TSTP Solution File: SET959+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET959+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 0.39s 1.39s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET959+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 19:38:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.39/1.39
% 0.39/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.39/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.39 %-----------------------------------------------------
% 0.39/1.39 ncf(matrix, plain, [(133 ^ _29659) ^ [] : [102 ^ [] = 103 ^ []], (105 ^ _29659) ^ [_33583] : [in(_33583, 102 ^ []), -(_33583 = ordered_pair(108 ^ [_33583], 109 ^ [_33583]))], (113 ^ _29659) ^ [_33903] : [in(_33903, 103 ^ []), -(_33903 = ordered_pair(116 ^ [_33903], 117 ^ [_33903]))], (121 ^ _29659) ^ [_34246, _34248] : [in(ordered_pair(_34248, _34246), 102 ^ []), -(in(ordered_pair(_34248, _34246), 103 ^ []))], (127 ^ _29659) ^ [_34420, _34422] : [in(ordered_pair(_34422, _34420), 103 ^ []), -(in(ordered_pair(_34422, _34420), 102 ^ []))], (70 ^ _29659) ^ [_32080, _32082] : [in(_32082, _32080), in(_32080, _32082)], (76 ^ _29659) ^ [_32276, _32278] : [-(unordered_pair(_32278, _32276) = unordered_pair(_32276, _32278))], (78 ^ _29659) ^ [_32376, _32378] : [-(ordered_pair(_32378, _32376) = unordered_pair(unordered_pair(_32378, _32376), singleton(_32378)))], (80 ^ _29659) ^ [_32480, _32482] : [empty(ordered_pair(_32482, _32480))], (83 ^ _29659) ^ [] : [-(empty(81 ^ []))], (86 ^ _29659) ^ [] : [empty(84 ^ [])], (88 ^ _29659) ^ [_32750, _32752] : [-(_32752 = _32750), 92 ^ _29659 : [(93 ^ _29659) ^ [] : [-(in(89 ^ [_32750, _32752], _32752))], (95 ^ _29659) ^ [] : [in(89 ^ [_32750, _32752], _32750)]], 96 ^ _29659 : [(97 ^ _29659) ^ [] : [-(in(89 ^ [_32750, _32752], _32750))], (99 ^ _29659) ^ [] : [in(89 ^ [_32750, _32752], _32752)]]], (44 ^ _29659) ^ [_31182, _31184, _31186, _31188] : [-(unordered_pair(_31188, _31184) = unordered_pair(_31186, _31182)), _31188 = _31186, _31184 = _31182], (54 ^ _29659) ^ [_31513, _31515] : [_31515 = _31513, -(singleton(_31515) = singleton(_31513))], (60 ^ _29659) ^ [_31739, _31741, _31743, _31745] : [-(ordered_pair(_31745, _31741) = ordered_pair(_31743, _31739)), _31745 = _31743, _31741 = _31739], (2 ^ _29659) ^ [_29803] : [-(_29803 = _29803)], (4 ^ _29659) ^ [_29910, _29912] : [_29912 = _29910, -(_29910 = _29912)], (10 ^ _29659) ^ [_30114, _30116, _30118] : [-(_30118 = _30114), _30118 = _30116, _30116 = _30114], (20 ^ _29659) ^ [_30427, _30429] : [-(empty(_30427)), _30429 = _30427, empty(_30429)], (30 ^ _29659) ^ [_30730, _30732, _30734, _30736] : [-(in(_30734, _30730)), in(_30736, _30732), _30736 = _30734, _30732 = _30730]], input).
% 0.39/1.39 ncf('1',plain,[102 ^ [] = 103 ^ []],start(133 ^ 0)).
% 0.39/1.39 ncf('1.1',plain,[-(102 ^ [] = 103 ^ []), 95 : in(89 ^ [103 ^ [], 102 ^ []], 103 ^ []), 99 : in(89 ^ [103 ^ [], 102 ^ []], 102 ^ [])],extension(88 ^ 1,bind([[_32750, _32752], [103 ^ [], 102 ^ []]]))).
% 0.39/1.39 ncf('1.1.1',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 103 ^ [])), in(ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]), 103 ^ []), ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]) = 89 ^ [103 ^ [], 102 ^ []], 103 ^ [] = 103 ^ []],extension(30 ^ 4,bind([[_30730, _30732, _30734, _30736], [103 ^ [], 103 ^ [], 89 ^ [103 ^ [], 102 ^ []], ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]])]]))).
% 0.39/1.39 ncf('1.1.1.1',plain,[-(in(ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]), 103 ^ [])), in(ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]), 102 ^ [])],extension(121 ^ 5,bind([[_34246, _34248], [109 ^ [89 ^ [103 ^ [], 102 ^ []]], 108 ^ [89 ^ [103 ^ [], 102 ^ []]]]]))).
% 0.39/1.39 ncf('1.1.1.1.1',plain,[-(in(ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]), 102 ^ [])), in(89 ^ [103 ^ [], 102 ^ []], 102 ^ []), 89 ^ [103 ^ [], 102 ^ []] = ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]), 102 ^ [] = 102 ^ []],extension(30 ^ 6,bind([[_30730, _30732, _30734, _30736], [102 ^ [], 102 ^ [], ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]), 89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.1.1.1.1',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 102 ^ []))],extension(93 ^ 7)).
% 0.39/1.39 ncf('1.1.1.1.1.2',plain,[-(89 ^ [103 ^ [], 102 ^ []] = ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]])), in(89 ^ [103 ^ [], 102 ^ []], 102 ^ [])],extension(105 ^ 7,bind([[_33583], [89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.1.1.1.2.1',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 102 ^ []))],lemmata('[1, 1, 1, 1].x')).
% 0.39/1.39 ncf('1.1.1.1.1.3',plain,[-(102 ^ [] = 102 ^ [])],extension(2 ^ 7,bind([[_29803], [102 ^ []]]))).
% 0.39/1.39 ncf('1.1.1.2',plain,[-(ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]) = 89 ^ [103 ^ [], 102 ^ []]), 89 ^ [103 ^ [], 102 ^ []] = ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]])],extension(4 ^ 5,bind([[_29910, _29912], [ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]]), 89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.1.2.1',plain,[-(89 ^ [103 ^ [], 102 ^ []] = ordered_pair(108 ^ [89 ^ [103 ^ [], 102 ^ []]], 109 ^ [89 ^ [103 ^ [], 102 ^ []]])), in(89 ^ [103 ^ [], 102 ^ []], 102 ^ [])],extension(105 ^ 6,bind([[_33583], [89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.1.2.1.1',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 102 ^ []))],extension(93 ^ 7)).
% 0.39/1.39 ncf('1.1.1.3',plain,[-(103 ^ [] = 103 ^ []), 93 : -(in(89 ^ [103 ^ [], 103 ^ []], 103 ^ [])), 97 : -(in(89 ^ [103 ^ [], 103 ^ []], 103 ^ []))],extension(88 ^ 5,bind([[_32750, _32752], [103 ^ [], 103 ^ []]]))).
% 0.39/1.39 ncf('1.1.1.3.1',plain,[in(89 ^ [103 ^ [], 103 ^ []], 103 ^ [])],extension(95 ^ 8)).
% 0.39/1.39 ncf('1.1.1.3.2',plain,[in(89 ^ [103 ^ [], 103 ^ []], 103 ^ [])],extension(99 ^ 8)).
% 0.39/1.39 ncf('1.1.2',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 102 ^ [])), in(ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]), 102 ^ []), ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]) = 89 ^ [103 ^ [], 102 ^ []], 102 ^ [] = 102 ^ []],extension(30 ^ 4,bind([[_30730, _30732, _30734, _30736], [102 ^ [], 102 ^ [], 89 ^ [103 ^ [], 102 ^ []], ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]])]]))).
% 0.39/1.39 ncf('1.1.2.1',plain,[-(in(ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]), 102 ^ [])), in(ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]), 103 ^ [])],extension(127 ^ 5,bind([[_34420, _34422], [117 ^ [89 ^ [103 ^ [], 102 ^ []]], 116 ^ [89 ^ [103 ^ [], 102 ^ []]]]]))).
% 0.39/1.39 ncf('1.1.2.1.1',plain,[-(in(ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]), 103 ^ [])), in(89 ^ [103 ^ [], 102 ^ []], 103 ^ []), 89 ^ [103 ^ [], 102 ^ []] = ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]), 103 ^ [] = 103 ^ []],extension(30 ^ 6,bind([[_30730, _30732, _30734, _30736], [103 ^ [], 103 ^ [], ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]), 89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.2.1.1.1',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 103 ^ []))],extension(97 ^ 7)).
% 0.39/1.39 ncf('1.1.2.1.1.2',plain,[-(89 ^ [103 ^ [], 102 ^ []] = ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]])), in(89 ^ [103 ^ [], 102 ^ []], 103 ^ [])],extension(113 ^ 7,bind([[_33903], [89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.2.1.1.2.1',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 103 ^ []))],lemmata('[1, 2, 1, 1].x')).
% 0.39/1.39 ncf('1.1.2.1.1.3',plain,[-(103 ^ [] = 103 ^ [])],extension(2 ^ 7,bind([[_29803], [103 ^ []]]))).
% 0.39/1.39 ncf('1.1.2.2',plain,[-(ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]) = 89 ^ [103 ^ [], 102 ^ []]), 89 ^ [103 ^ [], 102 ^ []] = ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]])],extension(4 ^ 5,bind([[_29910, _29912], [ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]]), 89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.2.2.1',plain,[-(89 ^ [103 ^ [], 102 ^ []] = ordered_pair(116 ^ [89 ^ [103 ^ [], 102 ^ []]], 117 ^ [89 ^ [103 ^ [], 102 ^ []]])), in(89 ^ [103 ^ [], 102 ^ []], 103 ^ [])],extension(113 ^ 6,bind([[_33903], [89 ^ [103 ^ [], 102 ^ []]]]))).
% 0.39/1.39 ncf('1.1.2.2.1.1',plain,[-(in(89 ^ [103 ^ [], 102 ^ []], 103 ^ []))],extension(97 ^ 7)).
% 0.39/1.39 ncf('1.1.2.3',plain,[-(102 ^ [] = 102 ^ []), 93 : -(in(89 ^ [102 ^ [], 102 ^ []], 102 ^ [])), 97 : -(in(89 ^ [102 ^ [], 102 ^ []], 102 ^ []))],extension(88 ^ 5,bind([[_32750, _32752], [102 ^ [], 102 ^ []]]))).
% 0.39/1.39 ncf('1.1.2.3.1',plain,[in(89 ^ [102 ^ [], 102 ^ []], 102 ^ [])],extension(95 ^ 8)).
% 0.39/1.39 ncf('1.1.2.3.2',plain,[in(89 ^ [102 ^ [], 102 ^ []], 102 ^ [])],extension(99 ^ 8)).
% 0.39/1.39 %-----------------------------------------------------
% 0.39/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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