TSTP Solution File: SET175+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET175+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:55:32 EDT 2023
% Result : Theorem 0.31s 1.37s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET175+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n003.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 19:05:00 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.31/1.37
% 0.31/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.37 %-----------------------------------------------------
% 0.31/1.37 ncf(matrix, plain, [(180 ^ _25704) ^ [] : [union(177 ^ [], intersection(177 ^ [], 178 ^ [])) = 177 ^ []], (48 ^ _25704) ^ [_27376, _27378, _27380, _27382] : [-(union(_27382, _27378) = union(_27380, _27376)), _27382 = _27380, _27378 = _27376], (58 ^ _25704) ^ [_27715, _27717, _27719, _27721] : [-(intersection(_27721, _27717) = intersection(_27719, _27715)), _27721 = _27719, _27717 = _27715], (2 ^ _25704) ^ [_25848] : [-(_25848 = _25848)], (4 ^ _25704) ^ [_25955, _25957] : [_25957 = _25955, -(_25955 = _25957)], (10 ^ _25704) ^ [_26159, _26161, _26163] : [-(_26163 = _26159), _26163 = _26161, _26161 = _26159], (20 ^ _25704) ^ [_26500, _26502, _26504, _26506] : [-(subset(_26504, _26500)), subset(_26506, _26502), _26506 = _26504, _26502 = _26500], (34 ^ _25704) ^ [_26924, _26926, _26928, _26930] : [-(member(_26928, _26924)), member(_26930, _26926), _26930 = _26928, _26926 = _26924], (78 ^ _25704) ^ [_28363, _28365, _28367] : [79 ^ _25704 : [(80 ^ _25704) ^ [] : [member(_28363, _28367)], (82 ^ _25704) ^ [] : [member(_28363, _28365)]], -(member(_28363, union(_28367, _28365)))], (68 ^ _25704) ^ [_28095, _28097, _28099] : [member(_28095, union(_28099, _28097)), -(member(_28095, _28099)), -(member(_28095, _28097))], (86 ^ _25704) ^ [_28706, _28708, _28710] : [member(_28706, intersection(_28710, _28708)), 89 ^ _25704 : [(90 ^ _25704) ^ [] : [-(member(_28706, _28710))], (92 ^ _25704) ^ [] : [-(member(_28706, _28708))]]], (94 ^ _25704) ^ [_28957, _28959, _28961] : [-(member(_28957, intersection(_28961, _28959))), member(_28957, _28961), member(_28957, _28959)], (104 ^ _25704) ^ [_29303, _29305] : [_29305 = _29303, 107 ^ _25704 : [(108 ^ _25704) ^ [] : [-(subset(_29305, _29303))], (110 ^ _25704) ^ [] : [-(subset(_29303, _29305))]]], (112 ^ _25704) ^ [_29540, _29542] : [-(_29542 = _29540), subset(_29542, _29540), subset(_29540, _29542)], (122 ^ _25704) ^ [_29826, _29828] : [-(union(_29828, _29826) = union(_29826, _29828))], (124 ^ _25704) ^ [_29926, _29928] : [-(intersection(_29928, _29926) = intersection(_29926, _29928))], (136 ^ _25704) ^ [_30384, _30386] : [138 ^ _25704 : [(139 ^ _25704) ^ [] : [-(member(137 ^ [_30384, _30386], _30386))], (141 ^ _25704) ^ [] : [member(137 ^ [_30384, _30386], _30384)]], -(subset(_30386, _30384))], (126 ^ _25704) ^ [_30070, _30072] : [subset(_30072, _30070), 129 ^ _25704 : [(130 ^ _25704) ^ [_30207] : [member(_30207, _30072), -(member(_30207, _30070))]]], (145 ^ _25704) ^ [_30712] : [-(subset(_30712, _30712))], (163 ^ _25704) ^ [_31345, _31347] : [-(_31347 = _31345), 167 ^ _25704 : [(168 ^ _25704) ^ [] : [-(member(164 ^ [_31345, _31347], _31347))], (170 ^ _25704) ^ [] : [member(164 ^ [_31345, _31347], _31345)]], 171 ^ _25704 : [(172 ^ _25704) ^ [] : [-(member(164 ^ [_31345, _31347], _31345))], (174 ^ _25704) ^ [] : [member(164 ^ [_31345, _31347], _31347)]]], (147 ^ _25704) ^ [_30828, _30830] : [_30830 = _30828, 150 ^ _25704 : [(151 ^ _25704) ^ [_30994] : [member(_30994, _30830), -(member(_30994, _30828))], (157 ^ _25704) ^ [_31166] : [member(_31166, _30828), -(member(_31166, _30830))]]]], input).
% 0.31/1.37 ncf('1',plain,[union(177 ^ [], intersection(177 ^ [], 178 ^ [])) = 177 ^ []],start(180 ^ 0)).
% 0.31/1.37 ncf('1.1',plain,[-(union(177 ^ [], intersection(177 ^ [], 178 ^ [])) = 177 ^ []), 168 : -(member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], union(177 ^ [], intersection(177 ^ [], 178 ^ [])))), 172 : -(member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], 177 ^ []))],extension(163 ^ 1,bind([[_31345, _31347], [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))]]))).
% 0.31/1.37 ncf('1.1.1',plain,[member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], union(177 ^ [], intersection(177 ^ [], 178 ^ []))), -(member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], 177 ^ [])), -(member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], intersection(177 ^ [], 178 ^ [])))],extension(68 ^ 4,bind([[_28095, _28097, _28099], [164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], intersection(177 ^ [], 178 ^ []), 177 ^ []]]))).
% 0.31/1.37 ncf('1.1.1.1',plain,[member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], 177 ^ [])],extension(170 ^ 5)).
% 0.31/1.37 ncf('1.1.1.2',plain,[member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], intersection(177 ^ [], 178 ^ [])), 90 : -(member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], 177 ^ []))],extension(86 ^ 5,bind([[_28706, _28708, _28710], [164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], 178 ^ [], 177 ^ []]]))).
% 0.31/1.37 ncf('1.1.1.2.1',plain,[member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], 177 ^ [])],lemmata('[1, 1].x')).
% 0.31/1.37 ncf('1.1.2',plain,[member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], 177 ^ []), -(member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], union(177 ^ [], intersection(177 ^ [], 178 ^ []))))],extension(78 ^ 4,bind([[_28363, _28365, _28367], [164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], intersection(177 ^ [], 178 ^ []), 177 ^ []]]))).
% 0.31/1.37 ncf('1.1.2.1',plain,[member(164 ^ [177 ^ [], union(177 ^ [], intersection(177 ^ [], 178 ^ []))], union(177 ^ [], intersection(177 ^ [], 178 ^ [])))],extension(174 ^ 5)).
% 0.31/1.37 %-----------------------------------------------------
% 0.31/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------