TSTP Solution File: SET693+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET693+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:56:18 EDT 2023
% Result : Theorem 0.53s 1.37s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET693+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n025.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 19:30:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.53/1.37
% 0.53/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.53/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/1.37 %-----------------------------------------------------
% 0.53/1.37 ncf(matrix, plain, [(301 ^ _43105) ^ [] : [302 ^ _43105 : [(303 ^ _43105) ^ [] : [-(equal_set(298 ^ [], union(298 ^ [], 299 ^ [])))], (305 ^ _43105) ^ [] : [subset(299 ^ [], 298 ^ [])]], 306 ^ _43105 : [(307 ^ _43105) ^ [] : [-(subset(299 ^ [], 298 ^ []))], (309 ^ _43105) ^ [] : [equal_set(298 ^ [], union(298 ^ [], 299 ^ []))]]], (2 ^ _43105) ^ [_43249] : [-(_43249 = _43249)], (4 ^ _43105) ^ [_43356, _43358] : [_43358 = _43356, -(_43356 = _43358)], (10 ^ _43105) ^ [_43560, _43562, _43564] : [-(_43564 = _43560), _43564 = _43562, _43562 = _43560], (20 ^ _43105) ^ [_43901, _43903, _43905, _43907] : [-(member(_43905, _43901)), member(_43907, _43903), _43907 = _43905, _43903 = _43901], (34 ^ _43105) ^ [_44345, _44347, _44349, _44351] : [-(equal_set(_44349, _44345)), equal_set(_44351, _44347), _44351 = _44349, _44347 = _44345], (48 ^ _43105) ^ [_44769, _44771, _44773, _44775] : [-(subset(_44773, _44769)), subset(_44775, _44771), _44775 = _44773, _44771 = _44769], (62 ^ _43105) ^ [_45195, _45197] : [_45197 = _45195, -(power_set(_45197) = power_set(_45195))], (68 ^ _43105) ^ [_45441, _45443, _45445, _45447] : [-(intersection(_45447, _45443) = intersection(_45445, _45441)), _45447 = _45445, _45443 = _45441], (78 ^ _43105) ^ [_45800, _45802, _45804, _45806] : [-(difference(_45806, _45802) = difference(_45804, _45800)), _45806 = _45804, _45802 = _45800], (88 ^ _43105) ^ [_46131, _46133] : [_46133 = _46131, -(singleton(_46133) = singleton(_46131))], (94 ^ _43105) ^ [_46377, _46379, _46381, _46383] : [-(unordered_pair(_46383, _46379) = unordered_pair(_46381, _46377)), _46383 = _46381, _46379 = _46377], (104 ^ _43105) ^ [_46708, _46710] : [_46710 = _46708, -(sum(_46710) = sum(_46708))], (110 ^ _43105) ^ [_46926, _46928] : [_46928 = _46926, -(product(_46928) = product(_46926))], (116 ^ _43105) ^ [_47152, _47154, _47156, _47158] : [-(union(_47158, _47154) = union(_47156, _47152)), _47158 = _47156, _47154 = _47152], (136 ^ _43105) ^ [_47852, _47854] : [138 ^ _43105 : [(139 ^ _43105) ^ [] : [-(member(137 ^ [_47852, _47854], _47854))], (141 ^ _43105) ^ [] : [member(137 ^ [_47852, _47854], _47852)]], -(subset(_47854, _47852))], (126 ^ _43105) ^ [_47538, _47540] : [subset(_47540, _47538), 129 ^ _43105 : [(130 ^ _43105) ^ [_47675] : [member(_47675, _47540), -(member(_47675, _47538))]]], (145 ^ _43105) ^ [_48238, _48240] : [equal_set(_48240, _48238), 148 ^ _43105 : [(149 ^ _43105) ^ [] : [-(subset(_48240, _48238))], (151 ^ _43105) ^ [] : [-(subset(_48238, _48240))]]], (153 ^ _43105) ^ [_48475, _48477] : [-(equal_set(_48477, _48475)), subset(_48477, _48475), subset(_48475, _48477)], (163 ^ _43105) ^ [_48805, _48807] : [member(_48807, power_set(_48805)), -(subset(_48807, _48805))], (169 ^ _43105) ^ [_48971, _48973] : [subset(_48973, _48971), -(member(_48973, power_set(_48971)))], (175 ^ _43105) ^ [_49230, _49232, _49234] : [member(_49234, intersection(_49232, _49230)), 178 ^ _43105 : [(179 ^ _43105) ^ [] : [-(member(_49234, _49232))], (181 ^ _43105) ^ [] : [-(member(_49234, _49230))]]], (183 ^ _43105) ^ [_49481, _49483, _49485] : [-(member(_49485, intersection(_49483, _49481))), member(_49485, _49483), member(_49485, _49481)], (203 ^ _43105) ^ [_50109, _50111, _50113] : [204 ^ _43105 : [(205 ^ _43105) ^ [] : [member(_50113, _50111)], (207 ^ _43105) ^ [] : [member(_50113, _50109)]], -(member(_50113, union(_50111, _50109)))], (193 ^ _43105) ^ [_49841, _49843, _49845] : [member(_49845, union(_49843, _49841)), -(member(_49845, _49843)), -(member(_49845, _49841))], (211 ^ _43105) ^ [_50379] : [member(_50379, empty_set)], (213 ^ _43105) ^ [_50529, _50531, _50533] : [member(_50533, difference(_50529, _50531)), 216 ^ _43105 : [(217 ^ _43105) ^ [] : [-(member(_50533, _50529))], (219 ^ _43105) ^ [] : [member(_50533, _50531)]]], (221 ^ _43105) ^ [_50781, _50783, _50785] : [-(member(_50785, difference(_50781, _50783))), member(_50785, _50781), -(member(_50785, _50783))], (231 ^ _43105) ^ [_51130, _51132] : [member(_51132, singleton(_51130)), -(_51132 = _51130)], (237 ^ _43105) ^ [_51296, _51298] : [_51298 = _51296, -(member(_51298, singleton(_51296)))], (253 ^ _43105) ^ [_51823, _51825, _51827] : [254 ^ _43105 : [(255 ^ _43105) ^ [] : [_51827 = _51825], (257 ^ _43105) ^ [] : [_51827 = _51823]], -(member(_51827, unordered_pair(_51825, _51823)))], (243 ^ _43105) ^ [_51555, _51557, _51559] : [member(_51559, unordered_pair(_51557, _51555)), -(_51559 = _51557), -(_51559 = _51555)], (261 ^ _43105) ^ [_52152, _52154] : [member(_52154, sum(_52152)), 265 ^ _43105 : [(266 ^ _43105) ^ [] : [-(member(264 ^ [_52152, _52154], _52152))], (268 ^ _43105) ^ [] : [-(member(_52154, 264 ^ [_52152, _52154]))]]], (270 ^ _43105) ^ [_52463, _52465] : [-(member(_52465, sum(_52463))), 271 ^ _43105 : [(272 ^ _43105) ^ [_52557] : [member(_52557, _52463), member(_52465, _52557)]]], (290 ^ _43105) ^ [_53158, _53160] : [292 ^ _43105 : [(293 ^ _43105) ^ [] : [-(member(291 ^ [_53158, _53160], _53158))], (295 ^ _43105) ^ [] : [member(_53160, 291 ^ [_53158, _53160])]], -(member(_53160, product(_53158)))], (280 ^ _43105) ^ [_52840, _52842] : [member(_52842, product(_52840)), 283 ^ _43105 : [(284 ^ _43105) ^ [_52981] : [member(_52981, _52840), -(member(_52842, _52981))]]]], input).
% 0.53/1.37 ncf('1',plain,[305 : subset(299 ^ [], 298 ^ []), 309 : equal_set(298 ^ [], union(298 ^ [], 299 ^ []))],start(301 ^ 0)).
% 0.53/1.37 ncf('1.1',plain,[-(subset(299 ^ [], 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], 299 ^ []], 299 ^ []))],extension(136 ^ 3,bind([[_47852, _47854], [298 ^ [], 299 ^ []]]))).
% 0.53/1.37 ncf('1.1.1',plain,[member(137 ^ [298 ^ [], 299 ^ []], 299 ^ []), -(member(137 ^ [298 ^ [], 299 ^ []], union(298 ^ [], 299 ^ [])))],extension(203 ^ 6,bind([[_50109, _50111, _50113], [299 ^ [], 298 ^ [], 137 ^ [298 ^ [], 299 ^ []]]]))).
% 0.53/1.37 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], 299 ^ []], union(298 ^ [], 299 ^ [])), 130 : -(member(137 ^ [298 ^ [], 299 ^ []], 298 ^ [])), 130 : subset(union(298 ^ [], 299 ^ []), 298 ^ [])],extension(126 ^ 7,bind([[_47538, _47540, _47675], [298 ^ [], union(298 ^ [], 299 ^ []), 137 ^ [298 ^ [], 299 ^ []]]]))).
% 0.53/1.37 ncf('1.1.1.1.1',plain,[member(137 ^ [298 ^ [], 299 ^ []], 298 ^ [])],extension(141 ^ 10)).
% 0.53/1.37 ncf('1.1.1.1.2',plain,[-(subset(union(298 ^ [], 299 ^ []), 298 ^ [])), equal_set(298 ^ [], union(298 ^ [], 299 ^ []))],extension(145 ^ 8,bind([[_48238, _48240], [union(298 ^ [], 299 ^ []), 298 ^ []]]))).
% 0.53/1.37 ncf('1.1.1.1.2.1',plain,[-(equal_set(298 ^ [], union(298 ^ [], 299 ^ [])))],extension(303 ^ 9)).
% 0.53/1.37 ncf('1.2',plain,[-(equal_set(298 ^ [], union(298 ^ [], 299 ^ []))), subset(298 ^ [], union(298 ^ [], 299 ^ [])), subset(union(298 ^ [], 299 ^ []), 298 ^ [])],extension(153 ^ 3,bind([[_48475, _48477], [union(298 ^ [], 299 ^ []), 298 ^ []]]))).
% 0.53/1.37 ncf('1.2.1',plain,[-(subset(298 ^ [], union(298 ^ [], 299 ^ []))), 139 : -(member(137 ^ [union(298 ^ [], 299 ^ []), 298 ^ []], 298 ^ []))],extension(136 ^ 4,bind([[_47852, _47854], [union(298 ^ [], 299 ^ []), 298 ^ []]]))).
% 0.53/1.37 ncf('1.2.1.1',plain,[member(137 ^ [union(298 ^ [], 299 ^ []), 298 ^ []], 298 ^ []), -(member(137 ^ [union(298 ^ [], 299 ^ []), 298 ^ []], union(298 ^ [], 299 ^ [])))],extension(203 ^ 7,bind([[_50109, _50111, _50113], [299 ^ [], 298 ^ [], 137 ^ [union(298 ^ [], 299 ^ []), 298 ^ []]]]))).
% 0.53/1.37 ncf('1.2.1.1.1',plain,[member(137 ^ [union(298 ^ [], 299 ^ []), 298 ^ []], union(298 ^ [], 299 ^ []))],extension(141 ^ 8)).
% 0.53/1.37 ncf('1.2.2',plain,[-(subset(union(298 ^ [], 299 ^ []), 298 ^ [])), 141 : member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], 298 ^ [])],extension(136 ^ 4,bind([[_47852, _47854], [298 ^ [], union(298 ^ [], 299 ^ [])]]))).
% 0.53/1.37 ncf('1.2.2.1',plain,[-(member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], 298 ^ [])), member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], union(298 ^ [], 299 ^ [])), -(member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], 299 ^ []))],extension(193 ^ 7,bind([[_49841, _49843, _49845], [299 ^ [], 298 ^ [], 137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])]]]))).
% 0.53/1.37 ncf('1.2.2.1.1',plain,[-(member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], union(298 ^ [], 299 ^ [])))],extension(139 ^ 8)).
% 0.53/1.37 ncf('1.2.2.1.2',plain,[member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], 299 ^ []), 130 : -(member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], 298 ^ [])), 130 : subset(299 ^ [], 298 ^ [])],extension(126 ^ 8,bind([[_47538, _47540, _47675], [298 ^ [], 299 ^ [], 137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])]]]))).
% 0.53/1.37 ncf('1.2.2.1.2.1',plain,[member(137 ^ [298 ^ [], union(298 ^ [], 299 ^ [])], 298 ^ [])],reduction('1.2.2')).
% 0.53/1.37 ncf('1.2.2.1.2.2',plain,[-(subset(299 ^ [], 298 ^ []))],extension(307 ^ 9)).
% 0.53/1.37 %-----------------------------------------------------
% 0.53/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------