TSTP Solution File: SET169+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET169+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 11:55:31 EDT 2023
% Result : Theorem 1.42s 2.44s
% Output : Proof 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET169+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:02:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 1.42/2.44
% 1.42/2.44 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.42/2.44 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/2.44 %-----------------------------------------------------
% 1.42/2.44 ncf(matrix, plain, [(181 ^ _30831) ^ [] : [intersection(177 ^ [], union(178 ^ [], 179 ^ [])) = union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))], (48 ^ _30831) ^ [_32503, _32505, _32507, _32509] : [-(union(_32509, _32505) = union(_32507, _32503)), _32509 = _32507, _32505 = _32503], (58 ^ _30831) ^ [_32842, _32844, _32846, _32848] : [-(intersection(_32848, _32844) = intersection(_32846, _32842)), _32848 = _32846, _32844 = _32842], (2 ^ _30831) ^ [_30975] : [-(_30975 = _30975)], (4 ^ _30831) ^ [_31082, _31084] : [_31084 = _31082, -(_31082 = _31084)], (10 ^ _30831) ^ [_31286, _31288, _31290] : [-(_31290 = _31286), _31290 = _31288, _31288 = _31286], (20 ^ _30831) ^ [_31627, _31629, _31631, _31633] : [-(subset(_31631, _31627)), subset(_31633, _31629), _31633 = _31631, _31629 = _31627], (34 ^ _30831) ^ [_32051, _32053, _32055, _32057] : [-(member(_32055, _32051)), member(_32057, _32053), _32057 = _32055, _32053 = _32051], (78 ^ _30831) ^ [_33490, _33492, _33494] : [79 ^ _30831 : [(80 ^ _30831) ^ [] : [member(_33490, _33494)], (82 ^ _30831) ^ [] : [member(_33490, _33492)]], -(member(_33490, union(_33494, _33492)))], (68 ^ _30831) ^ [_33222, _33224, _33226] : [member(_33222, union(_33226, _33224)), -(member(_33222, _33226)), -(member(_33222, _33224))], (86 ^ _30831) ^ [_33833, _33835, _33837] : [member(_33833, intersection(_33837, _33835)), 89 ^ _30831 : [(90 ^ _30831) ^ [] : [-(member(_33833, _33837))], (92 ^ _30831) ^ [] : [-(member(_33833, _33835))]]], (94 ^ _30831) ^ [_34084, _34086, _34088] : [-(member(_34084, intersection(_34088, _34086))), member(_34084, _34088), member(_34084, _34086)], (104 ^ _30831) ^ [_34430, _34432] : [_34432 = _34430, 107 ^ _30831 : [(108 ^ _30831) ^ [] : [-(subset(_34432, _34430))], (110 ^ _30831) ^ [] : [-(subset(_34430, _34432))]]], (112 ^ _30831) ^ [_34667, _34669] : [-(_34669 = _34667), subset(_34669, _34667), subset(_34667, _34669)], (122 ^ _30831) ^ [_34953, _34955] : [-(union(_34955, _34953) = union(_34953, _34955))], (124 ^ _30831) ^ [_35053, _35055] : [-(intersection(_35055, _35053) = intersection(_35053, _35055))], (136 ^ _30831) ^ [_35511, _35513] : [138 ^ _30831 : [(139 ^ _30831) ^ [] : [-(member(137 ^ [_35511, _35513], _35513))], (141 ^ _30831) ^ [] : [member(137 ^ [_35511, _35513], _35511)]], -(subset(_35513, _35511))], (126 ^ _30831) ^ [_35197, _35199] : [subset(_35199, _35197), 129 ^ _30831 : [(130 ^ _30831) ^ [_35334] : [member(_35334, _35199), -(member(_35334, _35197))]]], (145 ^ _30831) ^ [_35839] : [-(subset(_35839, _35839))], (163 ^ _30831) ^ [_36472, _36474] : [-(_36474 = _36472), 167 ^ _30831 : [(168 ^ _30831) ^ [] : [-(member(164 ^ [_36472, _36474], _36474))], (170 ^ _30831) ^ [] : [member(164 ^ [_36472, _36474], _36472)]], 171 ^ _30831 : [(172 ^ _30831) ^ [] : [-(member(164 ^ [_36472, _36474], _36472))], (174 ^ _30831) ^ [] : [member(164 ^ [_36472, _36474], _36474)]]], (147 ^ _30831) ^ [_35955, _35957] : [_35957 = _35955, 150 ^ _30831 : [(151 ^ _30831) ^ [_36121] : [member(_36121, _35957), -(member(_36121, _35955))], (157 ^ _30831) ^ [_36293] : [member(_36293, _35955), -(member(_36293, _35957))]]]], input).
% 1.42/2.44 ncf('1',plain,[intersection(177 ^ [], union(178 ^ [], 179 ^ [])) = union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))],start(181 ^ 0)).
% 1.42/2.44 ncf('1.1',plain,[-(intersection(177 ^ [], union(178 ^ [], 179 ^ [])) = union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))), 168 : -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], union(178 ^ [], 179 ^ [])))), 172 : -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))))],extension(163 ^ 1,bind([[_36472, _36474], [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))]]))).
% 1.42/2.44 ncf('1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], union(178 ^ [], 179 ^ []))), 92 : -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(178 ^ [], 179 ^ [])))],extension(86 ^ 4,bind([[_33833, _33835, _33837], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(178 ^ [], 179 ^ []), 177 ^ []]]))).
% 1.42/2.44 ncf('1.1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(178 ^ [], 179 ^ [])), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 178 ^ [])), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ []))],extension(68 ^ 7,bind([[_33222, _33224, _33226], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ [], 178 ^ []]]))).
% 1.42/2.44 ncf('1.1.1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 178 ^ []), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 178 ^ []))), member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ [])],extension(94 ^ 8,bind([[_34084, _34086, _34088], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 178 ^ [], 177 ^ []]]))).
% 1.42/2.44 ncf('1.1.1.1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 178 ^ [])), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))))],extension(78 ^ 9,bind([[_33490, _33492, _33494], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 179 ^ []), intersection(177 ^ [], 178 ^ [])]]))).
% 1.42/2.44 ncf('1.1.1.1.1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])))],extension(170 ^ 10)).
% 1.42/2.44 ncf('1.1.1.1.1.2',plain,[-(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ []))],extension(90 ^ 9)).
% 1.42/2.44 ncf('1.1.1.1.2',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ []), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 179 ^ []))), member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ [])],extension(94 ^ 8,bind([[_34084, _34086, _34088], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ [], 177 ^ []]]))).
% 1.42/2.44 ncf('1.1.1.1.2.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 179 ^ [])), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))))],extension(78 ^ 9,bind([[_33490, _33492, _33494], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 179 ^ []), intersection(177 ^ [], 178 ^ [])]]))).
% 1.42/2.44 ncf('1.1.1.1.2.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])))],extension(170 ^ 10)).
% 1.42/2.44 ncf('1.1.1.1.2.2',plain,[-(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ []))],extension(90 ^ 9)).
% 1.42/2.44 ncf('1.1.2',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 178 ^ []))), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 179 ^ [])))],extension(68 ^ 4,bind([[_33222, _33224, _33226], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 179 ^ []), intersection(177 ^ [], 178 ^ [])]]))).
% 1.42/2.44 ncf('1.1.2.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 178 ^ [])), 90 : -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ []))],extension(86 ^ 5,bind([[_33833, _33835, _33837], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 178 ^ [], 177 ^ []]]))).
% 1.42/2.44 ncf('1.1.2.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ []), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(union(178 ^ [], 179 ^ []), 177 ^ []))), member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(178 ^ [], 179 ^ []))],extension(94 ^ 8,bind([[_34084, _34086, _34088], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ [], union(178 ^ [], 179 ^ [])]]))).
% 1.42/2.44 ncf('1.1.2.1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(union(178 ^ [], 179 ^ []), 177 ^ [])), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], union(178 ^ [], 179 ^ [])))), 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))] = 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(union(178 ^ [], 179 ^ []), 177 ^ []) = intersection(177 ^ [], union(178 ^ [], 179 ^ []))],extension(34 ^ 9,bind([[_32051, _32053, _32055, _32057], [intersection(177 ^ [], union(178 ^ [], 179 ^ [])), intersection(union(178 ^ [], 179 ^ []), 177 ^ []), 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))]]]))).
% 1.42/2.44 ncf('1.1.2.1.1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], union(178 ^ [], 179 ^ [])))],extension(174 ^ 10)).
% 1.42/2.44 ncf('1.1.2.1.1.1.2',plain,[-(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))] = 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))])],extension(2 ^ 10,bind([[_30975], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))]]]))).
% 1.42/2.44 ncf('1.1.2.1.1.1.3',plain,[-(intersection(union(178 ^ [], 179 ^ []), 177 ^ []) = intersection(177 ^ [], union(178 ^ [], 179 ^ [])))],extension(124 ^ 10,bind([[_35053, _35055], [177 ^ [], union(178 ^ [], 179 ^ [])]]))).
% 1.42/2.44 ncf('1.1.2.1.1.2',plain,[-(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(178 ^ [], 179 ^ []))), 80 : member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 178 ^ [])],extension(78 ^ 9,bind([[_33490, _33492, _33494], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ [], 178 ^ []]]))).
% 1.42/2.44 ncf('1.1.2.1.1.2.1',plain,[-(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 178 ^ []))],extension(92 ^ 12)).
% 1.42/2.44 ncf('1.1.2.2',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], 179 ^ [])), 90 : -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ []))],extension(86 ^ 5,bind([[_33833, _33835, _33837], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ [], 177 ^ []]]))).
% 1.42/2.44 ncf('1.1.2.2.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ []), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(union(178 ^ [], 179 ^ []), 177 ^ []))), member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(178 ^ [], 179 ^ []))],extension(94 ^ 8,bind([[_34084, _34086, _34088], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 177 ^ [], union(178 ^ [], 179 ^ [])]]))).
% 1.42/2.44 ncf('1.1.2.2.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(union(178 ^ [], 179 ^ []), 177 ^ [])), -(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], union(178 ^ [], 179 ^ [])))), 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))] = 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(union(178 ^ [], 179 ^ []), 177 ^ []) = intersection(177 ^ [], union(178 ^ [], 179 ^ []))],extension(34 ^ 9,bind([[_32051, _32053, _32055, _32057], [intersection(177 ^ [], union(178 ^ [], 179 ^ [])), intersection(union(178 ^ [], 179 ^ []), 177 ^ []), 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))]]]))).
% 1.42/2.44 ncf('1.1.2.2.1.1.1',plain,[member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], intersection(177 ^ [], union(178 ^ [], 179 ^ [])))],extension(174 ^ 10)).
% 1.42/2.44 ncf('1.1.2.2.1.1.2',plain,[-(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))] = 164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))])],extension(2 ^ 10,bind([[_30975], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))]]]))).
% 1.42/2.44 ncf('1.1.2.2.1.1.3',plain,[-(intersection(union(178 ^ [], 179 ^ []), 177 ^ []) = intersection(177 ^ [], union(178 ^ [], 179 ^ [])))],extension(124 ^ 10,bind([[_35053, _35055], [177 ^ [], union(178 ^ [], 179 ^ [])]]))).
% 1.42/2.44 ncf('1.1.2.2.1.2',plain,[-(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], union(178 ^ [], 179 ^ []))), 82 : member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ [])],extension(78 ^ 9,bind([[_33490, _33492, _33494], [164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ [], 178 ^ []]]))).
% 1.42/2.44 ncf('1.1.2.2.1.2.1',plain,[-(member(164 ^ [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), intersection(177 ^ [], union(178 ^ [], 179 ^ []))], 179 ^ []))],extension(92 ^ 12)).
% 1.42/2.44 %-----------------------------------------------------
% 1.42/2.44 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------