%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 : Thu Sep 24 02:37:09 PM UTC 2026
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 21 unt; 7 def)
% Number of atoms : 355 ( 0 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 440 ( 168 ~; 169 |; 90 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 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; 0-4 aty)
% Number of variables : 148 ( 126 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P,Q] :
( iext(uri_rdfs_subPropertyOf,P,Q)
=> ( ! [X,Y] :
( iext(P,X,Y)
=> iext(Q,X,Y) )
& ip(Q)
& ip(P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,P1) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2] :
( ( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
=> iext(P,Y0,Y2) )
& ip(P2)
& ip(P1)
& ip(P) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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/sandbox2/benchmark/theBenchmark.p') ).
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,
? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :
( iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [P,Q] :
( ( ! [X,Y] :
( iext(Q,X,Y)
| ~ iext(P,X,Y) )
& ip(Q)
& ip(P) )
| ~ iext(uri_rdfs_subPropertyOf,P,Q) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [P,S1,P1,S2,P2] :
( ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2] :
( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [P,S1,P1,S2,P2] :
( ( ( ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ( ! [Y0,Y1,Y2] :
( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [S1,P1,P2] :
( ( ! [P] :
( ? [Y0,Y2] :
( ~ iext(P,Y0,Y2)
& ? [Y1] :
( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) ) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ! [P] :
( ( ! [Y0,Y2] :
( iext(P,Y0,Y2)
| ! [Y1] :
( ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) ) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f13,plain,
! [S1,P1,P2] :
( ( ! [P] :
( ( ~ iext(P,sK0_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))
& iext(P2,sK2_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))
& iext(P1,sK0_skl(P,P2,P1,S1),sK2_skl(P,P2,P1,S1)) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ! [P] :
( ( ! [Y0,Y2] :
( iext(P,Y0,Y2)
| ! [Y1] :
( ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) ) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y0,sK0_skl(P,P2,P1,S1)),skolemize(Y2,sK1_skl(P,P2,P1,S1)),skolemize(Y1,sK2_skl(P,P2,P1,S1))],[f12]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(X4,X5,X7)
| ~ iext(X3,X6,X7)
| ~ iext(X1,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f21,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(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f22,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,[status(thm)],[f21]) ).
fof(f23,plain,
? [BNODE_l33] :
( iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& ? [BNODE_l32] :
( iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& ? [BNODE_l31] :
( iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& ? [BNODE_l22] :
( iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& ? [BNODE_l21] :
( iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& ? [BNODE_pL] :
( iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& ? [BNODE_l12] :
( iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& ? [BNODE_l11] :
( iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f24,plain,
( iext(uri_rdf_rest,sK3_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK3_skl,uri_ex_Z)
& iext(uri_rdf_rest,sK4_skl,sK3_skl)
& iext(uri_rdf_first,sK4_skl,uri_ex_Y)
& iext(uri_rdf_rest,sK5_skl,sK4_skl)
& iext(uri_rdf_first,sK5_skl,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK5_skl)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK6_skl,uri_rdf_rest)
& iext(uri_rdf_rest,sK7_skl,sK6_skl)
& iext(uri_rdf_first,sK7_skl,sK8_skl)
& iext(uri_owl_propertyChainAxiom,sK8_skl,sK7_skl)
& iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK9_skl,uri_rdf_first)
& iext(uri_rdf_rest,sK10_skl,sK9_skl)
& iext(uri_rdf_first,sK10_skl,sK8_skl)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10_skl)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK8_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(BNODE_l33,sK3_skl),skolemize(BNODE_l32,sK4_skl),skolemize(BNODE_l31,sK5_skl),skolemize(BNODE_l22,sK6_skl),skolemize(BNODE_l21,sK7_skl),skolemize(BNODE_pL,sK8_skl),skolemize(BNODE_l12,sK9_skl),skolemize(BNODE_l11,sK10_skl)],[f23]) ).
fof(f25,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK8_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f27,plain,
iext(uri_rdf_first,sK10_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f28,plain,
iext(uri_rdf_rest,sK10_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f29,plain,
iext(uri_rdf_first,sK9_skl,uri_rdf_first),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f30,plain,
iext(uri_rdf_rest,sK9_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f31,plain,
iext(uri_owl_propertyChainAxiom,sK8_skl,sK7_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f32,plain,
iext(uri_rdf_first,sK7_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f33,plain,
iext(uri_rdf_rest,sK7_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f34,plain,
iext(uri_rdf_first,sK6_skl,uri_rdf_rest),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f35,plain,
iext(uri_rdf_rest,sK6_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f37,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK5_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f38,plain,
iext(uri_rdf_first,sK5_skl,uri_ex_X),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f39,plain,
iext(uri_rdf_rest,sK5_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f40,plain,
iext(uri_rdf_first,sK4_skl,uri_ex_Y),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f41,plain,
iext(uri_rdf_rest,sK4_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f42,plain,
iext(uri_rdf_first,sK3_skl,uri_ex_Z),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f44,definition,
( sQ0_spl
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( sQ0_spl
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,definition,
( sQ1_spl
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f49,plain,
( sQ1_spl
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,definition,
( sQ2_spl
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( sQ2_spl
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f44,f47,f50]) ).
fof(f56,plain,
! [X0,X1] :
( iext(sK8_skl,X0,X1)
| ~ iext(uri_skos_memberList,X0,X1) ),
inference(resolution,[status(thm)],[f9,f25]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5] :
( iext(sK8_skl,X3,X5)
| ~ iext(X2,X4,X5)
| ~ iext(X0,X3,X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK7_skl,X1)
| ~ iext(uri_rdf_first,sK7_skl,X0) ),
inference(resolution,[status(thm)],[f17,f31]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5] :
( iext(uri_skos_member,X3,X5)
| ~ iext(X2,X4,X5)
| ~ iext(X0,X3,X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK10_skl,X1)
| ~ iext(uri_rdf_first,sK10_skl,X0) ),
inference(resolution,[status(thm)],[f17,f26]) ).
fof(f136,plain,
iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl),
inference(resolution,[status(thm)],[f56,f37]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( iext(sK8_skl,X2,X4)
| ~ iext(X1,X3,X4)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK6_skl,X1)
| ~ iext(uri_rdf_first,sK7_skl,X0) ),
inference(resolution,[status(thm)],[f126,f33]) ).
fof(f247,definition,
! [X0,X1,X2,X3,X4] :
( sQ34_spl
<=> ( iext(sK8_skl,X2,X4)
| ~ iext(X1,X3,X4)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdf_first,sK6_skl,X1)
| ~ iext(uri_rdf_first,sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| iext(sK8_skl,X2,X4)
| ~ iext(X1,X3,X4)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdf_first,sK6_skl,X1)
| ~ iext(uri_rdf_first,sK7_skl,X0) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ35_spl
<=> iext(uri_rdf_rest,sK6_skl,uri_rdf_nil) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( sQ35_spl
| ~ iext(uri_rdf_rest,sK6_skl,uri_rdf_nil) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( ~ sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f246,f247,f250]) ).
fof(f254,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f252,f35]) ).
fof(f255,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f254]) ).
fof(f256,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| iext(sK8_skl,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(sK8_skl,X1,X2)
| ~ iext(uri_rdf_first,sK6_skl,X0) ),
inference(resolution,[status(thm)],[f248,f32]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| iext(sK8_skl,X0,X2)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(sK8_skl,X0,X1) ),
inference(resolution,[status(thm)],[f256,f34]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4] :
( iext(uri_skos_member,X2,X4)
| ~ iext(X1,X3,X4)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK9_skl,X1)
| ~ iext(uri_rdf_first,sK10_skl,X0) ),
inference(resolution,[status(thm)],[f127,f28]) ).
fof(f269,definition,
! [X0,X1,X2,X3,X4] :
( sQ38_spl
<=> ( iext(uri_skos_member,X2,X4)
| ~ iext(X1,X3,X4)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdf_first,sK9_skl,X1)
| ~ iext(uri_rdf_first,sK10_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ38_spl
| iext(uri_skos_member,X2,X4)
| ~ iext(X1,X3,X4)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdf_first,sK9_skl,X1)
| ~ iext(uri_rdf_first,sK10_skl,X0) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ39_spl
<=> iext(uri_rdf_rest,sK9_skl,uri_rdf_nil) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( sQ39_spl
| ~ iext(uri_rdf_rest,sK9_skl,uri_rdf_nil) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f268,f269,f272]) ).
fof(f276,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f274,f30]) ).
fof(f277,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f276]) ).
fof(f278,plain,
! [X0,X1,X2,X3] :
( ~ sQ38_spl
| iext(uri_skos_member,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(sK8_skl,X1,X2)
| ~ iext(uri_rdf_first,sK9_skl,X0) ),
inference(resolution,[status(thm)],[f270,f27]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| iext(uri_skos_member,X0,X2)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(sK8_skl,X0,X1) ),
inference(resolution,[status(thm)],[f278,f29]) ).
fof(f286,plain,
! [X0] :
( sQ2_spl
| ~ sQ38_spl
| ~ iext(uri_rdf_first,X0,uri_ex_Z)
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[status(thm)],[f279,f52]) ).
fof(f297,plain,
( sQ2_spl
| ~ sQ38_spl
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,sK3_skl) ),
inference(resolution,[status(thm)],[f286,f42]) ).
fof(f298,plain,
! [X0] :
( ~ sQ34_spl
| sQ2_spl
| ~ sQ38_spl
| ~ iext(uri_rdf_rest,X0,sK3_skl)
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[status(thm)],[f297,f257]) ).
fof(f299,plain,
( ~ sQ34_spl
| sQ2_spl
| ~ sQ38_spl
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,sK4_skl) ),
inference(resolution,[status(thm)],[f298,f41]) ).
fof(f300,plain,
! [X0] :
( ~ sQ34_spl
| sQ2_spl
| ~ sQ38_spl
| ~ iext(uri_rdf_rest,X0,sK4_skl)
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[status(thm)],[f299,f257]) ).
fof(f301,plain,
( ~ sQ34_spl
| sQ2_spl
| ~ sQ38_spl
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl) ),
inference(resolution,[status(thm)],[f300,f39]) ).
fof(f302,plain,
( ~ sQ34_spl
| sQ2_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f301,f136]) ).
fof(f303,plain,
( ~ sQ34_spl
| sQ2_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f304,plain,
! [X0] :
( ~ sQ38_spl
| sQ0_spl
| ~ iext(uri_rdf_first,X0,uri_ex_X)
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[status(thm)],[f46,f279]) ).
fof(f305,plain,
( ~ sQ38_spl
| sQ0_spl
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl) ),
inference(resolution,[status(thm)],[f304,f38]) ).
fof(f306,plain,
( ~ sQ38_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f136]) ).
fof(f307,plain,
( ~ sQ38_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f306]) ).
fof(f308,plain,
! [X0] :
( ~ sQ38_spl
| sQ1_spl
| ~ iext(uri_rdf_first,X0,uri_ex_Y)
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[status(thm)],[f49,f279]) ).
fof(f309,plain,
( ~ sQ38_spl
| sQ1_spl
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,sK4_skl) ),
inference(resolution,[status(thm)],[f308,f40]) ).
fof(f310,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ38_spl
| sQ1_spl
| ~ iext(uri_rdf_rest,X0,sK4_skl)
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[status(thm)],[f309,f257]) ).
fof(f311,plain,
( ~ sQ34_spl
| ~ sQ38_spl
| sQ1_spl
| ~ iext(sK8_skl,uri_ex_MyOrderedCollection,sK5_skl) ),
inference(resolution,[status(thm)],[f310,f39]) ).
fof(f312,plain,
( ~ sQ34_spl
| ~ sQ38_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f136]) ).
fof(f313,plain,
( ~ sQ34_spl
| ~ sQ38_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f312]) ).
fof(f314,plain,
$false,
inference(sat_refutation,[status(thm)],[f53,f253,f255,f275,f277,f303,f307,f313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n011.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 07:41:11 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.60 % Elapsed time: 0.121695 seconds
% 0.27/0.60 % CPU time: 0.255913 seconds
% 0.27/0.60 % Total memory used: 10.098 MB
% 0.27/0.60 % Net memory used: 9.892 MB
%------------------------------------------------------------------------------