TSTP Solution File: SWB020+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB020+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:41:50 EDT 2024
% Result : Theorem 1.39s 0.55s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 25
% Syntax : Number of formulae : 167 ( 42 unt; 0 def)
% Number of atoms : 780 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 901 ( 288 ~; 295 |; 264 &)
% ( 40 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-4 aty)
% Number of variables : 432 ( 397 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12612,plain,
$false,
inference(subsumption_resolution,[],[f12609,f83]) ).
fof(f83,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).
fof(f12609,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(resolution,[],[f12606,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ sP2(X1,X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> sP2(X1,X0) ),
inference(definition_folding,[],[f19,f28]) ).
fof(f28,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f19,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X7] :
( iext(uri_rdfs_subClassOf,X5,X7)
<=> ( ! [X0] :
( icext(X5,X0)
=> icext(X7,X0) )
& ic(X7)
& ic(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f12606,plain,
sP2(uri_ex_c3,uri_ex_d),
inference(subsumption_resolution,[],[f12605,f153]) ).
fof(f153,plain,
ic(uri_ex_d),
inference(resolution,[],[f90,f145]) ).
fof(f145,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( iext(uri_owl_complementOf,sK17,uri_ex_c2)
& iext(uri_rdf_rest,sK22,uri_rdf_nil)
& iext(uri_rdf_first,sK22,sK17)
& iext(uri_rdf_rest,sK21,sK22)
& iext(uri_rdf_first,sK21,uri_ex_c)
& iext(uri_owl_intersectionOf,sK16,sK21)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK16)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,sK20,uri_rdf_nil)
& iext(uri_rdf_first,sK20,uri_ex_c3)
& iext(uri_rdf_rest,sK19,sK20)
& iext(uri_rdf_first,sK19,uri_ex_c2)
& iext(uri_rdf_rest,sK18,sK19)
& iext(uri_rdf_first,sK18,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20,sK21,sK22])],[f16,f81]) ).
fof(f81,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( iext(uri_owl_complementOf,X1,uri_ex_c2)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,X1)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X5,uri_ex_c)
& iext(uri_owl_intersectionOf,X0,X5)
& iext(uri_rdfs_subClassOf,uri_ex_d,X0)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,uri_ex_c3)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X3,uri_ex_c2)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,X2) )
=> ( iext(uri_owl_complementOf,sK17,uri_ex_c2)
& iext(uri_rdf_rest,sK22,uri_rdf_nil)
& iext(uri_rdf_first,sK22,sK17)
& iext(uri_rdf_rest,sK21,sK22)
& iext(uri_rdf_first,sK21,uri_ex_c)
& iext(uri_owl_intersectionOf,sK16,sK21)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK16)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,sK20,uri_rdf_nil)
& iext(uri_rdf_first,sK20,uri_ex_c3)
& iext(uri_rdf_rest,sK19,sK20)
& iext(uri_rdf_first,sK19,uri_ex_c2)
& iext(uri_rdf_rest,sK18,sK19)
& iext(uri_rdf_first,sK18,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( iext(uri_owl_complementOf,X1,uri_ex_c2)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,X1)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X5,uri_ex_c)
& iext(uri_owl_intersectionOf,X0,X5)
& iext(uri_rdfs_subClassOf,uri_ex_d,X0)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,uri_ex_c3)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X3,uri_ex_c2)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
? [X10,X11,X12,X13,X14,X15,X16] :
( iext(uri_owl_complementOf,X11,uri_ex_c2)
& iext(uri_rdf_rest,X16,uri_rdf_nil)
& iext(uri_rdf_first,X16,X11)
& iext(uri_rdf_rest,X15,X16)
& iext(uri_rdf_first,X15,uri_ex_c)
& iext(uri_owl_intersectionOf,X10,X15)
& iext(uri_rdfs_subClassOf,uri_ex_d,X10)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_rdf_first,X14,uri_ex_c3)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X13,uri_ex_c2)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X12,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).
fof(f90,plain,
! [X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( ic(X1)
& ic(X0) )
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
=> ( ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).
fof(f12605,plain,
( sP2(uri_ex_c3,uri_ex_d)
| ~ ic(uri_ex_d) ),
inference(subsumption_resolution,[],[f12593,f5992]) ).
fof(f5992,plain,
ic(uri_ex_c3),
inference(resolution,[],[f5989,f126]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( ~ sP10(X0,X1,X2,X3)
| ic(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ( sP10(X0,X1,X2,X3)
| ~ sP9(X3,X2,X1,X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3)
| ~ ic(X0) )
& ( ( sP9(X3,X2,X1,X0)
& ic(X1)
& ic(X2)
& ic(X3)
& ic(X0) )
| ~ sP10(X0,X1,X2,X3) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0,X6,X4,X2] :
( ( sP10(X0,X6,X4,X2)
| ~ sP9(X2,X4,X6,X0)
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( sP9(X2,X4,X6,X0)
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP10(X0,X6,X4,X2) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X6,X4,X2] :
( ( sP10(X0,X6,X4,X2)
| ~ sP9(X2,X4,X6,X0)
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( sP9(X2,X4,X6,X0)
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP10(X0,X6,X4,X2) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X6,X4,X2] :
( sP10(X0,X6,X4,X2)
<=> ( sP9(X2,X4,X6,X0)
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f5989,plain,
sP10(uri_ex_c,uri_ex_c3,uri_ex_c2,uri_ex_c1),
inference(resolution,[],[f5988,f138]) ).
fof(f138,plain,
iext(uri_owl_unionOf,uri_ex_c,sK18),
inference(cnf_transformation,[],[f82]) ).
fof(f5988,plain,
! [X0] :
( ~ iext(uri_owl_unionOf,X0,sK18)
| sP10(X0,uri_ex_c3,uri_ex_c2,uri_ex_c1) ),
inference(resolution,[],[f5986,f121]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP11(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_unionOf,X3,X4)
| sP10(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,X3,X4)
| ~ sP10(X3,X2,X1,X0) )
& ( sP10(X3,X2,X1,X0)
| ~ iext(uri_owl_unionOf,X3,X4) ) )
| ~ sP11(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X2,X4,X6,X0,X1] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ sP10(X0,X6,X4,X2) )
& ( sP10(X0,X6,X4,X2)
| ~ iext(uri_owl_unionOf,X0,X1) ) )
| ~ sP11(X2,X4,X6,X0,X1) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X2,X4,X6,X0,X1] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> sP10(X0,X6,X4,X2) )
| ~ sP11(X2,X4,X6,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f5986,plain,
! [X0] : sP11(uri_ex_c1,uri_ex_c2,uri_ex_c3,X0,sK18),
inference(resolution,[],[f5985,f139]) ).
fof(f139,plain,
iext(uri_rdf_first,sK18,uri_ex_c1),
inference(cnf_transformation,[],[f82]) ).
fof(f5985,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK18,X0)
| sP11(X0,uri_ex_c2,uri_ex_c3,X1,sK18) ),
inference(resolution,[],[f5984,f140]) ).
fof(f140,plain,
iext(uri_rdf_rest,sK18,sK19),
inference(cnf_transformation,[],[f82]) ).
fof(f5984,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK19)
| sP11(X0,uri_ex_c2,uri_ex_c3,X1,X2)
| ~ iext(uri_rdf_first,X2,X0) ),
inference(resolution,[],[f4604,f141]) ).
fof(f141,plain,
iext(uri_rdf_first,sK19,uri_ex_c2),
inference(cnf_transformation,[],[f82]) ).
fof(f4604,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK19,X1)
| sP11(X0,X1,uri_ex_c3,X2,X3)
| ~ iext(uri_rdf_rest,X3,sK19)
| ~ iext(uri_rdf_first,X3,X0) ),
inference(resolution,[],[f2724,f142]) ).
fof(f142,plain,
iext(uri_rdf_rest,sK19,sK20),
inference(cnf_transformation,[],[f82]) ).
fof(f2724,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X4,sK20)
| sP11(X0,X1,uri_ex_c3,X2,X3)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X3,X0) ),
inference(resolution,[],[f1669,f143]) ).
fof(f143,plain,
iext(uri_rdf_first,sK20,uri_ex_c3),
inference(cnf_transformation,[],[f82]) ).
fof(f1669,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_first,sK20,X2)
| sP11(X0,X1,X2,X3,X4)
| ~ iext(uri_rdf_rest,X5,sK20)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X4,X0) ),
inference(resolution,[],[f137,f144]) ).
fof(f144,plain,
iext(uri_rdf_rest,sK20,uri_rdf_nil),
inference(cnf_transformation,[],[f82]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| sP11(X2,X4,X6,X0,X1)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP11(X2,X4,X6,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f24,f40,f39,f38,f37]) ).
fof(f37,plain,
! [X7,X6,X4,X2] :
( sP8(X7,X6,X4,X2)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f38,plain,
! [X2,X4,X6,X0] :
( sP9(X2,X4,X6,X0)
<=> ! [X7] :
( icext(X0,X7)
<=> sP8(X7,X6,X4,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X3,X5)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_unionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X4,X5,X6,X7,X8,X9] :
( ( iext(uri_rdf_rest,X8,uri_rdf_nil)
& iext(uri_rdf_first,X8,X9)
& iext(uri_rdf_rest,X6,X8)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X4,X5) )
=> ( iext(uri_owl_unionOf,X2,X4)
<=> ( ! [X0] :
( icext(X2,X0)
<=> ( icext(X9,X0)
| icext(X7,X0)
| icext(X5,X0) ) )
& ic(X9)
& ic(X7)
& ic(X5)
& ic(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
fof(f12593,plain,
( sP2(uri_ex_c3,uri_ex_d)
| ~ ic(uri_ex_c3)
| ~ ic(uri_ex_d) ),
inference(resolution,[],[f12582,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ icext(X0,sK12(X0,X1))
| sP2(X0,X1)
| ~ ic(X0)
| ~ ic(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ~ icext(X0,sK12(X0,X1))
& icext(X1,sK12(X0,X1)) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
=> ( ~ icext(X0,sK12(X0,X1))
& icext(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f12582,plain,
icext(uri_ex_c3,sK12(uri_ex_c3,uri_ex_d)),
inference(subsumption_resolution,[],[f12543,f7092]) ).
fof(f7092,plain,
icext(uri_ex_d,sK12(uri_ex_c3,uri_ex_d)),
inference(subsumption_resolution,[],[f7089,f83]) ).
fof(f7089,plain,
( icext(uri_ex_d,sK12(uri_ex_c3,uri_ex_d))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[],[f7081,f98]) ).
fof(f7081,plain,
( sP2(uri_ex_c3,uri_ex_d)
| icext(uri_ex_d,sK12(uri_ex_c3,uri_ex_d)) ),
inference(resolution,[],[f5996,f153]) ).
fof(f5996,plain,
! [X0] :
( ~ ic(X0)
| sP2(uri_ex_c3,X0)
| icext(X0,sK12(uri_ex_c3,X0)) ),
inference(resolution,[],[f5992,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ ic(X0)
| icext(X1,sK12(X0,X1))
| sP2(X0,X1)
| ~ ic(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f12543,plain,
( icext(uri_ex_c3,sK12(uri_ex_c3,uri_ex_d))
| ~ icext(uri_ex_d,sK12(uri_ex_c3,uri_ex_d)) ),
inference(resolution,[],[f10016,f174]) ).
fof(f174,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_d,X0) ),
inference(resolution,[],[f101,f163]) ).
fof(f163,plain,
sP3(uri_ex_c1,uri_ex_d),
inference(resolution,[],[f104,f145]) ).
fof(f104,plain,
! [X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ sP3(X1,X0) )
& ( sP3(X1,X0)
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> sP3(X1,X0) ),
inference(definition_folding,[],[f20,f30]) ).
fof(f30,plain,
! [X1,X0] :
( sP3(X1,X0)
<=> ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f20,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ! [X2] :
~ ( icext(X1,X2)
& icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X5,X7] :
( iext(uri_owl_disjointWith,X5,X7)
<=> ( ! [X0] :
~ ( icext(X7,X0)
& icext(X5,X0) )
& ic(X7)
& ic(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f101,plain,
! [X3,X0,X1] :
( ~ sP3(X0,X1)
| ~ icext(X1,X3)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ( icext(X0,sK13(X0,X1))
& icext(X1,sK13(X0,X1)) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP3(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( icext(X0,X2)
& icext(X1,X2) )
=> ( icext(X0,sK13(X0,X1))
& icext(X1,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ? [X2] :
( icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP3(X1,X0) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ? [X2] :
( icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP3(X1,X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f10016,plain,
( icext(uri_ex_c1,sK12(uri_ex_c3,uri_ex_d))
| icext(uri_ex_c3,sK12(uri_ex_c3,uri_ex_d)) ),
inference(subsumption_resolution,[],[f10015,f7535]) ).
fof(f7535,plain,
~ icext(uri_ex_c2,sK12(uri_ex_c3,uri_ex_d)),
inference(resolution,[],[f7533,f167]) ).
fof(f167,plain,
! [X0] :
( ~ icext(sK17,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(resolution,[],[f87,f156]) ).
fof(f156,plain,
sP0(uri_ex_c2,sK17),
inference(resolution,[],[f155,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( sP0(X1,X0)
& ic(X1)
& ic(X0) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( sP0(X1,X0)
& ic(X1)
& ic(X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f155,plain,
sP1(sK17,uri_ex_c2),
inference(resolution,[],[f89,f152]) ).
fof(f152,plain,
iext(uri_owl_complementOf,sK17,uri_ex_c2),
inference(cnf_transformation,[],[f82]) ).
fof(f89,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(definition_folding,[],[f17,f26,f25]) ).
fof(f25,plain,
! [X1,X0] :
( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f17,plain,
! [X0,X1] :
( ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( iext(uri_owl_complementOf,X2,X3)
=> ( ! [X0] :
( icext(X2,X0)
<=> ~ icext(X3,X0) )
& ic(X3)
& ic(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1)
| ~ icext(X1,X2)
| ~ icext(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ! [X2] :
( ( icext(X1,X2)
| icext(X0,X2) )
& ( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f7533,plain,
icext(sK17,sK12(uri_ex_c3,uri_ex_d)),
inference(resolution,[],[f7154,f118]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ~ icext(X1,X0)
| ~ icext(X2,X0) )
& ( ( icext(X1,X0)
& icext(X2,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X5,X4,X2] :
( ( sP4(X5,X4,X2)
| ~ icext(X4,X5)
| ~ icext(X2,X5) )
& ( ( icext(X4,X5)
& icext(X2,X5) )
| ~ sP4(X5,X4,X2) ) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X5,X4,X2] :
( ( sP4(X5,X4,X2)
| ~ icext(X4,X5)
| ~ icext(X2,X5) )
& ( ( icext(X4,X5)
& icext(X2,X5) )
| ~ sP4(X5,X4,X2) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X5,X4,X2] :
( sP4(X5,X4,X2)
<=> ( icext(X4,X5)
& icext(X2,X5) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f7154,plain,
sP4(sK12(uri_ex_c3,uri_ex_d),sK17,uri_ex_c),
inference(resolution,[],[f7093,f2140]) ).
fof(f2140,plain,
! [X0] :
( ~ icext(sK16,X0)
| sP4(X0,sK17,uri_ex_c) ),
inference(resolution,[],[f2111,f113]) ).
fof(f113,plain,
! [X2,X0,X1,X4] :
( ~ sP5(X0,X1,X2)
| ~ icext(X2,X4)
| sP4(X4,X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ( ( ~ sP4(sK14(X0,X1,X2),X1,X0)
| ~ icext(X2,sK14(X0,X1,X2)) )
& ( sP4(sK14(X0,X1,X2),X1,X0)
| icext(X2,sK14(X0,X1,X2)) ) ) )
& ( ! [X4] :
( ( icext(X2,X4)
| ~ sP4(X4,X1,X0) )
& ( sP4(X4,X1,X0)
| ~ icext(X2,X4) ) )
| ~ sP5(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f63,f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sP4(X3,X1,X0)
| ~ icext(X2,X3) )
& ( sP4(X3,X1,X0)
| icext(X2,X3) ) )
=> ( ( ~ sP4(sK14(X0,X1,X2),X1,X0)
| ~ icext(X2,sK14(X0,X1,X2)) )
& ( sP4(sK14(X0,X1,X2),X1,X0)
| icext(X2,sK14(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ? [X3] :
( ( ~ sP4(X3,X1,X0)
| ~ icext(X2,X3) )
& ( sP4(X3,X1,X0)
| icext(X2,X3) ) ) )
& ( ! [X4] :
( ( icext(X2,X4)
| ~ sP4(X4,X1,X0) )
& ( sP4(X4,X1,X0)
| ~ icext(X2,X4) ) )
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X2,X4,X0] :
( ( sP5(X2,X4,X0)
| ? [X5] :
( ( ~ sP4(X5,X4,X2)
| ~ icext(X0,X5) )
& ( sP4(X5,X4,X2)
| icext(X0,X5) ) ) )
& ( ! [X5] :
( ( icext(X0,X5)
| ~ sP4(X5,X4,X2) )
& ( sP4(X5,X4,X2)
| ~ icext(X0,X5) ) )
| ~ sP5(X2,X4,X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X2,X4,X0] :
( sP5(X2,X4,X0)
<=> ! [X5] :
( icext(X0,X5)
<=> sP4(X5,X4,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2111,plain,
sP5(uri_ex_c,sK17,sK16),
inference(resolution,[],[f2109,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| sP5(X2,X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( sP5(X2,X1,X0)
& ic(X1)
& ic(X2)
& ic(X0) )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X0,X4,X2] :
( ( sP6(X0,X4,X2)
| ~ sP5(X2,X4,X0)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( sP5(X2,X4,X0)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP6(X0,X4,X2) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X4,X2] :
( ( sP6(X0,X4,X2)
| ~ sP5(X2,X4,X0)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0) )
& ( ( sP5(X2,X4,X0)
& ic(X4)
& ic(X2)
& ic(X0) )
| ~ sP6(X0,X4,X2) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X4,X2] :
( sP6(X0,X4,X2)
<=> ( sP5(X2,X4,X0)
& ic(X4)
& ic(X2)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2109,plain,
sP6(sK16,sK17,uri_ex_c),
inference(resolution,[],[f2108,f147]) ).
fof(f147,plain,
iext(uri_owl_intersectionOf,sK16,sK21),
inference(cnf_transformation,[],[f82]) ).
fof(f2108,plain,
! [X0] :
( ~ iext(uri_owl_intersectionOf,X0,sK21)
| sP6(X0,sK17,uri_ex_c) ),
inference(resolution,[],[f2106,f106]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ sP7(X0,X1,X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| sP6(X2,X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_intersectionOf,X2,X3)
| ~ sP6(X2,X1,X0) )
& ( sP6(X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X2,X3) ) )
| ~ sP7(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X2,X4,X0,X1] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ sP6(X0,X4,X2) )
& ( sP6(X0,X4,X2)
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ sP7(X2,X4,X0,X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X2,X4,X0,X1] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP6(X0,X4,X2) )
| ~ sP7(X2,X4,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2106,plain,
! [X0] : sP7(uri_ex_c,sK17,X0,sK21),
inference(resolution,[],[f2105,f148]) ).
fof(f148,plain,
iext(uri_rdf_first,sK21,uri_ex_c),
inference(cnf_transformation,[],[f82]) ).
fof(f2105,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK21,X0)
| sP7(X0,sK17,X1,sK21) ),
inference(resolution,[],[f2104,f149]) ).
fof(f149,plain,
iext(uri_rdf_rest,sK21,sK22),
inference(cnf_transformation,[],[f82]) ).
fof(f2104,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK22)
| sP7(X0,sK17,X1,X2)
| ~ iext(uri_rdf_first,X2,X0) ),
inference(resolution,[],[f1207,f150]) ).
fof(f150,plain,
iext(uri_rdf_first,sK22,sK17),
inference(cnf_transformation,[],[f82]) ).
fof(f1207,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK22,X1)
| sP7(X0,X1,X2,X3)
| ~ iext(uri_rdf_rest,X3,sK22)
| ~ iext(uri_rdf_first,X3,X0) ),
inference(resolution,[],[f120,f151]) ).
fof(f151,plain,
iext(uri_rdf_rest,sK22,uri_rdf_nil),
inference(cnf_transformation,[],[f82]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| sP7(X2,X4,X0,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( sP7(X2,X4,X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f22,f35,f34,f33,f32]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
& icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
& icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
& icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X4,X5,X6,X7] :
( ( iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X4,X5) )
=> ( iext(uri_owl_intersectionOf,X2,X4)
<=> ( ! [X0] :
( icext(X2,X0)
<=> ( icext(X7,X0)
& icext(X5,X0) ) )
& ic(X7)
& ic(X5)
& ic(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f7093,plain,
icext(sK16,sK12(uri_ex_c3,uri_ex_d)),
inference(resolution,[],[f7092,f173]) ).
fof(f173,plain,
! [X0] :
( ~ icext(uri_ex_d,X0)
| icext(sK16,X0) ),
inference(resolution,[],[f94,f159]) ).
fof(f159,plain,
sP2(sK16,uri_ex_d),
inference(resolution,[],[f97,f146]) ).
fof(f146,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,sK16),
inference(cnf_transformation,[],[f82]) ).
fof(f97,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f94,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f10015,plain,
( icext(uri_ex_c2,sK12(uri_ex_c3,uri_ex_d))
| icext(uri_ex_c1,sK12(uri_ex_c3,uri_ex_d))
| icext(uri_ex_c3,sK12(uri_ex_c3,uri_ex_d)) ),
inference(resolution,[],[f7599,f133]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ sP8(X0,X1,X2,X3)
| icext(X2,X0)
| icext(X3,X0)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ( sP8(X0,X1,X2,X3)
| ( ~ icext(X1,X0)
& ~ icext(X2,X0)
& ~ icext(X3,X0) ) )
& ( icext(X1,X0)
| icext(X2,X0)
| icext(X3,X0)
| ~ sP8(X0,X1,X2,X3) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X7,X6,X4,X2] :
( ( sP8(X7,X6,X4,X2)
| ( ~ icext(X6,X7)
& ~ icext(X4,X7)
& ~ icext(X2,X7) ) )
& ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7)
| ~ sP8(X7,X6,X4,X2) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X7,X6,X4,X2] :
( ( sP8(X7,X6,X4,X2)
| ( ~ icext(X6,X7)
& ~ icext(X4,X7)
& ~ icext(X2,X7) ) )
& ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7)
| ~ sP8(X7,X6,X4,X2) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f7599,plain,
sP8(sK12(uri_ex_c3,uri_ex_d),uri_ex_c3,uri_ex_c2,uri_ex_c1),
inference(resolution,[],[f7534,f6030]) ).
fof(f6030,plain,
! [X0] :
( ~ icext(uri_ex_c,X0)
| sP8(X0,uri_ex_c3,uri_ex_c2,uri_ex_c1) ),
inference(resolution,[],[f5991,f129]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP9(X0,X1,X2,X3)
| ~ icext(X3,X5)
| sP8(X5,X2,X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ( sP9(X0,X1,X2,X3)
| ( ( ~ sP8(sK15(X0,X1,X2,X3),X2,X1,X0)
| ~ icext(X3,sK15(X0,X1,X2,X3)) )
& ( sP8(sK15(X0,X1,X2,X3),X2,X1,X0)
| icext(X3,sK15(X0,X1,X2,X3)) ) ) )
& ( ! [X5] :
( ( icext(X3,X5)
| ~ sP8(X5,X2,X1,X0) )
& ( sP8(X5,X2,X1,X0)
| ~ icext(X3,X5) ) )
| ~ sP9(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ sP8(X4,X2,X1,X0)
| ~ icext(X3,X4) )
& ( sP8(X4,X2,X1,X0)
| icext(X3,X4) ) )
=> ( ( ~ sP8(sK15(X0,X1,X2,X3),X2,X1,X0)
| ~ icext(X3,sK15(X0,X1,X2,X3)) )
& ( sP8(sK15(X0,X1,X2,X3),X2,X1,X0)
| icext(X3,sK15(X0,X1,X2,X3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ( sP9(X0,X1,X2,X3)
| ? [X4] :
( ( ~ sP8(X4,X2,X1,X0)
| ~ icext(X3,X4) )
& ( sP8(X4,X2,X1,X0)
| icext(X3,X4) ) ) )
& ( ! [X5] :
( ( icext(X3,X5)
| ~ sP8(X5,X2,X1,X0) )
& ( sP8(X5,X2,X1,X0)
| ~ icext(X3,X5) ) )
| ~ sP9(X0,X1,X2,X3) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X2,X4,X6,X0] :
( ( sP9(X2,X4,X6,X0)
| ? [X7] :
( ( ~ sP8(X7,X6,X4,X2)
| ~ icext(X0,X7) )
& ( sP8(X7,X6,X4,X2)
| icext(X0,X7) ) ) )
& ( ! [X7] :
( ( icext(X0,X7)
| ~ sP8(X7,X6,X4,X2) )
& ( sP8(X7,X6,X4,X2)
| ~ icext(X0,X7) ) )
| ~ sP9(X2,X4,X6,X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f5991,plain,
sP9(uri_ex_c1,uri_ex_c2,uri_ex_c3,uri_ex_c),
inference(resolution,[],[f5989,f127]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ sP10(X0,X1,X2,X3)
| sP9(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f7534,plain,
icext(uri_ex_c,sK12(uri_ex_c3,uri_ex_d)),
inference(resolution,[],[f7154,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| icext(X2,X0) ),
inference(cnf_transformation,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB020+2 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:18:11 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.36 % (10286)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (10287)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 % (10288)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (10289)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38 % (10290)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (10291)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (10292)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (10293)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 Detected minimum model sizes of [1,1,1]
% 0.21/0.38 Detected maximum model sizes of [max,13,max]
% 0.21/0.38 Detected minimum model sizes of [1,1,1]
% 0.21/0.38 Detected maximum model sizes of [max,13,max]
% 0.21/0.38 TRYING [1,1,1]
% 0.21/0.38 TRYING [1,1,1]
% 0.21/0.38 TRYING [2,1,1]
% 0.21/0.38 TRYING [2,1,1]
% 0.21/0.38 TRYING [2,2,1]
% 0.21/0.38 TRYING [2,2,1]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [3,2,1]
% 0.21/0.39 TRYING [3,2,1]
% 0.21/0.39 TRYING [2,2,2]
% 0.21/0.39 TRYING [2,2,2]
% 0.21/0.40 TRYING [4,2,1]
% 0.21/0.40 TRYING [4,2,1]
% 0.21/0.41 TRYING [3,3,1]
% 0.21/0.41 TRYING [3,3,1]
% 0.21/0.42 TRYING [3,2,2]
% 0.21/0.42 TRYING [3,2,2]
% 0.21/0.43 TRYING [5,2,1]
% 0.21/0.43 TRYING [5,2,1]
% 0.21/0.44 TRYING [4,3,1]
% 0.21/0.44 TRYING [4,3,1]
% 0.21/0.49 TRYING [4,2,2]
% 0.21/0.49 TRYING [4]
% 0.21/0.50 TRYING [4,2,2]
% 0.21/0.50 TRYING [3,3,2]
% 0.21/0.51 TRYING [3,3,2]
% 0.21/0.53 TRYING [4]
% 0.21/0.54 TRYING [3,2,3]
% 1.39/0.55 TRYING [6,2,1]
% 1.39/0.55 % (10291)First to succeed.
% 1.39/0.55 TRYING [5,3,1]
% 1.39/0.55 % (10291)Refutation found. Thanks to Tanya!
% 1.39/0.55 % SZS status Theorem for theBenchmark
% 1.39/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.56 % (10291)------------------------------
% 1.39/0.56 % (10291)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.39/0.56 % (10291)Termination reason: Refutation
% 1.39/0.56
% 1.39/0.56 % (10291)Memory used [KB]: 2662
% 1.39/0.56 % (10291)Time elapsed: 0.178 s
% 1.39/0.56 % (10291)Instructions burned: 510 (million)
% 1.39/0.56 % (10291)------------------------------
% 1.39/0.56 % (10291)------------------------------
% 1.39/0.56 % (10286)Success in time 0.184 s
%------------------------------------------------------------------------------