TSTP Solution File: SET062+4 by nanoCoP---2.0

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% File     : nanoCoP---2.0
% Problem  : SET062+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 11:55:15 EDT 2023

% Result   : Theorem 0.31s 1.39s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET062+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n014.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 18:59:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.31/1.39  
% 0.31/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.39  %-----------------------------------------------------
% 0.31/1.39  ncf(matrix, plain, [(300 ^ _38668) ^ [] : [subset(empty_set, 298 ^ [])], (2 ^ _38668) ^ [_38812] : [-(_38812 = _38812)], (4 ^ _38668) ^ [_38919, _38921] : [_38921 = _38919, -(_38919 = _38921)], (10 ^ _38668) ^ [_39123, _39125, _39127] : [-(_39127 = _39123), _39127 = _39125, _39125 = _39123], (20 ^ _38668) ^ [_39464, _39466, _39468, _39470] : [-(equal_set(_39468, _39464)), equal_set(_39470, _39466), _39470 = _39468, _39466 = _39464], (34 ^ _38668) ^ [_39908, _39910, _39912, _39914] : [-(member(_39912, _39908)), member(_39914, _39910), _39914 = _39912, _39910 = _39908], (48 ^ _38668) ^ [_40332, _40334, _40336, _40338] : [-(subset(_40336, _40332)), subset(_40338, _40334), _40338 = _40336, _40334 = _40332], (62 ^ _38668) ^ [_40758, _40760] : [_40760 = _40758, -(power_set(_40760) = power_set(_40758))], (68 ^ _38668) ^ [_41004, _41006, _41008, _41010] : [-(intersection(_41010, _41006) = intersection(_41008, _41004)), _41010 = _41008, _41006 = _41004], (78 ^ _38668) ^ [_41363, _41365, _41367, _41369] : [-(union(_41369, _41365) = union(_41367, _41363)), _41369 = _41367, _41365 = _41363], (88 ^ _38668) ^ [_41722, _41724, _41726, _41728] : [-(difference(_41728, _41724) = difference(_41726, _41722)), _41728 = _41726, _41724 = _41722], (98 ^ _38668) ^ [_42053, _42055] : [_42055 = _42053, -(singleton(_42055) = singleton(_42053))], (104 ^ _38668) ^ [_42299, _42301, _42303, _42305] : [-(unordered_pair(_42305, _42301) = unordered_pair(_42303, _42299)), _42305 = _42303, _42301 = _42299], (114 ^ _38668) ^ [_42630, _42632] : [_42632 = _42630, -(sum(_42632) = sum(_42630))], (120 ^ _38668) ^ [_42828, _42830] : [_42830 = _42828, -(product(_42830) = product(_42828))], (136 ^ _38668) ^ [_43415, _43417] : [138 ^ _38668 : [(139 ^ _38668) ^ [] : [-(member(137 ^ [_43415, _43417], _43417))], (141 ^ _38668) ^ [] : [member(137 ^ [_43415, _43417], _43415)]], -(subset(_43417, _43415))], (126 ^ _38668) ^ [_43101, _43103] : [subset(_43103, _43101), 129 ^ _38668 : [(130 ^ _38668) ^ [_43238] : [member(_43238, _43103), -(member(_43238, _43101))]]], (145 ^ _38668) ^ [_43801, _43803] : [equal_set(_43803, _43801), 148 ^ _38668 : [(149 ^ _38668) ^ [] : [-(subset(_43803, _43801))], (151 ^ _38668) ^ [] : [-(subset(_43801, _43803))]]], (153 ^ _38668) ^ [_44038, _44040] : [-(equal_set(_44040, _44038)), subset(_44040, _44038), subset(_44038, _44040)], (163 ^ _38668) ^ [_44368, _44370] : [member(_44370, power_set(_44368)), -(subset(_44370, _44368))], (169 ^ _38668) ^ [_44534, _44536] : [subset(_44536, _44534), -(member(_44536, power_set(_44534)))], (175 ^ _38668) ^ [_44793, _44795, _44797] : [member(_44797, intersection(_44795, _44793)), 178 ^ _38668 : [(179 ^ _38668) ^ [] : [-(member(_44797, _44795))], (181 ^ _38668) ^ [] : [-(member(_44797, _44793))]]], (183 ^ _38668) ^ [_45044, _45046, _45048] : [-(member(_45048, intersection(_45046, _45044))), member(_45048, _45046), member(_45048, _45044)], (203 ^ _38668) ^ [_45672, _45674, _45676] : [204 ^ _38668 : [(205 ^ _38668) ^ [] : [member(_45676, _45674)], (207 ^ _38668) ^ [] : [member(_45676, _45672)]], -(member(_45676, union(_45674, _45672)))], (193 ^ _38668) ^ [_45404, _45406, _45408] : [member(_45408, union(_45406, _45404)), -(member(_45408, _45406)), -(member(_45408, _45404))], (211 ^ _38668) ^ [_45942] : [member(_45942, empty_set)], (213 ^ _38668) ^ [_46092, _46094, _46096] : [member(_46096, difference(_46092, _46094)), 216 ^ _38668 : [(217 ^ _38668) ^ [] : [-(member(_46096, _46092))], (219 ^ _38668) ^ [] : [member(_46096, _46094)]]], (221 ^ _38668) ^ [_46344, _46346, _46348] : [-(member(_46348, difference(_46344, _46346))), member(_46348, _46344), -(member(_46348, _46346))], (231 ^ _38668) ^ [_46693, _46695] : [member(_46695, singleton(_46693)), -(_46695 = _46693)], (237 ^ _38668) ^ [_46859, _46861] : [_46861 = _46859, -(member(_46861, singleton(_46859)))], (253 ^ _38668) ^ [_47386, _47388, _47390] : [254 ^ _38668 : [(255 ^ _38668) ^ [] : [_47390 = _47388], (257 ^ _38668) ^ [] : [_47390 = _47386]], -(member(_47390, unordered_pair(_47388, _47386)))], (243 ^ _38668) ^ [_47118, _47120, _47122] : [member(_47122, unordered_pair(_47120, _47118)), -(_47122 = _47120), -(_47122 = _47118)], (261 ^ _38668) ^ [_47715, _47717] : [member(_47717, sum(_47715)), 265 ^ _38668 : [(266 ^ _38668) ^ [] : [-(member(264 ^ [_47715, _47717], _47715))], (268 ^ _38668) ^ [] : [-(member(_47717, 264 ^ [_47715, _47717]))]]], (270 ^ _38668) ^ [_48026, _48028] : [-(member(_48028, sum(_48026))), 271 ^ _38668 : [(272 ^ _38668) ^ [_48120] : [member(_48120, _48026), member(_48028, _48120)]]], (290 ^ _38668) ^ [_48721, _48723] : [292 ^ _38668 : [(293 ^ _38668) ^ [] : [-(member(291 ^ [_48721, _48723], _48721))], (295 ^ _38668) ^ [] : [member(_48723, 291 ^ [_48721, _48723])]], -(member(_48723, product(_48721)))], (280 ^ _38668) ^ [_48403, _48405] : [member(_48405, product(_48403)), 283 ^ _38668 : [(284 ^ _38668) ^ [_48544] : [member(_48544, _48403), -(member(_48405, _48544))]]]], input).
% 0.31/1.39  ncf('1',plain,[member(137 ^ [298 ^ [], empty_set], empty_set)],start(211 ^ 0,bind([[_45942], [137 ^ [298 ^ [], empty_set]]]))).
% 0.31/1.39  ncf('1.1',plain,[-(member(137 ^ [298 ^ [], empty_set], empty_set)), -(subset(empty_set, 298 ^ []))],extension(136 ^ 1,bind([[_43415, _43417], [298 ^ [], empty_set]]))).
% 0.31/1.39  ncf('1.1.1',plain,[subset(empty_set, 298 ^ [])],extension(300 ^ 2)).
% 0.31/1.39  %-----------------------------------------------------
% 0.31/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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