TSTP Solution File: SWB031+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 : Fri May 19 12:08:39 EDT 2023

% Result   : Unsatisfiable 48.60s 47.89s
% Output   : Proof 48.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 20:59:34 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 48.60/47.89  
% 48.60/47.89  /export/starexec/sandbox/benchmark/theBenchmark.p is Unsatisfiable
% 48.60/47.89  Start of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.60/47.89  %-----------------------------------------------------
% 48.60/47.89  ncf(matrix, plain, [(178 ^ _56010) ^ [] : [-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))], (133 ^ _56010) ^ [_58109, _58111] : [iext(uri_owl_equivalentClass, _58111, _58109), 136 ^ _56010 : [(139 ^ _56010) ^ [] : [-(ic(_58109))], (141 ^ _56010) ^ [_58417] : [icext(_58111, _58417), -(icext(_58109, _58417))], (147 ^ _56010) ^ [_58589] : [icext(_58109, _58589), -(icext(_58111, _58589))], (137 ^ _56010) ^ [] : [-(ic(_58111))]]], (88 ^ _56010) ^ [_56644, _56646, _56648] : [iext(uri_rdf_first, _56646, _56644), iext(uri_rdf_rest, _56646, uri_rdf_nil), 95 ^ _56010 : [(96 ^ _56010) ^ [] : [iext(uri_owl_oneOf, _56648, _56646), 99 ^ _56010 : [(108 ^ _56010) ^ [_57283] : [_57283 = _56644, -(icext(_56648, _57283))], (102 ^ _56010) ^ [_57103] : [icext(_56648, _57103), -(_57103 = _56644)], (100 ^ _56010) ^ [] : [-(ic(_56648))]]], (114 ^ _56010) ^ [] : [-(iext(uri_owl_oneOf, _56648, _56646)), ic(_56648), 122 ^ _56010 : [(125 ^ _56010) ^ [] : [119 ^ [_56644, _56646, _56648] = _56644], (123 ^ _56010) ^ [] : [-(icext(_56648, 119 ^ [_56644, _56646, _56648]))]], 126 ^ _56010 : [(129 ^ _56010) ^ [] : [icext(_56648, 119 ^ [_56644, _56646, _56648])], (127 ^ _56010) ^ [] : [-(119 ^ [_56644, _56646, _56648] = _56644)]]]]], (180 ^ _56010) ^ [] : [-(iext(uri_owl_oneOf, 175 ^ [], 176 ^ []))], (72 ^ _56010) ^ [_56074] : [-(ir(_56074))], (74 ^ _56010) ^ [_56195] : [icext(uri_owl_Thing, _56195), -(ir(_56195))], (80 ^ _56010) ^ [_56349] : [ir(_56349), -(icext(uri_owl_Thing, _56349))], (86 ^ _56010) ^ [_56523] : [icext(uri_owl_Nothing, _56523)], (182 ^ _56010) ^ [] : [-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))], (184 ^ _56010) ^ [] : [-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))], (153 ^ _56010) ^ [_58772, _58774] : [-(iext(uri_owl_equivalentClass, _58774, _58772)), ic(_58774), ic(_58772), 165 ^ _56010 : [(168 ^ _56010) ^ [] : [icext(_58772, 162 ^ [_58772, _58774])], (166 ^ _56010) ^ [] : [-(icext(_58774, 162 ^ [_58772, _58774]))]], 169 ^ _56010 : [(172 ^ _56010) ^ [] : [icext(_58774, 162 ^ [_58772, _58774])], (170 ^ _56010) ^ [] : [-(icext(_58772, 162 ^ [_58772, _58774]))]]], !, (10 ^ _53760) ^ [_54155, _54157, _54159] : [-(_54159 = _54155), _54159 = _54157, _54157 = _54155], (40 ^ _53760) ^ [_55086, _55088, _55090, _55092] : [-(icext(_55090, _55086)), icext(_55092, _55088), _55092 = _55090, _55088 = _55086], (54 ^ _53760) ^ [_55538, _55540, _55542, _55544, _55546, _55548] : [-(iext(_55546, _55542, _55538)), iext(_55548, _55544, _55540), _55548 = _55546, _55544 = _55542, _55540 = _55538], (20 ^ _53760) ^ [_54468, _54470] : [-(ir(_54468)), _54470 = _54468, ir(_54470)], (2 ^ _53760) ^ [_53844] : [-(_53844 = _53844)], (4 ^ _53760) ^ [_53951, _53953] : [_53953 = _53951, -(_53951 = _53953)], (30 ^ _53760) ^ [_54763, _54765] : [-(ic(_54763)), _54765 = _54763, ic(_54765)]], input).
% 48.60/47.89  ncf('1',plain,[iext(uri_rdf_first, 176 ^ [], uri_ex_w), iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil), 96 : iext(uri_owl_oneOf, 175 ^ [], 176 ^ []), 102 : icext(175 ^ [], uri_ex_w), 102 : -(uri_ex_w = uri_ex_w)],start(88 ^ 0,bind([[_56644, _56646, _56648, _57103], [uri_ex_w, 176 ^ [], 175 ^ [], uri_ex_w]]))).
% 48.60/47.89  ncf('1.1',plain,[-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))],extension(182 ^ 1)).
% 48.60/47.89  ncf('1.2',plain,[-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))],extension(184 ^ 1)).
% 48.60/47.89  ncf('1.3',plain,[-(iext(uri_owl_oneOf, 175 ^ [], 176 ^ [])), ic(175 ^ []), 123 : -(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), 129 : icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])],extension(114 ^ 3)).
% 48.60/47.89  ncf('1.3.1',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 4,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.3.1.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 5)).
% 48.60/47.89  ncf('1.3.2',plain,[icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), -(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), 175 ^ [] = 175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]],extension(40 ^ 6,bind([[_55086, _55088, _55090, _55092], [119 ^ [uri_ex_w, 176 ^ [], 175 ^ []], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []], 175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.3.2.1',plain,[icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 141 : -(icext(uri_owl_Thing, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), 141 : iext(uri_owl_equivalentClass, 175 ^ [], uri_owl_Thing)],extension(133 ^ 7,bind([[_58109, _58111, _58417], [uri_owl_Thing, 175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.1.1',plain,[icext(uri_owl_Thing, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 141 : -(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 10,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.1.1.1',plain,[icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 114 : -(iext(uri_owl_oneOf, 175 ^ [], 176 ^ [])), 114 : ic(175 ^ []), 125 : 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w, 114 : iext(uri_rdf_first, 176 ^ [], uri_ex_w), 114 : iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil)],extension(88 ^ 13,bind([[_56644, _56646, _56648], [uri_ex_w, 176 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.3.2.1.1.1.1',plain,[iext(uri_owl_oneOf, 175 ^ [], 176 ^ [])],reduction('1')).
% 48.60/47.89  ncf('1.3.2.1.1.1.2',plain,[-(ic(175 ^ []))],lemmata('[1].x')).
% 48.60/47.89  ncf('1.3.2.1.1.1.3',plain,[-(119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w), 102 : icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 102 : iext(uri_owl_oneOf, 175 ^ [], 176 ^ []), 96 : iext(uri_rdf_first, 176 ^ [], uri_ex_w), 96 : iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil)],extension(88 ^ 18,bind([[_56644, _56646, _56648, _57103], [uri_ex_w, 176 ^ [], 175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.1.1.1.3.1',plain,[-(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]))],reduction('1.3.2.1.1')).
% 48.60/47.89  ncf('1.3.2.1.1.1.3.2',plain,[-(iext(uri_owl_oneOf, 175 ^ [], 176 ^ []))],extension(180 ^ 21)).
% 48.60/47.89  ncf('1.3.2.1.1.1.3.3',plain,[-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))],extension(182 ^ 19)).
% 48.60/47.89  ncf('1.3.2.1.1.1.3.4',plain,[-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))],lemmata('x')).
% 48.60/47.89  ncf('1.3.2.1.1.1.4',plain,[-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))],lemmata('x')).
% 48.60/47.89  ncf('1.3.2.1.1.1.5',plain,[-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))],lemmata('x')).
% 48.60/47.89  ncf('1.3.2.1.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 11)).
% 48.60/47.89  ncf('1.3.2.1.2',plain,[-(iext(uri_owl_equivalentClass, 175 ^ [], uri_owl_Thing)), ic(175 ^ []), ic(uri_owl_Thing), 168 : icext(uri_owl_Thing, 162 ^ [uri_owl_Thing, 175 ^ []]), 172 : icext(175 ^ [], 162 ^ [uri_owl_Thing, 175 ^ []])],extension(153 ^ 8,bind([[_58772, _58774], [uri_owl_Thing, 175 ^ []]]))).
% 48.60/47.89  ncf('1.3.2.1.2.1',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 9,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.3.2.1.2.1.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 10)).
% 48.60/47.89  ncf('1.3.2.1.2.2',plain,[-(ic(uri_owl_Thing)), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 9,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.3.2.1.2.2.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 10)).
% 48.60/47.89  ncf('1.3.2.1.2.3',plain,[-(icext(uri_owl_Thing, 162 ^ [uri_owl_Thing, 175 ^ []])), 147 : icext(175 ^ [], 162 ^ [uri_owl_Thing, 175 ^ []]), 147 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 11,bind([[_58109, _58111, _58589], [175 ^ [], uri_owl_Thing, 162 ^ [uri_owl_Thing, 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.1.2.3.1',plain,[-(icext(175 ^ [], 162 ^ [uri_owl_Thing, 175 ^ []]))],extension(166 ^ 14)).
% 48.60/47.89  ncf('1.3.2.1.2.3.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 12)).
% 48.60/47.89  ncf('1.3.2.1.2.4',plain,[-(icext(175 ^ [], 162 ^ [uri_owl_Thing, 175 ^ []])), 141 : icext(uri_owl_Thing, 162 ^ [uri_owl_Thing, 175 ^ []]), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 11,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 162 ^ [uri_owl_Thing, 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.1.2.4.1',plain,[-(icext(uri_owl_Thing, 162 ^ [uri_owl_Thing, 175 ^ []]))],extension(170 ^ 14)).
% 48.60/47.89  ncf('1.3.2.1.2.4.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 12)).
% 48.60/47.89  ncf('1.3.2.2',plain,[-(175 ^ [] = 175 ^ [])],extension(2 ^ 7,bind([[_53844], [175 ^ []]]))).
% 48.60/47.89  ncf('1.3.2.3',plain,[-(119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w, uri_ex_w = 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]],extension(10 ^ 7,bind([[_54155, _54157, _54159], [119 ^ [uri_ex_w, 176 ^ [], 175 ^ []], uri_ex_w, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.3.1',plain,[-(119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w), 102 : icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 102 : iext(uri_owl_oneOf, 175 ^ [], 176 ^ []), 96 : iext(uri_rdf_first, 176 ^ [], uri_ex_w), 96 : iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil)],extension(88 ^ 8,bind([[_56644, _56646, _56648, _57103], [uri_ex_w, 176 ^ [], 175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.3.1.1',plain,[-(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]))],reduction('1.3')).
% 48.60/47.89  ncf('1.3.2.3.1.2',plain,[-(iext(uri_owl_oneOf, 175 ^ [], 176 ^ [])), ic(175 ^ []), 125 : 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w, 129 : icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])],extension(114 ^ 11)).
% 48.60/47.89  ncf('1.3.2.3.1.2.1',plain,[-(ic(175 ^ []))],lemmata('[1].x')).
% 48.60/47.89  ncf('1.3.2.3.1.2.2',plain,[-(119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w), 102 : icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 102 : iext(uri_owl_oneOf, 175 ^ [], 176 ^ []), 96 : iext(uri_rdf_first, 176 ^ [], uri_ex_w), 96 : iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil)],extension(88 ^ 14,bind([[_56644, _56646, _56648, _57103], [uri_ex_w, 176 ^ [], 175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.3.1.2.2.1',plain,[-(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]))],reduction('1.3')).
% 48.60/47.89  ncf('1.3.2.3.1.2.2.2',plain,[-(iext(uri_owl_oneOf, 175 ^ [], 176 ^ []))],extension(180 ^ 17)).
% 48.60/47.89  ncf('1.3.2.3.1.2.2.3',plain,[-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))],lemmata('x')).
% 48.60/47.89  ncf('1.3.2.3.1.2.2.4',plain,[-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))],lemmata('x')).
% 48.60/47.89  ncf('1.3.2.3.1.2.3',plain,[-(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]))],reduction('1.3')).
% 48.60/47.89  ncf('1.3.2.3.1.3',plain,[-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))],lemmata('x')).
% 48.60/47.89  ncf('1.3.2.3.1.4',plain,[-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))],lemmata('x')).
% 48.60/47.89  ncf('1.3.2.3.2',plain,[-(uri_ex_w = 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w],extension(4 ^ 8,bind([[_53951, _53953], [uri_ex_w, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.2.3.2.1',plain,[-(119 ^ [uri_ex_w, 176 ^ [], 175 ^ []] = uri_ex_w)],lemmata('[2, 3, 1].x')).
% 48.60/47.89  ncf('1.3.3',plain,[-(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), 141 : icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 141 : iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])],extension(133 ^ 6,bind([[_58109, _58111, _58417], [175 ^ [], 175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.1',plain,[-(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), 141 : icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 141 : iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])],extension(133 ^ 9,bind([[_58109, _58111, _58417], [175 ^ [], 175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.1.1',plain,[-(icext(175 ^ [], 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), 141 : icext(uri_owl_Thing, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 12,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.1.1.1',plain,[-(icext(uri_owl_Thing, 119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])), ir(119 ^ [uri_ex_w, 176 ^ [], 175 ^ []])],extension(80 ^ 15,bind([[_56349], [119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.1.1.1.1',plain,[-(ir(119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]))],extension(72 ^ 16,bind([[_56074], [119 ^ [uri_ex_w, 176 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.1.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 13)).
% 48.60/47.89  ncf('1.3.3.1.2',plain,[-(iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])), ic(175 ^ []), ic(175 ^ []), 168 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 172 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])],extension(153 ^ 10,bind([[_58772, _58774], [175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.3.3.1.2.1',plain,[-(ic(175 ^ []))],lemmata('[1].x')).
% 48.60/47.89  ncf('1.3.3.1.2.2',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 11,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.3.3.1.2.2.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 12)).
% 48.60/47.89  ncf('1.3.3.1.2.3',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(166 ^ 13)).
% 48.60/47.89  ncf('1.3.3.1.2.4',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(170 ^ 13)).
% 48.60/47.89  ncf('1.3.3.2',plain,[-(iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])), ic(175 ^ []), ic(175 ^ []), 168 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 172 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])],extension(153 ^ 7,bind([[_58772, _58774], [175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.3.3.2.1',plain,[-(ic(175 ^ []))],lemmata('[1].x')).
% 48.60/47.89  ncf('1.3.3.2.2',plain,[-(ic(175 ^ []))],lemmata('[3, 3, 1].x')).
% 48.60/47.89  ncf('1.3.3.2.3',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])), 141 : icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 10,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.2.3.1',plain,[-(icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []])), 147 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 147 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 13,bind([[_58109, _58111, _58589], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.2.3.1.1',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(166 ^ 16)).
% 48.60/47.89  ncf('1.3.3.2.3.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 14)).
% 48.60/47.89  ncf('1.3.3.2.3.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 11)).
% 48.60/47.89  ncf('1.3.3.2.4',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])), 141 : icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 10,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.2.4.1',plain,[-(icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []])), 147 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 147 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 13,bind([[_58109, _58111, _58589], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.3.3.2.4.1.1',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(170 ^ 16)).
% 48.60/47.89  ncf('1.3.3.2.4.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 14)).
% 48.60/47.89  ncf('1.3.3.2.4.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 11)).
% 48.60/47.89  ncf('1.4',plain,[-(icext(175 ^ [], uri_ex_w)), 141 : icext(175 ^ [], uri_ex_w), 141 : iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])],extension(133 ^ 5,bind([[_58109, _58111, _58417], [175 ^ [], 175 ^ [], uri_ex_w]]))).
% 48.60/47.89  ncf('1.4.1',plain,[-(icext(175 ^ [], uri_ex_w)), 141 : icext(175 ^ [], uri_ex_w), 141 : iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])],extension(133 ^ 8,bind([[_58109, _58111, _58417], [175 ^ [], 175 ^ [], uri_ex_w]]))).
% 48.60/47.89  ncf('1.4.1.1',plain,[-(icext(175 ^ [], uri_ex_w)), 141 : icext(175 ^ [], uri_ex_w), 141 : iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])],extension(133 ^ 11,bind([[_58109, _58111, _58417], [175 ^ [], 175 ^ [], uri_ex_w]]))).
% 48.60/47.89  ncf('1.4.1.1.1',plain,[-(icext(175 ^ [], uri_ex_w)), 141 : icext(175 ^ [], uri_ex_w), 141 : iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])],extension(133 ^ 14,bind([[_58109, _58111, _58417], [175 ^ [], 175 ^ [], uri_ex_w]]))).
% 48.60/47.89  ncf('1.4.1.1.1.1',plain,[-(icext(175 ^ [], uri_ex_w)), uri_ex_w = uri_ex_w],extension(108 ^ 17,bind([[_57283], [uri_ex_w]]))).
% 48.60/47.89  ncf('1.4.1.1.1.1.1',plain,[-(uri_ex_w = uri_ex_w)],extension(2 ^ 18,bind([[_53844], [uri_ex_w]]))).
% 48.60/47.89  ncf('1.4.1.1.1.2',plain,[-(iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])), ic(175 ^ []), ic(175 ^ []), 168 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 172 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])],extension(153 ^ 15,bind([[_58772, _58774], [175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.4.1.1.1.2.1',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 16,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.4.1.1.1.2.1.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 17)).
% 48.60/47.89  ncf('1.4.1.1.1.2.2',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 16,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.4.1.1.1.2.2.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 17)).
% 48.60/47.89  ncf('1.4.1.1.1.2.3',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(166 ^ 18)).
% 48.60/47.89  ncf('1.4.1.1.1.2.4',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(170 ^ 18)).
% 48.60/47.89  ncf('1.4.1.1.2',plain,[-(iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])), ic(175 ^ []), ic(175 ^ []), 168 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 172 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])],extension(153 ^ 12,bind([[_58772, _58774], [175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.4.1.1.2.1',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 13,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.4.1.1.2.1.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 14)).
% 48.60/47.89  ncf('1.4.1.1.2.2',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 13,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.4.1.1.2.2.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 14)).
% 48.60/47.89  ncf('1.4.1.1.2.3',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(166 ^ 15)).
% 48.60/47.89  ncf('1.4.1.1.2.4',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(170 ^ 15)).
% 48.60/47.89  ncf('1.4.1.2',plain,[-(iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])), ic(175 ^ []), ic(175 ^ []), 168 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 172 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])],extension(153 ^ 9,bind([[_58772, _58774], [175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.4.1.2.1',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 10,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.4.1.2.1.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 11)).
% 48.60/47.89  ncf('1.4.1.2.2',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 10,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.4.1.2.2.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 11)).
% 48.60/47.89  ncf('1.4.1.2.3',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])), 141 : icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 12,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.1.2.3.1',plain,[-(icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []])), 147 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 147 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 15,bind([[_58109, _58111, _58589], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.1.2.3.1.1',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(166 ^ 18)).
% 48.60/47.89  ncf('1.4.1.2.3.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 16)).
% 48.60/47.89  ncf('1.4.1.2.3.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 13)).
% 48.60/47.89  ncf('1.4.1.2.4',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])), 141 : icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 12,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.1.2.4.1',plain,[-(icext(uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []])), 147 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 147 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 15,bind([[_58109, _58111, _58589], [175 ^ [], uri_owl_Thing, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.1.2.4.1.1',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(170 ^ 18)).
% 48.60/47.89  ncf('1.4.1.2.4.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 16)).
% 48.60/47.89  ncf('1.4.1.2.4.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 13)).
% 48.60/47.89  ncf('1.4.2',plain,[-(iext(uri_owl_equivalentClass, 175 ^ [], 175 ^ [])), ic(175 ^ []), ic(175 ^ []), 168 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 172 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])],extension(153 ^ 6,bind([[_58772, _58774], [175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.4.2.1',plain,[-(ic(175 ^ [])), iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 7,bind([[_58109, _58111], [175 ^ [], uri_owl_Thing]]))).
% 48.60/47.89  ncf('1.4.2.1.1',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 8)).
% 48.60/47.89  ncf('1.4.2.2',plain,[-(ic(175 ^ []))],lemmata('[4, 1].x')).
% 48.60/47.89  ncf('1.4.2.3',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])), 162 ^ [175 ^ [], 175 ^ []] = uri_ex_w],extension(108 ^ 9,bind([[_57283], [162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.2.3.1',plain,[-(162 ^ [175 ^ [], 175 ^ []] = uri_ex_w), 162 ^ [175 ^ [], 175 ^ []] = uri_ex_w, uri_ex_w = uri_ex_w],extension(10 ^ 10,bind([[_54155, _54157, _54159], [uri_ex_w, uri_ex_w, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.2.3.1.1',plain,[-(162 ^ [175 ^ [], 175 ^ []] = uri_ex_w), 102 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 102 : iext(uri_owl_oneOf, 175 ^ [], 176 ^ []), 96 : iext(uri_rdf_first, 176 ^ [], uri_ex_w), 96 : iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil)],extension(88 ^ 11,bind([[_56644, _56646, _56648, _57103], [uri_ex_w, 176 ^ [], 175 ^ [], 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.2.3.1.1.1',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(166 ^ 16)).
% 48.60/47.89  ncf('1.4.2.3.1.1.2',plain,[-(iext(uri_owl_oneOf, 175 ^ [], 176 ^ []))],extension(180 ^ 14)).
% 48.60/47.89  ncf('1.4.2.3.1.1.3',plain,[-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))],extension(182 ^ 12)).
% 48.60/47.89  ncf('1.4.2.3.1.1.4',plain,[-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))],lemmata('x')).
% 48.60/47.89  ncf('1.4.2.3.1.2',plain,[-(uri_ex_w = uri_ex_w)],extension(2 ^ 11,bind([[_53844], [uri_ex_w]]))).
% 48.60/47.89  ncf('1.4.2.4',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []])), 162 ^ [175 ^ [], 175 ^ []] = uri_ex_w],extension(108 ^ 9,bind([[_57283], [162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.2.4.1',plain,[-(162 ^ [175 ^ [], 175 ^ []] = uri_ex_w), 162 ^ [175 ^ [], 175 ^ []] = uri_ex_w, uri_ex_w = uri_ex_w],extension(10 ^ 10,bind([[_54155, _54157, _54159], [uri_ex_w, uri_ex_w, 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.2.4.1.1',plain,[-(162 ^ [175 ^ [], 175 ^ []] = uri_ex_w), 102 : icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]), 102 : iext(uri_owl_oneOf, 175 ^ [], 176 ^ []), 96 : iext(uri_rdf_first, 176 ^ [], uri_ex_w), 96 : iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil)],extension(88 ^ 11,bind([[_56644, _56646, _56648, _57103], [uri_ex_w, 176 ^ [], 175 ^ [], 162 ^ [175 ^ [], 175 ^ []]]]))).
% 48.60/47.89  ncf('1.4.2.4.1.1.1',plain,[-(icext(175 ^ [], 162 ^ [175 ^ [], 175 ^ []]))],extension(170 ^ 16)).
% 48.60/47.89  ncf('1.4.2.4.1.1.2',plain,[-(iext(uri_owl_oneOf, 175 ^ [], 176 ^ []))],extension(180 ^ 14)).
% 48.60/47.89  ncf('1.4.2.4.1.1.3',plain,[-(iext(uri_rdf_first, 176 ^ [], uri_ex_w))],extension(182 ^ 12)).
% 48.60/47.89  ncf('1.4.2.4.1.1.4',plain,[-(iext(uri_rdf_rest, 176 ^ [], uri_rdf_nil))],lemmata('x')).
% 48.60/47.89  ncf('1.4.2.4.1.2',plain,[-(uri_ex_w = uri_ex_w)],extension(2 ^ 11,bind([[_53844], [uri_ex_w]]))).
% 48.60/47.89  ncf('1.5',plain,[uri_ex_w = uri_ex_w, -(uri_ex_w = uri_owl_Nothing), uri_ex_w = uri_owl_Nothing],extension(10 ^ 5,bind([[_54155, _54157, _54159], [uri_owl_Nothing, uri_ex_w, uri_ex_w]]))).
% 48.60/47.89  ncf('1.5.1',plain,[uri_ex_w = uri_owl_Nothing, -(175 ^ [] = uri_owl_Nothing), 175 ^ [] = uri_ex_w],extension(10 ^ 6,bind([[_54155, _54157, _54159], [uri_owl_Nothing, uri_ex_w, 175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.1',plain,[175 ^ [] = uri_owl_Nothing, -(175 ^ [] = uri_ex_w), uri_owl_Nothing = uri_ex_w],extension(10 ^ 7,bind([[_54155, _54157, _54159], [uri_ex_w, uri_owl_Nothing, 175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.1.1',plain,[175 ^ [] = uri_ex_w, -(icext(175 ^ [], 175 ^ []))],extension(108 ^ 8,bind([[_57283], [175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.1.1.1',plain,[icext(175 ^ [], 175 ^ []), -(icext(uri_owl_Nothing, uri_ex_w)), 175 ^ [] = uri_owl_Nothing, 175 ^ [] = uri_ex_w],extension(40 ^ 9,bind([[_55086, _55088, _55090, _55092], [uri_ex_w, 175 ^ [], uri_owl_Nothing, 175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.1.1.1.1',plain,[icext(uri_owl_Nothing, uri_ex_w)],extension(86 ^ 10,bind([[_56523], [uri_ex_w]]))).
% 48.60/47.89  ncf('1.5.1.1.1.1.2',plain,[-(175 ^ [] = uri_owl_Nothing)],reduction('1.5.1')).
% 48.60/47.89  ncf('1.5.1.1.1.1.3',plain,[-(175 ^ [] = uri_ex_w)],reduction('1.5.1.1')).
% 48.60/47.89  ncf('1.5.1.1.2',plain,[-(uri_owl_Nothing = uri_ex_w), icext(175 ^ [], uri_owl_Nothing)],extension(102 ^ 8,bind([[_57103], [uri_owl_Nothing]]))).
% 48.60/47.89  ncf('1.5.1.1.2.1',plain,[-(icext(175 ^ [], uri_owl_Nothing)), icext(175 ^ [], uri_ex_w), 175 ^ [] = 175 ^ [], uri_ex_w = uri_owl_Nothing],extension(40 ^ 9,bind([[_55086, _55088, _55090, _55092], [uri_owl_Nothing, uri_ex_w, 175 ^ [], 175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.1.2.1.1',plain,[-(icext(175 ^ [], uri_ex_w)), uri_ex_w = uri_ex_w],extension(108 ^ 10,bind([[_57283], [uri_ex_w]]))).
% 48.60/47.89  ncf('1.5.1.1.2.1.1.1',plain,[-(uri_ex_w = uri_ex_w)],reduction('1')).
% 48.60/47.89  ncf('1.5.1.1.2.1.2',plain,[-(175 ^ [] = 175 ^ [])],extension(2 ^ 10,bind([[_53844], [175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.1.2.1.3',plain,[-(uri_ex_w = uri_owl_Nothing)],reduction('1.5')).
% 48.60/47.89  ncf('1.5.1.2',plain,[-(175 ^ [] = uri_ex_w), icext(175 ^ [], 175 ^ [])],extension(102 ^ 7,bind([[_57103], [175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.2.1',plain,[-(icext(175 ^ [], 175 ^ [])), 141 : icext(uri_owl_Thing, 175 ^ []), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 8,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, 175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.2.1.1',plain,[-(icext(uri_owl_Thing, 175 ^ [])), ir(175 ^ [])],extension(80 ^ 11,bind([[_56349], [175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.2.1.1.1',plain,[-(ir(175 ^ []))],extension(72 ^ 12,bind([[_56074], [175 ^ []]]))).
% 48.60/47.89  ncf('1.5.1.2.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 9)).
% 48.60/47.89  ncf('1.5.2',plain,[-(uri_ex_w = uri_owl_Nothing), uri_owl_Nothing = uri_ex_w],extension(4 ^ 6,bind([[_53951, _53953], [uri_ex_w, uri_owl_Nothing]]))).
% 48.60/47.89  ncf('1.5.2.1',plain,[-(uri_owl_Nothing = uri_ex_w), icext(175 ^ [], uri_owl_Nothing)],extension(102 ^ 7,bind([[_57103], [uri_owl_Nothing]]))).
% 48.60/47.89  ncf('1.5.2.1.1',plain,[-(icext(175 ^ [], uri_owl_Nothing)), 141 : icext(uri_owl_Thing, uri_owl_Nothing), 141 : iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ [])],extension(133 ^ 8,bind([[_58109, _58111, _58417], [175 ^ [], uri_owl_Thing, uri_owl_Nothing]]))).
% 48.60/47.89  ncf('1.5.2.1.1.1',plain,[-(icext(uri_owl_Thing, uri_owl_Nothing)), ir(uri_owl_Nothing)],extension(80 ^ 11,bind([[_56349], [uri_owl_Nothing]]))).
% 48.60/47.89  ncf('1.5.2.1.1.1.1',plain,[-(ir(uri_owl_Nothing))],extension(72 ^ 12,bind([[_56074], [uri_owl_Nothing]]))).
% 48.60/47.89  ncf('1.5.2.1.1.2',plain,[-(iext(uri_owl_equivalentClass, uri_owl_Thing, 175 ^ []))],extension(178 ^ 9)).
% 48.60/47.89  %-----------------------------------------------------
% 48.60/47.89  End of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------