TSTP Solution File: SET958+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 19:38:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(139 ^ _25806) ^ [] : [subset(122 ^ [], 123 ^ [])], (125 ^ _25806) ^ [_30386] : [in(_30386, 122 ^ []), -(_30386 = ordered_pair(128 ^ [_30386], 129 ^ [_30386]))], (133 ^ _25806) ^ [_30700, _30702] : [in(ordered_pair(_30702, _30700), 122 ^ []), -(in(ordered_pair(_30702, _30700), 123 ^ []))], (84 ^ _25806) ^ [_28673, _28675] : [in(_28675, _28673), in(_28673, _28675)], (90 ^ _25806) ^ [_28869, _28871] : [-(unordered_pair(_28871, _28869) = unordered_pair(_28869, _28871))], (111 ^ _25806) ^ [_29669, _29671] : [-(ordered_pair(_29671, _29669) = unordered_pair(unordered_pair(_29671, _29669), singleton(_29671)))], (113 ^ _25806) ^ [_29773, _29775] : [empty(ordered_pair(_29775, _29773))], (116 ^ _25806) ^ [] : [-(empty(114 ^ []))], (119 ^ _25806) ^ [] : [empty(117 ^ [])], (121 ^ _25806) ^ [_30028, _30030] : [-(subset(_30030, _30030))], (102 ^ _25806) ^ [_29327, _29329] : [104 ^ _25806 : [(105 ^ _25806) ^ [] : [-(in(103 ^ [_29327, _29329], _29329))], (107 ^ _25806) ^ [] : [in(103 ^ [_29327, _29329], _29327)]], -(subset(_29329, _29327))], (92 ^ _25806) ^ [_29013, _29015] : [subset(_29015, _29013), 95 ^ _25806 : [(96 ^ _25806) ^ [_29150] : [in(_29150, _29015), -(in(_29150, _29013))]]], (58 ^ _25806) ^ [_27775, _27777, _27779, _27781] : [-(unordered_pair(_27781, _27777) = unordered_pair(_27779, _27775)), _27781 = _27779, _27777 = _27775], (68 ^ _25806) ^ [_28106, _28108] : [_28108 = _28106, -(singleton(_28108) = singleton(_28106))], (74 ^ _25806) ^ [_28332, _28334, _28336, _28338] : [-(ordered_pair(_28338, _28334) = ordered_pair(_28336, _28332)), _28338 = _28336, _28334 = _28332], (2 ^ _25806) ^ [_25950] : [-(_25950 = _25950)], (4 ^ _25806) ^ [_26057, _26059] : [_26059 = _26057, -(_26057 = _26059)], (10 ^ _25806) ^ [_26261, _26263, _26265] : [-(_26265 = _26261), _26265 = _26263, _26263 = _26261], (20 ^ _25806) ^ [_26574, _26576] : [-(empty(_26574)), _26576 = _26574, empty(_26576)], (30 ^ _25806) ^ [_26897, _26899, _26901, _26903] : [-(in(_26901, _26897)), in(_26903, _26899), _26903 = _26901, _26899 = _26897], (44 ^ _25806) ^ [_27321, _27323, _27325, _27327] : [-(subset(_27325, _27321)), subset(_27327, _27323), _27327 = _27325, _27323 = _27321]], input).
% 0.34/1.38 ncf('1',plain,[subset(122 ^ [], 123 ^ [])],start(139 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(subset(122 ^ [], 123 ^ [])), 107 : in(103 ^ [123 ^ [], 122 ^ []], 123 ^ [])],extension(102 ^ 1,bind([[_29327, _29329], [123 ^ [], 122 ^ []]]))).
% 0.34/1.38 ncf('1.1.1',plain,[-(in(103 ^ [123 ^ [], 122 ^ []], 123 ^ [])), in(ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]), 123 ^ []), ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]) = 103 ^ [123 ^ [], 122 ^ []], 123 ^ [] = 123 ^ []],extension(30 ^ 4,bind([[_26897, _26899, _26901, _26903], [123 ^ [], 123 ^ [], 103 ^ [123 ^ [], 122 ^ []], ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]])]]))).
% 0.34/1.38 ncf('1.1.1.1',plain,[-(in(ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]), 123 ^ [])), in(ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]), 122 ^ [])],extension(133 ^ 5,bind([[_30700, _30702], [129 ^ [103 ^ [123 ^ [], 122 ^ []]], 128 ^ [103 ^ [123 ^ [], 122 ^ []]]]]))).
% 0.34/1.38 ncf('1.1.1.1.1',plain,[-(in(ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]), 122 ^ [])), in(103 ^ [123 ^ [], 122 ^ []], 122 ^ []), 103 ^ [123 ^ [], 122 ^ []] = ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]), 122 ^ [] = 122 ^ []],extension(30 ^ 6,bind([[_26897, _26899, _26901, _26903], [122 ^ [], 122 ^ [], ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]), 103 ^ [123 ^ [], 122 ^ []]]]))).
% 0.34/1.38 ncf('1.1.1.1.1.1',plain,[-(in(103 ^ [123 ^ [], 122 ^ []], 122 ^ []))],extension(105 ^ 7)).
% 0.34/1.38 ncf('1.1.1.1.1.2',plain,[-(103 ^ [123 ^ [], 122 ^ []] = ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]])), in(103 ^ [123 ^ [], 122 ^ []], 122 ^ [])],extension(125 ^ 7,bind([[_30386], [103 ^ [123 ^ [], 122 ^ []]]]))).
% 0.34/1.38 ncf('1.1.1.1.1.2.1',plain,[-(in(103 ^ [123 ^ [], 122 ^ []], 122 ^ []))],lemmata('[1, 1, 1, 1].x')).
% 0.34/1.38 ncf('1.1.1.1.1.3',plain,[-(122 ^ [] = 122 ^ [])],extension(2 ^ 7,bind([[_25950], [122 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.2',plain,[-(ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]) = 103 ^ [123 ^ [], 122 ^ []]), 103 ^ [123 ^ [], 122 ^ []] = ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]])],extension(4 ^ 5,bind([[_26057, _26059], [ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]]), 103 ^ [123 ^ [], 122 ^ []]]]))).
% 0.34/1.38 ncf('1.1.1.2.1',plain,[-(103 ^ [123 ^ [], 122 ^ []] = ordered_pair(128 ^ [103 ^ [123 ^ [], 122 ^ []]], 129 ^ [103 ^ [123 ^ [], 122 ^ []]])), in(103 ^ [123 ^ [], 122 ^ []], 122 ^ [])],extension(125 ^ 6,bind([[_30386], [103 ^ [123 ^ [], 122 ^ []]]]))).
% 0.34/1.38 ncf('1.1.1.2.1.1',plain,[-(in(103 ^ [123 ^ [], 122 ^ []], 122 ^ []))],extension(105 ^ 7)).
% 0.34/1.38 ncf('1.1.1.3',plain,[-(123 ^ [] = 123 ^ [])],extension(2 ^ 5,bind([[_25950], [123 ^ []]]))).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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