TSTP Solution File: SEU193+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU193+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 12:02:35 EDT 2023

% Result   : Theorem 0.23s 1.30s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SEU193+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08  % Command  : nanocop.sh %s %d
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May 18 13:30:19 EDT 2023
% 0.07/0.27  % CPUTime  : 
% 0.23/1.30  
% 0.23/1.30  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.23/1.30  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/1.30  %-----------------------------------------------------
% 0.23/1.30  ncf(matrix, plain, [(383 ^ _55195) ^ [] : [-(relation(381 ^ []))], (385 ^ _55195) ^ [] : [subset(relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ [])], (82 ^ _55195) ^ [_57907, _57909, _57911, _57913] : [-(ordered_pair(_57913, _57909) = ordered_pair(_57911, _57907)), _57913 = _57911, _57909 = _57907], (92 ^ _55195) ^ [_58238, _58240] : [_58240 = _58238, -(singleton(_58240) = singleton(_58238))], (98 ^ _55195) ^ [_58484, _58486, _58488, _58490] : [-(unordered_pair(_58490, _58486) = unordered_pair(_58488, _58484)), _58490 = _58488, _58486 = _58484], (108 ^ _55195) ^ [_58815, _58817] : [_58817 = _58815, -(powerset(_58817) = powerset(_58815))], (114 ^ _55195) ^ [_59041, _59043, _59045, _59047] : [-(relation_dom_restriction(_59047, _59043) = relation_dom_restriction(_59045, _59041)), _59047 = _59045, _59043 = _59041], (2 ^ _55195) ^ [_55339] : [-(_55339 = _55339)], (4 ^ _55195) ^ [_55446, _55448] : [_55448 = _55446, -(_55446 = _55448)], (10 ^ _55195) ^ [_55650, _55652, _55654] : [-(_55654 = _55650), _55654 = _55652, _55652 = _55650], (20 ^ _55195) ^ [_55991, _55993, _55995, _55997] : [-(element(_55995, _55991)), element(_55997, _55993), _55997 = _55995, _55993 = _55991], (34 ^ _55195) ^ [_56435, _56437, _56439, _56441] : [-(in(_56439, _56435)), in(_56441, _56437), _56441 = _56439, _56437 = _56435], (48 ^ _55195) ^ [_56851, _56853] : [-(empty(_56851)), _56853 = _56851, empty(_56853)], (58 ^ _55195) ^ [_57146, _57148] : [-(relation(_57146)), _57148 = _57146, relation(_57148)], (68 ^ _55195) ^ [_57449, _57451, _57453, _57455] : [-(subset(_57453, _57449)), subset(_57455, _57451), _57455 = _57453, _57451 = _57449], (124 ^ _55195) ^ [_59390, _59392] : [in(_59392, _59390), in(_59390, _59392)], (130 ^ _55195) ^ [_59587] : [empty(_59587), -(relation(_59587))], (136 ^ _55195) ^ [_59772, _59774] : [-(unordered_pair(_59774, _59772) = unordered_pair(_59772, _59774))], (138 ^ _55195) ^ [_59873] : [relation(_59873), 141 ^ _55195 : [(142 ^ _55195) ^ [_60059, _60061] : [relation(_60059), 145 ^ _55195 : [(168 ^ _55195) ^ [] : [-(_60059 = relation_dom_restriction(_59873, _60061)), 181 ^ _55195 : [(182 ^ _55195) ^ [] : [-(in(169 ^ [_59873, _60059, _60061], _60061))], (184 ^ _55195) ^ [] : [-(in(ordered_pair(169 ^ [_59873, _60059, _60061], 170 ^ [_59873, _60059, _60061]), _59873))], (186 ^ _55195) ^ [] : [in(ordered_pair(169 ^ [_59873, _60059, _60061], 170 ^ [_59873, _60059, _60061]), _60059)]], 173 ^ _55195 : [(174 ^ _55195) ^ [] : [-(in(ordered_pair(169 ^ [_59873, _60059, _60061], 170 ^ [_59873, _60059, _60061]), _60059))], (176 ^ _55195) ^ [] : [in(169 ^ [_59873, _60059, _60061], _60061), in(ordered_pair(169 ^ [_59873, _60059, _60061], 170 ^ [_59873, _60059, _60061]), _59873)]]], (146 ^ _55195) ^ [] : [_60059 = relation_dom_restriction(_59873, _60061), 149 ^ _55195 : [(150 ^ _55195) ^ [_60384, _60386] : [in(ordered_pair(_60386, _60384), _60059), 153 ^ _55195 : [(154 ^ _55195) ^ [] : [-(in(_60386, _60061))], (156 ^ _55195) ^ [] : [-(in(ordered_pair(_60386, _60384), _59873))]]], (158 ^ _55195) ^ [_60663, _60665] : [-(in(ordered_pair(_60665, _60663), _60059)), in(_60665, _60061), in(ordered_pair(_60665, _60663), _59873)]]]]]]], (190 ^ _55195) ^ [_61818] : [relation(_61818), 193 ^ _55195 : [(194 ^ _55195) ^ [_61976] : [relation(_61976), 197 ^ _55195 : [(208 ^ _55195) ^ [] : [211 ^ _55195 : [(212 ^ _55195) ^ [] : [-(in(ordered_pair(209 ^ [_61818, _61976], 210 ^ [_61818, _61976]), _61818))], (214 ^ _55195) ^ [] : [in(ordered_pair(209 ^ [_61818, _61976], 210 ^ [_61818, _61976]), _61976)]], -(subset(_61818, _61976))], (198 ^ _55195) ^ [] : [subset(_61818, _61976), 201 ^ _55195 : [(202 ^ _55195) ^ [_62252, _62254] : [in(ordered_pair(_62254, _62252), _61818), -(in(ordered_pair(_62254, _62252), _61976))]]]]]]], (218 ^ _55195) ^ [_62857, _62859] : [-(ordered_pair(_62859, _62857) = unordered_pair(unordered_pair(_62859, _62857), singleton(_62859)))], (220 ^ _55195) ^ [] : [true___, -(true___)], (226 ^ _55195) ^ [] : [true___, -(true___)], (232 ^ _55195) ^ [] : [true___, -(true___)], (238 ^ _55195) ^ [] : [true___, -(true___)], (244 ^ _55195) ^ [] : [true___, -(true___)], (250 ^ _55195) ^ [_63572, _63574] : [relation(_63574), -(relation(relation_dom_restriction(_63574, _63572)))], (256 ^ _55195) ^ [] : [true___, -(true___)], (263 ^ _55195) ^ [_63913] : [-(element(261 ^ [_63913], _63913))], (265 ^ _55195) ^ [_63995] : [empty(powerset(_63995))], (267 ^ _55195) ^ [] : [-(empty(empty_set))], (269 ^ _55195) ^ [_64140, _64142] : [empty(ordered_pair(_64142, _64140))], (271 ^ _55195) ^ [_64221] : [empty(singleton(_64221))], (273 ^ _55195) ^ [_64313, _64315] : [empty(unordered_pair(_64315, _64313))], (275 ^ _55195) ^ [] : [-(empty(empty_set))], (277 ^ _55195) ^ [] : [-(relation(empty_set))], (280 ^ _55195) ^ [] : [-(empty(278 ^ []))], (282 ^ _55195) ^ [] : [-(relation(278 ^ []))], (284 ^ _55195) ^ [_64667] : [-(empty(_64667)), 288 ^ _55195 : [(289 ^ _55195) ^ [] : [-(element(287 ^ [_64667], powerset(_64667)))], (291 ^ _55195) ^ [] : [empty(287 ^ [_64667])]]], (294 ^ _55195) ^ [] : [-(empty(292 ^ []))], (297 ^ _55195) ^ [] : [empty(295 ^ [])], (299 ^ _55195) ^ [] : [-(relation(295 ^ []))], (302 ^ _55195) ^ [_65289] : [-(element(300 ^ [_65289], powerset(_65289)))], (304 ^ _55195) ^ [_65340] : [-(empty(300 ^ [_65340]))], (307 ^ _55195) ^ [] : [empty(305 ^ [])], (309 ^ _55195) ^ [_65528, _65530] : [-(subset(_65530, _65530))], (311 ^ _55195) ^ [_65637, _65639] : [in(_65639, _65637), -(element(_65639, _65637))], (317 ^ _55195) ^ [_65847, _65849] : [element(_65849, _65847), -(empty(_65847)), -(in(_65849, _65847))], (327 ^ _55195) ^ [_66174, _66176] : [element(_66176, powerset(_66174)), -(subset(_66176, _66174))], (333 ^ _55195) ^ [_66340, _66342] : [subset(_66342, _66340), -(element(_66342, powerset(_66340)))], (339 ^ _55195) ^ [_66570, _66572, _66574] : [-(element(_66574, _66570)), in(_66574, _66572), element(_66572, powerset(_66570))], (349 ^ _55195) ^ [_66897, _66899, _66901] : [in(_66901, _66899), element(_66899, powerset(_66897)), empty(_66897)], (359 ^ _55195) ^ [_67193] : [empty(_67193), -(_67193 = empty_set)], (365 ^ _55195) ^ [_67395, _67397] : [in(_67397, _67395), empty(_67395)], (371 ^ _55195) ^ [_67582, _67584] : [empty(_67584), -(_67584 = _67582), empty(_67582)]], input).
% 0.23/1.30  ncf('1',plain,[subset(relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ [])],start(385 ^ 0)).
% 0.23/1.30  ncf('1.1',plain,[-(subset(relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ [])), 214 : in(ordered_pair(209 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []], 210 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []]), 381 ^ []), 208 : relation(381 ^ []), 194 : relation(relation_dom_restriction(381 ^ [], 380 ^ []))],extension(190 ^ 1,bind([[_61818, _61976], [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []]]))).
% 0.23/1.30  ncf('1.1.1',plain,[-(in(ordered_pair(209 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []], 210 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []]), 381 ^ [])), 150 : in(ordered_pair(209 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []], 210 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []]), relation_dom_restriction(381 ^ [], 380 ^ [])), 150 : relation_dom_restriction(381 ^ [], 380 ^ []) = relation_dom_restriction(381 ^ [], 380 ^ []), 146 : relation(relation_dom_restriction(381 ^ [], 380 ^ [])), 142 : relation(381 ^ [])],extension(138 ^ 8,bind([[_59873, _60059, _60061, _60384, _60386], [381 ^ [], relation_dom_restriction(381 ^ [], 380 ^ []), 380 ^ [], 210 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []], 209 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []]]]))).
% 0.23/1.30  ncf('1.1.1.1',plain,[-(in(ordered_pair(209 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []], 210 ^ [relation_dom_restriction(381 ^ [], 380 ^ []), 381 ^ []]), relation_dom_restriction(381 ^ [], 380 ^ [])))],extension(212 ^ 15)).
% 0.23/1.30  ncf('1.1.1.2',plain,[-(relation_dom_restriction(381 ^ [], 380 ^ []) = relation_dom_restriction(381 ^ [], 380 ^ []))],extension(2 ^ 13,bind([[_55339], [relation_dom_restriction(381 ^ [], 380 ^ [])]]))).
% 0.23/1.30  ncf('1.1.1.3',plain,[-(relation(relation_dom_restriction(381 ^ [], 380 ^ []))), relation(381 ^ [])],extension(250 ^ 11,bind([[_63572, _63574], [380 ^ [], 381 ^ []]]))).
% 0.23/1.30  ncf('1.1.1.3.1',plain,[-(relation(381 ^ []))],extension(383 ^ 12)).
% 0.23/1.30  ncf('1.1.1.4',plain,[-(relation(381 ^ []))],extension(383 ^ 9)).
% 0.23/1.30  ncf('1.1.2',plain,[-(relation(381 ^ []))],extension(383 ^ 4)).
% 0.23/1.30  ncf('1.1.3',plain,[-(relation(relation_dom_restriction(381 ^ [], 380 ^ []))), relation(381 ^ [])],extension(250 ^ 2,bind([[_63572, _63574], [380 ^ [], 381 ^ []]]))).
% 0.23/1.30  ncf('1.1.3.1',plain,[-(relation(381 ^ []))],extension(383 ^ 3)).
% 0.23/1.30  %-----------------------------------------------------
% 0.23/1.30  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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