TSTP Solution File: SET611+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.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 11:56:07 EDT 2023
% Result : Theorem 180.28s 174.98s
% Output : Proof 180.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.10 % Command : nanocop.sh %s %d
% 0.10/0.29 % Computer : n024.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu May 18 19:06:06 EDT 2023
% 0.10/0.29 % CPUTime :
% 180.28/174.98
% 180.28/174.98 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 180.28/174.98 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 180.28/174.98 %-----------------------------------------------------
% 180.28/174.98 ncf(matrix, plain, [(218 ^ _50843) ^ [] : [219 ^ _50843 : [(220 ^ _50843) ^ [] : [-(intersection(215 ^ [], 216 ^ []) = empty_set)], (222 ^ _50843) ^ [] : [difference(215 ^ [], 216 ^ []) = 215 ^ []]], 223 ^ _50843 : [(224 ^ _50843) ^ [] : [-(difference(215 ^ [], 216 ^ []) = 215 ^ [])], (226 ^ _50843) ^ [] : [intersection(215 ^ [], 216 ^ []) = empty_set]]], !, (203 ^ _43365) ^ [_50341] : [empty(_50341), 206 ^ _43365 : [(207 ^ _43365) ^ [_50452] : [member(_50452, _50341)]]], (58 ^ _43365) ^ [_45314, _45316, _45318, _45320] : [-(intersection(_45320, _45316) = intersection(_45318, _45314)), _45320 = _45318, _45316 = _45314], (78 ^ _43365) ^ [_45990, _45992] : [-(_45992 = _45990), 82 ^ _43365 : [(83 ^ _43365) ^ [] : [-(member(79 ^ [_45990, _45992], _45992))], (85 ^ _43365) ^ [] : [member(79 ^ [_45990, _45992], _45990)]], 86 ^ _43365 : [(87 ^ _43365) ^ [] : [-(member(79 ^ [_45990, _45992], _45990))], (89 ^ _43365) ^ [] : [member(79 ^ [_45990, _45992], _45992)]]], (167 ^ _43365) ^ [_49036, _49038] : [-(_49038 = _49036), 171 ^ _43365 : [(172 ^ _43365) ^ [] : [-(member(168 ^ [_49036, _49038], _49038))], (174 ^ _43365) ^ [] : [member(168 ^ [_49036, _49038], _49036)]], 175 ^ _43365 : [(176 ^ _43365) ^ [] : [-(member(168 ^ [_49036, _49038], _49036))], (178 ^ _43365) ^ [] : [member(168 ^ [_49036, _49038], _49038)]]], (20 ^ _43365) ^ [_44141, _44143, _44145, _44147] : [-(subset(_44145, _44141)), subset(_44147, _44143), _44147 = _44145, _44143 = _44141], (201 ^ _43365) ^ [_50239] : [-(subset(_50239, _50239))], (44 ^ _43365) ^ [_44860, _44862, _44864, _44866] : [-(member(_44864, _44860)), member(_44866, _44862), _44866 = _44864, _44862 = _44860], (139 ^ _43365) ^ [_48089, _48091] : [-(_48091 = _48089), subset(_48091, _48089), subset(_48089, _48091)], (4 ^ _43365) ^ [_43596, _43598] : [_43598 = _43596, -(_43596 = _43598)], (192 ^ _43365) ^ [_49911, _49913] : [194 ^ _43365 : [(195 ^ _43365) ^ [] : [-(member(193 ^ [_49911, _49913], _49913))], (197 ^ _43365) ^ [] : [member(193 ^ [_49911, _49913], _49911)]], -(subset(_49913, _49911))], (111 ^ _43365) ^ [_47174, _47176, _47178] : [member(_47174, difference(_47178, _47176)), 114 ^ _43365 : [(115 ^ _43365) ^ [] : [-(member(_47174, _47178))], (117 ^ _43365) ^ [] : [member(_47174, _47176)]]], (151 ^ _43365) ^ [_48519, _48521] : [_48521 = _48519, 154 ^ _43365 : [(155 ^ _43365) ^ [_48685] : [member(_48685, _48521), -(member(_48685, _48519))], (161 ^ _43365) ^ [_48857] : [member(_48857, _48519), -(member(_48857, _48521))]]], (2 ^ _43365) ^ [_43489] : [-(_43489 = _43489)], (182 ^ _43365) ^ [_49597, _49599] : [subset(_49599, _49597), 185 ^ _43365 : [(186 ^ _43365) ^ [_49734] : [member(_49734, _49599), -(member(_49734, _49597))]]], (209 ^ _43365) ^ [_50518] : [-(member(210 ^ [_50518], _50518)), -(empty(_50518))], (131 ^ _43365) ^ [_47852, _47854] : [_47854 = _47852, 134 ^ _43365 : [(135 ^ _43365) ^ [] : [-(subset(_47854, _47852))], (137 ^ _43365) ^ [] : [-(subset(_47852, _47854))]]], (68 ^ _43365) ^ [_45653, _45655, _45657, _45659] : [-(difference(_45659, _45655) = difference(_45657, _45653)), _45659 = _45657, _45655 = _45653], (93 ^ _43365) ^ [_46563, _46565, _46567] : [member(_46563, intersection(_46567, _46565)), 96 ^ _43365 : [(97 ^ _43365) ^ [] : [-(member(_46563, _46567))], (99 ^ _43365) ^ [] : [-(member(_46563, _46565))]]], (119 ^ _43365) ^ [_47426, _47428, _47430] : [-(member(_47426, difference(_47430, _47428))), member(_47426, _47430), -(member(_47426, _47428))], (101 ^ _43365) ^ [_46814, _46816, _46818] : [-(member(_46814, intersection(_46818, _46816))), member(_46814, _46818), member(_46814, _46816)], (129 ^ _43365) ^ [_47716] : [member(_47716, empty_set)], (10 ^ _43365) ^ [_43800, _43802, _43804] : [-(_43804 = _43800), _43804 = _43802, _43802 = _43800], (34 ^ _43365) ^ [_44557, _44559] : [-(empty(_44557)), _44559 = _44557, empty(_44559)], (149 ^ _43365) ^ [_48375, _48377] : [-(intersection(_48377, _48375) = intersection(_48375, _48377))]], input).
% 180.28/174.98 ncf('1',plain,[220 : -(intersection(215 ^ [], 216 ^ []) = empty_set), 224 : -(difference(215 ^ [], 216 ^ []) = 215 ^ [])],start(218 ^ 0)).
% 180.28/174.98 ncf('1.1',plain,[intersection(215 ^ [], 216 ^ []) = empty_set, -(empty_set = intersection(215 ^ [], 216 ^ []))],extension(4 ^ 3,bind([[_43596, _43598], [empty_set, intersection(215 ^ [], 216 ^ [])]]))).
% 180.28/174.98 ncf('1.1.1',plain,[empty_set = intersection(215 ^ [], 216 ^ []), 161 : member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], intersection(215 ^ [], 216 ^ [])), 161 : -(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], empty_set))],extension(151 ^ 4,bind([[_48519, _48521, _48857], [intersection(215 ^ [], 216 ^ []), empty_set, 79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []]]]))).
% 180.28/174.98 ncf('1.1.1.1',plain,[-(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], intersection(215 ^ [], 216 ^ []))), member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ []), member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 216 ^ [])],extension(101 ^ 7,bind([[_46814, _46816, _46818], [79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 216 ^ [], 215 ^ []]]))).
% 180.28/174.98 ncf('1.1.1.1.1',plain,[-(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ [])), -(215 ^ [] = difference(215 ^ [], 216 ^ [])), 87 : -(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], difference(215 ^ [], 216 ^ [])))],extension(78 ^ 8,bind([[_45990, _45992], [difference(215 ^ [], 216 ^ []), 215 ^ []]]))).
% 180.28/174.98 ncf('1.1.1.1.1.1',plain,[215 ^ [] = difference(215 ^ [], 216 ^ []), -(difference(215 ^ [], 216 ^ []) = 215 ^ [])],extension(4 ^ 9,bind([[_43596, _43598], [difference(215 ^ [], 216 ^ []), 215 ^ []]]))).
% 180.28/174.98 ncf('1.1.1.1.1.1.1',plain,[difference(215 ^ [], 216 ^ []) = 215 ^ []],extension(222 ^ 10)).
% 180.28/174.98 ncf('1.1.1.1.1.2',plain,[member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], difference(215 ^ [], 216 ^ [])), 115 : -(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ []))],extension(111 ^ 11,bind([[_47174, _47176, _47178], [79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 216 ^ [], 215 ^ []]]))).
% 180.28/174.98 ncf('1.1.1.1.1.2.1',plain,[member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ [])],reduction('1.1.1.1')).
% 180.28/174.98 ncf('1.1.1.1.2',plain,[-(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 216 ^ [])), -(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], difference(215 ^ [], 216 ^ []))), member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ [])],extension(119 ^ 8,bind([[_47426, _47428, _47430], [79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 216 ^ [], 215 ^ []]]))).
% 180.28/174.98 ncf('1.1.1.1.2.1',plain,[member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], difference(215 ^ [], 216 ^ [])), -(215 ^ [] = difference(215 ^ [], 216 ^ [])), 89 : member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ [])],extension(78 ^ 9,bind([[_45990, _45992], [difference(215 ^ [], 216 ^ []), 215 ^ []]]))).
% 180.28/174.98 ncf('1.1.1.1.2.1.1',plain,[215 ^ [] = difference(215 ^ [], 216 ^ []), -(difference(215 ^ [], 216 ^ []) = 215 ^ [])],extension(4 ^ 10,bind([[_43596, _43598], [difference(215 ^ [], 216 ^ []), 215 ^ []]]))).
% 180.28/174.98 ncf('1.1.1.1.2.1.1.1',plain,[difference(215 ^ [], 216 ^ []) = 215 ^ []],extension(222 ^ 11)).
% 180.28/174.98 ncf('1.1.1.1.2.1.2',plain,[-(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ []))],lemmata('[1, 1, 1].x')).
% 180.28/174.98 ncf('1.1.1.1.2.2',plain,[-(member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], 215 ^ []))],lemmata('[1, 1, 1].x')).
% 180.28/174.98 ncf('1.1.1.2',plain,[member(79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []], empty_set), empty(empty_set)],extension(203 ^ 7,bind([[_50341, _50452], [empty_set, 79 ^ [difference(215 ^ [], 216 ^ []), 215 ^ []]]]))).
% 180.28/174.98 ncf('1.1.1.2.1',plain,[-(empty(empty_set)), -(member(210 ^ [empty_set], empty_set))],extension(209 ^ 8,bind([[_50518], [empty_set]]))).
% 180.28/174.98 ncf('1.1.1.2.1.1',plain,[member(210 ^ [empty_set], empty_set)],extension(129 ^ 9,bind([[_47716], [210 ^ [empty_set]]]))).
% 180.28/174.98 ncf('1.2',plain,[difference(215 ^ [], 216 ^ []) = 215 ^ [], -(intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ [])), empty_set = empty_set],extension(58 ^ 3,bind([[_45314, _45316, _45318, _45320], [215 ^ [], difference(215 ^ [], 216 ^ []), empty_set, empty_set]]))).
% 180.28/174.98 ncf('1.2.1',plain,[intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ []), -(subset(intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ []))), subset(intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ []))), intersection(empty_set, 215 ^ []) = intersection(difference(215 ^ [], 216 ^ []), 216 ^ [])],extension(20 ^ 4,bind([[_44141, _44143, _44145, _44147], [intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.1',plain,[subset(intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])), -(subset(intersection(215 ^ [], 216 ^ []), empty_set)), intersection(difference(215 ^ [], 216 ^ []), 216 ^ []) = intersection(215 ^ [], 216 ^ []), intersection(empty_set, 215 ^ []) = empty_set],extension(20 ^ 5,bind([[_44141, _44143, _44145, _44147], [empty_set, intersection(empty_set, 215 ^ []), intersection(215 ^ [], 216 ^ []), intersection(difference(215 ^ [], 216 ^ []), 216 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.1.1',plain,[subset(intersection(215 ^ [], 216 ^ []), empty_set), -(intersection(215 ^ [], 216 ^ []) = empty_set), subset(empty_set, intersection(215 ^ [], 216 ^ []))],extension(139 ^ 6,bind([[_48089, _48091], [empty_set, intersection(215 ^ [], 216 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.1.1.1',plain,[intersection(215 ^ [], 216 ^ []) = empty_set],extension(226 ^ 7)).
% 180.28/174.98 ncf('1.2.1.1.1.2',plain,[-(subset(empty_set, intersection(215 ^ [], 216 ^ []))), 195 : -(member(193 ^ [intersection(215 ^ [], 216 ^ []), empty_set], empty_set))],extension(192 ^ 7,bind([[_49911, _49913], [intersection(215 ^ [], 216 ^ []), empty_set]]))).
% 180.28/174.98 ncf('1.2.1.1.1.2.1',plain,[member(193 ^ [intersection(215 ^ [], 216 ^ []), empty_set], empty_set)],extension(129 ^ 10,bind([[_47716], [193 ^ [intersection(215 ^ [], 216 ^ []), empty_set]]]))).
% 180.28/174.98 ncf('1.2.1.1.2',plain,[-(intersection(difference(215 ^ [], 216 ^ []), 216 ^ []) = intersection(215 ^ [], 216 ^ [])), difference(215 ^ [], 216 ^ []) = 215 ^ [], 216 ^ [] = 216 ^ []],extension(58 ^ 6,bind([[_45314, _45316, _45318, _45320], [216 ^ [], 216 ^ [], 215 ^ [], difference(215 ^ [], 216 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.1.2.1',plain,[-(difference(215 ^ [], 216 ^ []) = 215 ^ [])],reduction('1')).
% 180.28/174.98 ncf('1.2.1.1.2.2',plain,[-(216 ^ [] = 216 ^ []), 83 : -(member(79 ^ [216 ^ [], 216 ^ []], 216 ^ [])), 87 : -(member(79 ^ [216 ^ [], 216 ^ []], 216 ^ []))],extension(78 ^ 7,bind([[_45990, _45992], [216 ^ [], 216 ^ []]]))).
% 180.28/174.98 ncf('1.2.1.1.2.2.1',plain,[member(79 ^ [216 ^ [], 216 ^ []], 216 ^ [])],extension(85 ^ 10)).
% 180.28/174.98 ncf('1.2.1.1.2.2.2',plain,[member(79 ^ [216 ^ [], 216 ^ []], 216 ^ [])],extension(89 ^ 10)).
% 180.28/174.98 ncf('1.2.1.1.3',plain,[-(intersection(empty_set, 215 ^ []) = empty_set), 83 : -(member(79 ^ [empty_set, intersection(empty_set, 215 ^ [])], intersection(empty_set, 215 ^ []))), 87 : -(member(79 ^ [empty_set, intersection(empty_set, 215 ^ [])], empty_set))],extension(78 ^ 6,bind([[_45990, _45992], [empty_set, intersection(empty_set, 215 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.1.3.1',plain,[member(79 ^ [empty_set, intersection(empty_set, 215 ^ [])], intersection(empty_set, 215 ^ [])), 97 : -(member(79 ^ [empty_set, intersection(empty_set, 215 ^ [])], empty_set))],extension(93 ^ 9,bind([[_46563, _46565, _46567], [79 ^ [empty_set, intersection(empty_set, 215 ^ [])], 215 ^ [], empty_set]]))).
% 180.28/174.98 ncf('1.2.1.1.3.1.1',plain,[member(79 ^ [empty_set, intersection(empty_set, 215 ^ [])], empty_set)],extension(85 ^ 12)).
% 180.28/174.98 ncf('1.2.1.1.3.2',plain,[member(79 ^ [empty_set, intersection(empty_set, 215 ^ [])], empty_set)],extension(129 ^ 9,bind([[_47716], [79 ^ [empty_set, intersection(empty_set, 215 ^ [])]]]))).
% 180.28/174.98 ncf('1.2.1.2',plain,[-(subset(intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ [])))), subset(intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, difference(215 ^ [], 216 ^ []))), intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, difference(215 ^ [], 216 ^ []))],extension(20 ^ 5,bind([[_44141, _44143, _44145, _44147], [intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ []))]]))).
% 180.28/174.98 ncf('1.2.1.2.1',plain,[-(subset(intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, difference(215 ^ [], 216 ^ [])))), subset(intersection(empty_set, 215 ^ []), intersection(empty_set, 215 ^ [])), intersection(empty_set, 215 ^ []) = intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, 215 ^ []) = intersection(empty_set, difference(215 ^ [], 216 ^ []))],extension(20 ^ 6,bind([[_44141, _44143, _44145, _44147], [intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, 215 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.2.1.1',plain,[-(subset(intersection(empty_set, 215 ^ []), intersection(empty_set, 215 ^ []))), subset(intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, difference(215 ^ [], 216 ^ []))), intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ [])],extension(20 ^ 7,bind([[_44141, _44143, _44145, _44147], [intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, 215 ^ []), intersection(empty_set, difference(215 ^ [], 216 ^ []))]]))).
% 180.28/174.98 ncf('1.2.1.2.1.1.1',plain,[-(subset(intersection(empty_set, difference(215 ^ [], 216 ^ [])), intersection(empty_set, difference(215 ^ [], 216 ^ []))))],extension(201 ^ 8,bind([[_50239], [intersection(empty_set, difference(215 ^ [], 216 ^ []))]]))).
% 180.28/174.98 ncf('1.2.1.2.1.1.2',plain,[-(intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ []))],reduction('1.2')).
% 180.28/174.98 ncf('1.2.1.2.1.1.3',plain,[-(intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ []))],reduction('1.2')).
% 180.28/174.98 ncf('1.2.1.2.1.2',plain,[-(intersection(empty_set, 215 ^ []) = intersection(empty_set, difference(215 ^ [], 216 ^ []))), empty_set = empty_set, 215 ^ [] = difference(215 ^ [], 216 ^ [])],extension(58 ^ 7,bind([[_45314, _45316, _45318, _45320], [difference(215 ^ [], 216 ^ []), 215 ^ [], empty_set, empty_set]]))).
% 180.28/174.98 ncf('1.2.1.2.1.2.1',plain,[-(empty_set = empty_set)],extension(2 ^ 8,bind([[_43489], [empty_set]]))).
% 180.28/174.98 ncf('1.2.1.2.1.2.2',plain,[-(215 ^ [] = difference(215 ^ [], 216 ^ [])), difference(215 ^ [], 216 ^ []) = 215 ^ []],extension(4 ^ 8,bind([[_43596, _43598], [215 ^ [], difference(215 ^ [], 216 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.2.1.2.2.1',plain,[-(difference(215 ^ [], 216 ^ []) = 215 ^ [])],reduction('1')).
% 180.28/174.98 ncf('1.2.1.2.1.3',plain,[-(intersection(empty_set, 215 ^ []) = intersection(empty_set, difference(215 ^ [], 216 ^ []))), empty_set = empty_set, 215 ^ [] = difference(215 ^ [], 216 ^ [])],extension(58 ^ 7,bind([[_45314, _45316, _45318, _45320], [difference(215 ^ [], 216 ^ []), 215 ^ [], empty_set, empty_set]]))).
% 180.28/174.98 ncf('1.2.1.2.1.3.1',plain,[-(empty_set = empty_set)],extension(2 ^ 8,bind([[_43489], [empty_set]]))).
% 180.28/174.98 ncf('1.2.1.2.1.3.2',plain,[-(215 ^ [] = difference(215 ^ [], 216 ^ [])), difference(215 ^ [], 216 ^ []) = 215 ^ []],extension(4 ^ 8,bind([[_43596, _43598], [215 ^ [], difference(215 ^ [], 216 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.2.1.3.2.1',plain,[-(difference(215 ^ [], 216 ^ []) = 215 ^ [])],reduction('1')).
% 180.28/174.98 ncf('1.2.1.2.2',plain,[-(intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, 215 ^ []))],reduction('1.2')).
% 180.28/174.98 ncf('1.2.1.2.3',plain,[-(intersection(empty_set, difference(215 ^ [], 216 ^ [])) = intersection(empty_set, difference(215 ^ [], 216 ^ []))), empty_set = empty_set, difference(215 ^ [], 216 ^ []) = difference(215 ^ [], 216 ^ [])],extension(58 ^ 6,bind([[_45314, _45316, _45318, _45320], [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ []), empty_set, empty_set]]))).
% 180.28/174.98 ncf('1.2.1.2.3.1',plain,[-(empty_set = empty_set), 83 : -(member(79 ^ [empty_set, empty_set], empty_set)), 87 : -(member(79 ^ [empty_set, empty_set], empty_set))],extension(78 ^ 7,bind([[_45990, _45992], [empty_set, empty_set]]))).
% 180.28/174.98 ncf('1.2.1.2.3.1.1',plain,[member(79 ^ [empty_set, empty_set], empty_set)],extension(85 ^ 10)).
% 180.28/174.98 ncf('1.2.1.2.3.1.2',plain,[member(79 ^ [empty_set, empty_set], empty_set)],extension(89 ^ 10)).
% 180.28/174.98 ncf('1.2.1.2.3.2',plain,[-(difference(215 ^ [], 216 ^ []) = difference(215 ^ [], 216 ^ [])), 83 : -(member(79 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ []))), 87 : -(member(79 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ [])))],extension(78 ^ 7,bind([[_45990, _45992], [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.2.3.2.1',plain,[member(79 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ []))],extension(85 ^ 10)).
% 180.28/174.98 ncf('1.2.1.2.3.2.2',plain,[member(79 ^ [difference(215 ^ [], 216 ^ []), difference(215 ^ [], 216 ^ [])], difference(215 ^ [], 216 ^ []))],extension(89 ^ 10)).
% 180.28/174.98 ncf('1.2.1.3',plain,[-(intersection(empty_set, 215 ^ []) = intersection(difference(215 ^ [], 216 ^ []), 216 ^ [])), 83 : -(member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], intersection(empty_set, 215 ^ []))), 87 : -(member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], intersection(difference(215 ^ [], 216 ^ []), 216 ^ [])))],extension(78 ^ 5,bind([[_45990, _45992], [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.3.1',plain,[member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], intersection(empty_set, 215 ^ [])), 97 : -(member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], empty_set))],extension(93 ^ 8,bind([[_46563, _46565, _46567], [79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], 215 ^ [], empty_set]]))).
% 180.28/174.98 ncf('1.2.1.3.1.1',plain,[member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], empty_set)],extension(129 ^ 11,bind([[_47716], [79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])]]]))).
% 180.28/174.98 ncf('1.2.1.3.2',plain,[member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], intersection(difference(215 ^ [], 216 ^ []), 216 ^ [])), 97 : -(member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], difference(215 ^ [], 216 ^ [])))],extension(93 ^ 8,bind([[_46563, _46565, _46567], [79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], 216 ^ [], difference(215 ^ [], 216 ^ [])]]))).
% 180.28/174.98 ncf('1.2.1.3.2.1',plain,[member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], difference(215 ^ [], 216 ^ [])), 117 : member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], 216 ^ [])],extension(111 ^ 11,bind([[_47174, _47176, _47178], [79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], 216 ^ [], 215 ^ []]]))).
% 180.28/174.98 ncf('1.2.1.3.2.1.1',plain,[-(member(79 ^ [intersection(difference(215 ^ [], 216 ^ []), 216 ^ []), intersection(empty_set, 215 ^ [])], 216 ^ []))],extension(99 ^ 14)).
% 180.28/174.98 ncf('1.2.2',plain,[-(empty_set = empty_set), 83 : -(member(79 ^ [empty_set, empty_set], empty_set)), 87 : -(member(79 ^ [empty_set, empty_set], empty_set))],extension(78 ^ 4,bind([[_45990, _45992], [empty_set, empty_set]]))).
% 180.28/174.98 ncf('1.2.2.1',plain,[member(79 ^ [empty_set, empty_set], empty_set), empty(empty_set)],extension(203 ^ 7,bind([[_50341, _50452], [empty_set, 79 ^ [empty_set, empty_set]]]))).
% 180.28/174.98 ncf('1.2.2.1.1',plain,[-(empty(empty_set)), -(member(210 ^ [empty_set], empty_set))],extension(209 ^ 8,bind([[_50518], [empty_set]]))).
% 180.28/174.98 ncf('1.2.2.1.1.1',plain,[member(210 ^ [empty_set], empty_set)],extension(129 ^ 9,bind([[_47716], [210 ^ [empty_set]]]))).
% 180.28/174.98 ncf('1.2.2.2',plain,[member(79 ^ [empty_set, empty_set], empty_set), empty(empty_set)],extension(203 ^ 7,bind([[_50341, _50452], [empty_set, 79 ^ [empty_set, empty_set]]]))).
% 180.28/174.98 ncf('1.2.2.2.1',plain,[-(empty(empty_set)), -(member(210 ^ [empty_set], empty_set))],extension(209 ^ 8,bind([[_50518], [empty_set]]))).
% 180.28/174.98 ncf('1.2.2.2.1.1',plain,[member(210 ^ [empty_set], empty_set)],extension(129 ^ 9,bind([[_47716], [210 ^ [empty_set]]]))).
% 180.28/174.98 %-----------------------------------------------------
% 180.28/174.98 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------