%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU270+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 : n006.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 12:52:40 PM UTC 2026
% Result : Theorem 34.57s 5.32s
% Output : Refutation 34.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 112 ( 26 unt; 4 def)
% Number of atoms : 396 ( 40 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 500 ( 216 ~; 204 |; 53 &)
% ( 17 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 140 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f9,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
| ordinal_subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
fof(f10,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
fof(f11,axiom,
! [X0,X1] :
( relation(X1)
=> ( X1 = inclusion_relation(X0)
<=> ( relation_field(X1) = X0
& ! [X2,X3] :
( ( in(X2,X0)
& in(X3,X0) )
=> ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2) ).
fof(f12,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(f14,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
~ ( in(X2,X1)
& in(X3,X1)
& X2 != X3
& ~ in(ordered_pair(X2,X3),X0)
& ~ in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_2) ).
fof(f17,axiom,
! [X0] : relation(inclusion_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_wellord2) ).
fof(f42,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f47,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f51,conjecture,
! [X0] :
( ordinal(X0)
=> connected(inclusion_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_wellord2) ).
fof(f52,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> connected(inclusion_relation(X0)) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f73,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ordinal_subset(X1,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f74,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ordinal_subset(X1,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( ( X1 = inclusion_relation(X0)
<=> ( relation_field(X1) = X0
& ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) )
| ~ in(X2,X0)
| ~ in(X3,X0) ) ) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f77,plain,
! [X0,X1] :
( ( X1 = inclusion_relation(X0)
<=> ( relation_field(X1) = X0
& ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) )
| ~ in(X2,X0)
| ~ in(X3,X0) ) ) )
| ~ relation(X1) ),
inference(flattening,[],[f76]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
( ~ in(X2,X1)
| ~ in(X3,X1)
| X2 = X3
| in(ordered_pair(X2,X3),X0)
| in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f82,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f83,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f82]) ).
fof(f87,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f88,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f87]) ).
fof(f93,plain,
? [X0] :
( ~ connected(inclusion_relation(X0))
& ordinal(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f98,plain,
! [X0] :
( ( ( connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) )
& ( is_connected_in(X0,relation_field(X0))
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f75]) ).
fof(f99,plain,
! [X0,X1] :
( ( ( X1 = inclusion_relation(X0)
| relation_field(X1) != X0
| ? [X2,X3] :
( ( ~ subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) )
& ( subset(X2,X3)
| in(ordered_pair(X2,X3),X1) )
& in(X2,X0)
& in(X3,X0) ) )
& ( ( relation_field(X1) = X0
& ! [X2,X3] :
( ( ( in(ordered_pair(X2,X3),X1)
| ~ subset(X2,X3) )
& ( subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) ) )
| ~ in(X2,X0)
| ~ in(X3,X0) ) )
| inclusion_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f77]) ).
fof(f100,plain,
! [X0,X1] :
( ( ( X1 = inclusion_relation(X0)
| relation_field(X1) != X0
| ? [X2,X3] :
( ( ~ subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) )
& ( subset(X2,X3)
| in(ordered_pair(X2,X3),X1) )
& in(X2,X0)
& in(X3,X0) ) )
& ( ( relation_field(X1) = X0
& ! [X2,X3] :
( ( ( in(ordered_pair(X2,X3),X1)
| ~ subset(X2,X3) )
& ( subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) ) )
| ~ in(X2,X0)
| ~ in(X3,X0) ) )
| inclusion_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( X1 = inclusion_relation(X0)
| relation_field(X1) != X0
| ? [X2,X3] :
( ( ~ subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) )
& ( subset(X2,X3)
| in(ordered_pair(X2,X3),X1) )
& in(X2,X0)
& in(X3,X0) ) )
& ( ( relation_field(X1) = X0
& ! [X4,X5] :
( ( ( in(ordered_pair(X4,X5),X1)
| ~ subset(X4,X5) )
& ( subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1) ) )
| ~ in(X4,X0)
| ~ in(X5,X0) ) )
| inclusion_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ( ( X1 = inclusion_relation(X0)
| relation_field(X1) != X0
| ( ( ~ subset(sK0(X0,X1),sK1(X0,X1))
| ~ in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) )
& ( subset(sK0(X0,X1),sK1(X0,X1))
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) )
& in(sK0(X0,X1),X0)
& in(sK1(X0,X1),X0) ) )
& ( ( relation_field(X1) = X0
& ! [X4,X5] :
( ( ( in(ordered_pair(X4,X5),X1)
| ~ subset(X4,X5) )
& ( subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1) ) )
| ~ in(X4,X0)
| ~ in(X5,X0) ) )
| inclusion_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f101]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ? [X2,X3] :
( in(X2,X1)
& in(X3,X1)
& X2 != X3
& ~ in(ordered_pair(X2,X3),X0)
& ~ in(ordered_pair(X3,X2),X0) ) )
& ( ! [X2,X3] :
( ~ in(X2,X1)
| ~ in(X3,X1)
| X2 = X3
| in(ordered_pair(X2,X3),X0)
| in(ordered_pair(X3,X2),X0) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ? [X2,X3] :
( in(X2,X1)
& in(X3,X1)
& X2 != X3
& ~ in(ordered_pair(X2,X3),X0)
& ~ in(ordered_pair(X3,X2),X0) ) )
& ( ! [X4,X5] :
( ~ in(X4,X1)
| ~ in(X5,X1)
| X4 = X5
| in(ordered_pair(X4,X5),X0)
| in(ordered_pair(X5,X4),X0) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ( in(sK2(X0,X1),X1)
& in(sK3(X0,X1),X1)
& sK2(X0,X1) != sK3(X0,X1)
& ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
& ~ in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( ~ in(X4,X1)
| ~ in(X5,X1)
| X4 = X5
| in(ordered_pair(X4,X5),X0)
| in(ordered_pair(X5,X4),X0) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f104]) ).
fof(f116,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f83]) ).
fof(f118,plain,
( ~ connected(inclusion_relation(sK14))
& ordinal(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f93]) ).
fof(f129,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f131,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f133,plain,
! [X0] :
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f135,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ subset(X4,X5)
| ~ in(X4,X0)
| ~ in(X5,X0)
| inclusion_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f136,plain,
! [X0,X1] :
( relation_field(X1) = X0
| inclusion_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f141,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f144,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| ~ in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f145,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f147,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| in(sK3(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f148,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| in(sK2(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f149,plain,
! [X0] : relation(inclusion_relation(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f186,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f192,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f197,plain,
ordinal(sK14),
inference(cnf_transformation,[],[f118]) ).
fof(f198,plain,
~ connected(inclusion_relation(sK14)),
inference(cnf_transformation,[],[f118]) ).
fof(f205,plain,
! [X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| ~ subset(X4,X5)
| ~ in(X4,X0)
| ~ in(X5,X0)
| inclusion_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f135,f141]) ).
fof(f207,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| ~ in(unordered_pair(unordered_pair(sK2(X0,X1),sK3(X0,X1)),singleton(sK2(X0,X1))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f145,f141]) ).
fof(f208,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| ~ in(unordered_pair(unordered_pair(sK3(X0,X1),sK2(X0,X1)),singleton(sK3(X0,X1))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f144,f141]) ).
fof(f215,plain,
! [X0] :
( relation_field(inclusion_relation(X0)) = X0
| ~ relation(inclusion_relation(X0)) ),
inference(equality_resolution,[],[f136]) ).
fof(f216,plain,
! [X0,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),inclusion_relation(X0))
| ~ subset(X4,X5)
| ~ in(X4,X0)
| ~ in(X5,X0)
| ~ relation(inclusion_relation(X0)) ),
inference(equality_resolution,[],[f205]) ).
fof(f308,plain,
! [X0] : relation_field(inclusion_relation(X0)) = X0,
inference(forward_subsumption_resolution,[],[f215,f149]) ).
fof(f309,plain,
! [X0] :
( ~ is_connected_in(inclusion_relation(X0),X0)
| connected(inclusion_relation(X0))
| ~ relation(inclusion_relation(X0)) ),
inference(superposition,[],[f133,f308]) ).
fof(f312,plain,
! [X0] :
( connected(inclusion_relation(X0))
| ~ is_connected_in(inclusion_relation(X0),X0) ),
inference(forward_subsumption_resolution,[],[f309,f149]) ).
fof(f354,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| ~ in(unordered_pair(singleton(sK2(X0,X1)),unordered_pair(sK2(X0,X1),sK3(X0,X1))),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f207,f129]) ).
fof(f355,plain,
~ is_connected_in(inclusion_relation(sK14),sK14),
inference(resolution,[],[f312,f198]) ).
fof(f356,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK3(X0,X1),sK2(X0,X1))),X0)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f208,f129]) ).
fof(f357,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| ~ in(unordered_pair(singleton(sK3(X0,X1)),unordered_pair(sK2(X0,X1),sK3(X0,X1))),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f356,f129]) ).
fof(f359,plain,
( in(sK2(inclusion_relation(sK14),sK14),sK14)
| ~ relation(inclusion_relation(sK14)) ),
inference(resolution,[],[f355,f148]) ).
fof(f360,plain,
( in(sK3(inclusion_relation(sK14),sK14),sK14)
| ~ relation(inclusion_relation(sK14)) ),
inference(resolution,[],[f355,f147]) ).
fof(f361,plain,
in(sK3(inclusion_relation(sK14),sK14),sK14),
inference(forward_subsumption_resolution,[],[f360,f149]) ).
fof(f362,plain,
in(sK2(inclusion_relation(sK14),sK14),sK14),
inference(forward_subsumption_resolution,[],[f359,f149]) ).
fof(f363,plain,
! [X0] :
( ~ in(unordered_pair(singleton(sK2(X0,relation_field(X0))),unordered_pair(sK2(X0,relation_field(X0)),sK3(X0,relation_field(X0)))),X0)
| ~ relation(X0)
| connected(X0)
| ~ relation(X0) ),
inference(resolution,[],[f354,f133]) ).
fof(f365,plain,
! [X0] :
( connected(X0)
| ~ relation(X0)
| ~ in(unordered_pair(singleton(sK2(X0,relation_field(X0))),unordered_pair(sK2(X0,relation_field(X0)),sK3(X0,relation_field(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f371,plain,
! [X0] :
( ~ in(unordered_pair(singleton(sK3(X0,relation_field(X0))),unordered_pair(sK2(X0,relation_field(X0)),sK3(X0,relation_field(X0)))),X0)
| ~ relation(X0)
| connected(X0)
| ~ relation(X0) ),
inference(resolution,[],[f357,f133]) ).
fof(f373,plain,
! [X0] :
( connected(X0)
| ~ relation(X0)
| ~ in(unordered_pair(singleton(sK3(X0,relation_field(X0))),unordered_pair(sK2(X0,relation_field(X0)),sK3(X0,relation_field(X0)))),X0) ),
inference(duplicate_literal_removal,[],[f371]) ).
fof(f375,plain,
! [X0,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),inclusion_relation(X0))
| ~ subset(X4,X5)
| ~ in(X4,X0)
| ~ in(X5,X0) ),
inference(forward_subsumption_resolution,[],[f216,f149]) ).
fof(f376,plain,
! [X0,X4,X5] :
( in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),inclusion_relation(X0))
| ~ subset(X4,X5)
| ~ in(X4,X0)
| ~ in(X5,X0) ),
inference(forward_demodulation,[],[f375,f129]) ).
fof(f385,plain,
! [X2,X0,X1] :
( in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),inclusion_relation(X2))
| ~ subset(X1,X0)
| ~ in(X1,X2)
| ~ in(X0,X2) ),
inference(superposition,[],[f376,f129]) ).
fof(f550,definition,
( spl15_21
<=> ordinal(sK3(inclusion_relation(sK14),sK14)) ),
introduced(definition,[new_symbols(definition,[spl15_21])],[avatar_definition]) ).
fof(f551,plain,
( ~ ordinal(sK3(inclusion_relation(sK14),sK14))
| spl15_21 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f567,plain,
( ! [X0] :
( ~ in(sK3(inclusion_relation(sK14),sK14),X0)
| ~ ordinal(X0) )
| spl15_21 ),
inference(resolution,[],[f551,f192]) ).
fof(f581,plain,
( ~ ordinal(sK14)
| spl15_21 ),
inference(resolution,[],[f567,f361]) ).
fof(f583,plain,
( $false
| spl15_21 ),
inference(forward_subsumption_resolution,[],[f581,f197]) ).
fof(f584,plain,
spl15_21,
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f957,plain,
( ~ relation(inclusion_relation(sK14))
| ~ in(unordered_pair(singleton(sK2(inclusion_relation(sK14),relation_field(inclusion_relation(sK14)))),unordered_pair(sK2(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))),sK3(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))))),inclusion_relation(sK14)) ),
inference(resolution,[],[f365,f198]) ).
fof(f958,plain,
~ in(unordered_pair(singleton(sK2(inclusion_relation(sK14),relation_field(inclusion_relation(sK14)))),unordered_pair(sK2(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))),sK3(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))))),inclusion_relation(sK14)),
inference(forward_subsumption_resolution,[],[f957,f149]) ).
fof(f959,plain,
~ in(unordered_pair(singleton(sK2(inclusion_relation(sK14),sK14)),unordered_pair(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14))),inclusion_relation(sK14)),
inference(forward_demodulation,[],[f958,f308]) ).
fof(f965,plain,
( ~ relation(inclusion_relation(sK14))
| ~ in(unordered_pair(singleton(sK3(inclusion_relation(sK14),relation_field(inclusion_relation(sK14)))),unordered_pair(sK2(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))),sK3(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))))),inclusion_relation(sK14)) ),
inference(resolution,[],[f373,f198]) ).
fof(f966,plain,
~ in(unordered_pair(singleton(sK3(inclusion_relation(sK14),relation_field(inclusion_relation(sK14)))),unordered_pair(sK2(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))),sK3(inclusion_relation(sK14),relation_field(inclusion_relation(sK14))))),inclusion_relation(sK14)),
inference(forward_subsumption_resolution,[],[f965,f149]) ).
fof(f967,plain,
~ in(unordered_pair(singleton(sK3(inclusion_relation(sK14),sK14)),unordered_pair(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14))),inclusion_relation(sK14)),
inference(forward_demodulation,[],[f966,f308]) ).
fof(f1026,definition,
( spl15_51
<=> ordinal(sK2(inclusion_relation(sK14),sK14)) ),
introduced(definition,[new_symbols(definition,[spl15_51])],[avatar_definition]) ).
fof(f1027,plain,
( ~ ordinal(sK2(inclusion_relation(sK14),sK14))
| spl15_51 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1036,plain,
( ! [X0] :
( ~ in(sK2(inclusion_relation(sK14),sK14),X0)
| ~ ordinal(X0) )
| spl15_51 ),
inference(resolution,[],[f1027,f192]) ).
fof(f1046,plain,
( ~ subset(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14))
| ~ in(sK2(inclusion_relation(sK14),sK14),sK14)
| ~ in(sK3(inclusion_relation(sK14),sK14),sK14) ),
inference(resolution,[],[f959,f376]) ).
fof(f1055,plain,
( ~ subset(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14))
| ~ in(sK3(inclusion_relation(sK14),sK14),sK14) ),
inference(forward_subsumption_resolution,[],[f1046,f362]) ).
fof(f1068,plain,
~ subset(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14)),
inference(forward_subsumption_resolution,[],[f1055,f361]) ).
fof(f1082,plain,
( ~ subset(sK3(inclusion_relation(sK14),sK14),sK2(inclusion_relation(sK14),sK14))
| ~ in(sK3(inclusion_relation(sK14),sK14),sK14)
| ~ in(sK2(inclusion_relation(sK14),sK14),sK14) ),
inference(resolution,[],[f967,f385]) ).
fof(f1085,plain,
( ~ subset(sK3(inclusion_relation(sK14),sK14),sK2(inclusion_relation(sK14),sK14))
| ~ in(sK2(inclusion_relation(sK14),sK14),sK14) ),
inference(forward_subsumption_resolution,[],[f1082,f361]) ).
fof(f1086,plain,
~ subset(sK3(inclusion_relation(sK14),sK14),sK2(inclusion_relation(sK14),sK14)),
inference(forward_subsumption_resolution,[],[f1085,f362]) ).
fof(f1110,plain,
( ~ ordinal(sK14)
| spl15_51 ),
inference(resolution,[],[f1036,f362]) ).
fof(f1113,plain,
( $false
| spl15_51 ),
inference(forward_subsumption_resolution,[],[f1110,f197]) ).
fof(f1114,plain,
spl15_51,
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1149,plain,
( ~ ordinal_subset(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14))
| ~ ordinal(sK2(inclusion_relation(sK14),sK14))
| ~ ordinal(sK3(inclusion_relation(sK14),sK14)) ),
inference(resolution,[],[f1068,f186]) ).
fof(f1152,definition,
( spl15_69
<=> ordinal_subset(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14)) ),
introduced(definition,[new_symbols(definition,[spl15_69])],[avatar_definition]) ).
fof(f1153,plain,
( ~ ordinal_subset(sK2(inclusion_relation(sK14),sK14),sK3(inclusion_relation(sK14),sK14))
| spl15_69 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1154,plain,
( ~ spl15_21
| ~ spl15_51
| ~ spl15_69 ),
inference(avatar_split_clause,[],[f1149,f1152,f1026,f550]) ).
fof(f1160,plain,
( ~ ordinal_subset(sK3(inclusion_relation(sK14),sK14),sK2(inclusion_relation(sK14),sK14))
| ~ ordinal(sK3(inclusion_relation(sK14),sK14))
| ~ ordinal(sK2(inclusion_relation(sK14),sK14)) ),
inference(resolution,[],[f1086,f186]) ).
fof(f1163,definition,
( spl15_70
<=> ordinal_subset(sK3(inclusion_relation(sK14),sK14),sK2(inclusion_relation(sK14),sK14)) ),
introduced(definition,[new_symbols(definition,[spl15_70])],[avatar_definition]) ).
fof(f1165,plain,
( ~ spl15_51
| ~ spl15_21
| ~ spl15_70 ),
inference(avatar_split_clause,[],[f1160,f1163,f550,f1026]) ).
fof(f1173,plain,
( ordinal_subset(sK3(inclusion_relation(sK14),sK14),sK2(inclusion_relation(sK14),sK14))
| ~ ordinal(sK3(inclusion_relation(sK14),sK14))
| ~ ordinal(sK2(inclusion_relation(sK14),sK14))
| spl15_69 ),
inference(resolution,[],[f1153,f131]) ).
fof(f1175,plain,
( ~ spl15_51
| ~ spl15_21
| spl15_70
| spl15_69 ),
inference(avatar_split_clause,[],[f1173,f1152,f1163,f550,f1026]) ).
cnf(s22,plain,
spl15_21,
inference(sat_conversion,[],[f584]) ).
cnf(s59,plain,
spl15_51,
inference(sat_conversion,[],[f1114]) ).
cnf(s64,plain,
( ~ spl15_21
| ~ spl15_51
| ~ spl15_69 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s66,plain,
( ~ spl15_21
| ~ spl15_51
| ~ spl15_70 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s67,plain,
( ~ spl15_21
| ~ spl15_51
| spl15_69
| spl15_70 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s75,plain,
~ spl15_70,
inference(rat,[],[s66,s59,s22]) ).
cnf(s76,plain,
~ spl15_69,
inference(rat,[],[s64,s59,s22]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s67,s22,s59,s75,s76]) ).
fof(f1176,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU270+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:25:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 16.94/2.82 % (3579707)Will run a generic schedule for satisfiability detection.
% 16.94/2.82 % (3579713)% WARNING: option uhcvi not known.
% 16.94/2.82 % (3579713)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3035213719:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.94/2.82 % (3579712)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=814211399_2999 on theBenchmark for (2999ds/0Mi)
% 16.94/2.82 % (3579714)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2987495333:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.94/2.82 % (3579715)dis+10_1_sil=32000:sp=arity:random_seed=550178533:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.94/2.82 % (3579716)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=655897613:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.94/2.82 % (3579717)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3162799026:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.94/2.82 % (3579718)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3957292858:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.94/2.82 % TRYING [1]
% 16.94/2.82 % TRYING [2]
% 16.94/2.82 % TRYING [3]
% 16.94/2.82 % TRYING [4]
% 16.94/2.82 % (3579716)Instruction limit reached!
% 16.94/2.82 % (3579716)------------------------------
% 16.94/2.82 % (3579716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.82 % (3579716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.82 % (3579716)CaDiCaL version: 2.1.3
% 16.94/2.82 % (3579716)Termination reason: Instruction limit
% 16.94/2.82 % (3579716)Termination phase: Saturation
% 16.94/2.82 % (3579716)Time elapsed: 0.046 s
% 16.94/2.82 % (3579716)Peak memory usage: 12 MB
% 16.94/2.82 % (3579716)Instructions burned: 118 (million)
% 16.94/2.82 % (3579715)Instruction limit reached!
% 16.94/2.82 % (3579715)------------------------------
% 16.94/2.82 % (3579715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.82 % (3579715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.82 % (3579715)CaDiCaL version: 2.1.3
% 16.94/2.82 % (3579715)Termination reason: Instruction limit
% 16.94/2.82 % (3579715)Termination phase: Saturation
% 16.94/2.82 % (3579715)Time elapsed: 0.063 s
% 16.94/2.82 % (3579715)Peak memory usage: 12 MB
% 16.94/2.82 % (3579715)Instructions burned: 103 (million)
% 16.94/2.82 % (3579726)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=198878673:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.94/2.82 % TRYING [1]
% 16.94/2.82 % TRYING [2]
% 16.94/2.82 % TRYING [3]
% 16.94/2.82 % (3579727)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2461805354:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.94/2.82 % (3579717)Instruction limit reached!
% 16.94/2.82 % (3579717)------------------------------
% 16.94/2.82 % (3579717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.82 % (3579717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.82 % (3579717)CaDiCaL version: 2.1.3
% 16.94/2.82 % (3579717)Termination reason: Instruction limit
% 16.94/2.82 % (3579717)Termination phase: Saturation
% 16.94/2.82 % (3579717)Time elapsed: 0.085 s
% 16.94/2.82 % (3579717)Peak memory usage: 14 MB
% 16.94/2.82 % (3579717)Instructions burned: 132 (million)
% 16.94/2.82 % TRYING [4]
% 16.94/2.82 % (3579718)Instruction limit reached!
% 16.94/2.82 % (3579718)------------------------------
% 16.94/2.82 % (3579718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.82 % (3579718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.82 % (3579718)CaDiCaL version: 2.1.3
% 16.94/2.82 % (3579718)Termination reason: Instruction limit
% 16.94/2.82 % (3579718)Termination phase: Saturation
% 16.94/2.82 % (3579718)Time elapsed: 0.101 s
% 16.94/2.82 % (3579718)Peak memory usage: 13 MB
% 16.94/2.82 % (3579718)Instructions burned: 159 (million)
% 16.94/2.82 % (3579730)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=2685584389:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.94/2.82 % (3579731)ott-21_1_sil=16000:fs=off:random_seed=2802338227:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.94/2.82 % TRYING [5]
% 16.94/2.82 % (3579727)Instruction limit reached!
% 16.94/2.82 % (3579727)------------------------------
% 16.94/2.82 % (3579727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579727)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579727)Termination reason: Instruction limit
% 34.57/5.32 % (3579727)Termination phase: Saturation
% 34.57/5.32 % (3579727)Time elapsed: 0.086 s
% 34.57/5.32 % (3579727)Peak memory usage: 14 MB
% 34.57/5.32 % (3579727)Instructions burned: 132 (million)
% 34.57/5.32 % (3579734)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=799164167:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 34.57/5.32 % TRYING [5]
% 34.57/5.32 % (3579731)Instruction limit reached!
% 34.57/5.32 % (3579731)------------------------------
% 34.57/5.32 % (3579731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579731)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579731)Termination reason: Instruction limit
% 34.57/5.32 % (3579731)Termination phase: Saturation
% 34.57/5.32 % (3579731)Time elapsed: 0.093 s
% 34.57/5.32 % (3579731)Peak memory usage: 13 MB
% 34.57/5.32 % (3579731)Instructions burned: 182 (million)
% 34.57/5.32 % (3579736)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1129899291:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.57/5.32 % TRYING [1]
% 34.57/5.32 % TRYING [2]
% 34.57/5.32 % TRYING [3]
% 34.57/5.32 % TRYING [4]
% 34.57/5.32 % TRYING [5]
% 34.57/5.32 % (3579726)Instruction limit reached!
% 34.57/5.32 % (3579726)------------------------------
% 34.57/5.32 % (3579726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579726)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579726)Termination reason: Instruction limit
% 34.57/5.32 % (3579726)Termination phase: Finite model building SAT solving
% 34.57/5.32 % (3579726)Time elapsed: 0.400 s
% 34.57/5.32 % (3579726)Peak memory usage: 22 MB
% 34.57/5.32 % (3579726)Instructions burned: 715 (million)
% 34.57/5.32 % (3579738)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2569894819:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 34.57/5.32 % TRYING [6]
% 34.57/5.32 % (3579730)Instruction limit reached!
% 34.57/5.32 % (3579730)------------------------------
% 34.57/5.32 % (3579730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579730)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579730)Termination reason: Instruction limit
% 34.57/5.32 % (3579730)Termination phase: Saturation
% 34.57/5.32 % (3579730)Time elapsed: 0.407 s
% 34.57/5.32 % (3579730)Peak memory usage: 19 MB
% 34.57/5.32 % (3579730)Instructions burned: 685 (million)
% 34.57/5.32 % (3579734)Instruction limit reached!
% 34.57/5.32 % (3579734)------------------------------
% 34.57/5.32 % (3579734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579734)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579734)Termination reason: Instruction limit
% 34.57/5.32 % (3579734)Termination phase: Saturation
% 34.57/5.32 % (3579734)Time elapsed: 0.334 s
% 34.57/5.32 % (3579734)Peak memory usage: 14 MB
% 34.57/5.32 % (3579734)Instructions burned: 478 (million)
% 34.57/5.32 % (3579740)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1427959339:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 34.57/5.32 % (3579741)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=531988886: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)
% 34.57/5.32 % TRYING [14]
% 34.57/5.32 % (3579736)Instruction limit reached!
% 34.57/5.32 % (3579736)------------------------------
% 34.57/5.32 % (3579736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579736)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579736)Termination reason: Instruction limit
% 34.57/5.32 % (3579736)Termination phase: Finite model building constraint generation
% 34.57/5.32 % (3579736)Time elapsed: 0.350 s
% 34.57/5.32 % (3579736)Peak memory usage: 22 MB
% 34.57/5.32 % (3579736)Instructions burned: 866 (million)
% 34.57/5.32 % (3579744)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=444758735:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 34.57/5.32 % (3579740)Instruction limit reached!
% 34.57/5.32 % (3579740)------------------------------
% 34.57/5.32 % (3579740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579740)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579740)Termination reason: Instruction limit
% 34.57/5.32 % (3579740)Termination phase: Finite model building constraint generation
% 34.57/5.32 % (3579740)Time elapsed: 0.296 s
% 34.57/5.32 % (3579740)Peak memory usage: 65 MB
% 34.57/5.32 % (3579740)Instructions burned: 891 (million)
% 34.57/5.32 % (3579746)fmb+10_1_sil=64000:random_seed=943471780:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 34.57/5.32 % TRYING [1]
% 34.57/5.32 % TRYING [2]
% 34.57/5.32 % TRYING [3]
% 34.57/5.32 % TRYING [4]
% 34.57/5.32 % TRYING [5]
% 34.57/5.32 % (3579741)Instruction limit reached!
% 34.57/5.32 % (3579741)------------------------------
% 34.57/5.32 % (3579741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579741)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579741)Termination reason: Instruction limit
% 34.57/5.32 % (3579741)Termination phase: Saturation
% 34.57/5.32 % (3579741)Time elapsed: 0.410 s
% 34.57/5.32 % (3579741)Peak memory usage: 17 MB
% 34.57/5.32 % (3579741)Instructions burned: 695 (million)
% 34.57/5.32 % (3579748)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=942369344:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 34.57/5.32 % TRYING [20]
% 34.57/5.32 % TRYING [6]
% 34.57/5.32 % (3579744)Instruction limit reached!
% 34.57/5.32 % (3579744)------------------------------
% 34.57/5.32 % (3579744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579744)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579744)Termination reason: Instruction limit
% 34.57/5.32 % (3579744)Termination phase: Saturation
% 34.57/5.32 % (3579744)Time elapsed: 0.491 s
% 34.57/5.32 % (3579744)Peak memory usage: 18 MB
% 34.57/5.32 % (3579744)Instructions burned: 880 (million)
% 34.57/5.32 % (3579750)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1242854527:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 34.57/5.32 % TRYING [8]
% 34.57/5.32 % TRYING [6]
% 34.57/5.32 % (3579738)Instruction limit reached!
% 34.57/5.32 % (3579738)------------------------------
% 34.57/5.32 % (3579738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579738)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579738)Termination reason: Instruction limit
% 34.57/5.32 % (3579738)Termination phase: Saturation
% 34.57/5.32 % (3579738)Time elapsed: 0.665 s
% 34.57/5.32 % (3579738)Peak memory usage: 20 MB
% 34.57/5.32 % (3579738)Instructions burned: 1181 (million)
% 34.57/5.32 % (3579752)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=521589306:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 34.57/5.32 % (3579750)Instruction limit reached!
% 34.57/5.32 % (3579750)------------------------------
% 34.57/5.32 % (3579750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579750)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579750)Termination reason: Instruction limit
% 34.57/5.32 % (3579750)Termination phase: Finite model building SAT solving
% 34.57/5.32 % (3579750)Time elapsed: 0.386 s
% 34.57/5.32 % (3579750)Peak memory usage: 64 MB
% 34.57/5.32 % (3579750)Instructions burned: 922 (million)
% 34.57/5.32 % (3579754)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3167474862:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 34.57/5.32 % TRYING [7]
% 34.57/5.32 % (3579754)Instruction limit reached!
% 34.57/5.32 % (3579754)------------------------------
% 34.57/5.32 % (3579754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579754)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579754)Termination reason: Instruction limit
% 34.57/5.32 % (3579754)Termination phase: Saturation
% 34.57/5.32 % (3579754)Time elapsed: 0.817 s
% 34.57/5.32 % (3579754)Peak memory usage: 29 MB
% 34.57/5.32 % (3579754)Instructions burned: 1473 (million)
% 34.57/5.32 % (3579756)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=356334702:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 34.57/5.32 % TRYING [77]
% 34.57/5.32 % (3579752)Instruction limit reached!
% 34.57/5.32 % (3579752)------------------------------
% 34.57/5.32 % (3579752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579752)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579752)Termination reason: Instruction limit
% 34.57/5.32 % (3579752)Termination phase: Saturation
% 34.57/5.32 % (3579752)Time elapsed: 2.868 s
% 34.57/5.32 % (3579752)Peak memory usage: 25 MB
% 34.57/5.32 % (3579752)Instructions burned: 5131 (million)
% 34.57/5.32 % (3579758)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3237280466:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 34.57/5.32 % TRYING [16]
% 34.57/5.32 % (3579748)Instruction limit reached!
% 34.57/5.32 % (3579748)------------------------------
% 34.57/5.32 % (3579748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579748)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579748)Termination reason: Instruction limit
% 34.57/5.32 % (3579748)Termination phase: Finite model building constraint generation
% 34.57/5.32 % (3579748)Time elapsed: 3.239 s
% 34.57/5.32 % (3579748)Peak memory usage: 523 MB
% 34.57/5.32 % (3579748)Instructions burned: 9517 (million)
% 34.57/5.32 % (3579760)ott-2_1_sil=16000:newcnf=on:random_seed=224009555:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 34.57/5.32 % (3579756)Instruction limit reached!
% 34.57/5.32 % (3579756)------------------------------
% 34.57/5.32 % (3579756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579756)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579756)Termination reason: Instruction limit
% 34.57/5.32 % (3579756)Termination phase: Finite model building constraint generation
% 34.57/5.32 % (3579756)Time elapsed: 2.076 s
% 34.57/5.32 % (3579756)Peak memory usage: 379 MB
% 34.57/5.32 % (3579756)Instructions burned: 6327 (million)
% 34.57/5.32 % (3579762)ott+10_1_sil=32000:tgt=ground:random_seed=3557254550:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 34.57/5.32 % (3579758)Instruction limit reached!
% 34.57/5.32 % (3579758)------------------------------
% 34.57/5.32 % (3579758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579758)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579758)Termination reason: Instruction limit
% 34.57/5.32 % (3579758)Termination phase: Finite model building constraint generation
% 34.57/5.32 % (3579758)Time elapsed: 0.722 s
% 34.57/5.32 % (3579758)Peak memory usage: 125 MB
% 34.57/5.32 % (3579758)Instructions burned: 2176 (million)
% 34.57/5.32 % (3579760)Instruction limit reached!
% 34.57/5.32 % (3579760)------------------------------
% 34.57/5.32 % (3579760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579760)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579760)Termination reason: Instruction limit
% 34.57/5.32 % (3579760)Termination phase: Saturation
% 34.57/5.32 % (3579760)Time elapsed: 0.524 s
% 34.57/5.32 % (3579760)Peak memory usage: 15 MB
% 34.57/5.32 % (3579760)Instructions burned: 870 (million)
% 34.57/5.32 % (3579764)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3108010660:i=54282_2951 on theBenchmark for (2951ds/54282Mi)
% 34.57/5.32 % TRYING [1]
% 34.57/5.32 % TRYING [2]
% 34.57/5.32 % TRYING [3]
% 34.57/5.32 % TRYING [8]
% 34.57/5.32 % (3579765)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2140589657:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 34.57/5.32 % TRYING [4]
% 34.57/5.32 % (3579765) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3579707-3579765"...
% 34.57/5.32 % (3579765)...printing done.
% 34.57/5.32 % (3579765)Refutation found. Thanks to Tanya!
% 34.57/5.32 % SZS status Theorem for theBenchmark
% 34.57/5.32 % SZS output start Proof for theBenchmark
% See solution above
% 34.57/5.32 % (3579765)------------------------------
% 34.57/5.32 % (3579765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.57/5.32 % (3579765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.57/5.32 % (3579765)CaDiCaL version: 2.1.3
% 34.57/5.32 % (3579765)Termination reason: Refutation
% 34.57/5.32 % (3579765)Time elapsed: 0.030 s
% 34.57/5.32 % (3579765)Peak memory usage: 13 MB
% 34.57/5.32 % (3579765)Instructions burned: 44 (million)
% 34.57/5.32 % (3579707)Success in time 4.905 s
% 34.57/5.32 % Vampire exiting
%------------------------------------------------------------------------------