TSTP Solution File: SET617+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET617+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n014.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 11:56:08 EDT 2023
% Result : Theorem 13.90s 13.79s
% Output : Proof 13.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET617+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n014.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 18:56:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 13.90/13.79
% 13.90/13.79 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 13.90/13.79 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.90/13.79 %-----------------------------------------------------
% 13.90/13.79 ncf(matrix, plain, [(186 ^ _38990) ^ [] : [symmetric_difference(184 ^ [], empty_set) = 184 ^ [], symmetric_difference(empty_set, 184 ^ []) = 184 ^ []], (88 ^ _38990) ^ [_41983, _41985] : [-(symmetric_difference(_41985, _41983) = union(difference(_41985, _41983), difference(_41983, _41985)))], (90 ^ _38990) ^ [_42075] : [-(union(_42075, empty_set) = _42075)], (92 ^ _38990) ^ [_42156] : [-(difference(_42156, empty_set) = _42156)], (94 ^ _38990) ^ [_42237] : [-(difference(empty_set, _42237) = empty_set)], (96 ^ _38990) ^ [_42317] : [member(_42317, empty_set)], (98 ^ _38990) ^ [_42453, _42455] : [_42455 = _42453, 101 ^ _38990 : [(102 ^ _38990) ^ [] : [-(subset(_42455, _42453))], (104 ^ _38990) ^ [] : [-(subset(_42453, _42455))]]], (106 ^ _38990) ^ [_42690, _42692] : [-(_42692 = _42690), subset(_42692, _42690), subset(_42690, _42692)], (116 ^ _38990) ^ [_42976, _42978] : [-(union(_42978, _42976) = union(_42976, _42978))], (118 ^ _38990) ^ [_43076, _43078] : [-(symmetric_difference(_43078, _43076) = symmetric_difference(_43076, _43078))], (136 ^ _38990) ^ [_43737, _43739] : [-(_43739 = _43737), 140 ^ _38990 : [(141 ^ _38990) ^ [] : [-(member(137 ^ [_43737, _43739], _43739))], (143 ^ _38990) ^ [] : [member(137 ^ [_43737, _43739], _43737)]], 144 ^ _38990 : [(145 ^ _38990) ^ [] : [-(member(137 ^ [_43737, _43739], _43737))], (147 ^ _38990) ^ [] : [member(137 ^ [_43737, _43739], _43739)]]], (120 ^ _38990) ^ [_43220, _43222] : [_43222 = _43220, 123 ^ _38990 : [(124 ^ _38990) ^ [_43386] : [member(_43386, _43222), -(member(_43386, _43220))], (130 ^ _38990) ^ [_43558] : [member(_43558, _43220), -(member(_43558, _43222))]]], (170 ^ _38990) ^ [_44940] : [-(subset(_44940, _44940))], (172 ^ _38990) ^ [_45042] : [empty(_45042), 175 ^ _38990 : [(176 ^ _38990) ^ [_45153] : [member(_45153, _45042)]]], (178 ^ _38990) ^ [_45219] : [-(member(179 ^ [_45219], _45219)), -(empty(_45219))], (161 ^ _38990) ^ [_44612, _44614] : [163 ^ _38990 : [(164 ^ _38990) ^ [] : [-(member(162 ^ [_44612, _44614], _44614))], (166 ^ _38990) ^ [] : [member(162 ^ [_44612, _44614], _44612)]], -(subset(_44614, _44612))], (151 ^ _38990) ^ [_44298, _44300] : [subset(_44300, _44298), 154 ^ _38990 : [(155 ^ _38990) ^ [_44435] : [member(_44435, _44300), -(member(_44435, _44298))]]], (58 ^ _38990) ^ [_40959, _40961, _40963, _40965] : [-(difference(_40965, _40961) = difference(_40963, _40959)), _40965 = _40963, _40961 = _40959], (68 ^ _38990) ^ [_41318, _41320, _41322, _41324] : [-(union(_41324, _41320) = union(_41322, _41318)), _41324 = _41322, _41320 = _41318], (78 ^ _38990) ^ [_41657, _41659, _41661, _41663] : [-(symmetric_difference(_41663, _41659) = symmetric_difference(_41661, _41657)), _41663 = _41661, _41659 = _41657], (2 ^ _38990) ^ [_39134] : [-(_39134 = _39134)], (4 ^ _38990) ^ [_39241, _39243] : [_39243 = _39241, -(_39241 = _39243)], (10 ^ _38990) ^ [_39445, _39447, _39449] : [-(_39449 = _39445), _39449 = _39447, _39447 = _39445], (20 ^ _38990) ^ [_39786, _39788, _39790, _39792] : [-(subset(_39790, _39786)), subset(_39792, _39788), _39792 = _39790, _39788 = _39786], (34 ^ _38990) ^ [_40202, _40204] : [-(empty(_40202)), _40204 = _40202, empty(_40204)], (44 ^ _38990) ^ [_40505, _40507, _40509, _40511] : [-(member(_40509, _40505)), member(_40511, _40507), _40511 = _40509, _40507 = _40505]], input).
% 13.90/13.79 ncf('1',plain,[symmetric_difference(184 ^ [], empty_set) = 184 ^ [], symmetric_difference(empty_set, 184 ^ []) = 184 ^ []],start(186 ^ 0)).
% 13.90/13.79 ncf('1.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = 184 ^ []), subset(symmetric_difference(184 ^ [], empty_set), 184 ^ []), subset(184 ^ [], symmetric_difference(184 ^ [], empty_set))],extension(106 ^ 1,bind([[_42690, _42692], [184 ^ [], symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.1',plain,[-(subset(symmetric_difference(184 ^ [], empty_set), 184 ^ [])), 184 ^ [] = symmetric_difference(184 ^ [], empty_set)],extension(98 ^ 2,bind([[_42453, _42455], [symmetric_difference(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.1.1',plain,[-(184 ^ [] = symmetric_difference(184 ^ [], empty_set)), 184 ^ [] = union(184 ^ [], empty_set), union(184 ^ [], empty_set) = symmetric_difference(184 ^ [], empty_set)],extension(10 ^ 3,bind([[_39445, _39447, _39449], [symmetric_difference(184 ^ [], empty_set), union(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.1.1.1',plain,[-(184 ^ [] = union(184 ^ [], empty_set)), subset(184 ^ [], union(184 ^ [], empty_set)), subset(union(184 ^ [], empty_set), 184 ^ [])],extension(106 ^ 4,bind([[_42690, _42692], [union(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.1.1.1.1',plain,[-(subset(184 ^ [], union(184 ^ [], empty_set))), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 5,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.1.1.1.1.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 6,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.1.1.1.1.2',plain,[-(subset(union(184 ^ [], empty_set), 184 ^ [])), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 5,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.1.1.1.2.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 6,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.1.1.1.2',plain,[-(union(184 ^ [], empty_set) = symmetric_difference(184 ^ [], empty_set)), symmetric_difference(184 ^ [], empty_set) = union(184 ^ [], empty_set)],extension(4 ^ 4,bind([[_39241, _39243], [union(184 ^ [], empty_set), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.1.1.2.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(184 ^ [], empty_set)), symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = union(184 ^ [], empty_set)],extension(10 ^ 5,bind([[_39445, _39447, _39449], [union(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.1.1.2.1.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))],extension(88 ^ 6,bind([[_41983, _41985], [empty_set, 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.1.1.2.1.2',plain,[-(union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = union(184 ^ [], empty_set)), difference(184 ^ [], empty_set) = 184 ^ [], difference(empty_set, 184 ^ []) = empty_set],extension(68 ^ 6,bind([[_41318, _41320, _41322, _41324], [empty_set, difference(empty_set, 184 ^ []), 184 ^ [], difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.1.1.2.1.2.1',plain,[-(difference(184 ^ [], empty_set) = 184 ^ [])],extension(92 ^ 7,bind([[_42156], [184 ^ []]]))).
% 13.90/13.79 ncf('1.1.1.1.2.1.2.2',plain,[-(difference(empty_set, 184 ^ []) = empty_set)],extension(94 ^ 7,bind([[_42237], [184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2',plain,[-(subset(184 ^ [], symmetric_difference(184 ^ [], empty_set))), 184 ^ [] = symmetric_difference(184 ^ [], empty_set)],extension(98 ^ 2,bind([[_42453, _42455], [symmetric_difference(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2.1',plain,[-(184 ^ [] = symmetric_difference(184 ^ [], empty_set)), 184 ^ [] = union(184 ^ [], empty_set), union(184 ^ [], empty_set) = symmetric_difference(184 ^ [], empty_set)],extension(10 ^ 3,bind([[_39445, _39447, _39449], [symmetric_difference(184 ^ [], empty_set), union(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2.1.1',plain,[-(184 ^ [] = union(184 ^ [], empty_set)), subset(184 ^ [], union(184 ^ [], empty_set)), subset(union(184 ^ [], empty_set), 184 ^ [])],extension(106 ^ 4,bind([[_42690, _42692], [union(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2.1.1.1',plain,[-(subset(184 ^ [], union(184 ^ [], empty_set))), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 5,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.2.1.1.1.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 6,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2.1.1.2',plain,[-(subset(union(184 ^ [], empty_set), 184 ^ [])), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 5,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.2.1.1.2.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 6,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2.1.2',plain,[-(union(184 ^ [], empty_set) = symmetric_difference(184 ^ [], empty_set)), symmetric_difference(184 ^ [], empty_set) = union(184 ^ [], empty_set)],extension(4 ^ 4,bind([[_39241, _39243], [union(184 ^ [], empty_set), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.2.1.2.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(184 ^ [], empty_set)), symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = union(184 ^ [], empty_set)],extension(10 ^ 5,bind([[_39445, _39447, _39449], [union(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.2.1.2.1.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))],extension(88 ^ 6,bind([[_41983, _41985], [empty_set, 184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2.1.2.1.2',plain,[-(union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = union(184 ^ [], empty_set)), difference(184 ^ [], empty_set) = 184 ^ [], difference(empty_set, 184 ^ []) = empty_set],extension(68 ^ 6,bind([[_41318, _41320, _41322, _41324], [empty_set, difference(empty_set, 184 ^ []), 184 ^ [], difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.1.2.1.2.1.2.1',plain,[-(difference(184 ^ [], empty_set) = 184 ^ [])],extension(92 ^ 7,bind([[_42156], [184 ^ []]]))).
% 13.90/13.79 ncf('1.1.2.1.2.1.2.2',plain,[-(difference(empty_set, 184 ^ []) = empty_set)],extension(94 ^ 7,bind([[_42237], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2',plain,[-(symmetric_difference(empty_set, 184 ^ []) = 184 ^ []), subset(symmetric_difference(empty_set, 184 ^ []), 184 ^ []), subset(184 ^ [], symmetric_difference(empty_set, 184 ^ []))],extension(106 ^ 1,bind([[_42690, _42692], [184 ^ [], symmetric_difference(empty_set, 184 ^ [])]]))).
% 13.90/13.79 ncf('1.2.1',plain,[-(subset(symmetric_difference(empty_set, 184 ^ []), 184 ^ [])), subset(symmetric_difference(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))), symmetric_difference(184 ^ [], empty_set) = symmetric_difference(empty_set, 184 ^ []), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = 184 ^ []],extension(20 ^ 2,bind([[_39786, _39788, _39790, _39792], [184 ^ [], union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), symmetric_difference(empty_set, 184 ^ []), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.1.1',plain,[-(subset(symmetric_difference(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))), symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))],extension(98 ^ 3,bind([[_42453, _42455], [union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.1.1.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))],extension(88 ^ 4,bind([[_41983, _41985], [empty_set, 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.2',plain,[-(symmetric_difference(184 ^ [], empty_set) = symmetric_difference(empty_set, 184 ^ [])), subset(symmetric_difference(184 ^ [], empty_set), symmetric_difference(empty_set, 184 ^ [])), subset(symmetric_difference(empty_set, 184 ^ []), symmetric_difference(184 ^ [], empty_set))],extension(106 ^ 3,bind([[_42690, _42692], [symmetric_difference(empty_set, 184 ^ []), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.1.2.1',plain,[-(subset(symmetric_difference(184 ^ [], empty_set), symmetric_difference(empty_set, 184 ^ []))), symmetric_difference(empty_set, 184 ^ []) = symmetric_difference(184 ^ [], empty_set)],extension(98 ^ 4,bind([[_42453, _42455], [symmetric_difference(184 ^ [], empty_set), symmetric_difference(empty_set, 184 ^ [])]]))).
% 13.90/13.79 ncf('1.2.1.2.1.1',plain,[-(symmetric_difference(empty_set, 184 ^ []) = symmetric_difference(184 ^ [], empty_set))],extension(118 ^ 5,bind([[_43076, _43078], [184 ^ [], empty_set]]))).
% 13.90/13.79 ncf('1.2.1.2.2',plain,[-(subset(symmetric_difference(empty_set, 184 ^ []), symmetric_difference(184 ^ [], empty_set))), symmetric_difference(empty_set, 184 ^ []) = symmetric_difference(184 ^ [], empty_set)],extension(98 ^ 4,bind([[_42453, _42455], [symmetric_difference(184 ^ [], empty_set), symmetric_difference(empty_set, 184 ^ [])]]))).
% 13.90/13.79 ncf('1.2.1.2.2.1',plain,[-(symmetric_difference(empty_set, 184 ^ []) = symmetric_difference(184 ^ [], empty_set))],extension(118 ^ 5,bind([[_43076, _43078], [184 ^ [], empty_set]]))).
% 13.90/13.79 ncf('1.2.1.3',plain,[-(union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = 184 ^ []), 184 ^ [] = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))],extension(4 ^ 3,bind([[_39241, _39243], [union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.3.1',plain,[-(184 ^ [] = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))), 184 ^ [] = union(184 ^ [], empty_set), union(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))],extension(10 ^ 4,bind([[_39445, _39447, _39449], [union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), union(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.3.1.1',plain,[-(184 ^ [] = union(184 ^ [], empty_set)), subset(184 ^ [], union(184 ^ [], empty_set)), subset(union(184 ^ [], empty_set), 184 ^ [])],extension(106 ^ 5,bind([[_42690, _42692], [union(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.3.1.1.1',plain,[-(subset(184 ^ [], union(184 ^ [], empty_set))), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 6,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.1.3.1.1.1.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 7,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.3.1.1.2',plain,[-(subset(union(184 ^ [], empty_set), 184 ^ [])), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 6,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.1.3.1.1.2.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 7,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.3.1.2',plain,[-(union(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))), 184 ^ [] = difference(184 ^ [], empty_set), empty_set = difference(empty_set, 184 ^ [])],extension(68 ^ 5,bind([[_41318, _41320, _41322, _41324], [difference(empty_set, 184 ^ []), empty_set, difference(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.3.1.2.1',plain,[-(184 ^ [] = difference(184 ^ [], empty_set)), difference(184 ^ [], empty_set) = 184 ^ []],extension(4 ^ 6,bind([[_39241, _39243], [184 ^ [], difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.1.3.1.2.1.1',plain,[-(difference(184 ^ [], empty_set) = 184 ^ [])],extension(92 ^ 7,bind([[_42156], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.1.3.1.2.2',plain,[-(empty_set = difference(empty_set, 184 ^ [])), difference(empty_set, 184 ^ []) = empty_set],extension(4 ^ 6,bind([[_39241, _39243], [empty_set, difference(empty_set, 184 ^ [])]]))).
% 13.90/13.79 ncf('1.2.1.3.1.2.2.1',plain,[-(difference(empty_set, 184 ^ []) = empty_set)],extension(94 ^ 7,bind([[_42237], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2',plain,[-(subset(184 ^ [], symmetric_difference(empty_set, 184 ^ []))), 166 : member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], symmetric_difference(empty_set, 184 ^ []))],extension(161 ^ 2,bind([[_44612, _44614], [symmetric_difference(empty_set, 184 ^ []), 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1',plain,[-(member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], symmetric_difference(empty_set, 184 ^ []))), 155 : member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], union(184 ^ [], empty_set)), 155 : subset(union(184 ^ [], empty_set), symmetric_difference(empty_set, 184 ^ []))],extension(151 ^ 5,bind([[_44298, _44300, _44435], [symmetric_difference(empty_set, 184 ^ []), union(184 ^ [], empty_set), 162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []]]]))).
% 13.90/13.79 ncf('1.2.2.1.1',plain,[-(member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], union(184 ^ [], empty_set))), 124 : member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], 184 ^ []), 124 : 184 ^ [] = union(184 ^ [], empty_set)],extension(120 ^ 8,bind([[_43220, _43222, _43386], [union(184 ^ [], empty_set), 184 ^ [], 162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []]]]))).
% 13.90/13.79 ncf('1.2.2.1.1.1',plain,[-(member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], 184 ^ [])), 124 : member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], 184 ^ []), 124 : 184 ^ [] = 184 ^ []],extension(120 ^ 11,bind([[_43220, _43222, _43386], [184 ^ [], 184 ^ [], 162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []]]]))).
% 13.90/13.79 ncf('1.2.2.1.1.1.1',plain,[-(member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], 184 ^ [])), 124 : member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], 184 ^ []), 124 : 184 ^ [] = 184 ^ []],extension(120 ^ 14,bind([[_43220, _43222, _43386], [184 ^ [], 184 ^ [], 162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []]]]))).
% 13.90/13.79 ncf('1.2.2.1.1.1.1.1',plain,[-(member(162 ^ [symmetric_difference(empty_set, 184 ^ []), 184 ^ []], 184 ^ []))],extension(164 ^ 17)).
% 13.90/13.79 ncf('1.2.2.1.1.1.1.2',plain,[-(184 ^ [] = 184 ^ [])],extension(2 ^ 15,bind([[_39134], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.1.1.2',plain,[-(184 ^ [] = 184 ^ []), subset(184 ^ [], 184 ^ []), subset(184 ^ [], 184 ^ [])],extension(106 ^ 12,bind([[_42690, _42692], [184 ^ [], 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.1.1.2.1',plain,[-(subset(184 ^ [], 184 ^ []))],extension(170 ^ 13,bind([[_44940], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.1.1.2.2',plain,[-(subset(184 ^ [], 184 ^ []))],lemmata('[1, 1, 1, 2, 2, 1].x')).
% 13.90/13.79 ncf('1.2.2.1.1.2',plain,[-(184 ^ [] = union(184 ^ [], empty_set)), subset(184 ^ [], union(184 ^ [], empty_set)), subset(union(184 ^ [], empty_set), 184 ^ [])],extension(106 ^ 9,bind([[_42690, _42692], [union(184 ^ [], empty_set), 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.1.2.1',plain,[-(subset(184 ^ [], union(184 ^ [], empty_set))), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 10,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.2.1.1.2.1.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 11,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.1.2.2',plain,[-(subset(union(184 ^ [], empty_set), 184 ^ [])), union(184 ^ [], empty_set) = 184 ^ []],extension(98 ^ 10,bind([[_42453, _42455], [184 ^ [], union(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.2.1.1.2.2.1',plain,[-(union(184 ^ [], empty_set) = 184 ^ [])],extension(90 ^ 11,bind([[_42075], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.2',plain,[-(subset(union(184 ^ [], empty_set), symmetric_difference(empty_set, 184 ^ []))), subset(symmetric_difference(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))), symmetric_difference(184 ^ [], empty_set) = union(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = symmetric_difference(empty_set, 184 ^ [])],extension(20 ^ 6,bind([[_39786, _39788, _39790, _39792], [symmetric_difference(empty_set, 184 ^ []), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), union(184 ^ [], empty_set), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.2.1.2.1',plain,[-(subset(symmetric_difference(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))), symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))],extension(98 ^ 7,bind([[_42453, _42455], [union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.2.1.2.1.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))],extension(88 ^ 8,bind([[_41983, _41985], [empty_set, 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.2.2',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(184 ^ [], empty_set)), symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = union(184 ^ [], empty_set)],extension(10 ^ 7,bind([[_39445, _39447, _39449], [union(184 ^ [], empty_set), union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), symmetric_difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.2.1.2.2.1',plain,[-(symmetric_difference(184 ^ [], empty_set) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))],extension(88 ^ 8,bind([[_41983, _41985], [empty_set, 184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.2.2.2',plain,[-(union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = union(184 ^ [], empty_set)), difference(184 ^ [], empty_set) = 184 ^ [], difference(empty_set, 184 ^ []) = empty_set],extension(68 ^ 8,bind([[_41318, _41320, _41322, _41324], [empty_set, difference(empty_set, 184 ^ []), 184 ^ [], difference(184 ^ [], empty_set)]]))).
% 13.90/13.79 ncf('1.2.2.1.2.2.2.1',plain,[-(difference(184 ^ [], empty_set) = 184 ^ [])],extension(92 ^ 9,bind([[_42156], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.2.2.2.2',plain,[-(difference(empty_set, 184 ^ []) = empty_set)],extension(94 ^ 9,bind([[_42237], [184 ^ []]]))).
% 13.90/13.79 ncf('1.2.2.1.2.3',plain,[-(union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])) = symmetric_difference(empty_set, 184 ^ [])), symmetric_difference(empty_set, 184 ^ []) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))],extension(4 ^ 7,bind([[_39241, _39243], [union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), symmetric_difference(empty_set, 184 ^ [])]]))).
% 13.90/13.79 ncf('1.2.2.1.2.3.1',plain,[-(symmetric_difference(empty_set, 184 ^ []) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))), symmetric_difference(empty_set, 184 ^ []) = union(difference(empty_set, 184 ^ []), difference(184 ^ [], empty_set)), union(difference(empty_set, 184 ^ []), difference(184 ^ [], empty_set)) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ []))],extension(10 ^ 8,bind([[_39445, _39447, _39449], [union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])), union(difference(empty_set, 184 ^ []), difference(184 ^ [], empty_set)), symmetric_difference(empty_set, 184 ^ [])]]))).
% 13.90/13.79 ncf('1.2.2.1.2.3.1.1',plain,[-(symmetric_difference(empty_set, 184 ^ []) = union(difference(empty_set, 184 ^ []), difference(184 ^ [], empty_set)))],extension(88 ^ 9,bind([[_41983, _41985], [184 ^ [], empty_set]]))).
% 13.90/13.79 ncf('1.2.2.1.2.3.1.2',plain,[-(union(difference(empty_set, 184 ^ []), difference(184 ^ [], empty_set)) = union(difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])))],extension(116 ^ 9,bind([[_42976, _42978], [difference(184 ^ [], empty_set), difference(empty_set, 184 ^ [])]]))).
% 13.90/13.79 %-----------------------------------------------------
% 13.90/13.79 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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