TSTP Solution File: SEU164+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU164+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 12:02:28 EDT 2023
% Result : Theorem 0.64s 1.37s
% Output : Proof 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU164+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 12:59:15 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.64/1.37
% 0.64/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.64/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/1.37 %-----------------------------------------------------
% 0.64/1.37 ncf(matrix, plain, [(246 ^ _30181) ^ [] : [union(powerset(244 ^ [])) = 244 ^ []], (48 ^ _30181) ^ [_31825, _31827] : [_31827 = _31825, -(singleton(_31827) = singleton(_31825))], (54 ^ _30181) ^ [_32043, _32045] : [_32045 = _32043, -(union(_32045) = union(_32043))], (60 ^ _30181) ^ [_32241, _32243] : [_32243 = _32241, -(powerset(_32243) = powerset(_32241))], (2 ^ _30181) ^ [_30325] : [-(_30325 = _30325)], (4 ^ _30181) ^ [_30432, _30434] : [_30434 = _30432, -(_30432 = _30434)], (10 ^ _30181) ^ [_30636, _30638, _30640] : [-(_30640 = _30636), _30640 = _30638, _30638 = _30636], (20 ^ _30181) ^ [_30977, _30979, _30981, _30983] : [-(subset(_30981, _30977)), subset(_30983, _30979), _30983 = _30981, _30979 = _30977], (34 ^ _30181) ^ [_31401, _31403, _31405, _31407] : [-(in(_31405, _31401)), in(_31407, _31403), _31407 = _31405, _31403 = _31401], (66 ^ _30181) ^ [_32469, _32471] : [in(_32471, _32469), in(_32469, _32471)], (88 ^ _30181) ^ [_33230, _33232] : [-(_33230 = singleton(_33232)), 92 ^ _30181 : [(93 ^ _30181) ^ [] : [-(in(89 ^ [_33230, _33232], _33230))], (95 ^ _30181) ^ [] : [89 ^ [_33230, _33232] = _33232]], 96 ^ _30181 : [(97 ^ _30181) ^ [] : [-(89 ^ [_33230, _33232] = _33232)], (99 ^ _30181) ^ [] : [in(89 ^ [_33230, _33232], _33230)]]], (72 ^ _30181) ^ [_32709, _32711] : [_32709 = singleton(_32711), 75 ^ _30181 : [(76 ^ _30181) ^ [_32879] : [in(_32879, _32709), -(_32879 = _32711)], (82 ^ _30181) ^ [_33051] : [_33051 = _32711, -(in(_33051, _32709))]]], (119 ^ _30181) ^ [_34316, _34318] : [-(_34316 = powerset(_34318)), 123 ^ _30181 : [(124 ^ _30181) ^ [] : [-(in(120 ^ [_34316, _34318], _34316))], (126 ^ _30181) ^ [] : [subset(120 ^ [_34316, _34318], _34318)]], 127 ^ _30181 : [(128 ^ _30181) ^ [] : [-(subset(120 ^ [_34316, _34318], _34318))], (130 ^ _30181) ^ [] : [in(120 ^ [_34316, _34318], _34316)]]], (103 ^ _30181) ^ [_33795, _33797] : [_33795 = powerset(_33797), 106 ^ _30181 : [(107 ^ _30181) ^ [_33965] : [in(_33965, _33795), -(subset(_33965, _33797))], (113 ^ _30181) ^ [_34137] : [subset(_34137, _33797), -(in(_34137, _33795))]]], (144 ^ _30181) ^ [_35195, _35197] : [146 ^ _30181 : [(147 ^ _30181) ^ [] : [-(in(145 ^ [_35195, _35197], _35197))], (149 ^ _30181) ^ [] : [in(145 ^ [_35195, _35197], _35195)]], -(subset(_35197, _35195))], (134 ^ _30181) ^ [_34881, _34883] : [subset(_34883, _34881), 137 ^ _30181 : [(138 ^ _30181) ^ [_35018] : [in(_35018, _34883), -(in(_35018, _34881))]]], (176 ^ _30181) ^ [_36426, _36428] : [-(_36426 = union(_36428)), 189 ^ _30181 : [(190 ^ _30181) ^ [] : [-(in(177 ^ [_36426, _36428], 188 ^ [_36426, _36428]))], (192 ^ _30181) ^ [] : [-(in(188 ^ [_36426, _36428], _36428))], (194 ^ _30181) ^ [] : [in(177 ^ [_36426, _36428], _36426)]], 180 ^ _30181 : [(181 ^ _30181) ^ [] : [-(in(177 ^ [_36426, _36428], _36426))], (183 ^ _30181) ^ [_36709] : [in(177 ^ [_36426, _36428], _36709), in(_36709, _36428)]]], (153 ^ _30181) ^ [_35581, _35583] : [_35581 = union(_35583), 156 ^ _30181 : [(157 ^ _30181) ^ [_35762] : [in(_35762, _35581), 161 ^ _30181 : [(162 ^ _30181) ^ [] : [-(in(_35762, 160 ^ [_35581, _35583, _35762]))], (164 ^ _30181) ^ [] : [-(in(160 ^ [_35581, _35583, _35762], _35583))]]], (166 ^ _30181) ^ [_36089] : [-(in(_36089, _35581)), 167 ^ _30181 : [(168 ^ _30181) ^ [_36187] : [in(_36089, _36187), in(_36187, _35583)]]]]], (198 ^ _30181) ^ [] : [true___, -(true___)], (204 ^ _30181) ^ [] : [true___, -(true___)], (210 ^ _30181) ^ [] : [true___, -(true___)], (228 ^ _30181) ^ [_38026, _38028] : [-(subset(_38028, _38028))], (230 ^ _30181) ^ [_38115, _38117] : [-(_38117 = _38115), 234 ^ _30181 : [(235 ^ _30181) ^ [] : [-(in(231 ^ [_38115, _38117], _38117))], (237 ^ _30181) ^ [] : [in(231 ^ [_38115, _38117], _38115)]], 238 ^ _30181 : [(239 ^ _30181) ^ [] : [-(in(231 ^ [_38115, _38117], _38115))], (241 ^ _30181) ^ [] : [in(231 ^ [_38115, _38117], _38117)]]], (216 ^ _30181) ^ [_37659, _37661] : [subset(singleton(_37661), _37659), -(in(_37661, _37659))], (222 ^ _30181) ^ [_37825, _37827] : [in(_37827, _37825), -(subset(singleton(_37827), _37825))]], input).
% 0.64/1.37 ncf('1',plain,[union(powerset(244 ^ [])) = 244 ^ []],start(246 ^ 0)).
% 0.64/1.37 ncf('1.1',plain,[-(union(powerset(244 ^ [])) = 244 ^ []), 244 ^ [] = union(powerset(244 ^ []))],extension(4 ^ 1,bind([[_30432, _30434], [union(powerset(244 ^ [])), 244 ^ []]]))).
% 0.64/1.37 ncf('1.1.1',plain,[-(244 ^ [] = union(powerset(244 ^ []))), 194 : in(177 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ []), 181 : -(in(177 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ []))],extension(176 ^ 2,bind([[_36426, _36428], [244 ^ [], powerset(244 ^ [])]]))).
% 0.64/1.37 ncf('1.1.1.1',plain,[-(in(177 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ [])), 138 : in(177 ^ [244 ^ [], powerset(244 ^ [])], 188 ^ [244 ^ [], powerset(244 ^ [])]), 138 : subset(188 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ [])],extension(134 ^ 5,bind([[_34881, _34883, _35018], [244 ^ [], 188 ^ [244 ^ [], powerset(244 ^ [])], 177 ^ [244 ^ [], powerset(244 ^ [])]]]))).
% 0.64/1.37 ncf('1.1.1.1.1',plain,[-(in(177 ^ [244 ^ [], powerset(244 ^ [])], 188 ^ [244 ^ [], powerset(244 ^ [])])), in(177 ^ [244 ^ [], powerset(244 ^ [])], 188 ^ [244 ^ [], powerset(244 ^ [])]), 177 ^ [244 ^ [], powerset(244 ^ [])] = 177 ^ [244 ^ [], powerset(244 ^ [])], 188 ^ [244 ^ [], powerset(244 ^ [])] = 188 ^ [244 ^ [], powerset(244 ^ [])]],extension(34 ^ 8,bind([[_31401, _31403, _31405, _31407], [188 ^ [244 ^ [], powerset(244 ^ [])], 188 ^ [244 ^ [], powerset(244 ^ [])], 177 ^ [244 ^ [], powerset(244 ^ [])], 177 ^ [244 ^ [], powerset(244 ^ [])]]]))).
% 0.64/1.37 ncf('1.1.1.1.1.1',plain,[-(in(177 ^ [244 ^ [], powerset(244 ^ [])], 188 ^ [244 ^ [], powerset(244 ^ [])]))],extension(190 ^ 9)).
% 0.64/1.37 ncf('1.1.1.1.1.2',plain,[-(177 ^ [244 ^ [], powerset(244 ^ [])] = 177 ^ [244 ^ [], powerset(244 ^ [])])],extension(2 ^ 9,bind([[_30325], [177 ^ [244 ^ [], powerset(244 ^ [])]]]))).
% 0.64/1.37 ncf('1.1.1.1.1.3',plain,[-(188 ^ [244 ^ [], powerset(244 ^ [])] = 188 ^ [244 ^ [], powerset(244 ^ [])])],extension(2 ^ 9,bind([[_30325], [188 ^ [244 ^ [], powerset(244 ^ [])]]]))).
% 0.64/1.37 ncf('1.1.1.1.2',plain,[-(subset(188 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ [])), 107 : in(188 ^ [244 ^ [], powerset(244 ^ [])], powerset(244 ^ [])), 107 : powerset(244 ^ []) = powerset(244 ^ [])],extension(103 ^ 6,bind([[_33795, _33797, _33965], [powerset(244 ^ []), 244 ^ [], 188 ^ [244 ^ [], powerset(244 ^ [])]]]))).
% 0.64/1.37 ncf('1.1.1.1.2.1',plain,[-(in(188 ^ [244 ^ [], powerset(244 ^ [])], powerset(244 ^ [])))],extension(192 ^ 9)).
% 0.64/1.37 ncf('1.1.1.1.2.2',plain,[-(powerset(244 ^ []) = powerset(244 ^ []))],extension(2 ^ 7,bind([[_30325], [powerset(244 ^ [])]]))).
% 0.64/1.37 ncf('1.1.1.2',plain,[in(177 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ []), in(244 ^ [], powerset(244 ^ []))],extension(183 ^ 5,bind([[_36709], [244 ^ []]]))).
% 0.64/1.37 ncf('1.1.1.2.1',plain,[-(in(244 ^ [], powerset(244 ^ []))), 113 : subset(244 ^ [], 244 ^ []), 113 : powerset(244 ^ []) = powerset(244 ^ [])],extension(103 ^ 6,bind([[_33795, _33797, _34137], [powerset(244 ^ []), 244 ^ [], 244 ^ []]]))).
% 0.64/1.37 ncf('1.1.1.2.1.1',plain,[-(subset(244 ^ [], 244 ^ []))],extension(228 ^ 9,bind([[_38026, _38028], [_23784, 244 ^ []]]))).
% 0.64/1.37 ncf('1.1.1.2.1.2',plain,[-(powerset(244 ^ []) = powerset(244 ^ []))],extension(2 ^ 7,bind([[_30325], [powerset(244 ^ [])]]))).
% 0.64/1.37 %-----------------------------------------------------
% 0.64/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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