TSTP Solution File: SET957+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET957+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 11:56:44 EDT 2023
% Result : Theorem 43.58s 42.79s
% Output : Proof 43.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET957+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 18 19:27:41 EDT 2023
% 0.11/0.32 % CPUTime :
% 43.58/42.79
% 43.58/42.79 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.58/42.79 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.58/42.79 %-----------------------------------------------------
% 43.58/42.79 ncf(matrix, plain, [(167 ^ _45288) ^ [] : [144 ^ [] = 147 ^ []], (153 ^ _45288) ^ [] : [-(subset(147 ^ [], cartesian_product2(148 ^ [], 149 ^ [])))], (161 ^ _45288) ^ [_45690, _45692] : [in(ordered_pair(_45692, _45690), 147 ^ []), -(in(ordered_pair(_45692, _45690), 144 ^ []))], (155 ^ _45288) ^ [_45516, _45518] : [in(ordered_pair(_45518, _45516), 144 ^ []), -(in(ordered_pair(_45518, _45516), 147 ^ []))], (151 ^ _45288) ^ [] : [-(subset(144 ^ [], cartesian_product2(145 ^ [], 146 ^ [])))], !, (74 ^ _39555) ^ [_42081, _42083, _42085, _42087] : [-(cartesian_product2(_42087, _42083) = cartesian_product2(_42085, _42081)), _42087 = _42085, _42083 = _42081], (110 ^ _39555) ^ [] : [empty(108 ^ [])], (20 ^ _39555) ^ [_40303, _40305] : [-(empty(_40303)), _40305 = _40303, empty(_40305)], (130 ^ _39555) ^ [_44268, _44270] : [-(_44270 = _44268), 134 ^ _39555 : [(137 ^ _39555) ^ [] : [in(131 ^ [_44268, _44270], _44268)], (135 ^ _39555) ^ [] : [-(in(131 ^ [_44268, _44270], _44270))]], 138 ^ _39555 : [(141 ^ _39555) ^ [] : [in(131 ^ [_44268, _44270], _44270)], (139 ^ _39555) ^ [] : [-(in(131 ^ [_44268, _44270], _44268))]]], (58 ^ _39555) ^ [_41504, _41506, _41508, _41510] : [-(unordered_pair(_41510, _41506) = unordered_pair(_41508, _41504)), _41510 = _41508, _41506 = _41504], (94 ^ _39555) ^ [_42765, _42767] : [in(_42767, _42765), in(_42765, _42767)], (104 ^ _39555) ^ [_43165, _43167] : [empty(ordered_pair(_43167, _43165))], (114 ^ _39555) ^ [_43577, _43579, _43581, _43583] : [subset(_43583, cartesian_product2(_43581, _43579)), in(_43577, _43583), 123 ^ _39555 : [(128 ^ _39555) ^ [] : [-(_43577 = ordered_pair(121 ^ [_43577, _43579, _43581, _43583], 122 ^ [_43577, _43579, _43581, _43583]))], (126 ^ _39555) ^ [] : [-(in(122 ^ [_43577, _43579, _43581, _43583], _43579))], (124 ^ _39555) ^ [] : [-(in(121 ^ [_43577, _43579, _43581, _43583], _43581))]]], (107 ^ _39555) ^ [] : [-(empty(105 ^ []))], (30 ^ _39555) ^ [_40626, _40628, _40630, _40632] : [-(subset(_40630, _40626)), subset(_40632, _40628), _40632 = _40630, _40628 = _40626], (84 ^ _39555) ^ [_42420, _42422, _42424, _42426] : [-(ordered_pair(_42426, _42422) = ordered_pair(_42424, _42420)), _42426 = _42424, _42422 = _42420], (100 ^ _39555) ^ [_42961, _42963] : [-(unordered_pair(_42963, _42961) = unordered_pair(_42961, _42963))], (44 ^ _39555) ^ [_41050, _41052, _41054, _41056] : [-(in(_41054, _41050)), in(_41056, _41052), _41056 = _41054, _41052 = _41050], (4 ^ _39555) ^ [_39786, _39788] : [_39788 = _39786, -(_39786 = _39788)], (2 ^ _39555) ^ [_39679] : [-(_39679 = _39679)], (112 ^ _39555) ^ [_43440, _43442] : [-(subset(_43442, _43442))], (102 ^ _39555) ^ [_43061, _43063] : [-(ordered_pair(_43063, _43061) = unordered_pair(unordered_pair(_43063, _43061), singleton(_43063)))], (68 ^ _39555) ^ [_41835, _41837] : [_41837 = _41835, -(singleton(_41837) = singleton(_41835))], (10 ^ _39555) ^ [_39990, _39992, _39994] : [-(_39994 = _39990), _39994 = _39992, _39992 = _39990]], input).
% 43.58/42.79 ncf('1',plain,[144 ^ [] = 147 ^ []],start(167 ^ 0)).
% 43.58/42.79 ncf('1.1',plain,[-(144 ^ [] = 147 ^ []), 135 : -(in(131 ^ [147 ^ [], 144 ^ []], 144 ^ [])), 141 : in(131 ^ [147 ^ [], 144 ^ []], 144 ^ [])],extension(130 ^ 1,bind([[_44268, _44270], [147 ^ [], 144 ^ []]]))).
% 43.58/42.79 ncf('1.1.1',plain,[in(131 ^ [147 ^ [], 144 ^ []], 144 ^ []), subset(144 ^ [], cartesian_product2(145 ^ [], 146 ^ [])), 128 : -(131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]))],extension(114 ^ 4,bind([[_43577, _43579, _43581, _43583], [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]]))).
% 43.58/42.79 ncf('1.1.1.1',plain,[-(subset(144 ^ [], cartesian_product2(145 ^ [], 146 ^ [])))],extension(151 ^ 5)).
% 43.58/42.79 ncf('1.1.1.2',plain,[131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]), -(in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]), 144 ^ [])), in(131 ^ [147 ^ [], 144 ^ []], 144 ^ []), 144 ^ [] = 144 ^ []],extension(44 ^ 7,bind([[_41050, _41052, _41054, _41056], [144 ^ [], 144 ^ [], ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]), 131 ^ [147 ^ [], 144 ^ []]]]))).
% 43.58/42.79 ncf('1.1.1.2.1',plain,[in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]), 144 ^ []), -(in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]), 147 ^ []))],extension(155 ^ 8,bind([[_45516, _45518], [122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]]]))).
% 43.58/42.79 ncf('1.1.1.2.1.1',plain,[in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]), 147 ^ []), -(in(131 ^ [147 ^ [], 144 ^ []], 147 ^ [])), ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]) = 131 ^ [147 ^ [], 144 ^ []], 147 ^ [] = 147 ^ []],extension(44 ^ 9,bind([[_41050, _41052, _41054, _41056], [147 ^ [], 147 ^ [], 131 ^ [147 ^ [], 144 ^ []], ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []])]]))).
% 43.58/42.79 ncf('1.1.1.2.1.1.1',plain,[in(131 ^ [147 ^ [], 144 ^ []], 147 ^ [])],extension(137 ^ 10)).
% 43.58/42.79 ncf('1.1.1.2.1.1.2',plain,[-(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]) = 131 ^ [147 ^ [], 144 ^ []]), 131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []])],extension(4 ^ 10,bind([[_39786, _39788], [ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]), 131 ^ [147 ^ [], 144 ^ []]]]))).
% 43.58/42.79 ncf('1.1.1.2.1.1.2.1',plain,[-(131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 146 ^ [], 145 ^ [], 144 ^ []]))],reduction('1.1.1')).
% 43.58/42.79 ncf('1.1.1.2.1.1.3',plain,[-(147 ^ [] = 147 ^ [])],extension(2 ^ 10,bind([[_39679], [147 ^ []]]))).
% 43.58/42.79 ncf('1.1.1.2.2',plain,[-(in(131 ^ [147 ^ [], 144 ^ []], 144 ^ []))],reduction('1.1')).
% 43.58/42.79 ncf('1.1.1.2.3',plain,[-(144 ^ [] = 144 ^ []), 137 : in(131 ^ [144 ^ [], 144 ^ []], 144 ^ []), 141 : in(131 ^ [144 ^ [], 144 ^ []], 144 ^ [])],extension(130 ^ 8,bind([[_44268, _44270], [144 ^ [], 144 ^ []]]))).
% 43.58/42.79 ncf('1.1.1.2.3.1',plain,[-(in(131 ^ [144 ^ [], 144 ^ []], 144 ^ []))],extension(135 ^ 11)).
% 43.58/42.79 ncf('1.1.1.2.3.2',plain,[-(in(131 ^ [144 ^ [], 144 ^ []], 144 ^ []))],extension(139 ^ 11)).
% 43.58/42.79 ncf('1.1.2',plain,[-(in(131 ^ [147 ^ [], 144 ^ []], 144 ^ [])), in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]), 144 ^ []), ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]) = 131 ^ [147 ^ [], 144 ^ []], 144 ^ [] = 144 ^ []],extension(44 ^ 4,bind([[_41050, _41052, _41054, _41056], [144 ^ [], 144 ^ [], 131 ^ [147 ^ [], 144 ^ []], ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []])]]))).
% 43.58/42.79 ncf('1.1.2.1',plain,[-(in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]), 144 ^ [])), in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]), 147 ^ [])],extension(161 ^ 5,bind([[_45690, _45692], [122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]]]))).
% 43.58/42.79 ncf('1.1.2.1.1',plain,[-(in(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]), 147 ^ [])), in(131 ^ [147 ^ [], 144 ^ []], 147 ^ []), 131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]), 147 ^ [] = 147 ^ []],extension(44 ^ 6,bind([[_41050, _41052, _41054, _41056], [147 ^ [], 147 ^ [], ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]), 131 ^ [147 ^ [], 144 ^ []]]]))).
% 43.58/42.79 ncf('1.1.2.1.1.1',plain,[-(in(131 ^ [147 ^ [], 144 ^ []], 147 ^ []))],extension(139 ^ 7)).
% 43.58/42.79 ncf('1.1.2.1.1.2',plain,[-(131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []])), subset(147 ^ [], cartesian_product2(148 ^ [], 149 ^ [])), in(131 ^ [147 ^ [], 144 ^ []], 147 ^ [])],extension(114 ^ 7,bind([[_43577, _43579, _43581, _43583], [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]]))).
% 43.58/42.79 ncf('1.1.2.1.1.2.1',plain,[-(subset(147 ^ [], cartesian_product2(148 ^ [], 149 ^ [])))],extension(153 ^ 8)).
% 43.58/42.79 ncf('1.1.2.1.1.2.2',plain,[-(in(131 ^ [147 ^ [], 144 ^ []], 147 ^ []))],lemmata('[1, 2, 1, 1].x')).
% 43.58/42.79 ncf('1.1.2.1.1.3',plain,[-(147 ^ [] = 147 ^ []), 137 : in(131 ^ [147 ^ [], 147 ^ []], 147 ^ []), 141 : in(131 ^ [147 ^ [], 147 ^ []], 147 ^ [])],extension(130 ^ 7,bind([[_44268, _44270], [147 ^ [], 147 ^ []]]))).
% 43.58/42.79 ncf('1.1.2.1.1.3.1',plain,[-(in(131 ^ [147 ^ [], 147 ^ []], 147 ^ []))],extension(135 ^ 10)).
% 43.58/42.79 ncf('1.1.2.1.1.3.2',plain,[-(in(131 ^ [147 ^ [], 147 ^ []], 147 ^ []))],extension(139 ^ 10)).
% 43.58/42.79 ncf('1.1.2.2',plain,[-(ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]) = 131 ^ [147 ^ [], 144 ^ []]), 131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []])],extension(4 ^ 5,bind([[_39786, _39788], [ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]), 131 ^ [147 ^ [], 144 ^ []]]]))).
% 43.58/42.79 ncf('1.1.2.2.1',plain,[-(131 ^ [147 ^ [], 144 ^ []] = ordered_pair(121 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []], 122 ^ [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []])), subset(147 ^ [], cartesian_product2(148 ^ [], 149 ^ [])), in(131 ^ [147 ^ [], 144 ^ []], 147 ^ [])],extension(114 ^ 6,bind([[_43577, _43579, _43581, _43583], [131 ^ [147 ^ [], 144 ^ []], 149 ^ [], 148 ^ [], 147 ^ []]]))).
% 43.58/42.79 ncf('1.1.2.2.1.1',plain,[-(subset(147 ^ [], cartesian_product2(148 ^ [], 149 ^ [])))],extension(153 ^ 7)).
% 43.58/42.79 ncf('1.1.2.2.1.2',plain,[-(in(131 ^ [147 ^ [], 144 ^ []], 147 ^ []))],extension(139 ^ 7)).
% 43.58/42.79 ncf('1.1.2.3',plain,[-(144 ^ [] = 144 ^ []), 137 : in(131 ^ [144 ^ [], 144 ^ []], 144 ^ []), 141 : in(131 ^ [144 ^ [], 144 ^ []], 144 ^ [])],extension(130 ^ 5,bind([[_44268, _44270], [144 ^ [], 144 ^ []]]))).
% 43.58/42.79 ncf('1.1.2.3.1',plain,[-(in(131 ^ [144 ^ [], 144 ^ []], 144 ^ []))],extension(135 ^ 8)).
% 43.58/42.79 ncf('1.1.2.3.2',plain,[-(in(131 ^ [144 ^ [], 144 ^ []], 144 ^ []))],extension(139 ^ 8)).
% 43.58/42.79 %-----------------------------------------------------
% 43.58/42.79 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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