TSTP Solution File: SWB026+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 19:12:51 EDT 2022

% Result   : Theorem 29.64s 29.43s
% Output   : Proof 29.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n025.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 04:29:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 29.64/29.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.64/29.43  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.64/29.44  
% 29.64/29.44  %-----------------------------------------------------
% 29.64/29.44  fof(owl_char_inversefunctional, axiom, ! [_33256] : (icext(uri_owl_InverseFunctionalProperty, _33256) <=> ip(_33256) & ! [_33281, _33284, _33287] : (iext(_33256, _33281, _33287) & iext(_33256, _33284, _33287) => _33281 = _33284)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', owl_char_inversefunctional)).
% 29.64/29.44  fof(owl_enum_class_001, axiom, ! [_33559, _33562, _33565] : (iext(uri_rdf_first, _33562, _33565) & iext(uri_rdf_rest, _33562, uri_rdf_nil) => (iext(uri_owl_oneOf, _33559, _33562) <=> ic(_33559) & ! [_33619] : (icext(_33559, _33619) <=> _33619 = _33565))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', owl_enum_class_001)).
% 29.64/29.44  fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I, conjecture, iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty), file('/export/starexec/sandbox/benchmark/theBenchmark.p', testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I)).
% 29.64/29.44  fof(rdf_type_ip, axiom, ! [_33986] : (iext(uri_rdf_type, _33986, uri_rdf_Property) <=> ip(_33986)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', rdf_type_ip)).
% 29.64/29.44  fof(rdfs_cext_def, axiom, ! [_34123, _34126] : (iext(uri_rdf_type, _34123, _34126) <=> icext(_34126, _34123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', rdfs_cext_def)).
% 29.64/29.44  fof(rdfs_domain_main, axiom, ! [_34276, _34279, _34282, _34285] : (iext(uri_rdfs_domain, _34276, _34279) & iext(_34276, _34282, _34285) => icext(_34279, _34282)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', rdfs_domain_main)).
% 29.64/29.44  fof(rdfs_domain_domain, axiom, iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), file('/export/starexec/sandbox/benchmark/theBenchmark.p', rdfs_domain_domain)).
% 29.64/29.44  fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I, axiom, ? [_34539, _34542, _34545, _34548] : (iext(uri_rdfs_domain, uri_ex_p, _34539) & iext(uri_owl_oneOf, _34539, _34545) & iext(uri_rdf_first, _34545, uri_ex_w) & iext(uri_rdf_rest, _34545, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, _34542) & iext(uri_owl_oneOf, _34542, _34548) & iext(uri_rdf_first, _34548, uri_ex_u) & iext(uri_rdf_rest, _34548, uri_rdf_nil)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', testcase_premise_fullish_026_Inferred_Property_Characteristics_I)).
% 29.64/29.44  
% 29.64/29.44  cnf(1, plain, [-(10 ^ [_11967]), 7 ^ [_11967] = 8 ^ [_11967]], clausify(owl_char_inversefunctional)).
% 29.64/29.44  cnf(2, plain, [-(10 ^ [_11967]), -(iext(_11967, 8 ^ [_11967], 9 ^ [_11967]))], clausify(owl_char_inversefunctional)).
% 29.64/29.44  cnf(3, plain, [-(10 ^ [_11967]), -(iext(_11967, 7 ^ [_11967], 9 ^ [_11967]))], clausify(owl_char_inversefunctional)).
% 29.64/29.44  cnf(4, plain, [-(1 ^ [_11206, _11126, _11045]), icext(_11045, _11635), -(_11635 = _11206)], clausify(owl_enum_class_001)).
% 29.64/29.44  cnf(5, plain, [-(5 ^ [_11206, _11126, _11045]), iext(uri_owl_oneOf, _11045, _11126), 1 ^ [_11206, _11126, _11045]], clausify(owl_enum_class_001)).
% 29.64/29.44  cnf(6, plain, [iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty)], clausify(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I)).
% 29.64/29.44  cnf(7, plain, [-(_6326 = _6326)], theory(equality)).
% 29.64/29.44  cnf(8, plain, [_6479 = _6524, -(_6524 = _6479)], theory(equality)).
% 29.64/29.44  cnf(9, plain, [-(_6758 = _6869), _6758 = _6814, _6814 = _6869], theory(equality)).
% 29.64/29.44  cnf(10, plain, [-(iext(_8272, _8439, _8602)), iext(_8187, _8356, _8521), _8187 = _8272, _8356 = _8439, _8521 = _8602], theory(equality)).
% 29.64/29.44  cnf(11, plain, [iext(uri_rdf_type, _9612, uri_rdf_Property), -(ip(_9612))], clausify(rdf_type_ip)).
% 29.64/29.44  cnf(12, plain, [-(iext(uri_rdf_type, _9885, _9931)), icext(_9931, _9885)], clausify(rdfs_cext_def)).
% 29.64/29.44  cnf(13, plain, [-(icext(_10300, _10362)), iext(uri_rdfs_domain, _10237, _10300), iext(_10237, _10362, _10423)], clausify(rdfs_domain_main)).
% 29.64/29.44  cnf(14, plain, [-(iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property))], clausify(rdfs_domain_domain)).
% 29.64/29.44  cnf(15, plain, [-(iext(uri_rdfs_domain, uri_ex_p, 11 ^ []))], clausify(testcase_premise_fullish_026_Inferred_Property_Characteristics_I)).
% 29.64/29.44  cnf(16, plain, [-(iext(uri_owl_oneOf, 11 ^ [], 13 ^ []))], clausify(testcase_premise_fullish_026_Inferred_Property_Characteristics_I)).
% 29.64/29.44  cnf(17, plain, [-(iext(uri_rdf_first, 13 ^ [], uri_ex_w))], clausify(testcase_premise_fullish_026_Inferred_Property_Characteristics_I)).
% 29.64/29.44  cnf(18, plain, [-(iext(uri_rdf_rest, 13 ^ [], uri_rdf_nil))], clausify(testcase_premise_fullish_026_Inferred_Property_Characteristics_I)).
% 29.64/29.44  cnf(19, plain, [-(icext(uri_owl_InverseFunctionalProperty, _11967)), ip(_11967), 10 ^ [_11967]], clausify(owl_char_inversefunctional)).
% 29.64/29.44  cnf(20, plain, [iext(uri_rdf_rest, _11126, uri_rdf_nil), iext(uri_rdf_first, _11126, _11206), 5 ^ [_11206, _11126, _11045]], clausify(owl_enum_class_001)).
% 29.64/29.44  
% 29.64/29.44  cnf('1',plain,[iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty)],start(6)).
% 29.64/29.44  cnf('1.1',plain,[-(iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty)), icext(uri_owl_InverseFunctionalProperty, uri_ex_p)],extension(12,bind([[_9931, _9885], [uri_owl_InverseFunctionalProperty, uri_ex_p]]))).
% 29.64/29.44  cnf('1.1.1',plain,[-(icext(uri_owl_InverseFunctionalProperty, uri_ex_p)), ip(uri_ex_p), 10 ^ [uri_ex_p]],extension(19,bind([[_11967], [uri_ex_p]]))).
% 29.64/29.44  cnf('1.1.1.1',plain,[-(ip(uri_ex_p)), iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)],extension(11,bind([[_9612], [uri_ex_p]]))).
% 29.64/29.44  cnf('1.1.1.1.1',plain,[-(iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)), icext(uri_rdf_Property, uri_ex_p)],extension(12,bind([[_9931, _9885], [uri_rdf_Property, uri_ex_p]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1',plain,[-(icext(uri_rdf_Property, uri_ex_p)), iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), iext(uri_rdfs_domain, uri_ex_p, 11 ^ [])],extension(13,bind([[_10300, _10237, _10362, _10423], [uri_rdf_Property, uri_rdfs_domain, uri_ex_p, 11 ^ []]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1',plain,[-(iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property)), iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), uri_rdfs_domain = uri_rdfs_domain, uri_rdfs_domain = uri_rdfs_domain, uri_rdf_Property = uri_rdf_Property],extension(10,bind([[_8187, _8272, _8356, _8439, _8521, _8602], [uri_rdfs_domain, uri_rdfs_domain, uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property, uri_rdf_Property]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.1',plain,[-(iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property)), iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), uri_rdfs_domain = uri_rdfs_domain, uri_rdfs_domain = uri_rdfs_domain, uri_rdf_Property = uri_rdf_Property],extension(10,bind([[_8187, _8272, _8356, _8439, _8521, _8602], [uri_rdfs_domain, uri_rdfs_domain, uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property, uri_rdf_Property]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.1.1',plain,[-(iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property))],extension(14)).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.1.2',plain,[-(uri_rdfs_domain = uri_rdfs_domain)],extension(7,bind([[_6326], [uri_rdfs_domain]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.1.3',plain,[-(uri_rdfs_domain = uri_rdfs_domain)],extension(7,bind([[_6326], [uri_rdfs_domain]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.1.4',plain,[-(uri_rdf_Property = uri_rdf_Property)],extension(7,bind([[_6326], [uri_rdf_Property]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.2',plain,[-(uri_rdfs_domain = uri_rdfs_domain)],extension(7,bind([[_6326], [uri_rdfs_domain]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.3',plain,[-(uri_rdfs_domain = uri_rdfs_domain)],extension(7,bind([[_6326], [uri_rdfs_domain]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.1.4',plain,[-(uri_rdf_Property = uri_rdf_Property)],extension(7,bind([[_6326], [uri_rdf_Property]]))).
% 29.64/29.44  cnf('1.1.1.1.1.1.2',plain,[-(iext(uri_rdfs_domain, uri_ex_p, 11 ^ []))],extension(15)).
% 29.64/29.44  cnf('1.1.1.2',plain,[-(10 ^ [uri_ex_p]), 7 ^ [uri_ex_p] = 8 ^ [uri_ex_p]],extension(1,bind([[_11967], [uri_ex_p]]))).
% 29.64/29.44  cnf('1.1.1.2.1',plain,[-(7 ^ [uri_ex_p] = 8 ^ [uri_ex_p]), 7 ^ [uri_ex_p] = uri_ex_w, uri_ex_w = 8 ^ [uri_ex_p]],extension(9,bind([[_6758, _6814, _6869], [7 ^ [uri_ex_p], uri_ex_w, 8 ^ [uri_ex_p]]]))).
% 29.64/29.44  cnf('1.1.1.2.1.1',plain,[-(7 ^ [uri_ex_p] = uri_ex_w), -(1 ^ [uri_ex_w, 13 ^ [], 11 ^ []]), icext(11 ^ [], 7 ^ [uri_ex_p])],extension(4,bind([[_11206, _11126, _11045, _11635], [uri_ex_w, 13 ^ [], 11 ^ [], 7 ^ [uri_ex_p]]]))).
% 29.64/29.44  cnf('1.1.1.2.1.1.1',plain,[1 ^ [uri_ex_w, 13 ^ [], 11 ^ []], -(5 ^ [uri_ex_w, 13 ^ [], 11 ^ []]), iext(uri_owl_oneOf, 11 ^ [], 13 ^ [])],extension(5,bind([[_11206, _11045, _11126], [uri_ex_w, 11 ^ [], 13 ^ []]]))).
% 29.64/29.44  cnf('1.1.1.2.1.1.1.1',plain,[5 ^ [uri_ex_w, 13 ^ [], 11 ^ []], iext(uri_rdf_rest, 13 ^ [], uri_rdf_nil), iext(uri_rdf_first, 13 ^ [], uri_ex_w)],extension(20,bind([[_11045, _11126, _11206], [11 ^ [], 13 ^ [], uri_ex_w]]))).
% 29.64/29.44  cnf('1.1.1.2.1.1.1.1.1',plain,[-(iext(uri_rdf_rest, 13 ^ [], uri_rdf_nil))],extension(18)).
% 29.64/29.44  cnf('1.1.1.2.1.1.1.1.2',plain,[-(iext(uri_rdf_first, 13 ^ [], uri_ex_w))],extension(17)).
% 29.64/29.44  cnf('1.1.1.2.1.1.1.2',plain,[-(iext(uri_owl_oneOf, 11 ^ [], 13 ^ []))],extension(16)).
% 29.64/29.44  cnf('1.1.1.2.1.1.2',plain,[-(icext(11 ^ [], 7 ^ [uri_ex_p])), iext(uri_rdfs_domain, uri_ex_p, 11 ^ []), iext(uri_ex_p, 7 ^ [uri_ex_p], 9 ^ [uri_ex_p])],extension(13,bind([[_10300, _10237, _10362, _10423], [11 ^ [], uri_ex_p, 7 ^ [uri_ex_p], 9 ^ [uri_ex_p]]]))).
% 29.64/29.44  cnf('1.1.1.2.1.1.2.1',plain,[-(iext(uri_rdfs_domain, uri_ex_p, 11 ^ []))],extension(15)).
% 29.64/29.44  cnf('1.1.1.2.1.1.2.2',plain,[-(iext(uri_ex_p, 7 ^ [uri_ex_p], 9 ^ [uri_ex_p])), -(10 ^ [uri_ex_p])],extension(3,bind([[_11967], [uri_ex_p]]))).
% 29.64/29.44  cnf('1.1.1.2.1.1.2.2.1',plain,[10 ^ [uri_ex_p]],reduction('1.1.1')).
% 29.64/29.44  cnf('1.1.1.2.1.2',plain,[-(uri_ex_w = 8 ^ [uri_ex_p]), 8 ^ [uri_ex_p] = uri_ex_w],extension(8,bind([[_6479, _6524], [8 ^ [uri_ex_p], uri_ex_w]]))).
% 29.64/29.44  cnf('1.1.1.2.1.2.1',plain,[-(8 ^ [uri_ex_p] = uri_ex_w), -(1 ^ [uri_ex_w, 13 ^ [], 11 ^ []]), icext(11 ^ [], 8 ^ [uri_ex_p])],extension(4,bind([[_11206, _11126, _11045, _11635], [uri_ex_w, 13 ^ [], 11 ^ [], 8 ^ [uri_ex_p]]]))).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.1',plain,[1 ^ [uri_ex_w, 13 ^ [], 11 ^ []], -(5 ^ [uri_ex_w, 13 ^ [], 11 ^ []]), iext(uri_owl_oneOf, 11 ^ [], 13 ^ [])],extension(5,bind([[_11206, _11045, _11126], [uri_ex_w, 11 ^ [], 13 ^ []]]))).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.1.1',plain,[5 ^ [uri_ex_w, 13 ^ [], 11 ^ []], iext(uri_rdf_rest, 13 ^ [], uri_rdf_nil), iext(uri_rdf_first, 13 ^ [], uri_ex_w)],extension(20,bind([[_11045, _11126, _11206], [11 ^ [], 13 ^ [], uri_ex_w]]))).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.1.1.1',plain,[-(iext(uri_rdf_rest, 13 ^ [], uri_rdf_nil))],extension(18)).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.1.1.2',plain,[-(iext(uri_rdf_first, 13 ^ [], uri_ex_w))],extension(17)).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.1.2',plain,[-(iext(uri_owl_oneOf, 11 ^ [], 13 ^ []))],extension(16)).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.2',plain,[-(icext(11 ^ [], 8 ^ [uri_ex_p])), iext(uri_rdfs_domain, uri_ex_p, 11 ^ []), iext(uri_ex_p, 8 ^ [uri_ex_p], 9 ^ [uri_ex_p])],extension(13,bind([[_10300, _10237, _10362, _10423], [11 ^ [], uri_ex_p, 8 ^ [uri_ex_p], 9 ^ [uri_ex_p]]]))).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.2.1',plain,[-(iext(uri_rdfs_domain, uri_ex_p, 11 ^ []))],extension(15)).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.2.2',plain,[-(iext(uri_ex_p, 8 ^ [uri_ex_p], 9 ^ [uri_ex_p])), -(10 ^ [uri_ex_p])],extension(2,bind([[_11967], [uri_ex_p]]))).
% 29.64/29.44  cnf('1.1.1.2.1.2.1.2.2.1',plain,[10 ^ [uri_ex_p]],reduction('1.1.1')).
% 29.64/29.44  %-----------------------------------------------------
% 29.64/29.44  
% 29.64/29.45  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------