%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB039+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 : n017.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 01:00:17 PM UTC 2026
% Result : Theorem 6.72s 2.02s
% Output : Refutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 183 ( 31 unt; 18 def)
% Number of atoms : 820 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1119 ( 482 ~; 520 |; 89 &)
% ( 26 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 19 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 260 ( 0 sgn 247 !; 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(f282,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_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_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,X1,uri_ex_x)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_y)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_intersectionOf,uri_ex_c,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_bool_intersection_ext) ).
fof(f560,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_y)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_intersectionOf,uri_ex_c,X1) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_rdf_first,X0,uri_ex_y)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_intersectionOf,X1,X2)
& iext(uri_rdf_first,X2,uri_ex_x)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_owl_equivalentClass,uri_ex_c,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_bool_intersection_ext) ).
fof(f562,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,uri_ex_c,X1) ),
inference(ennf_transformation,[],[f560]) ).
fof(f571,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ 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,[],[f282]) ).
fof(f572,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ 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,[],[f571]) ).
fof(f576,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f202]) ).
fof(f593,plain,
( iext(uri_rdf_first,sK0,uri_ex_y)
& iext(uri_rdf_rest,sK0,uri_rdf_nil)
& iext(uri_owl_intersectionOf,sK1,sK2)
& iext(uri_rdf_first,sK2,uri_ex_x)
& iext(uri_rdf_rest,sK2,sK0)
& iext(uri_owl_equivalentClass,uri_ex_c,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f561]) ).
fof(f598,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_intersectionOf,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,[],[f572]) ).
fof(f599,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_intersectionOf,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,[],[f598]) ).
fof(f600,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ~ icext(X2,X6)
| ~ icext(X4,X6) )
& ( ( icext(X2,X6)
& icext(X4,X6) )
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_intersectionOf,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,[],[f599]) ).
fof(f601,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ( ( ~ icext(X2,sK4(X0,X2,X4))
| ~ icext(X4,sK4(X0,X2,X4))
| ~ icext(X0,sK4(X0,X2,X4)) )
& ( ( icext(X2,sK4(X0,X2,X4))
& icext(X4,sK4(X0,X2,X4)) )
| icext(X0,sK4(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ~ icext(X2,X6)
| ~ icext(X4,X6) )
& ( ( icext(X2,X6)
& icext(X4,X6) )
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_intersectionOf,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,[sK4]),skolemize(X5,sK4(X0,X2,X4))],[f600]) ).
fof(f610,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(f611,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,[],[f610]) ).
fof(f612,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,[],[f611]) ).
fof(f613,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK7(X0,X1))
| ~ icext(X0,sK7(X0,X1)) )
& ( icext(X1,sK7(X0,X1))
| icext(X0,sK7(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,[sK7]),skolemize(X2,sK7(X0,X1))],[f612]) ).
fof(f627,plain,
! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,uri_ex_c,X1)
| ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_y)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_x) ),
inference(cnf_transformation,[],[f562]) ).
fof(f628,plain,
iext(uri_owl_equivalentClass,uri_ex_c,sK1),
inference(cnf_transformation,[],[f593]) ).
fof(f629,plain,
iext(uri_rdf_rest,sK2,sK0),
inference(cnf_transformation,[],[f593]) ).
fof(f630,plain,
iext(uri_rdf_first,sK2,uri_ex_x),
inference(cnf_transformation,[],[f593]) ).
fof(f631,plain,
iext(uri_owl_intersectionOf,sK1,sK2),
inference(cnf_transformation,[],[f593]) ).
fof(f632,plain,
iext(uri_rdf_rest,sK0,uri_rdf_nil),
inference(cnf_transformation,[],[f593]) ).
fof(f633,plain,
iext(uri_rdf_first,sK0,uri_ex_y),
inference(cnf_transformation,[],[f593]) ).
fof(f649,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X0,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X4,X6) ),
inference(cnf_transformation,[],[f601]) ).
fof(f650,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X0,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X2,X6) ),
inference(cnf_transformation,[],[f601]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X2,X6)
| ~ icext(X4,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X0,X6) ),
inference(cnf_transformation,[],[f601]) ).
fof(f652,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ic(X4) ),
inference(cnf_transformation,[],[f601]) ).
fof(f653,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ic(X2) ),
inference(cnf_transformation,[],[f601]) ).
fof(f655,plain,
! [X2,X3,X0,X1,X4] :
( ~ ic(X2)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X4)
| icext(X4,sK4(X0,X2,X4))
| icext(X0,sK4(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,[],[f601]) ).
fof(f656,plain,
! [X2,X3,X0,X1,X4] :
( ~ ic(X2)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X4)
| icext(X2,sK4(X0,X2,X4))
| icext(X0,sK4(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,[],[f601]) ).
fof(f657,plain,
! [X2,X3,X0,X1,X4] :
( ~ ic(X2)
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X4)
| ~ icext(X2,sK4(X0,X2,X4))
| ~ icext(X4,sK4(X0,X2,X4))
| ~ icext(X0,sK4(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,[],[f601]) ).
fof(f672,plain,
! [X3,X0,X1] :
( ~ icext(X0,X3)
| icext(X1,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f613]) ).
fof(f673,plain,
! [X3,X0,X1] :
( ~ icext(X1,X3)
| icext(X0,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f613]) ).
fof(f680,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f576]) ).
fof(f726,plain,
ic(uri_ex_c),
inference(resolution,[],[f680,f628]) ).
fof(f753,definition,
( spl13_2
<=> ic(uri_ex_y) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f754,plain,
( ~ ic(uri_ex_y)
| spl13_2 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f785,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X4,sK0)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X0)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK0,X2)
| icext(X3,X1) ),
inference(resolution,[],[f651,f632]) ).
fof(f786,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X2,sK2)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK2,X3)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,sK0,X0)
| icext(X2,X1) ),
inference(resolution,[],[f785,f629]) ).
fof(f787,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK2,X2)
| ~ icext(X0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,sK0,X0)
| icext(sK1,X1) ),
inference(resolution,[],[f786,f631]) ).
fof(f788,plain,
! [X0,X1] :
( ~ icext(uri_ex_x,X1)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK0,X0)
| icext(sK1,X1) ),
inference(resolution,[],[f787,f630]) ).
fof(f789,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK0)
| ~ iext(uri_owl_intersectionOf,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK0,X4)
| icext(X4,X1) ),
inference(resolution,[],[f649,f632]) ).
fof(f790,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK2)
| ~ iext(uri_rdf_first,sK2,X1)
| ~ icext(X0,X2)
| ~ iext(uri_rdf_first,sK0,X3)
| icext(X3,X2) ),
inference(resolution,[],[f789,f629]) ).
fof(f792,definition,
( spl13_3
<=> ! [X1] : ~ iext(uri_rdf_first,sK2,X1) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f793,plain,
( ! [X1] : ~ iext(uri_rdf_first,sK2,X1)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f795,definition,
( spl13_4
<=> ! [X2,X0,X3] :
( ~ iext(uri_owl_intersectionOf,X0,sK2)
| ~ iext(uri_rdf_first,sK0,X3)
| icext(X3,X2)
| ~ icext(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f796,plain,
( ! [X2,X3,X0] :
( ~ iext(uri_owl_intersectionOf,X0,sK2)
| ~ iext(uri_rdf_first,sK0,X3)
| icext(X3,X2)
| ~ icext(X0,X2) )
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f790,f795,f792]) ).
fof(f798,plain,
( $false
| ~ spl13_3 ),
inference(unit_resulting_resolution,[],[f793,f630]) ).
fof(f801,plain,
~ spl13_3,
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f802,plain,
( ! [X0,X1] :
( ~ icext(sK1,X1)
| icext(X0,X1)
| ~ iext(uri_rdf_first,sK0,X0) )
| ~ spl13_4 ),
inference(resolution,[],[f796,f631]) ).
fof(f803,plain,
! [X2,X3,X0,X1,X4] :
( ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,sK0)
| ~ iext(uri_rdf_first,sK0,X4)
| icext(X3,X1) ),
inference(resolution,[],[f650,f632]) ).
fof(f805,definition,
( spl13_5
<=> ! [X4] : ~ iext(uri_rdf_first,sK0,X4) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f806,plain,
( ! [X4] : ~ iext(uri_rdf_first,sK0,X4)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,definition,
( spl13_6
<=> ! [X0,X3,X2,X1] :
( ~ icext(X0,X1)
| icext(X3,X1)
| ~ iext(uri_rdf_rest,X2,sK0)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_owl_intersectionOf,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f809,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK0)
| icext(X3,X1)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_owl_intersectionOf,X0,X2) )
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f810,plain,
( spl13_5
| spl13_6 ),
inference(avatar_split_clause,[],[f803,f808,f805]) ).
fof(f811,plain,
( $false
| ~ spl13_5 ),
inference(unit_resulting_resolution,[],[f806,f633]) ).
fof(f814,plain,
~ spl13_5,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f815,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X2,sK2)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,sK2,X0)
| icext(X0,X1) )
| ~ spl13_6 ),
inference(resolution,[],[f809,f629]) ).
fof(f816,plain,
( ! [X0,X1] :
( ~ icext(sK1,X0)
| ~ iext(uri_rdf_first,sK2,X1)
| icext(X1,X0) )
| ~ spl13_6 ),
inference(resolution,[],[f815,f631]) ).
fof(f817,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,sK0)
| ~ iext(uri_rdf_first,sK0,X3)
| ic(X2) ),
inference(resolution,[],[f653,f632]) ).
fof(f819,definition,
( spl13_7
<=> ! [X2,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ic(X2)
| ~ iext(uri_rdf_rest,X1,sK0)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f820,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK0)
| ic(X2)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( spl13_5
| spl13_7 ),
inference(avatar_split_clause,[],[f817,f819,f805]) ).
fof(f822,plain,
( ! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_intersectionOf,X1,sK2)
| ~ iext(uri_rdf_first,sK2,X0) )
| ~ spl13_7 ),
inference(resolution,[],[f820,f629]) ).
fof(f824,definition,
( spl13_8
<=> ! [X1] : ~ iext(uri_owl_intersectionOf,X1,sK2) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f825,plain,
( ! [X1] : ~ iext(uri_owl_intersectionOf,X1,sK2)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f827,definition,
( spl13_9
<=> ! [X0] :
( ic(X0)
| ~ iext(uri_rdf_first,sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f828,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK2,X0)
| ic(X0) )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f829,plain,
( spl13_8
| spl13_9
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f822,f819,f827,f824]) ).
fof(f830,plain,
( $false
| ~ spl13_8 ),
inference(unit_resulting_resolution,[],[f825,f631]) ).
fof(f833,plain,
~ spl13_8,
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f834,plain,
( ic(uri_ex_x)
| ~ spl13_9 ),
inference(resolution,[],[f828,f630]) ).
fof(f839,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X2)
| icext(X2,sK4(X0,uri_ex_x,X2))
| icext(X0,sK4(X0,uri_ex_x,X2))
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X2)
| ~ ic(X0) )
| ~ spl13_9 ),
inference(resolution,[],[f834,f655]) ).
fof(f840,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X2)
| icext(uri_ex_x,sK4(X0,uri_ex_x,X2))
| icext(X0,sK4(X0,uri_ex_x,X2))
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X2)
| ~ ic(X0) )
| ~ spl13_9 ),
inference(resolution,[],[f834,f656]) ).
fof(f841,plain,
( ! [X2,X3,X0,X1] :
( ~ icext(uri_ex_x,sK4(X0,uri_ex_x,X2))
| iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X2)
| ~ ic(X0)
| ~ icext(X2,sK4(X0,uri_ex_x,X2))
| ~ icext(X0,sK4(X0,uri_ex_x,X2))
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
| ~ spl13_9 ),
inference(resolution,[],[f834,f657]) ).
fof(f850,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK0)
| ~ ic(X2)
| icext(uri_ex_x,sK4(X0,uri_ex_x,X2))
| icext(X0,sK4(X0,uri_ex_x,X2))
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,sK0,X2)
| ~ ic(X0) )
| ~ spl13_9 ),
inference(resolution,[],[f840,f632]) ).
fof(f851,plain,
( ! [X0,X1] :
( ~ ic(X0)
| icext(uri_ex_x,sK4(X1,uri_ex_x,X0))
| icext(X1,sK4(X1,uri_ex_x,X0))
| ~ iext(uri_rdf_first,sK2,uri_ex_x)
| iext(uri_owl_intersectionOf,X1,sK2)
| ~ iext(uri_rdf_first,sK0,X0)
| ~ ic(X1) )
| ~ spl13_9 ),
inference(resolution,[],[f850,f629]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK0,X0)
| icext(uri_ex_x,sK4(X1,uri_ex_x,X0))
| icext(X1,sK4(X1,uri_ex_x,X0))
| iext(uri_owl_intersectionOf,X1,sK2)
| ~ ic(X0)
| ~ ic(X1) )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f851,f630]) ).
fof(f855,plain,
( ! [X0] :
( icext(uri_ex_x,sK4(X0,uri_ex_x,uri_ex_y))
| icext(X0,sK4(X0,uri_ex_x,uri_ex_y))
| iext(uri_owl_intersectionOf,X0,sK2)
| ~ ic(uri_ex_y)
| ~ ic(X0) )
| ~ spl13_9 ),
inference(resolution,[],[f852,f633]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK0)
| ~ ic(X2)
| icext(X2,sK4(X0,uri_ex_x,X2))
| icext(X0,sK4(X0,uri_ex_x,X2))
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,sK0,X2)
| ~ ic(X0) )
| ~ spl13_9 ),
inference(resolution,[],[f839,f632]) ).
fof(f857,plain,
( ! [X0,X1] :
( ~ ic(X0)
| icext(X0,sK4(X1,uri_ex_x,X0))
| icext(X1,sK4(X1,uri_ex_x,X0))
| ~ iext(uri_rdf_first,sK2,uri_ex_x)
| iext(uri_owl_intersectionOf,X1,sK2)
| ~ iext(uri_rdf_first,sK0,X0)
| ~ ic(X1) )
| ~ spl13_9 ),
inference(resolution,[],[f856,f629]) ).
fof(f858,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK0,X0)
| icext(X0,sK4(X1,uri_ex_x,X0))
| icext(X1,sK4(X1,uri_ex_x,X0))
| iext(uri_owl_intersectionOf,X1,sK2)
| ~ ic(X0)
| ~ ic(X1) )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f857,f630]) ).
fof(f859,plain,
( ! [X0] :
( icext(uri_ex_y,sK4(X0,uri_ex_x,uri_ex_y))
| icext(X0,sK4(X0,uri_ex_x,uri_ex_y))
| iext(uri_owl_intersectionOf,X0,sK2)
| ~ ic(uri_ex_y)
| ~ ic(X0) )
| ~ spl13_9 ),
inference(resolution,[],[f858,f633]) ).
fof(f860,plain,
( $false
| spl13_2 ),
inference(unit_resulting_resolution,[],[f652,f754,f633,f631,f630,f629,f632]) ).
fof(f861,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,sK0)
| ~ iext(uri_rdf_first,sK0,X3)
| ic(X3) ),
inference(resolution,[],[f652,f632]) ).
fof(f862,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f864,definition,
( spl13_12
<=> ! [X3] :
( ~ iext(uri_rdf_first,sK0,X3)
| ic(X3) ) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f865,plain,
( ! [X3] :
( ~ iext(uri_rdf_first,sK0,X3)
| ic(X3) )
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f867,definition,
( spl13_13
<=> ! [X2,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,sK0)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f868,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK0)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f869,plain,
( spl13_12
| spl13_13 ),
inference(avatar_split_clause,[],[f861,f867,f864]) ).
fof(f871,definition,
( spl13_14
<=> ! [X0] :
( icext(uri_ex_x,sK4(X0,uri_ex_x,uri_ex_y))
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK2)
| icext(X0,sK4(X0,uri_ex_x,uri_ex_y)) ) ),
introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).
fof(f872,plain,
( ! [X0] :
( ~ ic(X0)
| icext(uri_ex_x,sK4(X0,uri_ex_x,uri_ex_y))
| iext(uri_owl_intersectionOf,X0,sK2)
| icext(X0,sK4(X0,uri_ex_x,uri_ex_y)) )
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f873,plain,
( ~ spl13_2
| spl13_14
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f855,f827,f871,f753]) ).
fof(f875,definition,
( spl13_15
<=> ! [X0] :
( icext(uri_ex_y,sK4(X0,uri_ex_x,uri_ex_y))
| ~ ic(X0)
| iext(uri_owl_intersectionOf,X0,sK2)
| icext(X0,sK4(X0,uri_ex_x,uri_ex_y)) ) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
fof(f876,plain,
( ! [X0] :
( ~ ic(X0)
| icext(uri_ex_y,sK4(X0,uri_ex_x,uri_ex_y))
| iext(uri_owl_intersectionOf,X0,sK2)
| icext(X0,sK4(X0,uri_ex_x,uri_ex_y)) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f877,plain,
( ~ spl13_2
| spl13_15
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f859,f827,f875,f753]) ).
fof(f878,plain,
( icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| iext(uri_owl_intersectionOf,uri_ex_c,sK2)
| icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_14 ),
inference(resolution,[],[f872,f726]) ).
fof(f890,definition,
( spl13_18
<=> icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
fof(f891,plain,
( icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f893,definition,
( spl13_19
<=> iext(uri_owl_intersectionOf,uri_ex_c,sK2) ),
introduced(definition,[new_symbols(definition,[spl13_19])],[avatar_definition]) ).
fof(f894,plain,
( iext(uri_owl_intersectionOf,uri_ex_c,sK2)
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f896,definition,
( spl13_20
<=> icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
fof(f897,plain,
( icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f898,plain,
( spl13_18
| spl13_19
| spl13_20
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f878,f871,f896,f893,f890]) ).
fof(f901,plain,
( ! [X0] :
( ~ iext(uri_owl_equivalentClass,uri_ex_c,X0)
| icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
| ~ spl13_18 ),
inference(resolution,[],[f891,f672]) ).
fof(f903,plain,
( icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| iext(uri_owl_intersectionOf,uri_ex_c,sK2)
| icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_15 ),
inference(resolution,[],[f876,f726]) ).
fof(f972,plain,
( ic(uri_ex_y)
| ~ spl13_12 ),
inference(resolution,[],[f865,f633]) ).
fof(f1021,plain,
( $false
| ~ spl13_13 ),
inference(unit_resulting_resolution,[],[f868,f630,f631,f629]) ).
fof(f1024,plain,
~ spl13_13,
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1106,plain,
( icext(sK1,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_18 ),
inference(resolution,[],[f901,f628]) ).
fof(f1108,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK0,X0)
| icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
| ~ spl13_4
| ~ spl13_18 ),
inference(resolution,[],[f1106,f802]) ).
fof(f1113,plain,
( icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_4
| ~ spl13_18 ),
inference(resolution,[],[f1108,f633]) ).
fof(f1124,plain,
( ! [X0,X1] :
( iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ ic(uri_ex_y)
| ~ ic(uri_ex_c)
| ~ icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,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) )
| ~ spl13_9
| ~ spl13_20 ),
inference(resolution,[],[f897,f841]) ).
fof(f1125,plain,
( ! [X0] :
( ~ icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ iext(uri_rdf_first,sK0,X0)
| icext(sK1,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
| ~ spl13_20 ),
inference(resolution,[],[f897,f788]) ).
fof(f1131,plain,
( ! [X0,X1] :
( iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ ic(uri_ex_c)
| ~ icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,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) )
| ~ spl13_9
| ~ spl13_12
| ~ spl13_20 ),
inference(forward_subsumption_resolution,[],[f1124,f972]) ).
fof(f1132,plain,
( ! [X0,X1] :
( iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,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) )
| ~ spl13_9
| ~ spl13_12
| ~ spl13_20 ),
inference(forward_subsumption_resolution,[],[f1131,f726]) ).
fof(f1133,plain,
( ! [X0,X1] :
( iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,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) )
| ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_18
| ~ spl13_20 ),
inference(forward_subsumption_resolution,[],[f1132,f1113]) ).
fof(f1134,plain,
( ! [X0,X1] :
( iext(uri_owl_intersectionOf,uri_ex_c,X0)
| ~ 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) )
| ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_18
| ~ spl13_20 ),
inference(forward_subsumption_resolution,[],[f1133,f891]) ).
fof(f1135,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) )
| ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_18
| ~ spl13_20 ),
inference(forward_subsumption_resolution,[],[f1134,f627]) ).
fof(f1136,plain,
( $false
| ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_18
| ~ spl13_20 ),
inference(unit_resulting_resolution,[],[f1135,f630,f629,f633,f632]) ).
fof(f1138,plain,
( ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_18
| ~ spl13_20 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1141,definition,
( spl13_41
<=> icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) ),
introduced(definition,[new_symbols(definition,[spl13_41])],[avatar_definition]) ).
fof(f1142,plain,
( icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1143,plain,
( spl13_18
| spl13_19
| spl13_41
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f903,f875,f1141,f893,f890]) ).
fof(f1145,definition,
( spl13_42
<=> icext(sK1,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) ),
introduced(definition,[new_symbols(definition,[spl13_42])],[avatar_definition]) ).
fof(f1146,plain,
( icext(sK1,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1148,definition,
( spl13_43
<=> ! [X0] :
( ~ icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ iext(uri_rdf_first,sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_43])],[avatar_definition]) ).
fof(f1149,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK0,X0)
| ~ icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1150,plain,
( spl13_42
| spl13_43
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1125,f896,f1148,f1145]) ).
fof(f1155,plain,
( ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| spl13_18 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f1159,plain,
( spl13_42
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f1106,f890,f1145]) ).
fof(f1171,plain,
( $false
| ~ spl13_19 ),
inference(unit_resulting_resolution,[],[f627,f629,f632,f633,f630,f894]) ).
fof(f1178,plain,
~ spl13_19,
inference(avatar_contradiction_clause,[],[f1171]) ).
fof(f1198,plain,
( ~ icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_43 ),
inference(resolution,[],[f1149,f633]) ).
fof(f1200,plain,
( $false
| ~ spl13_41
| ~ spl13_43 ),
inference(forward_subsumption_resolution,[],[f1198,f1142]) ).
fof(f1201,plain,
( ~ spl13_41
| ~ spl13_43 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1202,plain,
( $false
| spl13_18
| ~ spl13_42 ),
inference(unit_resulting_resolution,[],[f673,f628,f1155,f1146]) ).
fof(f1203,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK2,X0)
| icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
| ~ spl13_6
| ~ spl13_42 ),
inference(resolution,[],[f1146,f816]) ).
fof(f1209,plain,
( spl13_18
| ~ spl13_42 ),
inference(avatar_contradiction_clause,[],[f1202]) ).
fof(f1217,plain,
( icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
| ~ spl13_6
| ~ spl13_42 ),
inference(resolution,[],[f1203,f630]) ).
fof(f1218,plain,
( spl13_20
| ~ spl13_6
| ~ spl13_42 ),
inference(avatar_split_clause,[],[f1217,f1145,f808,f896]) ).
cnf(s2,plain,
( spl13_3
| spl13_4 ),
inference(sat_conversion,[],[f797]) ).
cnf(s4,plain,
~ spl13_3,
inference(sat_conversion,[],[f801]) ).
cnf(s5,plain,
( spl13_5
| spl13_6 ),
inference(sat_conversion,[],[f810]) ).
cnf(s7,plain,
~ spl13_5,
inference(sat_conversion,[],[f814]) ).
cnf(s8,plain,
( spl13_5
| spl13_7 ),
inference(sat_conversion,[],[f821]) ).
cnf(s9,plain,
( ~ spl13_7
| spl13_8
| spl13_9 ),
inference(sat_conversion,[],[f829]) ).
cnf(s11,plain,
~ spl13_8,
inference(sat_conversion,[],[f833]) ).
cnf(s13,plain,
spl13_2,
inference(sat_conversion,[],[f862]) ).
cnf(s14,plain,
( spl13_12
| spl13_13 ),
inference(sat_conversion,[],[f869]) ).
cnf(s15,plain,
( ~ spl13_2
| ~ spl13_9
| spl13_14 ),
inference(sat_conversion,[],[f873]) ).
cnf(s16,plain,
( ~ spl13_2
| ~ spl13_9
| spl13_15 ),
inference(sat_conversion,[],[f877]) ).
cnf(s18,plain,
( ~ spl13_14
| spl13_18
| spl13_19
| spl13_20 ),
inference(sat_conversion,[],[f898]) ).
cnf(s29,plain,
~ spl13_13,
inference(sat_conversion,[],[f1024]) ).
cnf(s43,plain,
( ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_18
| ~ spl13_20 ),
inference(sat_conversion,[],[f1138]) ).
cnf(s44,plain,
( ~ spl13_15
| spl13_18
| spl13_19
| spl13_41 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s45,plain,
( ~ spl13_20
| spl13_42
| spl13_43 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s48,plain,
( ~ spl13_18
| spl13_42 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s49,plain,
~ spl13_19,
inference(sat_conversion,[],[f1178]) ).
cnf(s52,plain,
( ~ spl13_41
| ~ spl13_43 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s53,plain,
( spl13_18
| ~ spl13_42 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s54,plain,
( ~ spl13_6
| spl13_20
| ~ spl13_42 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s55,plain,
( ~ spl13_15
| spl13_18
| spl13_41 ),
inference(rat,[],[s44,s49]) ).
cnf(s56,plain,
( ~ spl13_14
| spl13_18
| spl13_20 ),
inference(rat,[],[s18,s49]) ).
cnf(s57,plain,
spl13_12,
inference(rat,[],[s14,s29]) ).
cnf(s58,plain,
( ~ spl13_7
| spl13_9 ),
inference(rat,[],[s9,s11]) ).
cnf(s59,plain,
spl13_7,
inference(rat,[],[s8,s7]) ).
cnf(s60,plain,
spl13_9,
inference(rat,[],[s58,s59]) ).
cnf(s61,plain,
spl13_15,
inference(rat,[],[s16,s13,s60]) ).
cnf(s62,plain,
spl13_14,
inference(rat,[],[s15,s13,s60]) ).
cnf(s63,plain,
spl13_6,
inference(rat,[],[s5,s7]) ).
cnf(s64,plain,
spl13_4,
inference(rat,[],[s2,s4]) ).
cnf(s66,plain,
spl13_18,
inference(rat,[],[s45,s52,s56,s55,s53,s62,s61]) ).
cnf(s67,plain,
spl13_42,
inference(rat,[],[s48,s66]) ).
cnf(s69,plain,
~ spl13_20,
inference(rat,[],[s43,s64,s60,s57,s66]) ).
cnf(s70,plain,
$false,
inference(rat,[],[s54,s63,s67,s69]) ).
fof(f1219,plain,
$false,
inference(avatar_sat_refutation,[],[s70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB039+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:06:06 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.72/2.02 % (3364345)Detected formulas, will run a generic FOF schedule.
% 6.72/2.02 % (3364355)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1852049264:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.72/2.02 % (3364351)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=3857222337:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.72/2.02 % (3364352)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=3228390928:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.72/2.02 % (3364350)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=2223588666:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.72/2.02 % (3364353)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1015869372:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.72/2.02 % (3364354)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4178432556:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.72/2.02 % (3364353)Refutation not found, incomplete strategy
% 6.72/2.02 % (3364353)------------------------------
% 6.72/2.02 % (3364353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364353)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364353)Termination reason: Refutation not found, incomplete strategy
% 6.72/2.02 % (3364353)Time elapsed: 0.006 s
% 6.72/2.02 % (3364353)Peak memory usage: 88 MB
% 6.72/2.02 % (3364353)Instructions burned: 9 (million)
% 6.72/2.02 % (3364356)dis-21_1_sil=8000:lcm=predicate:random_seed=1404568444: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)
% 6.72/2.02 % (3364355)Instruction limit reached!
% 6.72/2.02 % (3364355)------------------------------
% 6.72/2.02 % (3364355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364355)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364355)Termination reason: Instruction limit
% 6.72/2.02 % (3364355)Termination phase: Saturation
% 6.72/2.02 % (3364355)Time elapsed: 0.047 s
% 6.72/2.02 % (3364355)Peak memory usage: 91 MB
% 6.72/2.02 % (3364355)Instructions burned: 141 (million)
% 6.72/2.02 % (3364354)Instruction limit reached!
% 6.72/2.02 % (3364354)------------------------------
% 6.72/2.02 % (3364354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364354)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364354)Termination reason: Instruction limit
% 6.72/2.02 % (3364354)Termination phase: Saturation
% 6.72/2.02 % (3364354)Time elapsed: 0.066 s
% 6.72/2.02 % (3364354)Peak memory usage: 89 MB
% 6.72/2.02 % (3364354)Instructions burned: 120 (million)
% 6.72/2.02 % (3364356)Instruction limit reached!
% 6.72/2.02 % (3364356)------------------------------
% 6.72/2.02 % (3364356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364356)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364356)Termination reason: Instruction limit
% 6.72/2.02 % (3364356)Termination phase: Saturation
% 6.72/2.02 % (3364356)Time elapsed: 0.068 s
% 6.72/2.02 % (3364356)Peak memory usage: 91 MB
% 6.72/2.02 % (3364356)Instructions burned: 130 (million)
% 6.72/2.02 % (3364364)lrs+10_1_sil=8000:sp=occurrence:random_seed=2948979549:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.72/2.02 % (3364365)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1496441856:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.72/2.02 % (3364365)Refutation not found, incomplete strategy
% 6.72/2.02 % (3364365)------------------------------
% 6.72/2.02 % (3364365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364365)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364365)Termination reason: Refutation not found, incomplete strategy
% 6.72/2.02 % (3364365)Time elapsed: 0.007 s
% 6.72/2.02 % (3364365)Peak memory usage: 89 MB
% 6.72/2.02 % (3364365)Instructions burned: 11 (million)
% 6.72/2.02 % (3364364)Instruction limit reached!
% 6.72/2.02 % (3364364)------------------------------
% 6.72/2.02 % (3364364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364364)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364364)Termination reason: Instruction limit
% 6.72/2.02 % (3364364)Termination phase: Saturation
% 6.72/2.02 % (3364364)Time elapsed: 0.093 s
% 6.72/2.02 % (3364364)Peak memory usage: 92 MB
% 6.72/2.02 % (3364364)Instructions burned: 286 (million)
% 6.72/2.02 % (3364366)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3454257227:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.72/2.02 % (3364366)Refutation not found, incomplete strategy
% 6.72/2.02 % (3364366)------------------------------
% 6.72/2.02 % (3364366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364366)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364366)Termination reason: Refutation not found, incomplete strategy
% 6.72/2.02 % (3364366)Time elapsed: 0.008 s
% 6.72/2.02 % (3364366)Peak memory usage: 89 MB
% 6.72/2.02 % (3364366)Instructions burned: 9 (million)
% 6.72/2.02 % (3364353)------------------------------
% 6.72/2.02 % (3364353)------------------------------
% 6.72/2.02 % (3364369)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=173192121:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.72/2.02 % (3364369)Instruction limit reached!
% 6.72/2.02 % (3364369)------------------------------
% 6.72/2.02 % (3364369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364369)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364369)Termination reason: Instruction limit
% 6.72/2.02 % (3364369)Termination phase: Saturation
% 6.72/2.02 % (3364369)Time elapsed: 0.071 s
% 6.72/2.02 % (3364369)Peak memory usage: 93 MB
% 6.72/2.02 % (3364369)Instructions burned: 249 (million)
% 6.72/2.02 % (3364371)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3045696964:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.72/2.02 % (3364371)Refutation not found, incomplete strategy
% 6.72/2.02 % (3364371)------------------------------
% 6.72/2.02 % (3364371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364371)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364371)Termination reason: Refutation not found, incomplete strategy
% 6.72/2.02 % (3364371)Time elapsed: 0.008 s
% 6.72/2.02 % (3364371)Peak memory usage: 89 MB
% 6.72/2.02 % (3364371)Instructions burned: 12 (million)
% 6.72/2.02 % (3364365)------------------------------
% 6.72/2.02 % (3364365)------------------------------
% 6.72/2.02 % (3364366)------------------------------
% 6.72/2.02 % (3364366)------------------------------
% 6.72/2.02 % (3364373)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=562337430:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.72/2.02 % (3364375)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2754490523:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.72/2.02 % (3364377)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2451185075:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.72/2.02 % (3364371)------------------------------
% 6.72/2.02 % (3364371)------------------------------
% 6.72/2.02 % (3364375)Instruction limit reached!
% 6.72/2.02 % (3364375)------------------------------
% 6.72/2.02 % (3364375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364375)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364375)Termination reason: Instruction limit
% 6.72/2.02 % (3364375)Termination phase: Saturation
% 6.72/2.02 % (3364375)Time elapsed: 0.071 s
% 6.72/2.02 % (3364375)Peak memory usage: 89 MB
% 6.72/2.02 % (3364375)Instructions burned: 115 (million)
% 6.72/2.02 % (3364377)Instruction limit reached!
% 6.72/2.02 % (3364377)------------------------------
% 6.72/2.02 % (3364377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364377)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364377)Termination reason: Instruction limit
% 6.72/2.02 % (3364377)Termination phase: Saturation
% 6.72/2.02 % (3364377)Time elapsed: 0.065 s
% 6.72/2.02 % (3364377)Peak memory usage: 90 MB
% 6.72/2.02 % (3364377)Instructions burned: 128 (million)
% 6.72/2.02 % (3364351)First to succeed.
% 6.72/2.02 % (3364351)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3364345"
% 6.72/2.02 % (3364381)lrs+10_1_sil=8000:sp=occurrence:random_seed=3042967746:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.72/2.02 % (3364380)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3518516798:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.72/2.02 % (3364382)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1349987989:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.72/2.02 % (3364382)Refutation not found, incomplete strategy
% 6.72/2.02 % (3364382)------------------------------
% 6.72/2.02 % (3364382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364382)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364382)Termination reason: Refutation not found, incomplete strategy
% 6.72/2.02 % (3364382)Time elapsed: 0.004 s
% 6.72/2.02 % (3364382)Peak memory usage: 89 MB
% 6.72/2.02 % (3364382)Instructions burned: 4 (million)
% 6.72/2.02 % (3364380)Instruction limit reached!
% 6.72/2.02 % (3364380)------------------------------
% 6.72/2.02 % (3364380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/2.02 % (3364380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/2.02 % (3364380)CaDiCaL version: 2.1.3
% 6.72/2.02 % (3364380)Termination reason: Instruction limit
% 6.72/2.02 % (3364380)Termination phase: Saturation
% 6.72/2.02 % (3364380)Time elapsed: 0.060 s
% 6.72/2.02 % (3364380)Peak memory usage: 89 MB
% 6.72/2.02 % (3364380)Instructions burned: 115 (million)
% 6.72/2.02 % (3364386)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1884211069:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.72/2.02 % (3364351)Refutation found. Thanks to Tanya!
% 6.72/2.02 % SZS status Theorem for theBenchmark
% 6.72/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.67/2.22 % (3364351)------------------------------
% 8.67/2.22 % (3364351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.22 % (3364351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.22 % (3364351)CaDiCaL version: 2.1.3
% 8.67/2.22 % (3364351)Termination reason: Refutation
% 8.67/2.22 % (3364351)Time elapsed: 0.736 s
% 8.67/2.22 % (3364351)Peak memory usage: 131 MB
% 8.67/2.22 % (3364351)Instructions burned: 1085 (million)
% 8.67/2.22 % (3364351)------------------------------
% 8.67/2.22 % (3364351)------------------------------
% 8.67/2.22 % (3364345)Success in time 1.148 s
% 8.67/2.22 % Vampire exiting
%------------------------------------------------------------------------------