%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:00:09 PM UTC 2026
% Result : Theorem 2.72s 1.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 87 ( 25 unt; 3 def)
% Number of atoms : 361 ( 0 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 459 ( 185 ~; 183 |; 81 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 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 : 166 ( 0 sgn 149 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( ( iext(X2,X5,X6)
& iext(X4,X6,X7) )
=> iext(X0,X5,X7) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f3,conjecture,
( 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
fof(f4,negated_conjecture,
~ ( 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(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X0)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X1)
& iext(uri_rdf_first,X1,X0)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,uri_rdf_first)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,X0,X3)
& iext(uri_rdf_first,X3,X0)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X4,uri_rdf_rest)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X5)
& iext(uri_rdf_first,X5,uri_ex_X)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X6,uri_ex_Y)
& iext(uri_rdf_rest,X6,X7)
& iext(uri_rdf_first,X7,uri_ex_Z)
& iext(uri_rdf_rest,X7,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(f6,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f7]) ).
fof(f9,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(f10,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(nnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4))
& iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4)) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X5,sK0(X0,X2,X4)),skolemize(X6,sK1(X0,X2,X4)),skolemize(X7,sK2(X0,X2,X4))],[f12]) ).
fof(f14,plain,
( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
& iext(uri_rdf_first,sK4,sK3)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK5,uri_rdf_first)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,sK3,sK6)
& iext(uri_rdf_first,sK6,sK3)
& iext(uri_rdf_rest,sK6,sK7)
& iext(uri_rdf_first,sK7,uri_rdf_rest)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
& iext(uri_rdf_first,sK8,uri_ex_X)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK9,uri_ex_Y)
& iext(uri_rdf_rest,sK9,sK10)
& iext(uri_rdf_first,sK10,uri_ex_Z)
& iext(uri_rdf_rest,sK10,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10)],[f5]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X2,X3)
| iext(X1,X2,X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10)
| iext(X0,X8,X10)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,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(cnf_transformation,[],[f9]) ).
fof(f27,plain,
iext(uri_rdf_first,sK10,uri_ex_Z),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
iext(uri_rdf_rest,sK9,sK10),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
iext(uri_rdf_first,sK9,uri_ex_Y),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
iext(uri_rdf_first,sK8,uri_ex_X),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
iext(uri_rdf_first,sK7,uri_rdf_rest),
inference(cnf_transformation,[],[f14]) ).
fof(f36,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
iext(uri_rdf_first,sK6,sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
iext(uri_owl_propertyChainAxiom,sK3,sK6),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f14]) ).
fof(f40,plain,
iext(uri_rdf_first,sK5,uri_rdf_first),
inference(cnf_transformation,[],[f14]) ).
fof(f41,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f14]) ).
fof(f42,plain,
iext(uri_rdf_first,sK4,sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f43,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f46,definition,
( spl11_1
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f48,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| spl11_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl11_2
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f52,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| spl11_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl11_3
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f56,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| spl11_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f25,f54,f50,f46]) ).
fof(f58,plain,
! [X0,X1] :
( iext(sK3,X0,X1)
| ~ iext(uri_skos_memberList,X0,X1) ),
inference(resolution,[],[f15,f44]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK4,X5)
| ~ iext(X3,X2,X4)
| iext(uri_skos_member,X1,X4)
| ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(resolution,[],[f18,f43]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4,X5] :
( iext(sK3,X1,X4)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_rest,sK6,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(resolution,[],[f18,f38]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| iext(uri_skos_member,X3,X2)
| ~ iext(uri_rdf_first,sK4,X4)
| ~ iext(X4,X3,X1)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
inference(resolution,[],[f60,f41]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK5,X0)
| iext(uri_skos_member,X3,X2)
| ~ iext(uri_rdf_first,sK4,X4)
| ~ iext(X4,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f65,f39]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK4,X2)
| iext(uri_skos_member,X0,X1)
| ~ iext(X2,X0,X3)
| ~ iext(uri_rdf_first,X3,X1) ),
inference(resolution,[],[f76,f40]) ).
fof(f95,plain,
! [X2,X0,X1] :
( iext(uri_skos_member,X0,X1)
| ~ iext(sK3,X0,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(resolution,[],[f79,f42]) ).
fof(f171,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,X0,uri_ex_Z)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_1 ),
inference(resolution,[],[f95,f48]) ).
fof(f176,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK10)
| spl11_1 ),
inference(resolution,[],[f171,f27]) ).
fof(f182,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK6,X3)
| ~ iext(X2,uri_ex_MyOrderedCollection,X1)
| ~ iext(uri_rdf_first,sK6,X2)
| ~ iext(X0,X1,sK10)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
| spl11_1 ),
inference(resolution,[],[f176,f61]) ).
fof(f245,plain,
( ! [X2,X0,X1] :
( ~ iext(X0,uri_ex_MyOrderedCollection,X1)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X2,X1,sK10)
| ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) )
| spl11_1 ),
inference(resolution,[],[f182,f36]) ).
fof(f248,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X2,X1,sK10)
| ~ iext(X0,uri_ex_MyOrderedCollection,X1) )
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f245,f34]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK10)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,uri_ex_MyOrderedCollection,X1) )
| spl11_1 ),
inference(resolution,[],[f248,f35]) ).
fof(f258,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,uri_ex_MyOrderedCollection,sK9) )
| spl11_1 ),
inference(resolution,[],[f257,f28]) ).
fof(f259,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK9)
| spl11_1 ),
inference(resolution,[],[f258,f37]) ).
fof(f263,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK6,X3)
| ~ iext(X2,uri_ex_MyOrderedCollection,X1)
| ~ iext(uri_rdf_first,sK6,X2)
| ~ iext(X0,X1,sK9)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
| spl11_1 ),
inference(resolution,[],[f259,f61]) ).
fof(f267,plain,
( ! [X2,X0,X1] :
( ~ iext(X0,uri_ex_MyOrderedCollection,X1)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X2,X1,sK9)
| ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) )
| spl11_1 ),
inference(resolution,[],[f263,f36]) ).
fof(f282,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X2,X1,sK9)
| ~ iext(X0,uri_ex_MyOrderedCollection,X1) )
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f267,f34]) ).
fof(f287,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK9)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,uri_ex_MyOrderedCollection,X1) )
| spl11_1 ),
inference(resolution,[],[f282,f35]) ).
fof(f289,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,uri_ex_MyOrderedCollection,sK8) )
| spl11_1 ),
inference(resolution,[],[f287,f30]) ).
fof(f293,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| spl11_1 ),
inference(resolution,[],[f289,f37]) ).
fof(f299,plain,
( ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
| spl11_1 ),
inference(resolution,[],[f293,f58]) ).
fof(f300,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f299,f32]) ).
fof(f301,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f302,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,X0,uri_ex_Y)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_2 ),
inference(resolution,[],[f52,f95]) ).
fof(f306,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK9)
| spl11_2 ),
inference(resolution,[],[f302,f29]) ).
fof(f312,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK6,X3)
| ~ iext(X2,uri_ex_MyOrderedCollection,X1)
| ~ iext(uri_rdf_first,sK6,X2)
| ~ iext(X0,X1,sK9)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
| spl11_2 ),
inference(resolution,[],[f306,f61]) ).
fof(f333,plain,
( ! [X2,X0,X1] :
( ~ iext(X0,uri_ex_MyOrderedCollection,X1)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X2,X1,sK9)
| ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) )
| spl11_2 ),
inference(resolution,[],[f312,f36]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X2,X1,sK9)
| ~ iext(X0,uri_ex_MyOrderedCollection,X1) )
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f333,f34]) ).
fof(f340,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK9)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,uri_ex_MyOrderedCollection,X1) )
| spl11_2 ),
inference(resolution,[],[f335,f35]) ).
fof(f345,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,uri_ex_MyOrderedCollection,sK8) )
| spl11_2 ),
inference(resolution,[],[f340,f30]) ).
fof(f351,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| spl11_2 ),
inference(resolution,[],[f345,f37]) ).
fof(f366,plain,
( ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
| spl11_2 ),
inference(resolution,[],[f351,f58]) ).
fof(f367,plain,
( $false
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f366,f32]) ).
fof(f368,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f369,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,X0,uri_ex_X)
| ~ iext(sK3,uri_ex_MyOrderedCollection,X0) )
| spl11_3 ),
inference(resolution,[],[f56,f95]) ).
fof(f381,plain,
( ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| spl11_3 ),
inference(resolution,[],[f369,f31]) ).
fof(f391,plain,
( ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
| spl11_3 ),
inference(resolution,[],[f381,f58]) ).
fof(f392,plain,
( $false
| spl11_3 ),
inference(forward_subsumption_resolution,[],[f391,f32]) ).
fof(f393,plain,
spl11_3,
inference(avatar_contradiction_clause,[],[f392]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(sat_conversion,[],[f57]) ).
cnf(s17,plain,
spl11_1,
inference(sat_conversion,[],[f301]) ).
cnf(s20,plain,
spl11_2,
inference(sat_conversion,[],[f368]) ).
cnf(s24,plain,
spl11_3,
inference(sat_conversion,[],[f393]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s1,s24,s20,s17]) ).
fof(f394,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n004.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 07:04:52 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.31 % (168252)Detected formulas, will run a generic FOF schedule.
% 2.72/1.31 % (168261)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1356225814:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.31 % (168261)Refutation not found, incomplete strategy
% 2.72/1.31 % (168261)------------------------------
% 2.72/1.31 % (168261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.31 % (168261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.31 % (168261)CaDiCaL version: 2.1.3
% 2.72/1.31 % (168261)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.31 % (168261)Time elapsed: 0.0000 s
% 2.72/1.31 % (168261)Peak memory usage: 86 MB
% 2.72/1.31 % (168260)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=999336207:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.31 % (168257)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=731733906:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.31 % (168259)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2959390047:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.31 % (168258)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4164906514:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.31 % (168260)Refutation not found, incomplete strategy
% 2.72/1.31 % (168260)------------------------------
% 2.72/1.31 % (168260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.31 % (168260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.31 % (168260)CaDiCaL version: 2.1.3
% 2.72/1.31 % (168260)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.31 % (168260)Time elapsed: 0.0000 s
% 2.72/1.31 % (168260)Peak memory usage: 86 MB
% 2.72/1.31 % (168263)dis-21_1_sil=8000:lcm=predicate:random_seed=4130577374:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.72/1.31 % (168262)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=28121315:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.31 % (168262)First to succeed.
% 2.72/1.31 % (168262)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-168252"
% 2.72/1.31 % (168263)Instruction limit reached!
% 2.72/1.31 % (168263)------------------------------
% 2.72/1.31 % (168263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.31 % (168263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.31 % (168263)CaDiCaL version: 2.1.3
% 2.72/1.31 % (168263)Termination reason: Instruction limit
% 2.72/1.31 % (168263)Termination phase: Saturation
% 2.72/1.31 % (168263)Time elapsed: 0.067 s
% 2.72/1.31 % (168263)Peak memory usage: 89 MB
% 2.72/1.31 % (168263)Instructions burned: 129 (million)
% 2.72/1.31 % (168261)------------------------------
% 2.72/1.31 % (168261)------------------------------
% 2.72/1.31 % (168272)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3672506760:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.72/1.31 % (168272)Also succeeded, but the first one will report.
% 2.72/1.31 % (168271)lrs+10_1_sil=8000:sp=occurrence:random_seed=1453474380:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.72/1.31 % (168271)Also succeeded, but the first one will report.
% 2.72/1.31 % (168260)------------------------------
% 2.72/1.31 % (168260)------------------------------
% 2.72/1.31 % (168262)Refutation found. Thanks to Tanya!
% 2.72/1.31 % SZS status Theorem for theBenchmark
% 2.72/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.50 % (168262)------------------------------
% 0.19/1.50 % (168262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.50 % (168262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.50 % (168262)CaDiCaL version: 2.1.3
% 0.19/1.50 % (168262)Termination reason: Refutation
% 0.19/1.50 % (168262)Time elapsed: 0.023 s
% 0.19/1.50 % (168262)Peak memory usage: 90 MB
% 0.19/1.50 % (168262)Instructions burned: 34 (million)
% 0.19/1.50 % (168262)------------------------------
% 0.19/1.50 % (168262)------------------------------
% 0.19/1.50 % (168252)Success in time 0.44 s
% 0.19/1.50 % Vampire exiting
%------------------------------------------------------------------------------