%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 : Fri Sep 25 03:04:29 PM UTC 2026
% Result : Theorem 2.16s 1.29s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 76 ( 35 unt; 0 def)
% Number of atoms : 383 ( 0 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 530 ( 223 ~; 219 |; 81 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 162 ( 0 sgn 145 !; 17 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
fof(f2,axiom,
! [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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
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/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
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,[status(cth)],[f3]) ).
fof(f5,axiom,
? [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(f6,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ! [X2,X3] :
( ~ iext(X0,X2,X3)
| iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,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(ennf_transformation,[],[f2]) ).
fof(f8,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(flattening,[],[f7]) ).
fof(f9,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(f10,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) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f11,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) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(flattening,[],[f10]) ).
fof(f12,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)
| ( ! [X8,X9,X10] :
( ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(rectify,[],[f11]) ).
fof(f13,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)
| ( ! [X8,X9,X10] :
( ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ( iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4))
& ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4)) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
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_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(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_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)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,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,[],[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]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X3,X1,X2)
| ~ iext(uri_rdfs_subPropertyOf,X0,X3)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_59,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,[],[f25]) ).
tcf(c_60,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3),
inference(cnf_transformation,[],[f44]) ).
tcf(c_61,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4),
inference(cnf_transformation,[],[f43]) ).
tcf(c_62,plain,
iext(uri_rdf_first,sK4,sK3),
inference(cnf_transformation,[],[f42]) ).
tcf(c_63,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f41]) ).
tcf(c_64,plain,
iext(uri_rdf_first,sK5,uri_rdf_first),
inference(cnf_transformation,[],[f40]) ).
tcf(c_65,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f39]) ).
tcf(c_66,plain,
iext(uri_owl_propertyChainAxiom,sK3,sK6),
inference(cnf_transformation,[],[f38]) ).
tcf(c_67,plain,
iext(uri_rdf_first,sK6,sK3),
inference(cnf_transformation,[],[f37]) ).
tcf(c_68,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(cnf_transformation,[],[f36]) ).
tcf(c_69,plain,
iext(uri_rdf_first,sK7,uri_rdf_rest),
inference(cnf_transformation,[],[f35]) ).
tcf(c_70,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f34]) ).
tcf(c_72,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8),
inference(cnf_transformation,[],[f32]) ).
tcf(c_73,plain,
iext(uri_rdf_first,sK8,uri_ex_X),
inference(cnf_transformation,[],[f31]) ).
tcf(c_74,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f30]) ).
tcf(c_75,plain,
iext(uri_rdf_first,sK9,uri_ex_Y),
inference(cnf_transformation,[],[f29]) ).
tcf(c_76,plain,
iext(uri_rdf_rest,sK9,sK10),
inference(cnf_transformation,[],[f28]) ).
tcf(c_77,plain,
iext(uri_rdf_first,sK10,uri_ex_Z),
inference(cnf_transformation,[],[f27]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] :
( iext(sK3,X0,X1)
| ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3)
| ~ iext(uri_skos_memberList,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,sK5)
| ~ iext(uri_rdf_first,sK5,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,sK7)
| ~ iext(uri_rdf_first,sK7,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK5,X3)
| ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,sK4)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( iext(X3,X1,X5)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X4,sK7)
| ~ iext(uri_rdf_rest,X2,X5)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(X4,X3,X2)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_owl_propertyChainAxiom,X4,sK4)
| ~ iext(sK3,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(X4,X1,X3)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X4,sK6)
| ~ iext(uri_rdf_rest,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(uri_skos_member,X3,X2)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(sK3,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(sK3,X1,X3)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_owl_propertyChainAxiom,sK3,sK6)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_rest,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_343]) ).
tcf(c_703,plain,
( iext(sK3,uri_ex_MyOrderedCollection,sK8)
| ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
| ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(sK3,X2,X1)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK6,sK3)
| ~ iext(uri_owl_propertyChainAxiom,sK3,sK6)
| ~ iext(sK3,X2,X0)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_761,plain,
! [X0: $i,X1: $i] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,X1)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_828,plain,
! [X0: $i] :
( iext(sK3,X0,sK9)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK6,sK3)
| ~ iext(uri_owl_propertyChainAxiom,sK3,sK6)
| ~ iext(sK3,X0,sK8) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_830,plain,
! [X0: $i] :
( iext(sK3,X0,sK10)
| ~ iext(uri_rdf_rest,sK9,sK10)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK6,sK3)
| ~ iext(uri_owl_propertyChainAxiom,sK3,sK6)
| ~ iext(sK3,X0,sK9) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_1037,plain,
( iext(sK3,uri_ex_MyOrderedCollection,sK9)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK6,sK3)
| ~ iext(uri_owl_propertyChainAxiom,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_828]) ).
tcf(c_1038,plain,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK8)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK8,uri_ex_X)
| ~ iext(uri_rdf_first,sK5,uri_rdf_first)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4) ),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_1481,plain,
! [X0: $i,X1: $i] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,X1)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK9)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(X0,sK9,X1) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_1483,plain,
( iext(sK3,uri_ex_MyOrderedCollection,sK10)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK9)
| ~ iext(uri_rdf_rest,sK9,sK10)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_first,sK7,uri_rdf_rest)
| ~ iext(uri_rdf_first,sK6,sK3)
| ~ iext(uri_owl_propertyChainAxiom,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_830]) ).
tcf(c_2051,plain,
! [X0: $i,X1: $i] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,X1)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK10)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(X0,sK10,X1) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_2123,plain,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK9)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK9,uri_ex_Y)
| ~ iext(uri_rdf_first,sK5,uri_rdf_first)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4) ),
inference(instantiation,[status(thm)],[c_1481]) ).
tcf(c_4343,plain,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(sK3,uri_ex_MyOrderedCollection,sK10)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_first,sK10,uri_ex_Z)
| ~ iext(uri_rdf_first,sK5,uri_rdf_first)
| ~ iext(uri_rdf_first,sK4,sK3)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4) ),
inference(instantiation,[status(thm)],[c_2051]) ).
tcf(c_4344,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4343,c_2123,c_1483,c_1038,c_1037,c_703,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66,c_67,c_68,c_69,c_70,c_72,c_73,c_74,c_75,c_76,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 15:34:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.16/1.29 % SZS status Started for theBenchmark.p
% 2.16/1.29 % SZS status Theorem for theBenchmark.p
% 2.16/1.29
% 2.16/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.16/1.29
% 2.16/1.29 % ------ iProver source info
% 2.16/1.29
% 2.16/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.16/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.16/1.29 % git: non_committed_changes: false
% 2.16/1.29
% 2.16/1.29 % ------ Parsing...
% 2.16/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.16/1.29
% 2.16/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.16/1.29
% 2.16/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.16/1.29 % ------ Proving...
% 2.16/1.29 % ------ Problem Properties
% 2.16/1.29
% 2.16/1.29 %
% 2.16/1.29 % clauses 30
% 2.16/1.29 % conjectures 1
% 2.16/1.29 % EPR 27
% 2.16/1.29 % Horn 28
% 2.16/1.29 % unary 19
% 2.16/1.29 % binary 2
% 2.16/1.29 % lits 82
% 2.16/1.29 % lits eq 0
% 2.16/1.29 % fd_pure 0
% 2.16/1.29 % fd_pseudo 0
% 2.16/1.29 % fd_cond 0
% 2.16/1.29 % fd_pseudo_cond 0
% 2.16/1.29 % AC symbols 0
% 2.16/1.29
% 2.16/1.29 % ------ Schedule dynamic 5 is on
% 2.16/1.29
% 2.16/1.29 % ------ no equalities: superposition off
% 2.16/1.29
% 2.16/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.16/1.29
% 2.16/1.29
% 2.16/1.29 % ------
% 2.16/1.29 % Current options:
% 2.16/1.29 % ------
% 2.16/1.29
% 2.16/1.29
% 2.16/1.29 %
% 2.16/1.29
% 2.16/1.29 % ------ Proving...
% 2.16/1.29 %
% 2.16/1.29
% 2.16/1.29 % SZS status Theorem for theBenchmark.p
% 2.16/1.29
% 2.16/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.16/1.29
% 2.16/1.29
%------------------------------------------------------------------------------