TSTP Solution File: SWB022+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n008.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 : Wed Aug 31 18:37:23 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 77 ( 27 unt; 0 def)
% Number of atoms : 389 ( 0 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 447 ( 135 ~; 131 |; 166 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 192 ( 148 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f137,f153,f161]) ).
fof(f161,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f160,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f159,f58]) ).
fof(f58,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| spl11_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl11_2
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f159,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(resolution,[],[f158,f35]) ).
fof(f35,plain,
iext(uri_rdf_first,sK4,uri_ex_Z),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( iext(uri_rdf_first,sK3,uri_rdf_first)
& iext(uri_rdf_first,sK8,sK9)
& iext(uri_owl_propertyChainAxiom,sK9,sK8)
& iext(uri_rdf_first,sK6,uri_rdf_rest)
& iext(uri_rdf_rest,sK5,sK3)
& iext(uri_rdf_rest,sK4,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK5)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK9)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK5,sK9)
& iext(uri_rdf_first,sK10,uri_ex_X)
& iext(uri_rdf_rest,sK10,sK7)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK10)
& iext(uri_rdf_first,sK4,uri_ex_Z)
& iext(uri_rdf_first,sK7,uri_ex_Y)
& iext(uri_rdf_rest,sK7,sK4)
& iext(uri_rdf_rest,sK8,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f18,f19]) ).
fof(f19,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(uri_rdf_first,X0,uri_rdf_first)
& iext(uri_rdf_first,X5,X6)
& iext(uri_owl_propertyChainAxiom,X6,X5)
& iext(uri_rdf_first,X3,uri_rdf_rest)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X2)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X6)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X2,X6)
& iext(uri_rdf_first,X7,uri_ex_X)
& iext(uri_rdf_rest,X7,X4)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X7)
& iext(uri_rdf_first,X1,uri_ex_Z)
& iext(uri_rdf_first,X4,uri_ex_Y)
& iext(uri_rdf_rest,X4,X1)
& iext(uri_rdf_rest,X5,X3) )
=> ( iext(uri_rdf_first,sK3,uri_rdf_first)
& iext(uri_rdf_first,sK8,sK9)
& iext(uri_owl_propertyChainAxiom,sK9,sK8)
& iext(uri_rdf_first,sK6,uri_rdf_rest)
& iext(uri_rdf_rest,sK5,sK3)
& iext(uri_rdf_rest,sK4,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK5)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK9)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK5,sK9)
& iext(uri_rdf_first,sK10,uri_ex_X)
& iext(uri_rdf_rest,sK10,sK7)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK10)
& iext(uri_rdf_first,sK4,uri_ex_Z)
& iext(uri_rdf_first,sK7,uri_ex_Y)
& iext(uri_rdf_rest,sK7,sK4)
& iext(uri_rdf_rest,sK8,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(uri_rdf_first,X0,uri_rdf_first)
& iext(uri_rdf_first,X5,X6)
& iext(uri_owl_propertyChainAxiom,X6,X5)
& iext(uri_rdf_first,X3,uri_rdf_rest)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X2)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X6)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X2,X6)
& iext(uri_rdf_first,X7,uri_ex_X)
& iext(uri_rdf_rest,X7,X4)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X7)
& iext(uri_rdf_first,X1,uri_ex_Z)
& iext(uri_rdf_first,X4,uri_ex_Y)
& iext(uri_rdf_rest,X4,X1)
& iext(uri_rdf_rest,X5,X3) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
? [X6,X1,X3,X5,X4,X0,X7,X2] :
( iext(uri_rdf_first,X6,uri_rdf_first)
& iext(uri_rdf_first,X0,X7)
& iext(uri_owl_propertyChainAxiom,X7,X0)
& iext(uri_rdf_first,X5,uri_rdf_rest)
& iext(uri_rdf_rest,X3,X6)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X3)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X7)
& iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X3,X7)
& iext(uri_rdf_first,X2,uri_ex_X)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X2)
& iext(uri_rdf_first,X1,uri_ex_Z)
& iext(uri_rdf_first,X4,uri_ex_Y)
& iext(uri_rdf_rest,X4,X1)
& iext(uri_rdf_rest,X0,X5) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
? [X14,X18,X16,X12,X17,X15,X13,X11] :
( iext(uri_rdf_first,X18,uri_ex_Z)
& iext(uri_owl_propertyChainAxiom,X11,X14)
& iext(uri_rdf_first,X16,uri_ex_X)
& iext(uri_rdf_first,X14,X11)
& iext(uri_rdf_first,X12,X11)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X11)
& iext(uri_rdf_rest,X16,X17)
& iext(uri_rdf_first,X15,uri_rdf_rest)
& iext(uri_rdf_rest,X18,uri_rdf_nil)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X16)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_rdf_rest,X17,X18)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X12)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X17,uri_ex_Y)
& iext(uri_rdf_first,X13,uri_rdf_first) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(f158,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK4,X0)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f149,f50]) ).
fof(f50,plain,
iext(uri_rdf_first,sK3,uri_rdf_first),
inference(cnf_transformation,[],[f20]) ).
fof(f149,plain,
! [X2,X3] :
( ~ iext(uri_rdf_first,sK3,X2)
| ~ iext(X2,sK4,X3)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X3) ),
inference(resolution,[],[f147,f133]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ iext(sK9,X0,X3)
| ~ iext(uri_rdf_first,sK3,X2)
| ~ iext(X2,X3,X1)
| iext(uri_skos_member,X0,X1) ),
inference(resolution,[],[f132,f39]) ).
fof(f39,plain,
iext(uri_rdf_first,sK5,sK9),
inference(cnf_transformation,[],[f20]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK5,X0)
| iext(uri_skos_member,X4,X3)
| ~ iext(uri_rdf_first,sK3,X1)
| ~ iext(X1,X2,X3)
| ~ iext(X0,X4,X2) ),
inference(subsumption_resolution,[],[f131,f42]) ).
fof(f42,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f20]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,sK3,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK5,X0)
| iext(uri_skos_member,X4,X3)
| ~ iext(X0,X4,X2)
| ~ iext(uri_rdf_first,sK3,X1)
| ~ iext(X1,X2,X3) ),
inference(resolution,[],[f116,f46]) ).
fof(f46,plain,
iext(uri_rdf_rest,sK5,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK5,X0)
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(X5,X3,X4)
| ~ iext(X1,X2,X3)
| iext(uri_skos_member,X2,X4)
| ~ iext(uri_rdf_first,X0,X5)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(resolution,[],[f23,f44]) ).
fof(f44,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK5),
inference(cnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_owl_propertyChainAxiom,X2,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(X0,X9,X10)
| ~ iext(uri_rdf_first,X1,X0)
| iext(X2,X9,X8)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(X4,X10,X8) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ( ( iext(uri_owl_propertyChainAxiom,X2,X1)
| ~ ip(X0)
| ( iext(X4,sK2(X0,X2,X4),sK0(X0,X2,X4))
& ~ iext(X2,sK1(X0,X2,X4),sK0(X0,X2,X4))
& iext(X0,sK1(X0,X2,X4),sK2(X0,X2,X4)) )
| ~ ip(X4)
| ~ ip(X2) )
& ( ( ip(X0)
& ! [X8,X9,X10] :
( ~ iext(X4,X10,X8)
| iext(X2,X9,X8)
| ~ iext(X0,X9,X10) )
& ip(X4)
& ip(X2) )
| ~ iext(uri_owl_propertyChainAxiom,X2,X1) ) )
| ~ iext(uri_rdf_first,X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f14,f15]) ).
fof(f15,plain,
! [X0,X2,X4] :
( ? [X5,X6,X7] :
( iext(X4,X7,X5)
& ~ iext(X2,X6,X5)
& iext(X0,X6,X7) )
=> ( iext(X4,sK2(X0,X2,X4),sK0(X0,X2,X4))
& ~ iext(X2,sK1(X0,X2,X4),sK0(X0,X2,X4))
& iext(X0,sK1(X0,X2,X4),sK2(X0,X2,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ( ( iext(uri_owl_propertyChainAxiom,X2,X1)
| ~ ip(X0)
| ? [X5,X6,X7] :
( iext(X4,X7,X5)
& ~ iext(X2,X6,X5)
& iext(X0,X6,X7) )
| ~ ip(X4)
| ~ ip(X2) )
& ( ( ip(X0)
& ! [X8,X9,X10] :
( ~ iext(X4,X10,X8)
| iext(X2,X9,X8)
| ~ iext(X0,X9,X10) )
& ip(X4)
& ip(X2) )
| ~ iext(uri_owl_propertyChainAxiom,X2,X1) ) )
| ~ iext(uri_rdf_first,X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X2,X1,X4,X3] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ( ( iext(uri_owl_propertyChainAxiom,X1,X2)
| ~ ip(X0)
| ? [X7,X6,X5] :
( iext(X3,X5,X7)
& ~ iext(X1,X6,X7)
& iext(X0,X6,X5) )
| ~ ip(X3)
| ~ ip(X1) )
& ( ( ip(X0)
& ! [X7,X6,X5] :
( ~ iext(X3,X5,X7)
| iext(X1,X6,X7)
| ~ iext(X0,X6,X5) )
& ip(X3)
& ip(X1) )
| ~ iext(uri_owl_propertyChainAxiom,X1,X2) ) )
| ~ iext(uri_rdf_first,X2,X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X2,X1,X4,X3] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ( ( iext(uri_owl_propertyChainAxiom,X1,X2)
| ~ ip(X0)
| ? [X7,X6,X5] :
( iext(X3,X5,X7)
& ~ iext(X1,X6,X7)
& iext(X0,X6,X5) )
| ~ ip(X3)
| ~ ip(X1) )
& ( ( ip(X0)
& ! [X7,X6,X5] :
( ~ iext(X3,X5,X7)
| iext(X1,X6,X7)
| ~ iext(X0,X6,X5) )
& ip(X3)
& ip(X1) )
| ~ iext(uri_owl_propertyChainAxiom,X1,X2) ) )
| ~ iext(uri_rdf_first,X2,X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X2,X1,X4,X3] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ( iext(uri_owl_propertyChainAxiom,X1,X2)
<=> ( ip(X0)
& ! [X7,X6,X5] :
( ~ iext(X3,X5,X7)
| iext(X1,X6,X7)
| ~ iext(X0,X6,X5) )
& ip(X3)
& ip(X1) ) )
| ~ iext(uri_rdf_first,X2,X0) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X0,X2,X1,X4,X3] :
( ( ( ip(X3)
& ! [X5,X7,X6] :
( iext(X1,X6,X7)
| ~ iext(X3,X5,X7)
| ~ iext(X0,X6,X5) )
& ip(X0)
& ip(X1) )
<=> iext(uri_owl_propertyChainAxiom,X1,X2) )
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X2,X1,X4,X3] :
( ( iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X4,X3)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X2,X0) )
=> ( ( ip(X3)
& ! [X5,X7,X6] :
( ( iext(X3,X5,X7)
& iext(X0,X6,X5) )
=> iext(X1,X6,X7) )
& ip(X0)
& ip(X1) )
<=> iext(uri_owl_propertyChainAxiom,X1,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X5,X0,X4,X7,X6] :
( ( iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,X6) )
=> ( ( ip(X5)
& ip(X0)
& ! [X9,X8,X10] :
( ( iext(X7,X9,X10)
& iext(X5,X8,X9) )
=> iext(X0,X8,X10) )
& ip(X7) )
<=> iext(uri_owl_propertyChainAxiom,X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f147,plain,
iext(sK9,uri_ex_MyOrderedCollection,sK4),
inference(resolution,[],[f146,f33]) ).
fof(f33,plain,
iext(uri_rdf_rest,sK7,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f146,plain,
! [X0] :
( ~ iext(uri_rdf_rest,sK7,X0)
| iext(sK9,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f144,f47]) ).
fof(f47,plain,
iext(uri_rdf_first,sK6,uri_rdf_rest),
inference(cnf_transformation,[],[f20]) ).
fof(f144,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,sK7,X1)
| iext(sK9,uri_ex_MyOrderedCollection,X1) ),
inference(resolution,[],[f143,f140]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ iext(sK9,X0,X2)
| ~ iext(uri_rdf_first,sK6,X3)
| ~ iext(X3,X2,X1)
| iext(sK9,X0,X1) ),
inference(resolution,[],[f139,f49]) ).
fof(f49,plain,
iext(uri_rdf_first,sK8,sK9),
inference(cnf_transformation,[],[f20]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK8,X4)
| iext(sK9,X3,X2)
| ~ iext(X4,X3,X1)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,X1,X2) ),
inference(subsumption_resolution,[],[f138,f40]) ).
fof(f40,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f20]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(X4,X3,X1)
| iext(sK9,X3,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_first,sK8,X4)
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f117,f32]) ).
fof(f32,plain,
iext(uri_rdf_rest,sK8,sK6),
inference(cnf_transformation,[],[f20]) ).
fof(f117,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ iext(uri_rdf_rest,sK8,X6)
| ~ iext(X11,X9,X10)
| ~ iext(uri_rdf_first,X6,X11)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| iext(sK9,X8,X10)
| ~ iext(uri_rdf_first,sK8,X7)
| ~ iext(X7,X8,X9) ),
inference(resolution,[],[f23,f48]) ).
fof(f48,plain,
iext(uri_owl_propertyChainAxiom,sK9,sK8),
inference(cnf_transformation,[],[f20]) ).
fof(f143,plain,
iext(sK9,uri_ex_MyOrderedCollection,sK7),
inference(resolution,[],[f142,f37]) ).
fof(f37,plain,
iext(uri_rdf_rest,sK10,sK7),
inference(cnf_transformation,[],[f20]) ).
fof(f142,plain,
! [X0] :
( ~ iext(uri_rdf_rest,sK10,X0)
| iext(sK9,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f141,f47]) ).
fof(f141,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK6,X0)
| iext(sK9,uri_ex_MyOrderedCollection,X1)
| ~ iext(X0,sK10,X1) ),
inference(resolution,[],[f140,f80]) ).
fof(f80,plain,
iext(sK9,uri_ex_MyOrderedCollection,sK10),
inference(resolution,[],[f66,f36]) ).
fof(f36,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK10),
inference(cnf_transformation,[],[f20]) ).
fof(f66,plain,
! [X0,X1] :
( ~ iext(uri_skos_memberList,X0,X1)
| iext(sK9,X0,X1) ),
inference(resolution,[],[f30,f41]) ).
fof(f41,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK9),
inference(cnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X3,X2)
| iext(X1,X3,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ip(X1)
& ! [X2,X3] :
( ~ iext(X0,X3,X2)
| iext(X1,X3,X2) )
& ip(X0) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ip(X1)
& ! [X3,X2] :
( ~ iext(X0,X2,X3)
| iext(X1,X2,X3) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
=> ( ip(X0)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
fof(f153,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[],[f151,f54]) ).
fof(f54,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| spl11_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl11_1
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f151,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(resolution,[],[f150,f34]) ).
fof(f34,plain,
iext(uri_rdf_first,sK7,uri_ex_Y),
inference(cnf_transformation,[],[f20]) ).
fof(f150,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK7,X0)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f145,f50]) ).
fof(f145,plain,
! [X2,X3] :
( ~ iext(uri_rdf_first,sK3,X2)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X3)
| ~ iext(X2,sK7,X3) ),
inference(resolution,[],[f143,f133]) ).
fof(f137,plain,
spl11_3,
inference(avatar_split_clause,[],[f136,f60]) ).
fof(f60,plain,
( spl11_3
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f136,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(resolution,[],[f135,f38]) ).
fof(f38,plain,
iext(uri_rdf_first,sK10,uri_ex_X),
inference(cnf_transformation,[],[f20]) ).
fof(f135,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK10,X0)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f134,f50]) ).
fof(f134,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X0)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X1)
| ~ iext(X0,sK10,X1) ),
inference(resolution,[],[f133,f80]) ).
fof(f63,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f28,f60,f56,f52]) ).
fof(f28,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
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_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
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_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 17:37:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (4322)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (4330)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (4322)First to succeed.
% 0.19/0.51 % (4322)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (4322)------------------------------
% 0.19/0.51 % (4322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4322)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (4322)Memory used [KB]: 5500
% 0.19/0.51 % (4322)Time elapsed: 0.092 s
% 0.19/0.51 % (4322)Instructions burned: 5 (million)
% 0.19/0.51 % (4322)------------------------------
% 0.19/0.51 % (4322)------------------------------
% 0.19/0.51 % (4308)Success in time 0.159 s
%------------------------------------------------------------------------------