TSTP Solution File: SET691+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET691+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:56:18 EDT 2023
% Result : Theorem 0.32s 1.38s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET691+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 19:01:30 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.32/1.38
% 0.32/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 ncf(matrix, plain, [(300 ^ _40880) ^ [] : [301 ^ _40880 : [(302 ^ _40880) ^ [] : [-(subset(298 ^ [], empty_set))], (304 ^ _40880) ^ [] : [equal_set(298 ^ [], empty_set)]], 305 ^ _40880 : [(306 ^ _40880) ^ [] : [-(equal_set(298 ^ [], empty_set))], (308 ^ _40880) ^ [] : [subset(298 ^ [], empty_set)]]], (2 ^ _40880) ^ [_41024] : [-(_41024 = _41024)], (4 ^ _40880) ^ [_41131, _41133] : [_41133 = _41131, -(_41131 = _41133)], (10 ^ _40880) ^ [_41335, _41337, _41339] : [-(_41339 = _41335), _41339 = _41337, _41337 = _41335], (20 ^ _40880) ^ [_41676, _41678, _41680, _41682] : [-(member(_41680, _41676)), member(_41682, _41678), _41682 = _41680, _41678 = _41676], (34 ^ _40880) ^ [_42120, _42122, _42124, _42126] : [-(subset(_42124, _42120)), subset(_42126, _42122), _42126 = _42124, _42122 = _42120], (48 ^ _40880) ^ [_42544, _42546, _42548, _42550] : [-(equal_set(_42548, _42544)), equal_set(_42550, _42546), _42550 = _42548, _42546 = _42544], (62 ^ _40880) ^ [_42970, _42972] : [_42972 = _42970, -(power_set(_42972) = power_set(_42970))], (68 ^ _40880) ^ [_43216, _43218, _43220, _43222] : [-(intersection(_43222, _43218) = intersection(_43220, _43216)), _43222 = _43220, _43218 = _43216], (78 ^ _40880) ^ [_43575, _43577, _43579, _43581] : [-(union(_43581, _43577) = union(_43579, _43575)), _43581 = _43579, _43577 = _43575], (88 ^ _40880) ^ [_43934, _43936, _43938, _43940] : [-(difference(_43940, _43936) = difference(_43938, _43934)), _43940 = _43938, _43936 = _43934], (98 ^ _40880) ^ [_44265, _44267] : [_44267 = _44265, -(singleton(_44267) = singleton(_44265))], (104 ^ _40880) ^ [_44511, _44513, _44515, _44517] : [-(unordered_pair(_44517, _44513) = unordered_pair(_44515, _44511)), _44517 = _44515, _44513 = _44511], (114 ^ _40880) ^ [_44842, _44844] : [_44844 = _44842, -(sum(_44844) = sum(_44842))], (120 ^ _40880) ^ [_45040, _45042] : [_45042 = _45040, -(product(_45042) = product(_45040))], (136 ^ _40880) ^ [_45627, _45629] : [138 ^ _40880 : [(139 ^ _40880) ^ [] : [-(member(137 ^ [_45627, _45629], _45629))], (141 ^ _40880) ^ [] : [member(137 ^ [_45627, _45629], _45627)]], -(subset(_45629, _45627))], (126 ^ _40880) ^ [_45313, _45315] : [subset(_45315, _45313), 129 ^ _40880 : [(130 ^ _40880) ^ [_45450] : [member(_45450, _45315), -(member(_45450, _45313))]]], (145 ^ _40880) ^ [_46013, _46015] : [equal_set(_46015, _46013), 148 ^ _40880 : [(149 ^ _40880) ^ [] : [-(subset(_46015, _46013))], (151 ^ _40880) ^ [] : [-(subset(_46013, _46015))]]], (153 ^ _40880) ^ [_46250, _46252] : [-(equal_set(_46252, _46250)), subset(_46252, _46250), subset(_46250, _46252)], (163 ^ _40880) ^ [_46580, _46582] : [member(_46582, power_set(_46580)), -(subset(_46582, _46580))], (169 ^ _40880) ^ [_46746, _46748] : [subset(_46748, _46746), -(member(_46748, power_set(_46746)))], (175 ^ _40880) ^ [_47005, _47007, _47009] : [member(_47009, intersection(_47007, _47005)), 178 ^ _40880 : [(179 ^ _40880) ^ [] : [-(member(_47009, _47007))], (181 ^ _40880) ^ [] : [-(member(_47009, _47005))]]], (183 ^ _40880) ^ [_47256, _47258, _47260] : [-(member(_47260, intersection(_47258, _47256))), member(_47260, _47258), member(_47260, _47256)], (203 ^ _40880) ^ [_47884, _47886, _47888] : [204 ^ _40880 : [(205 ^ _40880) ^ [] : [member(_47888, _47886)], (207 ^ _40880) ^ [] : [member(_47888, _47884)]], -(member(_47888, union(_47886, _47884)))], (193 ^ _40880) ^ [_47616, _47618, _47620] : [member(_47620, union(_47618, _47616)), -(member(_47620, _47618)), -(member(_47620, _47616))], (211 ^ _40880) ^ [_48154] : [member(_48154, empty_set)], (213 ^ _40880) ^ [_48304, _48306, _48308] : [member(_48308, difference(_48304, _48306)), 216 ^ _40880 : [(217 ^ _40880) ^ [] : [-(member(_48308, _48304))], (219 ^ _40880) ^ [] : [member(_48308, _48306)]]], (221 ^ _40880) ^ [_48556, _48558, _48560] : [-(member(_48560, difference(_48556, _48558))), member(_48560, _48556), -(member(_48560, _48558))], (231 ^ _40880) ^ [_48905, _48907] : [member(_48907, singleton(_48905)), -(_48907 = _48905)], (237 ^ _40880) ^ [_49071, _49073] : [_49073 = _49071, -(member(_49073, singleton(_49071)))], (253 ^ _40880) ^ [_49598, _49600, _49602] : [254 ^ _40880 : [(255 ^ _40880) ^ [] : [_49602 = _49600], (257 ^ _40880) ^ [] : [_49602 = _49598]], -(member(_49602, unordered_pair(_49600, _49598)))], (243 ^ _40880) ^ [_49330, _49332, _49334] : [member(_49334, unordered_pair(_49332, _49330)), -(_49334 = _49332), -(_49334 = _49330)], (261 ^ _40880) ^ [_49927, _49929] : [member(_49929, sum(_49927)), 265 ^ _40880 : [(266 ^ _40880) ^ [] : [-(member(264 ^ [_49927, _49929], _49927))], (268 ^ _40880) ^ [] : [-(member(_49929, 264 ^ [_49927, _49929]))]]], (270 ^ _40880) ^ [_50238, _50240] : [-(member(_50240, sum(_50238))), 271 ^ _40880 : [(272 ^ _40880) ^ [_50332] : [member(_50332, _50238), member(_50240, _50332)]]], (290 ^ _40880) ^ [_50933, _50935] : [292 ^ _40880 : [(293 ^ _40880) ^ [] : [-(member(291 ^ [_50933, _50935], _50933))], (295 ^ _40880) ^ [] : [member(_50935, 291 ^ [_50933, _50935])]], -(member(_50935, product(_50933)))], (280 ^ _40880) ^ [_50615, _50617] : [member(_50617, product(_50615)), 283 ^ _40880 : [(284 ^ _40880) ^ [_50756] : [member(_50756, _50615), -(member(_50617, _50756))]]]], input).
% 0.32/1.38 ncf('1',plain,[304 : equal_set(298 ^ [], empty_set), 308 : subset(298 ^ [], empty_set)],start(300 ^ 0)).
% 0.32/1.38 ncf('1.1',plain,[-(equal_set(298 ^ [], empty_set)), subset(298 ^ [], empty_set), subset(empty_set, 298 ^ [])],extension(153 ^ 3,bind([[_46250, _46252], [empty_set, 298 ^ []]]))).
% 0.32/1.38 ncf('1.1.1',plain,[-(subset(298 ^ [], empty_set))],extension(302 ^ 4)).
% 0.32/1.38 ncf('1.1.2',plain,[-(subset(empty_set, 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], empty_set], empty_set))],extension(136 ^ 4,bind([[_45627, _45629], [298 ^ [], empty_set]]))).
% 0.32/1.38 ncf('1.1.2.1',plain,[member(137 ^ [298 ^ [], empty_set], empty_set)],extension(211 ^ 7,bind([[_48154], [137 ^ [298 ^ [], empty_set]]]))).
% 0.32/1.38 ncf('1.2',plain,[-(subset(298 ^ [], empty_set)), subset(298 ^ [], empty_set), 298 ^ [] = 298 ^ [], empty_set = empty_set],extension(34 ^ 3,bind([[_42120, _42122, _42124, _42126], [empty_set, empty_set, 298 ^ [], 298 ^ []]]))).
% 0.32/1.38 ncf('1.2.1',plain,[-(subset(298 ^ [], empty_set)), subset(298 ^ [], empty_set), 298 ^ [] = 298 ^ [], empty_set = empty_set],extension(34 ^ 4,bind([[_42120, _42122, _42124, _42126], [empty_set, empty_set, 298 ^ [], 298 ^ []]]))).
% 0.32/1.38 ncf('1.2.1.1',plain,[-(subset(298 ^ [], empty_set)), equal_set(298 ^ [], empty_set)],extension(145 ^ 5,bind([[_46013, _46015], [empty_set, 298 ^ []]]))).
% 0.32/1.38 ncf('1.2.1.1.1',plain,[-(equal_set(298 ^ [], empty_set))],extension(306 ^ 6)).
% 0.32/1.38 ncf('1.2.1.2',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 5,bind([[_41024], [298 ^ []]]))).
% 0.32/1.38 ncf('1.2.1.3',plain,[-(empty_set = empty_set)],extension(2 ^ 5,bind([[_41024], [empty_set]]))).
% 0.32/1.38 ncf('1.2.2',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 4,bind([[_41024], [298 ^ []]]))).
% 0.32/1.38 ncf('1.2.3',plain,[-(empty_set = empty_set)],extension(2 ^ 4,bind([[_41024], [empty_set]]))).
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------