TSTP Solution File: SET608+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET608+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:56:06 EDT 2023
% Result : Theorem 0.54s 1.38s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET608+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n017.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 18:27:30 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.54/1.38
% 0.54/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.54/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/1.38 %-----------------------------------------------------
% 0.54/1.38 ncf(matrix, plain, [(208 ^ _31810) ^ [] : [union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])) = 205 ^ []], (48 ^ _31810) ^ [_33482, _33484, _33486, _33488] : [-(union(_33488, _33484) = union(_33486, _33482)), _33488 = _33486, _33484 = _33482], (58 ^ _31810) ^ [_33841, _33843, _33845, _33847] : [-(intersection(_33847, _33843) = intersection(_33845, _33841)), _33847 = _33845, _33843 = _33841], (68 ^ _31810) ^ [_34180, _34182, _34184, _34186] : [-(difference(_34186, _34182) = difference(_34184, _34180)), _34186 = _34184, _34182 = _34180], (2 ^ _31810) ^ [_31954] : [-(_31954 = _31954)], (4 ^ _31810) ^ [_32061, _32063] : [_32063 = _32061, -(_32061 = _32063)], (10 ^ _31810) ^ [_32265, _32267, _32269] : [-(_32269 = _32265), _32269 = _32267, _32267 = _32265], (20 ^ _31810) ^ [_32606, _32608, _32610, _32612] : [-(subset(_32610, _32606)), subset(_32612, _32608), _32612 = _32610, _32608 = _32606], (34 ^ _31810) ^ [_33030, _33032, _33034, _33036] : [-(member(_33034, _33030)), member(_33036, _33032), _33036 = _33034, _33032 = _33030], (88 ^ _31810) ^ [_34832, _34834, _34836] : [89 ^ _31810 : [(90 ^ _31810) ^ [] : [member(_34832, _34836)], (92 ^ _31810) ^ [] : [member(_34832, _34834)]], -(member(_34832, union(_34836, _34834)))], (78 ^ _31810) ^ [_34564, _34566, _34568] : [member(_34564, union(_34568, _34566)), -(member(_34564, _34568)), -(member(_34564, _34566))], (96 ^ _31810) ^ [_35175, _35177, _35179] : [member(_35175, intersection(_35179, _35177)), 99 ^ _31810 : [(100 ^ _31810) ^ [] : [-(member(_35175, _35179))], (102 ^ _31810) ^ [] : [-(member(_35175, _35177))]]], (104 ^ _31810) ^ [_35426, _35428, _35430] : [-(member(_35426, intersection(_35430, _35428))), member(_35426, _35430), member(_35426, _35428)], (114 ^ _31810) ^ [_35786, _35788, _35790] : [member(_35786, difference(_35790, _35788)), 117 ^ _31810 : [(118 ^ _31810) ^ [] : [-(member(_35786, _35790))], (120 ^ _31810) ^ [] : [member(_35786, _35788)]]], (122 ^ _31810) ^ [_36038, _36040, _36042] : [-(member(_36038, difference(_36042, _36040))), member(_36038, _36042), -(member(_36038, _36040))], (132 ^ _31810) ^ [_36387, _36389] : [_36389 = _36387, 135 ^ _31810 : [(136 ^ _31810) ^ [] : [-(subset(_36389, _36387))], (138 ^ _31810) ^ [] : [-(subset(_36387, _36389))]]], (140 ^ _31810) ^ [_36624, _36626] : [-(_36626 = _36624), subset(_36626, _36624), subset(_36624, _36626)], (150 ^ _31810) ^ [_36910, _36912] : [-(union(_36912, _36910) = union(_36910, _36912))], (152 ^ _31810) ^ [_37010, _37012] : [-(intersection(_37012, _37010) = intersection(_37010, _37012))], (164 ^ _31810) ^ [_37468, _37470] : [166 ^ _31810 : [(167 ^ _31810) ^ [] : [-(member(165 ^ [_37468, _37470], _37470))], (169 ^ _31810) ^ [] : [member(165 ^ [_37468, _37470], _37468)]], -(subset(_37470, _37468))], (154 ^ _31810) ^ [_37154, _37156] : [subset(_37156, _37154), 157 ^ _31810 : [(158 ^ _31810) ^ [_37291] : [member(_37291, _37156), -(member(_37291, _37154))]]], (173 ^ _31810) ^ [_37796] : [-(subset(_37796, _37796))], (191 ^ _31810) ^ [_38429, _38431] : [-(_38431 = _38429), 195 ^ _31810 : [(196 ^ _31810) ^ [] : [-(member(192 ^ [_38429, _38431], _38431))], (198 ^ _31810) ^ [] : [member(192 ^ [_38429, _38431], _38429)]], 199 ^ _31810 : [(200 ^ _31810) ^ [] : [-(member(192 ^ [_38429, _38431], _38429))], (202 ^ _31810) ^ [] : [member(192 ^ [_38429, _38431], _38431)]]], (175 ^ _31810) ^ [_37912, _37914] : [_37914 = _37912, 178 ^ _31810 : [(179 ^ _31810) ^ [_38078] : [member(_38078, _37914), -(member(_38078, _37912))], (185 ^ _31810) ^ [_38250] : [member(_38250, _37912), -(member(_38250, _37914))]]]], input).
% 0.54/1.38 ncf('1',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ [])), 120 : member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [])],start(114 ^ 0,bind([[_35786, _35788, _35790], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [], 205 ^ []]]))).
% 0.54/1.38 ncf('1.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []))), member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))), -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], intersection(205 ^ [], 206 ^ [])))],extension(78 ^ 1,bind([[_34564, _34566, _34568], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []), intersection(205 ^ [], 206 ^ [])]]))).
% 0.54/1.38 ncf('1.1.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])))), 90 : member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], intersection(205 ^ [], 206 ^ []))],extension(88 ^ 2,bind([[_34832, _34834, _34836], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []), intersection(205 ^ [], 206 ^ [])]]))).
% 0.54/1.38 ncf('1.1.1.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], intersection(205 ^ [], 206 ^ []))), member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ []), member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [])],extension(104 ^ 5,bind([[_35426, _35428, _35430], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [], 205 ^ []]]))).
% 0.54/1.38 ncf('1.1.1.1.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [])), -(union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])) = 205 ^ []), 196 : -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))))],extension(191 ^ 6,bind([[_38429, _38431], [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))]]))).
% 0.54/1.38 ncf('1.1.1.1.1.1',plain,[union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])) = 205 ^ []],extension(208 ^ 7)).
% 0.54/1.38 ncf('1.1.1.1.1.2',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])))],reduction('1.1')).
% 0.54/1.38 ncf('1.1.1.1.2',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [])), -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []))), member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [])],extension(122 ^ 6,bind([[_36038, _36040, _36042], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [], 205 ^ []]]))).
% 0.54/1.38 ncf('1.1.1.1.2.1',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []))],reduction('1')).
% 0.54/1.38 ncf('1.1.1.1.2.2',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ []))],lemmata('[1, 1, 1].x')).
% 0.54/1.38 ncf('1.1.2',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], intersection(205 ^ [], 206 ^ [])), -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))))],extension(88 ^ 2,bind([[_34832, _34834, _34836], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []), intersection(205 ^ [], 206 ^ [])]]))).
% 0.54/1.38 ncf('1.1.2.1',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))), -(union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])) = 205 ^ []), 198 : member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [])],extension(191 ^ 3,bind([[_38429, _38431], [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))]]))).
% 0.54/1.38 ncf('1.1.2.1.1',plain,[union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])) = 205 ^ []],extension(208 ^ 4)).
% 0.54/1.38 ncf('1.1.2.1.2',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [])), member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], intersection(205 ^ [], 206 ^ []))],extension(96 ^ 6,bind([[_35175, _35177, _35179], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [], 205 ^ []]]))).
% 0.54/1.38 ncf('1.1.2.1.2.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], intersection(205 ^ [], 206 ^ [])))],reduction('1.1')).
% 0.54/1.38 ncf('1.2',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [])), member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(206 ^ [], 205 ^ [])), -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ []))],extension(78 ^ 3,bind([[_34564, _34566, _34568], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [], 206 ^ []]]))).
% 0.54/1.38 ncf('1.2.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(206 ^ [], 205 ^ []))), 92 : member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [])],extension(88 ^ 4,bind([[_34832, _34834, _34836], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [], 206 ^ []]]))).
% 0.54/1.38 ncf('1.2.1.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [])), member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ []), 192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))] = 192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [] = 205 ^ []],extension(34 ^ 7,bind([[_33030, _33032, _33034, _33036], [205 ^ [], 205 ^ [], 192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))]]]))).
% 0.54/1.38 ncf('1.2.1.1.1',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ []))],extension(118 ^ 8)).
% 0.54/1.38 ncf('1.2.1.1.2',plain,[-(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))] = 192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))])],extension(2 ^ 8,bind([[_31954], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))]]]))).
% 0.54/1.38 ncf('1.2.1.1.3',plain,[-(205 ^ [] = 205 ^ [])],extension(2 ^ 8,bind([[_31954], [205 ^ []]]))).
% 0.54/1.38 ncf('1.2.2',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ []), -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []))), -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ []))],extension(122 ^ 4,bind([[_36038, _36040, _36042], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [], 205 ^ []]]))).
% 0.54/1.38 ncf('1.2.2.1',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ [])), -(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))))],extension(88 ^ 5,bind([[_34832, _34834, _34836], [192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], difference(205 ^ [], 206 ^ []), intersection(205 ^ [], 206 ^ [])]]))).
% 0.54/1.38 ncf('1.2.2.1.1',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))), -(union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])) = 205 ^ []), 198 : member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ [])],extension(191 ^ 6,bind([[_38429, _38431], [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))]]))).
% 0.54/1.38 ncf('1.2.2.1.1.1',plain,[union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ [])) = 205 ^ []],extension(208 ^ 7)).
% 0.54/1.38 ncf('1.2.2.1.1.2',plain,[-(member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 205 ^ []))],reduction('1.2')).
% 0.54/1.38 ncf('1.2.2.2',plain,[member(192 ^ [205 ^ [], union(intersection(205 ^ [], 206 ^ []), difference(205 ^ [], 206 ^ []))], 206 ^ [])],reduction('1')).
% 0.54/1.38 %-----------------------------------------------------
% 0.54/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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