TSTP Solution File: SWB022+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWB022+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Thu Aug 31 20:09:18 EDT 2023
% Result : Theorem 87.90s 12.80s
% Output : CNFRefutation 87.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 88 ( 35 unt; 0 def)
% Number of atoms : 522 ( 0 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 694 ( 260 ~; 252 |; 166 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-3 aty)
% Number of variables : 227 ( 0 sgn; 109 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f344,axiom,
! [X32,X33] :
( iext(uri_rdfs_subPropertyOf,X32,X33)
<=> ( ! [X3,X6] :
( iext(X32,X3,X6)
=> iext(X33,X3,X6) )
& ip(X33)
& ip(X32) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f389,axiom,
! [X1,X11,X32,X13,X33] :
( ( iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_rdf_first,X13,X33)
& iext(uri_rdf_rest,X11,X13)
& iext(uri_rdf_first,X11,X32) )
=> ( iext(uri_owl_propertyChainAxiom,X1,X11)
<=> ( ! [X35,X26,X27] :
( ( iext(X33,X26,X27)
& iext(X32,X35,X26) )
=> iext(X1,X35,X27) )
& ip(X33)
& ip(X32)
& ip(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f559,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(f560,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,[],[f559]) ).
fof(f561,axiom,
? [X41,X42,X43,X44,X45,X46,X47,X48] :
( iext(uri_rdf_rest,X48,uri_rdf_nil)
& iext(uri_rdf_first,X48,uri_ex_Z)
& iext(uri_rdf_rest,X47,X48)
& iext(uri_rdf_first,X47,uri_ex_Y)
& iext(uri_rdf_rest,X46,X47)
& iext(uri_rdf_first,X46,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X46)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,X45,uri_rdf_nil)
& iext(uri_rdf_first,X45,uri_rdf_rest)
& iext(uri_rdf_rest,X44,X45)
& iext(uri_rdf_first,X44,X41)
& iext(uri_owl_propertyChainAxiom,X41,X44)
& iext(uri_rdf_rest,X43,uri_rdf_nil)
& iext(uri_rdf_first,X43,uri_rdf_first)
& iext(uri_rdf_rest,X42,X43)
& iext(uri_rdf_first,X42,X41)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X42)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(f755,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f344]) ).
fof(f792,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,[],[f389]) ).
fof(f920,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,[],[f561]) ).
fof(f1140,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f755]) ).
fof(f1191,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,[],[f792]) ).
fof(f1192,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,[],[f1191]) ).
fof(f1329,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,[],[f560]) ).
fof(f1725,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f1140]) ).
fof(f1726,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f1725]) ).
fof(f1727,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f1726]) ).
fof(f1728,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
=> ( ~ iext(X1,sK168(X0,X1),sK169(X0,X1))
& iext(X0,sK168(X0,X1),sK169(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1729,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ~ iext(X1,sK168(X0,X1),sK169(X0,X1))
& iext(X0,sK168(X0,X1),sK169(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK168,sK169])],[f1727,f1728]) ).
fof(f1841,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) )
& ( ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,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(nnf_transformation,[],[f1192]) ).
fof(f1842,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) )
& ( ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,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(flattening,[],[f1841]) ).
fof(f1843,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) )
& ( ( ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,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(rectify,[],[f1842]) ).
fof(f1844,plain,
! [X0,X2,X4] :
( ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> ( ~ iext(X0,sK211(X0,X2,X4),sK213(X0,X2,X4))
& iext(X4,sK212(X0,X2,X4),sK213(X0,X2,X4))
& iext(X2,sK211(X0,X2,X4),sK212(X0,X2,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f1845,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ~ iext(X0,sK211(X0,X2,X4),sK213(X0,X2,X4))
& iext(X4,sK212(X0,X2,X4),sK213(X0,X2,X4))
& iext(X2,sK211(X0,X2,X4),sK212(X0,X2,X4)) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,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(skolemisation,[status(esa),new_symbols(skolem,[sK211,sK212,sK213])],[f1843,f1844]) ).
fof(f1920,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,sK258,uri_rdf_nil)
& iext(uri_rdf_first,sK258,uri_ex_Z)
& iext(uri_rdf_rest,sK257,sK258)
& iext(uri_rdf_first,sK257,uri_ex_Y)
& iext(uri_rdf_rest,sK256,sK257)
& iext(uri_rdf_first,sK256,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK256)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK255,uri_rdf_nil)
& iext(uri_rdf_first,sK255,uri_rdf_rest)
& iext(uri_rdf_rest,sK254,sK255)
& iext(uri_rdf_first,sK254,sK251)
& iext(uri_owl_propertyChainAxiom,sK251,sK254)
& iext(uri_rdf_rest,sK253,uri_rdf_nil)
& iext(uri_rdf_first,sK253,uri_rdf_first)
& iext(uri_rdf_rest,sK252,sK253)
& iext(uri_rdf_first,sK252,sK251)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK251) ) ),
introduced(choice_axiom,[]) ).
fof(f1921,plain,
( iext(uri_rdf_rest,sK258,uri_rdf_nil)
& iext(uri_rdf_first,sK258,uri_ex_Z)
& iext(uri_rdf_rest,sK257,sK258)
& iext(uri_rdf_first,sK257,uri_ex_Y)
& iext(uri_rdf_rest,sK256,sK257)
& iext(uri_rdf_first,sK256,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK256)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK255,uri_rdf_nil)
& iext(uri_rdf_first,sK255,uri_rdf_rest)
& iext(uri_rdf_rest,sK254,sK255)
& iext(uri_rdf_first,sK254,sK251)
& iext(uri_owl_propertyChainAxiom,sK251,sK254)
& iext(uri_rdf_rest,sK253,uri_rdf_nil)
& iext(uri_rdf_first,sK253,uri_rdf_first)
& iext(uri_rdf_rest,sK252,sK253)
& iext(uri_rdf_first,sK252,sK251)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK251) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252,sK253,sK254,sK255,sK256,sK257,sK258])],[f920,f1920]) ).
fof(f2779,plain,
! [X0,X1,X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f1729]) ).
fof(f2947,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| ~ iext(uri_owl_propertyChainAxiom,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(cnf_transformation,[],[f1845]) ).
fof(f3211,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,[],[f1329]) ).
fof(f3212,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK251),
inference(cnf_transformation,[],[f1921]) ).
fof(f3213,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252),
inference(cnf_transformation,[],[f1921]) ).
fof(f3214,plain,
iext(uri_rdf_first,sK252,sK251),
inference(cnf_transformation,[],[f1921]) ).
fof(f3215,plain,
iext(uri_rdf_rest,sK252,sK253),
inference(cnf_transformation,[],[f1921]) ).
fof(f3216,plain,
iext(uri_rdf_first,sK253,uri_rdf_first),
inference(cnf_transformation,[],[f1921]) ).
fof(f3217,plain,
iext(uri_rdf_rest,sK253,uri_rdf_nil),
inference(cnf_transformation,[],[f1921]) ).
fof(f3218,plain,
iext(uri_owl_propertyChainAxiom,sK251,sK254),
inference(cnf_transformation,[],[f1921]) ).
fof(f3219,plain,
iext(uri_rdf_first,sK254,sK251),
inference(cnf_transformation,[],[f1921]) ).
fof(f3220,plain,
iext(uri_rdf_rest,sK254,sK255),
inference(cnf_transformation,[],[f1921]) ).
fof(f3221,plain,
iext(uri_rdf_first,sK255,uri_rdf_rest),
inference(cnf_transformation,[],[f1921]) ).
fof(f3222,plain,
iext(uri_rdf_rest,sK255,uri_rdf_nil),
inference(cnf_transformation,[],[f1921]) ).
fof(f3224,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK256),
inference(cnf_transformation,[],[f1921]) ).
fof(f3225,plain,
iext(uri_rdf_first,sK256,uri_ex_X),
inference(cnf_transformation,[],[f1921]) ).
fof(f3226,plain,
iext(uri_rdf_rest,sK256,sK257),
inference(cnf_transformation,[],[f1921]) ).
fof(f3227,plain,
iext(uri_rdf_first,sK257,uri_ex_Y),
inference(cnf_transformation,[],[f1921]) ).
fof(f3228,plain,
iext(uri_rdf_rest,sK257,sK258),
inference(cnf_transformation,[],[f1921]) ).
fof(f3229,plain,
iext(uri_rdf_first,sK258,uri_ex_Z),
inference(cnf_transformation,[],[f1921]) ).
cnf(c_906,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdfs_subPropertyOf,X0,X3)
| iext(X3,X1,X2) ),
inference(cnf_transformation,[],[f2779]) ).
cnf(c_1062,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X7,X5)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| iext(X7,X1,X4) ),
inference(cnf_transformation,[],[f2947]) ).
cnf(c_1326,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(cnf_transformation,[],[f3211]) ).
cnf(c_1328,plain,
iext(uri_rdf_first,sK258,uri_ex_Z),
inference(cnf_transformation,[],[f3229]) ).
cnf(c_1329,plain,
iext(uri_rdf_rest,sK257,sK258),
inference(cnf_transformation,[],[f3228]) ).
cnf(c_1330,plain,
iext(uri_rdf_first,sK257,uri_ex_Y),
inference(cnf_transformation,[],[f3227]) ).
cnf(c_1331,plain,
iext(uri_rdf_rest,sK256,sK257),
inference(cnf_transformation,[],[f3226]) ).
cnf(c_1332,plain,
iext(uri_rdf_first,sK256,uri_ex_X),
inference(cnf_transformation,[],[f3225]) ).
cnf(c_1333,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK256),
inference(cnf_transformation,[],[f3224]) ).
cnf(c_1335,plain,
iext(uri_rdf_rest,sK255,uri_rdf_nil),
inference(cnf_transformation,[],[f3222]) ).
cnf(c_1336,plain,
iext(uri_rdf_first,sK255,uri_rdf_rest),
inference(cnf_transformation,[],[f3221]) ).
cnf(c_1337,plain,
iext(uri_rdf_rest,sK254,sK255),
inference(cnf_transformation,[],[f3220]) ).
cnf(c_1338,plain,
iext(uri_rdf_first,sK254,sK251),
inference(cnf_transformation,[],[f3219]) ).
cnf(c_1339,plain,
iext(uri_owl_propertyChainAxiom,sK251,sK254),
inference(cnf_transformation,[],[f3218]) ).
cnf(c_1340,plain,
iext(uri_rdf_rest,sK253,uri_rdf_nil),
inference(cnf_transformation,[],[f3217]) ).
cnf(c_1341,plain,
iext(uri_rdf_first,sK253,uri_rdf_first),
inference(cnf_transformation,[],[f3216]) ).
cnf(c_1342,plain,
iext(uri_rdf_rest,sK252,sK253),
inference(cnf_transformation,[],[f3215]) ).
cnf(c_1343,plain,
iext(uri_rdf_first,sK252,sK251),
inference(cnf_transformation,[],[f3214]) ).
cnf(c_1344,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252),
inference(cnf_transformation,[],[f3213]) ).
cnf(c_1345,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK251),
inference(cnf_transformation,[],[f3212]) ).
cnf(c_28154,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X0)
| ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK256)
| iext(X0,uri_ex_MyOrderedCollection,sK256) ),
inference(instantiation,[status(thm)],[c_906]) ).
cnf(c_37595,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK251)
| ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK256)
| iext(sK251,uri_ex_MyOrderedCollection,sK256) ),
inference(instantiation,[status(thm)],[c_28154]) ).
cnf(c_56244,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(uri_owl_propertyChainAxiom,X6,X5)
| ~ iext(uri_rdf_first,sK253,X3)
| ~ iext(uri_rdf_rest,X5,sK253)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| iext(X6,X1,X4) ),
inference(instantiation,[status(thm)],[c_1062]) ).
cnf(c_56637,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(uri_owl_propertyChainAxiom,X6,X5)
| ~ iext(uri_rdf_first,sK255,X3)
| ~ iext(uri_rdf_rest,X5,sK255)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| iext(X6,X1,X4) ),
inference(instantiation,[status(thm)],[c_1062]) ).
cnf(c_57707,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,sK253,X3)
| ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,sK252)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| iext(X5,X1,X4) ),
inference(instantiation,[status(thm)],[c_56244]) ).
cnf(c_57710,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,sK255,X3)
| ~ iext(uri_rdf_first,sK254,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,sK254)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| iext(X5,X1,X4) ),
inference(instantiation,[status(thm)],[c_56637]) ).
cnf(c_59386,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,sK253,X3)
| ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| iext(uri_skos_member,X1,X4) ),
inference(instantiation,[status(thm)],[c_57707]) ).
cnf(c_59390,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,sK255,X3)
| ~ iext(uri_rdf_first,sK254,X0)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| ~ iext(uri_owl_propertyChainAxiom,sK251,sK254)
| iext(sK251,X1,X4) ),
inference(instantiation,[status(thm)],[c_57710]) ).
cnf(c_61646,plain,
( ~ iext(X0,X1,X2)
| ~ iext(sK251,X3,X1)
| ~ iext(uri_rdf_first,sK255,X0)
| ~ iext(uri_rdf_first,sK254,sK251)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| ~ iext(uri_owl_propertyChainAxiom,sK251,sK254)
| iext(sK251,X3,X2) ),
inference(instantiation,[status(thm)],[c_59390]) ).
cnf(c_61802,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,uri_ex_X)
| ~ iext(uri_rdf_first,sK253,X3)
| ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| iext(uri_skos_member,X1,uri_ex_X) ),
inference(instantiation,[status(thm)],[c_59386]) ).
cnf(c_64337,plain,
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(sK251,X2,X0)
| ~ iext(uri_rdf_first,sK255,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK254,sK251)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| ~ iext(uri_owl_propertyChainAxiom,sK251,sK254)
| iext(sK251,X2,X1) ),
inference(instantiation,[status(thm)],[c_61646]) ).
cnf(c_64338,plain,
( ~ iext(X0,X1,uri_ex_X)
| ~ iext(sK251,X2,X1)
| ~ iext(uri_rdf_first,sK253,X0)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| iext(uri_skos_member,X2,uri_ex_X) ),
inference(instantiation,[status(thm)],[c_61802]) ).
cnf(c_71625,plain,
( ~ iext(X0,X1,X2)
| ~ iext(sK251,X3,X1)
| ~ iext(uri_rdf_first,sK253,X0)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| iext(uri_skos_member,X3,X2) ),
inference(instantiation,[status(thm)],[c_59386]) ).
cnf(c_93604,plain,
( ~ iext(uri_rdf_rest,sK256,X0)
| ~ iext(uri_rdf_first,sK255,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK254,sK251)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| ~ iext(uri_owl_propertyChainAxiom,sK251,sK254)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK256)
| iext(sK251,uri_ex_MyOrderedCollection,X0) ),
inference(instantiation,[status(thm)],[c_64337]) ).
cnf(c_93607,plain,
( ~ iext(X0,sK256,uri_ex_X)
| ~ iext(uri_rdf_first,sK253,X0)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK256)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(instantiation,[status(thm)],[c_64338]) ).
cnf(c_93608,plain,
( ~ iext(uri_rdf_first,sK256,uri_ex_X)
| ~ iext(uri_rdf_first,sK253,uri_rdf_first)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK256)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(instantiation,[status(thm)],[c_93607]) ).
cnf(c_95511,plain,
( ~ iext(uri_rdf_first,sK255,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK254,sK251)
| ~ iext(uri_rdf_rest,sK256,sK257)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| ~ iext(uri_owl_propertyChainAxiom,sK251,sK254)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK256)
| iext(sK251,uri_ex_MyOrderedCollection,sK257) ),
inference(instantiation,[status(thm)],[c_93604]) ).
cnf(c_98493,plain,
( ~ iext(X0,sK257,X1)
| ~ iext(uri_rdf_first,sK253,X0)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK257)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X1) ),
inference(instantiation,[status(thm)],[c_71625]) ).
cnf(c_98495,plain,
( ~ iext(uri_rdf_rest,sK257,X0)
| ~ iext(uri_rdf_first,sK255,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK254,sK251)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| ~ iext(uri_owl_propertyChainAxiom,sK251,sK254)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK257)
| iext(sK251,uri_ex_MyOrderedCollection,X0) ),
inference(instantiation,[status(thm)],[c_64337]) ).
cnf(c_102104,plain,
( ~ iext(uri_rdf_first,sK257,uri_ex_Y)
| ~ iext(uri_rdf_first,sK253,uri_rdf_first)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK257)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(instantiation,[status(thm)],[c_98493]) ).
cnf(c_102108,plain,
( ~ iext(uri_rdf_first,sK255,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK254,sK251)
| ~ iext(uri_rdf_rest,sK257,sK258)
| ~ iext(uri_rdf_rest,sK255,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK254,sK255)
| ~ iext(uri_owl_propertyChainAxiom,sK251,sK254)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK257)
| iext(sK251,uri_ex_MyOrderedCollection,sK258) ),
inference(instantiation,[status(thm)],[c_98495]) ).
cnf(c_107720,plain,
( ~ iext(X0,sK258,X1)
| ~ iext(uri_rdf_first,sK253,X0)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK258)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X1) ),
inference(instantiation,[status(thm)],[c_71625]) ).
cnf(c_110670,plain,
( ~ iext(uri_rdf_first,sK258,uri_ex_Z)
| ~ iext(uri_rdf_first,sK253,uri_rdf_first)
| ~ iext(uri_rdf_first,sK252,sK251)
| ~ iext(uri_rdf_rest,sK253,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK252,sK253)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK252)
| ~ iext(sK251,uri_ex_MyOrderedCollection,sK258)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(instantiation,[status(thm)],[c_107720]) ).
cnf(c_110671,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_110670,c_102108,c_102104,c_95511,c_93608,c_37595,c_1326,c_1328,c_1329,c_1330,c_1331,c_1332,c_1333,c_1335,c_1336,c_1337,c_1338,c_1339,c_1340,c_1341,c_1342,c_1343,c_1344,c_1345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB022+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n029.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 06:49:55 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 87.90/12.80 % SZS status Started for theBenchmark.p
% 87.90/12.80 % SZS status Theorem for theBenchmark.p
% 87.90/12.80
% 87.90/12.80 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 87.90/12.80
% 87.90/12.80 ------ iProver source info
% 87.90/12.80
% 87.90/12.80 git: date: 2023-05-31 18:12:56 +0000
% 87.90/12.80 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 87.90/12.80 git: non_committed_changes: false
% 87.90/12.80 git: last_make_outside_of_git: false
% 87.90/12.80
% 87.90/12.80 ------ Parsing...
% 87.90/12.80 ------ Clausification by vclausify_rel & Parsing by iProver...
% 87.90/12.80
% 87.90/12.80 ------ Preprocessing...
% 87.90/12.80
% 87.90/12.80 ------ Preprocessing...
% 87.90/12.80
% 87.90/12.80 ------ Preprocessing...
% 87.90/12.80 ------ Proving...
% 87.90/12.80 ------ Problem Properties
% 87.90/12.80
% 87.90/12.80
% 87.90/12.80 clauses 1178
% 87.90/12.80 conjectures 1
% 87.90/12.80 EPR 718
% 87.90/12.80 Horn 909
% 87.90/12.80 unary 226
% 87.90/12.80 binary 462
% 87.90/12.80 lits 3751
% 87.90/12.80 lits eq 197
% 87.90/12.80 fd_pure 0
% 87.90/12.80 fd_pseudo 0
% 87.90/12.80 fd_cond 0
% 87.90/12.80 fd_pseudo_cond 66
% 87.90/12.80 AC symbols 0
% 87.90/12.80
% 87.90/12.80 ------ Input Options Time Limit: Unbounded
% 87.90/12.80
% 87.90/12.80
% 87.90/12.80 ------
% 87.90/12.80 Current options:
% 87.90/12.80 ------
% 87.90/12.80
% 87.90/12.80
% 87.90/12.80
% 87.90/12.80
% 87.90/12.80 ------ Proving...
% 87.90/12.80
% 87.90/12.80
% 87.90/12.80 % SZS status Theorem for theBenchmark.p
% 87.90/12.80
% 87.90/12.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 87.90/12.80
% 87.90/12.80
%------------------------------------------------------------------------------