TSTP Solution File: SWB022+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 : Tue Aug 22 11:00:26 EDT 2023
% Result : Theorem 6.42s 2.57s
% Output : CNFRefutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 30
% Syntax : Number of formulae : 109 ( 32 unt; 26 typ; 0 def)
% Number of atoms : 276 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 370 ( 177 ~; 159 |; 29 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 5 >; 14 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-5 aty)
% Number of variables : 125 (; 117 !; 8 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > ip > #nlpp > uri_skos_memberList > uri_skos_member > uri_skos_OrderedCollection > uri_rdfs_subPropertyOf > uri_rdf_type > uri_rdf_rest > uri_rdf_nil > uri_rdf_first > uri_owl_propertyChainAxiom > uri_ex_Z > uri_ex_Y > uri_ex_X > uri_ex_MyOrderedCollection > #skF_11 > #skF_2 > #skF_7 > #skF_10 > #skF_5 > #skF_6 > #skF_9 > #skF_3 > #skF_1 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_skos_memberList,type,
uri_skos_memberList: $i ).
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff(uri_rdfs_subPropertyOf,type,
uri_rdfs_subPropertyOf: $i ).
tff(uri_rdf_first,type,
uri_rdf_first: $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(uri_ex_Y,type,
uri_ex_Y: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i ) > $i ).
tff(ip,type,
ip: $i > $o ).
tff(uri_skos_member,type,
uri_skos_member: $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(uri_skos_OrderedCollection,type,
uri_skos_OrderedCollection: $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(uri_rdf_rest,type,
uri_rdf_rest: $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(uri_owl_propertyChainAxiom,type,
uri_owl_propertyChainAxiom: $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i ) > $i ).
tff(uri_ex_X,type,
uri_ex_X: $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(uri_ex_Z,type,
uri_ex_Z: $i ).
tff(uri_rdf_nil,type,
uri_rdf_nil: $i ).
tff(uri_ex_MyOrderedCollection,type,
uri_ex_MyOrderedCollection: $i ).
tff(f_102,axiom,
? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :
( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
tff(f_64,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
tff(f_35,axiom,
! [P,Q] :
( iext(uri_rdfs_subPropertyOf,P,Q)
=> ( ip(P)
& ip(Q)
& ! [X,Y] :
( iext(P,X,Y)
=> iext(Q,X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
tff(f_58,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_first,S1,P1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ip(P)
& ip(P1)
& ip(P2)
& ! [Y0,Y1,Y2] :
( ( iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) )
=> iext(P,Y0,Y2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
tff(c_54,plain,
iext(uri_rdf_rest,'#skF_5','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_52,plain,
iext(uri_rdf_first,'#skF_6',uri_rdf_first),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_50,plain,
iext(uri_rdf_rest,'#skF_6',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_22,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(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_61,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_56,plain,
iext(uri_rdf_first,'#skF_5','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_58,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,'#skF_5'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_60,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,'#skF_4'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_36,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,'#skF_9'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_72,plain,
! [Q_25,X_26,Y_27,P_28] :
( iext(Q_25,X_26,Y_27)
| ~ iext(P_28,X_26,Y_27)
| ~ iext(uri_rdfs_subPropertyOf,P_28,Q_25) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_164,plain,
! [Q_56] :
( iext(Q_56,uri_ex_MyOrderedCollection,'#skF_9')
| ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,Q_56) ),
inference(resolution,[status(thm)],[c_36,c_72]) ).
tff(c_167,plain,
iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_9'),
inference(resolution,[status(thm)],[c_60,c_164]) ).
tff(c_34,plain,
iext(uri_rdf_first,'#skF_9',uri_ex_X),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_173,plain,
! [P_61,P2_65,S1_63,P1_59,Y0_66,S2_60,Y2_64,Y1_62] :
( iext(P_61,Y0_66,Y2_64)
| ~ iext(P2_65,Y1_62,Y2_64)
| ~ iext(P1_59,Y0_66,Y1_62)
| ~ iext(uri_owl_propertyChainAxiom,P_61,S1_63)
| ~ iext(uri_rdf_rest,S2_60,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_60,P2_65)
| ~ iext(uri_rdf_rest,S1_63,S2_60)
| ~ iext(uri_rdf_first,S1_63,P1_59) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_458,plain,
! [P_123,S2_122,P1_119,S1_121,Y0_120] :
( iext(P_123,Y0_120,uri_ex_X)
| ~ iext(P1_119,Y0_120,'#skF_9')
| ~ iext(uri_owl_propertyChainAxiom,P_123,S1_121)
| ~ iext(uri_rdf_rest,S2_122,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_122,uri_rdf_first)
| ~ iext(uri_rdf_rest,S1_121,S2_122)
| ~ iext(uri_rdf_first,S1_121,P1_119) ),
inference(resolution,[status(thm)],[c_34,c_173]) ).
tff(c_503,plain,
! [P_135,S1_136,S2_137] :
( iext(P_135,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(uri_owl_propertyChainAxiom,P_135,S1_136)
| ~ iext(uri_rdf_rest,S2_137,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_137,uri_rdf_first)
| ~ iext(uri_rdf_rest,S1_136,S2_137)
| ~ iext(uri_rdf_first,S1_136,'#skF_4') ),
inference(resolution,[status(thm)],[c_167,c_458]) ).
tff(c_513,plain,
! [S2_137] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(uri_rdf_rest,S2_137,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_137,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_137)
| ~ iext(uri_rdf_first,'#skF_5','#skF_4') ),
inference(resolution,[status(thm)],[c_58,c_503]) ).
tff(c_521,plain,
! [S2_137] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(uri_rdf_rest,S2_137,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_137,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_137) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_513]) ).
tff(c_523,plain,
! [S2_138] :
( ~ iext(uri_rdf_rest,S2_138,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_138,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_138) ),
inference(negUnitSimplification,[status(thm)],[c_61,c_521]) ).
tff(c_529,plain,
( ~ iext(uri_rdf_first,'#skF_6',uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5','#skF_6') ),
inference(resolution,[status(thm)],[c_50,c_523]) ).
tff(c_535,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_529]) ).
tff(c_536,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_538,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(splitLeft,[status(thm)],[c_536]) ).
tff(c_44,plain,
iext(uri_rdf_rest,'#skF_7','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_42,plain,
iext(uri_rdf_first,'#skF_8',uri_rdf_rest),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_40,plain,
iext(uri_rdf_rest,'#skF_8',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_46,plain,
iext(uri_rdf_first,'#skF_7','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_48,plain,
iext(uri_owl_propertyChainAxiom,'#skF_4','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_549,plain,
! [Q_143,X_144,Y_145,P_146] :
( iext(Q_143,X_144,Y_145)
| ~ iext(P_146,X_144,Y_145)
| ~ iext(uri_rdfs_subPropertyOf,P_146,Q_143) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_645,plain,
! [Q_175] :
( iext(Q_175,uri_ex_MyOrderedCollection,'#skF_9')
| ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,Q_175) ),
inference(resolution,[status(thm)],[c_36,c_549]) ).
tff(c_648,plain,
iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_9'),
inference(resolution,[status(thm)],[c_60,c_645]) ).
tff(c_32,plain,
iext(uri_rdf_rest,'#skF_9','#skF_10'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_653,plain,
! [P_179,S2_178,Y0_184,S1_181,P2_183,Y2_182,Y1_180,P1_177] :
( iext(P_179,Y0_184,Y2_182)
| ~ iext(P2_183,Y1_180,Y2_182)
| ~ iext(P1_177,Y0_184,Y1_180)
| ~ iext(uri_owl_propertyChainAxiom,P_179,S1_181)
| ~ iext(uri_rdf_rest,S2_178,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_178,P2_183)
| ~ iext(uri_rdf_rest,S1_181,S2_178)
| ~ iext(uri_rdf_first,S1_181,P1_177) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_958,plain,
! [S1_259,P_262,Y0_261,S2_260,P1_263] :
( iext(P_262,Y0_261,'#skF_10')
| ~ iext(P1_263,Y0_261,'#skF_9')
| ~ iext(uri_owl_propertyChainAxiom,P_262,S1_259)
| ~ iext(uri_rdf_rest,S2_260,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_260,uri_rdf_rest)
| ~ iext(uri_rdf_rest,S1_259,S2_260)
| ~ iext(uri_rdf_first,S1_259,P1_263) ),
inference(resolution,[status(thm)],[c_32,c_653]) ).
tff(c_982,plain,
! [P_267,S1_268,S2_269] :
( iext(P_267,uri_ex_MyOrderedCollection,'#skF_10')
| ~ iext(uri_owl_propertyChainAxiom,P_267,S1_268)
| ~ iext(uri_rdf_rest,S2_269,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_269,uri_rdf_rest)
| ~ iext(uri_rdf_rest,S1_268,S2_269)
| ~ iext(uri_rdf_first,S1_268,'#skF_4') ),
inference(resolution,[status(thm)],[c_648,c_958]) ).
tff(c_990,plain,
! [S2_269] :
( iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_10')
| ~ iext(uri_rdf_rest,S2_269,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_269,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_269)
| ~ iext(uri_rdf_first,'#skF_7','#skF_4') ),
inference(resolution,[status(thm)],[c_48,c_982]) ).
tff(c_997,plain,
! [S2_269] :
( iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_10')
| ~ iext(uri_rdf_rest,S2_269,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_269,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_269) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_990]) ).
tff(c_1006,plain,
! [S2_275] :
( ~ iext(uri_rdf_rest,S2_275,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_275,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_275) ),
inference(splitLeft,[status(thm)],[c_997]) ).
tff(c_1008,plain,
( ~ iext(uri_rdf_first,'#skF_8',uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7','#skF_8') ),
inference(resolution,[status(thm)],[c_40,c_1006]) ).
tff(c_1016,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1008]) ).
tff(c_1017,plain,
iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_10'),
inference(splitRight,[status(thm)],[c_997]) ).
tff(c_28,plain,
iext(uri_rdf_rest,'#skF_10','#skF_11'),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_711,plain,
! [P_179,S2_178,Y0_184,S1_181,P1_177] :
( iext(P_179,Y0_184,'#skF_11')
| ~ iext(P1_177,Y0_184,'#skF_10')
| ~ iext(uri_owl_propertyChainAxiom,P_179,S1_181)
| ~ iext(uri_rdf_rest,S2_178,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_178,uri_rdf_rest)
| ~ iext(uri_rdf_rest,S1_181,S2_178)
| ~ iext(uri_rdf_first,S1_181,P1_177) ),
inference(resolution,[status(thm)],[c_28,c_653]) ).
tff(c_1062,plain,
! [P_286,S1_287,S2_288] :
( iext(P_286,uri_ex_MyOrderedCollection,'#skF_11')
| ~ iext(uri_owl_propertyChainAxiom,P_286,S1_287)
| ~ iext(uri_rdf_rest,S2_288,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_288,uri_rdf_rest)
| ~ iext(uri_rdf_rest,S1_287,S2_288)
| ~ iext(uri_rdf_first,S1_287,'#skF_4') ),
inference(resolution,[status(thm)],[c_1017,c_711]) ).
tff(c_1070,plain,
! [S2_288] :
( iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_11')
| ~ iext(uri_rdf_rest,S2_288,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_288,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_288)
| ~ iext(uri_rdf_first,'#skF_7','#skF_4') ),
inference(resolution,[status(thm)],[c_48,c_1062]) ).
tff(c_1077,plain,
! [S2_288] :
( iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_11')
| ~ iext(uri_rdf_rest,S2_288,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_288,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_288) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1070]) ).
tff(c_1083,plain,
! [S2_294] :
( ~ iext(uri_rdf_rest,S2_294,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_294,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_294) ),
inference(splitLeft,[status(thm)],[c_1077]) ).
tff(c_1085,plain,
( ~ iext(uri_rdf_first,'#skF_8',uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7','#skF_8') ),
inference(resolution,[status(thm)],[c_40,c_1083]) ).
tff(c_1093,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1085]) ).
tff(c_1094,plain,
iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_11'),
inference(splitRight,[status(thm)],[c_1077]) ).
tff(c_26,plain,
iext(uri_rdf_first,'#skF_11',uri_ex_Z),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_1102,plain,
! [S1_296,P1_300,Y0_298,P_299,S2_297] :
( iext(P_299,Y0_298,uri_ex_Z)
| ~ iext(P1_300,Y0_298,'#skF_11')
| ~ iext(uri_owl_propertyChainAxiom,P_299,S1_296)
| ~ iext(uri_rdf_rest,S2_297,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_297,uri_rdf_first)
| ~ iext(uri_rdf_rest,S1_296,S2_297)
| ~ iext(uri_rdf_first,S1_296,P1_300) ),
inference(resolution,[status(thm)],[c_26,c_653]) ).
tff(c_1124,plain,
! [P_304,S1_305,S2_306] :
( iext(P_304,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_owl_propertyChainAxiom,P_304,S1_305)
| ~ iext(uri_rdf_rest,S2_306,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_306,uri_rdf_first)
| ~ iext(uri_rdf_rest,S1_305,S2_306)
| ~ iext(uri_rdf_first,S1_305,'#skF_4') ),
inference(resolution,[status(thm)],[c_1094,c_1102]) ).
tff(c_1134,plain,
! [S2_306] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_rdf_rest,S2_306,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_306,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_306)
| ~ iext(uri_rdf_first,'#skF_5','#skF_4') ),
inference(resolution,[status(thm)],[c_58,c_1124]) ).
tff(c_1142,plain,
! [S2_306] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_rdf_rest,S2_306,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_306,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_306) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_1134]) ).
tff(c_1144,plain,
! [S2_307] :
( ~ iext(uri_rdf_rest,S2_307,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_307,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_307) ),
inference(negUnitSimplification,[status(thm)],[c_538,c_1142]) ).
tff(c_1150,plain,
( ~ iext(uri_rdf_first,'#skF_6',uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5','#skF_6') ),
inference(resolution,[status(thm)],[c_50,c_1144]) ).
tff(c_1156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_1150]) ).
tff(c_1157,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(splitRight,[status(thm)],[c_536]) ).
tff(c_1169,plain,
! [Q_312,X_313,Y_314,P_315] :
( iext(Q_312,X_313,Y_314)
| ~ iext(P_315,X_313,Y_314)
| ~ iext(uri_rdfs_subPropertyOf,P_315,Q_312) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_1261,plain,
! [Q_339] :
( iext(Q_339,uri_ex_MyOrderedCollection,'#skF_9')
| ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,Q_339) ),
inference(resolution,[status(thm)],[c_36,c_1169]) ).
tff(c_1264,plain,
iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_9'),
inference(resolution,[status(thm)],[c_60,c_1261]) ).
tff(c_1281,plain,
! [Y1_354,P2_357,P_353,P1_351,S2_352,S1_355,Y0_358,Y2_356] :
( iext(P_353,Y0_358,Y2_356)
| ~ iext(P2_357,Y1_354,Y2_356)
| ~ iext(P1_351,Y0_358,Y1_354)
| ~ iext(uri_owl_propertyChainAxiom,P_353,S1_355)
| ~ iext(uri_rdf_rest,S2_352,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_352,P2_357)
| ~ iext(uri_rdf_rest,S1_355,S2_352)
| ~ iext(uri_rdf_first,S1_355,P1_351) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_1672,plain,
! [P_490,S2_488,S1_487,P1_486,Y0_489] :
( iext(P_490,Y0_489,'#skF_10')
| ~ iext(P1_486,Y0_489,'#skF_9')
| ~ iext(uri_owl_propertyChainAxiom,P_490,S1_487)
| ~ iext(uri_rdf_rest,S2_488,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_488,uri_rdf_rest)
| ~ iext(uri_rdf_rest,S1_487,S2_488)
| ~ iext(uri_rdf_first,S1_487,P1_486) ),
inference(resolution,[status(thm)],[c_32,c_1281]) ).
tff(c_1746,plain,
! [P_508,S1_509,S2_510] :
( iext(P_508,uri_ex_MyOrderedCollection,'#skF_10')
| ~ iext(uri_owl_propertyChainAxiom,P_508,S1_509)
| ~ iext(uri_rdf_rest,S2_510,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_510,uri_rdf_rest)
| ~ iext(uri_rdf_rest,S1_509,S2_510)
| ~ iext(uri_rdf_first,S1_509,'#skF_4') ),
inference(resolution,[status(thm)],[c_1264,c_1672]) ).
tff(c_1754,plain,
! [S2_510] :
( iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_10')
| ~ iext(uri_rdf_rest,S2_510,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_510,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_510)
| ~ iext(uri_rdf_first,'#skF_7','#skF_4') ),
inference(resolution,[status(thm)],[c_48,c_1746]) ).
tff(c_1761,plain,
! [S2_510] :
( iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_10')
| ~ iext(uri_rdf_rest,S2_510,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_510,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_510) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1754]) ).
tff(c_1773,plain,
! [S2_516] :
( ~ iext(uri_rdf_rest,S2_516,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_516,uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7',S2_516) ),
inference(splitLeft,[status(thm)],[c_1761]) ).
tff(c_1775,plain,
( ~ iext(uri_rdf_first,'#skF_8',uri_rdf_rest)
| ~ iext(uri_rdf_rest,'#skF_7','#skF_8') ),
inference(resolution,[status(thm)],[c_40,c_1773]) ).
tff(c_1783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1775]) ).
tff(c_1784,plain,
iext('#skF_4',uri_ex_MyOrderedCollection,'#skF_10'),
inference(splitRight,[status(thm)],[c_1761]) ).
tff(c_30,plain,
iext(uri_rdf_first,'#skF_10',uri_ex_Y),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_2027,plain,
! [S2_574,S1_573,P1_572,P_576,Y0_575] :
( iext(P_576,Y0_575,uri_ex_Y)
| ~ iext(P1_572,Y0_575,'#skF_10')
| ~ iext(uri_owl_propertyChainAxiom,P_576,S1_573)
| ~ iext(uri_rdf_rest,S2_574,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_574,uri_rdf_first)
| ~ iext(uri_rdf_rest,S1_573,S2_574)
| ~ iext(uri_rdf_first,S1_573,P1_572) ),
inference(resolution,[status(thm)],[c_30,c_1281]) ).
tff(c_2075,plain,
! [P_589,S1_590,S2_591] :
( iext(P_589,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_owl_propertyChainAxiom,P_589,S1_590)
| ~ iext(uri_rdf_rest,S2_591,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_591,uri_rdf_first)
| ~ iext(uri_rdf_rest,S1_590,S2_591)
| ~ iext(uri_rdf_first,S1_590,'#skF_4') ),
inference(resolution,[status(thm)],[c_1784,c_2027]) ).
tff(c_2085,plain,
! [S2_591] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_rdf_rest,S2_591,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_591,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_591)
| ~ iext(uri_rdf_first,'#skF_5','#skF_4') ),
inference(resolution,[status(thm)],[c_58,c_2075]) ).
tff(c_2093,plain,
! [S2_591] :
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_rdf_rest,S2_591,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_591,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_591) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_2085]) ).
tff(c_2095,plain,
! [S2_592] :
( ~ iext(uri_rdf_rest,S2_592,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_592,uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5',S2_592) ),
inference(negUnitSimplification,[status(thm)],[c_1157,c_2093]) ).
tff(c_2101,plain,
( ~ iext(uri_rdf_first,'#skF_6',uri_rdf_first)
| ~ iext(uri_rdf_rest,'#skF_5','#skF_6') ),
inference(resolution,[status(thm)],[c_50,c_2095]) ).
tff(c_2107,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_2101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 18:25:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 6.42/2.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.42/2.58
% 6.42/2.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.42/2.62
% 6.42/2.62 Inference rules
% 6.42/2.62 ----------------------
% 6.42/2.62 #Ref : 0
% 6.42/2.62 #Sup : 488
% 6.42/2.62 #Fact : 0
% 6.42/2.62 #Define : 0
% 6.42/2.62 #Split : 57
% 6.42/2.62 #Chain : 0
% 6.42/2.62 #Close : 0
% 6.42/2.62
% 6.42/2.62 Ordering : KBO
% 6.42/2.62
% 6.42/2.62 Simplification rules
% 6.42/2.62 ----------------------
% 6.42/2.62 #Subsume : 77
% 6.42/2.62 #Demod : 69
% 6.42/2.62 #Tautology : 11
% 6.42/2.62 #SimpNegUnit : 22
% 6.42/2.62 #BackRed : 18
% 6.42/2.62
% 6.42/2.62 #Partial instantiations: 0
% 6.42/2.62 #Strategies tried : 1
% 6.42/2.62
% 6.42/2.62 Timing (in seconds)
% 6.42/2.62 ----------------------
% 6.42/2.63 Preprocessing : 0.49
% 6.42/2.63 Parsing : 0.27
% 6.42/2.63 CNF conversion : 0.03
% 6.42/2.63 Main loop : 1.05
% 6.42/2.63 Inferencing : 0.43
% 6.42/2.63 Reduction : 0.27
% 6.42/2.63 Demodulation : 0.19
% 6.42/2.63 BG Simplification : 0.04
% 6.42/2.63 Subsumption : 0.22
% 6.42/2.63 Abstraction : 0.03
% 6.42/2.63 MUC search : 0.00
% 6.42/2.63 Cooper : 0.00
% 6.42/2.63 Total : 1.60
% 6.42/2.63 Index Insertion : 0.00
% 6.42/2.63 Index Deletion : 0.00
% 6.42/2.63 Index Matching : 0.00
% 6.42/2.63 BG Taut test : 0.00
%------------------------------------------------------------------------------