TSTP Solution File: SWB022+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 09:45:50 EDT 2024
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 21 unt; 0 def)
% Number of atoms : 442 ( 0 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 546 ( 191 ~; 190 |; 146 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 193 ( 157 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f185,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f106,f145,f153,f162,f171,f180,f184]) ).
fof(f184,plain,
( spl11_1
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| spl11_1
| ~ spl11_19 ),
inference(resolution,[],[f181,f43]) ).
fof(f43,plain,
iext(uri_rdf_first,sK8,uri_ex_X),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( iext(uri_rdf_rest,sK10,uri_rdf_nil)
& iext(uri_rdf_first,sK10,uri_ex_Z)
& iext(uri_rdf_rest,sK9,sK10)
& iext(uri_rdf_first,sK9,uri_ex_Y)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_rdf_rest)
& iext(uri_rdf_rest,sK6,sK7)
& iext(uri_rdf_first,sK6,sK3)
& iext(uri_owl_propertyChainAxiom,sK3,sK6)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_first,sK5,uri_rdf_first)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,sK3)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f7,f17]) ).
fof(f17,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,sK10,uri_rdf_nil)
& iext(uri_rdf_first,sK10,uri_ex_Z)
& iext(uri_rdf_rest,sK9,sK10)
& iext(uri_rdf_first,sK9,uri_ex_Y)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_rdf_rest)
& iext(uri_rdf_rest,sK6,sK7)
& iext(uri_rdf_first,sK6,sK3)
& iext(uri_owl_propertyChainAxiom,sK3,sK6)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_first,sK5,uri_rdf_first)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,sK3)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3) ) ),
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/sandbox/tmp/tmp.1POoH0Y0ci/Vampire---4.8_21915',testcase_premise_fullish_022_List_Member_Access) ).
fof(f181,plain,
( ~ iext(uri_rdf_first,sK8,uri_ex_X)
| spl11_1
| ~ spl11_19 ),
inference(resolution,[],[f52,f156]) ).
fof(f156,plain,
( ! [X0] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,X0)
| ~ iext(uri_rdf_first,sK8,X0) )
| ~ spl11_19 ),
inference(resolution,[],[f155,f65]) ).
fof(f65,plain,
iext(sK3,uri_ex_MyOrderedCollection,sK8),
inference(resolution,[],[f64,f42]) ).
fof(f42,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8),
inference(cnf_transformation,[],[f18]) ).
fof(f64,plain,
! [X0,X1] :
( ~ iext(uri_skos_memberList,X0,X1)
| iext(sK3,X0,X1) ),
inference(resolution,[],[f21,f30]) ).
fof(f30,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X2,X3)
| iext(X1,X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,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/sandbox/tmp/tmp.1POoH0Y0ci/Vampire---4.8_21915',rdfs_subpropertyof_main) ).
fof(f155,plain,
( ! [X2,X0,X1] :
( ~ iext(sK3,X2,X0)
| ~ iext(uri_rdf_first,X0,X1)
| iext(uri_skos_member,X2,X1) )
| ~ spl11_19 ),
inference(resolution,[],[f154,f32]) ).
fof(f32,plain,
iext(uri_rdf_first,sK4,sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f154,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(X0,X3,X1)
| iext(uri_skos_member,X3,X2) )
| ~ spl11_19 ),
inference(resolution,[],[f152,f34]) ).
fof(f34,plain,
iext(uri_rdf_first,sK5,uri_rdf_first),
inference(cnf_transformation,[],[f18]) ).
fof(f152,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK5,X4)
| ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(X4,X2,X3)
| ~ iext(X0,X1,X2)
| iext(uri_skos_member,X1,X3) )
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl11_19
<=> ! [X4,X0,X3,X2,X1] :
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(X4,X2,X3)
| ~ iext(uri_rdf_first,sK5,X4)
| iext(uri_skos_member,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f52,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| spl11_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl11_1
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f180,plain,
( spl11_3
| ~ spl11_19
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| spl11_3
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f177,f65]) ).
fof(f177,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| spl11_3
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f176,f44]) ).
fof(f44,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f18]) ).
fof(f176,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,sK9)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_3
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f175,f164]) ).
fof(f164,plain,
( ! [X2,X0,X1] :
( iext(sK3,X2,X1)
| ~ iext(sK3,X2,X0)
| ~ iext(uri_rdf_rest,X0,X1) )
| ~ spl11_20 ),
inference(resolution,[],[f163,f37]) ).
fof(f37,plain,
iext(uri_rdf_first,sK6,sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f163,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(X0,X3,X1)
| iext(sK3,X3,X2) )
| ~ spl11_20 ),
inference(resolution,[],[f161,f39]) ).
fof(f39,plain,
iext(uri_rdf_first,sK7,uri_rdf_rest),
inference(cnf_transformation,[],[f18]) ).
fof(f161,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK7,X4)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X4,X2,X3)
| ~ iext(X0,X1,X2)
| iext(sK3,X1,X3) )
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl11_20
<=> ! [X4,X0,X3,X2,X1] :
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X4,X2,X3)
| ~ iext(uri_rdf_first,sK7,X4)
| iext(sK3,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f175,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK9)
| spl11_3
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f174,f46]) ).
fof(f46,plain,
iext(uri_rdf_rest,sK9,sK10),
inference(cnf_transformation,[],[f18]) ).
fof(f174,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,sK10)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_3
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f173,f47]) ).
fof(f47,plain,
iext(uri_rdf_first,sK10,uri_ex_Z),
inference(cnf_transformation,[],[f18]) ).
fof(f173,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,X1,uri_ex_Z)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_3
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f60,f165]) ).
fof(f165,plain,
( ! [X2,X3,X0,X1] :
( iext(uri_skos_member,X0,X3)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(sK3,X0,X1) )
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f164,f155]) ).
fof(f60,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| spl11_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl11_3
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f171,plain,
( spl11_2
| ~ spl11_19
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| spl11_2
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f168,f65]) ).
fof(f168,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| spl11_2
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f167,f44]) ).
fof(f167,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,X0,sK9)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_2
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f166,f45]) ).
fof(f45,plain,
iext(uri_rdf_first,sK9,uri_ex_Y),
inference(cnf_transformation,[],[f18]) ).
fof(f166,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,X1,uri_ex_Y)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_2
| ~ spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f165,f56]) ).
fof(f56,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| spl11_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl11_2
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f162,plain,
( ~ spl11_13
| spl11_20 ),
inference(avatar_split_clause,[],[f158,f160,f113]) ).
fof(f113,plain,
( spl11_13
<=> iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f158,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| iext(sK3,X1,X3)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK7,X4)
| ~ iext(X4,X2,X3)
| ~ iext(uri_rdf_first,sK6,X0) ),
inference(resolution,[],[f148,f38]) ).
fof(f38,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(cnf_transformation,[],[f18]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK6,X5)
| ~ iext(X3,X4,X1)
| iext(sK3,X4,X2)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK6,X3) ),
inference(resolution,[],[f25,f36]) ).
fof(f36,plain,
iext(uri_owl_propertyChainAxiom,sK3,sK6),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10)
| ~ 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,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
& iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(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,[sK0,sK1,sK2])],[f14,f15]) ).
fof(f15,plain,
! [X0,X2,X4] :
( ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
& iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,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,[],[f13]) ).
fof(f13,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,[],[f12]) ).
fof(f12,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,[],[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(flattening,[],[f9]) ).
fof(f9,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/sandbox/tmp/tmp.1POoH0Y0ci/Vampire---4.8_21915',owl_chain_002) ).
fof(f153,plain,
( ~ spl11_8
| spl11_19 ),
inference(avatar_split_clause,[],[f149,f151,f86]) ).
fof(f86,plain,
( spl11_8
<=> iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| iext(uri_skos_member,X1,X3)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK5,X4)
| ~ iext(X4,X2,X3)
| ~ iext(uri_rdf_first,sK4,X0) ),
inference(resolution,[],[f147,f33]) ).
fof(f33,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f18]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK4,X5)
| ~ iext(X3,X4,X1)
| iext(uri_skos_member,X4,X2)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK4,X3) ),
inference(resolution,[],[f25,f31]) ).
fof(f31,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4),
inference(cnf_transformation,[],[f18]) ).
fof(f145,plain,
spl11_13,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| spl11_13 ),
inference(resolution,[],[f115,f40]) ).
fof(f40,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f18]) ).
fof(f115,plain,
( ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| spl11_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f106,plain,
spl11_8,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| spl11_8 ),
inference(resolution,[],[f88,f35]) ).
fof(f35,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f18]) ).
fof(f88,plain,
( ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| spl11_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f61,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f29,f58,f54,f50]) ).
fof(f29,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,[],[f11]) ).
fof(f11,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/sandbox/tmp/tmp.1POoH0Y0ci/Vampire---4.8_21915',testcase_conclusion_fullish_022_List_Member_Access) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Fri May 3 18:42:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.1POoH0Y0ci/Vampire---4.8_21915
% 0.55/0.75 % (22031)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75 % (22029)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75 % (22030)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75 % (22028)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (22026)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (22024)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (22027)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75 % (22025)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75 % (22031)Refutation not found, incomplete strategy% (22031)------------------------------
% 0.55/0.75 % (22031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (22030)Refutation not found, incomplete strategy% (22030)------------------------------
% 0.55/0.75 % (22030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (22029)Refutation not found, incomplete strategy% (22029)------------------------------
% 0.55/0.75 % (22029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (22030)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75 % (22029)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % (22030)Memory used [KB]: 944
% 0.55/0.75 % (22029)Memory used [KB]: 943
% 0.55/0.75 % (22029)Time elapsed: 0.002 s
% 0.55/0.75 % (22030)Time elapsed: 0.002 s
% 0.55/0.75 % (22030)Instructions burned: 2 (million)
% 0.55/0.75 % (22029)Instructions burned: 2 (million)
% 0.55/0.75 % (22027)Refutation not found, incomplete strategy% (22027)------------------------------
% 0.55/0.75 % (22027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (22031)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (22031)Memory used [KB]: 943
% 0.55/0.75 % (22031)Time elapsed: 0.002 s
% 0.55/0.75 % (22031)Instructions burned: 2 (million)
% 0.55/0.75 % (22027)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (22027)Memory used [KB]: 944
% 0.55/0.75 % (22027)Time elapsed: 0.002 s
% 0.55/0.75 % (22027)Instructions burned: 2 (million)
% 0.55/0.75 % (22031)------------------------------
% 0.55/0.75 % (22031)------------------------------
% 0.55/0.75 % (22030)------------------------------
% 0.55/0.75 % (22030)------------------------------
% 0.55/0.75 % (22029)------------------------------
% 0.55/0.75 % (22029)------------------------------
% 0.55/0.75 % (22027)------------------------------
% 0.55/0.75 % (22027)------------------------------
% 0.55/0.76 % (22025)First to succeed.
% 0.55/0.76 % (22035)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.55/0.76 % (22034)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.76 % (22032)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.76 % (22033)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.76 % (22025)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22023"
% 0.55/0.76 % (22025)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Theorem for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (22025)------------------------------
% 0.55/0.76 % (22025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (22025)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (22025)Memory used [KB]: 1090
% 0.55/0.76 % (22025)Time elapsed: 0.007 s
% 0.55/0.76 % (22025)Instructions burned: 10 (million)
% 0.55/0.76 % (22023)Success in time 0.397 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------