TSTP Solution File: SEU212+1 by nanoCoP---2.0

View Problem - Process Solution 
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% File     : nanoCoP---2.0
% Problem  : SEU212+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 12:02:40 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU212+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n004.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 13:08:39 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(377 ^ _54020) ^ [] : [-(relation(375 ^ []))], (379 ^ _54020) ^ [] : [-(function(375 ^ []))], (381 ^ _54020) ^ [] : [390 ^ _54020 : [(391 ^ _54020) ^ [] : [-(in(373 ^ [], relation_dom(375 ^ [])))], (393 ^ _54020) ^ [] : [-(374 ^ [] = apply(375 ^ [], 373 ^ []))], (395 ^ _54020) ^ [] : [in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ [])]], 382 ^ _54020 : [(383 ^ _54020) ^ [] : [-(in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ []))], (385 ^ _54020) ^ [] : [in(373 ^ [], relation_dom(375 ^ [])), 374 ^ [] = apply(375 ^ [], 373 ^ [])]]], (88 ^ _54020) ^ [_56852, _56854] : [_56854 = _56852, -(singleton(_56854) = singleton(_56852))], (94 ^ _54020) ^ [_57098, _57100, _57102, _57104] : [-(unordered_pair(_57104, _57100) = unordered_pair(_57102, _57098)), _57104 = _57102, _57100 = _57098], (104 ^ _54020) ^ [_57457, _57459, _57461, _57463] : [-(ordered_pair(_57463, _57459) = ordered_pair(_57461, _57457)), _57463 = _57461, _57459 = _57457], (114 ^ _54020) ^ [_57788, _57790] : [_57790 = _57788, -(relation_dom(_57790) = relation_dom(_57788))], (120 ^ _54020) ^ [_58014, _58016, _58018, _58020] : [-(apply(_58020, _58016) = apply(_58018, _58014)), _58020 = _58018, _58016 = _58014], (2 ^ _54020) ^ [_54164] : [-(_54164 = _54164)], (4 ^ _54020) ^ [_54271, _54273] : [_54273 = _54271, -(_54271 = _54273)], (10 ^ _54020) ^ [_54475, _54477, _54479] : [-(_54479 = _54475), _54479 = _54477, _54477 = _54475], (20 ^ _54020) ^ [_54788, _54790] : [-(relation_empty_yielding(_54788)), _54790 = _54788, relation_empty_yielding(_54790)], (30 ^ _54020) ^ [_55111, _55113, _55115, _55117] : [-(element(_55115, _55111)), element(_55117, _55113), _55117 = _55115, _55113 = _55111], (44 ^ _54020) ^ [_55527, _55529] : [-(empty(_55527)), _55529 = _55527, empty(_55529)], (54 ^ _54020) ^ [_55822, _55824] : [-(relation(_55822)), _55824 = _55822, relation(_55824)], (64 ^ _54020) ^ [_56117, _56119] : [-(function(_56117)), _56119 = _56117, function(_56119)], (74 ^ _54020) ^ [_56420, _56422, _56424, _56426] : [-(in(_56424, _56420)), in(_56426, _56422), _56426 = _56424, _56422 = _56420], (130 ^ _54020) ^ [_58363, _58365] : [in(_58365, _58363), in(_58363, _58365)], (136 ^ _54020) ^ [_58560] : [empty(_58560), -(function(_58560))], (142 ^ _54020) ^ [_58746] : [empty(_58746), -(relation(_58746))], (148 ^ _54020) ^ [_58931, _58933] : [-(unordered_pair(_58933, _58931) = unordered_pair(_58931, _58933))], (150 ^ _54020) ^ [_59032] : [relation(_59032), function(_59032), 157 ^ _54020 : [(158 ^ _54020) ^ [_59324, _59326] : [in(_59326, relation_dom(_59032)), 161 ^ _54020 : [(162 ^ _54020) ^ [] : [_59324 = apply(_59032, _59326), -(in(ordered_pair(_59326, _59324), _59032))], (168 ^ _54020) ^ [] : [in(ordered_pair(_59326, _59324), _59032), -(_59324 = apply(_59032, _59326))]]], (174 ^ _54020) ^ [_59776, _59778] : [-(in(_59778, relation_dom(_59032))), 177 ^ _54020 : [(178 ^ _54020) ^ [] : [_59776 = apply(_59032, _59778), -(_59776 = empty_set)], (184 ^ _54020) ^ [] : [_59776 = empty_set, -(_59776 = apply(_59032, _59778))]]]]], (190 ^ _54020) ^ [_60265] : [relation(_60265), 193 ^ _54020 : [(211 ^ _54020) ^ [_61077] : [-(_61077 = relation_dom(_60265)), 215 ^ _54020 : [(216 ^ _54020) ^ [] : [-(in(212 ^ [_60265, _61077], _61077))], (218 ^ _54020) ^ [_61340] : [in(ordered_pair(212 ^ [_60265, _61077], _61340), _60265)]], 220 ^ _54020 : [(221 ^ _54020) ^ [] : [-(in(ordered_pair(212 ^ [_60265, _61077], 219 ^ [_60265, _61077]), _60265))], (223 ^ _54020) ^ [] : [in(212 ^ [_60265, _61077], _61077)]]], (194 ^ _54020) ^ [_60446] : [_60446 = relation_dom(_60265), 197 ^ _54020 : [(198 ^ _54020) ^ [_60626] : [in(_60626, _60446), -(in(ordered_pair(_60626, 201 ^ [_60265, _60446, _60626]), _60265))], (205 ^ _54020) ^ [_60870] : [206 ^ _54020 : [(207 ^ _54020) ^ [_60949] : [in(ordered_pair(_60870, _60949), _60265)]], -(in(_60870, _60446))]]]]], (227 ^ _54020) ^ [_61705, _61707] : [-(ordered_pair(_61707, _61705) = unordered_pair(unordered_pair(_61707, _61705), singleton(_61707)))], (229 ^ _54020) ^ [] : [true___, -(true___)], (235 ^ _54020) ^ [] : [true___, -(true___)], (241 ^ _54020) ^ [] : [true___, -(true___)], (247 ^ _54020) ^ [] : [true___, -(true___)], (253 ^ _54020) ^ [] : [true___, -(true___)], (259 ^ _54020) ^ [] : [true___, -(true___)], (265 ^ _54020) ^ [] : [true___, -(true___)], (272 ^ _54020) ^ [_62668] : [-(element(270 ^ [_62668], _62668))], (274 ^ _54020) ^ [] : [-(empty(empty_set))], (276 ^ _54020) ^ [] : [-(relation(empty_set))], (278 ^ _54020) ^ [] : [-(relation_empty_yielding(empty_set))], (280 ^ _54020) ^ [] : [-(empty(empty_set))], (282 ^ _54020) ^ [_62980, _62982] : [empty(ordered_pair(_62982, _62980))], (284 ^ _54020) ^ [_63061] : [empty(singleton(_63061))], (286 ^ _54020) ^ [_63153, _63155] : [empty(unordered_pair(_63155, _63153))], (288 ^ _54020) ^ [] : [-(empty(empty_set))], (290 ^ _54020) ^ [] : [-(relation(empty_set))], (292 ^ _54020) ^ [_63358] : [empty(relation_dom(_63358)), -(empty(_63358)), relation(_63358)], (302 ^ _54020) ^ [_63635] : [empty(_63635), 305 ^ _54020 : [(306 ^ _54020) ^ [] : [-(empty(relation_dom(_63635)))], (308 ^ _54020) ^ [] : [-(relation(relation_dom(_63635)))]]], (311 ^ _54020) ^ [] : [-(relation(309 ^ []))], (313 ^ _54020) ^ [] : [-(function(309 ^ []))], (316 ^ _54020) ^ [] : [-(empty(314 ^ []))], (318 ^ _54020) ^ [] : [-(relation(314 ^ []))], (321 ^ _54020) ^ [] : [-(empty(319 ^ []))], (324 ^ _54020) ^ [] : [empty(322 ^ [])], (326 ^ _54020) ^ [] : [-(relation(322 ^ []))], (329 ^ _54020) ^ [] : [empty(327 ^ [])], (332 ^ _54020) ^ [] : [-(relation(330 ^ []))], (334 ^ _54020) ^ [] : [-(relation_empty_yielding(330 ^ []))], (336 ^ _54020) ^ [_64690, _64692] : [in(_64692, _64690), -(element(_64692, _64690))], (342 ^ _54020) ^ [_64900, _64902] : [element(_64902, _64900), -(empty(_64900)), -(in(_64902, _64900))], (352 ^ _54020) ^ [_65184] : [empty(_65184), -(_65184 = empty_set)], (358 ^ _54020) ^ [_65386, _65388] : [in(_65388, _65386), empty(_65386)], (364 ^ _54020) ^ [_65573, _65575] : [empty(_65575), -(_65575 = _65573), empty(_65573)]], input).
% 0.33/1.38  ncf('1',plain,[395 : in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ []), 385 : in(373 ^ [], relation_dom(375 ^ [])), 385 : 374 ^ [] = apply(375 ^ [], 373 ^ [])],start(381 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ [])), 162 : 374 ^ [] = apply(375 ^ [], 373 ^ []), 162 : in(373 ^ [], relation_dom(375 ^ [])), 158 : relation(375 ^ []), 158 : function(375 ^ [])],extension(150 ^ 3,bind([[_59032, _59324, _59326], [375 ^ [], 374 ^ [], 373 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(374 ^ [] = apply(375 ^ [], 373 ^ []))],extension(393 ^ 8)).
% 0.33/1.38  ncf('1.1.2',plain,[-(in(373 ^ [], relation_dom(375 ^ [])))],extension(391 ^ 6)).
% 0.33/1.38  ncf('1.1.3',plain,[-(relation(375 ^ []))],extension(377 ^ 4)).
% 0.33/1.38  ncf('1.1.4',plain,[-(function(375 ^ []))],extension(379 ^ 4)).
% 0.33/1.38  ncf('1.2',plain,[-(in(373 ^ [], relation_dom(375 ^ []))), 207 : in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ []), 205 : relation_dom(375 ^ []) = relation_dom(375 ^ []), 194 : relation(375 ^ [])],extension(190 ^ 3,bind([[_60265, _60446, _60870, _60949], [375 ^ [], relation_dom(375 ^ []), 373 ^ [], 374 ^ []]]))).
% 0.33/1.38  ncf('1.2.1',plain,[-(in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ []))],extension(383 ^ 10)).
% 0.33/1.38  ncf('1.2.2',plain,[-(relation_dom(375 ^ []) = relation_dom(375 ^ []))],extension(2 ^ 6,bind([[_54164], [relation_dom(375 ^ [])]]))).
% 0.33/1.38  ncf('1.2.3',plain,[-(relation(375 ^ []))],extension(377 ^ 4)).
% 0.33/1.38  ncf('1.3',plain,[-(374 ^ [] = apply(375 ^ [], 373 ^ [])), 168 : in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ []), 168 : in(373 ^ [], relation_dom(375 ^ [])), 158 : relation(375 ^ []), 158 : function(375 ^ [])],extension(150 ^ 3,bind([[_59032, _59324, _59326], [375 ^ [], 374 ^ [], 373 ^ []]]))).
% 0.33/1.38  ncf('1.3.1',plain,[-(in(ordered_pair(373 ^ [], 374 ^ []), 375 ^ []))],extension(383 ^ 8)).
% 0.33/1.38  ncf('1.3.2',plain,[-(in(373 ^ [], relation_dom(375 ^ [])))],lemmata('x')).
% 0.33/1.38  ncf('1.3.3',plain,[-(relation(375 ^ []))],extension(377 ^ 4)).
% 0.33/1.38  ncf('1.3.4',plain,[-(function(375 ^ []))],extension(379 ^ 4)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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