%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU340+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:48:25 PM UTC 2026
% Result : Theorem 2.60s 1.28s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 180 ( 36 unt; 18 def)
% Number of atoms : 552 ( 2 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 657 ( 285 ~; 267 |; 58 &)
% ( 26 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 19 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 215 ( 0 sgn 201 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f4,axiom,
! [X0] :
( rel_str(X0)
=> ( transitive_relstr(X0)
<=> is_transitive_in(the_InternalRel(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_orders_2) ).
fof(f5,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(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( ( in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) )
=> in(ordered_pair(X2,X4),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_2) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f18,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f37,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(f39,conjecture,
! [X0] :
( ( transitive_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X3) )
=> related(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_orders_2) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( ( transitive_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X3) )
=> related(X0,X1,X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f44,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f46,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f53,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f54,plain,
! [X0] :
( ( transitive_relstr(X0)
<=> is_transitive_in(the_InternalRel(X0),the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f59,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ related(X0,X1,X3)
& related(X0,X1,X2)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& transitive_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ related(X0,X1,X3)
& related(X0,X1,X2)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& transitive_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f67,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f69,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f73,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f75,plain,
! [X0] :
( ( ( transitive_relstr(X0)
| ~ is_transitive_in(the_InternalRel(X0),the_carrier(X0)) )
& ( is_transitive_in(the_InternalRel(X0),the_carrier(X0))
| ~ transitive_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ? [X2,X3,X4] :
( ~ in(ordered_pair(X2,X4),X0)
& in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f56]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ? [X2,X3,X4] :
( ~ in(ordered_pair(X2,X4),X0)
& in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X5,X6,X7] :
( in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X6,X7),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ( ~ in(ordered_pair(sK0(X0,X1),sK2(X0,X1)),X0)
& in(sK0(X0,X1),X1)
& in(sK1(X0,X1),X1)
& in(sK2(X0,X1),X1)
& in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
& in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ) )
& ( ! [X5,X6,X7] :
( in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X6,X7),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1)),skolemize(X4,sK2(X0,X1))],[f77]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
( ~ related(sK11,sK12,sK14)
& related(sK11,sK12,sK13)
& related(sK11,sK13,sK14)
& element(sK14,the_carrier(sK11))
& element(sK13,the_carrier(sK11))
& element(sK12,the_carrier(sK11))
& transitive_relstr(sK11)
& rel_str(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14)],[f65]) ).
fof(f93,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f53]) ).
fof(f95,plain,
! [X0] :
( ~ transitive_relstr(X0)
| is_transitive_in(the_InternalRel(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f97,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
! [X0,X1,X6,X7,X5] :
( in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X6,X7),X0)
| ~ is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f105,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f106,plain,
! [X2,X0,X1] :
( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f108,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f131,plain,
rel_str(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f132,plain,
transitive_relstr(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f133,plain,
element(sK12,the_carrier(sK11)),
inference(cnf_transformation,[],[f91]) ).
fof(f134,plain,
element(sK13,the_carrier(sK11)),
inference(cnf_transformation,[],[f91]) ).
fof(f135,plain,
element(sK14,the_carrier(sK11)),
inference(cnf_transformation,[],[f91]) ).
fof(f136,plain,
related(sK11,sK13,sK14),
inference(cnf_transformation,[],[f91]) ).
fof(f137,plain,
related(sK11,sK12,sK13),
inference(cnf_transformation,[],[f91]) ).
fof(f138,plain,
~ related(sK11,sK12,sK14),
inference(cnf_transformation,[],[f91]) ).
fof(f139,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f141,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f144,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f149,plain,
! [X0,X1,X6,X7,X5] :
( ~ relation(X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
| ~ is_transitive_in(X0,X1)
| in(unordered_pair(unordered_pair(X5,X7),singleton(X5)),X0) ),
inference(definition_unfolding,[],[f98,f97,f97,f97]) ).
fof(f150,plain,
! [X2,X0,X1] :
( related(X0,X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(definition_unfolding,[],[f106,f97]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ related(X0,X1,X2)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(definition_unfolding,[],[f105,f97]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f128,f97]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(definition_unfolding,[],[f127,f97]) ).
fof(f174,plain,
( in(sK13,the_carrier(sK11))
| empty(the_carrier(sK11)) ),
inference(resolution,[],[f139,f134]) ).
fof(f177,definition,
( spl16_1
<=> empty(the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f178,plain,
( empty(the_carrier(sK11))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,definition,
( spl16_2
<=> in(sK14,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f181,plain,
( in(sK14,the_carrier(sK11))
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl16_3
<=> in(sK13,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f186,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f174,f184,f177]) ).
fof(f188,definition,
( spl16_4
<=> in(sK12,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f191,plain,
( is_transitive_in(the_InternalRel(sK11),the_carrier(sK11))
| ~ rel_str(sK11) ),
inference(resolution,[],[f95,f132]) ).
fof(f193,definition,
( spl16_5
<=> rel_str(sK11) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f194,plain,
( ~ rel_str(sK11)
| spl16_5 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,definition,
( spl16_6
<=> is_transitive_in(the_InternalRel(sK11),the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f197,plain,
( is_transitive_in(the_InternalRel(sK11),the_carrier(sK11))
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f198,plain,
( ~ spl16_5
| spl16_6 ),
inference(avatar_split_clause,[],[f191,f196,f193]) ).
fof(f199,plain,
( $false
| spl16_5 ),
inference(resolution,[],[f194,f131]) ).
fof(f200,plain,
spl16_5,
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f226,plain,
! [X0] :
( ~ rel_str(X0)
| element(the_InternalRel(X0),powerset(cartesian_product2(the_carrier(X0),the_carrier(X0)))) ),
inference(resolution,[],[f107,f108]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| in(X0,X2)
| empty(X2) ),
inference(resolution,[],[f141,f139]) ).
fof(f243,plain,
( ~ in(unordered_pair(unordered_pair(sK12,sK14),singleton(sK12)),the_InternalRel(sK11))
| ~ element(sK14,the_carrier(sK11))
| ~ element(sK12,the_carrier(sK11))
| ~ rel_str(sK11) ),
inference(resolution,[],[f150,f138]) ).
fof(f245,definition,
( spl16_7
<=> element(sK12,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f246,plain,
( ~ element(sK12,the_carrier(sK11))
| spl16_7 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,definition,
( spl16_8
<=> element(sK14,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f249,plain,
( ~ element(sK14,the_carrier(sK11))
| spl16_8 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,definition,
( spl16_9
<=> in(unordered_pair(unordered_pair(sK12,sK14),singleton(sK12)),the_InternalRel(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f252,plain,
( ~ in(unordered_pair(unordered_pair(sK12,sK14),singleton(sK12)),the_InternalRel(sK11))
| spl16_9 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ spl16_5
| ~ spl16_7
| ~ spl16_8
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f243,f251,f248,f245,f193]) ).
fof(f254,plain,
( $false
| spl16_7 ),
inference(resolution,[],[f246,f133]) ).
fof(f257,plain,
spl16_7,
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f258,plain,
( $false
| spl16_8 ),
inference(resolution,[],[f249,f135]) ).
fof(f261,plain,
spl16_8,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f262,plain,
( in(unordered_pair(unordered_pair(sK13,sK14),singleton(sK13)),the_InternalRel(sK11))
| ~ element(sK14,the_carrier(sK11))
| ~ element(sK13,the_carrier(sK11))
| ~ rel_str(sK11) ),
inference(resolution,[],[f151,f136]) ).
fof(f263,plain,
( in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),the_InternalRel(sK11))
| ~ element(sK13,the_carrier(sK11))
| ~ element(sK12,the_carrier(sK11))
| ~ rel_str(sK11) ),
inference(resolution,[],[f151,f137]) ).
fof(f267,definition,
( spl16_10
<=> element(sK13,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f268,plain,
( ~ element(sK13,the_carrier(sK11))
| spl16_10 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,definition,
( spl16_11
<=> in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),the_InternalRel(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f271,plain,
( in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),the_InternalRel(sK11))
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( ~ spl16_5
| ~ spl16_7
| ~ spl16_10
| spl16_11 ),
inference(avatar_split_clause,[],[f263,f270,f267,f245,f193]) ).
fof(f274,definition,
( spl16_12
<=> in(unordered_pair(unordered_pair(sK13,sK14),singleton(sK13)),the_InternalRel(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f275,plain,
( in(unordered_pair(unordered_pair(sK13,sK14),singleton(sK13)),the_InternalRel(sK11))
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( ~ spl16_5
| ~ spl16_10
| ~ spl16_8
| spl16_12 ),
inference(avatar_split_clause,[],[f262,f274,f248,f267,f193]) ).
fof(f277,plain,
( $false
| spl16_10 ),
inference(resolution,[],[f268,f134]) ).
fof(f280,plain,
spl16_10,
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_transitive_in(X4,X1)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),X4)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X4)
| ~ in(X0,X1)
| in(unordered_pair(unordered_pair(X0,X3),singleton(X0)),X4)
| ~ element(X4,powerset(cartesian_product2(X5,X6))) ),
inference(resolution,[],[f149,f93]) ).
fof(f332,plain,
element(the_InternalRel(sK11),powerset(cartesian_product2(the_carrier(sK11),the_carrier(sK11)))),
inference(resolution,[],[f226,f131]) ).
fof(f334,plain,
! [X0] :
( ~ in(X0,the_InternalRel(sK11))
| ~ empty(cartesian_product2(the_carrier(sK11),the_carrier(sK11))) ),
inference(resolution,[],[f332,f142]) ).
fof(f344,definition,
( spl16_15
<=> empty(cartesian_product2(the_carrier(sK11),the_carrier(sK11))) ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f347,definition,
( spl16_16
<=> ! [X0] : ~ in(X0,the_InternalRel(sK11)) ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f348,plain,
( ! [X0] : ~ in(X0,the_InternalRel(sK11))
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f349,plain,
( ~ spl16_15
| spl16_16 ),
inference(avatar_split_clause,[],[f334,f347,f344]) ).
fof(f364,plain,
! [X0] :
( ~ in(X0,the_InternalRel(sK11))
| in(X0,cartesian_product2(the_carrier(sK11),the_carrier(sK11)))
| empty(cartesian_product2(the_carrier(sK11),the_carrier(sK11))) ),
inference(resolution,[],[f227,f332]) ).
fof(f371,definition,
( spl16_17
<=> ! [X0] :
( ~ in(X0,the_InternalRel(sK11))
| in(X0,cartesian_product2(the_carrier(sK11),the_carrier(sK11))) ) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f372,plain,
( ! [X0] :
( in(X0,cartesian_product2(the_carrier(sK11),the_carrier(sK11)))
| ~ in(X0,the_InternalRel(sK11)) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f373,plain,
( spl16_15
| spl16_17 ),
inference(avatar_split_clause,[],[f364,f371,f344]) ).
fof(f375,plain,
( $false
| ~ spl16_12
| ~ spl16_16 ),
inference(resolution,[],[f348,f275]) ).
fof(f377,plain,
( ~ spl16_12
| ~ spl16_16 ),
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f385,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK11))
| in(X1,the_carrier(sK11)) )
| ~ spl16_17 ),
inference(resolution,[],[f372,f154]) ).
fof(f386,plain,
( ! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK11))
| in(X0,the_carrier(sK11)) )
| ~ spl16_17 ),
inference(resolution,[],[f372,f153]) ).
fof(f404,plain,
( in(sK14,the_carrier(sK11))
| ~ spl16_12
| ~ spl16_17 ),
inference(resolution,[],[f385,f275]) ).
fof(f405,plain,
( in(sK12,the_carrier(sK11))
| ~ spl16_11
| ~ spl16_17 ),
inference(resolution,[],[f386,f271]) ).
fof(f433,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(X0,the_carrier(sK11))
| ~ in(X1,the_carrier(sK11))
| ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),the_InternalRel(sK11))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK11))
| ~ in(X2,the_carrier(sK11))
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),the_InternalRel(sK11))
| ~ element(the_InternalRel(sK11),powerset(cartesian_product2(X3,X4))) )
| ~ spl16_6 ),
inference(resolution,[],[f293,f197]) ).
fof(f441,definition,
( spl16_21
<=> ! [X4,X3] : ~ element(the_InternalRel(sK11),powerset(cartesian_product2(X3,X4))) ),
introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).
fof(f442,plain,
( ! [X3,X4] : ~ element(the_InternalRel(sK11),powerset(cartesian_product2(X3,X4)))
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,definition,
( spl16_22
<=> ! [X2,X0,X1] :
( ~ in(X0,the_carrier(sK11))
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),the_InternalRel(sK11))
| ~ in(X2,the_carrier(sK11))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK11))
| ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),the_InternalRel(sK11))
| ~ in(X1,the_carrier(sK11)) ) ),
introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).
fof(f445,plain,
( ! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),the_InternalRel(sK11))
| ~ in(X0,the_carrier(sK11))
| ~ in(X2,the_carrier(sK11))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK11))
| ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),the_InternalRel(sK11))
| ~ in(X1,the_carrier(sK11)) )
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( spl16_21
| spl16_22
| ~ spl16_6 ),
inference(avatar_split_clause,[],[f433,f196,f444,f441]) ).
fof(f457,plain,
( $false
| ~ spl16_21 ),
inference(resolution,[],[f442,f332]) ).
fof(f460,plain,
~ spl16_21,
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f465,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sK11))
| ~ in(sK12,the_carrier(sK11))
| ~ in(unordered_pair(unordered_pair(X0,sK14),singleton(X0)),the_InternalRel(sK11))
| ~ in(unordered_pair(unordered_pair(sK12,X0),singleton(sK12)),the_InternalRel(sK11))
| ~ in(sK14,the_carrier(sK11)) )
| spl16_9
| ~ spl16_22 ),
inference(resolution,[],[f445,f252]) ).
fof(f476,definition,
( spl16_23
<=> ! [X0] :
( ~ in(X0,the_carrier(sK11))
| ~ in(unordered_pair(unordered_pair(sK12,X0),singleton(sK12)),the_InternalRel(sK11))
| ~ in(unordered_pair(unordered_pair(X0,sK14),singleton(X0)),the_InternalRel(sK11)) ) ),
introduced(definition,[new_symbols(definition,[spl16_23])],[avatar_definition]) ).
fof(f477,plain,
( ! [X0] :
( ~ in(unordered_pair(unordered_pair(sK12,X0),singleton(sK12)),the_InternalRel(sK11))
| ~ in(unordered_pair(unordered_pair(X0,sK14),singleton(X0)),the_InternalRel(sK11))
| ~ in(X0,the_carrier(sK11)) )
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( ~ spl16_2
| ~ spl16_4
| spl16_23
| spl16_9
| ~ spl16_22 ),
inference(avatar_split_clause,[],[f465,f444,f251,f476,f188,f180]) ).
fof(f479,plain,
( spl16_2
| ~ spl16_12
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f404,f371,f274,f180]) ).
fof(f480,plain,
( spl16_4
| ~ spl16_11
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f405,f371,f270,f188]) ).
fof(f483,plain,
( ! [X0] : ~ in(X0,the_carrier(sK11))
| ~ spl16_1 ),
inference(resolution,[],[f178,f144]) ).
fof(f485,plain,
( $false
| ~ spl16_1
| ~ spl16_2 ),
inference(resolution,[],[f483,f181]) ).
fof(f489,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f492,plain,
( ~ in(unordered_pair(unordered_pair(sK12,sK13),singleton(sK12)),the_InternalRel(sK11))
| ~ in(sK13,the_carrier(sK11))
| ~ spl16_12
| ~ spl16_23 ),
inference(resolution,[],[f477,f275]) ).
fof(f502,plain,
( ~ spl16_3
| ~ spl16_11
| ~ spl16_12
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f492,f476,f274,f270,f184]) ).
cnf(s2,plain,
( spl16_1
| spl16_3 ),
inference(sat_conversion,[],[f186]) ).
cnf(s4,plain,
( ~ spl16_5
| spl16_6 ),
inference(sat_conversion,[],[f198]) ).
cnf(s5,plain,
spl16_5,
inference(sat_conversion,[],[f200]) ).
cnf(s6,plain,
( ~ spl16_5
| ~ spl16_7
| ~ spl16_8
| ~ spl16_9 ),
inference(sat_conversion,[],[f253]) ).
cnf(s7,plain,
spl16_7,
inference(sat_conversion,[],[f257]) ).
cnf(s8,plain,
spl16_8,
inference(sat_conversion,[],[f261]) ).
cnf(s9,plain,
( ~ spl16_5
| ~ spl16_7
| ~ spl16_10
| spl16_11 ),
inference(sat_conversion,[],[f272]) ).
cnf(s10,plain,
( ~ spl16_5
| ~ spl16_8
| ~ spl16_10
| spl16_12 ),
inference(sat_conversion,[],[f276]) ).
cnf(s11,plain,
spl16_10,
inference(sat_conversion,[],[f280]) ).
cnf(s13,plain,
( ~ spl16_15
| spl16_16 ),
inference(sat_conversion,[],[f349]) ).
cnf(s15,plain,
( spl16_15
| spl16_17 ),
inference(sat_conversion,[],[f373]) ).
cnf(s16,plain,
( ~ spl16_12
| ~ spl16_16 ),
inference(sat_conversion,[],[f377]) ).
cnf(s24,plain,
( ~ spl16_6
| spl16_21
| spl16_22 ),
inference(sat_conversion,[],[f446]) ).
cnf(s25,plain,
~ spl16_21,
inference(sat_conversion,[],[f460]) ).
cnf(s26,plain,
( ~ spl16_2
| ~ spl16_4
| spl16_9
| ~ spl16_22
| spl16_23 ),
inference(sat_conversion,[],[f478]) ).
cnf(s27,plain,
( spl16_2
| ~ spl16_12
| ~ spl16_17 ),
inference(sat_conversion,[],[f479]) ).
cnf(s28,plain,
( spl16_4
| ~ spl16_11
| ~ spl16_17 ),
inference(sat_conversion,[],[f480]) ).
cnf(s30,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f489]) ).
cnf(s33,plain,
( ~ spl16_3
| ~ spl16_11
| ~ spl16_12
| ~ spl16_23 ),
inference(sat_conversion,[],[f502]) ).
cnf(s35,plain,
( ~ spl16_6
| spl16_22 ),
inference(rat,[],[s24,s25]) ).
cnf(s37,plain,
( ~ spl16_5
| ~ spl16_8
| spl16_12 ),
inference(rat,[],[s10,s11]) ).
cnf(s38,plain,
( ~ spl16_5
| ~ spl16_7
| spl16_11 ),
inference(rat,[],[s9,s11]) ).
cnf(s39,plain,
( ~ spl16_5
| ~ spl16_9 ),
inference(rat,[],[s6,s8,s7]) ).
cnf(s40,plain,
spl16_12,
inference(rat,[],[s37,s8,s5]) ).
cnf(s41,plain,
spl16_11,
inference(rat,[],[s38,s7,s5]) ).
cnf(s42,plain,
~ spl16_9,
inference(rat,[],[s39,s5]) ).
cnf(s43,plain,
~ spl16_16,
inference(rat,[],[s16,s40]) ).
cnf(s44,plain,
~ spl16_15,
inference(rat,[],[s13,s43]) ).
cnf(s46,plain,
spl16_17,
inference(rat,[],[s15,s44]) ).
cnf(s49,plain,
spl16_2,
inference(rat,[],[s27,s40,s46]) ).
cnf(s50,plain,
spl16_4,
inference(rat,[],[s28,s41,s46]) ).
cnf(s51,plain,
~ spl16_1,
inference(rat,[],[s30,s49]) ).
cnf(s52,plain,
spl16_6,
inference(rat,[],[s4,s5]) ).
cnf(s53,plain,
spl16_22,
inference(rat,[],[s35,s52]) ).
cnf(s54,plain,
spl16_23,
inference(rat,[],[s26,s50,s49,s42,s53]) ).
cnf(s55,plain,
~ spl16_3,
inference(rat,[],[s33,s41,s40,s54]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s2,s55,s51]) ).
fof(f504,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU340+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.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 04:48:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/1.28 % (437360)Detected formulas, will run a generic FOF schedule.
% 2.60/1.28 % (437366)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2317857242:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.60/1.28 % (437365)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=430869408:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.60/1.28 % (437368)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=307371999:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.60/1.28 % (437369)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1943577683:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.60/1.28 % (437367)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3192439093:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.60/1.28 % (437370)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3139487635:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.60/1.28 % (437368)Refutation not found, incomplete strategy
% 2.60/1.28 % (437368)------------------------------
% 2.60/1.28 % (437368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28 % (437368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28 % (437368)CaDiCaL version: 2.1.3
% 2.60/1.28 % (437368)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.28 % (437368)Time elapsed: 0.001 s
% 2.60/1.28 % (437368)Peak memory usage: 88 MB
% 2.60/1.28 % (437371)dis-21_1_sil=8000:lcm=predicate:random_seed=2278586086:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.60/1.28 % (437371)First to succeed.
% 2.60/1.28 % (437371)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-437360"
% 2.60/1.28 % (437369)Instruction limit reached!
% 2.60/1.28 % (437369)------------------------------
% 2.60/1.28 % (437369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28 % (437369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28 % (437369)CaDiCaL version: 2.1.3
% 2.60/1.28 % (437369)Termination reason: Instruction limit
% 2.60/1.28 % (437369)Termination phase: Saturation
% 2.60/1.28 % (437369)Time elapsed: 0.071 s
% 2.60/1.28 % (437369)Peak memory usage: 89 MB
% 2.60/1.28 % (437369)Instructions burned: 119 (million)
% 2.60/1.28 % (437370)Instruction limit reached!
% 2.60/1.28 % (437370)------------------------------
% 2.60/1.28 % (437370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28 % (437370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28 % (437370)CaDiCaL version: 2.1.3
% 2.60/1.28 % (437370)Termination reason: Instruction limit
% 2.60/1.28 % (437370)Termination phase: Saturation
% 2.60/1.28 % (437370)Time elapsed: 0.092 s
% 2.60/1.28 % (437370)Peak memory usage: 90 MB
% 2.60/1.28 % (437370)Instructions burned: 140 (million)
% 2.60/1.28 % (437379)lrs+10_1_sil=8000:sp=occurrence:random_seed=1881366910:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.60/1.28 % (437380)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2339589276:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.60/1.28 % (437380)Refutation not found, incomplete strategy
% 2.60/1.28 % (437380)------------------------------
% 2.60/1.28 % (437380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28 % (437380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28 % (437380)CaDiCaL version: 2.1.3
% 2.60/1.28 % (437380)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.28 % (437380)Time elapsed: 0.002 s
% 2.60/1.28 % (437380)Peak memory usage: 88 MB
% 2.60/1.28 % (437380)Instructions burned: 1 (million)
% 2.60/1.28 % (437368)------------------------------
% 2.60/1.28 % (437368)------------------------------
% 2.60/1.28 % (437371)Refutation found. Thanks to Tanya!
% 2.60/1.28 % SZS status Theorem for theBenchmark
% 2.60/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.47 % (437371)------------------------------
% 3.57/1.47 % (437371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.47 % (437371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.47 % (437371)CaDiCaL version: 2.1.3
% 3.57/1.47 % (437371)Termination reason: Refutation
% 3.57/1.47 % (437371)Time elapsed: 0.011 s
% 3.57/1.47 % (437371)Peak memory usage: 89 MB
% 3.57/1.47 % (437371)Instructions burned: 14 (million)
% 3.57/1.47 % (437371)------------------------------
% 3.57/1.47 % (437371)------------------------------
% 3.57/1.47 % (437360)Success in time 0.422 s
% 3.57/1.48 % Vampire exiting
%------------------------------------------------------------------------------