%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB055+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:00:19 PM UTC 2026
% Result : Theorem 3.78s 1.55s
% Output : Refutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of formulae : 126 ( 20 unt; 8 def)
% Number of atoms : 583 ( 76 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 818 ( 361 ~; 367 |; 72 &)
% ( 16 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 207 ( 0 sgn 194 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f296,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).
fof(f351,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f559,conjecture,
? [X0,X1] :
( iext(uri_rdf_first,X0,uri_ex_y)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_e,X1)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_rdf_rest,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_enum_ext) ).
fof(f560,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_rdf_first,X0,uri_ex_y)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_e,X1)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_rdf_rest,X1,X0) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_owl_oneOf,X0,X2)
& iext(uri_owl_equivalentClass,uri_ex_e,X0)
& iext(uri_rdf_first,X2,uri_ex_x)
& iext(uri_rdf_rest,X2,X1)
& iext(uri_rdf_first,X1,uri_ex_y)
& iext(uri_rdf_rest,X1,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_enum_ext) ).
fof(f571,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,uri_ex_e,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,X0) ),
inference(ennf_transformation,[],[f560]) ).
fof(f580,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = X4 ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f296]) ).
fof(f581,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = X4 ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f580]) ).
fof(f589,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f202]) ).
fof(f605,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(nnf_transformation,[],[f581]) ).
fof(f606,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f605]) ).
fof(f607,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(rectify,[],[f606]) ).
fof(f608,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( ( sK3(X0,X2,X4) != X2
& sK3(X0,X2,X4) != X4 )
| ~ icext(X0,sK3(X0,X2,X4)) )
& ( sK3(X0,X2,X4) = X2
| sK3(X0,X2,X4) = X4
| icext(X0,sK3(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X5,sK3(X0,X2,X4))],[f607]) ).
fof(f617,plain,
( iext(uri_owl_oneOf,sK6,sK8)
& iext(uri_owl_equivalentClass,uri_ex_e,sK6)
& iext(uri_rdf_first,sK8,uri_ex_x)
& iext(uri_rdf_rest,sK8,sK7)
& iext(uri_rdf_first,sK7,uri_ex_y)
& iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f561]) ).
fof(f618,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f351]) ).
fof(f619,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f618]) ).
fof(f620,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f619]) ).
fof(f621,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK9(X0,X1))
| ~ icext(X0,sK9(X0,X1)) )
& ( icext(X1,sK9(X0,X1))
| icext(X0,sK9(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f620]) ).
fof(f631,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,uri_ex_e,X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,X0) ),
inference(cnf_transformation,[],[f571]) ).
fof(f647,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| X4 = X6
| ~ icext(X0,X6)
| X2 = X6
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f608]) ).
fof(f648,plain,
! [X2,X3,X0,X1,X6,X4] :
( icext(X0,X6)
| X4 != X6
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f608]) ).
fof(f649,plain,
! [X2,X3,X0,X1,X6,X4] :
( icext(X0,X6)
| X2 != X6
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f608]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ ic(X0)
| sK3(X0,X2,X4) = X2
| sK3(X0,X2,X4) = X4
| icext(X0,sK3(X0,X2,X4))
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f608]) ).
fof(f652,plain,
! [X2,X3,X0,X1,X4] :
( sK3(X0,X2,X4) != X4
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,sK3(X0,X2,X4))
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f608]) ).
fof(f653,plain,
! [X2,X3,X0,X1,X4] :
( sK3(X0,X2,X4) != X2
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,sK3(X0,X2,X4))
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f608]) ).
fof(f665,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f617]) ).
fof(f666,plain,
iext(uri_rdf_first,sK7,uri_ex_y),
inference(cnf_transformation,[],[f617]) ).
fof(f667,plain,
iext(uri_rdf_rest,sK8,sK7),
inference(cnf_transformation,[],[f617]) ).
fof(f668,plain,
iext(uri_rdf_first,sK8,uri_ex_x),
inference(cnf_transformation,[],[f617]) ).
fof(f669,plain,
iext(uri_owl_equivalentClass,uri_ex_e,sK6),
inference(cnf_transformation,[],[f617]) ).
fof(f670,plain,
iext(uri_owl_oneOf,sK6,sK8),
inference(cnf_transformation,[],[f617]) ).
fof(f679,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f621]) ).
fof(f680,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f621]) ).
fof(f687,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f589]) ).
fof(f708,plain,
! [X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X6)
| ~ iext(uri_rdf_first,X1,X6)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(equality_resolution,[],[f649]) ).
fof(f709,plain,
! [X2,X3,X0,X1,X6] :
( ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X6)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X6)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(equality_resolution,[],[f648]) ).
fof(f725,plain,
ic(uri_ex_e),
inference(resolution,[],[f687,f669]) ).
fof(f774,plain,
! [X0] :
( ~ icext(uri_ex_e,X0)
| icext(sK6,X0) ),
inference(resolution,[],[f679,f669]) ).
fof(f775,plain,
! [X0] :
( ~ icext(sK6,X0)
| icext(uri_ex_e,X0) ),
inference(resolution,[],[f680,f669]) ).
fof(f829,definition,
( spl14_12
<=> ! [X0] : ~ iext(uri_rdf_first,sK8,X0) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f830,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK8,X0)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f987,plain,
! [X2,X0,X1] :
( icext(sK6,X0)
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_rdf_rest,sK8,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(resolution,[],[f708,f670]) ).
fof(f1002,definition,
( spl14_17
<=> ! [X2,X1] :
( ~ iext(uri_rdf_rest,sK8,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition]) ).
fof(f1003,plain,
( ! [X2,X1] :
( ~ iext(uri_rdf_rest,sK8,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1009,definition,
( spl14_18
<=> ! [X0] :
( icext(sK6,X0)
| ~ iext(uri_rdf_first,sK8,X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition]) ).
fof(f1010,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK8,X0)
| icext(sK6,X0) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1011,plain,
( spl14_17
| spl14_18 ),
inference(avatar_split_clause,[],[f987,f1009,f1002]) ).
fof(f1024,plain,
! [X2,X0,X1] :
( icext(sK6,X0)
| ~ iext(uri_rdf_first,sK8,X1)
| ~ iext(uri_rdf_rest,sK8,X2)
| ~ iext(uri_rdf_first,X2,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(resolution,[],[f709,f670]) ).
fof(f1047,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK8,X3)
| ~ icext(sK6,X1)
| X1 = X2
| ~ iext(uri_rdf_first,sK8,X2)
| X0 = X1
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f647,f670]) ).
fof(f1118,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X3,sK7)
| sK3(X0,X1,X2) = X1
| sK3(X0,X1,X2) = X2
| icext(X0,sK3(X0,X1,X2))
| ~ iext(uri_rdf_first,X3,X1)
| ~ ic(X0)
| ~ iext(uri_rdf_first,sK7,X2)
| iext(uri_owl_oneOf,X0,X3) ),
inference(resolution,[],[f651,f665]) ).
fof(f1195,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK7,X0) )
| ~ spl14_17 ),
inference(resolution,[],[f1003,f667]) ).
fof(f1196,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK7,X0)
| ~ spl14_17 ),
inference(forward_subsumption_resolution,[],[f1195,f665]) ).
fof(f1197,plain,
( $false
| ~ spl14_17 ),
inference(resolution,[],[f1196,f666]) ).
fof(f1198,plain,
~ spl14_17,
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1199,plain,
( $false
| ~ spl14_12 ),
inference(resolution,[],[f830,f668]) ).
fof(f1200,plain,
~ spl14_12,
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1211,definition,
( spl14_26
<=> ! [X2,X0] :
( icext(sK6,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,X2)
| ~ iext(uri_rdf_first,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
fof(f1212,plain,
( ! [X2,X0] :
( ~ iext(uri_rdf_rest,sK8,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| icext(sK6,X0)
| ~ iext(uri_rdf_first,X2,X0) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1213,plain,
( spl14_12
| spl14_26 ),
inference(avatar_split_clause,[],[f1024,f1211,f829]) ).
fof(f1223,plain,
( icext(sK6,uri_ex_x)
| ~ spl14_18 ),
inference(resolution,[],[f1010,f668]) ).
fof(f1224,plain,
( icext(uri_ex_e,uri_ex_x)
| ~ spl14_18 ),
inference(resolution,[],[f1223,f775]) ).
fof(f1240,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| icext(sK6,X0)
| ~ iext(uri_rdf_first,sK7,X0) )
| ~ spl14_26 ),
inference(resolution,[],[f1212,f667]) ).
fof(f1241,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK7,X0)
| icext(sK6,X0) )
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f1240,f665]) ).
fof(f1472,plain,
! [X2,X0,X1] :
( ~ icext(sK6,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK8,X1)
| X0 = X2
| ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
inference(resolution,[],[f1047,f667]) ).
fof(f1473,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK8,X1)
| X0 = X1
| ~ icext(sK6,X0)
| X0 = X2
| ~ iext(uri_rdf_first,sK7,X2) ),
inference(forward_subsumption_resolution,[],[f1472,f665]) ).
fof(f1499,plain,
( icext(sK6,uri_ex_y)
| ~ spl14_26 ),
inference(resolution,[],[f1241,f666]) ).
fof(f1500,plain,
( icext(uri_ex_e,uri_ex_y)
| ~ spl14_26 ),
inference(resolution,[],[f1499,f775]) ).
fof(f1515,plain,
! [X2,X0,X1] :
( icext(X0,sK3(X0,X1,X2))
| sK3(X0,X1,X2) = X2
| sK3(X0,X1,X2) = X1
| ~ iext(uri_rdf_first,sK8,X1)
| ~ ic(X0)
| ~ iext(uri_rdf_first,sK7,X2)
| iext(uri_owl_oneOf,X0,sK8) ),
inference(resolution,[],[f1118,f667]) ).
fof(f2398,plain,
! [X0,X1] :
( sK3(uri_ex_e,X0,X1) = X1
| sK3(uri_ex_e,X0,X1) = X0
| ~ iext(uri_rdf_first,sK8,X0)
| ~ ic(uri_ex_e)
| ~ iext(uri_rdf_first,sK7,X1)
| iext(uri_owl_oneOf,uri_ex_e,sK8)
| icext(sK6,sK3(uri_ex_e,X0,X1)) ),
inference(resolution,[],[f1515,f774]) ).
fof(f2409,plain,
! [X0,X1] :
( sK3(uri_ex_e,X0,X1) = X1
| sK3(uri_ex_e,X0,X1) = X0
| ~ iext(uri_rdf_first,sK8,X0)
| ~ ic(uri_ex_e)
| ~ iext(uri_rdf_first,sK7,X1)
| iext(uri_owl_oneOf,uri_ex_e,sK8) ),
inference(forward_subsumption_resolution,[],[f2398,f1473]) ).
fof(f2412,plain,
! [X0,X1] :
( sK3(uri_ex_e,X0,X1) = X1
| sK3(uri_ex_e,X0,X1) = X0
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_rdf_first,sK7,X1)
| iext(uri_owl_oneOf,uri_ex_e,sK8) ),
inference(forward_subsumption_resolution,[],[f2409,f725]) ).
fof(f2414,definition,
( spl14_60
<=> iext(uri_owl_oneOf,uri_ex_e,sK8) ),
introduced(definition,[new_symbols(definition,[spl14_60])],[avatar_definition]) ).
fof(f2416,plain,
( iext(uri_owl_oneOf,uri_ex_e,sK8)
| ~ spl14_60 ),
inference(avatar_component_clause,[],[f2414]) ).
fof(f2418,definition,
( spl14_61
<=> ! [X0,X1] :
( sK3(uri_ex_e,X0,X1) = X1
| ~ iext(uri_rdf_first,sK7,X1)
| ~ iext(uri_rdf_first,sK8,X0)
| sK3(uri_ex_e,X0,X1) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl14_61])],[avatar_definition]) ).
fof(f2419,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_rdf_first,sK7,X1)
| sK3(uri_ex_e,X0,X1) = X1
| sK3(uri_ex_e,X0,X1) = X0 )
| ~ spl14_61 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2420,plain,
( spl14_60
| spl14_61 ),
inference(avatar_split_clause,[],[f2412,f2418,f2414]) ).
fof(f3018,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK7,X0)
| sK3(uri_ex_e,uri_ex_x,X0) = X0
| uri_ex_x = sK3(uri_ex_e,uri_ex_x,X0) )
| ~ spl14_61 ),
inference(resolution,[],[f2419,f668]) ).
fof(f3799,plain,
( uri_ex_y = sK3(uri_ex_e,uri_ex_x,uri_ex_y)
| uri_ex_x = sK3(uri_ex_e,uri_ex_x,uri_ex_y)
| ~ spl14_61 ),
inference(resolution,[],[f3018,f666]) ).
fof(f4867,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_first,sK8,uri_ex_x)
| ~ iext(uri_rdf_rest,sK8,X0) )
| ~ spl14_60 ),
inference(resolution,[],[f2416,f631]) ).
fof(f4881,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK8,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil) )
| ~ spl14_60 ),
inference(forward_subsumption_resolution,[],[f4867,f668]) ).
fof(f4882,plain,
( ~ iext(uri_rdf_first,sK7,uri_ex_y)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ spl14_60 ),
inference(resolution,[],[f4881,f667]) ).
fof(f4883,plain,
( ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ spl14_60 ),
inference(forward_subsumption_resolution,[],[f4882,f666]) ).
fof(f4884,plain,
( $false
| ~ spl14_60 ),
inference(forward_subsumption_resolution,[],[f4883,f665]) ).
fof(f4885,plain,
~ spl14_60,
inference(avatar_contradiction_clause,[],[f4884]) ).
fof(f5160,definition,
( spl14_79
<=> uri_ex_x = sK3(uri_ex_e,uri_ex_x,uri_ex_y) ),
introduced(definition,[new_symbols(definition,[spl14_79])],[avatar_definition]) ).
fof(f5162,plain,
( uri_ex_x = sK3(uri_ex_e,uri_ex_x,uri_ex_y)
| ~ spl14_79 ),
inference(avatar_component_clause,[],[f5160]) ).
fof(f5164,definition,
( spl14_80
<=> uri_ex_y = sK3(uri_ex_e,uri_ex_x,uri_ex_y) ),
introduced(definition,[new_symbols(definition,[spl14_80])],[avatar_definition]) ).
fof(f5166,plain,
( uri_ex_y = sK3(uri_ex_e,uri_ex_x,uri_ex_y)
| ~ spl14_80 ),
inference(avatar_component_clause,[],[f5164]) ).
fof(f5167,plain,
( spl14_79
| spl14_80
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f3799,f2418,f5164,f5160]) ).
fof(f5184,plain,
( ! [X0,X1] :
( uri_ex_x != uri_ex_x
| ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_79 ),
inference(superposition,[],[f653,f5162]) ).
fof(f5186,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_79 ),
inference(trivial_inequality_removal,[],[f5184]) ).
fof(f5187,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_e)
| ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_79 ),
inference(forward_subsumption_resolution,[],[f5186,f631]) ).
fof(f5188,plain,
( ! [X0,X1] :
( ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_79 ),
inference(forward_subsumption_resolution,[],[f5187,f725]) ).
fof(f5189,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x) )
| ~ spl14_18
| ~ spl14_79 ),
inference(forward_subsumption_resolution,[],[f5188,f1224]) ).
fof(f5193,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,sK7)
| ~ iext(uri_rdf_first,sK7,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x) )
| ~ spl14_18
| ~ spl14_79 ),
inference(resolution,[],[f5189,f665]) ).
fof(f5194,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,sK7)
| ~ iext(uri_rdf_first,X0,uri_ex_x) )
| ~ spl14_18
| ~ spl14_79 ),
inference(forward_subsumption_resolution,[],[f5193,f666]) ).
fof(f5200,plain,
( ~ iext(uri_rdf_first,sK8,uri_ex_x)
| ~ spl14_18
| ~ spl14_79 ),
inference(resolution,[],[f5194,f667]) ).
fof(f5201,plain,
( $false
| ~ spl14_18
| ~ spl14_79 ),
inference(forward_subsumption_resolution,[],[f5200,f668]) ).
fof(f5202,plain,
( ~ spl14_18
| ~ spl14_79 ),
inference(avatar_contradiction_clause,[],[f5201]) ).
fof(f5243,plain,
( ! [X0,X1] :
( uri_ex_y != uri_ex_y
| ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_80 ),
inference(superposition,[],[f652,f5166]) ).
fof(f5244,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_e)
| iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_80 ),
inference(trivial_inequality_removal,[],[f5243]) ).
fof(f5245,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_e)
| ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_80 ),
inference(forward_subsumption_resolution,[],[f5244,f631]) ).
fof(f5246,plain,
( ! [X0,X1] :
( ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl14_80 ),
inference(forward_subsumption_resolution,[],[f5245,f725]) ).
fof(f5247,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x) )
| ~ spl14_26
| ~ spl14_80 ),
inference(forward_subsumption_resolution,[],[f5246,f1500]) ).
fof(f5281,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,sK7)
| ~ iext(uri_rdf_first,sK7,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x) )
| ~ spl14_26
| ~ spl14_80 ),
inference(resolution,[],[f5247,f665]) ).
fof(f5282,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,sK7)
| ~ iext(uri_rdf_first,X0,uri_ex_x) )
| ~ spl14_26
| ~ spl14_80 ),
inference(forward_subsumption_resolution,[],[f5281,f666]) ).
fof(f5283,plain,
( ~ iext(uri_rdf_first,sK8,uri_ex_x)
| ~ spl14_26
| ~ spl14_80 ),
inference(resolution,[],[f5282,f667]) ).
fof(f5284,plain,
( $false
| ~ spl14_26
| ~ spl14_80 ),
inference(forward_subsumption_resolution,[],[f5283,f668]) ).
fof(f5285,plain,
( ~ spl14_26
| ~ spl14_80 ),
inference(avatar_contradiction_clause,[],[f5284]) ).
cnf(s13,plain,
( spl14_17
| spl14_18 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s19,plain,
~ spl14_17,
inference(sat_conversion,[],[f1198]) ).
cnf(s20,plain,
~ spl14_12,
inference(sat_conversion,[],[f1200]) ).
cnf(s22,plain,
( spl14_12
| spl14_26 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s47,plain,
( spl14_60
| spl14_61 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s82,plain,
~ spl14_60,
inference(sat_conversion,[],[f4885]) ).
cnf(s94,plain,
( ~ spl14_61
| spl14_79
| spl14_80 ),
inference(sat_conversion,[],[f5167]) ).
cnf(s95,plain,
( ~ spl14_18
| ~ spl14_79 ),
inference(sat_conversion,[],[f5202]) ).
cnf(s96,plain,
( ~ spl14_26
| ~ spl14_80 ),
inference(sat_conversion,[],[f5285]) ).
cnf(s99,plain,
spl14_61,
inference(rat,[],[s47,s82]) ).
cnf(s102,plain,
spl14_26,
inference(rat,[],[s22,s20]) ).
cnf(s103,plain,
~ spl14_80,
inference(rat,[],[s96,s102]) ).
cnf(s105,plain,
spl14_79,
inference(rat,[],[s94,s99,s103]) ).
cnf(s106,plain,
~ spl14_18,
inference(rat,[],[s95,s105]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s13,s106,s19]) ).
fof(f5286,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB055+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n018.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 28 07:16:54 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/1.55 % (3201870)Detected formulas, will run a generic FOF schedule.
% 3.78/1.55 % (3201967)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3831758272:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.78/1.55 % (3201966)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=263407367:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.78/1.55 % (3201963)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=112713698:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.78/1.55 % (3201962)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=3345173432:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.78/1.55 % (3201965)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2304952798:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.78/1.55 % (3201964)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=2862015745:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.78/1.55 % (3201967)Instruction limit reached!
% 3.78/1.55 % (3201967)------------------------------
% 3.78/1.55 % (3201967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.55 % (3201967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.55 % (3201967)CaDiCaL version: 2.1.3
% 3.78/1.55 % (3201967)Termination reason: Instruction limit
% 3.78/1.55 % (3201967)Termination phase: Saturation
% 3.78/1.55 % (3201967)Time elapsed: 0.078 s
% 3.78/1.55 % (3201967)Peak memory usage: 91 MB
% 3.78/1.55 % (3201967)Instructions burned: 140 (million)
% 3.78/1.55 % (3201965)Refutation not found, incomplete strategy
% 3.78/1.55 % (3201965)------------------------------
% 3.78/1.55 % (3201965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.55 % (3201965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.55 % (3201965)CaDiCaL version: 2.1.3
% 3.78/1.55 % (3201965)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.55 % (3201965)Time elapsed: 0.008 s
% 3.78/1.55 % (3201965)Peak memory usage: 89 MB
% 3.78/1.55 % (3201965)Instructions burned: 6 (million)
% 3.78/1.55 % (3201968)dis-21_1_sil=8000:lcm=predicate:random_seed=874513119: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)
% 3.78/1.55 % (3201966)Instruction limit reached!
% 3.78/1.55 % (3201966)------------------------------
% 3.78/1.55 % (3201966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.55 % (3201966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.55 % (3201966)CaDiCaL version: 2.1.3
% 3.78/1.55 % (3201966)Termination reason: Instruction limit
% 3.78/1.55 % (3201966)Termination phase: Saturation
% 3.78/1.55 % (3201966)Time elapsed: 0.102 s
% 3.78/1.55 % (3201966)Peak memory usage: 88 MB
% 3.78/1.55 % (3201966)Instructions burned: 119 (million)
% 3.78/1.55 % (3201968)Instruction limit reached!
% 3.78/1.55 % (3201968)------------------------------
% 3.78/1.55 % (3201968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.55 % (3201968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.55 % (3201968)CaDiCaL version: 2.1.3
% 3.78/1.55 % (3201968)Termination reason: Instruction limit
% 3.78/1.55 % (3201968)Termination phase: Saturation
% 3.78/1.55 % (3201968)Time elapsed: 0.117 s
% 3.78/1.55 % (3201968)Peak memory usage: 91 MB
% 3.78/1.55 % (3201968)Instructions burned: 129 (million)
% 3.78/1.55 % (3202002)lrs+10_1_sil=8000:sp=occurrence:random_seed=2229817131:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.78/1.55 % (3202002)First to succeed.
% 3.78/1.55 % (3202002)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3201870"
% 3.78/1.55 % (3201965)------------------------------
% 3.78/1.55 % (3201965)------------------------------
% 3.78/1.55 % (3202010)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1705705241:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.78/1.55 % (3202010)Refutation not found, incomplete strategy
% 3.78/1.55 % (3202010)------------------------------
% 3.78/1.55 % (3202010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.55 % (3202010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.55 % (3202010)CaDiCaL version: 2.1.3
% 3.78/1.55 % (3202010)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.55 % (3202010)Time elapsed: 0.007 s
% 3.78/1.55 % (3202010)Peak memory usage: 89 MB
% 3.78/1.55 % (3202010)Instructions burned: 10 (million)
% 3.78/1.55 % (3202013)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3167402039:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.78/1.55 % (3202002)Refutation found. Thanks to Tanya!
% 3.78/1.55 % SZS status Theorem for theBenchmark
% 3.78/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.74 % (3202002)------------------------------
% 5.39/1.74 % (3202002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.74 % (3202002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.74 % (3202002)CaDiCaL version: 2.1.3
% 5.39/1.74 % (3202002)Termination reason: Refutation
% 5.39/1.74 % (3202002)Time elapsed: 0.100 s
% 5.39/1.74 % (3202002)Peak memory usage: 92 MB
% 5.39/1.74 % (3202002)Instructions burned: 204 (million)
% 5.39/1.74 % (3202002)------------------------------
% 5.39/1.74 % (3202002)------------------------------
% 5.39/1.74 % (3201870)Success in time 0.685 s
% 5.39/1.74 % Vampire exiting
%------------------------------------------------------------------------------