TSTP Solution File: SWB029+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB029+3 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 : Thu Aug 31 20:02:08 EDT 2023
% Result : Theorem 0.19s 0.78s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 88
% Syntax : Number of formulae : 119 ( 11 unt; 84 typ; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 71 ( 5 avg)
% Number of connectives : 279 ( 116 ~; 116 |; 39 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 68 ( 28 >; 40 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 73 ( 73 usr; 56 con; 0-7 aty)
% Number of variables : 78 ( 8 sgn; 26 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_owl_complementOf: $i ).
tff(decl_23,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
ic: $i > $o ).
tff(decl_25,type,
icext: ( $i * $i ) > $o ).
tff(decl_26,type,
uri_owl_intersectionOf: $i ).
tff(decl_27,type,
uri_rdf_nil: $i ).
tff(decl_28,type,
ir: $i > $o ).
tff(decl_29,type,
uri_rdf_first: $i ).
tff(decl_30,type,
uri_rdf_rest: $i ).
tff(decl_31,type,
uri_owl_unionOf: $i ).
tff(decl_32,type,
uri_owl_Nothing: $i ).
tff(decl_33,type,
uri_owl_Thing: $i ).
tff(decl_34,type,
uri_rdf_type: $i ).
tff(decl_35,type,
uri_rdfs_Class: $i ).
tff(decl_36,type,
idc: $i > $o ).
tff(decl_37,type,
lv: $i > $o ).
tff(decl_38,type,
uri_rdfs_Datatype: $i ).
tff(decl_39,type,
ioap: $i > $o ).
tff(decl_40,type,
ip: $i > $o ).
tff(decl_41,type,
uri_owl_AnnotationProperty: $i ).
tff(decl_42,type,
iodp: $i > $o ).
tff(decl_43,type,
uri_owl_DatatypeProperty: $i ).
tff(decl_44,type,
ioxp: $i > $o ).
tff(decl_45,type,
ix: $i > $o ).
tff(decl_46,type,
uri_owl_OntologyProperty: $i ).
tff(decl_47,type,
uri_rdf_Property: $i ).
tff(decl_48,type,
uri_rdfs_Resource: $i ).
tff(decl_49,type,
uri_owl_Ontology: $i ).
tff(decl_50,type,
uri_rdfs_Literal: $i ).
tff(decl_51,type,
uri_owl_allValuesFrom: $i ).
tff(decl_52,type,
uri_owl_Restriction: $i ).
tff(decl_53,type,
uri_owl_hasValue: $i ).
tff(decl_54,type,
uri_rdf_List: $i ).
tff(decl_55,type,
uri_owl_onProperty: $i ).
tff(decl_56,type,
uri_owl_someValuesFrom: $i ).
tff(decl_57,type,
uri_rdfs_domain: $i ).
tff(decl_58,type,
uri_rdfs_range: $i ).
tff(decl_59,type,
uri_rdfs_subClassOf: $i ).
tff(decl_60,type,
uri_rdfs_subPropertyOf: $i ).
tff(decl_61,type,
uri_rdf__1: $i ).
tff(decl_62,type,
uri_rdf__2: $i ).
tff(decl_63,type,
uri_rdf__3: $i ).
tff(decl_64,type,
uri_rdf_object: $i ).
tff(decl_65,type,
uri_rdf_value: $i ).
tff(decl_66,type,
uri_rdf_subject: $i ).
tff(decl_67,type,
uri_rdfs_comment: $i ).
tff(decl_68,type,
uri_rdfs_isDefinedBy: $i ).
tff(decl_69,type,
uri_rdfs_seeAlso: $i ).
tff(decl_70,type,
uri_rdfs_label: $i ).
tff(decl_71,type,
uri_rdf_Alt: $i ).
tff(decl_72,type,
uri_rdfs_Container: $i ).
tff(decl_73,type,
uri_rdf_Bag: $i ).
tff(decl_74,type,
uri_rdfs_ContainerMembershipProperty: $i ).
tff(decl_75,type,
uri_rdfs_member: $i ).
tff(decl_76,type,
uri_rdfs_Seq: $i ).
tff(decl_77,type,
uri_rdf_XMLLiteral: $i ).
tff(decl_78,type,
uri_rdfs_Statement: $i ).
tff(decl_79,type,
uri_rdf_predicate: $i ).
tff(decl_80,type,
uri_ex_w: $i ).
tff(decl_81,type,
uri_ex_B: $i ).
tff(decl_82,type,
uri_ex_A: $i ).
tff(decl_83,type,
uri_owl_Class: $i ).
tff(decl_84,type,
esk1_1: $i > $i ).
tff(decl_85,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk3_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk4_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk5_1: $i > $i ).
tff(decl_89,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk7_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk8_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk9_0: $i ).
tff(decl_93,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk19_0: $i ).
tff(decl_103,type,
esk20_0: $i ).
tff(decl_104,type,
esk21_0: $i ).
tff(decl_105,type,
esk22_0: $i ).
fof(owl_bool_intersectionof_class_002,axiom,
! [X1,X4,X5,X6,X7] :
( ( iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X1,X4)
<=> ( ic(X1)
& ic(X5)
& ic(X7)
& ! [X3] :
( icext(X1,X3)
<=> ( icext(X5,X3)
& icext(X7,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_bool_intersectionof_class_002) ).
fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
? [X21,X22,X23,X24] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X21)
& iext(uri_owl_intersectionOf,X21,X23)
& iext(uri_rdf_first,X23,uri_ex_A)
& iext(uri_rdf_rest,X23,X24)
& iext(uri_rdf_first,X24,X22)
& iext(uri_rdf_rest,X24,uri_rdf_nil)
& iext(uri_owl_complementOf,X22,uri_ex_A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(rdfs_cext_def,axiom,
! [X3,X2] :
( iext(uri_rdf_type,X3,X2)
<=> icext(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).
fof(owl_bool_complementof_class,axiom,
! [X1,X2] :
( iext(uri_owl_complementOf,X1,X2)
=> ( ic(X1)
& ic(X2)
& ! [X3] :
( icext(X1,X3)
<=> ~ icext(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_bool_complementof_class) ).
fof(c_0_4,plain,
! [X39,X40,X41,X42,X43,X44,X45] :
( ( ic(X39)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ic(X41)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ic(X43)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X41,X44)
| ~ icext(X39,X44)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X43,X44)
| ~ icext(X39,X44)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ~ icext(X41,X45)
| ~ icext(X43,X45)
| icext(X39,X45)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ~ icext(X39,esk3_5(X39,X40,X41,X42,X43))
| ~ icext(X41,esk3_5(X39,X40,X41,X42,X43))
| ~ icext(X43,esk3_5(X39,X40,X41,X42,X43))
| ~ ic(X39)
| ~ ic(X41)
| ~ ic(X43)
| iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X41,esk3_5(X39,X40,X41,X42,X43))
| icext(X39,esk3_5(X39,X40,X41,X42,X43))
| ~ ic(X39)
| ~ ic(X41)
| ~ ic(X43)
| iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X43,esk3_5(X39,X40,X41,X42,X43))
| icext(X39,esk3_5(X39,X40,X41,X42,X43))
| ~ ic(X39)
| ~ ic(X41)
| ~ ic(X43)
| iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_bool_intersectionof_class_002])])])])])]) ).
fof(c_0_5,plain,
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,esk19_0)
& iext(uri_owl_intersectionOf,esk19_0,esk21_0)
& iext(uri_rdf_first,esk21_0,uri_ex_A)
& iext(uri_rdf_rest,esk21_0,esk22_0)
& iext(uri_rdf_first,esk22_0,esk20_0)
& iext(uri_rdf_rest,esk22_0,uri_rdf_nil)
& iext(uri_owl_complementOf,esk20_0,uri_ex_A) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet])]) ).
cnf(c_0_6,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
iext(uri_rdf_rest,esk22_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X1)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk22_0,X4)
| ~ iext(uri_rdf_rest,X5,esk22_0)
| ~ iext(uri_owl_intersectionOf,X3,X5)
| ~ iext(uri_rdf_first,X5,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
iext(uri_rdf_first,esk22_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk22_0,X1)
| ~ iext(uri_rdf_rest,X4,esk22_0)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk22_0)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
iext(uri_rdf_rest,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X184,X185] :
( ( ~ iext(uri_rdf_type,X184,X185)
| icext(X185,X184) )
& ( ~ icext(X185,X184)
| iext(uri_rdf_type,X184,X185) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_15,plain,
( icext(esk20_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,esk22_0)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
fof(c_0_16,plain,
! [X1,X2] :
( iext(uri_owl_complementOf,X1,X2)
=> ( ic(X1)
& ic(X2)
& ! [X3] :
( icext(X1,X3)
<=> ~ icext(X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).
cnf(c_0_17,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,esk21_0)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
iext(uri_owl_intersectionOf,esk19_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
iext(uri_rdf_type,uri_ex_w,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
( icext(esk20_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk21_0)
| ~ iext(uri_rdf_first,esk21_0,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
fof(c_0_22,plain,
! [X25,X26,X27] :
( ( ic(X25)
| ~ iext(uri_owl_complementOf,X25,X26) )
& ( ic(X26)
| ~ iext(uri_owl_complementOf,X25,X26) )
& ( ~ icext(X25,X27)
| ~ icext(X26,X27)
| ~ iext(uri_owl_complementOf,X25,X26) )
& ( icext(X26,X27)
| icext(X25,X27)
| ~ iext(uri_owl_complementOf,X25,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_23,plain,
( icext(X1,X2)
| ~ icext(esk19_0,X2)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
icext(esk19_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( icext(esk20_0,X1)
| ~ icext(esk19_0,X1)
| ~ iext(uri_rdf_first,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_26,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_complementOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
iext(uri_owl_complementOf,esk20_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
( icext(X1,uri_ex_w)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
iext(uri_rdf_first,esk21_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_30,plain,
( icext(esk20_0,uri_ex_w)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_31,plain,
( ~ icext(uri_ex_A,X1)
| ~ icext(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
icext(uri_ex_A,uri_ex_w),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
icext(esk20_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_34,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB029+3 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 06:52:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.78 % Version : CSE_E---1.5
% 0.19/0.78 % Problem : theBenchmark.p
% 0.19/0.78 % Proof found
% 0.19/0.78 % SZS status Theorem for theBenchmark.p
% 0.19/0.78 % SZS output start Proof
% See solution above
% 0.19/0.78 % Total time : 0.205000 s
% 0.19/0.78 % SZS output end Proof
% 0.19/0.78 % Total time : 0.210000 s
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