TSTP Solution File: SEU168+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU168+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 12:02:30 EDT 2023
% Result : Theorem 45.05s 43.74s
% Output : Proof 45.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU168+3 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 13:14:43 EDT 2023
% 0.12/0.33 % CPUTime :
% 45.05/43.74
% 45.05/43.74 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 45.05/43.74 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.05/43.74 %-----------------------------------------------------
% 45.05/43.74 ncf(matrix, plain, [(179 ^ _41674) ^ [_41719] : [in(177 ^ [], _41719), 186 ^ _41674 : [(191 ^ _41674) ^ [] : [in(185 ^ [_41719], _41719)], (189 ^ _41674) ^ [] : [-(subset(185 ^ [_41719], 184 ^ [_41719]))], (187 ^ _41674) ^ [] : [-(in(184 ^ [_41719], _41719))]], 195 ^ _41674 : [(198 ^ _41674) ^ [] : [in(powerset(194 ^ [_41719]), _41719)], (196 ^ _41674) ^ [] : [-(in(194 ^ [_41719], _41719))]], 200 ^ _41674 : [(205 ^ _41674) ^ [] : [in(199 ^ [_41719], _41719)], (203 ^ _41674) ^ [] : [are_equipotent(199 ^ [_41719], _41719)], (201 ^ _41674) ^ [] : [-(subset(199 ^ [_41719], _41719))]]], !, (145 ^ _35370) ^ [_40429, _40431, _40433] : [-(in(_40429, 141 ^ [_40433])), in(_40431, 141 ^ [_40433]), subset(_40429, _40431)], (10 ^ _35370) ^ [_35805, _35807, _35809] : [-(_35809 = _35805), _35809 = _35807, _35807 = _35805], (58 ^ _35370) ^ [_37309, _37311, _37313, _37315] : [-(in(_37313, _37309)), in(_37315, _37311), _37315 = _37313, _37311 = _37309], (168 ^ _35370) ^ [_41263, _41265] : [subset(_41263, 141 ^ [_41265]), -(are_equipotent(_41263, 141 ^ [_41265])), -(in(_41263, 141 ^ [_41265]))], (135 ^ _35370) ^ [] : [-(empty(133 ^ []))], (143 ^ _35370) ^ [_40317] : [-(in(_40317, 141 ^ [_40317]))], (84 ^ _35370) ^ [_38177, _38179] : [_38177 = powerset(_38179), 87 ^ _35370 : [(94 ^ _35370) ^ [_38519] : [subset(_38519, _38179), -(in(_38519, _38177))], (88 ^ _35370) ^ [_38347] : [in(_38347, _38177), -(subset(_38347, _38179))]]], (44 ^ _35370) ^ [_36885, _36887, _36889, _36891] : [-(are_equipotent(_36889, _36885)), are_equipotent(_36891, _36887), _36891 = _36889, _36887 = _36885], (20 ^ _35370) ^ [_36118, _36120] : [-(empty(_36118)), _36120 = _36118, empty(_36120)], (100 ^ _35370) ^ [_38698, _38700] : [-(_38698 = powerset(_38700)), 104 ^ _35370 : [(107 ^ _35370) ^ [] : [subset(101 ^ [_38698, _38700], _38700)], (105 ^ _35370) ^ [] : [-(in(101 ^ [_38698, _38700], _38698))]], 108 ^ _35370 : [(111 ^ _35370) ^ [] : [in(101 ^ [_38698, _38700], _38698)], (109 ^ _35370) ^ [] : [-(subset(101 ^ [_38698, _38700], _38700))]]], (2 ^ _35370) ^ [_35494] : [-(_35494 = _35494)], (140 ^ _35370) ^ [_40098, _40100] : [-(subset(_40100, _40100))], (115 ^ _35370) ^ [_39263, _39265] : [subset(_39265, _39263), 118 ^ _35370 : [(119 ^ _35370) ^ [_39400] : [in(_39400, _39265), -(in(_39400, _39263))]]], (30 ^ _35370) ^ [_36441, _36443, _36445, _36447] : [-(subset(_36445, _36441)), subset(_36447, _36443), _36447 = _36445, _36443 = _36441], (155 ^ _35370) ^ [_40744, _40746] : [in(_40744, 141 ^ [_40746]), 159 ^ _35370 : [(162 ^ _35370) ^ [_41056] : [subset(_41056, _40744), -(in(_41056, 158 ^ [_40744, _40746]))], (160 ^ _35370) ^ [] : [-(in(158 ^ [_40744, _40746], 141 ^ [_40746]))]]], (72 ^ _35370) ^ [_37717, _37719] : [_37719 = _37717, -(powerset(_37719) = powerset(_37717))], (78 ^ _35370) ^ [_37937, _37939] : [in(_37939, _37937), in(_37937, _37939)], (4 ^ _35370) ^ [_35601, _35603] : [_35603 = _35601, -(_35601 = _35603)], (138 ^ _35370) ^ [] : [empty(136 ^ [])], (125 ^ _35370) ^ [_39577, _39579] : [127 ^ _35370 : [(130 ^ _35370) ^ [] : [in(126 ^ [_39577, _39579], _39577)], (128 ^ _35370) ^ [] : [-(in(126 ^ [_39577, _39579], _39579))]], -(subset(_39579, _39577))]], input).
% 45.05/43.74 ncf('1',plain,[in(177 ^ [], 141 ^ [177 ^ []]), 191 : in(185 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []]), 196 : -(in(194 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []])), 205 : in(199 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []])],start(179 ^ 0,bind([[_41719], [141 ^ [177 ^ []]]]))).
% 45.05/43.74 ncf('1.1',plain,[-(in(177 ^ [], 141 ^ [177 ^ []]))],extension(143 ^ 1,bind([[_40317], [177 ^ []]]))).
% 45.05/43.74 ncf('1.2',plain,[-(in(185 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []])), in(184 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []]), subset(185 ^ [141 ^ [177 ^ []]], 184 ^ [141 ^ [177 ^ []]])],extension(145 ^ 3,bind([[_40429, _40431, _40433], [185 ^ [141 ^ [177 ^ []]], 184 ^ [141 ^ [177 ^ []]], 177 ^ []]]))).
% 45.05/43.74 ncf('1.2.1',plain,[-(in(184 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []]))],extension(187 ^ 4)).
% 45.05/43.74 ncf('1.2.2',plain,[-(subset(185 ^ [141 ^ [177 ^ []]], 184 ^ [141 ^ [177 ^ []]]))],extension(189 ^ 4)).
% 45.05/43.74 ncf('1.3',plain,[in(194 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []]), 160 : -(in(158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], 141 ^ [177 ^ []]))],extension(155 ^ 3,bind([[_40744, _40746], [194 ^ [141 ^ [177 ^ []]], 177 ^ []]]))).
% 45.05/43.74 ncf('1.3.1',plain,[in(158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], 141 ^ [177 ^ []]), -(in(powerset(194 ^ [141 ^ [177 ^ []]]), 141 ^ [177 ^ []])), subset(powerset(194 ^ [141 ^ [177 ^ []]]), 158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []])],extension(145 ^ 6,bind([[_40429, _40431, _40433], [powerset(194 ^ [141 ^ [177 ^ []]]), 158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], 177 ^ []]]))).
% 45.05/43.74 ncf('1.3.1.1',plain,[in(powerset(194 ^ [141 ^ [177 ^ []]]), 141 ^ [177 ^ []])],extension(198 ^ 7)).
% 45.05/43.74 ncf('1.3.1.2',plain,[-(subset(powerset(194 ^ [141 ^ [177 ^ []]]), 158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []])), 128 : -(in(126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])], powerset(194 ^ [141 ^ [177 ^ []]])))],extension(125 ^ 7,bind([[_39577, _39579], [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])]]))).
% 45.05/43.74 ncf('1.3.1.2.1',plain,[in(126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])], powerset(194 ^ [141 ^ [177 ^ []]])), 88 : -(subset(126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])], 194 ^ [141 ^ [177 ^ []]])), 88 : powerset(194 ^ [141 ^ [177 ^ []]]) = powerset(194 ^ [141 ^ [177 ^ []]])],extension(84 ^ 10,bind([[_38177, _38179, _38347], [powerset(194 ^ [141 ^ [177 ^ []]]), 194 ^ [141 ^ [177 ^ []]], 126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])]]]))).
% 45.05/43.74 ncf('1.3.1.2.1.1',plain,[subset(126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])], 194 ^ [141 ^ [177 ^ []]]), -(in(126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])], 158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []]))],extension(162 ^ 13,bind([[_41056], [126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])]]]))).
% 45.05/43.74 ncf('1.3.1.2.1.1.1',plain,[in(126 ^ [158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []], powerset(194 ^ [141 ^ [177 ^ []]])], 158 ^ [194 ^ [141 ^ [177 ^ []]], 177 ^ []])],extension(130 ^ 14)).
% 45.05/43.74 ncf('1.3.1.2.1.2',plain,[-(powerset(194 ^ [141 ^ [177 ^ []]]) = powerset(194 ^ [141 ^ [177 ^ []]]))],extension(2 ^ 11,bind([[_35494], [powerset(194 ^ [141 ^ [177 ^ []]])]]))).
% 45.05/43.74 ncf('1.4',plain,[-(in(199 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []])), subset(199 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []]), -(are_equipotent(199 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []]))],extension(168 ^ 3,bind([[_41263, _41265], [199 ^ [141 ^ [177 ^ []]], 177 ^ []]]))).
% 45.05/43.74 ncf('1.4.1',plain,[-(subset(199 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []]))],extension(201 ^ 4)).
% 45.05/43.74 ncf('1.4.2',plain,[are_equipotent(199 ^ [141 ^ [177 ^ []]], 141 ^ [177 ^ []])],extension(203 ^ 4)).
% 45.05/43.74 %-----------------------------------------------------
% 45.05/43.74 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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