TSTP Solution File: SWV409+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV409+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 12:20:35 EDT 2023
% Result : Theorem 0.38s 1.39s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV409+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 19 02:12:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.38/1.39
% 0.38/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.39 %-----------------------------------------------------
% 0.38/1.39 ncf(matrix, plain, [(307 ^ _61200) ^ [] : [-(contains_slb(303 ^ [], 304 ^ []))], (309 ^ _61200) ^ [] : [-(strictly_less_than(304 ^ [], 305 ^ []))], (311 ^ _61200) ^ [] : [pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], 305 ^ [])], (313 ^ _61200) ^ [_72576] : [pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], _72576), less_than(305 ^ [], _72576)], (90 ^ _61200) ^ [_64226, _64228, _64230, _64232] : [-(remove_slb(_64232, _64228) = remove_slb(_64230, _64226)), _64232 = _64230, _64228 = _64226], (100 ^ _61200) ^ [_64585, _64587, _64589, _64591] : [-(lookup_slb(_64591, _64587) = lookup_slb(_64589, _64585)), _64591 = _64589, _64587 = _64585], (110 ^ _61200) ^ [_64944, _64946, _64948, _64950] : [-(insert_slb(_64950, _64946) = insert_slb(_64948, _64944)), _64950 = _64948, _64946 = _64944], (120 ^ _61200) ^ [_65303, _65305, _65307, _65309] : [-(pair(_65309, _65305) = pair(_65307, _65303)), _65309 = _65307, _65305 = _65303], (130 ^ _61200) ^ [_65642, _65644, _65646, _65648] : [-(update_slb(_65648, _65644) = update_slb(_65646, _65642)), _65648 = _65646, _65644 = _65642], (2 ^ _61200) ^ [_61344] : [-(_61344 = _61344)], (4 ^ _61200) ^ [_61451, _61453] : [_61453 = _61451, -(_61451 = _61453)], (10 ^ _61200) ^ [_61655, _61657, _61659] : [-(_61659 = _61655), _61659 = _61657, _61657 = _61655], (20 ^ _61200) ^ [_61968, _61970] : [-(isnonempty_slb(_61968)), _61970 = _61968, isnonempty_slb(_61970)], (30 ^ _61200) ^ [_62291, _62293, _62295, _62297] : [-(contains_slb(_62295, _62291)), contains_slb(_62297, _62293), _62297 = _62295, _62293 = _62291], (44 ^ _61200) ^ [_62735, _62737, _62739, _62741] : [-(strictly_less_than(_62739, _62735)), strictly_less_than(_62741, _62737), _62741 = _62739, _62737 = _62735], (76 ^ _61200) ^ [_63768, _63770, _63772, _63774] : [-(less_than(_63772, _63768)), less_than(_63774, _63770), _63774 = _63772, _63770 = _63768], (58 ^ _61200) ^ [_63207, _63209, _63211, _63213, _63215, _63217] : [-(pair_in_list(_63215, _63211, _63207)), pair_in_list(_63217, _63213, _63209), _63217 = _63215, _63213 = _63211, _63209 = _63207], (140 ^ _61200) ^ [_66025, _66027, _66029] : [-(less_than(_66029, _66025)), less_than(_66029, _66027), less_than(_66027, _66025)], (150 ^ _61200) ^ [_66334, _66336] : [-(less_than(_66336, _66334)), -(less_than(_66334, _66336))], (156 ^ _61200) ^ [_66516] : [-(less_than(_66516, _66516))], (176 ^ _61200) ^ [_67145] : [-(less_than(bottom, _67145))], (158 ^ _61200) ^ [_66652, _66654] : [strictly_less_than(_66654, _66652), 161 ^ _61200 : [(162 ^ _61200) ^ [] : [-(less_than(_66654, _66652))], (164 ^ _61200) ^ [] : [less_than(_66652, _66654)]]], (166 ^ _61200) ^ [_66890, _66892] : [-(strictly_less_than(_66892, _66890)), less_than(_66892, _66890), -(less_than(_66890, _66892))], (266 ^ _61200) ^ [_70809, _70811] : [contains_slb(_70811, _70809), -(pair_in_list(_70811, _70809, 269 ^ [_70809, _70811]))], (273 ^ _61200) ^ [_71107, _71109, _71111, _71113] : [-(pair_in_list(update_slb(_71113, _71107), _71111, _71107)), pair_in_list(_71113, _71111, _71109), strictly_less_than(_71111, _71107), strictly_less_than(_71109, _71107)], (287 ^ _61200) ^ [_71541, _71543, _71545, _71547] : [299 ^ _61200 : [(300 ^ _61200) ^ [] : [-(pair_in_list(update_slb(_71547, _71541), _71545, 298 ^ [_71541, _71543, _71545, _71547]))], (302 ^ _61200) ^ [] : [-(less_than(_71541, 298 ^ [_71541, _71543, _71545, _71547]))]], pair_in_list(_71547, _71545, _71543), strictly_less_than(_71545, _71541), less_than(_71541, _71543)], (178 ^ _61200) ^ [] : [isnonempty_slb(create_slb)], (180 ^ _61200) ^ [_67331, _67333, _67335] : [-(isnonempty_slb(insert_slb(_67335, pair(_67333, _67331))))], (182 ^ _61200) ^ [_67417] : [contains_slb(create_slb, _67417)], (194 ^ _61200) ^ [_67865, _67867, _67869, _67871] : [195 ^ _61200 : [(196 ^ _61200) ^ [] : [contains_slb(_67871, _67867)], (198 ^ _61200) ^ [] : [_67869 = _67867]], -(contains_slb(insert_slb(_67871, pair(_67869, _67865)), _67867))], (184 ^ _61200) ^ [_67581, _67583, _67585, _67587] : [contains_slb(insert_slb(_67587, pair(_67585, _67581)), _67583), -(contains_slb(_67587, _67583)), -(_67585 = _67583)], (202 ^ _61200) ^ [_68163, _68165] : [pair_in_list(create_slb, _68165, _68163)], (204 ^ _61200) ^ [_68344, _68346, _68348, _68350, _68352] : [pair_in_list(insert_slb(_68352, pair(_68350, _68346)), _68348, _68344), -(pair_in_list(_68352, _68348, _68344)), 211 ^ _61200 : [(212 ^ _61200) ^ [] : [-(_68350 = _68348)], (214 ^ _61200) ^ [] : [-(_68346 = _68344)]]], (216 ^ _61200) ^ [_68723, _68725, _68727, _68729, _68731] : [-(pair_in_list(insert_slb(_68731, pair(_68729, _68725)), _68727, _68723)), 217 ^ _61200 : [(218 ^ _61200) ^ [] : [pair_in_list(_68731, _68727, _68723)], (220 ^ _61200) ^ [] : [_68729 = _68727, _68725 = _68723]]], (228 ^ _61200) ^ [_69149, _69151, _69153] : [-(remove_slb(insert_slb(_69153, pair(_69151, _69149)), _69151) = _69153)], (230 ^ _61200) ^ [_69297, _69299, _69301, _69303] : [-(remove_slb(insert_slb(_69303, pair(_69301, _69297)), _69299) = insert_slb(remove_slb(_69303, _69299), pair(_69301, _69297))), -(_69301 = _69299), contains_slb(_69303, _69299)], (240 ^ _61200) ^ [_69654, _69656, _69658] : [-(lookup_slb(insert_slb(_69658, pair(_69656, _69654)), _69656) = _69654)], (242 ^ _61200) ^ [_69802, _69804, _69806, _69808] : [-(lookup_slb(insert_slb(_69808, pair(_69806, _69802)), _69804) = lookup_slb(_69808, _69804)), -(_69806 = _69804), contains_slb(_69808, _69804)], (252 ^ _61200) ^ [_70119] : [-(update_slb(create_slb, _70119) = create_slb)], (254 ^ _61200) ^ [_70257, _70259, _70261, _70263] : [strictly_less_than(_70257, _70259), -(update_slb(insert_slb(_70263, pair(_70261, _70257)), _70259) = insert_slb(update_slb(_70263, _70259), pair(_70261, _70259)))], (260 ^ _61200) ^ [_70523, _70525, _70527, _70529] : [less_than(_70525, _70523), -(update_slb(insert_slb(_70529, pair(_70527, _70523)), _70525) = insert_slb(update_slb(_70529, _70525), pair(_70527, _70523)))]], input).
% 0.38/1.39 ncf('1',plain,[pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], 298 ^ [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []]), less_than(305 ^ [], 298 ^ [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []])],start(313 ^ 0,bind([[_72576], [298 ^ [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []]]]))).
% 0.38/1.39 ncf('1.1',plain,[-(pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], 298 ^ [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []])), pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]), strictly_less_than(304 ^ [], 305 ^ []), less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []])],extension(287 ^ 1,bind([[_71541, _71543, _71545, _71547], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.1.1',plain,[-(pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []])), pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]), 303 ^ [] = 303 ^ [], 304 ^ [] = 304 ^ [], 269 ^ [304 ^ [], 303 ^ []] = 269 ^ [304 ^ [], 303 ^ []]],extension(58 ^ 2,bind([[_63207, _63209, _63211, _63213, _63215, _63217], [269 ^ [304 ^ [], 303 ^ []], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 304 ^ [], 303 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.1.1.1',plain,[-(pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []])), contains_slb(303 ^ [], 304 ^ [])],extension(266 ^ 3,bind([[_70809, _70811], [304 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.1.1.1.1',plain,[-(contains_slb(303 ^ [], 304 ^ []))],extension(307 ^ 4)).
% 0.38/1.39 ncf('1.1.1.2',plain,[-(303 ^ [] = 303 ^ [])],extension(2 ^ 3,bind([[_61344], [303 ^ []]]))).
% 0.38/1.39 ncf('1.1.1.3',plain,[-(304 ^ [] = 304 ^ [])],extension(2 ^ 3,bind([[_61344], [304 ^ []]]))).
% 0.38/1.39 ncf('1.1.1.4',plain,[-(269 ^ [304 ^ [], 303 ^ []] = 269 ^ [304 ^ [], 303 ^ []])],extension(2 ^ 3,bind([[_61344], [269 ^ [304 ^ [], 303 ^ []]]]))).
% 0.38/1.39 ncf('1.1.2',plain,[-(strictly_less_than(304 ^ [], 305 ^ []))],extension(309 ^ 2)).
% 0.38/1.39 ncf('1.1.3',plain,[-(less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []])), -(strictly_less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ [])), less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ [])],extension(166 ^ 2,bind([[_66890, _66892], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []]]]))).
% 0.38/1.39 ncf('1.1.3.1',plain,[strictly_less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ []), -(pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], 305 ^ [])), pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]), strictly_less_than(304 ^ [], 305 ^ [])],extension(273 ^ 3,bind([[_71107, _71109, _71111, _71113], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.1.3.1.1',plain,[pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], 305 ^ [])],extension(311 ^ 4)).
% 0.38/1.39 ncf('1.1.3.1.2',plain,[-(pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]))],lemmata('[1].x')).
% 0.38/1.39 ncf('1.1.3.1.3',plain,[-(strictly_less_than(304 ^ [], 305 ^ []))],lemmata('[1].x')).
% 0.38/1.39 ncf('1.1.3.2',plain,[-(less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ [])), -(less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []]))],extension(150 ^ 3,bind([[_66334, _66336], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []]]]))).
% 0.38/1.39 ncf('1.1.3.2.1',plain,[less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []])],reduction('1.1')).
% 0.38/1.39 ncf('1.2',plain,[-(less_than(305 ^ [], 298 ^ [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []])), pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]), strictly_less_than(304 ^ [], 305 ^ []), less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []])],extension(287 ^ 1,bind([[_71541, _71543, _71545, _71547], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.2.1',plain,[-(pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []])), pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]), 303 ^ [] = 303 ^ [], 304 ^ [] = 304 ^ [], 269 ^ [304 ^ [], 303 ^ []] = 269 ^ [304 ^ [], 303 ^ []]],extension(58 ^ 2,bind([[_63207, _63209, _63211, _63213, _63215, _63217], [269 ^ [304 ^ [], 303 ^ []], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 304 ^ [], 303 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.2.1.1',plain,[-(pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []])), contains_slb(303 ^ [], 304 ^ [])],extension(266 ^ 3,bind([[_70809, _70811], [304 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.2.1.1.1',plain,[-(contains_slb(303 ^ [], 304 ^ []))],extension(307 ^ 4)).
% 0.38/1.39 ncf('1.2.1.2',plain,[-(303 ^ [] = 303 ^ [])],extension(2 ^ 3,bind([[_61344], [303 ^ []]]))).
% 0.38/1.39 ncf('1.2.1.3',plain,[-(304 ^ [] = 304 ^ [])],extension(2 ^ 3,bind([[_61344], [304 ^ []]]))).
% 0.38/1.39 ncf('1.2.1.4',plain,[-(269 ^ [304 ^ [], 303 ^ []] = 269 ^ [304 ^ [], 303 ^ []])],extension(2 ^ 3,bind([[_61344], [269 ^ [304 ^ [], 303 ^ []]]]))).
% 0.38/1.39 ncf('1.2.2',plain,[-(strictly_less_than(304 ^ [], 305 ^ []))],extension(309 ^ 2)).
% 0.38/1.39 ncf('1.2.3',plain,[-(less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []])), -(strictly_less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ [])), less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ [])],extension(166 ^ 2,bind([[_66890, _66892], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []]]]))).
% 0.38/1.39 ncf('1.2.3.1',plain,[strictly_less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ []), -(pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], 305 ^ [])), pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]), strictly_less_than(304 ^ [], 305 ^ [])],extension(273 ^ 3,bind([[_71107, _71109, _71111, _71113], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []], 304 ^ [], 303 ^ []]]))).
% 0.38/1.39 ncf('1.2.3.1.1',plain,[pair_in_list(update_slb(303 ^ [], 305 ^ []), 304 ^ [], 305 ^ [])],extension(311 ^ 4)).
% 0.38/1.39 ncf('1.2.3.1.2',plain,[-(pair_in_list(303 ^ [], 304 ^ [], 269 ^ [304 ^ [], 303 ^ []]))],lemmata('[1].x')).
% 0.38/1.39 ncf('1.2.3.1.3',plain,[-(strictly_less_than(304 ^ [], 305 ^ []))],lemmata('[1].x')).
% 0.38/1.39 ncf('1.2.3.2',plain,[-(less_than(269 ^ [304 ^ [], 303 ^ []], 305 ^ [])), -(less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []]))],extension(150 ^ 3,bind([[_66334, _66336], [305 ^ [], 269 ^ [304 ^ [], 303 ^ []]]]))).
% 0.38/1.39 ncf('1.2.3.2.1',plain,[less_than(305 ^ [], 269 ^ [304 ^ [], 303 ^ []])],reduction('1.2')).
% 0.38/1.39 %-----------------------------------------------------
% 0.38/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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