TSTP Solution File: SET148+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET148+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 11:55:29 EDT 2023
% Result : Theorem 0.48s 1.37s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET148+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n015.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 19:12:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.48/1.37
% 0.48/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.48/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 ncf(matrix, plain, [(300 ^ _40246) ^ [] : [equal_set(intersection(298 ^ [], 298 ^ []), 298 ^ [])], (2 ^ _40246) ^ [_40390] : [-(_40390 = _40390)], (4 ^ _40246) ^ [_40497, _40499] : [_40499 = _40497, -(_40497 = _40499)], (10 ^ _40246) ^ [_40701, _40703, _40705] : [-(_40705 = _40701), _40705 = _40703, _40703 = _40701], (20 ^ _40246) ^ [_41042, _41044, _41046, _41048] : [-(subset(_41046, _41042)), subset(_41048, _41044), _41048 = _41046, _41044 = _41042], (34 ^ _40246) ^ [_41486, _41488, _41490, _41492] : [-(member(_41490, _41486)), member(_41492, _41488), _41492 = _41490, _41488 = _41486], (48 ^ _40246) ^ [_41910, _41912, _41914, _41916] : [-(equal_set(_41914, _41910)), equal_set(_41916, _41912), _41916 = _41914, _41912 = _41910], (62 ^ _40246) ^ [_42336, _42338] : [_42338 = _42336, -(power_set(_42338) = power_set(_42336))], (68 ^ _40246) ^ [_42582, _42584, _42586, _42588] : [-(union(_42588, _42584) = union(_42586, _42582)), _42588 = _42586, _42584 = _42582], (78 ^ _40246) ^ [_42941, _42943, _42945, _42947] : [-(difference(_42947, _42943) = difference(_42945, _42941)), _42947 = _42945, _42943 = _42941], (88 ^ _40246) ^ [_43272, _43274] : [_43274 = _43272, -(singleton(_43274) = singleton(_43272))], (94 ^ _40246) ^ [_43518, _43520, _43522, _43524] : [-(unordered_pair(_43524, _43520) = unordered_pair(_43522, _43518)), _43524 = _43522, _43520 = _43518], (104 ^ _40246) ^ [_43849, _43851] : [_43851 = _43849, -(sum(_43851) = sum(_43849))], (110 ^ _40246) ^ [_44067, _44069] : [_44069 = _44067, -(product(_44069) = product(_44067))], (116 ^ _40246) ^ [_44293, _44295, _44297, _44299] : [-(intersection(_44299, _44295) = intersection(_44297, _44293)), _44299 = _44297, _44295 = _44293], (136 ^ _40246) ^ [_44993, _44995] : [138 ^ _40246 : [(139 ^ _40246) ^ [] : [-(member(137 ^ [_44993, _44995], _44995))], (141 ^ _40246) ^ [] : [member(137 ^ [_44993, _44995], _44993)]], -(subset(_44995, _44993))], (126 ^ _40246) ^ [_44679, _44681] : [subset(_44681, _44679), 129 ^ _40246 : [(130 ^ _40246) ^ [_44816] : [member(_44816, _44681), -(member(_44816, _44679))]]], (145 ^ _40246) ^ [_45379, _45381] : [equal_set(_45381, _45379), 148 ^ _40246 : [(149 ^ _40246) ^ [] : [-(subset(_45381, _45379))], (151 ^ _40246) ^ [] : [-(subset(_45379, _45381))]]], (153 ^ _40246) ^ [_45616, _45618] : [-(equal_set(_45618, _45616)), subset(_45618, _45616), subset(_45616, _45618)], (163 ^ _40246) ^ [_45946, _45948] : [member(_45948, power_set(_45946)), -(subset(_45948, _45946))], (169 ^ _40246) ^ [_46112, _46114] : [subset(_46114, _46112), -(member(_46114, power_set(_46112)))], (175 ^ _40246) ^ [_46371, _46373, _46375] : [member(_46375, intersection(_46373, _46371)), 178 ^ _40246 : [(179 ^ _40246) ^ [] : [-(member(_46375, _46373))], (181 ^ _40246) ^ [] : [-(member(_46375, _46371))]]], (183 ^ _40246) ^ [_46622, _46624, _46626] : [-(member(_46626, intersection(_46624, _46622))), member(_46626, _46624), member(_46626, _46622)], (203 ^ _40246) ^ [_47250, _47252, _47254] : [204 ^ _40246 : [(205 ^ _40246) ^ [] : [member(_47254, _47252)], (207 ^ _40246) ^ [] : [member(_47254, _47250)]], -(member(_47254, union(_47252, _47250)))], (193 ^ _40246) ^ [_46982, _46984, _46986] : [member(_46986, union(_46984, _46982)), -(member(_46986, _46984)), -(member(_46986, _46982))], (211 ^ _40246) ^ [_47520] : [member(_47520, empty_set)], (213 ^ _40246) ^ [_47670, _47672, _47674] : [member(_47674, difference(_47670, _47672)), 216 ^ _40246 : [(217 ^ _40246) ^ [] : [-(member(_47674, _47670))], (219 ^ _40246) ^ [] : [member(_47674, _47672)]]], (221 ^ _40246) ^ [_47922, _47924, _47926] : [-(member(_47926, difference(_47922, _47924))), member(_47926, _47922), -(member(_47926, _47924))], (231 ^ _40246) ^ [_48271, _48273] : [member(_48273, singleton(_48271)), -(_48273 = _48271)], (237 ^ _40246) ^ [_48437, _48439] : [_48439 = _48437, -(member(_48439, singleton(_48437)))], (253 ^ _40246) ^ [_48964, _48966, _48968] : [254 ^ _40246 : [(255 ^ _40246) ^ [] : [_48968 = _48966], (257 ^ _40246) ^ [] : [_48968 = _48964]], -(member(_48968, unordered_pair(_48966, _48964)))], (243 ^ _40246) ^ [_48696, _48698, _48700] : [member(_48700, unordered_pair(_48698, _48696)), -(_48700 = _48698), -(_48700 = _48696)], (261 ^ _40246) ^ [_49293, _49295] : [member(_49295, sum(_49293)), 265 ^ _40246 : [(266 ^ _40246) ^ [] : [-(member(264 ^ [_49293, _49295], _49293))], (268 ^ _40246) ^ [] : [-(member(_49295, 264 ^ [_49293, _49295]))]]], (270 ^ _40246) ^ [_49604, _49606] : [-(member(_49606, sum(_49604))), 271 ^ _40246 : [(272 ^ _40246) ^ [_49698] : [member(_49698, _49604), member(_49606, _49698)]]], (290 ^ _40246) ^ [_50299, _50301] : [292 ^ _40246 : [(293 ^ _40246) ^ [] : [-(member(291 ^ [_50299, _50301], _50299))], (295 ^ _40246) ^ [] : [member(_50301, 291 ^ [_50299, _50301])]], -(member(_50301, product(_50299)))], (280 ^ _40246) ^ [_49981, _49983] : [member(_49983, product(_49981)), 283 ^ _40246 : [(284 ^ _40246) ^ [_50122] : [member(_50122, _49981), -(member(_49983, _50122))]]]], input).
% 0.48/1.37 ncf('1',plain,[equal_set(intersection(298 ^ [], 298 ^ []), 298 ^ [])],start(300 ^ 0)).
% 0.48/1.37 ncf('1.1',plain,[-(equal_set(intersection(298 ^ [], 298 ^ []), 298 ^ [])), subset(intersection(298 ^ [], 298 ^ []), 298 ^ []), subset(298 ^ [], intersection(298 ^ [], 298 ^ []))],extension(153 ^ 1,bind([[_45616, _45618], [298 ^ [], intersection(298 ^ [], 298 ^ [])]]))).
% 0.48/1.37 ncf('1.1.1',plain,[-(subset(intersection(298 ^ [], 298 ^ []), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], intersection(298 ^ [], 298 ^ [])], intersection(298 ^ [], 298 ^ [])))],extension(136 ^ 2,bind([[_44993, _44995], [298 ^ [], intersection(298 ^ [], 298 ^ [])]]))).
% 0.48/1.37 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], intersection(298 ^ [], 298 ^ [])], intersection(298 ^ [], 298 ^ [])), 179 : -(member(137 ^ [298 ^ [], intersection(298 ^ [], 298 ^ [])], 298 ^ []))],extension(175 ^ 5,bind([[_46371, _46373, _46375], [298 ^ [], 298 ^ [], 137 ^ [298 ^ [], intersection(298 ^ [], 298 ^ [])]]]))).
% 0.48/1.37 ncf('1.1.1.1.1',plain,[member(137 ^ [298 ^ [], intersection(298 ^ [], 298 ^ [])], 298 ^ [])],extension(141 ^ 8)).
% 0.48/1.37 ncf('1.1.2',plain,[-(subset(298 ^ [], intersection(298 ^ [], 298 ^ []))), 139 : -(member(137 ^ [intersection(298 ^ [], 298 ^ []), 298 ^ []], 298 ^ []))],extension(136 ^ 2,bind([[_44993, _44995], [intersection(298 ^ [], 298 ^ []), 298 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.1',plain,[member(137 ^ [intersection(298 ^ [], 298 ^ []), 298 ^ []], 298 ^ []), -(member(137 ^ [intersection(298 ^ [], 298 ^ []), 298 ^ []], intersection(298 ^ [], 298 ^ []))), member(137 ^ [intersection(298 ^ [], 298 ^ []), 298 ^ []], 298 ^ [])],extension(183 ^ 5,bind([[_46622, _46624, _46626], [298 ^ [], 298 ^ [], 137 ^ [intersection(298 ^ [], 298 ^ []), 298 ^ []]]]))).
% 0.48/1.37 ncf('1.1.2.1.1',plain,[member(137 ^ [intersection(298 ^ [], 298 ^ []), 298 ^ []], intersection(298 ^ [], 298 ^ []))],extension(141 ^ 6)).
% 0.48/1.37 ncf('1.1.2.1.2',plain,[-(member(137 ^ [intersection(298 ^ [], 298 ^ []), 298 ^ []], 298 ^ []))],reduction('1.1.2')).
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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