%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU230+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 12:02:47 EDT 2023

% Result   : Theorem 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SEU230+3 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 12:50:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(380 ^ _49822) ^ [] : [in(378 ^ [], succ(378 ^ []))], (108 ^ _49822) ^ [_53248, _53250] : [_53250 = _53248, -(singleton(_53250) = singleton(_53248))], (124 ^ _49822) ^ [_53805, _53807] : [_53807 = _53805, -(succ(_53807) = succ(_53805))], (114 ^ _49822) ^ [_53494, _53496, _53498, _53500] : [-(set_union2(_53500, _53496) = set_union2(_53498, _53494)), _53500 = _53498, _53496 = _53494], (2 ^ _49822) ^ [_49966] : [-(_49966 = _49966)], (4 ^ _49822) ^ [_50073, _50075] : [_50075 = _50073, -(_50073 = _50075)], (10 ^ _49822) ^ [_50277, _50279, _50281] : [-(_50281 = _50277), _50281 = _50279, _50279 = _50277], (20 ^ _49822) ^ [_50590, _50592] : [-(one_to_one(_50590)), _50592 = _50590, one_to_one(_50592)], (30 ^ _49822) ^ [_50885, _50887] : [-(relation_empty_yielding(_50885)), _50887 = _50885, relation_empty_yielding(_50887)], (40 ^ _49822) ^ [_51180, _51182] : [-(relation(_51180)), _51182 = _51180, relation(_51182)], (50 ^ _49822) ^ [_51475, _51477] : [-(relation_non_empty(_51475)), _51477 = _51475, relation_non_empty(_51477)], (60 ^ _49822) ^ [_51770, _51772] : [-(function(_51770)), _51772 = _51770, function(_51772)], (70 ^ _49822) ^ [_52093, _52095, _52097, _52099] : [-(element(_52097, _52093)), element(_52099, _52095), _52099 = _52097, _52095 = _52093], (84 ^ _49822) ^ [_52509, _52511] : [-(empty(_52509)), _52511 = _52509, empty(_52511)], (94 ^ _49822) ^ [_52812, _52814, _52816, _52818] : [-(in(_52816, _52812)), in(_52818, _52814), _52818 = _52816, _52814 = _52812], (130 ^ _49822) ^ [_54033, _54035] : [in(_54035, _54033), in(_54033, _54035)], (136 ^ _49822) ^ [_54230] : [empty(_54230), -(function(_54230))], (142 ^ _49822) ^ [_54416] : [empty(_54416), -(relation(_54416))], (148 ^ _49822) ^ [_54602] : [159 ^ _49822 : [(160 ^ _49822) ^ [] : [-(relation(_54602))], (162 ^ _49822) ^ [] : [-(function(_54602))], (164 ^ _49822) ^ [] : [-(one_to_one(_54602))]], relation(_54602), empty(_54602), function(_54602)], (166 ^ _49822) ^ [_55094, _55096] : [-(set_union2(_55096, _55094) = set_union2(_55094, _55096))], (168 ^ _49822) ^ [_55180] : [-(succ(_55180) = set_union2(_55180, singleton(_55180)))], (186 ^ _49822) ^ [_55844, _55846] : [-(_55844 = singleton(_55846)), 190 ^ _49822 : [(191 ^ _49822) ^ [] : [-(in(187 ^ [_55844, _55846], _55844))], (193 ^ _49822) ^ [] : [187 ^ [_55844, _55846] = _55846]], 194 ^ _49822 : [(195 ^ _49822) ^ [] : [-(187 ^ [_55844, _55846] = _55846)], (197 ^ _49822) ^ [] : [in(187 ^ [_55844, _55846], _55844)]]], (170 ^ _49822) ^ [_55323, _55325] : [_55323 = singleton(_55325), 173 ^ _49822 : [(174 ^ _49822) ^ [_55493] : [in(_55493, _55323), -(_55493 = _55325)], (180 ^ _49822) ^ [_55665] : [_55665 = _55325, -(in(_55665, _55323))]]], (223 ^ _49822) ^ [_57148, _57150, _57152] : [-(_57148 = set_union2(_57152, _57150)), 227 ^ _49822 : [(228 ^ _49822) ^ [] : [-(in(224 ^ [_57148, _57150, _57152], _57148))], (230 ^ _49822) ^ [] : [in(224 ^ [_57148, _57150, _57152], _57152)], (232 ^ _49822) ^ [] : [in(224 ^ [_57148, _57150, _57152], _57150)]], 233 ^ _49822 : [(240 ^ _49822) ^ [] : [in(224 ^ [_57148, _57150, _57152], _57148)], (234 ^ _49822) ^ [] : [-(in(224 ^ [_57148, _57150, _57152], _57152)), -(in(224 ^ [_57148, _57150, _57152], _57150))]]], (201 ^ _49822) ^ [_56423, _56425, _56427] : [_56423 = set_union2(_56427, _56425), 204 ^ _49822 : [(215 ^ _49822) ^ [_56883] : [216 ^ _49822 : [(217 ^ _49822) ^ [] : [in(_56883, _56427)], (219 ^ _49822) ^ [] : [in(_56883, _56425)]], -(in(_56883, _56423))], (205 ^ _49822) ^ [_56605] : [in(_56605, _56423), -(in(_56605, _56427)), -(in(_56605, _56425))]]], (245 ^ _49822) ^ [_57909] : [-(element(243 ^ [_57909], _57909))], (247 ^ _49822) ^ [] : [-(empty(empty_set))], (249 ^ _49822) ^ [] : [-(relation(empty_set))], (251 ^ _49822) ^ [] : [-(relation_empty_yielding(empty_set))], (253 ^ _49822) ^ [_58154] : [empty(succ(_58154))], (255 ^ _49822) ^ [] : [-(empty(empty_set))], (257 ^ _49822) ^ [_58315, _58317] : [-(relation(set_union2(_58317, _58315))), relation(_58317), relation(_58315)], (267 ^ _49822) ^ [_58614, _58616] : [-(empty(_58616)), empty(set_union2(_58616, _58614))], (273 ^ _49822) ^ [_58830, _58832] : [-(empty(_58832)), empty(set_union2(_58830, _58832))], (279 ^ _49822) ^ [] : [-(empty(empty_set))], (281 ^ _49822) ^ [] : [-(relation(empty_set))], (283 ^ _49822) ^ [_59139, _59141] : [-(set_union2(_59141, _59141) = _59141)], (286 ^ _49822) ^ [] : [-(relation(284 ^ []))], (288 ^ _49822) ^ [] : [-(function(284 ^ []))], (291 ^ _49822) ^ [] : [-(empty(289 ^ []))], (293 ^ _49822) ^ [] : [-(relation(289 ^ []))], (296 ^ _49822) ^ [] : [-(empty(294 ^ []))], (299 ^ _49822) ^ [] : [-(relation(297 ^ []))], (301 ^ _49822) ^ [] : [-(empty(297 ^ []))], (303 ^ _49822) ^ [] : [-(function(297 ^ []))], (306 ^ _49822) ^ [] : [empty(304 ^ [])], (308 ^ _49822) ^ [] : [-(relation(304 ^ []))], (311 ^ _49822) ^ [] : [empty(309 ^ [])], (314 ^ _49822) ^ [] : [-(relation(312 ^ []))], (316 ^ _49822) ^ [] : [-(function(312 ^ []))], (318 ^ _49822) ^ [] : [-(one_to_one(312 ^ []))], (321 ^ _49822) ^ [] : [-(relation(319 ^ []))], (323 ^ _49822) ^ [] : [-(relation_empty_yielding(319 ^ []))], (326 ^ _49822) ^ [] : [-(relation(324 ^ []))], (328 ^ _49822) ^ [] : [-(relation_empty_yielding(324 ^ []))], (330 ^ _49822) ^ [] : [-(function(324 ^ []))], (333 ^ _49822) ^ [] : [-(relation(331 ^ []))], (335 ^ _49822) ^ [] : [-(relation_non_empty(331 ^ []))], (337 ^ _49822) ^ [] : [-(function(331 ^ []))], (339 ^ _49822) ^ [_60834] : [-(set_union2(_60834, empty_set) = _60834)], (341 ^ _49822) ^ [_60944, _60946] : [in(_60946, _60944), -(element(_60946, _60944))], (347 ^ _49822) ^ [_61154, _61156] : [element(_61156, _61154), -(empty(_61154)), -(in(_61156, _61154))], (357 ^ _49822) ^ [_61438] : [empty(_61438), -(_61438 = empty_set)], (363 ^ _49822) ^ [_61640, _61642] : [in(_61642, _61640), empty(_61640)], (369 ^ _49822) ^ [_61827, _61829] : [empty(_61829), -(_61829 = _61827), empty(_61827)]], input).
% 0.34/1.39  ncf('1',plain,[in(378 ^ [], succ(378 ^ []))],start(380 ^ 0)).
% 0.34/1.39  ncf('1.1',plain,[-(in(378 ^ [], succ(378 ^ []))), 219 : in(378 ^ [], singleton(378 ^ [])), 215 : succ(378 ^ []) = set_union2(378 ^ [], singleton(378 ^ []))],extension(201 ^ 1,bind([[_56423, _56425, _56427, _56883], [succ(378 ^ []), singleton(378 ^ []), 378 ^ [], 378 ^ []]]))).
% 0.34/1.39  ncf('1.1.1',plain,[-(in(378 ^ [], singleton(378 ^ []))), 180 : 378 ^ [] = 378 ^ [], 180 : singleton(378 ^ []) = singleton(378 ^ [])],extension(170 ^ 6,bind([[_55323, _55325, _55665], [singleton(378 ^ []), 378 ^ [], 378 ^ []]]))).
% 0.34/1.39  ncf('1.1.1.1',plain,[-(378 ^ [] = 378 ^ [])],extension(2 ^ 9,bind([[_49966], [378 ^ []]]))).
% 0.34/1.39  ncf('1.1.1.2',plain,[-(singleton(378 ^ []) = singleton(378 ^ []))],extension(2 ^ 7,bind([[_49966], [singleton(378 ^ [])]]))).
% 0.34/1.39  ncf('1.1.2',plain,[-(succ(378 ^ []) = set_union2(378 ^ [], singleton(378 ^ [])))],extension(168 ^ 2,bind([[_55180], [378 ^ []]]))).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------