TSTP Solution File: SEU147+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU147+3 : 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 12:02:22 EDT 2023
% Result : Theorem 0.45s 1.37s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU147+3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 18 12:56:34 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.45/1.37
% 0.45/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.45/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.37 %-----------------------------------------------------
% 0.45/1.37 ncf(matrix, plain, [(169 ^ _23741) ^ [] : [powerset(empty_set) = singleton(empty_set)], (58 ^ _23741) ^ [_25682, _25684] : [_25684 = _25682, -(powerset(_25684) = powerset(_25682))], (64 ^ _23741) ^ [_25880, _25882] : [_25882 = _25880, -(singleton(_25882) = singleton(_25880))], (2 ^ _23741) ^ [_23885] : [-(_23885 = _23885)], (4 ^ _23741) ^ [_23992, _23994] : [_23994 = _23992, -(_23992 = _23994)], (10 ^ _23741) ^ [_24196, _24198, _24200] : [-(_24200 = _24196), _24200 = _24198, _24198 = _24196], (20 ^ _23741) ^ [_24509, _24511] : [-(empty(_24509)), _24511 = _24509, empty(_24511)], (30 ^ _23741) ^ [_24832, _24834, _24836, _24838] : [-(in(_24836, _24832)), in(_24838, _24834), _24838 = _24836, _24834 = _24832], (44 ^ _23741) ^ [_25256, _25258, _25260, _25262] : [-(subset(_25260, _25256)), subset(_25262, _25258), _25262 = _25260, _25258 = _25256], (70 ^ _23741) ^ [_26104, _26106] : [in(_26106, _26104), in(_26104, _26106)], (92 ^ _23741) ^ [_26865, _26867] : [-(_26865 = singleton(_26867)), 96 ^ _23741 : [(97 ^ _23741) ^ [] : [-(in(93 ^ [_26865, _26867], _26865))], (99 ^ _23741) ^ [] : [93 ^ [_26865, _26867] = _26867]], 100 ^ _23741 : [(101 ^ _23741) ^ [] : [-(93 ^ [_26865, _26867] = _26867)], (103 ^ _23741) ^ [] : [in(93 ^ [_26865, _26867], _26865)]]], (76 ^ _23741) ^ [_26344, _26346] : [_26344 = singleton(_26346), 79 ^ _23741 : [(80 ^ _23741) ^ [_26514] : [in(_26514, _26344), -(_26514 = _26346)], (86 ^ _23741) ^ [_26686] : [_26686 = _26346, -(in(_26686, _26344))]]], (138 ^ _23741) ^ [] : [-(empty(empty_set))], (141 ^ _23741) ^ [] : [-(empty(139 ^ []))], (144 ^ _23741) ^ [] : [empty(142 ^ [])], (146 ^ _23741) ^ [_28704, _28706] : [-(subset(_28706, _28706))], (163 ^ _23741) ^ [_29309] : [subset(_29309, empty_set), -(_29309 = empty_set)], (148 ^ _23741) ^ [_28813, _28815] : [-(_28815 = _28813), 152 ^ _23741 : [(153 ^ _23741) ^ [] : [-(in(149 ^ [_28813, _28815], _28815))], (155 ^ _23741) ^ [] : [in(149 ^ [_28813, _28815], _28813)]], 156 ^ _23741 : [(157 ^ _23741) ^ [] : [-(in(149 ^ [_28813, _28815], _28813))], (159 ^ _23741) ^ [] : [in(149 ^ [_28813, _28815], _28815)]]], (123 ^ _23741) ^ [_27951, _27953] : [-(_27951 = powerset(_27953)), 127 ^ _23741 : [(128 ^ _23741) ^ [] : [-(in(124 ^ [_27951, _27953], _27951))], (130 ^ _23741) ^ [] : [subset(124 ^ [_27951, _27953], _27953)]], 131 ^ _23741 : [(132 ^ _23741) ^ [] : [-(subset(124 ^ [_27951, _27953], _27953))], (134 ^ _23741) ^ [] : [in(124 ^ [_27951, _27953], _27951)]]], (107 ^ _23741) ^ [_27430, _27432] : [_27430 = powerset(_27432), 110 ^ _23741 : [(111 ^ _23741) ^ [_27600] : [in(_27600, _27430), -(subset(_27600, _27432))], (117 ^ _23741) ^ [_27772] : [subset(_27772, _27432), -(in(_27772, _27430))]]]], input).
% 0.45/1.37 ncf('1',plain,[powerset(empty_set) = singleton(empty_set)],start(169 ^ 0)).
% 0.45/1.37 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([[_26865, _26867], [powerset(empty_set), empty_set]]))).
% 0.45/1.37 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([[_27430, _27432, _27600], [powerset(empty_set), empty_set, 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.45/1.37 ncf('1.1.1.1',plain,[subset(93 ^ [powerset(empty_set), empty_set], empty_set), -(subset(93 ^ [powerset(empty_set), empty_set], empty_set)), 93 ^ [powerset(empty_set), empty_set] = 93 ^ [powerset(empty_set), empty_set], empty_set = empty_set],extension(44 ^ 7,bind([[_25256, _25258, _25260, _25262], [empty_set, empty_set, 93 ^ [powerset(empty_set), empty_set], 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.45/1.37 ncf('1.1.1.1.1',plain,[subset(93 ^ [powerset(empty_set), empty_set], empty_set), -(93 ^ [powerset(empty_set), empty_set] = empty_set)],extension(163 ^ 8,bind([[_29309], [93 ^ [powerset(empty_set), empty_set]]]))).
% 0.45/1.37 ncf('1.1.1.1.1.1',plain,[93 ^ [powerset(empty_set), empty_set] = empty_set],extension(99 ^ 9)).
% 0.45/1.37 ncf('1.1.1.1.2',plain,[-(93 ^ [powerset(empty_set), empty_set] = 93 ^ [powerset(empty_set), empty_set])],extension(2 ^ 8,bind([[_23885], [93 ^ [powerset(empty_set), empty_set]]]))).
% 0.45/1.37 ncf('1.1.1.1.3',plain,[-(empty_set = empty_set)],extension(2 ^ 8,bind([[_23885], [empty_set]]))).
% 0.45/1.37 ncf('1.1.1.2',plain,[-(powerset(empty_set) = powerset(empty_set)), empty_set = empty_set],extension(58 ^ 5,bind([[_25682, _25684], [empty_set, empty_set]]))).
% 0.45/1.37 ncf('1.1.1.2.1',plain,[-(empty_set = empty_set)],extension(2 ^ 6,bind([[_23885], [empty_set]]))).
% 0.45/1.37 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([[_25682, _25684], [empty_set, 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.45/1.37 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([[_23992, _23994], [powerset(empty_set), powerset(93 ^ [powerset(empty_set), empty_set])]]))).
% 0.45/1.37 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([[_27430, _27432, _27772], [powerset(empty_set), 93 ^ [powerset(empty_set), empty_set], 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.45/1.37 ncf('1.1.2.1.1.1',plain,[-(subset(93 ^ [powerset(empty_set), empty_set], 93 ^ [powerset(empty_set), empty_set]))],extension(146 ^ 9,bind([[_28704, _28706], [_18161, 93 ^ [powerset(empty_set), empty_set]]]))).
% 0.45/1.37 ncf('1.1.2.1.1.2',plain,[in(93 ^ [powerset(empty_set), empty_set], powerset(empty_set))],extension(103 ^ 9)).
% 0.45/1.37 %-----------------------------------------------------
% 0.45/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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