TSTP Solution File: SEU164+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU164+3 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 12:02:28 EDT 2023
% Result : Theorem 0.64s 1.38s
% Output : Proof 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU164+3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n028.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 12:58:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.64/1.38
% 0.64/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.64/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/1.38 %-----------------------------------------------------
% 0.64/1.38 ncf(matrix, plain, [(244 ^ _31095) ^ [] : [union(powerset(242 ^ [])) = 242 ^ []], (58 ^ _31095) ^ [_33036, _33038] : [_33038 = _33036, -(singleton(_33038) = singleton(_33036))], (64 ^ _31095) ^ [_33254, _33256] : [_33256 = _33254, -(union(_33256) = union(_33254))], (70 ^ _31095) ^ [_33452, _33454] : [_33454 = _33452, -(powerset(_33454) = powerset(_33452))], (2 ^ _31095) ^ [_31239] : [-(_31239 = _31239)], (4 ^ _31095) ^ [_31346, _31348] : [_31348 = _31346, -(_31346 = _31348)], (10 ^ _31095) ^ [_31550, _31552, _31554] : [-(_31554 = _31550), _31554 = _31552, _31552 = _31550], (20 ^ _31095) ^ [_31863, _31865] : [-(empty(_31863)), _31865 = _31863, empty(_31865)], (30 ^ _31095) ^ [_32186, _32188, _32190, _32192] : [-(subset(_32190, _32186)), subset(_32192, _32188), _32192 = _32190, _32188 = _32186], (44 ^ _31095) ^ [_32610, _32612, _32614, _32616] : [-(in(_32614, _32610)), in(_32616, _32612), _32616 = _32614, _32612 = _32610], (76 ^ _31095) ^ [_33680, _33682] : [in(_33682, _33680), in(_33680, _33682)], (98 ^ _31095) ^ [_34441, _34443] : [-(_34441 = singleton(_34443)), 102 ^ _31095 : [(103 ^ _31095) ^ [] : [-(in(99 ^ [_34441, _34443], _34441))], (105 ^ _31095) ^ [] : [99 ^ [_34441, _34443] = _34443]], 106 ^ _31095 : [(107 ^ _31095) ^ [] : [-(99 ^ [_34441, _34443] = _34443)], (109 ^ _31095) ^ [] : [in(99 ^ [_34441, _34443], _34441)]]], (82 ^ _31095) ^ [_33920, _33922] : [_33920 = singleton(_33922), 85 ^ _31095 : [(86 ^ _31095) ^ [_34090] : [in(_34090, _33920), -(_34090 = _33922)], (92 ^ _31095) ^ [_34262] : [_34262 = _33922, -(in(_34262, _33920))]]], (129 ^ _31095) ^ [_35527, _35529] : [-(_35527 = powerset(_35529)), 133 ^ _31095 : [(134 ^ _31095) ^ [] : [-(in(130 ^ [_35527, _35529], _35527))], (136 ^ _31095) ^ [] : [subset(130 ^ [_35527, _35529], _35529)]], 137 ^ _31095 : [(138 ^ _31095) ^ [] : [-(subset(130 ^ [_35527, _35529], _35529))], (140 ^ _31095) ^ [] : [in(130 ^ [_35527, _35529], _35527)]]], (113 ^ _31095) ^ [_35006, _35008] : [_35006 = powerset(_35008), 116 ^ _31095 : [(117 ^ _31095) ^ [_35176] : [in(_35176, _35006), -(subset(_35176, _35008))], (123 ^ _31095) ^ [_35348] : [subset(_35348, _35008), -(in(_35348, _35006))]]], (154 ^ _31095) ^ [_36406, _36408] : [156 ^ _31095 : [(157 ^ _31095) ^ [] : [-(in(155 ^ [_36406, _36408], _36408))], (159 ^ _31095) ^ [] : [in(155 ^ [_36406, _36408], _36406)]], -(subset(_36408, _36406))], (144 ^ _31095) ^ [_36092, _36094] : [subset(_36094, _36092), 147 ^ _31095 : [(148 ^ _31095) ^ [_36229] : [in(_36229, _36094), -(in(_36229, _36092))]]], (221 ^ _31095) ^ [] : [-(empty(219 ^ []))], (224 ^ _31095) ^ [] : [empty(222 ^ [])], (226 ^ _31095) ^ [_39059, _39061] : [-(subset(_39061, _39061))], (228 ^ _31095) ^ [_39148, _39150] : [-(_39150 = _39148), 232 ^ _31095 : [(233 ^ _31095) ^ [] : [-(in(229 ^ [_39148, _39150], _39150))], (235 ^ _31095) ^ [] : [in(229 ^ [_39148, _39150], _39148)]], 236 ^ _31095 : [(237 ^ _31095) ^ [] : [-(in(229 ^ [_39148, _39150], _39148))], (239 ^ _31095) ^ [] : [in(229 ^ [_39148, _39150], _39150)]]], (208 ^ _31095) ^ [_38513, _38515] : [subset(singleton(_38515), _38513), -(in(_38515, _38513))], (214 ^ _31095) ^ [_38679, _38681] : [in(_38681, _38679), -(subset(singleton(_38681), _38679))], (186 ^ _31095) ^ [_37637, _37639] : [-(_37637 = union(_37639)), 199 ^ _31095 : [(200 ^ _31095) ^ [] : [-(in(187 ^ [_37637, _37639], 198 ^ [_37637, _37639]))], (202 ^ _31095) ^ [] : [-(in(198 ^ [_37637, _37639], _37639))], (204 ^ _31095) ^ [] : [in(187 ^ [_37637, _37639], _37637)]], 190 ^ _31095 : [(191 ^ _31095) ^ [] : [-(in(187 ^ [_37637, _37639], _37637))], (193 ^ _31095) ^ [_37920] : [in(187 ^ [_37637, _37639], _37920), in(_37920, _37639)]]], (163 ^ _31095) ^ [_36792, _36794] : [_36792 = union(_36794), 166 ^ _31095 : [(167 ^ _31095) ^ [_36973] : [in(_36973, _36792), 171 ^ _31095 : [(172 ^ _31095) ^ [] : [-(in(_36973, 170 ^ [_36792, _36794, _36973]))], (174 ^ _31095) ^ [] : [-(in(170 ^ [_36792, _36794, _36973], _36794))]]], (176 ^ _31095) ^ [_37300] : [-(in(_37300, _36792)), 177 ^ _31095 : [(178 ^ _31095) ^ [_37398] : [in(_37300, _37398), in(_37398, _36794)]]]]]], input).
% 0.64/1.38 ncf('1',plain,[union(powerset(242 ^ [])) = 242 ^ []],start(244 ^ 0)).
% 0.64/1.38 ncf('1.1',plain,[-(union(powerset(242 ^ [])) = 242 ^ []), 242 ^ [] = union(powerset(242 ^ []))],extension(4 ^ 1,bind([[_31346, _31348], [union(powerset(242 ^ [])), 242 ^ []]]))).
% 0.64/1.38 ncf('1.1.1',plain,[-(242 ^ [] = union(powerset(242 ^ []))), 204 : in(187 ^ [242 ^ [], powerset(242 ^ [])], 242 ^ []), 191 : -(in(187 ^ [242 ^ [], powerset(242 ^ [])], 242 ^ []))],extension(186 ^ 2,bind([[_37637, _37639], [242 ^ [], powerset(242 ^ [])]]))).
% 0.64/1.38 ncf('1.1.1.1',plain,[-(in(187 ^ [242 ^ [], powerset(242 ^ [])], 242 ^ [])), 148 : in(187 ^ [242 ^ [], powerset(242 ^ [])], 198 ^ [242 ^ [], powerset(242 ^ [])]), 148 : subset(198 ^ [242 ^ [], powerset(242 ^ [])], 242 ^ [])],extension(144 ^ 5,bind([[_36092, _36094, _36229], [242 ^ [], 198 ^ [242 ^ [], powerset(242 ^ [])], 187 ^ [242 ^ [], powerset(242 ^ [])]]]))).
% 0.64/1.38 ncf('1.1.1.1.1',plain,[-(in(187 ^ [242 ^ [], powerset(242 ^ [])], 198 ^ [242 ^ [], powerset(242 ^ [])])), in(187 ^ [242 ^ [], powerset(242 ^ [])], 198 ^ [242 ^ [], powerset(242 ^ [])]), 187 ^ [242 ^ [], powerset(242 ^ [])] = 187 ^ [242 ^ [], powerset(242 ^ [])], 198 ^ [242 ^ [], powerset(242 ^ [])] = 198 ^ [242 ^ [], powerset(242 ^ [])]],extension(44 ^ 8,bind([[_32610, _32612, _32614, _32616], [198 ^ [242 ^ [], powerset(242 ^ [])], 198 ^ [242 ^ [], powerset(242 ^ [])], 187 ^ [242 ^ [], powerset(242 ^ [])], 187 ^ [242 ^ [], powerset(242 ^ [])]]]))).
% 0.64/1.38 ncf('1.1.1.1.1.1',plain,[-(in(187 ^ [242 ^ [], powerset(242 ^ [])], 198 ^ [242 ^ [], powerset(242 ^ [])]))],extension(200 ^ 9)).
% 0.64/1.38 ncf('1.1.1.1.1.2',plain,[-(187 ^ [242 ^ [], powerset(242 ^ [])] = 187 ^ [242 ^ [], powerset(242 ^ [])])],extension(2 ^ 9,bind([[_31239], [187 ^ [242 ^ [], powerset(242 ^ [])]]]))).
% 0.64/1.38 ncf('1.1.1.1.1.3',plain,[-(198 ^ [242 ^ [], powerset(242 ^ [])] = 198 ^ [242 ^ [], powerset(242 ^ [])])],extension(2 ^ 9,bind([[_31239], [198 ^ [242 ^ [], powerset(242 ^ [])]]]))).
% 0.64/1.38 ncf('1.1.1.1.2',plain,[-(subset(198 ^ [242 ^ [], powerset(242 ^ [])], 242 ^ [])), 117 : in(198 ^ [242 ^ [], powerset(242 ^ [])], powerset(242 ^ [])), 117 : powerset(242 ^ []) = powerset(242 ^ [])],extension(113 ^ 6,bind([[_35006, _35008, _35176], [powerset(242 ^ []), 242 ^ [], 198 ^ [242 ^ [], powerset(242 ^ [])]]]))).
% 0.64/1.38 ncf('1.1.1.1.2.1',plain,[-(in(198 ^ [242 ^ [], powerset(242 ^ [])], powerset(242 ^ [])))],extension(202 ^ 9)).
% 0.64/1.38 ncf('1.1.1.1.2.2',plain,[-(powerset(242 ^ []) = powerset(242 ^ []))],extension(2 ^ 7,bind([[_31239], [powerset(242 ^ [])]]))).
% 0.64/1.38 ncf('1.1.1.2',plain,[in(187 ^ [242 ^ [], powerset(242 ^ [])], 242 ^ []), in(242 ^ [], powerset(242 ^ []))],extension(193 ^ 5,bind([[_37920], [242 ^ []]]))).
% 0.64/1.38 ncf('1.1.1.2.1',plain,[-(in(242 ^ [], powerset(242 ^ []))), 123 : subset(242 ^ [], 242 ^ []), 123 : powerset(242 ^ []) = powerset(242 ^ [])],extension(113 ^ 6,bind([[_35006, _35008, _35348], [powerset(242 ^ []), 242 ^ [], 242 ^ []]]))).
% 0.64/1.38 ncf('1.1.1.2.1.1',plain,[-(subset(242 ^ [], 242 ^ []))],extension(226 ^ 9,bind([[_39059, _39061], [_24431, 242 ^ []]]))).
% 0.64/1.38 ncf('1.1.1.2.1.2',plain,[-(powerset(242 ^ []) = powerset(242 ^ []))],extension(2 ^ 7,bind([[_31239], [powerset(242 ^ [])]]))).
% 0.64/1.38 %-----------------------------------------------------
% 0.64/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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