TSTP Solution File: SWB023+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 : 600s
% DateTime : Tue Jul 19 19:19:13 EDT 2022
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 03:37:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.74 # Version: 1.3
% 0.55/0.74 # SZS status Theorem
% 0.55/0.74 # SZS output start CNFRefutation
% 0.55/0.74 fof(owl_eqdis_sameas,axiom,(![X]:(![Y]:(iext(uri_owl_sameAs,X,Y)<=>X=Y))),input).
% 0.55/0.74 fof(c16,axiom,(![X]:(![Y]:((~iext(uri_owl_sameAs,X,Y)|X=Y)&(X!=Y|iext(uri_owl_sameAs,X,Y))))),inference(fof_nnf,status(thm),[owl_eqdis_sameas])).
% 0.55/0.74 fof(c17,axiom,((![X]:(![Y]:(~iext(uri_owl_sameAs,X,Y)|X=Y)))&(![X]:(![Y]:(X!=Y|iext(uri_owl_sameAs,X,Y))))),inference(shift_quantors,status(thm),[c16])).
% 0.55/0.74 fof(c19,axiom,(![X4]:(![X5]:(![X6]:(![X7]:((~iext(uri_owl_sameAs,X4,X5)|X4=X5)&(X6!=X7|iext(uri_owl_sameAs,X6,X7))))))),inference(shift_quantors,status(thm),[fof(c18,axiom,((![X4]:(![X5]:(~iext(uri_owl_sameAs,X4,X5)|X4=X5)))&(![X6]:(![X7]:(X6!=X7|iext(uri_owl_sameAs,X6,X7))))),inference(variable_rename,status(thm),[c17])).])).
% 0.55/0.74 cnf(c21,axiom,X54!=X55|iext(uri_owl_sameAs,X54,X55),inference(split_conjunct,status(thm),[c19])).
% 0.55/0.74 cnf(transitivity,axiom,X30!=X32|X32!=X31|X30=X31,eq_axiom).
% 0.55/0.74 cnf(symmetry,axiom,X27!=X28|X28=X27,eq_axiom).
% 0.55/0.74 fof(testcase_premise_fullish_023_Unique_List_Components,axiom,(?[BNODE_o]:(?[BNODE_l]:((((((iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_w,BNODE_o))&iext(uri_rdf_type,BNODE_o,uri_owl_Class))&iext(uri_owl_oneOf,BNODE_o,BNODE_l))&iext(uri_rdf_first,BNODE_l,uri_ex_u))&iext(uri_rdf_first,BNODE_l,uri_ex_v))&iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)))),input).
% 0.55/0.74 fof(c4,axiom,(?[X2]:(?[X3]:((((((iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_w,X2))&iext(uri_rdf_type,X2,uri_owl_Class))&iext(uri_owl_oneOf,X2,X3))&iext(uri_rdf_first,X3,uri_ex_u))&iext(uri_rdf_first,X3,uri_ex_v))&iext(uri_rdf_rest,X3,uri_rdf_nil)))),inference(variable_rename,status(thm),[testcase_premise_fullish_023_Unique_List_Components])).
% 0.55/0.74 fof(c5,axiom,((((((iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_w,skolem0001))&iext(uri_rdf_type,skolem0001,uri_owl_Class))&iext(uri_owl_oneOf,skolem0001,skolem0002))&iext(uri_rdf_first,skolem0002,uri_ex_u))&iext(uri_rdf_first,skolem0002,uri_ex_v))&iext(uri_rdf_rest,skolem0002,uri_rdf_nil)),inference(skolemize,status(esa),[c4])).
% 0.55/0.74 cnf(c6,axiom,iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),inference(split_conjunct,status(thm),[c5])).
% 0.55/0.74 fof(rdfs_cext_def,axiom,(![X]:(![C]:(iext(uri_rdf_type,X,C)<=>icext(C,X)))),input).
% 0.55/0.74 fof(c44,axiom,(![X]:(![C]:((~iext(uri_rdf_type,X,C)|icext(C,X))&(~icext(C,X)|iext(uri_rdf_type,X,C))))),inference(fof_nnf,status(thm),[rdfs_cext_def])).
% 0.55/0.74 fof(c45,axiom,((![X]:(![C]:(~iext(uri_rdf_type,X,C)|icext(C,X))))&(![X]:(![C]:(~icext(C,X)|iext(uri_rdf_type,X,C))))),inference(shift_quantors,status(thm),[c44])).
% 0.55/0.74 fof(c47,axiom,(![X22]:(![X23]:(![X24]:(![X25]:((~iext(uri_rdf_type,X22,X23)|icext(X23,X22))&(~icext(X25,X24)|iext(uri_rdf_type,X24,X25))))))),inference(shift_quantors,status(thm),[fof(c46,axiom,((![X22]:(![X23]:(~iext(uri_rdf_type,X22,X23)|icext(X23,X22))))&(![X24]:(![X25]:(~icext(X25,X24)|iext(uri_rdf_type,X24,X25))))),inference(variable_rename,status(thm),[c45])).])).
% 0.55/0.74 cnf(c48,axiom,~iext(uri_rdf_type,X58,X59)|icext(X59,X58),inference(split_conjunct,status(thm),[c47])).
% 0.55/0.74 cnf(c64,plain,icext(uri_owl_FunctionalProperty,uri_rdf_first),inference(resolution,status(thm),[c48, c6])).
% 0.55/0.74 cnf(c10,axiom,iext(uri_rdf_first,skolem0002,uri_ex_u),inference(split_conjunct,status(thm),[c5])).
% 0.55/0.74 cnf(c11,axiom,iext(uri_rdf_first,skolem0002,uri_ex_v),inference(split_conjunct,status(thm),[c5])).
% 0.55/0.74 fof(owl_char_functional,axiom,(![P]:(icext(uri_owl_FunctionalProperty,P)<=>(ip(P)&(![X]:(![Y1]:(![Y2]:((iext(P,X,Y1)&iext(P,X,Y2))=>Y1=Y2))))))),input).
% 0.55/0.74 fof(c22,axiom,(![P]:((~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![X]:(![Y1]:(![Y2]:((~iext(P,X,Y1)|~iext(P,X,Y2))|Y1=Y2))))))&((~ip(P)|(?[X]:(?[Y1]:(?[Y2]:((iext(P,X,Y1)&iext(P,X,Y2))&Y1!=Y2)))))|icext(uri_owl_FunctionalProperty,P)))),inference(fof_nnf,status(thm),[owl_char_functional])).
% 0.55/0.74 fof(c23,axiom,((![P]:(~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![X]:(![Y1]:(![Y2]:((~iext(P,X,Y1)|~iext(P,X,Y2))|Y1=Y2)))))))&(![P]:((~ip(P)|(?[X]:(?[Y1]:(?[Y2]:((iext(P,X,Y1)&iext(P,X,Y2))&Y1!=Y2)))))|icext(uri_owl_FunctionalProperty,P)))),inference(shift_quantors,status(thm),[c22])).
% 0.55/0.74 fof(c24,axiom,((![X8]:(~icext(uri_owl_FunctionalProperty,X8)|(ip(X8)&(![X9]:(![X10]:(![X11]:((~iext(X8,X9,X10)|~iext(X8,X9,X11))|X10=X11)))))))&(![X12]:((~ip(X12)|(?[X13]:(?[X14]:(?[X15]:((iext(X12,X13,X14)&iext(X12,X13,X15))&X14!=X15)))))|icext(uri_owl_FunctionalProperty,X12)))),inference(variable_rename,status(thm),[c23])).
% 0.55/0.74 fof(c26,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~icext(uri_owl_FunctionalProperty,X8)|(ip(X8)&((~iext(X8,X9,X10)|~iext(X8,X9,X11))|X10=X11)))&((~ip(X12)|((iext(X12,skolem0003(X12),skolem0004(X12))&iext(X12,skolem0003(X12),skolem0005(X12)))&skolem0004(X12)!=skolem0005(X12)))|icext(uri_owl_FunctionalProperty,X12)))))))),inference(shift_quantors,status(thm),[fof(c25,axiom,((![X8]:(~icext(uri_owl_FunctionalProperty,X8)|(ip(X8)&(![X9]:(![X10]:(![X11]:((~iext(X8,X9,X10)|~iext(X8,X9,X11))|X10=X11)))))))&(![X12]:((~ip(X12)|((iext(X12,skolem0003(X12),skolem0004(X12))&iext(X12,skolem0003(X12),skolem0005(X12)))&skolem0004(X12)!=skolem0005(X12)))|icext(uri_owl_FunctionalProperty,X12)))),inference(skolemize,status(esa),[c24])).])).
% 0.55/0.74 fof(c27,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(((~icext(uri_owl_FunctionalProperty,X8)|ip(X8))&(~icext(uri_owl_FunctionalProperty,X8)|((~iext(X8,X9,X10)|~iext(X8,X9,X11))|X10=X11)))&((((~ip(X12)|iext(X12,skolem0003(X12),skolem0004(X12)))|icext(uri_owl_FunctionalProperty,X12))&((~ip(X12)|iext(X12,skolem0003(X12),skolem0005(X12)))|icext(uri_owl_FunctionalProperty,X12)))&((~ip(X12)|skolem0004(X12)!=skolem0005(X12))|icext(uri_owl_FunctionalProperty,X12))))))))),inference(distribute,status(thm),[c26])).
% 0.55/0.74 cnf(c29,axiom,~icext(uri_owl_FunctionalProperty,X61)|~iext(X61,X60,X62)|~iext(X61,X60,X63)|X62=X63,inference(split_conjunct,status(thm),[c27])).
% 0.55/0.74 cnf(c72,plain,~icext(uri_owl_FunctionalProperty,uri_rdf_first)|~iext(uri_rdf_first,skolem0002,X99)|X99=uri_ex_v,inference(resolution,status(thm),[c29, c11])).
% 0.55/0.74 cnf(c98,plain,~icext(uri_owl_FunctionalProperty,uri_rdf_first)|uri_ex_u=uri_ex_v,inference(resolution,status(thm),[c72, c10])).
% 0.55/0.74 cnf(c99,plain,uri_ex_u=uri_ex_v,inference(resolution,status(thm),[c98, c64])).
% 0.55/0.74 cnf(c103,plain,uri_ex_v=uri_ex_u,inference(resolution,status(thm),[c99, symmetry])).
% 0.55/0.74 cnf(c109,plain,X111!=uri_ex_v|X111=uri_ex_u,inference(resolution,status(thm),[c103, transitivity])).
% 0.55/0.74 cnf(c7,axiom,iext(uri_rdf_type,uri_ex_w,skolem0001),inference(split_conjunct,status(thm),[c5])).
% 0.55/0.74 cnf(c66,plain,icext(skolem0001,uri_ex_w),inference(resolution,status(thm),[c48, c7])).
% 0.55/0.74 cnf(c12,axiom,iext(uri_rdf_rest,skolem0002,uri_rdf_nil),inference(split_conjunct,status(thm),[c5])).
% 0.55/0.74 cnf(c9,axiom,iext(uri_owl_oneOf,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.55/0.74 fof(owl_enum_class_001,axiom,(![Z]:(![S1]:(![A1]:((iext(uri_rdf_first,S1,A1)&iext(uri_rdf_rest,S1,uri_rdf_nil))=>(iext(uri_owl_oneOf,Z,S1)<=>(ic(Z)&(![X]:(icext(Z,X)<=>X=A1)))))))),input).
% 0.55/0.74 fof(c33,axiom,(![Z]:(![S1]:(![A1]:((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,uri_rdf_nil))|((~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&(![X]:((~icext(Z,X)|X=A1)&(X!=A1|icext(Z,X))))))&((~ic(Z)|(?[X]:((~icext(Z,X)|X!=A1)&(icext(Z,X)|X=A1))))|iext(uri_owl_oneOf,Z,S1))))))),inference(fof_nnf,status(thm),[owl_enum_class_001])).
% 0.55/0.74 fof(c34,axiom,(![Z]:(![S1]:(![A1]:((~iext(uri_rdf_first,S1,A1)|~iext(uri_rdf_rest,S1,uri_rdf_nil))|((~iext(uri_owl_oneOf,Z,S1)|(ic(Z)&((![X]:(~icext(Z,X)|X=A1))&(![X]:(X!=A1|icext(Z,X))))))&((~ic(Z)|(?[X]:((~icext(Z,X)|X!=A1)&(icext(Z,X)|X=A1))))|iext(uri_owl_oneOf,Z,S1))))))),inference(shift_quantors,status(thm),[c33])).
% 0.55/0.74 fof(c35,axiom,(![X16]:(![X17]:(![X18]:((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|((~iext(uri_owl_oneOf,X16,X17)|(ic(X16)&((![X19]:(~icext(X16,X19)|X19=X18))&(![X20]:(X20!=X18|icext(X16,X20))))))&((~ic(X16)|(?[X21]:((~icext(X16,X21)|X21!=X18)&(icext(X16,X21)|X21=X18))))|iext(uri_owl_oneOf,X16,X17))))))),inference(variable_rename,status(thm),[c34])).
% 0.55/0.74 fof(c37,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|((~iext(uri_owl_oneOf,X16,X17)|(ic(X16)&((~icext(X16,X19)|X19=X18)&(X20!=X18|icext(X16,X20)))))&((~ic(X16)|((~icext(X16,skolem0006(X16,X17,X18))|skolem0006(X16,X17,X18)!=X18)&(icext(X16,skolem0006(X16,X17,X18))|skolem0006(X16,X17,X18)=X18)))|iext(uri_owl_oneOf,X16,X17))))))))),inference(shift_quantors,status(thm),[fof(c36,axiom,(![X16]:(![X17]:(![X18]:((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|((~iext(uri_owl_oneOf,X16,X17)|(ic(X16)&((![X19]:(~icext(X16,X19)|X19=X18))&(![X20]:(X20!=X18|icext(X16,X20))))))&((~ic(X16)|((~icext(X16,skolem0006(X16,X17,X18))|skolem0006(X16,X17,X18)!=X18)&(icext(X16,skolem0006(X16,X17,X18))|skolem0006(X16,X17,X18)=X18)))|iext(uri_owl_oneOf,X16,X17))))))),inference(skolemize,status(esa),[c35])).])).
% 0.55/0.74 fof(c38,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|(~iext(uri_owl_oneOf,X16,X17)|ic(X16)))&(((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|(~iext(uri_owl_oneOf,X16,X17)|(~icext(X16,X19)|X19=X18)))&((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|(~iext(uri_owl_oneOf,X16,X17)|(X20!=X18|icext(X16,X20))))))&(((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|((~ic(X16)|(~icext(X16,skolem0006(X16,X17,X18))|skolem0006(X16,X17,X18)!=X18))|iext(uri_owl_oneOf,X16,X17)))&((~iext(uri_rdf_first,X17,X18)|~iext(uri_rdf_rest,X17,uri_rdf_nil))|((~ic(X16)|(icext(X16,skolem0006(X16,X17,X18))|skolem0006(X16,X17,X18)=X18))|iext(uri_owl_oneOf,X16,X17)))))))))),inference(distribute,status(thm),[c37])).
% 0.55/0.74 cnf(c40,axiom,~iext(uri_rdf_first,X96,X94)|~iext(uri_rdf_rest,X96,uri_rdf_nil)|~iext(uri_owl_oneOf,X95,X96)|~icext(X95,X97)|X97=X94,inference(split_conjunct,status(thm),[c38])).
% 0.55/0.74 cnf(c95,plain,~iext(uri_rdf_first,skolem0002,X178)|~iext(uri_rdf_rest,skolem0002,uri_rdf_nil)|~icext(skolem0001,X177)|X177=X178,inference(resolution,status(thm),[c40, c9])).
% 0.55/0.74 cnf(c170,plain,~iext(uri_rdf_first,skolem0002,X180)|~icext(skolem0001,X179)|X179=X180,inference(resolution,status(thm),[c95, c12])).
% 0.55/0.74 cnf(c171,plain,~icext(skolem0001,X181)|X181=uri_ex_v,inference(resolution,status(thm),[c170, c11])).
% 0.55/0.74 cnf(c173,plain,uri_ex_w=uri_ex_v,inference(resolution,status(thm),[c171, c66])).
% 0.55/0.74 cnf(c181,plain,uri_ex_w=uri_ex_u,inference(resolution,status(thm),[c173, c109])).
% 0.55/0.74 cnf(c191,plain,iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),inference(resolution,status(thm),[c181, c21])).
% 0.55/0.74 fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,(iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)&iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)),input).
% 0.55/0.74 fof(c13,negated_conjecture,(~(iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)&iext(uri_owl_sameAs,uri_ex_w,uri_ex_v))),inference(assume_negation,status(cth),[testcase_conclusion_fullish_023_Unique_List_Components])).
% 0.55/0.74 fof(c14,negated_conjecture,(~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)),inference(fof_nnf,status(thm),[c13])).
% 0.55/0.74 cnf(c15,negated_conjecture,~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)|~iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),inference(split_conjunct,status(thm),[c14])).
% 0.55/0.74 cnf(c180,plain,iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),inference(resolution,status(thm),[c173, c21])).
% 0.55/0.74 cnf(c216,plain,~iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),inference(resolution,status(thm),[c180, c15])).
% 0.55/0.74 cnf(c241,plain,$false,inference(resolution,status(thm),[c216, c191])).
% 0.55/0.74 # SZS output end CNFRefutation
% 0.55/0.74
% 0.55/0.74 # Initial clauses : 29
% 0.55/0.74 # Processed clauses : 117
% 0.55/0.74 # Factors computed : 0
% 0.55/0.74 # Resolvents computed: 192
% 0.55/0.74 # Tautologies deleted: 3
% 0.55/0.74 # Forward subsumed : 57
% 0.55/0.74 # Backward subsumed : 5
% 0.55/0.74 # -------- CPU Time ---------
% 0.55/0.74 # User time : 0.376 s
% 0.55/0.74 # System time : 0.012 s
% 0.55/0.74 # Total time : 0.388 s
%------------------------------------------------------------------------------