TSTP Solution File: SET977+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET977+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 11:56:46 EDT 2023
% Result : Theorem 0.40s 1.39s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET977+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 19:04:33 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.40/1.39
% 0.40/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.40/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.39 %-----------------------------------------------------
% 0.40/1.39 ncf(matrix, plain, [(151 ^ _27123) ^ [] : [148 ^ [] = empty_set], (153 ^ _27123) ^ [] : [-(cartesian_product2(singleton(149 ^ []), 148 ^ []) = empty_set), -(cartesian_product2(148 ^ [], singleton(149 ^ [])) = empty_set)], (80 ^ _27123) ^ [_29907, _29909] : [in(_29909, _29907), in(_29907, _29909)], (86 ^ _27123) ^ [_30103, _30105] : [-(unordered_pair(_30105, _30103) = unordered_pair(_30103, _30105))], (88 ^ _27123) ^ [_30233] : [_30233 = empty_set, 91 ^ _27123 : [(92 ^ _27123) ^ [_30346] : [in(_30346, _30233)]]], (94 ^ _27123) ^ [_30412] : [-(in(95 ^ [_30412], _30412)), -(_30412 = empty_set)], (101 ^ _27123) ^ [_30659, _30661] : [-(ordered_pair(_30661, _30659) = unordered_pair(unordered_pair(_30661, _30659), singleton(_30661)))], (103 ^ _27123) ^ [] : [-(empty(empty_set))], (105 ^ _27123) ^ [_30816, _30818] : [empty(ordered_pair(_30818, _30816))], (108 ^ _27123) ^ [] : [-(empty(106 ^ []))], (111 ^ _27123) ^ [] : [empty(109 ^ [])], (113 ^ _27123) ^ [_31163, _31165, _31167, _31169] : [in(ordered_pair(_31169, _31167), cartesian_product2(singleton(_31165), _31163)), 116 ^ _27123 : [(117 ^ _27123) ^ [] : [-(_31169 = _31165)], (119 ^ _27123) ^ [] : [-(in(_31167, _31163))]]], (121 ^ _27123) ^ [_31432, _31434, _31436, _31438] : [-(in(ordered_pair(_31438, _31436), cartesian_product2(singleton(_31434), _31432))), _31438 = _31434, in(_31436, _31432)], (131 ^ _27123) ^ [_31806, _31808, _31810, _31812] : [in(ordered_pair(_31812, _31810), cartesian_product2(_31808, singleton(_31806))), 134 ^ _27123 : [(135 ^ _27123) ^ [] : [-(in(_31812, _31808))], (137 ^ _27123) ^ [] : [-(_31810 = _31806)]]], (139 ^ _27123) ^ [_32075, _32077, _32079, _32081] : [-(in(ordered_pair(_32081, _32079), cartesian_product2(_32077, singleton(_32075)))), in(_32081, _32077), _32079 = _32075], (44 ^ _27123) ^ [_28646, _28648, _28650, _28652] : [-(unordered_pair(_28652, _28648) = unordered_pair(_28650, _28646)), _28652 = _28650, _28648 = _28646], (54 ^ _27123) ^ [_29005, _29007, _29009, _29011] : [-(ordered_pair(_29011, _29007) = ordered_pair(_29009, _29005)), _29011 = _29009, _29007 = _29005], (74 ^ _27123) ^ [_29675, _29677] : [_29677 = _29675, -(singleton(_29677) = singleton(_29675))], (64 ^ _27123) ^ [_29364, _29366, _29368, _29370] : [-(cartesian_product2(_29370, _29366) = cartesian_product2(_29368, _29364)), _29370 = _29368, _29366 = _29364], (2 ^ _27123) ^ [_27267] : [-(_27267 = _27267)], (4 ^ _27123) ^ [_27374, _27376] : [_27376 = _27374, -(_27374 = _27376)], (10 ^ _27123) ^ [_27578, _27580, _27582] : [-(_27582 = _27578), _27582 = _27580, _27580 = _27578], (20 ^ _27123) ^ [_27891, _27893] : [-(empty(_27891)), _27893 = _27891, empty(_27893)], (30 ^ _27123) ^ [_28194, _28196, _28198, _28200] : [-(in(_28198, _28194)), in(_28200, _28196), _28200 = _28198, _28196 = _28194]], input).
% 0.40/1.39 ncf('1',plain,[cartesian_product2(singleton(149 ^ []), 148 ^ []) = empty_set, 92 : in(ordered_pair(149 ^ [], 95 ^ [148 ^ []]), cartesian_product2(singleton(149 ^ []), 148 ^ []))],start(88 ^ 0,bind([[_30233, _30346], [cartesian_product2(singleton(149 ^ []), 148 ^ []), ordered_pair(149 ^ [], 95 ^ [148 ^ []])]]))).
% 0.40/1.39 ncf('1.1',plain,[-(cartesian_product2(singleton(149 ^ []), 148 ^ []) = empty_set), -(cartesian_product2(148 ^ [], singleton(149 ^ [])) = empty_set)],extension(153 ^ 1)).
% 0.40/1.39 ncf('1.1.1',plain,[cartesian_product2(148 ^ [], singleton(149 ^ [])) = empty_set, 92 : in(ordered_pair(95 ^ [148 ^ []], 149 ^ []), cartesian_product2(148 ^ [], singleton(149 ^ [])))],extension(88 ^ 2,bind([[_30233, _30346], [cartesian_product2(148 ^ [], singleton(149 ^ [])), ordered_pair(95 ^ [148 ^ []], 149 ^ [])]]))).
% 0.40/1.39 ncf('1.1.1.1',plain,[-(in(ordered_pair(95 ^ [148 ^ []], 149 ^ []), cartesian_product2(148 ^ [], singleton(149 ^ [])))), in(95 ^ [148 ^ []], 148 ^ []), 149 ^ [] = 149 ^ []],extension(139 ^ 5,bind([[_32075, _32077, _32079, _32081], [149 ^ [], 148 ^ [], 149 ^ [], 95 ^ [148 ^ []]]]))).
% 0.40/1.39 ncf('1.1.1.1.1',plain,[-(in(95 ^ [148 ^ []], 148 ^ [])), -(148 ^ [] = empty_set)],extension(94 ^ 6,bind([[_30412], [148 ^ []]]))).
% 0.40/1.39 ncf('1.1.1.1.1.1',plain,[148 ^ [] = empty_set],extension(151 ^ 7)).
% 0.40/1.39 ncf('1.1.1.1.2',plain,[-(149 ^ [] = 149 ^ [])],extension(2 ^ 6,bind([[_27267], [149 ^ []]]))).
% 0.40/1.39 ncf('1.2',plain,[-(in(ordered_pair(149 ^ [], 95 ^ [148 ^ []]), cartesian_product2(singleton(149 ^ []), 148 ^ []))), 149 ^ [] = 149 ^ [], in(95 ^ [148 ^ []], 148 ^ [])],extension(121 ^ 3,bind([[_31432, _31434, _31436, _31438], [148 ^ [], 149 ^ [], 95 ^ [148 ^ []], 149 ^ []]]))).
% 0.40/1.39 ncf('1.2.1',plain,[-(149 ^ [] = 149 ^ [])],extension(2 ^ 4,bind([[_27267], [149 ^ []]]))).
% 0.40/1.39 ncf('1.2.2',plain,[-(in(95 ^ [148 ^ []], 148 ^ [])), -(148 ^ [] = empty_set)],extension(94 ^ 4,bind([[_30412], [148 ^ []]]))).
% 0.40/1.39 ncf('1.2.2.1',plain,[148 ^ [] = empty_set],extension(151 ^ 5)).
% 0.40/1.39 %-----------------------------------------------------
% 0.40/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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