TSTP Solution File: SET696+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET696+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 1.02s 1.38s
% Output : Proof 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET696+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n002.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 19:04:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 1.02/1.38
% 1.02/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.02/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.38 %-----------------------------------------------------
% 1.02/1.38 ncf(matrix, plain, [(301 ^ _40910) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (303 ^ _40910) ^ [] : [equal_set(intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set)], (2 ^ _40910) ^ [_41054] : [-(_41054 = _41054)], (4 ^ _40910) ^ [_41161, _41163] : [_41163 = _41161, -(_41161 = _41163)], (10 ^ _40910) ^ [_41365, _41367, _41369] : [-(_41369 = _41365), _41369 = _41367, _41367 = _41365], (20 ^ _40910) ^ [_41706, _41708, _41710, _41712] : [-(member(_41710, _41706)), member(_41712, _41708), _41712 = _41710, _41708 = _41706], (34 ^ _40910) ^ [_42150, _42152, _42154, _42156] : [-(subset(_42154, _42150)), subset(_42156, _42152), _42156 = _42154, _42152 = _42150], (48 ^ _40910) ^ [_42574, _42576, _42578, _42580] : [-(equal_set(_42578, _42574)), equal_set(_42580, _42576), _42580 = _42578, _42576 = _42574], (62 ^ _40910) ^ [_43000, _43002] : [_43002 = _43000, -(power_set(_43002) = power_set(_43000))], (68 ^ _40910) ^ [_43246, _43248, _43250, _43252] : [-(union(_43252, _43248) = union(_43250, _43246)), _43252 = _43250, _43248 = _43246], (78 ^ _40910) ^ [_43577, _43579] : [_43579 = _43577, -(singleton(_43579) = singleton(_43577))], (84 ^ _40910) ^ [_43823, _43825, _43827, _43829] : [-(unordered_pair(_43829, _43825) = unordered_pair(_43827, _43823)), _43829 = _43827, _43825 = _43823], (94 ^ _40910) ^ [_44154, _44156] : [_44156 = _44154, -(sum(_44156) = sum(_44154))], (100 ^ _40910) ^ [_44372, _44374] : [_44374 = _44372, -(product(_44374) = product(_44372))], (106 ^ _40910) ^ [_44618, _44620, _44622, _44624] : [-(intersection(_44624, _44620) = intersection(_44622, _44618)), _44624 = _44622, _44620 = _44618], (116 ^ _40910) ^ [_44957, _44959, _44961, _44963] : [-(difference(_44963, _44959) = difference(_44961, _44957)), _44963 = _44961, _44959 = _44957], (136 ^ _40910) ^ [_45657, _45659] : [138 ^ _40910 : [(139 ^ _40910) ^ [] : [-(member(137 ^ [_45657, _45659], _45659))], (141 ^ _40910) ^ [] : [member(137 ^ [_45657, _45659], _45657)]], -(subset(_45659, _45657))], (126 ^ _40910) ^ [_45343, _45345] : [subset(_45345, _45343), 129 ^ _40910 : [(130 ^ _40910) ^ [_45480] : [member(_45480, _45345), -(member(_45480, _45343))]]], (145 ^ _40910) ^ [_46043, _46045] : [equal_set(_46045, _46043), 148 ^ _40910 : [(149 ^ _40910) ^ [] : [-(subset(_46045, _46043))], (151 ^ _40910) ^ [] : [-(subset(_46043, _46045))]]], (153 ^ _40910) ^ [_46280, _46282] : [-(equal_set(_46282, _46280)), subset(_46282, _46280), subset(_46280, _46282)], (163 ^ _40910) ^ [_46610, _46612] : [member(_46612, power_set(_46610)), -(subset(_46612, _46610))], (169 ^ _40910) ^ [_46776, _46778] : [subset(_46778, _46776), -(member(_46778, power_set(_46776)))], (175 ^ _40910) ^ [_47035, _47037, _47039] : [member(_47039, intersection(_47037, _47035)), 178 ^ _40910 : [(179 ^ _40910) ^ [] : [-(member(_47039, _47037))], (181 ^ _40910) ^ [] : [-(member(_47039, _47035))]]], (183 ^ _40910) ^ [_47286, _47288, _47290] : [-(member(_47290, intersection(_47288, _47286))), member(_47290, _47288), member(_47290, _47286)], (203 ^ _40910) ^ [_47914, _47916, _47918] : [204 ^ _40910 : [(205 ^ _40910) ^ [] : [member(_47918, _47916)], (207 ^ _40910) ^ [] : [member(_47918, _47914)]], -(member(_47918, union(_47916, _47914)))], (193 ^ _40910) ^ [_47646, _47648, _47650] : [member(_47650, union(_47648, _47646)), -(member(_47650, _47648)), -(member(_47650, _47646))], (211 ^ _40910) ^ [_48184] : [member(_48184, empty_set)], (213 ^ _40910) ^ [_48334, _48336, _48338] : [member(_48338, difference(_48334, _48336)), 216 ^ _40910 : [(217 ^ _40910) ^ [] : [-(member(_48338, _48334))], (219 ^ _40910) ^ [] : [member(_48338, _48336)]]], (221 ^ _40910) ^ [_48586, _48588, _48590] : [-(member(_48590, difference(_48586, _48588))), member(_48590, _48586), -(member(_48590, _48588))], (231 ^ _40910) ^ [_48935, _48937] : [member(_48937, singleton(_48935)), -(_48937 = _48935)], (237 ^ _40910) ^ [_49101, _49103] : [_49103 = _49101, -(member(_49103, singleton(_49101)))], (253 ^ _40910) ^ [_49628, _49630, _49632] : [254 ^ _40910 : [(255 ^ _40910) ^ [] : [_49632 = _49630], (257 ^ _40910) ^ [] : [_49632 = _49628]], -(member(_49632, unordered_pair(_49630, _49628)))], (243 ^ _40910) ^ [_49360, _49362, _49364] : [member(_49364, unordered_pair(_49362, _49360)), -(_49364 = _49362), -(_49364 = _49360)], (261 ^ _40910) ^ [_49957, _49959] : [member(_49959, sum(_49957)), 265 ^ _40910 : [(266 ^ _40910) ^ [] : [-(member(264 ^ [_49957, _49959], _49957))], (268 ^ _40910) ^ [] : [-(member(_49959, 264 ^ [_49957, _49959]))]]], (270 ^ _40910) ^ [_50268, _50270] : [-(member(_50270, sum(_50268))), 271 ^ _40910 : [(272 ^ _40910) ^ [_50362] : [member(_50362, _50268), member(_50270, _50362)]]], (290 ^ _40910) ^ [_50963, _50965] : [292 ^ _40910 : [(293 ^ _40910) ^ [] : [-(member(291 ^ [_50963, _50965], _50963))], (295 ^ _40910) ^ [] : [member(_50965, 291 ^ [_50963, _50965])]], -(member(_50965, product(_50963)))], (280 ^ _40910) ^ [_50645, _50647] : [member(_50647, product(_50645)), 283 ^ _40910 : [(284 ^ _40910) ^ [_50786] : [member(_50786, _50645), -(member(_50647, _50786))]]]], input).
% 1.02/1.38 ncf('1',plain,[equal_set(intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set)],start(303 ^ 0)).
% 1.02/1.38 ncf('1.1',plain,[-(equal_set(intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set)), subset(intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set), subset(empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ []))],extension(153 ^ 1,bind([[_46280, _46282], [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])]]))).
% 1.02/1.38 ncf('1.1.1',plain,[-(subset(intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set)), 139 : -(member(137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])], intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])))],extension(136 ^ 2,bind([[_45657, _45659], [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])]]))).
% 1.02/1.38 ncf('1.1.1.1',plain,[member(137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])], intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])), 179 : -(member(137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])], difference(299 ^ [], 298 ^ [])))],extension(175 ^ 5,bind([[_47035, _47037, _47039], [298 ^ [], difference(299 ^ [], 298 ^ []), 137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])]]]))).
% 1.02/1.38 ncf('1.1.1.1.1',plain,[member(137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])], difference(299 ^ [], 298 ^ [])), 219 : member(137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])], 298 ^ [])],extension(213 ^ 8,bind([[_48334, _48336, _48338], [299 ^ [], 298 ^ [], 137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])]]]))).
% 1.02/1.38 ncf('1.1.1.1.1.1',plain,[-(member(137 ^ [empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ [])], 298 ^ []))],extension(181 ^ 11)).
% 1.02/1.38 ncf('1.1.2',plain,[-(subset(empty_set, intersection(difference(299 ^ [], 298 ^ []), 298 ^ []))), 139 : -(member(137 ^ [intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set], empty_set))],extension(136 ^ 2,bind([[_45657, _45659], [intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set]]))).
% 1.02/1.38 ncf('1.1.2.1',plain,[member(137 ^ [intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set], empty_set)],extension(211 ^ 5,bind([[_48184], [137 ^ [intersection(difference(299 ^ [], 298 ^ []), 298 ^ []), empty_set]]]))).
% 1.02/1.38 %-----------------------------------------------------
% 1.02/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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