TSTP Solution File: SWB031+2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 19:19:17 EDT 2022

% Result   : Unsatisfiable 0.42s 0.62s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n017.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 : Tue May 31 23:57:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.42/0.62  # Version:  1.3
% 0.42/0.62  # SZS status Unsatisfiable
% 0.42/0.62  # SZS output start CNFRefutation
% 0.42/0.62  fof(owl_class_nothing_ext,axiom,(![X]:(~icext(uri_owl_Nothing,X))),input).
% 0.42/0.62  fof(c33,axiom,(![X]:~icext(uri_owl_Nothing,X)),inference(fof_simplification,status(thm),[owl_class_nothing_ext])).
% 0.42/0.62  fof(c34,axiom,(![X17]:~icext(uri_owl_Nothing,X17)),inference(variable_rename,status(thm),[c33])).
% 0.42/0.62  cnf(c35,axiom,~icext(uri_owl_Nothing,X23),inference(split_conjunct,status(thm),[c34])).
% 0.42/0.62  cnf(reflexivity,axiom,X22=X22,eq_axiom).
% 0.42/0.62  fof(simple_ir,axiom,(![X]:ir(X)),input).
% 0.42/0.62  fof(c42,axiom,(![X20]:ir(X20)),inference(variable_rename,status(thm),[simple_ir])).
% 0.42/0.62  cnf(c43,axiom,ir(X21),inference(split_conjunct,status(thm),[c42])).
% 0.42/0.62  fof(owl_class_thing_ext,axiom,(![X]:(icext(uri_owl_Thing,X)<=>ir(X))),input).
% 0.42/0.62  fof(c36,axiom,(![X]:((~icext(uri_owl_Thing,X)|ir(X))&(~ir(X)|icext(uri_owl_Thing,X)))),inference(fof_nnf,status(thm),[owl_class_thing_ext])).
% 0.42/0.62  fof(c37,axiom,((![X]:(~icext(uri_owl_Thing,X)|ir(X)))&(![X]:(~ir(X)|icext(uri_owl_Thing,X)))),inference(shift_quantors,status(thm),[c36])).
% 0.42/0.62  fof(c39,axiom,(![X18]:(![X19]:((~icext(uri_owl_Thing,X18)|ir(X18))&(~ir(X19)|icext(uri_owl_Thing,X19))))),inference(shift_quantors,status(thm),[fof(c38,axiom,((![X18]:(~icext(uri_owl_Thing,X18)|ir(X18)))&(![X19]:(~ir(X19)|icext(uri_owl_Thing,X19)))),inference(variable_rename,status(thm),[c37])).])).
% 0.42/0.62  cnf(c41,axiom,~ir(X33)|icext(uri_owl_Thing,X33),inference(split_conjunct,status(thm),[c39])).
% 0.42/0.62  cnf(c46,plain,icext(uri_owl_Thing,X34),inference(resolution,status(thm),[c41, c43])).
% 0.42/0.62  cnf(c1,plain,X40!=X39|X42!=X41|~icext(X40,X42)|icext(X39,X41),eq_axiom).
% 0.42/0.62  cnf(c48,plain,uri_owl_Thing!=X49|X48!=X50|icext(X49,X50),inference(resolution,status(thm),[c1, c46])).
% 0.42/0.62  cnf(c51,plain,uri_owl_Thing!=X57|icext(X57,X58),inference(resolution,status(thm),[c48, reflexivity])).
% 0.42/0.62  fof(testcase_premise_fullish_031_Large_Universe,axiom,(?[BNODE_x]:(?[BNODE_l]:(((iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x)&iext(uri_owl_oneOf,BNODE_x,BNODE_l))&iext(uri_rdf_first,BNODE_l,uri_ex_w))&iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)))),input).
% 0.42/0.62  fof(c4,axiom,(?[X2]:(?[X3]:(((iext(uri_owl_equivalentClass,uri_owl_Thing,X2)&iext(uri_owl_oneOf,X2,X3))&iext(uri_rdf_first,X3,uri_ex_w))&iext(uri_rdf_rest,X3,uri_rdf_nil)))),inference(variable_rename,status(thm),[testcase_premise_fullish_031_Large_Universe])).
% 0.42/0.62  fof(c5,axiom,(((iext(uri_owl_equivalentClass,uri_owl_Thing,skolem0001)&iext(uri_owl_oneOf,skolem0001,skolem0002))&iext(uri_rdf_first,skolem0002,uri_ex_w))&iext(uri_rdf_rest,skolem0002,uri_rdf_nil)),inference(skolemize,status(esa),[c4])).
% 0.42/0.62  cnf(c6,axiom,iext(uri_owl_equivalentClass,uri_owl_Thing,skolem0001),inference(split_conjunct,status(thm),[c5])).
% 0.42/0.62  fof(owl_eqdis_equivalentclass,axiom,(![C1]:(![C2]:(iext(uri_owl_equivalentClass,C1,C2)<=>((ic(C1)&ic(C2))&(![X]:(icext(C1,X)<=>icext(C2,X))))))),input).
% 0.42/0.62  fof(c10,axiom,(![C1]:(![C2]:((~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&(![X]:((~icext(C1,X)|icext(C2,X))&(~icext(C2,X)|icext(C1,X))))))&(((~ic(C1)|~ic(C2))|(?[X]:((~icext(C1,X)|~icext(C2,X))&(icext(C1,X)|icext(C2,X)))))|iext(uri_owl_equivalentClass,C1,C2))))),inference(fof_nnf,status(thm),[owl_eqdis_equivalentclass])).
% 0.42/0.62  fof(c11,axiom,((![C1]:(![C2]:(~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&((![X]:(~icext(C1,X)|icext(C2,X)))&(![X]:(~icext(C2,X)|icext(C1,X))))))))&(![C1]:(![C2]:(((~ic(C1)|~ic(C2))|(?[X]:((~icext(C1,X)|~icext(C2,X))&(icext(C1,X)|icext(C2,X)))))|iext(uri_owl_equivalentClass,C1,C2))))),inference(shift_quantors,status(thm),[c10])).
% 0.42/0.62  fof(c12,axiom,((![X4]:(![X5]:(~iext(uri_owl_equivalentClass,X4,X5)|((ic(X4)&ic(X5))&((![X6]:(~icext(X4,X6)|icext(X5,X6)))&(![X7]:(~icext(X5,X7)|icext(X4,X7))))))))&(![X8]:(![X9]:(((~ic(X8)|~ic(X9))|(?[X10]:((~icext(X8,X10)|~icext(X9,X10))&(icext(X8,X10)|icext(X9,X10)))))|iext(uri_owl_equivalentClass,X8,X9))))),inference(variable_rename,status(thm),[c11])).
% 0.42/0.62  fof(c14,axiom,(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((~iext(uri_owl_equivalentClass,X4,X5)|((ic(X4)&ic(X5))&((~icext(X4,X6)|icext(X5,X6))&(~icext(X5,X7)|icext(X4,X7)))))&(((~ic(X8)|~ic(X9))|((~icext(X8,skolem0003(X8,X9))|~icext(X9,skolem0003(X8,X9)))&(icext(X8,skolem0003(X8,X9))|icext(X9,skolem0003(X8,X9)))))|iext(uri_owl_equivalentClass,X8,X9))))))))),inference(shift_quantors,status(thm),[fof(c13,axiom,((![X4]:(![X5]:(~iext(uri_owl_equivalentClass,X4,X5)|((ic(X4)&ic(X5))&((![X6]:(~icext(X4,X6)|icext(X5,X6)))&(![X7]:(~icext(X5,X7)|icext(X4,X7))))))))&(![X8]:(![X9]:(((~ic(X8)|~ic(X9))|((~icext(X8,skolem0003(X8,X9))|~icext(X9,skolem0003(X8,X9)))&(icext(X8,skolem0003(X8,X9))|icext(X9,skolem0003(X8,X9)))))|iext(uri_owl_equivalentClass,X8,X9))))),inference(skolemize,status(esa),[c12])).])).
% 0.42/0.62  fof(c15,axiom,(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((((~iext(uri_owl_equivalentClass,X4,X5)|ic(X4))&(~iext(uri_owl_equivalentClass,X4,X5)|ic(X5)))&((~iext(uri_owl_equivalentClass,X4,X5)|(~icext(X4,X6)|icext(X5,X6)))&(~iext(uri_owl_equivalentClass,X4,X5)|(~icext(X5,X7)|icext(X4,X7)))))&((((~ic(X8)|~ic(X9))|(~icext(X8,skolem0003(X8,X9))|~icext(X9,skolem0003(X8,X9))))|iext(uri_owl_equivalentClass,X8,X9))&(((~ic(X8)|~ic(X9))|(icext(X8,skolem0003(X8,X9))|icext(X9,skolem0003(X8,X9))))|iext(uri_owl_equivalentClass,X8,X9)))))))))),inference(distribute,status(thm),[c14])).
% 0.42/0.62  cnf(c18,axiom,~iext(uri_owl_equivalentClass,X61,X60)|~icext(X61,X62)|icext(X60,X62),inference(split_conjunct,status(thm),[c15])).
% 0.42/0.62  cnf(c57,plain,~icext(uri_owl_Thing,X63)|icext(skolem0001,X63),inference(resolution,status(thm),[c18, c6])).
% 0.42/0.62  cnf(c58,plain,icext(skolem0001,X64),inference(resolution,status(thm),[c57, c46])).
% 0.42/0.62  cnf(c8,axiom,iext(uri_rdf_first,skolem0002,uri_ex_w),inference(split_conjunct,status(thm),[c5])).
% 0.42/0.62  cnf(c9,axiom,iext(uri_rdf_rest,skolem0002,uri_rdf_nil),inference(split_conjunct,status(thm),[c5])).
% 0.42/0.62  cnf(c7,axiom,iext(uri_owl_oneOf,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.42/0.62  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).
% 0.42/0.62  fof(c22,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])).
% 0.42/0.62  fof(c23,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),[c22])).
% 0.42/0.62  fof(c24,axiom,(![X11]:(![X12]:(![X13]:((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|((~iext(uri_owl_oneOf,X11,X12)|(ic(X11)&((![X14]:(~icext(X11,X14)|X14=X13))&(![X15]:(X15!=X13|icext(X11,X15))))))&((~ic(X11)|(?[X16]:((~icext(X11,X16)|X16!=X13)&(icext(X11,X16)|X16=X13))))|iext(uri_owl_oneOf,X11,X12))))))),inference(variable_rename,status(thm),[c23])).
% 0.42/0.62  fof(c26,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|((~iext(uri_owl_oneOf,X11,X12)|(ic(X11)&((~icext(X11,X14)|X14=X13)&(X15!=X13|icext(X11,X15)))))&((~ic(X11)|((~icext(X11,skolem0004(X11,X12,X13))|skolem0004(X11,X12,X13)!=X13)&(icext(X11,skolem0004(X11,X12,X13))|skolem0004(X11,X12,X13)=X13)))|iext(uri_owl_oneOf,X11,X12))))))))),inference(shift_quantors,status(thm),[fof(c25,axiom,(![X11]:(![X12]:(![X13]:((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|((~iext(uri_owl_oneOf,X11,X12)|(ic(X11)&((![X14]:(~icext(X11,X14)|X14=X13))&(![X15]:(X15!=X13|icext(X11,X15))))))&((~ic(X11)|((~icext(X11,skolem0004(X11,X12,X13))|skolem0004(X11,X12,X13)!=X13)&(icext(X11,skolem0004(X11,X12,X13))|skolem0004(X11,X12,X13)=X13)))|iext(uri_owl_oneOf,X11,X12))))))),inference(skolemize,status(esa),[c24])).])).
% 0.42/0.62  fof(c27,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|(~iext(uri_owl_oneOf,X11,X12)|ic(X11)))&(((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|(~iext(uri_owl_oneOf,X11,X12)|(~icext(X11,X14)|X14=X13)))&((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|(~iext(uri_owl_oneOf,X11,X12)|(X15!=X13|icext(X11,X15))))))&(((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|((~ic(X11)|(~icext(X11,skolem0004(X11,X12,X13))|skolem0004(X11,X12,X13)!=X13))|iext(uri_owl_oneOf,X11,X12)))&((~iext(uri_rdf_first,X12,X13)|~iext(uri_rdf_rest,X12,uri_rdf_nil))|((~ic(X11)|(icext(X11,skolem0004(X11,X12,X13))|skolem0004(X11,X12,X13)=X13))|iext(uri_owl_oneOf,X11,X12)))))))))),inference(distribute,status(thm),[c26])).
% 0.42/0.62  cnf(c29,axiom,~iext(uri_rdf_first,X110,X107)|~iext(uri_rdf_rest,X110,uri_rdf_nil)|~iext(uri_owl_oneOf,X109,X110)|~icext(X109,X108)|X108=X107,inference(split_conjunct,status(thm),[c27])).
% 0.42/0.62  cnf(c80,plain,~iext(uri_rdf_first,skolem0002,X144)|~iext(uri_rdf_rest,skolem0002,uri_rdf_nil)|~icext(skolem0001,X143)|X143=X144,inference(resolution,status(thm),[c29, c7])).
% 0.42/0.62  cnf(c112,plain,~iext(uri_rdf_first,skolem0002,X145)|~icext(skolem0001,X146)|X146=X145,inference(resolution,status(thm),[c80, c9])).
% 0.42/0.62  cnf(c113,plain,~icext(skolem0001,X147)|X147=uri_ex_w,inference(resolution,status(thm),[c112, c8])).
% 0.42/0.62  cnf(c114,plain,X148=uri_ex_w,inference(resolution,status(thm),[c113, c58])).
% 0.42/0.62  cnf(transitivity,axiom,X29!=X27|X27!=X28|X29=X28,eq_axiom).
% 0.42/0.62  cnf(symmetry,axiom,X25!=X24|X24=X25,eq_axiom).
% 0.42/0.62  cnf(c127,plain,uri_ex_w=X152,inference(resolution,status(thm),[c114, symmetry])).
% 0.42/0.62  cnf(c144,plain,X168!=uri_ex_w|X168=X167,inference(resolution,status(thm),[c127, transitivity])).
% 0.42/0.62  cnf(c162,plain,X169=X170,inference(resolution,status(thm),[c144, c114])).
% 0.42/0.62  cnf(c167,plain,icext(X171,X172),inference(resolution,status(thm),[c162, c51])).
% 0.42/0.62  cnf(c187,plain,$false,inference(resolution,status(thm),[c167, c35])).
% 0.42/0.62  # SZS output end CNFRefutation
% 0.42/0.62  
% 0.42/0.62  # Initial clauses    : 26
% 0.42/0.62  # Processed clauses  : 81
% 0.42/0.62  # Factors computed   : 0
% 0.42/0.62  # Resolvents computed: 146
% 0.42/0.62  # Tautologies deleted: 6
% 0.42/0.62  # Forward subsumed   : 30
% 0.42/0.62  # Backward subsumed  : 39
% 0.42/0.62  # -------- CPU Time ---------
% 0.42/0.62  # User time          : 0.255 s
% 0.42/0.62  # System time        : 0.018 s
% 0.42/0.62  # Total time         : 0.273 s
%------------------------------------------------------------------------------