TSTP Solution File: SET704+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET704+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 11:56:19 EDT 2023
% Result : Theorem 0.35s 1.37s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET704+4 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n028.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 19:19:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.35/1.37
% 0.35/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 ncf(matrix, plain, [(301 ^ _39860) ^ [] : [-(member(299 ^ [], 298 ^ []))], (303 ^ _39860) ^ [] : [subset(product(298 ^ []), 299 ^ [])], (2 ^ _39860) ^ [_40004] : [-(_40004 = _40004)], (4 ^ _39860) ^ [_40111, _40113] : [_40113 = _40111, -(_40111 = _40113)], (10 ^ _39860) ^ [_40315, _40317, _40319] : [-(_40319 = _40315), _40319 = _40317, _40317 = _40315], (20 ^ _39860) ^ [_40656, _40658, _40660, _40662] : [-(equal_set(_40660, _40656)), equal_set(_40662, _40658), _40662 = _40660, _40658 = _40656], (34 ^ _39860) ^ [_41100, _41102, _41104, _41106] : [-(member(_41104, _41100)), member(_41106, _41102), _41106 = _41104, _41102 = _41100], (48 ^ _39860) ^ [_41524, _41526, _41528, _41530] : [-(subset(_41528, _41524)), subset(_41530, _41526), _41530 = _41528, _41526 = _41524], (62 ^ _39860) ^ [_41950, _41952] : [_41952 = _41950, -(power_set(_41952) = power_set(_41950))], (68 ^ _39860) ^ [_42196, _42198, _42200, _42202] : [-(intersection(_42202, _42198) = intersection(_42200, _42196)), _42202 = _42200, _42198 = _42196], (78 ^ _39860) ^ [_42555, _42557, _42559, _42561] : [-(union(_42561, _42557) = union(_42559, _42555)), _42561 = _42559, _42557 = _42555], (88 ^ _39860) ^ [_42914, _42916, _42918, _42920] : [-(difference(_42920, _42916) = difference(_42918, _42914)), _42920 = _42918, _42916 = _42914], (98 ^ _39860) ^ [_43245, _43247] : [_43247 = _43245, -(singleton(_43247) = singleton(_43245))], (104 ^ _39860) ^ [_43491, _43493, _43495, _43497] : [-(unordered_pair(_43497, _43493) = unordered_pair(_43495, _43491)), _43497 = _43495, _43493 = _43491], (114 ^ _39860) ^ [_43822, _43824] : [_43824 = _43822, -(sum(_43824) = sum(_43822))], (120 ^ _39860) ^ [_44020, _44022] : [_44022 = _44020, -(product(_44022) = product(_44020))], (136 ^ _39860) ^ [_44607, _44609] : [138 ^ _39860 : [(139 ^ _39860) ^ [] : [-(member(137 ^ [_44607, _44609], _44609))], (141 ^ _39860) ^ [] : [member(137 ^ [_44607, _44609], _44607)]], -(subset(_44609, _44607))], (126 ^ _39860) ^ [_44293, _44295] : [subset(_44295, _44293), 129 ^ _39860 : [(130 ^ _39860) ^ [_44430] : [member(_44430, _44295), -(member(_44430, _44293))]]], (145 ^ _39860) ^ [_44993, _44995] : [equal_set(_44995, _44993), 148 ^ _39860 : [(149 ^ _39860) ^ [] : [-(subset(_44995, _44993))], (151 ^ _39860) ^ [] : [-(subset(_44993, _44995))]]], (153 ^ _39860) ^ [_45230, _45232] : [-(equal_set(_45232, _45230)), subset(_45232, _45230), subset(_45230, _45232)], (163 ^ _39860) ^ [_45560, _45562] : [member(_45562, power_set(_45560)), -(subset(_45562, _45560))], (169 ^ _39860) ^ [_45726, _45728] : [subset(_45728, _45726), -(member(_45728, power_set(_45726)))], (175 ^ _39860) ^ [_45985, _45987, _45989] : [member(_45989, intersection(_45987, _45985)), 178 ^ _39860 : [(179 ^ _39860) ^ [] : [-(member(_45989, _45987))], (181 ^ _39860) ^ [] : [-(member(_45989, _45985))]]], (183 ^ _39860) ^ [_46236, _46238, _46240] : [-(member(_46240, intersection(_46238, _46236))), member(_46240, _46238), member(_46240, _46236)], (203 ^ _39860) ^ [_46864, _46866, _46868] : [204 ^ _39860 : [(205 ^ _39860) ^ [] : [member(_46868, _46866)], (207 ^ _39860) ^ [] : [member(_46868, _46864)]], -(member(_46868, union(_46866, _46864)))], (193 ^ _39860) ^ [_46596, _46598, _46600] : [member(_46600, union(_46598, _46596)), -(member(_46600, _46598)), -(member(_46600, _46596))], (211 ^ _39860) ^ [_47134] : [member(_47134, empty_set)], (213 ^ _39860) ^ [_47284, _47286, _47288] : [member(_47288, difference(_47284, _47286)), 216 ^ _39860 : [(217 ^ _39860) ^ [] : [-(member(_47288, _47284))], (219 ^ _39860) ^ [] : [member(_47288, _47286)]]], (221 ^ _39860) ^ [_47536, _47538, _47540] : [-(member(_47540, difference(_47536, _47538))), member(_47540, _47536), -(member(_47540, _47538))], (231 ^ _39860) ^ [_47885, _47887] : [member(_47887, singleton(_47885)), -(_47887 = _47885)], (237 ^ _39860) ^ [_48051, _48053] : [_48053 = _48051, -(member(_48053, singleton(_48051)))], (253 ^ _39860) ^ [_48578, _48580, _48582] : [254 ^ _39860 : [(255 ^ _39860) ^ [] : [_48582 = _48580], (257 ^ _39860) ^ [] : [_48582 = _48578]], -(member(_48582, unordered_pair(_48580, _48578)))], (243 ^ _39860) ^ [_48310, _48312, _48314] : [member(_48314, unordered_pair(_48312, _48310)), -(_48314 = _48312), -(_48314 = _48310)], (261 ^ _39860) ^ [_48907, _48909] : [member(_48909, sum(_48907)), 265 ^ _39860 : [(266 ^ _39860) ^ [] : [-(member(264 ^ [_48907, _48909], _48907))], (268 ^ _39860) ^ [] : [-(member(_48909, 264 ^ [_48907, _48909]))]]], (270 ^ _39860) ^ [_49218, _49220] : [-(member(_49220, sum(_49218))), 271 ^ _39860 : [(272 ^ _39860) ^ [_49312] : [member(_49312, _49218), member(_49220, _49312)]]], (290 ^ _39860) ^ [_49913, _49915] : [292 ^ _39860 : [(293 ^ _39860) ^ [] : [-(member(291 ^ [_49913, _49915], _49913))], (295 ^ _39860) ^ [] : [member(_49915, 291 ^ [_49913, _49915])]], -(member(_49915, product(_49913)))], (280 ^ _39860) ^ [_49595, _49597] : [member(_49597, product(_49595)), 283 ^ _39860 : [(284 ^ _39860) ^ [_49736] : [member(_49736, _49595), -(member(_49597, _49736))]]]], input).
% 0.35/1.37 ncf('1',plain,[subset(product(298 ^ []), 299 ^ [])],start(303 ^ 0)).
% 0.35/1.37 ncf('1.1',plain,[-(subset(product(298 ^ []), 299 ^ [])), 139 : -(member(137 ^ [299 ^ [], product(298 ^ [])], product(298 ^ [])))],extension(136 ^ 1,bind([[_44607, _44609], [299 ^ [], product(298 ^ [])]]))).
% 0.35/1.37 ncf('1.1.1',plain,[member(137 ^ [299 ^ [], product(298 ^ [])], product(298 ^ [])), 284 : member(299 ^ [], 298 ^ []), 284 : -(member(137 ^ [299 ^ [], product(298 ^ [])], 299 ^ []))],extension(280 ^ 4,bind([[_49595, _49597, _49736], [298 ^ [], 137 ^ [299 ^ [], product(298 ^ [])], 299 ^ []]]))).
% 0.35/1.37 ncf('1.1.1.1',plain,[-(member(299 ^ [], 298 ^ []))],extension(301 ^ 7)).
% 0.35/1.37 ncf('1.1.1.2',plain,[member(137 ^ [299 ^ [], product(298 ^ [])], 299 ^ [])],extension(141 ^ 7)).
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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