TSTP Solution File: SEU173+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU173+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 12:02:31 EDT 2023
% Result : Theorem 43.22s 42.72s
% Output : Proof 43.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU173+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n025.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 13:19:33 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.22/42.72
% 43.22/42.72 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.22/42.72 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/42.72 %-----------------------------------------------------
% 43.22/42.72 ncf(matrix, plain, [(237 ^ _42785) ^ [_42864] : [in(_42864, 234 ^ []), -(in(_42864, 235 ^ []))], (243 ^ _42785) ^ [] : [element(234 ^ [], powerset(235 ^ []))], !, (78 ^ _35161) ^ [_37728, _37730] : [in(_37730, _37728), in(_37728, _37730)], (201 ^ _35161) ^ [] : [-(empty(199 ^ []))], (209 ^ _35161) ^ [] : [empty(207 ^ [])], (219 ^ _35161) ^ [_42219, _42221] : [in(_42221, _42219), empty(_42219)], (206 ^ _35161) ^ [_41734] : [-(empty(202 ^ [_41734]))], (115 ^ _35161) ^ [_39045, _39047] : [-(empty(_39047)), 118 ^ _35161 : [(125 ^ _35161) ^ [] : [in(_39045, _39047), -(element(_39045, _39047))], (119 ^ _35161) ^ [] : [element(_39045, _39047), -(in(_39045, _39047))]]], (225 ^ _35161) ^ [_42406, _42408] : [empty(_42408), -(_42408 = _42406), empty(_42406)], (157 ^ _35161) ^ [_40258, _40260] : [159 ^ _35161 : [(162 ^ _35161) ^ [] : [in(158 ^ [_40258, _40260], _40258)], (160 ^ _35161) ^ [] : [-(in(158 ^ [_40258, _40260], _40260))]], -(subset(_40260, _40258))], (84 ^ _35161) ^ [_37968, _37970] : [_37968 = powerset(_37970), 87 ^ _35161 : [(94 ^ _35161) ^ [_38310] : [subset(_38310, _37970), -(in(_38310, _37968))], (88 ^ _35161) ^ [_38138] : [in(_38138, _37968), -(subset(_38138, _37970))]]], (213 ^ _35161) ^ [_42017] : [empty(_42017), -(_42017 = empty_set)], (172 ^ _35161) ^ [] : [true___, -(true___)], (44 ^ _35161) ^ [_36676, _36678, _36680, _36682] : [-(in(_36680, _36676)), in(_36682, _36678), _36682 = _36680, _36678 = _36676], (185 ^ _35161) ^ [_40982] : [-(element(183 ^ [_40982], _40982))], (100 ^ _35161) ^ [_38489, _38491] : [-(_38489 = powerset(_38491)), 104 ^ _35161 : [(107 ^ _35161) ^ [] : [subset(101 ^ [_38489, _38491], _38491)], (105 ^ _35161) ^ [] : [-(in(101 ^ [_38489, _38491], _38489))]], 108 ^ _35161 : [(111 ^ _35161) ^ [] : [in(101 ^ [_38489, _38491], _38489)], (109 ^ _35161) ^ [] : [-(subset(101 ^ [_38489, _38491], _38491))]]], (178 ^ _35161) ^ [] : [true___, -(true___)], (147 ^ _35161) ^ [_39944, _39946] : [subset(_39946, _39944), 150 ^ _35161 : [(151 ^ _35161) ^ [_40081] : [in(_40081, _39946), -(in(_40081, _39944))]]], (34 ^ _35161) ^ [_36353, _36355] : [-(empty(_36353)), _36355 = _36353, empty(_36355)], (72 ^ _35161) ^ [_37508, _37510] : [_37510 = _37508, -(powerset(_37510) = powerset(_37508))], (189 ^ _35161) ^ [] : [-(empty(empty_set))], (20 ^ _35161) ^ [_35937, _35939, _35941, _35943] : [-(subset(_35941, _35937)), subset(_35943, _35939), _35943 = _35941, _35939 = _35937], (211 ^ _35161) ^ [_41922, _41924] : [-(subset(_41924, _41924))], (58 ^ _35161) ^ [_37100, _37102, _37104, _37106] : [-(element(_37104, _37100)), element(_37106, _37102), _37106 = _37104, _37102 = _37100], (166 ^ _35161) ^ [] : [true___, -(true___)], (4 ^ _35161) ^ [_35392, _35394] : [_35394 = _35392, -(_35392 = _35394)], (191 ^ _35161) ^ [_41211] : [-(empty(_41211)), 195 ^ _35161 : [(198 ^ _35161) ^ [] : [empty(194 ^ [_41211])], (196 ^ _35161) ^ [] : [-(element(194 ^ [_41211], powerset(_41211)))]]], (131 ^ _35161) ^ [_39458, _39460] : [empty(_39460), 134 ^ _35161 : [(141 ^ _35161) ^ [] : [empty(_39458), -(element(_39458, _39460))], (135 ^ _35161) ^ [] : [element(_39458, _39460), -(empty(_39458))]]], (10 ^ _35161) ^ [_35596, _35598, _35600] : [-(_35600 = _35596), _35600 = _35598, _35598 = _35596], (204 ^ _35161) ^ [_41683] : [-(element(202 ^ [_41683], powerset(_41683)))], (187 ^ _35161) ^ [_41064] : [empty(powerset(_41064))], (2 ^ _35161) ^ [_35285] : [-(_35285 = _35285)]], input).
% 43.22/42.72 ncf('1',plain,[element(234 ^ [], powerset(235 ^ []))],start(243 ^ 0)).
% 43.22/42.72 ncf('1.1',plain,[-(element(234 ^ [], powerset(235 ^ []))), 125 : in(234 ^ [], powerset(235 ^ [])), 125 : -(empty(powerset(235 ^ [])))],extension(115 ^ 1,bind([[_39045, _39047], [234 ^ [], powerset(235 ^ [])]]))).
% 43.22/42.72 ncf('1.1.1',plain,[-(in(234 ^ [], powerset(235 ^ []))), 94 : subset(234 ^ [], 235 ^ []), 94 : powerset(235 ^ []) = powerset(235 ^ [])],extension(84 ^ 4,bind([[_37968, _37970, _38310], [powerset(235 ^ []), 235 ^ [], 234 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.1',plain,[-(subset(234 ^ [], 235 ^ [])), 162 : in(158 ^ [235 ^ [], 234 ^ []], 235 ^ [])],extension(157 ^ 7,bind([[_40258, _40260], [235 ^ [], 234 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.1.1',plain,[-(in(158 ^ [235 ^ [], 234 ^ []], 235 ^ [])), in(158 ^ [235 ^ [], 234 ^ []], 234 ^ [])],extension(237 ^ 10,bind([[_42864], [158 ^ [235 ^ [], 234 ^ []]]]))).
% 43.22/42.72 ncf('1.1.1.1.1.1',plain,[-(in(158 ^ [235 ^ [], 234 ^ []], 234 ^ []))],extension(160 ^ 11)).
% 43.22/42.72 ncf('1.1.1.2',plain,[-(powerset(235 ^ []) = powerset(235 ^ [])), 235 ^ [] = 235 ^ []],extension(72 ^ 5,bind([[_37508, _37510], [235 ^ [], 235 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.2.1',plain,[-(235 ^ [] = 235 ^ [])],extension(2 ^ 6,bind([[_35285], [235 ^ []]]))).
% 43.22/42.72 ncf('1.1.2',plain,[empty(powerset(235 ^ [])), in(158 ^ [235 ^ [], powerset(235 ^ [])], powerset(235 ^ []))],extension(219 ^ 2,bind([[_42219, _42221], [powerset(235 ^ []), 158 ^ [235 ^ [], powerset(235 ^ [])]]]))).
% 43.22/42.72 ncf('1.1.2.1',plain,[-(in(158 ^ [235 ^ [], powerset(235 ^ [])], powerset(235 ^ []))), -(subset(powerset(235 ^ []), 235 ^ []))],extension(157 ^ 3,bind([[_40258, _40260], [235 ^ [], powerset(235 ^ [])]]))).
% 43.22/42.72 ncf('1.1.2.1.1',plain,[subset(powerset(235 ^ []), 235 ^ []), 94 : -(in(powerset(235 ^ []), powerset(235 ^ []))), 94 : powerset(235 ^ []) = powerset(235 ^ [])],extension(84 ^ 4,bind([[_37968, _37970, _38310], [powerset(235 ^ []), 235 ^ [], powerset(235 ^ [])]]))).
% 43.22/42.72 ncf('1.1.2.1.1.1',plain,[in(powerset(235 ^ []), powerset(235 ^ [])), in(powerset(235 ^ []), powerset(235 ^ []))],extension(78 ^ 7,bind([[_37728, _37730], [powerset(235 ^ []), powerset(235 ^ [])]]))).
% 43.22/42.72 ncf('1.1.2.1.1.1.1',plain,[-(in(powerset(235 ^ []), powerset(235 ^ [])))],reduction('1.1.2.1.1')).
% 43.22/42.72 ncf('1.1.2.1.1.2',plain,[-(powerset(235 ^ []) = powerset(235 ^ [])), empty(powerset(235 ^ [])), empty(powerset(235 ^ []))],extension(225 ^ 5,bind([[_42406, _42408], [powerset(235 ^ []), powerset(235 ^ [])]]))).
% 43.22/42.72 ncf('1.1.2.1.1.2.1',plain,[-(empty(powerset(235 ^ [])))],reduction('1.1')).
% 43.22/42.72 ncf('1.1.2.1.1.2.2',plain,[-(empty(powerset(235 ^ [])))],reduction('1.1')).
% 43.22/42.72 %-----------------------------------------------------
% 43.22/42.72 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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