%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB038+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 01:00:17 PM UTC 2026
% Result : Theorem 7.95s 2.81s
% Output : Refutation 14.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 162 ( 35 unt; 10 def)
% Number of atoms : 787 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1048 ( 423 ~; 446 |; 148 &)
% ( 26 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 11 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-3 aty)
% Number of variables : 283 ( 0 sgn 267 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
fof(f217,axiom,
! [X0,X1] :
( iext(uri_owl_intersectionOf,X0,X1)
=> ( ic(X0)
& icext(uri_rdf_List,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_intersectionof_ext) ).
fof(f278,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
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(f289,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_unionOf,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_unionof_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,
iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_bool_demorgan) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2,X3,X4,X5,X6] :
( iext(uri_owl_intersectionOf,uri_ex_c2,X2)
& iext(uri_owl_complementOf,X0,uri_ex_x)
& iext(uri_rdf_first,X2,X0)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X5,uri_ex_x)
& iext(uri_rdf_rest,X5,X1)
& iext(uri_owl_complementOf,X4,uri_ex_y)
& iext(uri_owl_complementOf,uri_ex_c1,X6)
& iext(uri_rdf_first,X1,uri_ex_y)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_unionOf,X6,X5)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_bool_demorgan) ).
fof(f562,plain,
~ iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
inference(flattening,[],[f560]) ).
fof(f564,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f278]) ).
fof(f565,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f188]) ).
fof(f574,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(f575,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,[],[f574]) ).
fof(f578,plain,
! [X0,X1] :
( ( ic(X0)
& icext(uri_rdf_List,X1) )
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(ennf_transformation,[],[f217]) ).
fof(f587,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,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,[],[f289]) ).
fof(f588,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,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,[],[f587]) ).
fof(f608,plain,
( iext(uri_owl_intersectionOf,uri_ex_c2,sK2)
& iext(uri_owl_complementOf,sK0,uri_ex_x)
& iext(uri_rdf_first,sK2,sK0)
& iext(uri_rdf_rest,sK2,sK3)
& iext(uri_rdf_first,sK5,uri_ex_x)
& iext(uri_rdf_rest,sK5,sK1)
& iext(uri_owl_complementOf,sK4,uri_ex_y)
& iext(uri_owl_complementOf,uri_ex_c1,sK6)
& iext(uri_rdf_first,sK1,uri_ex_y)
& iext(uri_rdf_rest,sK1,uri_rdf_nil)
& iext(uri_owl_unionOf,sK6,sK5)
& iext(uri_rdf_first,sK3,sK4)
& iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f561]) ).
fof(f609,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(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(flattening,[],[f609]) ).
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)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f610]) ).
fof(f612,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))],[f611]) ).
fof(f613,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f564]) ).
fof(f618,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,[],[f575]) ).
fof(f619,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,[],[f618]) ).
fof(f620,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,[],[f619]) ).
fof(f621,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ( ( ~ icext(X2,sK9(X0,X2,X4))
| ~ icext(X4,sK9(X0,X2,X4))
| ~ icext(X0,sK9(X0,X2,X4)) )
& ( ( icext(X2,sK9(X0,X2,X4))
& icext(X4,sK9(X0,X2,X4)) )
| icext(X0,sK9(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,[sK9]),skolemize(X5,sK9(X0,X2,X4))],[f620]) ).
fof(f634,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,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_unionOf,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,[],[f588]) ).
fof(f635,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,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_unionOf,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,[],[f634]) ).
fof(f636,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,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_unionOf,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,[],[f635]) ).
fof(f637,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ( ( ( ~ icext(X2,sK13(X0,X2,X4))
& ~ icext(X4,sK13(X0,X2,X4)) )
| ~ icext(X0,sK13(X0,X2,X4)) )
& ( icext(X2,sK13(X0,X2,X4))
| icext(X4,sK13(X0,X2,X4))
| icext(X0,sK13(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_unionOf,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,[sK13]),skolemize(X5,sK13(X0,X2,X4))],[f636]) ).
fof(f659,plain,
~ iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f562]) ).
fof(f660,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f608]) ).
fof(f661,plain,
iext(uri_rdf_first,sK3,sK4),
inference(cnf_transformation,[],[f608]) ).
fof(f662,plain,
iext(uri_owl_unionOf,sK6,sK5),
inference(cnf_transformation,[],[f608]) ).
fof(f663,plain,
iext(uri_rdf_rest,sK1,uri_rdf_nil),
inference(cnf_transformation,[],[f608]) ).
fof(f664,plain,
iext(uri_rdf_first,sK1,uri_ex_y),
inference(cnf_transformation,[],[f608]) ).
fof(f665,plain,
iext(uri_owl_complementOf,uri_ex_c1,sK6),
inference(cnf_transformation,[],[f608]) ).
fof(f666,plain,
iext(uri_owl_complementOf,sK4,uri_ex_y),
inference(cnf_transformation,[],[f608]) ).
fof(f667,plain,
iext(uri_rdf_rest,sK5,sK1),
inference(cnf_transformation,[],[f608]) ).
fof(f668,plain,
iext(uri_rdf_first,sK5,uri_ex_x),
inference(cnf_transformation,[],[f608]) ).
fof(f669,plain,
iext(uri_rdf_rest,sK2,sK3),
inference(cnf_transformation,[],[f608]) ).
fof(f670,plain,
iext(uri_rdf_first,sK2,sK0),
inference(cnf_transformation,[],[f608]) ).
fof(f671,plain,
iext(uri_owl_complementOf,sK0,uri_ex_x),
inference(cnf_transformation,[],[f608]) ).
fof(f672,plain,
iext(uri_owl_intersectionOf,uri_ex_c2,sK2),
inference(cnf_transformation,[],[f608]) ).
fof(f677,plain,
! [X0,X1] :
( ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1)
| icext(X1,sK7(X0,X1))
| icext(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f612]) ).
fof(f678,plain,
! [X0,X1] :
( ~ icext(X1,sK7(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f612]) ).
fof(f682,plain,
! [X2,X0,X1] :
( ~ icext(X0,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[],[f613]) ).
fof(f683,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| icext(X1,X2)
| icext(X0,X2) ),
inference(cnf_transformation,[],[f613]) ).
fof(f688,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f565]) ).
fof(f704,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ icext(X0,X6)
| icext(X4,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,[],[f621]) ).
fof(f705,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ icext(X0,X6)
| icext(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,[],[f621]) ).
fof(f706,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ icext(X2,X6)
| ~ icext(X4,X6)
| icext(X0,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,[],[f621]) ).
fof(f726,plain,
! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f578]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_unionOf,X0,X1)
| icext(X4,X6)
| ~ icext(X0,X6)
| icext(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,[],[f637]) ).
fof(f743,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_unionOf,X0,X1)
| ~ icext(X4,X6)
| icext(X0,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,[],[f637]) ).
fof(f744,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_unionOf,X0,X1)
| ~ icext(X2,X6)
| icext(X0,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,[],[f637]) ).
fof(f807,plain,
ic(uri_ex_c2),
inference(resolution,[],[f726,f672]) ).
fof(f809,plain,
! [X0] :
( icext(sK6,X0)
| icext(uri_ex_c1,X0) ),
inference(resolution,[],[f683,f665]) ).
fof(f810,plain,
ic(uri_ex_c1),
inference(resolution,[],[f688,f665]) ).
fof(f814,plain,
! [X0] :
( ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_ex_c2)
| icext(uri_ex_c2,sK7(X0,uri_ex_c2))
| icext(X0,sK7(X0,uri_ex_c2)) ),
inference(resolution,[],[f677,f807]) ).
fof(f854,plain,
! [X0] :
( icext(sK0,X0)
| icext(uri_ex_x,X0) ),
inference(resolution,[],[f671,f683]) ).
fof(f863,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK2,X3)
| ~ icext(X2,X1)
| icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,sK2,X0)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f706,f672]) ).
fof(f864,plain,
! [X2,X0,X1] :
( ~ icext(X0,X1)
| icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,sK2,X2)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(resolution,[],[f863,f669]) ).
fof(f865,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,sK2,X2)
| ~ icext(X2,X1)
| ~ icext(X0,X1) ),
inference(forward_subsumption_resolution,[],[f864,f660]) ).
fof(f866,plain,
! [X0,X1] :
( ~ icext(sK4,X0)
| ~ iext(uri_rdf_first,sK2,X1)
| ~ icext(X1,X0)
| icext(uri_ex_c2,X0) ),
inference(resolution,[],[f865,f661]) ).
fof(f868,plain,
! [X0] :
( icext(sK4,X0)
| icext(uri_ex_y,X0) ),
inference(resolution,[],[f666,f683]) ).
fof(f871,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK2,X1)
| icext(uri_ex_y,X0)
| ~ icext(X1,X0)
| icext(uri_ex_c2,X0) ),
inference(resolution,[],[f868,f866]) ).
fof(f877,plain,
! [X0] :
( ~ icext(sK0,X0)
| icext(uri_ex_y,X0)
| icext(uri_ex_c2,X0) ),
inference(resolution,[],[f871,f670]) ).
fof(f878,plain,
! [X0] :
( icext(uri_ex_y,X0)
| icext(uri_ex_c2,X0)
| icext(uri_ex_x,X0) ),
inference(resolution,[],[f877,f854]) ).
fof(f884,plain,
! [X2,X3,X0,X1] :
( ~ icext(uri_ex_c2,X0)
| icext(X1,X0)
| ~ iext(uri_rdf_first,sK2,X2)
| ~ iext(uri_rdf_rest,sK2,X3)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f704,f672]) ).
fof(f886,definition,
( spl21_6
<=> ! [X2] : ~ iext(uri_rdf_first,sK2,X2) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
fof(f887,plain,
( ! [X2] : ~ iext(uri_rdf_first,sK2,X2)
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f889,definition,
( spl21_7
<=> ! [X0,X1,X3] :
( ~ icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK2,X3)
| ~ iext(uri_rdf_first,X3,X1)
| icext(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f890,plain,
( ! [X3,X0,X1] :
( ~ icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK2,X3)
| ~ iext(uri_rdf_first,X3,X1)
| icext(X1,X0) )
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( spl21_6
| spl21_7 ),
inference(avatar_split_clause,[],[f884,f889,f886]) ).
fof(f892,plain,
! [X2,X3,X0,X1] :
( ~ icext(uri_ex_c2,X0)
| icext(X1,X0)
| ~ iext(uri_rdf_first,sK2,X1)
| ~ iext(uri_rdf_rest,sK2,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(resolution,[],[f705,f672]) ).
fof(f893,plain,
! [X2,X3,X0,X1] :
( ~ icext(sK6,X1)
| icext(X0,X1)
| icext(X2,X1)
| ~ iext(uri_rdf_first,sK5,X2)
| ~ iext(uri_rdf_rest,sK5,X3)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f742,f662]) ).
fof(f894,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK5,X3)
| icext(X2,X1)
| ~ iext(uri_rdf_first,sK5,X2)
| icext(X0,X1)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| icext(uri_ex_c1,X1) ),
inference(resolution,[],[f893,f809]) ).
fof(f896,plain,
( iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2)
| icext(uri_ex_c2,sK7(uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2)) ),
inference(resolution,[],[f814,f810]) ).
fof(f898,plain,
( icext(uri_ex_c2,sK7(uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2)) ),
inference(forward_subsumption_resolution,[],[f896,f659]) ).
fof(f907,definition,
( spl21_10
<=> icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2)) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f908,plain,
( icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,definition,
( spl21_11
<=> icext(uri_ex_c2,sK7(uri_ex_c1,uri_ex_c2)) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f911,plain,
( icext(uri_ex_c2,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f912,plain,
( spl21_10
| spl21_11 ),
inference(avatar_split_clause,[],[f898,f910,f907]) ).
fof(f915,plain,
( ! [X0] :
( ~ iext(uri_owl_complementOf,uri_ex_c1,X0)
| ~ icext(X0,sK7(uri_ex_c1,uri_ex_c2)) )
| ~ spl21_10 ),
inference(resolution,[],[f908,f682]) ).
fof(f920,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X1)
| icext(sK6,X1)
| ~ iext(uri_rdf_first,sK5,X2)
| ~ iext(uri_rdf_rest,sK5,X3)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f743,f662]) ).
fof(f922,definition,
( spl21_12
<=> ! [X2] : ~ iext(uri_rdf_first,sK5,X2) ),
introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).
fof(f923,plain,
( ! [X2] : ~ iext(uri_rdf_first,sK5,X2)
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f925,definition,
( spl21_13
<=> ! [X0,X1,X3] :
( ~ icext(X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK5,X3)
| ~ iext(uri_rdf_first,X3,X0)
| icext(sK6,X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_13])],[avatar_definition]) ).
fof(f926,plain,
( ! [X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK5,X3)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,X3,X0)
| icext(sK6,X1) )
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f927,plain,
( spl21_12
| spl21_13 ),
inference(avatar_split_clause,[],[f920,f925,f922]) ).
fof(f928,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X1)
| icext(sK6,X1)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_rest,sK5,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(resolution,[],[f744,f662]) ).
fof(f942,plain,
( $false
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f923,f668]) ).
fof(f945,plain,
~ spl21_12,
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f947,definition,
( spl21_17
<=> ! [X2,X3] :
( ~ iext(uri_rdf_rest,sK5,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl21_17])],[avatar_definition]) ).
fof(f948,plain,
( ! [X2,X3] :
( ~ iext(uri_rdf_rest,sK5,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3) )
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f950,definition,
( spl21_18
<=> ! [X0,X1] :
( ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK5,X0)
| icext(sK6,X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_18])],[avatar_definition]) ).
fof(f951,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| ~ icext(X0,X1)
| icext(sK6,X1) )
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f952,plain,
( spl21_17
| spl21_18 ),
inference(avatar_split_clause,[],[f928,f950,f947]) ).
fof(f953,plain,
( $false
| ~ spl21_17 ),
inference(unit_resulting_resolution,[],[f948,f664,f663,f667]) ).
fof(f955,plain,
~ spl21_17,
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f957,plain,
( ! [X0] :
( ~ icext(uri_ex_x,X0)
| icext(sK6,X0) )
| ~ spl21_18 ),
inference(resolution,[],[f951,f668]) ).
fof(f960,plain,
( $false
| ~ spl21_6 ),
inference(unit_resulting_resolution,[],[f887,f670]) ).
fof(f963,plain,
~ spl21_6,
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f965,definition,
( spl21_19
<=> ! [X2,X3] :
( ~ iext(uri_rdf_rest,sK2,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl21_19])],[avatar_definition]) ).
fof(f966,plain,
( ! [X2,X3] :
( ~ iext(uri_rdf_rest,sK2,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3) )
| ~ spl21_19 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f968,definition,
( spl21_20
<=> ! [X0,X1] :
( ~ icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK2,X1)
| icext(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
fof(f969,plain,
( ! [X0,X1] :
( ~ icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK2,X1)
| icext(X1,X0) )
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f970,plain,
( spl21_19
| spl21_20 ),
inference(avatar_split_clause,[],[f892,f968,f965]) ).
fof(f971,plain,
( $false
| ~ spl21_19 ),
inference(unit_resulting_resolution,[],[f966,f661,f660,f669]) ).
fof(f973,plain,
~ spl21_19,
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,sK1,uri_rdf_nil)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK1,X0)
| icext(sK6,X1) )
| ~ spl21_13 ),
inference(resolution,[],[f926,f667]) ).
fof(f987,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK1,X0)
| ~ icext(X0,X1)
| icext(sK6,X1) )
| ~ spl21_13 ),
inference(forward_subsumption_resolution,[],[f986,f663]) ).
fof(f988,plain,
( ! [X0] :
( ~ icext(uri_ex_y,X0)
| icext(sK6,X0) )
| ~ spl21_13 ),
inference(resolution,[],[f987,f664]) ).
fof(f989,plain,
( ! [X0] :
( icext(sK6,X0)
| icext(uri_ex_c2,X0)
| icext(uri_ex_x,X0) )
| ~ spl21_13 ),
inference(resolution,[],[f988,f878]) ).
fof(f990,plain,
( ! [X0] :
( icext(sK6,X0)
| icext(uri_ex_c2,X0) )
| ~ spl21_13
| ~ spl21_18 ),
inference(forward_subsumption_resolution,[],[f989,f957]) ).
fof(f1295,plain,
! [X2,X0,X1] :
( icext(X0,X1)
| ~ iext(uri_rdf_first,sK5,X0)
| icext(X2,X1)
| ~ iext(uri_rdf_first,sK1,X2)
| ~ iext(uri_rdf_rest,sK1,uri_rdf_nil)
| icext(uri_ex_c1,X1) ),
inference(resolution,[],[f894,f667]) ).
fof(f1296,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| icext(X0,X1)
| icext(X2,X1)
| ~ iext(uri_rdf_first,sK1,X2)
| icext(uri_ex_c1,X1) ),
inference(forward_subsumption_resolution,[],[f1295,f663]) ).
fof(f1297,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK1,X1)
| icext(X1,X0)
| icext(uri_ex_x,X0)
| icext(uri_ex_c1,X0) ),
inference(resolution,[],[f1296,f668]) ).
fof(f1298,plain,
! [X0] :
( icext(uri_ex_y,X0)
| icext(uri_ex_x,X0)
| icext(uri_ex_c1,X0) ),
inference(resolution,[],[f1297,f664]) ).
fof(f1604,plain,
( ~ icext(sK6,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_10 ),
inference(resolution,[],[f915,f665]) ).
fof(f1605,plain,
( icext(uri_ex_c2,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_10
| ~ spl21_13
| ~ spl21_18 ),
inference(resolution,[],[f1604,f990]) ).
fof(f1607,plain,
( spl21_11
| ~ spl21_10
| ~ spl21_13
| ~ spl21_18 ),
inference(avatar_split_clause,[],[f1605,f950,f925,f907,f910]) ).
fof(f1610,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK2,X0)
| icext(X0,sK7(uri_ex_c1,uri_ex_c2)) )
| ~ spl21_11
| ~ spl21_20 ),
inference(resolution,[],[f911,f969]) ).
fof(f1611,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,sK2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| icext(X1,sK7(uri_ex_c1,uri_ex_c2)) )
| ~ spl21_7
| ~ spl21_11 ),
inference(resolution,[],[f911,f890]) ).
fof(f1612,plain,
( ~ ic(uri_ex_c1)
| ~ ic(uri_ex_c2)
| iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2)
| ~ icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_11 ),
inference(resolution,[],[f911,f678]) ).
fof(f1617,plain,
( ~ ic(uri_ex_c2)
| iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2)
| ~ icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f1612,f810]) ).
fof(f1618,plain,
( iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2)
| ~ icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f1617,f807]) ).
fof(f1619,plain,
( ~ icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f1618,f659]) ).
fof(f1626,plain,
( icext(sK0,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_11
| ~ spl21_20 ),
inference(resolution,[],[f1610,f670]) ).
fof(f1630,plain,
( ! [X0] :
( ~ iext(uri_owl_complementOf,sK0,X0)
| ~ icext(X0,sK7(uri_ex_c1,uri_ex_c2)) )
| ~ spl21_11
| ~ spl21_20 ),
inference(resolution,[],[f1626,f682]) ).
fof(f1632,plain,
( ~ icext(uri_ex_x,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_11
| ~ spl21_20 ),
inference(resolution,[],[f1630,f671]) ).
fof(f1648,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK3,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK3,X0)
| icext(X0,sK7(uri_ex_c1,uri_ex_c2)) )
| ~ spl21_7
| ~ spl21_11 ),
inference(resolution,[],[f1611,f669]) ).
fof(f1649,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(X0,sK7(uri_ex_c1,uri_ex_c2)) )
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f1648,f660]) ).
fof(f1650,plain,
( icext(sK4,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_7
| ~ spl21_11 ),
inference(resolution,[],[f1649,f661]) ).
fof(f1654,plain,
( ! [X0] :
( ~ iext(uri_owl_complementOf,sK4,X0)
| ~ icext(X0,sK7(uri_ex_c1,uri_ex_c2)) )
| ~ spl21_7
| ~ spl21_11 ),
inference(resolution,[],[f1650,f682]) ).
fof(f1657,plain,
( ~ icext(uri_ex_y,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_7
| ~ spl21_11 ),
inference(resolution,[],[f1654,f666]) ).
fof(f1662,plain,
( icext(uri_ex_x,sK7(uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_7
| ~ spl21_11 ),
inference(resolution,[],[f1657,f1298]) ).
fof(f1668,plain,
( icext(uri_ex_c1,sK7(uri_ex_c1,uri_ex_c2))
| ~ spl21_7
| ~ spl21_11
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f1662,f1632]) ).
fof(f1669,plain,
( $false
| ~ spl21_7
| ~ spl21_11
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f1668,f1619]) ).
fof(f1670,plain,
( ~ spl21_7
| ~ spl21_11
| ~ spl21_20 ),
inference(avatar_contradiction_clause,[],[f1669]) ).
cnf(s3,plain,
( spl21_6
| spl21_7 ),
inference(sat_conversion,[],[f891]) ).
cnf(s5,plain,
( spl21_10
| spl21_11 ),
inference(sat_conversion,[],[f912]) ).
cnf(s6,plain,
( spl21_12
| spl21_13 ),
inference(sat_conversion,[],[f927]) ).
cnf(s9,plain,
~ spl21_12,
inference(sat_conversion,[],[f945]) ).
cnf(s10,plain,
( spl21_17
| spl21_18 ),
inference(sat_conversion,[],[f952]) ).
cnf(s11,plain,
~ spl21_17,
inference(sat_conversion,[],[f955]) ).
cnf(s13,plain,
~ spl21_6,
inference(sat_conversion,[],[f963]) ).
cnf(s14,plain,
( spl21_19
| spl21_20 ),
inference(sat_conversion,[],[f970]) ).
cnf(s15,plain,
~ spl21_19,
inference(sat_conversion,[],[f973]) ).
cnf(s72,plain,
( ~ spl21_10
| spl21_11
| ~ spl21_13
| ~ spl21_18 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s84,plain,
( ~ spl21_7
| ~ spl21_11
| ~ spl21_20 ),
inference(sat_conversion,[],[f1670]) ).
cnf(s88,plain,
spl21_20,
inference(rat,[],[s14,s15]) ).
cnf(s94,plain,
spl21_18,
inference(rat,[],[s10,s11]) ).
cnf(s99,plain,
spl21_13,
inference(rat,[],[s6,s9]) ).
cnf(s100,plain,
spl21_7,
inference(rat,[],[s3,s13]) ).
cnf(s101,plain,
~ spl21_11,
inference(rat,[],[s84,s88,s100]) ).
cnf(s102,plain,
~ spl21_10,
inference(rat,[],[s72,s94,s99,s101]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s5,s101,s102]) ).
fof(f1671,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB038+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:12:54 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 7.95/2.81 % (3199181)Detected formulas, will run a generic FOF schedule.
% 7.95/2.81 % (3199288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3913377692:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.95/2.81 % (3199288)Refutation not found, incomplete strategy
% 7.95/2.81 % (3199288)------------------------------
% 7.95/2.81 % (3199288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199288)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199288)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.81 % (3199288)Time elapsed: 0.001 s
% 7.95/2.81 % (3199288)Peak memory usage: 88 MB
% 7.95/2.81 % (3199288)Instructions burned: 2 (million)
% 7.95/2.81 % (3199284)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=1942571465:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.95/2.81 % (3199285)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=983954066:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.95/2.81 % (3199289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2421409563:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.95/2.81 % (3199290)dis-21_1_sil=8000:lcm=predicate:random_seed=2225479464: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)
% 7.95/2.81 % (3199286)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=2909085777:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.95/2.81 % (3199287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1635960203:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.95/2.81 % (3199287)Refutation not found, incomplete strategy
% 7.95/2.81 % (3199287)------------------------------
% 7.95/2.81 % (3199287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199287)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199287)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.81 % (3199287)Time elapsed: 0.002 s
% 7.95/2.81 % (3199287)Peak memory usage: 88 MB
% 7.95/2.81 % (3199287)Instructions burned: 2 (million)
% 7.95/2.81 % (3199290)Instruction limit reached!
% 7.95/2.81 % (3199290)------------------------------
% 7.95/2.81 % (3199290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199290)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199290)Termination reason: Instruction limit
% 7.95/2.81 % (3199290)Termination phase: Saturation
% 7.95/2.81 % (3199290)Time elapsed: 0.097 s
% 7.95/2.81 % (3199290)Peak memory usage: 91 MB
% 7.95/2.81 % (3199290)Instructions burned: 130 (million)
% 7.95/2.81 % (3199289)Instruction limit reached!
% 7.95/2.81 % (3199289)------------------------------
% 7.95/2.81 % (3199289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199289)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199289)Termination reason: Instruction limit
% 7.95/2.81 % (3199289)Termination phase: Saturation
% 7.95/2.81 % (3199289)Time elapsed: 0.112 s
% 7.95/2.81 % (3199289)Peak memory usage: 90 MB
% 7.95/2.81 % (3199289)Instructions burned: 139 (million)
% 7.95/2.81 % (3199288)------------------------------
% 7.95/2.81 % (3199288)------------------------------
% 7.95/2.81 % (3199287)------------------------------
% 7.95/2.81 % (3199287)------------------------------
% 7.95/2.81 % (3199325)lrs+10_1_sil=8000:sp=occurrence:random_seed=3551854592:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.95/2.81 % (3199331)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2144847210:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.95/2.81 % (3199331)Refutation not found, incomplete strategy
% 7.95/2.81 % (3199331)------------------------------
% 7.95/2.81 % (3199331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199331)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199331)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.81 % (3199331)Time elapsed: 0.003 s
% 7.95/2.81 % (3199331)Peak memory usage: 89 MB
% 7.95/2.81 % (3199331)Instructions burned: 3 (million)
% 7.95/2.81 % (3199327)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2696413171:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.95/2.81 % (3199327)Refutation not found, incomplete strategy
% 7.95/2.81 % (3199327)------------------------------
% 7.95/2.81 % (3199327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199327)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199327)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.81 % (3199327)Time elapsed: 0.007 s
% 7.95/2.81 % (3199327)Peak memory usage: 89 MB
% 7.95/2.81 % (3199327)Instructions burned: 6 (million)
% 7.95/2.81 % (3199331)------------------------------
% 7.95/2.81 % (3199331)------------------------------
% 7.95/2.81 % (3199338)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=394330427:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 7.95/2.81 % (3199325)Instruction limit reached!
% 7.95/2.81 % (3199325)------------------------------
% 7.95/2.81 % (3199325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199325)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199325)Termination reason: Instruction limit
% 7.95/2.81 % (3199325)Termination phase: Saturation
% 7.95/2.81 % (3199325)Time elapsed: 0.273 s
% 7.95/2.81 % (3199325)Peak memory usage: 91 MB
% 7.95/2.81 % (3199325)Instructions burned: 286 (million)
% 7.95/2.81 % (3199327)------------------------------
% 7.95/2.81 % (3199327)------------------------------
% 7.95/2.81 % (3199346)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1721984548:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 7.95/2.81 % (3199338)Instruction limit reached!
% 7.95/2.81 % (3199338)------------------------------
% 7.95/2.81 % (3199338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199338)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199338)Termination reason: Instruction limit
% 7.95/2.81 % (3199338)Termination phase: Saturation
% 7.95/2.81 % (3199338)Time elapsed: 0.209 s
% 7.95/2.81 % (3199338)Peak memory usage: 90 MB
% 7.95/2.81 % (3199338)Instructions burned: 248 (million)
% 7.95/2.81 % (3199346)Refutation not found, incomplete strategy
% 7.95/2.81 % (3199346)------------------------------
% 7.95/2.81 % (3199346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199346)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199346)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.81 % (3199346)Time elapsed: 0.005 s
% 7.95/2.81 % (3199346)Peak memory usage: 89 MB
% 7.95/2.81 % (3199346)Instructions burned: 8 (million)
% 7.95/2.81 % (3199350)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=688590784:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 7.95/2.81 % (3199346)------------------------------
% 7.95/2.81 % (3199346)------------------------------
% 7.95/2.81 % (3199351)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2821329629:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 7.95/2.81 % (3199353)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1743928345:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 7.95/2.81 % (3199351)Instruction limit reached!
% 7.95/2.81 % (3199351)------------------------------
% 7.95/2.81 % (3199351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199351)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199351)Termination reason: Instruction limit
% 7.95/2.81 % (3199351)Termination phase: Saturation
% 7.95/2.81 % (3199351)Time elapsed: 0.117 s
% 7.95/2.81 % (3199351)Peak memory usage: 89 MB
% 7.95/2.81 % (3199351)Instructions burned: 113 (million)
% 7.95/2.81 % (3199353)Instruction limit reached!
% 7.95/2.81 % (3199353)------------------------------
% 7.95/2.81 % (3199353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199353)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199353)Termination reason: Instruction limit
% 7.95/2.81 % (3199353)Termination phase: Saturation
% 7.95/2.81 % (3199353)Time elapsed: 0.113 s
% 7.95/2.81 % (3199353)Peak memory usage: 90 MB
% 7.95/2.81 % (3199353)Instructions burned: 127 (million)
% 7.95/2.81 % (3199285)First to succeed.
% 7.95/2.81 % (3199285)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3199181"
% 7.95/2.81 % (3199360)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2875347178:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 7.95/2.81 % (3199360)Instruction limit reached!
% 7.95/2.81 % (3199360)------------------------------
% 7.95/2.81 % (3199360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199360)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199360)Termination reason: Instruction limit
% 7.95/2.81 % (3199360)Termination phase: Saturation
% 7.95/2.81 % (3199360)Time elapsed: 0.091 s
% 7.95/2.81 % (3199360)Peak memory usage: 89 MB
% 7.95/2.81 % (3199360)Instructions burned: 114 (million)
% 7.95/2.81 % (3199284)Also succeeded, but the first one will report.
% 7.95/2.81 % (3199365)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3437705905:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 7.95/2.81 % (3199364)lrs+10_1_sil=8000:sp=occurrence:random_seed=2798917851:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 7.95/2.81 % (3199365)Refutation not found, incomplete strategy
% 7.95/2.81 % (3199365)------------------------------
% 7.95/2.81 % (3199365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.81 % (3199365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.81 % (3199365)CaDiCaL version: 2.1.3
% 7.95/2.81 % (3199365)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.81 % (3199365)Time elapsed: 0.008 s
% 7.95/2.81 % (3199365)Peak memory usage: 88 MB
% 7.95/2.81 % (3199365)Instructions burned: 6 (million)
% 7.95/2.81 % (3199367)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=556874116:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 7.95/2.81 % (3199350)Also succeeded, but the first one will report.
% 7.95/2.81 % (3199285)Refutation found. Thanks to Tanya!
% 7.95/2.81 % SZS status Theorem for theBenchmark
% 7.95/2.81 % SZS output start Proof for theBenchmark
% See solution above
% 14.01/3.02 % (3199285)------------------------------
% 14.01/3.02 % (3199285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.02 % (3199285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.02 % (3199285)CaDiCaL version: 2.1.3
% 14.01/3.02 % (3199285)Termination reason: Refutation
% 14.01/3.02 % (3199285)Time elapsed: 1.305 s
% 14.01/3.02 % (3199285)Peak memory usage: 132 MB
% 14.01/3.02 % (3199285)Instructions burned: 1249 (million)
% 14.01/3.02 % (3199285)------------------------------
% 14.01/3.02 % (3199285)------------------------------
% 14.01/3.02 % (3199181)Success in time 1.937 s
% 14.01/3.02 % Vampire exiting
%------------------------------------------------------------------------------