%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /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 : Sun Sep 27 08:51:33 AM UTC 2026
% Result : Theorem 9.09s 1.65s
% Output : CNFRefutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 67 ( 25 unt; 0 def)
% Number of atoms : 257 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 312 ( 122 ~; 118 |; 67 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% Number of variables : 157 ( 0 sgn 12 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_subpropertyof_main,axiom,
! [P,Q] :
( iext(uri_rdfs_subPropertyOf,P,Q)
=> ( ! [X,Y] :
( iext(P,X,Y)
=> iext(Q,X,Y) )
& ip(Q)
& ip(P) ) ),
file('theBenchmark.p',rdfs_subpropertyof_main) ).
fof(owl_chain_002,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('theBenchmark.p',owl_chain_002) ).
fof(testcase_premise_fullish_022_List_Member_Access,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('theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(testcase_conclusion_fullish_022_List_Member_Access,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('theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
fof(testcase_conclusion_fullish_022_List_Member_Access_neg,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(assume_negation,[status(cth)],[testcase_conclusion_fullish_022_List_Member_Access]) ).
cnf(c_7,plain,
( iext(B,C,D)
| ~ iext(A,C,D)
| ~ iext(uri_rdfs_subPropertyOf,A,B) ),
inference(clausify,[status(thm)],[rdfs_subpropertyof_main]) ).
cnf(c_11,plain,
( iext(E,F,V7)
| ~ iext(D,V6,V7)
| ~ iext(B,F,V6)
| ~ iext(uri_owl_propertyChainAxiom,E,A)
| ~ iext(uri_rdf_rest,C,uri_rdf_nil)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(uri_rdf_rest,A,C)
| ~ iext(uri_rdf_first,A,B) ),
inference(clausify,[status(thm)],[owl_chain_002]) ).
fof(nnf_3,plain,
? [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) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_022_List_Member_Access]) ).
fof(sk_testcase_premise_fullish_022_List_Member_Access,plain,
( iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_Z)
& iext(uri_rdf_rest,sK6,sK7)
& iext(uri_rdf_first,sK6,uri_ex_Y)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK5)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,sK4,uri_rdf_nil)
& iext(uri_rdf_first,sK4,uri_rdf_rest)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK3,sK0)
& iext(uri_owl_propertyChainAxiom,sK0,sK3)
& iext(uri_rdf_rest,sK2,uri_rdf_nil)
& iext(uri_rdf_first,sK2,uri_rdf_first)
& iext(uri_rdf_rest,sK1,sK2)
& iext(uri_rdf_first,sK1,sK0)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK1)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(BNODE_pL,sK0),skolemize(BNODE_l11,sK1),skolemize(BNODE_l12,sK2),skolemize(BNODE_l21,sK3),skolemize(BNODE_l22,sK4),skolemize(BNODE_l31,sK5),skolemize(BNODE_l32,sK6),skolemize(BNODE_l33,sK7)],[nnf_3]) ).
cnf(c_15,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK0),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_16,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK1),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_17,plain,
iext(uri_rdf_first,sK1,sK0),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_18,plain,
iext(uri_rdf_rest,sK1,sK2),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_19,plain,
iext(uri_rdf_first,sK2,uri_rdf_first),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_20,plain,
iext(uri_rdf_rest,sK2,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_21,plain,
iext(uri_owl_propertyChainAxiom,sK0,sK3),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_22,plain,
iext(uri_rdf_first,sK3,sK0),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_23,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_24,plain,
iext(uri_rdf_first,sK4,uri_rdf_rest),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_25,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_27,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK5),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_28,plain,
iext(uri_rdf_first,sK5,uri_ex_X),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_29,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_30,plain,
iext(uri_rdf_first,sK6,uri_ex_Y),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_31,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_32,plain,
iext(uri_rdf_first,sK7,uri_ex_Z),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_022_List_Member_Access]) ).
cnf(c_34,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(clausify,[status(thm)],[testcase_conclusion_fullish_022_List_Member_Access_neg]) ).
cnf(c_1549,plain,
( iext(sK0,A,B)
| ~ iext(uri_skos_memberList,A,B) ),
inference(resolve,[status(thm)],[c_7,c_15]) ).
cnf(c_824,plain,
iext(sK0,uri_ex_MyOrderedCollection,sK5),
inference(resolve,[status(thm)],[c_1549,c_27]) ).
cnf(c_1550,plain,
( iext(C,D,F)
| ~ iext(B,E,F)
| ~ iext(sK0,D,E)
| ~ iext(uri_owl_propertyChainAxiom,C,sK3)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,sK3,A) ),
inference(resolve,[status(thm)],[c_11,c_22]) ).
cnf(c_1551,plain,
( iext(B,C,E)
| ~ iext(A,D,E)
| ~ iext(sK0,C,D)
| ~ iext(uri_owl_propertyChainAxiom,B,sK3)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK4,A) ),
inference(resolve,[status(thm)],[c_1550,c_23]) ).
cnf(c_1552,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_rest,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK3)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil) ),
inference(resolve,[status(thm)],[c_1551,c_24]) ).
cnf(c_1553,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_rest,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK3) ),
inference(resolve,[status(thm)],[c_1552,c_25]) ).
cnf(c_1554,plain,
( iext(sK0,A,C)
| ~ iext(uri_rdf_rest,B,C)
| ~ iext(sK0,A,B) ),
inference(resolve,[status(thm)],[c_1553,c_21]) ).
cnf(c_1555,plain,
( iext(sK0,uri_ex_MyOrderedCollection,A)
| ~ iext(uri_rdf_rest,sK5,A) ),
inference(resolve,[status(thm)],[c_1554,c_824]) ).
cnf(c_1444,plain,
iext(sK0,uri_ex_MyOrderedCollection,sK6),
inference(resolve,[status(thm)],[c_1555,c_29]) ).
cnf(c_1556,plain,
( iext(C,D,F)
| ~ iext(B,E,F)
| ~ iext(sK0,D,E)
| ~ iext(uri_owl_propertyChainAxiom,C,sK1)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,sK1,A) ),
inference(resolve,[status(thm)],[c_11,c_17]) ).
cnf(c_1557,plain,
( iext(B,C,E)
| ~ iext(A,D,E)
| ~ iext(sK0,C,D)
| ~ iext(uri_owl_propertyChainAxiom,B,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK2,A) ),
inference(resolve,[status(thm)],[c_1556,c_18]) ).
cnf(c_1558,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil) ),
inference(resolve,[status(thm)],[c_1557,c_19]) ).
cnf(c_1559,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK1) ),
inference(resolve,[status(thm)],[c_1558,c_20]) ).
cnf(c_1560,plain,
( iext(uri_skos_member,A,C)
| ~ iext(uri_rdf_first,B,C)
| ~ iext(sK0,A,B) ),
inference(resolve,[status(thm)],[c_1559,c_16]) ).
cnf(c_1561,plain,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,A)
| ~ iext(uri_rdf_first,sK5,A) ),
inference(resolve,[status(thm)],[c_1560,c_824]) ).
cnf(c_1445,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(resolve,[status(thm)],[c_1561,c_28]) ).
cnf(c_1446,negated_conjecture,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(resolve,[status(thm)],[c_1445,c_34]) ).
cnf(c_1562,plain,
( iext(C,D,F)
| ~ iext(B,E,F)
| ~ iext(sK0,D,E)
| ~ iext(uri_owl_propertyChainAxiom,C,sK3)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,sK3,A) ),
inference(resolve,[status(thm)],[c_11,c_22]) ).
cnf(c_1563,plain,
( iext(B,C,E)
| ~ iext(A,D,E)
| ~ iext(sK0,C,D)
| ~ iext(uri_owl_propertyChainAxiom,B,sK3)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK4,A) ),
inference(resolve,[status(thm)],[c_1562,c_23]) ).
cnf(c_1564,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_rest,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK3)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil) ),
inference(resolve,[status(thm)],[c_1563,c_24]) ).
cnf(c_1565,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_rest,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK3) ),
inference(resolve,[status(thm)],[c_1564,c_25]) ).
cnf(c_1566,plain,
( iext(sK0,A,C)
| ~ iext(uri_rdf_rest,B,C)
| ~ iext(sK0,A,B) ),
inference(resolve,[status(thm)],[c_1565,c_21]) ).
cnf(c_1567,plain,
( iext(sK0,uri_ex_MyOrderedCollection,A)
| ~ iext(uri_rdf_rest,sK6,A) ),
inference(resolve,[status(thm)],[c_1566,c_1444]) ).
cnf(c_1510,plain,
iext(sK0,uri_ex_MyOrderedCollection,sK7),
inference(resolve,[status(thm)],[c_1567,c_31]) ).
cnf(c_1568,plain,
( iext(C,D,F)
| ~ iext(B,E,F)
| ~ iext(sK0,D,E)
| ~ iext(uri_owl_propertyChainAxiom,C,sK1)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,sK1,A) ),
inference(resolve,[status(thm)],[c_11,c_17]) ).
cnf(c_1569,plain,
( iext(B,C,E)
| ~ iext(A,D,E)
| ~ iext(sK0,C,D)
| ~ iext(uri_owl_propertyChainAxiom,B,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK2,A) ),
inference(resolve,[status(thm)],[c_1568,c_18]) ).
cnf(c_1570,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil) ),
inference(resolve,[status(thm)],[c_1569,c_19]) ).
cnf(c_1571,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK1) ),
inference(resolve,[status(thm)],[c_1570,c_20]) ).
cnf(c_1572,plain,
( iext(uri_skos_member,A,C)
| ~ iext(uri_rdf_first,B,C)
| ~ iext(sK0,A,B) ),
inference(resolve,[status(thm)],[c_1571,c_16]) ).
cnf(c_1573,plain,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,A)
| ~ iext(uri_rdf_first,sK6,A) ),
inference(resolve,[status(thm)],[c_1572,c_1444]) ).
cnf(c_1511,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(resolve,[status(thm)],[c_1573,c_30]) ).
cnf(c_1512,negated_conjecture,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(resolve,[status(thm)],[c_1511,c_1446]) ).
cnf(c_1574,plain,
( iext(C,D,F)
| ~ iext(B,E,F)
| ~ iext(sK0,D,E)
| ~ iext(uri_owl_propertyChainAxiom,C,sK1)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,sK1,A) ),
inference(resolve,[status(thm)],[c_11,c_17]) ).
cnf(c_1575,plain,
( iext(B,C,E)
| ~ iext(A,D,E)
| ~ iext(sK0,C,D)
| ~ iext(uri_owl_propertyChainAxiom,B,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK2,A) ),
inference(resolve,[status(thm)],[c_1574,c_18]) ).
cnf(c_1576,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil) ),
inference(resolve,[status(thm)],[c_1575,c_19]) ).
cnf(c_1577,plain,
( iext(A,B,D)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(sK0,B,C)
| ~ iext(uri_owl_propertyChainAxiom,A,sK1) ),
inference(resolve,[status(thm)],[c_1576,c_20]) ).
cnf(c_1578,plain,
( iext(uri_skos_member,A,C)
| ~ iext(uri_rdf_first,B,C)
| ~ iext(sK0,A,B) ),
inference(resolve,[status(thm)],[c_1577,c_16]) ).
cnf(c_1579,plain,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,A)
| ~ iext(uri_rdf_first,sK7,A) ),
inference(resolve,[status(thm)],[c_1578,c_1510]) ).
cnf(c_1580,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(resolve,[status(thm)],[c_1579,c_32]) ).
cnf(c_1548,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1512,c_1580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n011.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 11:48:29 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 421895 was started by sandbox2 on n011,
% 0.18/0.45 % Sat Sep 26 11:48:29 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 9.09/1.65
% 9.09/1.65 % SZS status Theorem for theBenchmark
% 9.09/1.65
% 9.09/1.65 % Proof 1 at 1.10 (+ 0.07) seconds.
% 9.09/1.65 % Length of proof is 32.
% 9.09/1.65 % Level of proof is 6.
% 9.09/1.65 % Maximum clause weight is 37.000.
% 9.09/1.65 % Given clauses 155.
% 9.09/1.65
% 9.09/1.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------