TSTP Solution File: SWB022+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB022+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 : n027.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 : Sun May 5 09:46:54 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 86 ( 32 unt; 0 def)
% Number of atoms : 358 ( 0 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 382 ( 110 ~; 103 |; 154 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 201 ( 168 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,plain,
$false,
inference(subsumption_resolution,[],[f187,f150]) ).
fof(f150,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(resolution,[],[f147,f89]) ).
fof(f89,plain,
iext(sK7,uri_ex_MyOrderedCollection,sK12),
inference(resolution,[],[f87,f67]) ).
fof(f67,plain,
sP0(sK7,uri_skos_memberList),
inference(resolution,[],[f35,f48]) ).
fof(f48,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_first,sK14,uri_ex_Z)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK13,uri_ex_Y)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK12,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK12)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK11,uri_rdf_nil)
& iext(uri_rdf_first,sK11,uri_rdf_rest)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK10,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_rdf_first)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK8)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f7,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(uri_rdf_rest,X7,uri_rdf_nil)
& iext(uri_rdf_first,X7,uri_ex_Z)
& iext(uri_rdf_rest,X6,X7)
& iext(uri_rdf_first,X6,uri_ex_Y)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X5,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X5)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,uri_rdf_rest)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X3,X0)
& iext(uri_owl_propertyChainAxiom,X0,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_rdf_first)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,X0)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X1)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X0) )
=> ( iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_first,sK14,uri_ex_Z)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK13,uri_ex_Y)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK12,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK12)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK11,uri_rdf_nil)
& iext(uri_rdf_first,sK11,uri_rdf_rest)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK10,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_rdf_first)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK8)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(uri_rdf_rest,X7,uri_rdf_nil)
& iext(uri_rdf_first,X7,uri_ex_Z)
& iext(uri_rdf_rest,X6,X7)
& iext(uri_rdf_first,X6,uri_ex_Y)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X5,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X5)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,uri_rdf_rest)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X3,X0)
& iext(uri_owl_propertyChainAxiom,X0,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_rdf_first)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,X0)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X1)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
? [X11,X12,X13,X14,X15,X16,X17,X18] :
( iext(uri_rdf_rest,X18,uri_rdf_nil)
& iext(uri_rdf_first,X18,uri_ex_Z)
& iext(uri_rdf_rest,X17,X18)
& iext(uri_rdf_first,X17,uri_ex_Y)
& iext(uri_rdf_rest,X16,X17)
& iext(uri_rdf_first,X16,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X16)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_rdf_first,X15,uri_rdf_rest)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X14,X11)
& iext(uri_owl_propertyChainAxiom,X11,X14)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_rdf_first,X13,uri_rdf_first)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X12,X11)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X12)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(f35,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(definition_folding,[],[f9,f12]) ).
fof(f12,plain,
! [X1,X0] :
( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
fof(f87,plain,
! [X0] :
( ~ sP0(X0,uri_skos_memberList)
| iext(X0,uri_ex_MyOrderedCollection,sK12) ),
inference(resolution,[],[f34,f60]) ).
fof(f60,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK12),
inference(cnf_transformation,[],[f30]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( ~ iext(X1,X2,X3)
| iext(X0,X2,X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( iext(X0,X2,X3)
| ~ iext(X1,X2,X3) )
& ip(X0)
& ip(X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f147,plain,
! [X0] :
( ~ iext(sK7,X0,sK12)
| iext(uri_skos_member,X0,uri_ex_X) ),
inference(resolution,[],[f141,f61]) ).
fof(f61,plain,
iext(uri_rdf_first,sK12,uri_ex_X),
inference(cnf_transformation,[],[f30]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(sK7,X2,X0)
| iext(uri_skos_member,X2,X1) ),
inference(resolution,[],[f129,f43]) ).
fof(f43,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ sP1(X0,X1,X2)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7)
| iext(X0,X6,X8) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ~ iext(X0,sK4(X0,X1,X2),sK6(X0,X1,X2))
& iext(X1,sK5(X0,X1,X2),sK6(X0,X1,X2))
& iext(X2,sK4(X0,X1,X2),sK5(X0,X1,X2)) ) )
& ( ! [X6,X7,X8] :
( iext(X0,X6,X8)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f26,f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ iext(X0,X3,X5)
& iext(X1,X4,X5)
& iext(X2,X3,X4) )
=> ( ~ iext(X0,sK4(X0,X1,X2),sK6(X0,X1,X2))
& iext(X1,sK5(X0,X1,X2),sK6(X0,X1,X2))
& iext(X2,sK4(X0,X1,X2),sK5(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3,X4,X5] :
( ~ iext(X0,X3,X5)
& iext(X1,X4,X5)
& iext(X2,X3,X4) ) )
& ( ! [X6,X7,X8] :
( iext(X0,X6,X8)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0,X4,X2] :
( ( sP1(X0,X4,X2)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) ) )
& ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
| ~ sP1(X0,X4,X2) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X4,X2] :
( sP1(X0,X4,X2)
<=> ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f129,plain,
sP1(uri_skos_member,uri_rdf_first,sK7),
inference(resolution,[],[f127,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| sP1(X2,X1,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ sP1(X2,X1,X0)
| ~ ip(X1)
| ~ ip(X0)
| ~ ip(X2) )
& ( ( sP1(X2,X1,X0)
& ip(X1)
& ip(X0)
& ip(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2,X4,X0] :
( ( sP2(X2,X4,X0)
| ~ sP1(X0,X4,X2)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP1(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP2(X2,X4,X0) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X2,X4,X0] :
( ( sP2(X2,X4,X0)
| ~ sP1(X0,X4,X2)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP1(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP2(X2,X4,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X2,X4,X0] :
( sP2(X2,X4,X0)
<=> ( sP1(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f127,plain,
sP2(sK7,uri_rdf_first,uri_skos_member),
inference(resolution,[],[f126,f49]) ).
fof(f49,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK8),
inference(cnf_transformation,[],[f30]) ).
fof(f126,plain,
! [X0] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK8)
| sP2(sK7,uri_rdf_first,X0) ),
inference(resolution,[],[f124,f36]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ sP3(X0,X1,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X0,X3)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X3)
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X3) ) )
| ~ sP3(X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0,X4,X2,X1] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ sP2(X2,X4,X0) )
& ( sP2(X2,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ sP3(X0,X4,X2,X1) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X4,X2,X1] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> sP2(X2,X4,X0) )
| ~ sP3(X0,X4,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f124,plain,
! [X0] : sP3(X0,uri_rdf_first,sK7,sK8),
inference(resolution,[],[f123,f50]) ).
fof(f50,plain,
iext(uri_rdf_first,sK8,sK7),
inference(cnf_transformation,[],[f30]) ).
fof(f123,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK8,X1)
| sP3(X0,uri_rdf_first,X1,sK8) ),
inference(resolution,[],[f122,f51]) ).
fof(f51,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f30]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK9)
| sP3(X0,uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(resolution,[],[f109,f52]) ).
fof(f52,plain,
iext(uri_rdf_first,sK9,uri_rdf_first),
inference(cnf_transformation,[],[f30]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK9,X1)
| sP3(X0,X1,X2,X3)
| ~ iext(uri_rdf_rest,X3,sK9)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(resolution,[],[f47,f53]) ).
fof(f53,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f30]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| sP3(X0,X4,X2,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4] :
( sP3(X0,X4,X2,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,[],[f11,f16,f15,f14]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(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,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(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,[],[f6]) ).
fof(f6,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_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ( iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,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_propertyChainAxiom,X0,X4)
<=> ( ! [X8,X9,X10] :
( ( iext(X7,X9,X10)
& iext(X5,X8,X9) )
=> iext(X0,X8,X10) )
& ip(X7)
& ip(X5)
& ip(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f187,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(subsumption_resolution,[],[f185,f178]) ).
fof(f178,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(resolution,[],[f177,f148]) ).
fof(f148,plain,
! [X0] :
( ~ iext(sK7,X0,sK13)
| iext(uri_skos_member,X0,uri_ex_Y) ),
inference(resolution,[],[f141,f63]) ).
fof(f63,plain,
iext(uri_rdf_first,sK13,uri_ex_Y),
inference(cnf_transformation,[],[f30]) ).
fof(f177,plain,
iext(sK7,uri_ex_MyOrderedCollection,sK13),
inference(resolution,[],[f174,f89]) ).
fof(f174,plain,
! [X0] :
( ~ iext(sK7,X0,sK12)
| iext(sK7,X0,sK13) ),
inference(resolution,[],[f167,f62]) ).
fof(f62,plain,
iext(uri_rdf_rest,sK12,sK13),
inference(cnf_transformation,[],[f30]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(sK7,X2,X0)
| iext(sK7,X2,X1) ),
inference(resolution,[],[f159,f43]) ).
fof(f159,plain,
sP1(sK7,uri_rdf_rest,sK7),
inference(resolution,[],[f157,f41]) ).
fof(f157,plain,
sP2(sK7,uri_rdf_rest,sK7),
inference(resolution,[],[f156,f54]) ).
fof(f54,plain,
iext(uri_owl_propertyChainAxiom,sK7,sK10),
inference(cnf_transformation,[],[f30]) ).
fof(f156,plain,
! [X0] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK10)
| sP2(sK7,uri_rdf_rest,X0) ),
inference(resolution,[],[f154,f36]) ).
fof(f154,plain,
! [X0] : sP3(X0,uri_rdf_rest,sK7,sK10),
inference(resolution,[],[f153,f55]) ).
fof(f55,plain,
iext(uri_rdf_first,sK10,sK7),
inference(cnf_transformation,[],[f30]) ).
fof(f153,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK10,X1)
| sP3(X0,uri_rdf_rest,X1,sK10) ),
inference(resolution,[],[f152,f56]) ).
fof(f56,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(cnf_transformation,[],[f30]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK11)
| sP3(X0,uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(resolution,[],[f110,f57]) ).
fof(f57,plain,
iext(uri_rdf_first,sK11,uri_rdf_rest),
inference(cnf_transformation,[],[f30]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X1)
| sP3(X0,X1,X2,X3)
| ~ iext(uri_rdf_rest,X3,sK11)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(resolution,[],[f47,f58]) ).
fof(f58,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(cnf_transformation,[],[f30]) ).
fof(f185,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(resolution,[],[f183,f31]) ).
fof(f31,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
fof(f183,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(resolution,[],[f182,f149]) ).
fof(f149,plain,
! [X0] :
( ~ iext(sK7,X0,sK14)
| iext(uri_skos_member,X0,uri_ex_Z) ),
inference(resolution,[],[f141,f65]) ).
fof(f65,plain,
iext(uri_rdf_first,sK14,uri_ex_Z),
inference(cnf_transformation,[],[f30]) ).
fof(f182,plain,
iext(sK7,uri_ex_MyOrderedCollection,sK14),
inference(resolution,[],[f175,f177]) ).
fof(f175,plain,
! [X0] :
( ~ iext(sK7,X0,sK13)
| iext(sK7,X0,sK14) ),
inference(resolution,[],[f167,f64]) ).
fof(f64,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 18:42:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (19023)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (19028)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.33 % (19029)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.33 % (19025)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.33 % (19027)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.33 % (19024)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (19026)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)
% 0.11/0.34 % (19030)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (19028)First to succeed.
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (19028)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19023"
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 % (19028)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (19028)------------------------------
% 0.11/0.34 % (19028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (19028)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (19028)Memory used [KB]: 842
% 0.11/0.34 % (19028)Time elapsed: 0.007 s
% 0.11/0.34 % (19028)Instructions burned: 11 (million)
% 0.11/0.34 % (19023)Success in time 0.021 s
%------------------------------------------------------------------------------