TSTP Solution File: SET063+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET063+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 11:55:15 EDT 2023
% Result : Theorem 0.51s 1.41s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET063+4 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : nanocop.sh %s %d
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 19:09:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.51/1.41
% 0.51/1.41 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.51/1.41 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/1.41 %-----------------------------------------------------
% 0.51/1.41 ncf(matrix, plain, [(300 ^ _39925) ^ [] : [equal_set(intersection(298 ^ [], empty_set), empty_set)], (2 ^ _39925) ^ [_40069] : [-(_40069 = _40069)], (4 ^ _39925) ^ [_40176, _40178] : [_40178 = _40176, -(_40176 = _40178)], (10 ^ _39925) ^ [_40380, _40382, _40384] : [-(_40384 = _40380), _40384 = _40382, _40382 = _40380], (20 ^ _39925) ^ [_40721, _40723, _40725, _40727] : [-(subset(_40725, _40721)), subset(_40727, _40723), _40727 = _40725, _40723 = _40721], (34 ^ _39925) ^ [_41165, _41167, _41169, _41171] : [-(member(_41169, _41165)), member(_41171, _41167), _41171 = _41169, _41167 = _41165], (48 ^ _39925) ^ [_41589, _41591, _41593, _41595] : [-(equal_set(_41593, _41589)), equal_set(_41595, _41591), _41595 = _41593, _41591 = _41589], (62 ^ _39925) ^ [_42015, _42017] : [_42017 = _42015, -(power_set(_42017) = power_set(_42015))], (68 ^ _39925) ^ [_42261, _42263, _42265, _42267] : [-(union(_42267, _42263) = union(_42265, _42261)), _42267 = _42265, _42263 = _42261], (78 ^ _39925) ^ [_42620, _42622, _42624, _42626] : [-(difference(_42626, _42622) = difference(_42624, _42620)), _42626 = _42624, _42622 = _42620], (88 ^ _39925) ^ [_42951, _42953] : [_42953 = _42951, -(singleton(_42953) = singleton(_42951))], (94 ^ _39925) ^ [_43197, _43199, _43201, _43203] : [-(unordered_pair(_43203, _43199) = unordered_pair(_43201, _43197)), _43203 = _43201, _43199 = _43197], (104 ^ _39925) ^ [_43528, _43530] : [_43530 = _43528, -(sum(_43530) = sum(_43528))], (110 ^ _39925) ^ [_43746, _43748] : [_43748 = _43746, -(product(_43748) = product(_43746))], (116 ^ _39925) ^ [_43972, _43974, _43976, _43978] : [-(intersection(_43978, _43974) = intersection(_43976, _43972)), _43978 = _43976, _43974 = _43972], (136 ^ _39925) ^ [_44672, _44674] : [138 ^ _39925 : [(139 ^ _39925) ^ [] : [-(member(137 ^ [_44672, _44674], _44674))], (141 ^ _39925) ^ [] : [member(137 ^ [_44672, _44674], _44672)]], -(subset(_44674, _44672))], (126 ^ _39925) ^ [_44358, _44360] : [subset(_44360, _44358), 129 ^ _39925 : [(130 ^ _39925) ^ [_44495] : [member(_44495, _44360), -(member(_44495, _44358))]]], (145 ^ _39925) ^ [_45058, _45060] : [equal_set(_45060, _45058), 148 ^ _39925 : [(149 ^ _39925) ^ [] : [-(subset(_45060, _45058))], (151 ^ _39925) ^ [] : [-(subset(_45058, _45060))]]], (153 ^ _39925) ^ [_45295, _45297] : [-(equal_set(_45297, _45295)), subset(_45297, _45295), subset(_45295, _45297)], (163 ^ _39925) ^ [_45625, _45627] : [member(_45627, power_set(_45625)), -(subset(_45627, _45625))], (169 ^ _39925) ^ [_45791, _45793] : [subset(_45793, _45791), -(member(_45793, power_set(_45791)))], (175 ^ _39925) ^ [_46050, _46052, _46054] : [member(_46054, intersection(_46052, _46050)), 178 ^ _39925 : [(179 ^ _39925) ^ [] : [-(member(_46054, _46052))], (181 ^ _39925) ^ [] : [-(member(_46054, _46050))]]], (183 ^ _39925) ^ [_46301, _46303, _46305] : [-(member(_46305, intersection(_46303, _46301))), member(_46305, _46303), member(_46305, _46301)], (203 ^ _39925) ^ [_46929, _46931, _46933] : [204 ^ _39925 : [(205 ^ _39925) ^ [] : [member(_46933, _46931)], (207 ^ _39925) ^ [] : [member(_46933, _46929)]], -(member(_46933, union(_46931, _46929)))], (193 ^ _39925) ^ [_46661, _46663, _46665] : [member(_46665, union(_46663, _46661)), -(member(_46665, _46663)), -(member(_46665, _46661))], (211 ^ _39925) ^ [_47199] : [member(_47199, empty_set)], (213 ^ _39925) ^ [_47349, _47351, _47353] : [member(_47353, difference(_47349, _47351)), 216 ^ _39925 : [(217 ^ _39925) ^ [] : [-(member(_47353, _47349))], (219 ^ _39925) ^ [] : [member(_47353, _47351)]]], (221 ^ _39925) ^ [_47601, _47603, _47605] : [-(member(_47605, difference(_47601, _47603))), member(_47605, _47601), -(member(_47605, _47603))], (231 ^ _39925) ^ [_47950, _47952] : [member(_47952, singleton(_47950)), -(_47952 = _47950)], (237 ^ _39925) ^ [_48116, _48118] : [_48118 = _48116, -(member(_48118, singleton(_48116)))], (253 ^ _39925) ^ [_48643, _48645, _48647] : [254 ^ _39925 : [(255 ^ _39925) ^ [] : [_48647 = _48645], (257 ^ _39925) ^ [] : [_48647 = _48643]], -(member(_48647, unordered_pair(_48645, _48643)))], (243 ^ _39925) ^ [_48375, _48377, _48379] : [member(_48379, unordered_pair(_48377, _48375)), -(_48379 = _48377), -(_48379 = _48375)], (261 ^ _39925) ^ [_48972, _48974] : [member(_48974, sum(_48972)), 265 ^ _39925 : [(266 ^ _39925) ^ [] : [-(member(264 ^ [_48972, _48974], _48972))], (268 ^ _39925) ^ [] : [-(member(_48974, 264 ^ [_48972, _48974]))]]], (270 ^ _39925) ^ [_49283, _49285] : [-(member(_49285, sum(_49283))), 271 ^ _39925 : [(272 ^ _39925) ^ [_49377] : [member(_49377, _49283), member(_49285, _49377)]]], (290 ^ _39925) ^ [_49978, _49980] : [292 ^ _39925 : [(293 ^ _39925) ^ [] : [-(member(291 ^ [_49978, _49980], _49978))], (295 ^ _39925) ^ [] : [member(_49980, 291 ^ [_49978, _49980])]], -(member(_49980, product(_49978)))], (280 ^ _39925) ^ [_49660, _49662] : [member(_49662, product(_49660)), 283 ^ _39925 : [(284 ^ _39925) ^ [_49801] : [member(_49801, _49660), -(member(_49662, _49801))]]]], input).
% 0.51/1.41 ncf('1',plain,[equal_set(intersection(298 ^ [], empty_set), empty_set)],start(300 ^ 0)).
% 0.51/1.41 ncf('1.1',plain,[-(equal_set(intersection(298 ^ [], empty_set), empty_set)), subset(intersection(298 ^ [], empty_set), empty_set), subset(empty_set, intersection(298 ^ [], empty_set))],extension(153 ^ 1,bind([[_45295, _45297], [empty_set, intersection(298 ^ [], empty_set)]]))).
% 0.51/1.41 ncf('1.1.1',plain,[-(subset(intersection(298 ^ [], empty_set), empty_set)), 139 : -(member(137 ^ [empty_set, intersection(298 ^ [], empty_set)], intersection(298 ^ [], empty_set)))],extension(136 ^ 2,bind([[_44672, _44674], [empty_set, intersection(298 ^ [], empty_set)]]))).
% 0.51/1.41 ncf('1.1.1.1',plain,[member(137 ^ [empty_set, intersection(298 ^ [], empty_set)], intersection(298 ^ [], empty_set)), 181 : -(member(137 ^ [empty_set, intersection(298 ^ [], empty_set)], empty_set))],extension(175 ^ 5,bind([[_46050, _46052, _46054], [empty_set, 298 ^ [], 137 ^ [empty_set, intersection(298 ^ [], empty_set)]]]))).
% 0.51/1.41 ncf('1.1.1.1.1',plain,[member(137 ^ [empty_set, intersection(298 ^ [], empty_set)], empty_set)],extension(141 ^ 8)).
% 0.51/1.41 ncf('1.1.2',plain,[-(subset(empty_set, intersection(298 ^ [], empty_set))), 139 : -(member(137 ^ [intersection(298 ^ [], empty_set), empty_set], empty_set))],extension(136 ^ 2,bind([[_44672, _44674], [intersection(298 ^ [], empty_set), empty_set]]))).
% 0.51/1.41 ncf('1.1.2.1',plain,[member(137 ^ [intersection(298 ^ [], empty_set), empty_set], empty_set)],extension(211 ^ 5,bind([[_47199], [137 ^ [intersection(298 ^ [], empty_set), empty_set]]]))).
% 0.51/1.41 %-----------------------------------------------------
% 0.51/1.41 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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