TSTP Solution File: SET598+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET598+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 43.38s 42.70s
% Output : Proof 43.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET598+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n016.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 19:48:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.38/42.70
% 43.38/42.70 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.38/42.70 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.38/42.70 %-----------------------------------------------------
% 43.38/42.70 ncf(matrix, plain, [(163 ^ _43515) ^ [] : [164 ^ _43515 : [(167 ^ _43515) ^ [] : [subset(159 ^ [], 160 ^ []), subset(159 ^ [], 161 ^ []), 175 ^ _43515 : [(180 ^ _43515) ^ [] : [subset(174 ^ [], 159 ^ [])], (178 ^ _43515) ^ [] : [-(subset(174 ^ [], 161 ^ []))], (176 ^ _43515) ^ [] : [-(subset(174 ^ [], 160 ^ []))]]], (165 ^ _43515) ^ [] : [-(159 ^ [] = intersection(160 ^ [], 161 ^ []))]], 181 ^ _43515 : [(182 ^ _43515) ^ [] : [-(subset(159 ^ [], 160 ^ []))], (184 ^ _43515) ^ [] : [-(subset(159 ^ [], 161 ^ []))], (186 ^ _43515) ^ [_44111] : [-(subset(_44111, 159 ^ [])), subset(_44111, 160 ^ []), subset(_44111, 161 ^ [])], (196 ^ _43515) ^ [] : [159 ^ [] = intersection(160 ^ [], 161 ^ [])]]], !, (58 ^ _37825) ^ [_39775, _39777] : [-(subset(intersection(_39777, _39775), _39777))], (48 ^ _37825) ^ [_39457, _39459, _39461, _39463] : [-(intersection(_39463, _39459) = intersection(_39461, _39457)), _39463 = _39461, _39459 = _39457], (127 ^ _37825) ^ [_42165] : [-(subset(_42165, _42165))], (129 ^ _37825) ^ [_42281, _42283] : [_42283 = _42281, 132 ^ _37825 : [(139 ^ _37825) ^ [_42619] : [member(_42619, _42281), -(member(_42619, _42283))], (133 ^ _37825) ^ [_42447] : [member(_42447, _42283), -(member(_42447, _42281))]]], (115 ^ _37825) ^ [_41793, _41795] : [-(_41795 = _41793), subset(_41795, _41793), subset(_41793, _41795)], (4 ^ _37825) ^ [_38056, _38058] : [_38058 = _38056, -(_38056 = _38058)], (10 ^ _37825) ^ [_38260, _38262, _38264] : [-(_38264 = _38260), _38264 = _38262, _38262 = _38260], (2 ^ _37825) ^ [_37949] : [-(_37949 = _37949)], (125 ^ _37825) ^ [_42079, _42081] : [-(intersection(_42081, _42079) = intersection(_42079, _42081))], (98 ^ _37825) ^ [_41170, _41172] : [100 ^ _37825 : [(103 ^ _37825) ^ [] : [member(99 ^ [_41170, _41172], _41170)], (101 ^ _37825) ^ [] : [-(member(99 ^ [_41170, _41172], _41172))]], -(subset(_41172, _41170))], (88 ^ _37825) ^ [_40856, _40858] : [subset(_40858, _40856), 91 ^ _37825 : [(92 ^ _37825) ^ [_40993] : [member(_40993, _40858), -(member(_40993, _40856))]]], (60 ^ _37825) ^ [_39901, _39903, _39905] : [-(subset(_39905, intersection(_39903, _39901))), subset(_39905, _39903), subset(_39905, _39901)], (20 ^ _37825) ^ [_38601, _38603, _38605, _38607] : [-(member(_38605, _38601)), member(_38607, _38603), _38607 = _38605, _38603 = _38601], (107 ^ _37825) ^ [_41556, _41558] : [_41558 = _41556, 110 ^ _37825 : [(113 ^ _37825) ^ [] : [-(subset(_41556, _41558))], (111 ^ _37825) ^ [] : [-(subset(_41558, _41556))]]], (70 ^ _37825) ^ [_40259, _40261, _40263] : [member(_40259, intersection(_40263, _40261)), 73 ^ _37825 : [(76 ^ _37825) ^ [] : [-(member(_40259, _40261))], (74 ^ _37825) ^ [] : [-(member(_40259, _40263))]]], (145 ^ _37825) ^ [_42798, _42800] : [-(_42800 = _42798), 149 ^ _37825 : [(152 ^ _37825) ^ [] : [member(146 ^ [_42798, _42800], _42798)], (150 ^ _37825) ^ [] : [-(member(146 ^ [_42798, _42800], _42800))]], 153 ^ _37825 : [(156 ^ _37825) ^ [] : [member(146 ^ [_42798, _42800], _42800)], (154 ^ _37825) ^ [] : [-(member(146 ^ [_42798, _42800], _42798))]]], (78 ^ _37825) ^ [_40510, _40512, _40514] : [-(member(_40510, intersection(_40514, _40512))), member(_40510, _40514), member(_40510, _40512)], (34 ^ _37825) ^ [_39025, _39027, _39029, _39031] : [-(subset(_39029, _39025)), subset(_39031, _39027), _39031 = _39029, _39027 = _39025]], input).
% 43.38/42.70 ncf('1',plain,[167 : subset(159 ^ [], 160 ^ []), 167 : subset(159 ^ [], 161 ^ []), 180 : subset(174 ^ [], 159 ^ []), 186 : -(subset(intersection(160 ^ [], 161 ^ []), 159 ^ [])), 186 : subset(intersection(160 ^ [], 161 ^ []), 160 ^ []), 186 : subset(intersection(160 ^ [], 161 ^ []), 161 ^ [])],start(163 ^ 0,bind([[_44111], [intersection(160 ^ [], 161 ^ [])]]))).
% 43.38/42.70 ncf('1.1',plain,[-(subset(159 ^ [], 160 ^ [])), 103 : member(99 ^ [160 ^ [], 159 ^ []], 160 ^ [])],extension(98 ^ 3,bind([[_41170, _41172], [160 ^ [], 159 ^ []]]))).
% 43.38/42.70 ncf('1.1.1',plain,[-(member(99 ^ [160 ^ [], 159 ^ []], 160 ^ [])), 92 : member(99 ^ [160 ^ [], 159 ^ []], intersection(160 ^ [], 161 ^ [])), 92 : subset(intersection(160 ^ [], 161 ^ []), 160 ^ [])],extension(88 ^ 6,bind([[_40856, _40858, _40993], [160 ^ [], intersection(160 ^ [], 161 ^ []), 99 ^ [160 ^ [], 159 ^ []]]]))).
% 43.38/42.70 ncf('1.1.1.1',plain,[-(member(99 ^ [160 ^ [], 159 ^ []], intersection(160 ^ [], 161 ^ []))), 139 : member(99 ^ [160 ^ [], 159 ^ []], 159 ^ []), 139 : intersection(160 ^ [], 161 ^ []) = 159 ^ []],extension(129 ^ 9,bind([[_42281, _42283, _42619], [159 ^ [], intersection(160 ^ [], 161 ^ []), 99 ^ [160 ^ [], 159 ^ []]]]))).
% 43.38/42.70 ncf('1.1.1.1.1',plain,[-(member(99 ^ [160 ^ [], 159 ^ []], 159 ^ []))],extension(101 ^ 12)).
% 43.38/42.70 ncf('1.1.1.1.2',plain,[-(intersection(160 ^ [], 161 ^ []) = 159 ^ []), 159 ^ [] = intersection(160 ^ [], 161 ^ [])],extension(4 ^ 10,bind([[_38056, _38058], [intersection(160 ^ [], 161 ^ []), 159 ^ []]]))).
% 43.38/42.70 ncf('1.1.1.1.2.1',plain,[-(159 ^ [] = intersection(160 ^ [], 161 ^ []))],extension(165 ^ 11)).
% 43.38/42.70 ncf('1.1.1.2',plain,[-(subset(intersection(160 ^ [], 161 ^ []), 160 ^ []))],extension(58 ^ 7,bind([[_39775, _39777], [161 ^ [], 160 ^ []]]))).
% 43.38/42.70 ncf('1.2',plain,[-(subset(159 ^ [], 161 ^ [])), 103 : member(99 ^ [161 ^ [], 159 ^ []], 161 ^ [])],extension(98 ^ 3,bind([[_41170, _41172], [161 ^ [], 159 ^ []]]))).
% 43.38/42.70 ncf('1.2.1',plain,[-(member(99 ^ [161 ^ [], 159 ^ []], 161 ^ [])), member(99 ^ [161 ^ [], 159 ^ []], intersection(160 ^ [], 161 ^ []))],extension(70 ^ 6,bind([[_40259, _40261, _40263], [99 ^ [161 ^ [], 159 ^ []], 161 ^ [], 160 ^ []]]))).
% 43.38/42.70 ncf('1.2.1.1',plain,[-(member(99 ^ [161 ^ [], 159 ^ []], intersection(160 ^ [], 161 ^ []))), 139 : member(99 ^ [161 ^ [], 159 ^ []], 159 ^ []), 139 : intersection(160 ^ [], 161 ^ []) = 159 ^ []],extension(129 ^ 7,bind([[_42281, _42283, _42619], [159 ^ [], intersection(160 ^ [], 161 ^ []), 99 ^ [161 ^ [], 159 ^ []]]]))).
% 43.38/42.70 ncf('1.2.1.1.1',plain,[-(member(99 ^ [161 ^ [], 159 ^ []], 159 ^ []))],extension(101 ^ 10)).
% 43.38/42.70 ncf('1.2.1.1.2',plain,[-(intersection(160 ^ [], 161 ^ []) = 159 ^ []), 159 ^ [] = intersection(160 ^ [], 161 ^ [])],extension(4 ^ 8,bind([[_38056, _38058], [intersection(160 ^ [], 161 ^ []), 159 ^ []]]))).
% 43.38/42.70 ncf('1.2.1.1.2.1',plain,[-(159 ^ [] = intersection(160 ^ [], 161 ^ []))],extension(165 ^ 9)).
% 43.38/42.70 ncf('1.3',plain,[-(subset(174 ^ [], 159 ^ [])), 101 : -(member(99 ^ [159 ^ [], 174 ^ []], 174 ^ []))],extension(98 ^ 5,bind([[_41170, _41172], [159 ^ [], 174 ^ []]]))).
% 43.38/42.70 ncf('1.3.1',plain,[member(99 ^ [159 ^ [], 174 ^ []], 174 ^ []), 92 : -(member(99 ^ [159 ^ [], 174 ^ []], intersection(160 ^ [], 161 ^ []))), 92 : subset(174 ^ [], intersection(160 ^ [], 161 ^ []))],extension(88 ^ 8,bind([[_40856, _40858, _40993], [intersection(160 ^ [], 161 ^ []), 174 ^ [], 99 ^ [159 ^ [], 174 ^ []]]]))).
% 43.38/42.70 ncf('1.3.1.1',plain,[member(99 ^ [159 ^ [], 174 ^ []], intersection(160 ^ [], 161 ^ [])), 139 : -(member(99 ^ [159 ^ [], 174 ^ []], 159 ^ [])), 139 : 159 ^ [] = intersection(160 ^ [], 161 ^ [])],extension(129 ^ 11,bind([[_42281, _42283, _42619], [intersection(160 ^ [], 161 ^ []), 159 ^ [], 99 ^ [159 ^ [], 174 ^ []]]]))).
% 43.38/42.70 ncf('1.3.1.1.1',plain,[member(99 ^ [159 ^ [], 174 ^ []], 159 ^ [])],extension(103 ^ 14)).
% 43.38/42.70 ncf('1.3.1.1.2',plain,[-(159 ^ [] = intersection(160 ^ [], 161 ^ []))],extension(165 ^ 12)).
% 43.38/42.70 ncf('1.3.1.2',plain,[-(subset(174 ^ [], intersection(160 ^ [], 161 ^ []))), subset(174 ^ [], 160 ^ []), subset(174 ^ [], 161 ^ [])],extension(60 ^ 9,bind([[_39901, _39903, _39905], [161 ^ [], 160 ^ [], 174 ^ []]]))).
% 43.38/42.70 ncf('1.3.1.2.1',plain,[-(subset(174 ^ [], 160 ^ []))],extension(176 ^ 10)).
% 43.38/42.70 ncf('1.3.1.2.2',plain,[-(subset(174 ^ [], 161 ^ []))],extension(178 ^ 10)).
% 43.38/42.70 ncf('1.4',plain,[subset(intersection(160 ^ [], 161 ^ []), 159 ^ []), -(intersection(160 ^ [], 161 ^ []) = 159 ^ []), subset(159 ^ [], intersection(160 ^ [], 161 ^ []))],extension(115 ^ 3,bind([[_41793, _41795], [159 ^ [], intersection(160 ^ [], 161 ^ [])]]))).
% 43.38/42.70 ncf('1.4.1',plain,[intersection(160 ^ [], 161 ^ []) = 159 ^ [], 139 : member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], 159 ^ []), 139 : -(member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], intersection(160 ^ [], 161 ^ [])))],extension(129 ^ 4,bind([[_42281, _42283, _42619], [159 ^ [], intersection(160 ^ [], 161 ^ []), 146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []]]]))).
% 43.38/42.70 ncf('1.4.1.1',plain,[-(member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], 159 ^ [])), 139 : member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], intersection(160 ^ [], 161 ^ [])), 139 : 159 ^ [] = intersection(160 ^ [], 161 ^ [])],extension(129 ^ 7,bind([[_42281, _42283, _42619], [intersection(160 ^ [], 161 ^ []), 159 ^ [], 146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []]]]))).
% 43.38/42.70 ncf('1.4.1.1.1',plain,[-(member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], intersection(160 ^ [], 161 ^ []))), -(159 ^ [] = intersection(160 ^ [], 161 ^ [])), 150 : -(member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], 159 ^ []))],extension(145 ^ 10,bind([[_42798, _42800], [intersection(160 ^ [], 161 ^ []), 159 ^ []]]))).
% 43.38/42.70 ncf('1.4.1.1.1.1',plain,[159 ^ [] = intersection(160 ^ [], 161 ^ [])],extension(196 ^ 11)).
% 43.38/42.70 ncf('1.4.1.1.1.2',plain,[member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], 159 ^ [])],reduction('1.4.1')).
% 43.38/42.70 ncf('1.4.1.1.2',plain,[-(159 ^ [] = intersection(160 ^ [], 161 ^ [])), intersection(160 ^ [], 161 ^ []) = 159 ^ []],extension(4 ^ 8,bind([[_38056, _38058], [159 ^ [], intersection(160 ^ [], 161 ^ [])]]))).
% 43.38/42.70 ncf('1.4.1.1.2.1',plain,[-(intersection(160 ^ [], 161 ^ []) = 159 ^ [])],reduction('1.4')).
% 43.38/42.70 ncf('1.4.1.2',plain,[member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], intersection(160 ^ [], 161 ^ [])), 139 : -(member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], intersection(160 ^ [], 161 ^ []))), 139 : intersection(160 ^ [], 161 ^ []) = intersection(160 ^ [], 161 ^ [])],extension(129 ^ 7,bind([[_42281, _42283, _42619], [intersection(160 ^ [], 161 ^ []), intersection(160 ^ [], 161 ^ []), 146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []]]]))).
% 43.38/42.70 ncf('1.4.1.2.1',plain,[member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], intersection(160 ^ [], 161 ^ [])), -(159 ^ [] = intersection(160 ^ [], 161 ^ [])), 156 : member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], 159 ^ [])],extension(145 ^ 10,bind([[_42798, _42800], [intersection(160 ^ [], 161 ^ []), 159 ^ []]]))).
% 43.38/42.70 ncf('1.4.1.2.1.1',plain,[159 ^ [] = intersection(160 ^ [], 161 ^ [])],extension(196 ^ 11)).
% 43.38/42.70 ncf('1.4.1.2.1.2',plain,[-(member(146 ^ [intersection(160 ^ [], 161 ^ []), 159 ^ []], 159 ^ []))],lemmata('[4, 1].x')).
% 43.38/42.70 ncf('1.4.1.2.2',plain,[-(intersection(160 ^ [], 161 ^ []) = intersection(160 ^ [], 161 ^ []))],extension(2 ^ 8,bind([[_37949], [intersection(160 ^ [], 161 ^ [])]]))).
% 43.38/42.70 ncf('1.4.2',plain,[-(subset(159 ^ [], intersection(160 ^ [], 161 ^ []))), subset(159 ^ [], 160 ^ []), subset(159 ^ [], 161 ^ [])],extension(60 ^ 4,bind([[_39901, _39903, _39905], [161 ^ [], 160 ^ [], 159 ^ []]]))).
% 43.38/42.70 ncf('1.4.2.1',plain,[-(subset(159 ^ [], 160 ^ []))],extension(182 ^ 5)).
% 43.38/42.70 ncf('1.4.2.2',plain,[-(subset(159 ^ [], 161 ^ []))],extension(184 ^ 5)).
% 43.38/42.70 ncf('1.5',plain,[-(subset(intersection(160 ^ [], 161 ^ []), 160 ^ []))],extension(58 ^ 3,bind([[_39775, _39777], [161 ^ [], 160 ^ []]]))).
% 43.38/42.70 ncf('1.6',plain,[-(subset(intersection(160 ^ [], 161 ^ []), 161 ^ [])), 103 : member(99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])], 161 ^ [])],extension(98 ^ 3,bind([[_41170, _41172], [161 ^ [], intersection(160 ^ [], 161 ^ [])]]))).
% 43.38/42.70 ncf('1.6.1',plain,[-(member(99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])], 161 ^ [])), member(99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])], intersection(160 ^ [], 161 ^ []))],extension(70 ^ 6,bind([[_40259, _40261, _40263], [99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])], 161 ^ [], 160 ^ []]]))).
% 43.38/42.70 ncf('1.6.1.1',plain,[-(member(99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])], intersection(160 ^ [], 161 ^ []))), 139 : member(99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])], intersection(160 ^ [], 161 ^ [])), 139 : intersection(160 ^ [], 161 ^ []) = intersection(160 ^ [], 161 ^ [])],extension(129 ^ 7,bind([[_42281, _42283, _42619], [intersection(160 ^ [], 161 ^ []), intersection(160 ^ [], 161 ^ []), 99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])]]]))).
% 43.38/42.70 ncf('1.6.1.1.1',plain,[-(member(99 ^ [161 ^ [], intersection(160 ^ [], 161 ^ [])], intersection(160 ^ [], 161 ^ [])))],extension(101 ^ 10)).
% 43.38/42.70 ncf('1.6.1.1.2',plain,[-(intersection(160 ^ [], 161 ^ []) = intersection(160 ^ [], 161 ^ []))],extension(2 ^ 8,bind([[_37949], [intersection(160 ^ [], 161 ^ [])]]))).
% 43.38/42.70 %-----------------------------------------------------
% 43.38/42.70 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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