TSTP Solution File: SWB009+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB009+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 : n031.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 20:01:51 EDT 2023
% Result : Theorem 0.62s 0.76s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 86
% Syntax : Number of formulae : 108 ( 8 unt; 82 typ; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 80 ( 32 ~; 28 |; 17 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 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 : 71 ( 71 usr; 54 con; 0-7 aty)
% Number of variables : 38 ( 0 sgn; 15 !; 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_p: $i ).
tff(decl_81,type,
uri_ex_s: $i ).
tff(decl_82,type,
uri_ex_c: $i ).
tff(decl_83,type,
uri_owl_ObjectProperty: $i ).
tff(decl_84,type,
uri_owl_Class: $i ).
tff(decl_85,type,
esk1_1: $i > $i ).
tff(decl_86,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk3_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk4_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk5_1: $i > $i ).
tff(decl_90,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk7_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk8_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk9_0: $i ).
tff(decl_94,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk19_0: $i ).
fof(owl_restrict_somevaluesfrom,axiom,
! [X1,X11,X2] :
( ( iext(uri_owl_someValuesFrom,X1,X2)
& iext(uri_owl_onProperty,X1,X11) )
=> ! [X3] :
( icext(X1,X3)
<=> ? [X10] :
( iext(X11,X3,X10)
& icext(X2,X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_restrict_somevaluesfrom) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [X22] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,X22)
& iext(uri_rdf_type,X22,uri_owl_Restriction)
& iext(uri_owl_onProperty,X22,uri_ex_p)
& iext(uri_owl_someValuesFrom,X22,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
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(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [X21] :
( iext(uri_ex_p,uri_ex_s,X21)
& iext(uri_rdf_type,X21,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(c_0_4,plain,
! [X174,X175,X176,X177,X179,X180] :
( ( iext(X175,X177,esk18_4(X174,X175,X176,X177))
| ~ icext(X174,X177)
| ~ iext(uri_owl_someValuesFrom,X174,X176)
| ~ iext(uri_owl_onProperty,X174,X175) )
& ( icext(X176,esk18_4(X174,X175,X176,X177))
| ~ icext(X174,X177)
| ~ iext(uri_owl_someValuesFrom,X174,X176)
| ~ iext(uri_owl_onProperty,X174,X175) )
& ( ~ iext(X175,X179,X180)
| ~ icext(X176,X180)
| icext(X174,X179)
| ~ iext(uri_owl_someValuesFrom,X174,X176)
| ~ iext(uri_owl_onProperty,X174,X175) ) ),
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_restrict_somevaluesfrom])])])])])]) ).
fof(c_0_5,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,esk19_0)
& iext(uri_rdf_type,esk19_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk19_0,uri_ex_p)
& iext(uri_owl_someValuesFrom,esk19_0,uri_ex_c) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).
fof(c_0_6,plain,
! [X182,X183] :
( ( ~ iext(uri_rdf_type,X182,X183)
| icext(X183,X182) )
& ( ~ icext(X183,X182)
| iext(uri_rdf_type,X182,X183) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_7,plain,
( icext(X1,esk18_4(X2,X3,X1,X4))
| ~ icext(X2,X4)
| ~ iext(uri_owl_someValuesFrom,X2,X1)
| ~ iext(uri_owl_onProperty,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
iext(uri_owl_onProperty,esk19_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_rdf_type,uri_ex_s,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( icext(X1,esk18_4(esk19_0,uri_ex_p,X1,X2))
| ~ icext(esk19_0,X2)
| ~ iext(uri_owl_someValuesFrom,esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
icext(esk19_0,uri_ex_s),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,negated_conjecture,
~ ? [X21] :
( iext(uri_ex_p,uri_ex_s,X21)
& iext(uri_rdf_type,X21,uri_ex_c) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).
cnf(c_0_14,plain,
( icext(X1,esk18_4(esk19_0,uri_ex_p,X1,uri_ex_s))
| ~ iext(uri_owl_someValuesFrom,esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
iext(uri_owl_someValuesFrom,esk19_0,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( iext(X1,X2,esk18_4(X3,X1,X4,X2))
| ~ icext(X3,X2)
| ~ iext(uri_owl_someValuesFrom,X3,X4)
| ~ iext(uri_owl_onProperty,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_17,negated_conjecture,
! [X218] :
( ~ iext(uri_ex_p,uri_ex_s,X218)
| ~ iext(uri_rdf_type,X218,uri_ex_c) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_18,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
icext(uri_ex_c,esk18_4(esk19_0,uri_ex_p,uri_ex_c,uri_ex_s)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( iext(uri_ex_p,X1,esk18_4(esk19_0,uri_ex_p,X2,X1))
| ~ icext(esk19_0,X1)
| ~ iext(uri_owl_someValuesFrom,esk19_0,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_21,negated_conjecture,
( ~ iext(uri_ex_p,uri_ex_s,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_c) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
iext(uri_rdf_type,esk18_4(esk19_0,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( iext(uri_ex_p,uri_ex_s,esk18_4(esk19_0,uri_ex_p,X1,uri_ex_s))
| ~ iext(uri_owl_someValuesFrom,esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_24,negated_conjecture,
~ iext(uri_ex_p,uri_ex_s,esk18_4(esk19_0,uri_ex_p,uri_ex_c,uri_ex_s)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWB009+3 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 07:56:54 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.62 start to proof: theBenchmark
% 0.62/0.76 % Version : CSE_E---1.5
% 0.62/0.76 % Problem : theBenchmark.p
% 0.62/0.76 % Proof found
% 0.62/0.76 % SZS status Theorem for theBenchmark.p
% 0.62/0.76 % SZS output start Proof
% See solution above
% 0.62/0.77 % Total time : 0.127000 s
% 0.62/0.77 % SZS output end Proof
% 0.62/0.77 % Total time : 0.133000 s
%------------------------------------------------------------------------------