TSTP Solution File: SET355+4 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET355+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:55:45 EDT 2023

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET355+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n018.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 19:03:28 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, [(301 ^ _39854) ^ [] : [-(member(299 ^ [], 298 ^ []))], (303 ^ _39854) ^ [] : [subset(299 ^ [], sum(298 ^ []))], (2 ^ _39854) ^ [_39998] : [-(_39998 = _39998)], (4 ^ _39854) ^ [_40105, _40107] : [_40107 = _40105, -(_40105 = _40107)], (10 ^ _39854) ^ [_40309, _40311, _40313] : [-(_40313 = _40309), _40313 = _40311, _40311 = _40309], (20 ^ _39854) ^ [_40650, _40652, _40654, _40656] : [-(equal_set(_40654, _40650)), equal_set(_40656, _40652), _40656 = _40654, _40652 = _40650], (34 ^ _39854) ^ [_41094, _41096, _41098, _41100] : [-(member(_41098, _41094)), member(_41100, _41096), _41100 = _41098, _41096 = _41094], (48 ^ _39854) ^ [_41518, _41520, _41522, _41524] : [-(subset(_41522, _41518)), subset(_41524, _41520), _41524 = _41522, _41520 = _41518], (62 ^ _39854) ^ [_41944, _41946] : [_41946 = _41944, -(power_set(_41946) = power_set(_41944))], (68 ^ _39854) ^ [_42190, _42192, _42194, _42196] : [-(intersection(_42196, _42192) = intersection(_42194, _42190)), _42196 = _42194, _42192 = _42190], (78 ^ _39854) ^ [_42549, _42551, _42553, _42555] : [-(union(_42555, _42551) = union(_42553, _42549)), _42555 = _42553, _42551 = _42549], (88 ^ _39854) ^ [_42908, _42910, _42912, _42914] : [-(difference(_42914, _42910) = difference(_42912, _42908)), _42914 = _42912, _42910 = _42908], (98 ^ _39854) ^ [_43239, _43241] : [_43241 = _43239, -(singleton(_43241) = singleton(_43239))], (104 ^ _39854) ^ [_43485, _43487, _43489, _43491] : [-(unordered_pair(_43491, _43487) = unordered_pair(_43489, _43485)), _43491 = _43489, _43487 = _43485], (114 ^ _39854) ^ [_43816, _43818] : [_43818 = _43816, -(product(_43818) = product(_43816))], (120 ^ _39854) ^ [_44014, _44016] : [_44016 = _44014, -(sum(_44016) = sum(_44014))], (136 ^ _39854) ^ [_44601, _44603] : [138 ^ _39854 : [(139 ^ _39854) ^ [] : [-(member(137 ^ [_44601, _44603], _44603))], (141 ^ _39854) ^ [] : [member(137 ^ [_44601, _44603], _44601)]], -(subset(_44603, _44601))], (126 ^ _39854) ^ [_44287, _44289] : [subset(_44289, _44287), 129 ^ _39854 : [(130 ^ _39854) ^ [_44424] : [member(_44424, _44289), -(member(_44424, _44287))]]], (145 ^ _39854) ^ [_44987, _44989] : [equal_set(_44989, _44987), 148 ^ _39854 : [(149 ^ _39854) ^ [] : [-(subset(_44989, _44987))], (151 ^ _39854) ^ [] : [-(subset(_44987, _44989))]]], (153 ^ _39854) ^ [_45224, _45226] : [-(equal_set(_45226, _45224)), subset(_45226, _45224), subset(_45224, _45226)], (163 ^ _39854) ^ [_45554, _45556] : [member(_45556, power_set(_45554)), -(subset(_45556, _45554))], (169 ^ _39854) ^ [_45720, _45722] : [subset(_45722, _45720), -(member(_45722, power_set(_45720)))], (175 ^ _39854) ^ [_45979, _45981, _45983] : [member(_45983, intersection(_45981, _45979)), 178 ^ _39854 : [(179 ^ _39854) ^ [] : [-(member(_45983, _45981))], (181 ^ _39854) ^ [] : [-(member(_45983, _45979))]]], (183 ^ _39854) ^ [_46230, _46232, _46234] : [-(member(_46234, intersection(_46232, _46230))), member(_46234, _46232), member(_46234, _46230)], (203 ^ _39854) ^ [_46858, _46860, _46862] : [204 ^ _39854 : [(205 ^ _39854) ^ [] : [member(_46862, _46860)], (207 ^ _39854) ^ [] : [member(_46862, _46858)]], -(member(_46862, union(_46860, _46858)))], (193 ^ _39854) ^ [_46590, _46592, _46594] : [member(_46594, union(_46592, _46590)), -(member(_46594, _46592)), -(member(_46594, _46590))], (211 ^ _39854) ^ [_47128] : [member(_47128, empty_set)], (213 ^ _39854) ^ [_47278, _47280, _47282] : [member(_47282, difference(_47278, _47280)), 216 ^ _39854 : [(217 ^ _39854) ^ [] : [-(member(_47282, _47278))], (219 ^ _39854) ^ [] : [member(_47282, _47280)]]], (221 ^ _39854) ^ [_47530, _47532, _47534] : [-(member(_47534, difference(_47530, _47532))), member(_47534, _47530), -(member(_47534, _47532))], (231 ^ _39854) ^ [_47879, _47881] : [member(_47881, singleton(_47879)), -(_47881 = _47879)], (237 ^ _39854) ^ [_48045, _48047] : [_48047 = _48045, -(member(_48047, singleton(_48045)))], (253 ^ _39854) ^ [_48572, _48574, _48576] : [254 ^ _39854 : [(255 ^ _39854) ^ [] : [_48576 = _48574], (257 ^ _39854) ^ [] : [_48576 = _48572]], -(member(_48576, unordered_pair(_48574, _48572)))], (243 ^ _39854) ^ [_48304, _48306, _48308] : [member(_48308, unordered_pair(_48306, _48304)), -(_48308 = _48306), -(_48308 = _48304)], (261 ^ _39854) ^ [_48901, _48903] : [member(_48903, sum(_48901)), 265 ^ _39854 : [(266 ^ _39854) ^ [] : [-(member(264 ^ [_48901, _48903], _48901))], (268 ^ _39854) ^ [] : [-(member(_48903, 264 ^ [_48901, _48903]))]]], (270 ^ _39854) ^ [_49212, _49214] : [-(member(_49214, sum(_49212))), 271 ^ _39854 : [(272 ^ _39854) ^ [_49306] : [member(_49306, _49212), member(_49214, _49306)]]], (290 ^ _39854) ^ [_49907, _49909] : [292 ^ _39854 : [(293 ^ _39854) ^ [] : [-(member(291 ^ [_49907, _49909], _49907))], (295 ^ _39854) ^ [] : [member(_49909, 291 ^ [_49907, _49909])]], -(member(_49909, product(_49907)))], (280 ^ _39854) ^ [_49589, _49591] : [member(_49591, product(_49589)), 283 ^ _39854 : [(284 ^ _39854) ^ [_49730] : [member(_49730, _49589), -(member(_49591, _49730))]]]], input).
% 0.33/1.38  ncf('1',plain,[subset(299 ^ [], sum(298 ^ []))],start(303 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(subset(299 ^ [], sum(298 ^ []))), 139 : -(member(137 ^ [sum(298 ^ []), 299 ^ []], 299 ^ []))],extension(136 ^ 1,bind([[_44601, _44603], [sum(298 ^ []), 299 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[member(137 ^ [sum(298 ^ []), 299 ^ []], 299 ^ []), 272 : member(299 ^ [], 298 ^ []), 272 : -(member(137 ^ [sum(298 ^ []), 299 ^ []], sum(298 ^ [])))],extension(270 ^ 4,bind([[_49212, _49214, _49306], [298 ^ [], 137 ^ [sum(298 ^ []), 299 ^ []], 299 ^ []]]))).
% 0.33/1.38  ncf('1.1.1.1',plain,[-(member(299 ^ [], 298 ^ []))],extension(301 ^ 7)).
% 0.33/1.38  ncf('1.1.1.2',plain,[member(137 ^ [sum(298 ^ []), 299 ^ []], sum(298 ^ []))],extension(141 ^ 5)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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