TSTP Solution File: SEU147+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU147+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 12:02:22 EDT 2023
% Result : Theorem 0.46s 1.37s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU147+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 13:20:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.46/1.37
% 0.46/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.46/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/1.37 %-----------------------------------------------------
% 0.46/1.37 ncf(matrix, plain, [(187 ^ _24639) ^ [] : [powerset(empty_set) = singleton(empty_set)], (58 ^ _24639) ^ [_26580, _26582] : [_26582 = _26580, -(powerset(_26582) = powerset(_26580))], (64 ^ _24639) ^ [_26778, _26780] : [_26780 = _26778, -(singleton(_26780) = singleton(_26778))], (2 ^ _24639) ^ [_24783] : [-(_24783 = _24783)], (4 ^ _24639) ^ [_24890, _24892] : [_24892 = _24890, -(_24890 = _24892)], (10 ^ _24639) ^ [_25094, _25096, _25098] : [-(_25098 = _25094), _25098 = _25096, _25096 = _25094], (20 ^ _24639) ^ [_25407, _25409] : [-(empty(_25407)), _25409 = _25407, empty(_25409)], (30 ^ _24639) ^ [_25730, _25732, _25734, _25736] : [-(in(_25734, _25730)), in(_25736, _25732), _25736 = _25734, _25732 = _25730], (44 ^ _24639) ^ [_26154, _26156, _26158, _26160] : [-(subset(_26158, _26154)), subset(_26160, _26156), _26160 = _26158, _26156 = _26154], (70 ^ _24639) ^ [_27002, _27004] : [in(_27004, _27002), in(_27002, _27004)], (92 ^ _24639) ^ [_27763, _27765] : [-(_27763 = singleton(_27765)), 96 ^ _24639 : [(97 ^ _24639) ^ [] : [-(in(93 ^ [_27763, _27765], _27763))], (99 ^ _24639) ^ [] : [93 ^ [_27763, _27765] = _27765]], 100 ^ _24639 : [(101 ^ _24639) ^ [] : [-(93 ^ [_27763, _27765] = _27765)], (103 ^ _24639) ^ [] : [in(93 ^ [_27763, _27765], _27763)]]], (76 ^ _24639) ^ [_27242, _27244] : [_27242 = singleton(_27244), 79 ^ _24639 : [(80 ^ _24639) ^ [_27412] : [in(_27412, _27242), -(_27412 = _27244)], (86 ^ _24639) ^ [_27584] : [_27584 = _27244, -(in(_27584, _27242))]]], (123 ^ _24639) ^ [_28849, _28851] : [-(_28849 = powerset(_28851)), 127 ^ _24639 : [(128 ^ _24639) ^ [] : [-(in(124 ^ [_28849, _28851], _28849))], (130 ^ _24639) ^ [] : [subset(124 ^ [_28849, _28851], _28851)]], 131 ^ _24639 : [(132 ^ _24639) ^ [] : [-(subset(124 ^ [_28849, _28851], _28851))], (134 ^ _24639) ^ [] : [in(124 ^ [_28849, _28851], _28849)]]], (107 ^ _24639) ^ [_28328, _28330] : [_28328 = powerset(_28330), 110 ^ _24639 : [(111 ^ _24639) ^ [_28498] : [in(_28498, _28328), -(subset(_28498, _28330))], (117 ^ _24639) ^ [_28670] : [subset(_28670, _28330), -(in(_28670, _28328))]]], (138 ^ _24639) ^ [] : [true___, -(true___)], (144 ^ _24639) ^ [] : [true___, -(true___)], (150 ^ _24639) ^ [] : [true___, -(true___)], (156 ^ _24639) ^ [] : [-(empty(empty_set))], (159 ^ _24639) ^ [] : [-(empty(157 ^ []))], (162 ^ _24639) ^ [] : [empty(160 ^ [])], (164 ^ _24639) ^ [_29959, _29961] : [-(subset(_29961, _29961))], (181 ^ _24639) ^ [_30564] : [subset(_30564, empty_set), -(_30564 = empty_set)], (166 ^ _24639) ^ [_30068, _30070] : [-(_30070 = _30068), 170 ^ _24639 : [(171 ^ _24639) ^ [] : [-(in(167 ^ [_30068, _30070], _30070))], (173 ^ _24639) ^ [] : [in(167 ^ [_30068, _30070], _30068)]], 174 ^ _24639 : [(175 ^ _24639) ^ [] : [-(in(167 ^ [_30068, _30070], _30068))], (177 ^ _24639) ^ [] : [in(167 ^ [_30068, _30070], _30070)]]]], input).
% 0.46/1.37 ncf('1',plain,[powerset(empty_set) = singleton(empty_set)],start(187 ^ 0)).
% 0.46/1.37 ncf('1.1',plain,[-(powerset(empty_set) = singleton(empty_set)), 97 : -(in(93 ^ [powerset(empty_set), empty_set], powerset(empty_set))), 101 : -(93 ^ [powerset(empty_set), empty_set] = empty_set)],extension(92 ^ 1,bind([[_27763, _27765], [powerset(empty_set), empty_set]]))).
% 0.46/1.37 ncf('1.1.1',plain,[in(93 ^ [powerset(empty_set), empty_set], powerset(empty_set)), 111 : -(subset(93 ^ [powerset(empty_set), empty_set], empty_set)), 111 : powerset(empty_set) = powerset(empty_set)],extension(107 ^ 4,bind([[_28328, _28330, _28498], [powerset(empty_set), empty_set, 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.46/1.37 ncf('1.1.1.1',plain,[subset(93 ^ [powerset(empty_set), empty_set], empty_set), -(93 ^ [powerset(empty_set), empty_set] = empty_set)],extension(181 ^ 7,bind([[_30564], [93 ^ [powerset(empty_set), empty_set]]]))).
% 0.46/1.37 ncf('1.1.1.1.1',plain,[93 ^ [powerset(empty_set), empty_set] = empty_set, -(93 ^ [powerset(empty_set), empty_set] = empty_set), empty_set = empty_set],extension(10 ^ 8,bind([[_25094, _25096, _25098], [empty_set, empty_set, 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.46/1.37 ncf('1.1.1.1.1.1',plain,[93 ^ [powerset(empty_set), empty_set] = empty_set],extension(99 ^ 9)).
% 0.46/1.37 ncf('1.1.1.1.1.2',plain,[-(empty_set = empty_set)],extension(2 ^ 9,bind([[_24783], [empty_set]]))).
% 0.46/1.37 ncf('1.1.1.2',plain,[-(powerset(empty_set) = powerset(empty_set)), empty_set = empty_set],extension(58 ^ 5,bind([[_26580, _26582], [empty_set, empty_set]]))).
% 0.46/1.37 ncf('1.1.1.2.1',plain,[-(empty_set = empty_set)],extension(2 ^ 6,bind([[_24783], [empty_set]]))).
% 0.46/1.37 ncf('1.1.2',plain,[93 ^ [powerset(empty_set), empty_set] = empty_set, -(powerset(93 ^ [powerset(empty_set), empty_set]) = powerset(empty_set))],extension(58 ^ 4,bind([[_26580, _26582], [empty_set, 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.46/1.37 ncf('1.1.2.1',plain,[powerset(93 ^ [powerset(empty_set), empty_set]) = powerset(empty_set), -(powerset(empty_set) = powerset(93 ^ [powerset(empty_set), empty_set]))],extension(4 ^ 5,bind([[_24890, _24892], [powerset(empty_set), powerset(93 ^ [powerset(empty_set), empty_set])]]))).
% 0.46/1.37 ncf('1.1.2.1.1',plain,[powerset(empty_set) = powerset(93 ^ [powerset(empty_set), empty_set]), 117 : subset(93 ^ [powerset(empty_set), empty_set], 93 ^ [powerset(empty_set), empty_set]), 117 : -(in(93 ^ [powerset(empty_set), empty_set], powerset(empty_set)))],extension(107 ^ 6,bind([[_28328, _28330, _28670], [powerset(empty_set), 93 ^ [powerset(empty_set), empty_set], 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.46/1.37 ncf('1.1.2.1.1.1',plain,[-(subset(93 ^ [powerset(empty_set), empty_set], 93 ^ [powerset(empty_set), empty_set]))],extension(164 ^ 9,bind([[_29959, _29961], [_18817, 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.46/1.37 ncf('1.1.2.1.1.2',plain,[in(93 ^ [powerset(empty_set), empty_set], powerset(empty_set))],extension(103 ^ 9)).
% 0.46/1.37 %-----------------------------------------------------
% 0.46/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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