TSTP Solution File: SET633+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:56:11 EDT 2023
% Result : Theorem 4.27s 4.51s
% Output : Proof 4.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 18:48:21 EDT 2023
% 0.12/0.34 % CPUTime :
% 4.27/4.51
% 4.27/4.51 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 4.27/4.51 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.27/4.51 %-----------------------------------------------------
% 4.27/4.51 ncf(matrix, plain, [(167 ^ _27723) ^ [] : [-(subset(difference(163 ^ [], 164 ^ []), 165 ^ []))], (169 ^ _27723) ^ [] : [-(subset(difference(164 ^ [], 163 ^ []), 165 ^ []))], (171 ^ _27723) ^ [] : [subset(symmetric_difference(163 ^ [], 164 ^ []), 165 ^ [])], (78 ^ _27723) ^ [_30419, _30421] : [-(symmetric_difference(_30421, _30419) = union(difference(_30421, _30419), difference(_30419, _30421)))], (80 ^ _27723) ^ [_30554, _30556, _30558] : [-(subset(union(_30558, _30554), _30556)), subset(_30558, _30556), subset(_30554, _30556)], (90 ^ _27723) ^ [_30912, _30914, _30916] : [member(_30912, difference(_30916, _30914)), 93 ^ _27723 : [(94 ^ _27723) ^ [] : [-(member(_30912, _30916))], (96 ^ _27723) ^ [] : [member(_30912, _30914)]]], (98 ^ _27723) ^ [_31164, _31166, _31168] : [-(member(_31164, difference(_31168, _31166))), member(_31164, _31168), -(member(_31164, _31166))], (118 ^ _27723) ^ [_31827, _31829] : [120 ^ _27723 : [(121 ^ _27723) ^ [] : [-(member(119 ^ [_31827, _31829], _31829))], (123 ^ _27723) ^ [] : [member(119 ^ [_31827, _31829], _31827)]], -(subset(_31829, _31827))], (108 ^ _27723) ^ [_31513, _31515] : [subset(_31515, _31513), 111 ^ _27723 : [(112 ^ _27723) ^ [_31650] : [member(_31650, _31515), -(member(_31650, _31513))]]], (127 ^ _27723) ^ [_32169, _32171] : [-(union(_32171, _32169) = union(_32169, _32171))], (129 ^ _27723) ^ [_32269, _32271] : [-(symmetric_difference(_32271, _32269) = symmetric_difference(_32269, _32271))], (162 ^ _27723) ^ [_33413] : [-(subset(_33413, _33413))], (147 ^ _27723) ^ [_32930, _32932] : [-(_32932 = _32930), 151 ^ _27723 : [(152 ^ _27723) ^ [] : [-(member(148 ^ [_32930, _32932], _32932))], (154 ^ _27723) ^ [] : [member(148 ^ [_32930, _32932], _32930)]], 155 ^ _27723 : [(156 ^ _27723) ^ [] : [-(member(148 ^ [_32930, _32932], _32930))], (158 ^ _27723) ^ [] : [member(148 ^ [_32930, _32932], _32932)]]], (131 ^ _27723) ^ [_32413, _32415] : [_32415 = _32413, 134 ^ _27723 : [(135 ^ _27723) ^ [_32579] : [member(_32579, _32415), -(member(_32579, _32413))], (141 ^ _27723) ^ [_32751] : [member(_32751, _32413), -(member(_32751, _32415))]]], (48 ^ _27723) ^ [_29395, _29397, _29399, _29401] : [-(union(_29401, _29397) = union(_29399, _29395)), _29401 = _29399, _29397 = _29395], (58 ^ _27723) ^ [_29754, _29756, _29758, _29760] : [-(difference(_29760, _29756) = difference(_29758, _29754)), _29760 = _29758, _29756 = _29754], (68 ^ _27723) ^ [_30093, _30095, _30097, _30099] : [-(symmetric_difference(_30099, _30095) = symmetric_difference(_30097, _30093)), _30099 = _30097, _30095 = _30093], (2 ^ _27723) ^ [_27867] : [-(_27867 = _27867)], (4 ^ _27723) ^ [_27974, _27976] : [_27976 = _27974, -(_27974 = _27976)], (10 ^ _27723) ^ [_28178, _28180, _28182] : [-(_28182 = _28178), _28182 = _28180, _28180 = _28178], (20 ^ _27723) ^ [_28519, _28521, _28523, _28525] : [-(member(_28523, _28519)), member(_28525, _28521), _28525 = _28523, _28521 = _28519], (34 ^ _27723) ^ [_28943, _28945, _28947, _28949] : [-(subset(_28947, _28943)), subset(_28949, _28945), _28949 = _28947, _28945 = _28943]], input).
% 4.27/4.51 ncf('1',plain,[subset(symmetric_difference(163 ^ [], 164 ^ []), 165 ^ [])],start(171 ^ 0)).
% 4.27/4.51 ncf('1.1',plain,[-(subset(symmetric_difference(163 ^ [], 164 ^ []), 165 ^ [])), subset(union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ [])), 165 ^ []), union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ [])) = symmetric_difference(163 ^ [], 164 ^ []), 165 ^ [] = 165 ^ []],extension(34 ^ 1,bind([[_28943, _28945, _28947, _28949], [165 ^ [], 165 ^ [], symmetric_difference(163 ^ [], 164 ^ []), union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ []))]]))).
% 4.27/4.51 ncf('1.1.1',plain,[-(subset(union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ [])), 165 ^ [])), subset(difference(163 ^ [], 164 ^ []), 165 ^ []), subset(difference(164 ^ [], 163 ^ []), 165 ^ [])],extension(80 ^ 2,bind([[_30554, _30556, _30558], [difference(164 ^ [], 163 ^ []), 165 ^ [], difference(163 ^ [], 164 ^ [])]]))).
% 4.27/4.51 ncf('1.1.1.1',plain,[-(subset(difference(163 ^ [], 164 ^ []), 165 ^ []))],extension(167 ^ 3)).
% 4.27/4.51 ncf('1.1.1.2',plain,[-(subset(difference(164 ^ [], 163 ^ []), 165 ^ []))],extension(169 ^ 3)).
% 4.27/4.51 ncf('1.1.2',plain,[-(union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ [])) = symmetric_difference(163 ^ [], 164 ^ [])), symmetric_difference(163 ^ [], 164 ^ []) = union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ []))],extension(4 ^ 2,bind([[_27974, _27976], [union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ [])), symmetric_difference(163 ^ [], 164 ^ [])]]))).
% 4.27/4.51 ncf('1.1.2.1',plain,[-(symmetric_difference(163 ^ [], 164 ^ []) = union(difference(163 ^ [], 164 ^ []), difference(164 ^ [], 163 ^ [])))],extension(78 ^ 3,bind([[_30419, _30421], [164 ^ [], 163 ^ []]]))).
% 4.27/4.51 ncf('1.1.3',plain,[-(165 ^ [] = 165 ^ []), 152 : -(member(148 ^ [165 ^ [], 165 ^ []], 165 ^ [])), 156 : -(member(148 ^ [165 ^ [], 165 ^ []], 165 ^ []))],extension(147 ^ 2,bind([[_32930, _32932], [165 ^ [], 165 ^ []]]))).
% 4.27/4.51 ncf('1.1.3.1',plain,[member(148 ^ [165 ^ [], 165 ^ []], 165 ^ [])],extension(154 ^ 5)).
% 4.27/4.51 ncf('1.1.3.2',plain,[member(148 ^ [165 ^ [], 165 ^ []], 165 ^ [])],extension(158 ^ 5)).
% 4.27/4.51 %-----------------------------------------------------
% 4.27/4.51 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------