TSTP Solution File: SET597+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:56:04 EDT 2023
% Result : Theorem 0.55s 1.37s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n017.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 18:33:45 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.55/1.37
% 0.55/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.55/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/1.37 %-----------------------------------------------------
% 0.55/1.37 ncf(matrix, plain, [(163 ^ _34874) ^ [] : [164 ^ _34874 : [(165 ^ _34874) ^ [] : [-(159 ^ [] = union(160 ^ [], 161 ^ []))], (167 ^ _34874) ^ [] : [subset(160 ^ [], 159 ^ []), subset(161 ^ [], 159 ^ []), 175 ^ _34874 : [(176 ^ _34874) ^ [] : [-(subset(160 ^ [], 174 ^ []))], (178 ^ _34874) ^ [] : [-(subset(161 ^ [], 174 ^ []))], (180 ^ _34874) ^ [] : [subset(159 ^ [], 174 ^ [])]]]], 181 ^ _34874 : [(196 ^ _34874) ^ [] : [159 ^ [] = union(160 ^ [], 161 ^ [])], (182 ^ _34874) ^ [] : [-(subset(160 ^ [], 159 ^ []))], (184 ^ _34874) ^ [] : [-(subset(161 ^ [], 159 ^ []))], (186 ^ _34874) ^ [_41180] : [-(subset(159 ^ [], _41180)), subset(160 ^ [], _41180), subset(161 ^ [], _41180)]]], (48 ^ _34874) ^ [_36526, _36528, _36530, _36532] : [-(union(_36532, _36528) = union(_36530, _36526)), _36532 = _36530, _36528 = _36526], (2 ^ _34874) ^ [_35018] : [-(_35018 = _35018)], (4 ^ _34874) ^ [_35125, _35127] : [_35127 = _35125, -(_35125 = _35127)], (10 ^ _34874) ^ [_35329, _35331, _35333] : [-(_35333 = _35329), _35333 = _35331, _35331 = _35329], (20 ^ _34874) ^ [_35670, _35672, _35674, _35676] : [-(member(_35674, _35670)), member(_35676, _35672), _35676 = _35674, _35672 = _35670], (34 ^ _34874) ^ [_36094, _36096, _36098, _36100] : [-(subset(_36098, _36094)), subset(_36100, _36096), _36100 = _36098, _36096 = _36094], (58 ^ _34874) ^ [_36844, _36846] : [-(subset(_36846, union(_36846, _36844)))], (60 ^ _34874) ^ [_36970, _36972, _36974] : [-(subset(union(_36974, _36970), _36972)), subset(_36974, _36972), subset(_36970, _36972)], (80 ^ _34874) ^ [_37596, _37598, _37600] : [81 ^ _34874 : [(82 ^ _34874) ^ [] : [member(_37596, _37600)], (84 ^ _34874) ^ [] : [member(_37596, _37598)]], -(member(_37596, union(_37600, _37598)))], (70 ^ _34874) ^ [_37328, _37330, _37332] : [member(_37328, union(_37332, _37330)), -(member(_37328, _37332)), -(member(_37328, _37330))], (98 ^ _34874) ^ [_38239, _38241] : [100 ^ _34874 : [(101 ^ _34874) ^ [] : [-(member(99 ^ [_38239, _38241], _38241))], (103 ^ _34874) ^ [] : [member(99 ^ [_38239, _38241], _38239)]], -(subset(_38241, _38239))], (88 ^ _34874) ^ [_37925, _37927] : [subset(_37927, _37925), 91 ^ _34874 : [(92 ^ _34874) ^ [_38062] : [member(_38062, _37927), -(member(_38062, _37925))]]], (107 ^ _34874) ^ [_38625, _38627] : [_38627 = _38625, 110 ^ _34874 : [(111 ^ _34874) ^ [] : [-(subset(_38627, _38625))], (113 ^ _34874) ^ [] : [-(subset(_38625, _38627))]]], (115 ^ _34874) ^ [_38862, _38864] : [-(_38864 = _38862), subset(_38864, _38862), subset(_38862, _38864)], (125 ^ _34874) ^ [_39148, _39150] : [-(union(_39150, _39148) = union(_39148, _39150))], (127 ^ _34874) ^ [_39234] : [-(subset(_39234, _39234))], (145 ^ _34874) ^ [_39867, _39869] : [-(_39869 = _39867), 149 ^ _34874 : [(150 ^ _34874) ^ [] : [-(member(146 ^ [_39867, _39869], _39869))], (152 ^ _34874) ^ [] : [member(146 ^ [_39867, _39869], _39867)]], 153 ^ _34874 : [(154 ^ _34874) ^ [] : [-(member(146 ^ [_39867, _39869], _39867))], (156 ^ _34874) ^ [] : [member(146 ^ [_39867, _39869], _39869)]]], (129 ^ _34874) ^ [_39350, _39352] : [_39352 = _39350, 132 ^ _34874 : [(133 ^ _34874) ^ [_39516] : [member(_39516, _39352), -(member(_39516, _39350))], (139 ^ _34874) ^ [_39688] : [member(_39688, _39350), -(member(_39688, _39352))]]]], input).
% 0.55/1.37 ncf('1',plain,[167 : subset(160 ^ [], 159 ^ []), 167 : subset(161 ^ [], 159 ^ []), 180 : subset(159 ^ [], 174 ^ []), 196 : 159 ^ [] = union(160 ^ [], 161 ^ [])],start(163 ^ 0)).
% 0.55/1.37 ncf('1.1',plain,[-(subset(160 ^ [], 159 ^ [])), 101 : -(member(99 ^ [159 ^ [], 160 ^ []], 160 ^ []))],extension(98 ^ 3,bind([[_38239, _38241], [159 ^ [], 160 ^ []]]))).
% 0.55/1.37 ncf('1.1.1',plain,[member(99 ^ [159 ^ [], 160 ^ []], 160 ^ []), -(member(99 ^ [159 ^ [], 160 ^ []], union(160 ^ [], 161 ^ [])))],extension(80 ^ 6,bind([[_37596, _37598, _37600], [99 ^ [159 ^ [], 160 ^ []], 161 ^ [], 160 ^ []]]))).
% 0.55/1.37 ncf('1.1.1.1',plain,[member(99 ^ [159 ^ [], 160 ^ []], union(160 ^ [], 161 ^ [])), -(member(99 ^ [159 ^ [], 160 ^ []], 159 ^ [])), 99 ^ [159 ^ [], 160 ^ []] = 99 ^ [159 ^ [], 160 ^ []], union(160 ^ [], 161 ^ []) = 159 ^ []],extension(20 ^ 7,bind([[_35670, _35672, _35674, _35676], [159 ^ [], union(160 ^ [], 161 ^ []), 99 ^ [159 ^ [], 160 ^ []], 99 ^ [159 ^ [], 160 ^ []]]]))).
% 0.55/1.37 ncf('1.1.1.1.1',plain,[member(99 ^ [159 ^ [], 160 ^ []], 159 ^ []), -(member(99 ^ [159 ^ [], 160 ^ []], 159 ^ [])), 99 ^ [159 ^ [], 160 ^ []] = 99 ^ [159 ^ [], 160 ^ []], 159 ^ [] = 159 ^ []],extension(20 ^ 8,bind([[_35670, _35672, _35674, _35676], [159 ^ [], 159 ^ [], 99 ^ [159 ^ [], 160 ^ []], 99 ^ [159 ^ [], 160 ^ []]]]))).
% 0.55/1.37 ncf('1.1.1.1.1.1',plain,[member(99 ^ [159 ^ [], 160 ^ []], 159 ^ [])],extension(103 ^ 9)).
% 0.55/1.37 ncf('1.1.1.1.1.2',plain,[-(99 ^ [159 ^ [], 160 ^ []] = 99 ^ [159 ^ [], 160 ^ []])],extension(2 ^ 9,bind([[_35018], [99 ^ [159 ^ [], 160 ^ []]]]))).
% 0.55/1.37 ncf('1.1.1.1.1.3',plain,[-(159 ^ [] = 159 ^ [])],extension(2 ^ 9,bind([[_35018], [159 ^ []]]))).
% 0.55/1.37 ncf('1.1.1.1.2',plain,[-(99 ^ [159 ^ [], 160 ^ []] = 99 ^ [159 ^ [], 160 ^ []])],extension(2 ^ 8,bind([[_35018], [99 ^ [159 ^ [], 160 ^ []]]]))).
% 0.55/1.37 ncf('1.1.1.1.3',plain,[-(union(160 ^ [], 161 ^ []) = 159 ^ []), 159 ^ [] = union(160 ^ [], 161 ^ [])],extension(4 ^ 8,bind([[_35125, _35127], [union(160 ^ [], 161 ^ []), 159 ^ []]]))).
% 0.55/1.37 ncf('1.1.1.1.3.1',plain,[-(159 ^ [] = union(160 ^ [], 161 ^ []))],extension(165 ^ 9)).
% 0.55/1.37 ncf('1.2',plain,[-(subset(161 ^ [], 159 ^ [])), 101 : -(member(99 ^ [159 ^ [], 161 ^ []], 161 ^ []))],extension(98 ^ 3,bind([[_38239, _38241], [159 ^ [], 161 ^ []]]))).
% 0.55/1.37 ncf('1.2.1',plain,[member(99 ^ [159 ^ [], 161 ^ []], 161 ^ []), -(member(99 ^ [159 ^ [], 161 ^ []], union(161 ^ [], 160 ^ [])))],extension(80 ^ 6,bind([[_37596, _37598, _37600], [99 ^ [159 ^ [], 161 ^ []], 160 ^ [], 161 ^ []]]))).
% 0.55/1.37 ncf('1.2.1.1',plain,[member(99 ^ [159 ^ [], 161 ^ []], union(161 ^ [], 160 ^ [])), 139 : -(member(99 ^ [159 ^ [], 161 ^ []], 159 ^ [])), 139 : 159 ^ [] = union(161 ^ [], 160 ^ [])],extension(129 ^ 7,bind([[_39350, _39352, _39688], [union(161 ^ [], 160 ^ []), 159 ^ [], 99 ^ [159 ^ [], 161 ^ []]]]))).
% 0.55/1.37 ncf('1.2.1.1.1',plain,[member(99 ^ [159 ^ [], 161 ^ []], 159 ^ []), -(member(99 ^ [159 ^ [], 161 ^ []], 159 ^ [])), 99 ^ [159 ^ [], 161 ^ []] = 99 ^ [159 ^ [], 161 ^ []], 159 ^ [] = 159 ^ []],extension(20 ^ 10,bind([[_35670, _35672, _35674, _35676], [159 ^ [], 159 ^ [], 99 ^ [159 ^ [], 161 ^ []], 99 ^ [159 ^ [], 161 ^ []]]]))).
% 0.55/1.37 ncf('1.2.1.1.1.1',plain,[member(99 ^ [159 ^ [], 161 ^ []], 159 ^ [])],extension(103 ^ 11)).
% 0.55/1.37 ncf('1.2.1.1.1.2',plain,[-(99 ^ [159 ^ [], 161 ^ []] = 99 ^ [159 ^ [], 161 ^ []])],extension(2 ^ 11,bind([[_35018], [99 ^ [159 ^ [], 161 ^ []]]]))).
% 0.55/1.37 ncf('1.2.1.1.1.3',plain,[-(159 ^ [] = 159 ^ [])],extension(2 ^ 11,bind([[_35018], [159 ^ []]]))).
% 0.55/1.37 ncf('1.2.1.1.2',plain,[-(159 ^ [] = union(161 ^ [], 160 ^ [])), 159 ^ [] = union(160 ^ [], 161 ^ []), union(160 ^ [], 161 ^ []) = union(161 ^ [], 160 ^ [])],extension(10 ^ 8,bind([[_35329, _35331, _35333], [union(161 ^ [], 160 ^ []), union(160 ^ [], 161 ^ []), 159 ^ []]]))).
% 0.55/1.37 ncf('1.2.1.1.2.1',plain,[-(159 ^ [] = union(160 ^ [], 161 ^ []))],extension(165 ^ 9)).
% 0.55/1.37 ncf('1.2.1.1.2.2',plain,[-(union(160 ^ [], 161 ^ []) = union(161 ^ [], 160 ^ []))],extension(125 ^ 9,bind([[_39148, _39150], [161 ^ [], 160 ^ []]]))).
% 0.55/1.37 ncf('1.3',plain,[-(subset(159 ^ [], 174 ^ [])), 103 : member(99 ^ [174 ^ [], 159 ^ []], 174 ^ [])],extension(98 ^ 5,bind([[_38239, _38241], [174 ^ [], 159 ^ []]]))).
% 0.55/1.37 ncf('1.3.1',plain,[-(member(99 ^ [174 ^ [], 159 ^ []], 174 ^ [])), member(99 ^ [174 ^ [], 159 ^ []], union(174 ^ [], union(160 ^ [], 161 ^ []))), -(member(99 ^ [174 ^ [], 159 ^ []], union(160 ^ [], 161 ^ [])))],extension(70 ^ 8,bind([[_37328, _37330, _37332], [99 ^ [174 ^ [], 159 ^ []], union(160 ^ [], 161 ^ []), 174 ^ []]]))).
% 0.55/1.37 ncf('1.3.1.1',plain,[-(member(99 ^ [174 ^ [], 159 ^ []], union(174 ^ [], union(160 ^ [], 161 ^ [])))), 84 : member(99 ^ [174 ^ [], 159 ^ []], union(160 ^ [], 161 ^ []))],extension(80 ^ 9,bind([[_37596, _37598, _37600], [99 ^ [174 ^ [], 159 ^ []], union(160 ^ [], 161 ^ []), 174 ^ []]]))).
% 0.55/1.37 ncf('1.3.1.1.1',plain,[-(member(99 ^ [174 ^ [], 159 ^ []], union(160 ^ [], 161 ^ []))), member(99 ^ [174 ^ [], 159 ^ []], 159 ^ []), 99 ^ [174 ^ [], 159 ^ []] = 99 ^ [174 ^ [], 159 ^ []], 159 ^ [] = union(160 ^ [], 161 ^ [])],extension(20 ^ 12,bind([[_35670, _35672, _35674, _35676], [union(160 ^ [], 161 ^ []), 159 ^ [], 99 ^ [174 ^ [], 159 ^ []], 99 ^ [174 ^ [], 159 ^ []]]]))).
% 0.55/1.37 ncf('1.3.1.1.1.1',plain,[-(member(99 ^ [174 ^ [], 159 ^ []], 159 ^ []))],extension(101 ^ 13)).
% 0.55/1.37 ncf('1.3.1.1.1.2',plain,[-(99 ^ [174 ^ [], 159 ^ []] = 99 ^ [174 ^ [], 159 ^ []])],extension(2 ^ 13,bind([[_35018], [99 ^ [174 ^ [], 159 ^ []]]]))).
% 0.55/1.37 ncf('1.3.1.1.1.3',plain,[-(159 ^ [] = union(160 ^ [], 161 ^ []))],extension(165 ^ 13)).
% 0.55/1.37 ncf('1.3.1.2',plain,[member(99 ^ [174 ^ [], 159 ^ []], union(160 ^ [], 161 ^ [])), -(member(99 ^ [174 ^ [], 159 ^ []], 160 ^ [])), -(member(99 ^ [174 ^ [], 159 ^ []], 161 ^ []))],extension(70 ^ 9,bind([[_37328, _37330, _37332], [99 ^ [174 ^ [], 159 ^ []], 161 ^ [], 160 ^ []]]))).
% 0.55/1.37 ncf('1.3.1.2.1',plain,[member(99 ^ [174 ^ [], 159 ^ []], 160 ^ []), 92 : -(member(99 ^ [174 ^ [], 159 ^ []], 174 ^ [])), 92 : subset(160 ^ [], 174 ^ [])],extension(88 ^ 10,bind([[_37925, _37927, _38062], [174 ^ [], 160 ^ [], 99 ^ [174 ^ [], 159 ^ []]]]))).
% 0.55/1.37 ncf('1.3.1.2.1.1',plain,[member(99 ^ [174 ^ [], 159 ^ []], 174 ^ [])],reduction('1.3')).
% 0.55/1.37 ncf('1.3.1.2.1.2',plain,[-(subset(160 ^ [], 174 ^ []))],extension(176 ^ 11)).
% 0.55/1.37 ncf('1.3.1.2.2',plain,[member(99 ^ [174 ^ [], 159 ^ []], 161 ^ []), 92 : -(member(99 ^ [174 ^ [], 159 ^ []], 174 ^ [])), 92 : subset(161 ^ [], 174 ^ [])],extension(88 ^ 10,bind([[_37925, _37927, _38062], [174 ^ [], 161 ^ [], 99 ^ [174 ^ [], 159 ^ []]]]))).
% 0.55/1.37 ncf('1.3.1.2.2.1',plain,[member(99 ^ [174 ^ [], 159 ^ []], 174 ^ [])],reduction('1.3')).
% 0.55/1.37 ncf('1.3.1.2.2.2',plain,[-(subset(161 ^ [], 174 ^ []))],extension(178 ^ 11)).
% 0.55/1.37 ncf('1.4',plain,[-(159 ^ [] = union(160 ^ [], 161 ^ [])), subset(159 ^ [], union(160 ^ [], 161 ^ [])), subset(union(160 ^ [], 161 ^ []), 159 ^ [])],extension(115 ^ 3,bind([[_38862, _38864], [union(160 ^ [], 161 ^ []), 159 ^ []]]))).
% 0.55/1.37 ncf('1.4.1',plain,[-(subset(159 ^ [], union(160 ^ [], 161 ^ []))), subset(160 ^ [], union(160 ^ [], 161 ^ [])), subset(161 ^ [], union(160 ^ [], 161 ^ []))],extension(186 ^ 4,bind([[_41180], [union(160 ^ [], 161 ^ [])]]))).
% 0.55/1.37 ncf('1.4.1.1',plain,[-(subset(160 ^ [], union(160 ^ [], 161 ^ [])))],extension(58 ^ 5,bind([[_36844, _36846], [161 ^ [], 160 ^ []]]))).
% 0.55/1.37 ncf('1.4.1.2',plain,[-(subset(161 ^ [], union(160 ^ [], 161 ^ []))), 101 : -(member(99 ^ [union(160 ^ [], 161 ^ []), 161 ^ []], 161 ^ []))],extension(98 ^ 5,bind([[_38239, _38241], [union(160 ^ [], 161 ^ []), 161 ^ []]]))).
% 0.55/1.37 ncf('1.4.1.2.1',plain,[member(99 ^ [union(160 ^ [], 161 ^ []), 161 ^ []], 161 ^ []), -(member(99 ^ [union(160 ^ [], 161 ^ []), 161 ^ []], union(160 ^ [], 161 ^ [])))],extension(80 ^ 8,bind([[_37596, _37598, _37600], [99 ^ [union(160 ^ [], 161 ^ []), 161 ^ []], 161 ^ [], 160 ^ []]]))).
% 0.55/1.37 ncf('1.4.1.2.1.1',plain,[member(99 ^ [union(160 ^ [], 161 ^ []), 161 ^ []], union(160 ^ [], 161 ^ []))],extension(103 ^ 9)).
% 0.55/1.37 ncf('1.4.2',plain,[-(subset(union(160 ^ [], 161 ^ []), 159 ^ [])), subset(160 ^ [], 159 ^ []), subset(161 ^ [], 159 ^ [])],extension(60 ^ 4,bind([[_36970, _36972, _36974], [161 ^ [], 159 ^ [], 160 ^ []]]))).
% 0.55/1.37 ncf('1.4.2.1',plain,[-(subset(160 ^ [], 159 ^ []))],extension(182 ^ 5)).
% 0.55/1.37 ncf('1.4.2.2',plain,[-(subset(161 ^ [], 159 ^ []))],extension(184 ^ 5)).
% 0.55/1.37 %-----------------------------------------------------
% 0.55/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------