TSTP Solution File: SET950+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET950+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:56:43 EDT 2023
% Result : Theorem 43.55s 42.71s
% Output : Proof 43.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET950+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n010.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 18:47:12 EDT 2023
% 0.13/0.33 % CPUTime :
% 43.55/42.71
% 43.55/42.71 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.55/42.71 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.55/42.71 %-----------------------------------------------------
% 43.55/42.71 ncf(matrix, plain, [(200 ^ _42250) ^ [_42429, _42431] : [in(_42431, 192 ^ []), in(_42429, 193 ^ []), 194 ^ [] = ordered_pair(_42431, _42429)], (198 ^ _42250) ^ [] : [-(in(194 ^ [], 191 ^ []))], (196 ^ _42250) ^ [] : [-(subset(191 ^ [], cartesian_product2(192 ^ [], 193 ^ [])))], !, (102 ^ _34715) ^ [_38279, _38281, _38283] : [_38279 = cartesian_product2(_38283, _38281), 105 ^ _34715 : [(118 ^ _34715) ^ [_39040] : [-(in(_39040, _38279)), 119 ^ _34715 : [(120 ^ _34715) ^ [_39170, _39172] : [in(_39172, _38283), in(_39170, _38281), _39040 = ordered_pair(_39172, _39170)]]], (106 ^ _34715) ^ [_38480] : [in(_38480, _38279), 111 ^ _34715 : [(116 ^ _34715) ^ [] : [-(_38480 = ordered_pair(109 ^ [_38279, _38281, _38283, _38480], 110 ^ [_38279, _38281, _38283, _38480]))], (114 ^ _34715) ^ [] : [-(in(110 ^ [_38279, _38281, _38283, _38480], _38281))], (112 ^ _34715) ^ [] : [-(in(109 ^ [_38279, _38281, _38283, _38480], _38283))]]]]], (161 ^ _34715) ^ [_40813, _40815] : [subset(_40815, _40813), 164 ^ _34715 : [(165 ^ _34715) ^ [_40950] : [in(_40950, _40815), -(in(_40950, _40813))]]], (182 ^ _34715) ^ [_41573, _41575] : [empty(ordered_pair(_41575, _41573))], (180 ^ _34715) ^ [_41469, _41471] : [-(ordered_pair(_41471, _41469) = unordered_pair(unordered_pair(_41471, _41469), singleton(_41471)))], (58 ^ _34715) ^ [_36664, _36666, _36668, _36670] : [-(unordered_pair(_36670, _36666) = unordered_pair(_36668, _36664)), _36670 = _36668, _36666 = _36664], (20 ^ _34715) ^ [_35463, _35465] : [-(empty(_35463)), _35465 = _35463, empty(_35465)], (74 ^ _34715) ^ [_37241, _37243, _37245, _37247] : [-(cartesian_product2(_37247, _37243) = cartesian_product2(_37245, _37241)), _37247 = _37245, _37243 = _37241], (10 ^ _34715) ^ [_35150, _35152, _35154] : [-(_35154 = _35150), _35154 = _35152, _35152 = _35150], (100 ^ _34715) ^ [_38121, _38123] : [-(unordered_pair(_38123, _38121) = unordered_pair(_38121, _38123))], (94 ^ _34715) ^ [_37925, _37927] : [in(_37927, _37925), in(_37925, _37927)], (2 ^ _34715) ^ [_34839] : [-(_34839 = _34839)], (185 ^ _34715) ^ [] : [-(empty(183 ^ []))], (4 ^ _34715) ^ [_34946, _34948] : [_34948 = _34946, -(_34946 = _34948)], (68 ^ _34715) ^ [_36995, _36997] : [_36997 = _36995, -(singleton(_36997) = singleton(_36995))], (132 ^ _34715) ^ [_39536, _39538, _39540] : [-(_39536 = cartesian_product2(_39540, _39538)), 150 ^ _34715 : [(153 ^ _34715) ^ [] : [-(in(149 ^ [_39536, _39538, _39540], _39538))], (155 ^ _34715) ^ [] : [-(133 ^ [_39536, _39538, _39540] = ordered_pair(148 ^ [_39536, _39538, _39540], 149 ^ [_39536, _39538, _39540]))], (157 ^ _34715) ^ [] : [in(133 ^ [_39536, _39538, _39540], _39536)], (151 ^ _34715) ^ [] : [-(in(148 ^ [_39536, _39538, _39540], _39540))]], 136 ^ _34715 : [(139 ^ _34715) ^ [_39874, _39876] : [in(_39876, _39540), in(_39874, _39538), 133 ^ [_39536, _39538, _39540] = ordered_pair(_39876, _39874)], (137 ^ _34715) ^ [] : [-(in(133 ^ [_39536, _39538, _39540], _39536))]]], (171 ^ _34715) ^ [_41127, _41129] : [173 ^ _34715 : [(176 ^ _34715) ^ [] : [in(172 ^ [_41127, _41129], _41127)], (174 ^ _34715) ^ [] : [-(in(172 ^ [_41127, _41129], _41129))]], -(subset(_41129, _41127))], (190 ^ _34715) ^ [_41828, _41830] : [-(subset(_41830, _41830))], (44 ^ _34715) ^ [_36210, _36212, _36214, _36216] : [-(in(_36214, _36210)), in(_36216, _36212), _36216 = _36214, _36212 = _36210], (84 ^ _34715) ^ [_37580, _37582, _37584, _37586] : [-(ordered_pair(_37586, _37582) = ordered_pair(_37584, _37580)), _37586 = _37584, _37582 = _37580], (30 ^ _34715) ^ [_35786, _35788, _35790, _35792] : [-(subset(_35790, _35786)), subset(_35792, _35788), _35792 = _35790, _35788 = _35786], (188 ^ _34715) ^ [] : [empty(186 ^ [])]], input).
% 43.55/42.71 ncf('1',plain,[-(in(194 ^ [], 191 ^ []))],start(198 ^ 0)).
% 43.55/42.71 ncf('1.1',plain,[in(194 ^ [], 191 ^ []), 165 : -(in(194 ^ [], cartesian_product2(192 ^ [], 193 ^ []))), 165 : subset(191 ^ [], cartesian_product2(192 ^ [], 193 ^ []))],extension(161 ^ 1,bind([[_40813, _40815, _40950], [cartesian_product2(192 ^ [], 193 ^ []), 191 ^ [], 194 ^ []]]))).
% 43.55/42.71 ncf('1.1.1',plain,[in(194 ^ [], cartesian_product2(192 ^ [], 193 ^ [])), 116 : -(194 ^ [] = ordered_pair(109 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []], 110 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []])), 106 : cartesian_product2(192 ^ [], 193 ^ []) = cartesian_product2(192 ^ [], 193 ^ [])],extension(102 ^ 4,bind([[_38279, _38281, _38283, _38480], [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []]]))).
% 43.55/42.71 ncf('1.1.1.1',plain,[194 ^ [] = ordered_pair(109 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []], 110 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []]), in(109 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []], 192 ^ []), in(110 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []], 193 ^ [])],extension(200 ^ 9,bind([[_42429, _42431], [110 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []], 109 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []]]]))).
% 43.55/42.71 ncf('1.1.1.1.1',plain,[-(in(109 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []], 192 ^ []))],extension(112 ^ 10)).
% 43.55/42.71 ncf('1.1.1.1.2',plain,[-(in(110 ^ [cartesian_product2(192 ^ [], 193 ^ []), 193 ^ [], 192 ^ [], 194 ^ []], 193 ^ []))],extension(114 ^ 10)).
% 43.55/42.71 ncf('1.1.1.2',plain,[-(cartesian_product2(192 ^ [], 193 ^ []) = cartesian_product2(192 ^ [], 193 ^ [])), 192 ^ [] = 192 ^ [], 193 ^ [] = 193 ^ []],extension(74 ^ 5,bind([[_37241, _37243, _37245, _37247], [193 ^ [], 193 ^ [], 192 ^ [], 192 ^ []]]))).
% 43.55/42.71 ncf('1.1.1.2.1',plain,[-(192 ^ [] = 192 ^ [])],extension(2 ^ 6,bind([[_34839], [192 ^ []]]))).
% 43.55/42.71 ncf('1.1.1.2.2',plain,[-(193 ^ [] = 193 ^ [])],extension(2 ^ 6,bind([[_34839], [193 ^ []]]))).
% 43.55/42.71 ncf('1.1.2',plain,[-(subset(191 ^ [], cartesian_product2(192 ^ [], 193 ^ [])))],extension(196 ^ 2)).
% 43.55/42.71 %-----------------------------------------------------
% 43.55/42.71 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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