TSTP Solution File: SEU168+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU168+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 12:02:29 EDT 2023
% Result : Theorem 44.49s 43.74s
% Output : Proof 44.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU168+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 13:47:35 EDT 2023
% 0.13/0.33 % CPUTime :
% 44.49/43.74
% 44.49/43.74 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 44.49/43.74 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.49/43.74 %-----------------------------------------------------
% 44.49/43.74 ncf(matrix, plain, [(169 ^ _39815) ^ [_39860] : [in(167 ^ [], _39860), 176 ^ _39815 : [(181 ^ _39815) ^ [] : [in(175 ^ [_39860], _39860)], (179 ^ _39815) ^ [] : [-(subset(175 ^ [_39860], 174 ^ [_39860]))], (177 ^ _39815) ^ [] : [-(in(174 ^ [_39860], _39860))]], 185 ^ _39815 : [(188 ^ _39815) ^ [] : [in(powerset(184 ^ [_39860]), _39860)], (186 ^ _39815) ^ [] : [-(in(184 ^ [_39860], _39860))]], 190 ^ _39815 : [(195 ^ _39815) ^ [] : [in(189 ^ [_39860], _39860)], (193 ^ _39815) ^ [] : [are_equipotent(189 ^ [_39860], _39860)], (191 ^ _39815) ^ [] : [-(subset(189 ^ [_39860], _39860))]]], !, (48 ^ _33872) ^ [_35516, _35518, _35520, _35522] : [-(in(_35520, _35516)), in(_35522, _35518), _35522 = _35520, _35518 = _35516], (62 ^ _33872) ^ [_35922, _35924] : [_35924 = _35922, -(powerset(_35924) = powerset(_35922))], (135 ^ _33872) ^ [_38574, _38576, _38578] : [-(in(_38574, 131 ^ [_38578])), in(_38576, 131 ^ [_38578]), subset(_38574, _38576)], (158 ^ _33872) ^ [_39408, _39410] : [subset(_39408, 131 ^ [_39410]), -(are_equipotent(_39408, 131 ^ [_39410])), -(in(_39408, 131 ^ [_39410]))], (130 ^ _33872) ^ [_38243, _38245] : [-(subset(_38245, _38245))], (4 ^ _33872) ^ [_34103, _34105] : [_34105 = _34103, -(_34103 = _34105)], (10 ^ _33872) ^ [_34307, _34309, _34311] : [-(_34311 = _34307), _34311 = _34309, _34309 = _34307], (2 ^ _33872) ^ [_33996] : [-(_33996 = _33996)], (133 ^ _33872) ^ [_38462] : [-(in(_38462, 131 ^ [_38462]))], (115 ^ _33872) ^ [_37782, _37784] : [117 ^ _33872 : [(120 ^ _33872) ^ [] : [in(116 ^ [_37782, _37784], _37782)], (118 ^ _33872) ^ [] : [-(in(116 ^ [_37782, _37784], _37784))]], -(subset(_37784, _37782))], (105 ^ _33872) ^ [_37468, _37470] : [subset(_37470, _37468), 108 ^ _33872 : [(109 ^ _33872) ^ [_37605] : [in(_37605, _37470), -(in(_37605, _37468))]]], (68 ^ _33872) ^ [_36142, _36144] : [in(_36144, _36142), in(_36142, _36144)], (20 ^ _33872) ^ [_34648, _34650, _34652, _34654] : [-(subset(_34652, _34648)), subset(_34654, _34650), _34654 = _34652, _34650 = _34648], (124 ^ _33872) ^ [] : [true___, -(true___)], (90 ^ _33872) ^ [_36903, _36905] : [-(_36903 = powerset(_36905)), 94 ^ _33872 : [(97 ^ _33872) ^ [] : [subset(91 ^ [_36903, _36905], _36905)], (95 ^ _33872) ^ [] : [-(in(91 ^ [_36903, _36905], _36903))]], 98 ^ _33872 : [(101 ^ _33872) ^ [] : [in(91 ^ [_36903, _36905], _36903)], (99 ^ _33872) ^ [] : [-(subset(91 ^ [_36903, _36905], _36905))]]], (145 ^ _33872) ^ [_38889, _38891] : [in(_38889, 131 ^ [_38891]), 149 ^ _33872 : [(152 ^ _33872) ^ [_39201] : [subset(_39201, _38889), -(in(_39201, 148 ^ [_38889, _38891]))], (150 ^ _33872) ^ [] : [-(in(148 ^ [_38889, _38891], 131 ^ [_38891]))]]], (74 ^ _33872) ^ [_36382, _36384] : [_36382 = powerset(_36384), 77 ^ _33872 : [(84 ^ _33872) ^ [_36724] : [subset(_36724, _36384), -(in(_36724, _36382))], (78 ^ _33872) ^ [_36552] : [in(_36552, _36382), -(subset(_36552, _36384))]]], (34 ^ _33872) ^ [_35092, _35094, _35096, _35098] : [-(are_equipotent(_35096, _35092)), are_equipotent(_35098, _35094), _35098 = _35096, _35094 = _35092]], input).
% 44.49/43.74 ncf('1',plain,[in(167 ^ [], 131 ^ [167 ^ []]), 181 : in(175 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []]), 186 : -(in(184 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []])), 195 : in(189 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []])],start(169 ^ 0,bind([[_39860], [131 ^ [167 ^ []]]]))).
% 44.49/43.74 ncf('1.1',plain,[-(in(167 ^ [], 131 ^ [167 ^ []]))],extension(133 ^ 1,bind([[_38462], [167 ^ []]]))).
% 44.49/43.74 ncf('1.2',plain,[-(in(175 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []])), in(174 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []]), subset(175 ^ [131 ^ [167 ^ []]], 174 ^ [131 ^ [167 ^ []]])],extension(135 ^ 3,bind([[_38574, _38576, _38578], [175 ^ [131 ^ [167 ^ []]], 174 ^ [131 ^ [167 ^ []]], 167 ^ []]]))).
% 44.49/43.74 ncf('1.2.1',plain,[-(in(174 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []]))],extension(177 ^ 4)).
% 44.49/43.74 ncf('1.2.2',plain,[-(subset(175 ^ [131 ^ [167 ^ []]], 174 ^ [131 ^ [167 ^ []]]))],extension(179 ^ 4)).
% 44.49/43.74 ncf('1.3',plain,[in(184 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []]), 150 : -(in(148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], 131 ^ [167 ^ []]))],extension(145 ^ 3,bind([[_38889, _38891], [184 ^ [131 ^ [167 ^ []]], 167 ^ []]]))).
% 44.49/43.74 ncf('1.3.1',plain,[in(148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], 131 ^ [167 ^ []]), -(in(powerset(184 ^ [131 ^ [167 ^ []]]), 131 ^ [167 ^ []])), subset(powerset(184 ^ [131 ^ [167 ^ []]]), 148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []])],extension(135 ^ 6,bind([[_38574, _38576, _38578], [powerset(184 ^ [131 ^ [167 ^ []]]), 148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], 167 ^ []]]))).
% 44.49/43.74 ncf('1.3.1.1',plain,[in(powerset(184 ^ [131 ^ [167 ^ []]]), 131 ^ [167 ^ []])],extension(188 ^ 7)).
% 44.49/43.74 ncf('1.3.1.2',plain,[-(subset(powerset(184 ^ [131 ^ [167 ^ []]]), 148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []])), 118 : -(in(116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])], powerset(184 ^ [131 ^ [167 ^ []]])))],extension(115 ^ 7,bind([[_37782, _37784], [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])]]))).
% 44.49/43.74 ncf('1.3.1.2.1',plain,[in(116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])], powerset(184 ^ [131 ^ [167 ^ []]])), 78 : -(subset(116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])], 184 ^ [131 ^ [167 ^ []]])), 78 : powerset(184 ^ [131 ^ [167 ^ []]]) = powerset(184 ^ [131 ^ [167 ^ []]])],extension(74 ^ 10,bind([[_36382, _36384, _36552], [powerset(184 ^ [131 ^ [167 ^ []]]), 184 ^ [131 ^ [167 ^ []]], 116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])]]]))).
% 44.49/43.74 ncf('1.3.1.2.1.1',plain,[subset(116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])], 184 ^ [131 ^ [167 ^ []]]), -(in(116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])], 148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []]))],extension(152 ^ 13,bind([[_39201], [116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])]]]))).
% 44.49/43.74 ncf('1.3.1.2.1.1.1',plain,[in(116 ^ [148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []], powerset(184 ^ [131 ^ [167 ^ []]])], 148 ^ [184 ^ [131 ^ [167 ^ []]], 167 ^ []])],extension(120 ^ 14)).
% 44.49/43.74 ncf('1.3.1.2.1.2',plain,[-(powerset(184 ^ [131 ^ [167 ^ []]]) = powerset(184 ^ [131 ^ [167 ^ []]])), 184 ^ [131 ^ [167 ^ []]] = 184 ^ [131 ^ [167 ^ []]]],extension(62 ^ 11,bind([[_35922, _35924], [184 ^ [131 ^ [167 ^ []]], 184 ^ [131 ^ [167 ^ []]]]]))).
% 44.49/43.74 ncf('1.3.1.2.1.2.1',plain,[-(184 ^ [131 ^ [167 ^ []]] = 184 ^ [131 ^ [167 ^ []]])],extension(2 ^ 12,bind([[_33996], [184 ^ [131 ^ [167 ^ []]]]]))).
% 44.49/43.74 ncf('1.4',plain,[-(in(189 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []])), subset(189 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []]), -(are_equipotent(189 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []]))],extension(158 ^ 3,bind([[_39408, _39410], [189 ^ [131 ^ [167 ^ []]], 167 ^ []]]))).
% 44.49/43.74 ncf('1.4.1',plain,[-(subset(189 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []]))],extension(191 ^ 4)).
% 44.49/43.74 ncf('1.4.2',plain,[are_equipotent(189 ^ [131 ^ [167 ^ []]], 131 ^ [167 ^ []])],extension(193 ^ 4)).
% 44.49/43.74 %-----------------------------------------------------
% 44.49/43.74 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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