TSTP Solution File: SET602+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:56:05 EDT 2023
% Result : Theorem 0.43s 1.37s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 18:46:51 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.43/1.37
% 0.43/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.43/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.37 %-----------------------------------------------------
% 0.43/1.37 ncf(matrix, plain, [(300 ^ _39950) ^ [] : [equal_set(difference(298 ^ [], 298 ^ []), empty_set)], (2 ^ _39950) ^ [_40094] : [-(_40094 = _40094)], (4 ^ _39950) ^ [_40201, _40203] : [_40203 = _40201, -(_40201 = _40203)], (10 ^ _39950) ^ [_40405, _40407, _40409] : [-(_40409 = _40405), _40409 = _40407, _40407 = _40405], (20 ^ _39950) ^ [_40746, _40748, _40750, _40752] : [-(subset(_40750, _40746)), subset(_40752, _40748), _40752 = _40750, _40748 = _40746], (34 ^ _39950) ^ [_41190, _41192, _41194, _41196] : [-(member(_41194, _41190)), member(_41196, _41192), _41196 = _41194, _41192 = _41190], (48 ^ _39950) ^ [_41614, _41616, _41618, _41620] : [-(equal_set(_41618, _41614)), equal_set(_41620, _41616), _41620 = _41618, _41616 = _41614], (62 ^ _39950) ^ [_42040, _42042] : [_42042 = _42040, -(power_set(_42042) = power_set(_42040))], (68 ^ _39950) ^ [_42286, _42288, _42290, _42292] : [-(intersection(_42292, _42288) = intersection(_42290, _42286)), _42292 = _42290, _42288 = _42286], (78 ^ _39950) ^ [_42645, _42647, _42649, _42651] : [-(union(_42651, _42647) = union(_42649, _42645)), _42651 = _42649, _42647 = _42645], (88 ^ _39950) ^ [_42976, _42978] : [_42978 = _42976, -(singleton(_42978) = singleton(_42976))], (94 ^ _39950) ^ [_43222, _43224, _43226, _43228] : [-(unordered_pair(_43228, _43224) = unordered_pair(_43226, _43222)), _43228 = _43226, _43224 = _43222], (104 ^ _39950) ^ [_43553, _43555] : [_43555 = _43553, -(sum(_43555) = sum(_43553))], (110 ^ _39950) ^ [_43771, _43773] : [_43773 = _43771, -(product(_43773) = product(_43771))], (116 ^ _39950) ^ [_43997, _43999, _44001, _44003] : [-(difference(_44003, _43999) = difference(_44001, _43997)), _44003 = _44001, _43999 = _43997], (136 ^ _39950) ^ [_44697, _44699] : [138 ^ _39950 : [(139 ^ _39950) ^ [] : [-(member(137 ^ [_44697, _44699], _44699))], (141 ^ _39950) ^ [] : [member(137 ^ [_44697, _44699], _44697)]], -(subset(_44699, _44697))], (126 ^ _39950) ^ [_44383, _44385] : [subset(_44385, _44383), 129 ^ _39950 : [(130 ^ _39950) ^ [_44520] : [member(_44520, _44385), -(member(_44520, _44383))]]], (145 ^ _39950) ^ [_45083, _45085] : [equal_set(_45085, _45083), 148 ^ _39950 : [(149 ^ _39950) ^ [] : [-(subset(_45085, _45083))], (151 ^ _39950) ^ [] : [-(subset(_45083, _45085))]]], (153 ^ _39950) ^ [_45320, _45322] : [-(equal_set(_45322, _45320)), subset(_45322, _45320), subset(_45320, _45322)], (163 ^ _39950) ^ [_45650, _45652] : [member(_45652, power_set(_45650)), -(subset(_45652, _45650))], (169 ^ _39950) ^ [_45816, _45818] : [subset(_45818, _45816), -(member(_45818, power_set(_45816)))], (175 ^ _39950) ^ [_46075, _46077, _46079] : [member(_46079, intersection(_46077, _46075)), 178 ^ _39950 : [(179 ^ _39950) ^ [] : [-(member(_46079, _46077))], (181 ^ _39950) ^ [] : [-(member(_46079, _46075))]]], (183 ^ _39950) ^ [_46326, _46328, _46330] : [-(member(_46330, intersection(_46328, _46326))), member(_46330, _46328), member(_46330, _46326)], (203 ^ _39950) ^ [_46954, _46956, _46958] : [204 ^ _39950 : [(205 ^ _39950) ^ [] : [member(_46958, _46956)], (207 ^ _39950) ^ [] : [member(_46958, _46954)]], -(member(_46958, union(_46956, _46954)))], (193 ^ _39950) ^ [_46686, _46688, _46690] : [member(_46690, union(_46688, _46686)), -(member(_46690, _46688)), -(member(_46690, _46686))], (211 ^ _39950) ^ [_47224] : [member(_47224, empty_set)], (213 ^ _39950) ^ [_47374, _47376, _47378] : [member(_47378, difference(_47374, _47376)), 216 ^ _39950 : [(217 ^ _39950) ^ [] : [-(member(_47378, _47374))], (219 ^ _39950) ^ [] : [member(_47378, _47376)]]], (221 ^ _39950) ^ [_47626, _47628, _47630] : [-(member(_47630, difference(_47626, _47628))), member(_47630, _47626), -(member(_47630, _47628))], (231 ^ _39950) ^ [_47975, _47977] : [member(_47977, singleton(_47975)), -(_47977 = _47975)], (237 ^ _39950) ^ [_48141, _48143] : [_48143 = _48141, -(member(_48143, singleton(_48141)))], (253 ^ _39950) ^ [_48668, _48670, _48672] : [254 ^ _39950 : [(255 ^ _39950) ^ [] : [_48672 = _48670], (257 ^ _39950) ^ [] : [_48672 = _48668]], -(member(_48672, unordered_pair(_48670, _48668)))], (243 ^ _39950) ^ [_48400, _48402, _48404] : [member(_48404, unordered_pair(_48402, _48400)), -(_48404 = _48402), -(_48404 = _48400)], (261 ^ _39950) ^ [_48997, _48999] : [member(_48999, sum(_48997)), 265 ^ _39950 : [(266 ^ _39950) ^ [] : [-(member(264 ^ [_48997, _48999], _48997))], (268 ^ _39950) ^ [] : [-(member(_48999, 264 ^ [_48997, _48999]))]]], (270 ^ _39950) ^ [_49308, _49310] : [-(member(_49310, sum(_49308))), 271 ^ _39950 : [(272 ^ _39950) ^ [_49402] : [member(_49402, _49308), member(_49310, _49402)]]], (290 ^ _39950) ^ [_50003, _50005] : [292 ^ _39950 : [(293 ^ _39950) ^ [] : [-(member(291 ^ [_50003, _50005], _50003))], (295 ^ _39950) ^ [] : [member(_50005, 291 ^ [_50003, _50005])]], -(member(_50005, product(_50003)))], (280 ^ _39950) ^ [_49685, _49687] : [member(_49687, product(_49685)), 283 ^ _39950 : [(284 ^ _39950) ^ [_49826] : [member(_49826, _49685), -(member(_49687, _49826))]]]], input).
% 0.43/1.37 ncf('1',plain,[equal_set(difference(298 ^ [], 298 ^ []), empty_set)],start(300 ^ 0)).
% 0.43/1.37 ncf('1.1',plain,[-(equal_set(difference(298 ^ [], 298 ^ []), empty_set)), subset(difference(298 ^ [], 298 ^ []), empty_set), subset(empty_set, difference(298 ^ [], 298 ^ []))],extension(153 ^ 1,bind([[_45320, _45322], [empty_set, difference(298 ^ [], 298 ^ [])]]))).
% 0.43/1.37 ncf('1.1.1',plain,[-(subset(difference(298 ^ [], 298 ^ []), empty_set)), 139 : -(member(137 ^ [empty_set, difference(298 ^ [], 298 ^ [])], difference(298 ^ [], 298 ^ [])))],extension(136 ^ 2,bind([[_44697, _44699], [empty_set, difference(298 ^ [], 298 ^ [])]]))).
% 0.43/1.37 ncf('1.1.1.1',plain,[member(137 ^ [empty_set, difference(298 ^ [], 298 ^ [])], difference(298 ^ [], 298 ^ [])), 217 : -(member(137 ^ [empty_set, difference(298 ^ [], 298 ^ [])], 298 ^ []))],extension(213 ^ 5,bind([[_47374, _47376, _47378], [298 ^ [], 298 ^ [], 137 ^ [empty_set, difference(298 ^ [], 298 ^ [])]]]))).
% 0.43/1.37 ncf('1.1.1.1.1',plain,[member(137 ^ [empty_set, difference(298 ^ [], 298 ^ [])], 298 ^ [])],extension(219 ^ 8)).
% 0.43/1.37 ncf('1.1.2',plain,[-(subset(empty_set, difference(298 ^ [], 298 ^ []))), 139 : -(member(137 ^ [difference(298 ^ [], 298 ^ []), empty_set], empty_set))],extension(136 ^ 2,bind([[_44697, _44699], [difference(298 ^ [], 298 ^ []), empty_set]]))).
% 0.43/1.37 ncf('1.1.2.1',plain,[member(137 ^ [difference(298 ^ [], 298 ^ []), empty_set], empty_set)],extension(211 ^ 5,bind([[_47224], [137 ^ [difference(298 ^ [], 298 ^ []), empty_set]]]))).
% 0.43/1.37 %-----------------------------------------------------
% 0.43/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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