TSTP Solution File: SET893+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET893+1 : 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 11:56:37 EDT 2023
% Result : Theorem 0.35s 1.38s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET893+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 19:31:43 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.35/1.38
% 0.35/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.38 %-----------------------------------------------------
% 0.35/1.38 ncf(matrix, plain, [(151 ^ _28687) ^ [] : [160 ^ _28687 : [(161 ^ _28687) ^ [] : [-(146 ^ [] = 148 ^ [])], (163 ^ _28687) ^ [] : [-(147 ^ [] = 149 ^ [])], (165 ^ _28687) ^ [] : [in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ [])))]], 152 ^ _28687 : [(153 ^ _28687) ^ [] : [-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ []))))], (155 ^ _28687) ^ [] : [146 ^ [] = 148 ^ [], 147 ^ [] = 149 ^ []]]], (80 ^ _28687) ^ [_31471, _31473] : [in(_31473, _31471), in(_31471, _31473)], (86 ^ _28687) ^ [_31667, _31669] : [-(unordered_pair(_31669, _31667) = unordered_pair(_31667, _31669))], (119 ^ _28687) ^ [_32853, _32855] : [-(ordered_pair(_32855, _32853) = unordered_pair(unordered_pair(_32855, _32853), singleton(_32855)))], (121 ^ _28687) ^ [_32957, _32959] : [empty(ordered_pair(_32959, _32957))], (142 ^ _28687) ^ [] : [-(empty(140 ^ []))], (145 ^ _28687) ^ [] : [empty(143 ^ [])], (123 ^ _28687) ^ [_33125, _33127, _33129, _33131] : [in(ordered_pair(_33131, _33129), cartesian_product2(_33127, _33125)), 126 ^ _28687 : [(127 ^ _28687) ^ [] : [-(in(_33131, _33127))], (129 ^ _28687) ^ [] : [-(in(_33129, _33125))]]], (131 ^ _28687) ^ [_33390, _33392, _33394, _33396] : [-(in(ordered_pair(_33396, _33394), cartesian_product2(_33392, _33390))), in(_33396, _33392), in(_33394, _33390)], (104 ^ _28687) ^ [_32332, _32334] : [-(_32332 = singleton(_32334)), 108 ^ _28687 : [(109 ^ _28687) ^ [] : [-(in(105 ^ [_32332, _32334], _32332))], (111 ^ _28687) ^ [] : [105 ^ [_32332, _32334] = _32334]], 112 ^ _28687 : [(113 ^ _28687) ^ [] : [-(105 ^ [_32332, _32334] = _32334)], (115 ^ _28687) ^ [] : [in(105 ^ [_32332, _32334], _32332)]]], (88 ^ _28687) ^ [_31811, _31813] : [_31811 = singleton(_31813), 91 ^ _28687 : [(92 ^ _28687) ^ [_31981] : [in(_31981, _31811), -(_31981 = _31813)], (98 ^ _28687) ^ [_32153] : [_32153 = _31813, -(in(_32153, _31811))]]], (44 ^ _28687) ^ [_30210, _30212, _30214, _30216] : [-(unordered_pair(_30216, _30212) = unordered_pair(_30214, _30210)), _30216 = _30214, _30212 = _30210], (54 ^ _28687) ^ [_30569, _30571, _30573, _30575] : [-(ordered_pair(_30575, _30571) = ordered_pair(_30573, _30569)), _30575 = _30573, _30571 = _30569], (74 ^ _28687) ^ [_31239, _31241] : [_31241 = _31239, -(singleton(_31241) = singleton(_31239))], (64 ^ _28687) ^ [_30928, _30930, _30932, _30934] : [-(cartesian_product2(_30934, _30930) = cartesian_product2(_30932, _30928)), _30934 = _30932, _30930 = _30928], (2 ^ _28687) ^ [_28831] : [-(_28831 = _28831)], (4 ^ _28687) ^ [_28938, _28940] : [_28940 = _28938, -(_28938 = _28940)], (10 ^ _28687) ^ [_29142, _29144, _29146] : [-(_29146 = _29142), _29146 = _29144, _29144 = _29142], (20 ^ _28687) ^ [_29455, _29457] : [-(empty(_29455)), _29457 = _29455, empty(_29457)], (30 ^ _28687) ^ [_29758, _29760, _29762, _29764] : [-(in(_29762, _29758)), in(_29764, _29760), _29764 = _29762, _29760 = _29758]], input).
% 0.35/1.38 ncf('1',plain,[165 : in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ []))), 155 : 146 ^ [] = 148 ^ [], 155 : 147 ^ [] = 149 ^ []],start(151 ^ 0)).
% 0.35/1.38 ncf('1.1',plain,[-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ [])))), in(146 ^ [], singleton(148 ^ [])), in(147 ^ [], singleton(149 ^ []))],extension(131 ^ 3,bind([[_33390, _33392, _33394, _33396], [singleton(149 ^ []), singleton(148 ^ []), 147 ^ [], 146 ^ []]]))).
% 0.35/1.38 ncf('1.1.1',plain,[-(in(146 ^ [], singleton(148 ^ []))), 98 : 146 ^ [] = 148 ^ [], 98 : singleton(148 ^ []) = singleton(148 ^ [])],extension(88 ^ 4,bind([[_31811, _31813, _32153], [singleton(148 ^ []), 148 ^ [], 146 ^ []]]))).
% 0.35/1.38 ncf('1.1.1.1',plain,[-(146 ^ [] = 148 ^ [])],extension(161 ^ 7)).
% 0.35/1.38 ncf('1.1.1.2',plain,[-(singleton(148 ^ []) = singleton(148 ^ []))],extension(2 ^ 5,bind([[_28831], [singleton(148 ^ [])]]))).
% 0.35/1.38 ncf('1.1.2',plain,[-(in(147 ^ [], singleton(149 ^ []))), 98 : 147 ^ [] = 149 ^ [], 98 : singleton(149 ^ []) = singleton(149 ^ [])],extension(88 ^ 4,bind([[_31811, _31813, _32153], [singleton(149 ^ []), 149 ^ [], 147 ^ []]]))).
% 0.35/1.38 ncf('1.1.2.1',plain,[-(147 ^ [] = 149 ^ [])],extension(163 ^ 7)).
% 0.35/1.38 ncf('1.1.2.2',plain,[-(singleton(149 ^ []) = singleton(149 ^ []))],extension(2 ^ 5,bind([[_28831], [singleton(149 ^ [])]]))).
% 0.35/1.38 ncf('1.2',plain,[-(146 ^ [] = 148 ^ []), 92 : in(146 ^ [], singleton(148 ^ [])), 92 : singleton(148 ^ []) = singleton(148 ^ [])],extension(88 ^ 3,bind([[_31811, _31813, _31981], [singleton(148 ^ []), 148 ^ [], 146 ^ []]]))).
% 0.35/1.38 ncf('1.2.1',plain,[-(in(146 ^ [], singleton(148 ^ []))), in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ [])))],extension(123 ^ 6,bind([[_33125, _33127, _33129, _33131], [singleton(149 ^ []), singleton(148 ^ []), 147 ^ [], 146 ^ []]]))).
% 0.35/1.38 ncf('1.2.1.1',plain,[-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ []))))],extension(153 ^ 7)).
% 0.35/1.38 ncf('1.2.2',plain,[-(singleton(148 ^ []) = singleton(148 ^ [])), 148 ^ [] = 148 ^ []],extension(74 ^ 4,bind([[_31239, _31241], [148 ^ [], 148 ^ []]]))).
% 0.35/1.38 ncf('1.2.2.1',plain,[-(148 ^ [] = 148 ^ [])],extension(2 ^ 5,bind([[_28831], [148 ^ []]]))).
% 0.35/1.38 ncf('1.3',plain,[-(147 ^ [] = 149 ^ []), 92 : in(147 ^ [], singleton(149 ^ [])), 92 : singleton(149 ^ []) = singleton(149 ^ [])],extension(88 ^ 3,bind([[_31811, _31813, _31981], [singleton(149 ^ []), 149 ^ [], 147 ^ []]]))).
% 0.35/1.38 ncf('1.3.1',plain,[-(in(147 ^ [], singleton(149 ^ []))), in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ [])))],extension(123 ^ 6,bind([[_33125, _33127, _33129, _33131], [singleton(149 ^ []), singleton(148 ^ []), 147 ^ [], 146 ^ []]]))).
% 0.35/1.38 ncf('1.3.1.1',plain,[-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), singleton(149 ^ []))))],extension(153 ^ 7)).
% 0.35/1.38 ncf('1.3.2',plain,[-(singleton(149 ^ []) = singleton(149 ^ [])), 149 ^ [] = 149 ^ []],extension(74 ^ 4,bind([[_31239, _31241], [149 ^ [], 149 ^ []]]))).
% 0.35/1.38 ncf('1.3.2.1',plain,[-(149 ^ [] = 149 ^ [])],extension(2 ^ 5,bind([[_28831], [149 ^ []]]))).
% 0.35/1.38 %-----------------------------------------------------
% 0.35/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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