TSTP Solution File: SET622+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET622+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 11:56:09 EDT 2023
% Result : Theorem 102.23s 99.61s
% Output : Proof 102.23s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET622+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n001.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 19:24:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 102.23/99.61
% 102.23/99.61 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 102.23/99.61 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 102.23/99.61 %-----------------------------------------------------
% 102.23/99.61 ncf(matrix, plain, [(229 ^ _37498) ^ [] : [difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ [])) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []))], (48 ^ _37498) ^ [_39170, _39172, _39174, _39176] : [-(symmetric_difference(_39176, _39172) = symmetric_difference(_39174, _39170)), _39176 = _39174, _39172 = _39170], (58 ^ _37498) ^ [_39529, _39531, _39533, _39535] : [-(difference(_39535, _39531) = difference(_39533, _39529)), _39535 = _39533, _39531 = _39529], (68 ^ _37498) ^ [_39888, _39890, _39892, _39894] : [-(union(_39894, _39890) = union(_39892, _39888)), _39894 = _39892, _39890 = _39888], (78 ^ _37498) ^ [_40227, _40229, _40231, _40233] : [-(intersection(_40233, _40229) = intersection(_40231, _40227)), _40233 = _40231, _40229 = _40227], (2 ^ _37498) ^ [_37642] : [-(_37642 = _37642)], (4 ^ _37498) ^ [_37749, _37751] : [_37751 = _37749, -(_37749 = _37751)], (10 ^ _37498) ^ [_37953, _37955, _37957] : [-(_37957 = _37953), _37957 = _37955, _37955 = _37953], (20 ^ _37498) ^ [_38294, _38296, _38298, _38300] : [-(member(_38298, _38294)), member(_38300, _38296), _38300 = _38298, _38296 = _38294], (34 ^ _37498) ^ [_38718, _38720, _38722, _38724] : [-(subset(_38722, _38718)), subset(_38724, _38720), _38724 = _38722, _38720 = _38718], (88 ^ _37498) ^ [_40571, _40573, _40575] : [-(intersection(intersection(_40575, _40573), _40571) = intersection(_40575, intersection(_40573, _40571)))], (90 ^ _37498) ^ [_40693, _40695, _40697] : [-(difference(_40697, difference(_40695, _40693)) = union(difference(_40697, _40695), intersection(_40697, _40693)))], (92 ^ _37498) ^ [_40804, _40806] : [-(symmetric_difference(_40806, _40804) = difference(union(_40806, _40804), intersection(_40806, _40804)))], (104 ^ _37498) ^ [_41236, _41238, _41240] : [105 ^ _37498 : [(106 ^ _37498) ^ [] : [member(_41236, _41240)], (108 ^ _37498) ^ [] : [member(_41236, _41238)]], -(member(_41236, union(_41240, _41238)))], (94 ^ _37498) ^ [_40968, _40970, _40972] : [member(_40968, union(_40972, _40970)), -(member(_40968, _40972)), -(member(_40968, _40970))], (112 ^ _37498) ^ [_41579, _41581, _41583] : [member(_41579, intersection(_41583, _41581)), 115 ^ _37498 : [(116 ^ _37498) ^ [] : [-(member(_41579, _41583))], (118 ^ _37498) ^ [] : [-(member(_41579, _41581))]]], (120 ^ _37498) ^ [_41830, _41832, _41834] : [-(member(_41830, intersection(_41834, _41832))), member(_41830, _41834), member(_41830, _41832)], (130 ^ _37498) ^ [_42190, _42192, _42194] : [member(_42190, difference(_42194, _42192)), 133 ^ _37498 : [(134 ^ _37498) ^ [] : [-(member(_42190, _42194))], (136 ^ _37498) ^ [] : [member(_42190, _42192)]]], (138 ^ _37498) ^ [_42442, _42444, _42446] : [-(member(_42442, difference(_42446, _42444))), member(_42442, _42446), -(member(_42442, _42444))], (148 ^ _37498) ^ [_42747, _42749] : [-(symmetric_difference(_42749, _42747) = union(difference(_42749, _42747), difference(_42747, _42749)))], (150 ^ _37498) ^ [_42897, _42899] : [_42899 = _42897, 153 ^ _37498 : [(154 ^ _37498) ^ [] : [-(subset(_42899, _42897))], (156 ^ _37498) ^ [] : [-(subset(_42897, _42899))]]], (158 ^ _37498) ^ [_43134, _43136] : [-(_43136 = _43134), subset(_43136, _43134), subset(_43134, _43136)], (168 ^ _37498) ^ [_43420, _43422] : [-(union(_43422, _43420) = union(_43420, _43422))], (170 ^ _37498) ^ [_43520, _43522] : [-(intersection(_43522, _43520) = intersection(_43520, _43522))], (172 ^ _37498) ^ [_43620, _43622] : [-(symmetric_difference(_43622, _43620) = symmetric_difference(_43620, _43622))], (224 ^ _37498) ^ [_45464] : [-(subset(_45464, _45464))], (215 ^ _37498) ^ [_45156, _45158] : [217 ^ _37498 : [(218 ^ _37498) ^ [] : [-(member(216 ^ [_45156, _45158], _45158))], (220 ^ _37498) ^ [] : [member(216 ^ [_45156, _45158], _45156)]], -(subset(_45158, _45156))], (205 ^ _37498) ^ [_44842, _44844] : [subset(_44844, _44842), 208 ^ _37498 : [(209 ^ _37498) ^ [_44979] : [member(_44979, _44844), -(member(_44979, _44842))]]], (190 ^ _37498) ^ [_44281, _44283] : [-(_44283 = _44281), 194 ^ _37498 : [(195 ^ _37498) ^ [] : [-(member(191 ^ [_44281, _44283], _44283))], (197 ^ _37498) ^ [] : [member(191 ^ [_44281, _44283], _44281)]], 198 ^ _37498 : [(199 ^ _37498) ^ [] : [-(member(191 ^ [_44281, _44283], _44281))], (201 ^ _37498) ^ [] : [member(191 ^ [_44281, _44283], _44283)]]], (174 ^ _37498) ^ [_43764, _43766] : [_43766 = _43764, 177 ^ _37498 : [(178 ^ _37498) ^ [_43930] : [member(_43930, _43766), -(member(_43930, _43764))], (184 ^ _37498) ^ [_44102] : [member(_44102, _43764), -(member(_44102, _43766))]]]], input).
% 102.23/99.61 ncf('1',plain,[difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ [])) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []))],start(229 ^ 0)).
% 102.23/99.61 ncf('1.1',plain,[-(difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ [])) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []))), difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ [])) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))), union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []))],extension(10 ^ 1,bind([[_37953, _37955, _37957], [union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ [])), union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))), difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ []))]]))).
% 102.23/99.61 ncf('1.1.1',plain,[-(difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ [])) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])))), difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ [])) = difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ []))), difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])))],extension(10 ^ 2,bind([[_37953, _37955, _37957], [union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))), difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ []))), difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ []))]]))).
% 102.23/99.61 ncf('1.1.1.1',plain,[-(difference(225 ^ [], symmetric_difference(226 ^ [], 227 ^ [])) = difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ [])))), 225 ^ [] = 225 ^ [], symmetric_difference(226 ^ [], 227 ^ []) = difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ []))],extension(58 ^ 3,bind([[_39529, _39531, _39533, _39535], [difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ [])), symmetric_difference(226 ^ [], 227 ^ []), 225 ^ [], 225 ^ []]]))).
% 102.23/99.61 ncf('1.1.1.1.1',plain,[-(225 ^ [] = 225 ^ [])],extension(2 ^ 4,bind([[_37642], [225 ^ []]]))).
% 102.23/99.61 ncf('1.1.1.1.2',plain,[-(symmetric_difference(226 ^ [], 227 ^ []) = difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ [])))],extension(92 ^ 4,bind([[_40804, _40806], [227 ^ [], 226 ^ []]]))).
% 102.23/99.61 ncf('1.1.1.2',plain,[-(difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])))), difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))), union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])))],extension(10 ^ 3,bind([[_37953, _37955, _37957], [union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))), union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))), difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ [])))]]))).
% 102.23/99.61 ncf('1.1.1.2.1',plain,[-(difference(225 ^ [], difference(union(226 ^ [], 227 ^ []), intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))))],extension(90 ^ 4,bind([[_40693, _40695, _40697], [intersection(226 ^ [], 227 ^ []), union(226 ^ [], 227 ^ []), 225 ^ []]]))).
% 102.23/99.61 ncf('1.1.1.2.2',plain,[-(union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))))],extension(2 ^ 4,bind([[_37642], [union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])))]]))).
% 102.23/99.61 ncf('1.1.2',plain,[-(union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))) = union(difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []))), difference(225 ^ [], union(226 ^ [], 227 ^ [])) = difference(225 ^ [], union(226 ^ [], 227 ^ [])), intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])) = intersection(intersection(225 ^ [], 226 ^ []), 227 ^ [])],extension(68 ^ 2,bind([[_39888, _39890, _39892, _39894], [intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []), intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])), difference(225 ^ [], union(226 ^ [], 227 ^ [])), difference(225 ^ [], union(226 ^ [], 227 ^ []))]]))).
% 102.23/99.61 ncf('1.1.2.1',plain,[-(difference(225 ^ [], union(226 ^ [], 227 ^ [])) = difference(225 ^ [], union(226 ^ [], 227 ^ []))), 225 ^ [] = 225 ^ [], union(226 ^ [], 227 ^ []) = union(226 ^ [], 227 ^ [])],extension(58 ^ 3,bind([[_39529, _39531, _39533, _39535], [union(226 ^ [], 227 ^ []), union(226 ^ [], 227 ^ []), 225 ^ [], 225 ^ []]]))).
% 102.23/99.61 ncf('1.1.2.1.1',plain,[-(225 ^ [] = 225 ^ [])],extension(2 ^ 4,bind([[_37642], [225 ^ []]]))).
% 102.23/99.61 ncf('1.1.2.1.2',plain,[-(union(226 ^ [], 227 ^ []) = union(226 ^ [], 227 ^ []))],extension(2 ^ 4,bind([[_37642], [union(226 ^ [], 227 ^ [])]]))).
% 102.23/99.61 ncf('1.1.2.2',plain,[-(intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])) = intersection(intersection(225 ^ [], 226 ^ []), 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []) = intersection(225 ^ [], intersection(226 ^ [], 227 ^ []))],extension(4 ^ 3,bind([[_37749, _37751], [intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])), intersection(intersection(225 ^ [], 226 ^ []), 227 ^ [])]]))).
% 102.23/99.61 ncf('1.1.2.2.1',plain,[-(intersection(intersection(225 ^ [], 226 ^ []), 227 ^ []) = intersection(225 ^ [], intersection(226 ^ [], 227 ^ [])))],extension(88 ^ 4,bind([[_40571, _40573, _40575], [227 ^ [], 226 ^ [], 225 ^ []]]))).
% 102.23/99.61 %-----------------------------------------------------
% 102.23/99.61 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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