TSTP Solution File: SET637+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 11:56:12 EDT 2023
% Result : Theorem 0.39s 1.38s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.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 19:41:56 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.39/1.38
% 0.39/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.39/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.38 %-----------------------------------------------------
% 0.39/1.38 ncf(matrix, plain, [(187 ^ _29075) ^ [] : [188 ^ _29075 : [(189 ^ _29075) ^ [] : [-(intersect(184 ^ [], 185 ^ []))], (191 ^ _29075) ^ [] : [not_equal(intersection(184 ^ [], 185 ^ []), empty_set)]], 192 ^ _29075 : [(193 ^ _29075) ^ [] : [-(not_equal(intersection(184 ^ [], 185 ^ []), empty_set))], (195 ^ _29075) ^ [] : [intersect(184 ^ [], 185 ^ [])]]], (72 ^ _29075) ^ [_31470, _31472, _31474, _31476] : [-(intersection(_31476, _31472) = intersection(_31474, _31470)), _31476 = _31474, _31472 = _31470], (2 ^ _29075) ^ [_29219] : [-(_29219 = _29219)], (4 ^ _29075) ^ [_29326, _29328] : [_29328 = _29326, -(_29326 = _29328)], (10 ^ _29075) ^ [_29530, _29532, _29534] : [-(_29534 = _29530), _29534 = _29532, _29532 = _29530], (20 ^ _29075) ^ [_29843, _29845] : [-(empty(_29843)), _29845 = _29843, empty(_29845)], (30 ^ _29075) ^ [_30166, _30168, _30170, _30172] : [-(member(_30170, _30166)), member(_30172, _30168), _30172 = _30170, _30168 = _30166], (44 ^ _29075) ^ [_30610, _30612, _30614, _30616] : [-(intersect(_30614, _30610)), intersect(_30616, _30612), _30616 = _30614, _30612 = _30610], (58 ^ _29075) ^ [_31034, _31036, _31038, _31040] : [-(not_equal(_31038, _31034)), not_equal(_31040, _31036), _31040 = _31038, _31036 = _31034], (82 ^ _29075) ^ [_31846, _31848, _31850] : [member(_31846, intersection(_31850, _31848)), 85 ^ _29075 : [(86 ^ _29075) ^ [] : [-(member(_31846, _31850))], (88 ^ _29075) ^ [] : [-(member(_31846, _31848))]]], (90 ^ _29075) ^ [_32097, _32099, _32101] : [-(member(_32097, intersection(_32101, _32099))), member(_32097, _32101), member(_32097, _32099)], (100 ^ _29075) ^ [_32443, _32445] : [intersect(_32445, _32443), 104 ^ _29075 : [(105 ^ _29075) ^ [] : [-(member(103 ^ [_32443, _32445], _32445))], (107 ^ _29075) ^ [] : [-(member(103 ^ [_32443, _32445], _32443))]]], (109 ^ _29075) ^ [_32750, _32752] : [-(intersect(_32752, _32750)), 110 ^ _29075 : [(111 ^ _29075) ^ [_32842] : [member(_32842, _32752), member(_32842, _32750)]]], (119 ^ _29075) ^ [_33084] : [member(_33084, empty_set)], (137 ^ _29075) ^ [_33737, _33739] : [-(_33739 = _33737), 141 ^ _29075 : [(142 ^ _29075) ^ [] : [-(member(138 ^ [_33737, _33739], _33739))], (144 ^ _29075) ^ [] : [member(138 ^ [_33737, _33739], _33737)]], 145 ^ _29075 : [(146 ^ _29075) ^ [] : [-(member(138 ^ [_33737, _33739], _33737))], (148 ^ _29075) ^ [] : [member(138 ^ [_33737, _33739], _33739)]]], (121 ^ _29075) ^ [_33220, _33222] : [_33222 = _33220, 124 ^ _29075 : [(125 ^ _29075) ^ [_33386] : [member(_33386, _33222), -(member(_33386, _33220))], (131 ^ _29075) ^ [_33558] : [member(_33558, _33220), -(member(_33558, _33222))]]], (152 ^ _29075) ^ [_34298, _34300] : [not_equal(_34300, _34298), _34300 = _34298], (158 ^ _29075) ^ [_34461, _34463] : [-(_34463 = _34461), -(not_equal(_34463, _34461))], (164 ^ _29075) ^ [_34661, _34663] : [-(intersection(_34663, _34661) = intersection(_34661, _34663))], (166 ^ _29075) ^ [_34776, _34778] : [intersect(_34778, _34776), -(intersect(_34776, _34778))], (172 ^ _29075) ^ [_34981] : [empty(_34981), 175 ^ _29075 : [(176 ^ _29075) ^ [_35092] : [member(_35092, _34981)]]], (178 ^ _29075) ^ [_35158] : [-(member(179 ^ [_35158], _35158)), -(empty(_35158))]], input).
% 0.39/1.38 ncf('1',plain,[191 : not_equal(intersection(184 ^ [], 185 ^ []), empty_set), 195 : intersect(184 ^ [], 185 ^ [])],start(187 ^ 0)).
% 0.39/1.38 ncf('1.1',plain,[-(not_equal(intersection(184 ^ [], 185 ^ []), empty_set)), -(intersection(184 ^ [], 185 ^ []) = empty_set)],extension(158 ^ 3,bind([[_34461, _34463], [empty_set, intersection(184 ^ [], 185 ^ [])]]))).
% 0.39/1.38 ncf('1.1.1',plain,[intersection(184 ^ [], 185 ^ []) = empty_set, 125 : member(103 ^ [185 ^ [], 184 ^ []], intersection(184 ^ [], 185 ^ [])), 125 : -(member(103 ^ [185 ^ [], 184 ^ []], empty_set))],extension(121 ^ 4,bind([[_33220, _33222, _33386], [empty_set, intersection(184 ^ [], 185 ^ []), 103 ^ [185 ^ [], 184 ^ []]]]))).
% 0.39/1.38 ncf('1.1.1.1',plain,[-(member(103 ^ [185 ^ [], 184 ^ []], intersection(184 ^ [], 185 ^ []))), member(103 ^ [185 ^ [], 184 ^ []], 184 ^ []), member(103 ^ [185 ^ [], 184 ^ []], 185 ^ [])],extension(90 ^ 7,bind([[_32097, _32099, _32101], [103 ^ [185 ^ [], 184 ^ []], 185 ^ [], 184 ^ []]]))).
% 0.39/1.38 ncf('1.1.1.1.1',plain,[-(member(103 ^ [185 ^ [], 184 ^ []], 184 ^ [])), intersect(184 ^ [], 185 ^ [])],extension(100 ^ 8,bind([[_32443, _32445], [185 ^ [], 184 ^ []]]))).
% 0.39/1.38 ncf('1.1.1.1.1.1',plain,[-(intersect(184 ^ [], 185 ^ []))],extension(189 ^ 9)).
% 0.39/1.38 ncf('1.1.1.1.2',plain,[-(member(103 ^ [185 ^ [], 184 ^ []], 185 ^ [])), intersect(184 ^ [], 185 ^ [])],extension(100 ^ 8,bind([[_32443, _32445], [185 ^ [], 184 ^ []]]))).
% 0.39/1.38 ncf('1.1.1.1.2.1',plain,[-(intersect(184 ^ [], 185 ^ []))],extension(189 ^ 9)).
% 0.39/1.38 ncf('1.1.1.2',plain,[member(103 ^ [185 ^ [], 184 ^ []], empty_set), -(member(103 ^ [185 ^ [], 184 ^ []], empty_set)), 103 ^ [185 ^ [], 184 ^ []] = 103 ^ [185 ^ [], 184 ^ []], empty_set = empty_set],extension(30 ^ 7,bind([[_30166, _30168, _30170, _30172], [empty_set, empty_set, 103 ^ [185 ^ [], 184 ^ []], 103 ^ [185 ^ [], 184 ^ []]]]))).
% 0.39/1.38 ncf('1.1.1.2.1',plain,[member(103 ^ [185 ^ [], 184 ^ []], empty_set)],extension(119 ^ 8,bind([[_33084], [103 ^ [185 ^ [], 184 ^ []]]]))).
% 0.39/1.38 ncf('1.1.1.2.2',plain,[-(103 ^ [185 ^ [], 184 ^ []] = 103 ^ [185 ^ [], 184 ^ []])],extension(2 ^ 8,bind([[_29219], [103 ^ [185 ^ [], 184 ^ []]]]))).
% 0.39/1.38 ncf('1.1.1.2.3',plain,[-(empty_set = empty_set)],extension(2 ^ 8,bind([[_29219], [empty_set]]))).
% 0.39/1.38 ncf('1.2',plain,[-(intersect(184 ^ [], 185 ^ [])), 111 : member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], 184 ^ []), 111 : member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], 185 ^ [])],extension(109 ^ 3,bind([[_32750, _32752, _32842], [185 ^ [], 184 ^ [], 138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])]]]))).
% 0.39/1.38 ncf('1.2.1',plain,[-(member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], 184 ^ [])), member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], intersection(184 ^ [], 185 ^ []))],extension(82 ^ 6,bind([[_31846, _31848, _31850], [138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], 185 ^ [], 184 ^ []]]))).
% 0.39/1.38 ncf('1.2.1.1',plain,[-(member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], intersection(184 ^ [], 185 ^ []))), -(intersection(184 ^ [], 185 ^ []) = empty_set), 146 : -(member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], empty_set))],extension(137 ^ 7,bind([[_33737, _33739], [empty_set, intersection(184 ^ [], 185 ^ [])]]))).
% 0.39/1.38 ncf('1.2.1.1.1',plain,[intersection(184 ^ [], 185 ^ []) = empty_set, not_equal(intersection(184 ^ [], 185 ^ []), empty_set)],extension(152 ^ 8,bind([[_34298, _34300], [empty_set, intersection(184 ^ [], 185 ^ [])]]))).
% 0.39/1.38 ncf('1.2.1.1.1.1',plain,[-(not_equal(intersection(184 ^ [], 185 ^ []), empty_set))],extension(193 ^ 9)).
% 0.39/1.38 ncf('1.2.1.1.2',plain,[member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], empty_set)],extension(119 ^ 10,bind([[_33084], [138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])]]]))).
% 0.39/1.38 ncf('1.2.2',plain,[-(member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], 185 ^ [])), member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], intersection(184 ^ [], 185 ^ []))],extension(82 ^ 6,bind([[_31846, _31848, _31850], [138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], 185 ^ [], 184 ^ []]]))).
% 0.39/1.38 ncf('1.2.2.1',plain,[-(member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], intersection(184 ^ [], 185 ^ []))), -(intersection(184 ^ [], 185 ^ []) = empty_set), 146 : -(member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], empty_set))],extension(137 ^ 7,bind([[_33737, _33739], [empty_set, intersection(184 ^ [], 185 ^ [])]]))).
% 0.39/1.38 ncf('1.2.2.1.1',plain,[intersection(184 ^ [], 185 ^ []) = empty_set, not_equal(intersection(184 ^ [], 185 ^ []), empty_set)],extension(152 ^ 8,bind([[_34298, _34300], [empty_set, intersection(184 ^ [], 185 ^ [])]]))).
% 0.39/1.38 ncf('1.2.2.1.1.1',plain,[-(not_equal(intersection(184 ^ [], 185 ^ []), empty_set))],extension(193 ^ 9)).
% 0.39/1.38 ncf('1.2.2.1.2',plain,[member(138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])], empty_set)],extension(119 ^ 10,bind([[_33084], [138 ^ [empty_set, intersection(184 ^ [], 185 ^ [])]]]))).
% 0.39/1.38 %-----------------------------------------------------
% 0.39/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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