TSTP Solution File: SET162+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET162+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:55:31 EDT 2023
% Result : Theorem 0.47s 1.36s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET162+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.11 % Command : nanocop.sh %s %d
% 0.12/0.31 % Computer : n031.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu May 18 19:44:55 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.47/1.36
% 0.47/1.36 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.47/1.36 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.36 %-----------------------------------------------------
% 0.47/1.36 ncf(matrix, plain, [(300 ^ _40370) ^ [] : [equal_set(union(298 ^ [], empty_set), 298 ^ [])], (2 ^ _40370) ^ [_40514] : [-(_40514 = _40514)], (4 ^ _40370) ^ [_40621, _40623] : [_40623 = _40621, -(_40621 = _40623)], (10 ^ _40370) ^ [_40825, _40827, _40829] : [-(_40829 = _40825), _40829 = _40827, _40827 = _40825], (20 ^ _40370) ^ [_41166, _41168, _41170, _41172] : [-(subset(_41170, _41166)), subset(_41172, _41168), _41172 = _41170, _41168 = _41166], (34 ^ _40370) ^ [_41610, _41612, _41614, _41616] : [-(member(_41614, _41610)), member(_41616, _41612), _41616 = _41614, _41612 = _41610], (48 ^ _40370) ^ [_42034, _42036, _42038, _42040] : [-(equal_set(_42038, _42034)), equal_set(_42040, _42036), _42040 = _42038, _42036 = _42034], (62 ^ _40370) ^ [_42460, _42462] : [_42462 = _42460, -(power_set(_42462) = power_set(_42460))], (68 ^ _40370) ^ [_42706, _42708, _42710, _42712] : [-(intersection(_42712, _42708) = intersection(_42710, _42706)), _42712 = _42710, _42708 = _42706], (78 ^ _40370) ^ [_43065, _43067, _43069, _43071] : [-(difference(_43071, _43067) = difference(_43069, _43065)), _43071 = _43069, _43067 = _43065], (88 ^ _40370) ^ [_43396, _43398] : [_43398 = _43396, -(singleton(_43398) = singleton(_43396))], (94 ^ _40370) ^ [_43642, _43644, _43646, _43648] : [-(unordered_pair(_43648, _43644) = unordered_pair(_43646, _43642)), _43648 = _43646, _43644 = _43642], (104 ^ _40370) ^ [_43973, _43975] : [_43975 = _43973, -(sum(_43975) = sum(_43973))], (110 ^ _40370) ^ [_44191, _44193] : [_44193 = _44191, -(product(_44193) = product(_44191))], (116 ^ _40370) ^ [_44417, _44419, _44421, _44423] : [-(union(_44423, _44419) = union(_44421, _44417)), _44423 = _44421, _44419 = _44417], (136 ^ _40370) ^ [_45117, _45119] : [138 ^ _40370 : [(139 ^ _40370) ^ [] : [-(member(137 ^ [_45117, _45119], _45119))], (141 ^ _40370) ^ [] : [member(137 ^ [_45117, _45119], _45117)]], -(subset(_45119, _45117))], (126 ^ _40370) ^ [_44803, _44805] : [subset(_44805, _44803), 129 ^ _40370 : [(130 ^ _40370) ^ [_44940] : [member(_44940, _44805), -(member(_44940, _44803))]]], (145 ^ _40370) ^ [_45503, _45505] : [equal_set(_45505, _45503), 148 ^ _40370 : [(149 ^ _40370) ^ [] : [-(subset(_45505, _45503))], (151 ^ _40370) ^ [] : [-(subset(_45503, _45505))]]], (153 ^ _40370) ^ [_45740, _45742] : [-(equal_set(_45742, _45740)), subset(_45742, _45740), subset(_45740, _45742)], (163 ^ _40370) ^ [_46070, _46072] : [member(_46072, power_set(_46070)), -(subset(_46072, _46070))], (169 ^ _40370) ^ [_46236, _46238] : [subset(_46238, _46236), -(member(_46238, power_set(_46236)))], (175 ^ _40370) ^ [_46495, _46497, _46499] : [member(_46499, intersection(_46497, _46495)), 178 ^ _40370 : [(179 ^ _40370) ^ [] : [-(member(_46499, _46497))], (181 ^ _40370) ^ [] : [-(member(_46499, _46495))]]], (183 ^ _40370) ^ [_46746, _46748, _46750] : [-(member(_46750, intersection(_46748, _46746))), member(_46750, _46748), member(_46750, _46746)], (203 ^ _40370) ^ [_47374, _47376, _47378] : [204 ^ _40370 : [(205 ^ _40370) ^ [] : [member(_47378, _47376)], (207 ^ _40370) ^ [] : [member(_47378, _47374)]], -(member(_47378, union(_47376, _47374)))], (193 ^ _40370) ^ [_47106, _47108, _47110] : [member(_47110, union(_47108, _47106)), -(member(_47110, _47108)), -(member(_47110, _47106))], (211 ^ _40370) ^ [_47644] : [member(_47644, empty_set)], (213 ^ _40370) ^ [_47794, _47796, _47798] : [member(_47798, difference(_47794, _47796)), 216 ^ _40370 : [(217 ^ _40370) ^ [] : [-(member(_47798, _47794))], (219 ^ _40370) ^ [] : [member(_47798, _47796)]]], (221 ^ _40370) ^ [_48046, _48048, _48050] : [-(member(_48050, difference(_48046, _48048))), member(_48050, _48046), -(member(_48050, _48048))], (231 ^ _40370) ^ [_48395, _48397] : [member(_48397, singleton(_48395)), -(_48397 = _48395)], (237 ^ _40370) ^ [_48561, _48563] : [_48563 = _48561, -(member(_48563, singleton(_48561)))], (253 ^ _40370) ^ [_49088, _49090, _49092] : [254 ^ _40370 : [(255 ^ _40370) ^ [] : [_49092 = _49090], (257 ^ _40370) ^ [] : [_49092 = _49088]], -(member(_49092, unordered_pair(_49090, _49088)))], (243 ^ _40370) ^ [_48820, _48822, _48824] : [member(_48824, unordered_pair(_48822, _48820)), -(_48824 = _48822), -(_48824 = _48820)], (261 ^ _40370) ^ [_49417, _49419] : [member(_49419, sum(_49417)), 265 ^ _40370 : [(266 ^ _40370) ^ [] : [-(member(264 ^ [_49417, _49419], _49417))], (268 ^ _40370) ^ [] : [-(member(_49419, 264 ^ [_49417, _49419]))]]], (270 ^ _40370) ^ [_49728, _49730] : [-(member(_49730, sum(_49728))), 271 ^ _40370 : [(272 ^ _40370) ^ [_49822] : [member(_49822, _49728), member(_49730, _49822)]]], (290 ^ _40370) ^ [_50423, _50425] : [292 ^ _40370 : [(293 ^ _40370) ^ [] : [-(member(291 ^ [_50423, _50425], _50423))], (295 ^ _40370) ^ [] : [member(_50425, 291 ^ [_50423, _50425])]], -(member(_50425, product(_50423)))], (280 ^ _40370) ^ [_50105, _50107] : [member(_50107, product(_50105)), 283 ^ _40370 : [(284 ^ _40370) ^ [_50246] : [member(_50246, _50105), -(member(_50107, _50246))]]]], input).
% 0.47/1.36 ncf('1',plain,[equal_set(union(298 ^ [], empty_set), 298 ^ [])],start(300 ^ 0)).
% 0.47/1.36 ncf('1.1',plain,[-(equal_set(union(298 ^ [], empty_set), 298 ^ [])), subset(union(298 ^ [], empty_set), 298 ^ []), subset(298 ^ [], union(298 ^ [], empty_set))],extension(153 ^ 1,bind([[_45740, _45742], [298 ^ [], union(298 ^ [], empty_set)]]))).
% 0.47/1.36 ncf('1.1.1',plain,[-(subset(union(298 ^ [], empty_set), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], union(298 ^ [], empty_set)], union(298 ^ [], empty_set)))],extension(136 ^ 2,bind([[_45117, _45119], [298 ^ [], union(298 ^ [], empty_set)]]))).
% 0.47/1.36 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], union(298 ^ [], empty_set)], union(298 ^ [], empty_set)), -(member(137 ^ [298 ^ [], union(298 ^ [], empty_set)], 298 ^ [])), -(member(137 ^ [298 ^ [], union(298 ^ [], empty_set)], empty_set))],extension(193 ^ 5,bind([[_47106, _47108, _47110], [empty_set, 298 ^ [], 137 ^ [298 ^ [], union(298 ^ [], empty_set)]]]))).
% 0.47/1.36 ncf('1.1.1.1.1',plain,[member(137 ^ [298 ^ [], union(298 ^ [], empty_set)], 298 ^ [])],extension(141 ^ 6)).
% 0.47/1.36 ncf('1.1.1.1.2',plain,[member(137 ^ [298 ^ [], union(298 ^ [], empty_set)], empty_set)],extension(211 ^ 6,bind([[_47644], [137 ^ [298 ^ [], union(298 ^ [], empty_set)]]]))).
% 0.47/1.36 ncf('1.1.2',plain,[-(subset(298 ^ [], union(298 ^ [], empty_set))), 139 : -(member(137 ^ [union(298 ^ [], empty_set), 298 ^ []], 298 ^ []))],extension(136 ^ 2,bind([[_45117, _45119], [union(298 ^ [], empty_set), 298 ^ []]]))).
% 0.47/1.36 ncf('1.1.2.1',plain,[member(137 ^ [union(298 ^ [], empty_set), 298 ^ []], 298 ^ []), -(member(137 ^ [union(298 ^ [], empty_set), 298 ^ []], union(298 ^ [], empty_set)))],extension(203 ^ 5,bind([[_47374, _47376, _47378], [empty_set, 298 ^ [], 137 ^ [union(298 ^ [], empty_set), 298 ^ []]]]))).
% 0.47/1.36 ncf('1.1.2.1.1',plain,[member(137 ^ [union(298 ^ [], empty_set), 298 ^ []], union(298 ^ [], empty_set))],extension(141 ^ 6)).
% 0.47/1.36 %-----------------------------------------------------
% 0.47/1.36 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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