TSTP Solution File: SET603+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET603+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 0.48s 1.37s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET603+4 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.11 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 18 19:08:06 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.48/1.37
% 0.48/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.48/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 ncf(matrix, plain, [(300 ^ _40411) ^ [] : [equal_set(difference(298 ^ [], empty_set), 298 ^ [])], (2 ^ _40411) ^ [_40555] : [-(_40555 = _40555)], (4 ^ _40411) ^ [_40662, _40664] : [_40664 = _40662, -(_40662 = _40664)], (10 ^ _40411) ^ [_40866, _40868, _40870] : [-(_40870 = _40866), _40870 = _40868, _40868 = _40866], (20 ^ _40411) ^ [_41207, _41209, _41211, _41213] : [-(subset(_41211, _41207)), subset(_41213, _41209), _41213 = _41211, _41209 = _41207], (34 ^ _40411) ^ [_41651, _41653, _41655, _41657] : [-(member(_41655, _41651)), member(_41657, _41653), _41657 = _41655, _41653 = _41651], (48 ^ _40411) ^ [_42075, _42077, _42079, _42081] : [-(equal_set(_42079, _42075)), equal_set(_42081, _42077), _42081 = _42079, _42077 = _42075], (62 ^ _40411) ^ [_42501, _42503] : [_42503 = _42501, -(power_set(_42503) = power_set(_42501))], (68 ^ _40411) ^ [_42747, _42749, _42751, _42753] : [-(intersection(_42753, _42749) = intersection(_42751, _42747)), _42753 = _42751, _42749 = _42747], (78 ^ _40411) ^ [_43106, _43108, _43110, _43112] : [-(union(_43112, _43108) = union(_43110, _43106)), _43112 = _43110, _43108 = _43106], (88 ^ _40411) ^ [_43437, _43439] : [_43439 = _43437, -(singleton(_43439) = singleton(_43437))], (94 ^ _40411) ^ [_43683, _43685, _43687, _43689] : [-(unordered_pair(_43689, _43685) = unordered_pair(_43687, _43683)), _43689 = _43687, _43685 = _43683], (104 ^ _40411) ^ [_44014, _44016] : [_44016 = _44014, -(sum(_44016) = sum(_44014))], (110 ^ _40411) ^ [_44232, _44234] : [_44234 = _44232, -(product(_44234) = product(_44232))], (116 ^ _40411) ^ [_44458, _44460, _44462, _44464] : [-(difference(_44464, _44460) = difference(_44462, _44458)), _44464 = _44462, _44460 = _44458], (136 ^ _40411) ^ [_45158, _45160] : [138 ^ _40411 : [(139 ^ _40411) ^ [] : [-(member(137 ^ [_45158, _45160], _45160))], (141 ^ _40411) ^ [] : [member(137 ^ [_45158, _45160], _45158)]], -(subset(_45160, _45158))], (126 ^ _40411) ^ [_44844, _44846] : [subset(_44846, _44844), 129 ^ _40411 : [(130 ^ _40411) ^ [_44981] : [member(_44981, _44846), -(member(_44981, _44844))]]], (145 ^ _40411) ^ [_45544, _45546] : [equal_set(_45546, _45544), 148 ^ _40411 : [(149 ^ _40411) ^ [] : [-(subset(_45546, _45544))], (151 ^ _40411) ^ [] : [-(subset(_45544, _45546))]]], (153 ^ _40411) ^ [_45781, _45783] : [-(equal_set(_45783, _45781)), subset(_45783, _45781), subset(_45781, _45783)], (163 ^ _40411) ^ [_46111, _46113] : [member(_46113, power_set(_46111)), -(subset(_46113, _46111))], (169 ^ _40411) ^ [_46277, _46279] : [subset(_46279, _46277), -(member(_46279, power_set(_46277)))], (175 ^ _40411) ^ [_46536, _46538, _46540] : [member(_46540, intersection(_46538, _46536)), 178 ^ _40411 : [(179 ^ _40411) ^ [] : [-(member(_46540, _46538))], (181 ^ _40411) ^ [] : [-(member(_46540, _46536))]]], (183 ^ _40411) ^ [_46787, _46789, _46791] : [-(member(_46791, intersection(_46789, _46787))), member(_46791, _46789), member(_46791, _46787)], (203 ^ _40411) ^ [_47415, _47417, _47419] : [204 ^ _40411 : [(205 ^ _40411) ^ [] : [member(_47419, _47417)], (207 ^ _40411) ^ [] : [member(_47419, _47415)]], -(member(_47419, union(_47417, _47415)))], (193 ^ _40411) ^ [_47147, _47149, _47151] : [member(_47151, union(_47149, _47147)), -(member(_47151, _47149)), -(member(_47151, _47147))], (211 ^ _40411) ^ [_47685] : [member(_47685, empty_set)], (213 ^ _40411) ^ [_47835, _47837, _47839] : [member(_47839, difference(_47835, _47837)), 216 ^ _40411 : [(217 ^ _40411) ^ [] : [-(member(_47839, _47835))], (219 ^ _40411) ^ [] : [member(_47839, _47837)]]], (221 ^ _40411) ^ [_48087, _48089, _48091] : [-(member(_48091, difference(_48087, _48089))), member(_48091, _48087), -(member(_48091, _48089))], (231 ^ _40411) ^ [_48436, _48438] : [member(_48438, singleton(_48436)), -(_48438 = _48436)], (237 ^ _40411) ^ [_48602, _48604] : [_48604 = _48602, -(member(_48604, singleton(_48602)))], (253 ^ _40411) ^ [_49129, _49131, _49133] : [254 ^ _40411 : [(255 ^ _40411) ^ [] : [_49133 = _49131], (257 ^ _40411) ^ [] : [_49133 = _49129]], -(member(_49133, unordered_pair(_49131, _49129)))], (243 ^ _40411) ^ [_48861, _48863, _48865] : [member(_48865, unordered_pair(_48863, _48861)), -(_48865 = _48863), -(_48865 = _48861)], (261 ^ _40411) ^ [_49458, _49460] : [member(_49460, sum(_49458)), 265 ^ _40411 : [(266 ^ _40411) ^ [] : [-(member(264 ^ [_49458, _49460], _49458))], (268 ^ _40411) ^ [] : [-(member(_49460, 264 ^ [_49458, _49460]))]]], (270 ^ _40411) ^ [_49769, _49771] : [-(member(_49771, sum(_49769))), 271 ^ _40411 : [(272 ^ _40411) ^ [_49863] : [member(_49863, _49769), member(_49771, _49863)]]], (290 ^ _40411) ^ [_50464, _50466] : [292 ^ _40411 : [(293 ^ _40411) ^ [] : [-(member(291 ^ [_50464, _50466], _50464))], (295 ^ _40411) ^ [] : [member(_50466, 291 ^ [_50464, _50466])]], -(member(_50466, product(_50464)))], (280 ^ _40411) ^ [_50146, _50148] : [member(_50148, product(_50146)), 283 ^ _40411 : [(284 ^ _40411) ^ [_50287] : [member(_50287, _50146), -(member(_50148, _50287))]]]], input).
% 0.48/1.37 ncf('1',plain,[equal_set(difference(298 ^ [], empty_set), 298 ^ [])],start(300 ^ 0)).
% 0.48/1.37 ncf('1.1',plain,[-(equal_set(difference(298 ^ [], empty_set), 298 ^ [])), subset(difference(298 ^ [], empty_set), 298 ^ []), subset(298 ^ [], difference(298 ^ [], empty_set))],extension(153 ^ 1,bind([[_45781, _45783], [298 ^ [], difference(298 ^ [], empty_set)]]))).
% 0.48/1.37 ncf('1.1.1',plain,[-(subset(difference(298 ^ [], empty_set), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], difference(298 ^ [], empty_set)], difference(298 ^ [], empty_set)))],extension(136 ^ 2,bind([[_45158, _45160], [298 ^ [], difference(298 ^ [], empty_set)]]))).
% 0.48/1.37 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], difference(298 ^ [], empty_set)], difference(298 ^ [], empty_set)), 217 : -(member(137 ^ [298 ^ [], difference(298 ^ [], empty_set)], 298 ^ []))],extension(213 ^ 5,bind([[_47835, _47837, _47839], [298 ^ [], empty_set, 137 ^ [298 ^ [], difference(298 ^ [], empty_set)]]]))).
% 0.48/1.37 ncf('1.1.1.1.1',plain,[member(137 ^ [298 ^ [], difference(298 ^ [], empty_set)], 298 ^ [])],extension(141 ^ 8)).
% 0.48/1.37 ncf('1.1.2',plain,[-(subset(298 ^ [], difference(298 ^ [], empty_set))), 139 : -(member(137 ^ [difference(298 ^ [], empty_set), 298 ^ []], 298 ^ []))],extension(136 ^ 2,bind([[_45158, _45160], [difference(298 ^ [], empty_set), 298 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.1',plain,[member(137 ^ [difference(298 ^ [], empty_set), 298 ^ []], 298 ^ []), -(member(137 ^ [difference(298 ^ [], empty_set), 298 ^ []], difference(298 ^ [], empty_set))), -(member(137 ^ [difference(298 ^ [], empty_set), 298 ^ []], empty_set))],extension(221 ^ 5,bind([[_48087, _48089, _48091], [298 ^ [], empty_set, 137 ^ [difference(298 ^ [], empty_set), 298 ^ []]]]))).
% 0.48/1.37 ncf('1.1.2.1.1',plain,[member(137 ^ [difference(298 ^ [], empty_set), 298 ^ []], difference(298 ^ [], empty_set))],extension(141 ^ 6)).
% 0.48/1.37 ncf('1.1.2.1.2',plain,[member(137 ^ [difference(298 ^ [], empty_set), 298 ^ []], empty_set)],extension(211 ^ 6,bind([[_47685], [137 ^ [difference(298 ^ [], empty_set), 298 ^ []]]]))).
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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