TSTP Solution File: NUM457+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM457+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 11:44:41 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n015.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 17:18:07 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(238 ^ _38822) ^ [] : [-(sdtasdt0(xm, xn) = sz00)], (240 ^ _38822) ^ [] : [xm = sz00], (242 ^ _38822) ^ [] : [xn = sz00], (30 ^ _38822) ^ [_39895, _39897, _39899, _39901] : [-(sdtpldt0(_39901, _39897) = sdtpldt0(_39899, _39895)), _39901 = _39899, _39897 = _39895], (40 ^ _38822) ^ [_40234, _40236, _40238, _40240] : [-(sdtasdt0(_40240, _40236) = sdtasdt0(_40238, _40234)), _40240 = _40238, _40236 = _40234], (20 ^ _38822) ^ [_39570, _39572] : [-(aNaturalNumber0(_39570)), _39572 = _39570, aNaturalNumber0(_39572)], (2 ^ _38822) ^ [_38966] : [-(_38966 = _38966)], (4 ^ _38822) ^ [_39073, _39075] : [_39075 = _39073, -(_39073 = _39075)], (10 ^ _38822) ^ [_39277, _39279, _39281] : [-(_39281 = _39277), _39281 = _39279, _39279 = _39277], (50 ^ _38822) ^ [_40557] : [aNaturalNumber0(_40557), true___, -(true___)], (60 ^ _38822) ^ [] : [-(aNaturalNumber0(sz00))], (62 ^ _38822) ^ [] : [-(aNaturalNumber0(sz10))], (64 ^ _38822) ^ [] : [sz10 = sz00], (66 ^ _38822) ^ [_40986, _40988] : [-(aNaturalNumber0(sdtpldt0(_40988, _40986))), aNaturalNumber0(_40988), aNaturalNumber0(_40986)], (76 ^ _38822) ^ [_41285, _41287] : [-(aNaturalNumber0(sdtasdt0(_41287, _41285))), aNaturalNumber0(_41287), aNaturalNumber0(_41285)], (86 ^ _38822) ^ [_41584, _41586] : [-(sdtpldt0(_41586, _41584) = sdtpldt0(_41584, _41586)), aNaturalNumber0(_41586), aNaturalNumber0(_41584)], (96 ^ _38822) ^ [_41905, _41907, _41909] : [-(sdtpldt0(sdtpldt0(_41909, _41907), _41905) = sdtpldt0(_41909, sdtpldt0(_41907, _41905))), aNaturalNumber0(_41909), aNaturalNumber0(_41907), aNaturalNumber0(_41905)], (110 ^ _38822) ^ [_42311] : [aNaturalNumber0(_42311), 113 ^ _38822 : [(114 ^ _38822) ^ [] : [-(sdtpldt0(_42311, sz00) = _42311)], (116 ^ _38822) ^ [] : [-(_42311 = sdtpldt0(sz00, _42311))]]], (118 ^ _38822) ^ [_42598, _42600] : [-(sdtasdt0(_42600, _42598) = sdtasdt0(_42598, _42600)), aNaturalNumber0(_42600), aNaturalNumber0(_42598)], (128 ^ _38822) ^ [_42919, _42921, _42923] : [-(sdtasdt0(sdtasdt0(_42923, _42921), _42919) = sdtasdt0(_42923, sdtasdt0(_42921, _42919))), aNaturalNumber0(_42923), aNaturalNumber0(_42921), aNaturalNumber0(_42919)], (142 ^ _38822) ^ [_43325] : [aNaturalNumber0(_43325), 145 ^ _38822 : [(146 ^ _38822) ^ [] : [-(sdtasdt0(_43325, sz10) = _43325)], (148 ^ _38822) ^ [] : [-(_43325 = sdtasdt0(sz10, _43325))]]], (150 ^ _38822) ^ [_43598] : [aNaturalNumber0(_43598), 153 ^ _38822 : [(154 ^ _38822) ^ [] : [-(sdtasdt0(_43598, sz00) = sz00)], (156 ^ _38822) ^ [] : [-(sz00 = sdtasdt0(sz00, _43598))]]], (158 ^ _38822) ^ [_43899, _43901, _43903] : [169 ^ _38822 : [(170 ^ _38822) ^ [] : [-(sdtasdt0(_43903, sdtpldt0(_43901, _43899)) = sdtpldt0(sdtasdt0(_43903, _43901), sdtasdt0(_43903, _43899)))], (172 ^ _38822) ^ [] : [-(sdtasdt0(sdtpldt0(_43901, _43899), _43903) = sdtpldt0(sdtasdt0(_43901, _43903), sdtasdt0(_43899, _43903)))]], aNaturalNumber0(_43903), aNaturalNumber0(_43901), aNaturalNumber0(_43899)], (174 ^ _38822) ^ [_44446, _44448, _44450] : [187 ^ _38822 : [(188 ^ _38822) ^ [] : [sdtpldt0(_44450, _44448) = sdtpldt0(_44450, _44446)], (190 ^ _38822) ^ [] : [sdtpldt0(_44448, _44450) = sdtpldt0(_44446, _44450)]], -(_44448 = _44446), aNaturalNumber0(_44450), aNaturalNumber0(_44448), aNaturalNumber0(_44446)], (234 ^ _38822) ^ [] : [-(aNaturalNumber0(xm))], (236 ^ _38822) ^ [] : [-(aNaturalNumber0(xn))], (218 ^ _38822) ^ [_45796, _45798] : [aNaturalNumber0(_45798), aNaturalNumber0(_45796), sdtpldt0(_45798, _45796) = sz00, 229 ^ _38822 : [(230 ^ _38822) ^ [] : [-(_45798 = sz00)], (232 ^ _38822) ^ [] : [-(_45796 = sz00)]]], (194 ^ _38822) ^ [_45023] : [aNaturalNumber0(_45023), -(_45023 = sz00), 201 ^ _38822 : [(202 ^ _38822) ^ [_45285, _45287] : [aNaturalNumber0(_45287), aNaturalNumber0(_45285), 211 ^ _38822 : [(212 ^ _38822) ^ [] : [sdtasdt0(_45023, _45287) = sdtasdt0(_45023, _45285)], (214 ^ _38822) ^ [] : [sdtasdt0(_45287, _45023) = sdtasdt0(_45285, _45023)]], -(_45287 = _45285)]]]], input).
% 0.34/1.38 ncf('1',plain,[xm = sz00],start(240 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(xm = sz00), 202 : aNaturalNumber0(xm), 202 : aNaturalNumber0(sz00), 214 : sdtasdt0(xm, xn) = sdtasdt0(sz00, xn), 202 : aNaturalNumber0(xn), 202 : -(xn = sz00)],extension(194 ^ 1,bind([[_45023, _45285, _45287], [xn, sz00, xm]]))).
% 0.34/1.38 ncf('1.1.1',plain,[-(aNaturalNumber0(xm))],extension(234 ^ 4)).
% 0.34/1.38 ncf('1.1.2',plain,[-(aNaturalNumber0(sz00)), sdtasdt0(xm, xn) = sz00, aNaturalNumber0(sdtasdt0(xm, xn))],extension(20 ^ 4,bind([[_39570, _39572], [sz00, sdtasdt0(xm, xn)]]))).
% 0.34/1.38 ncf('1.1.2.1',plain,[-(sdtasdt0(xm, xn) = sz00)],extension(238 ^ 5)).
% 0.34/1.38 ncf('1.1.2.2',plain,[-(aNaturalNumber0(sdtasdt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(76 ^ 5,bind([[_41285, _41287], [xn, xm]]))).
% 0.34/1.38 ncf('1.1.2.2.1',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.2.2.2',plain,[-(aNaturalNumber0(xn))],extension(236 ^ 6)).
% 0.34/1.38 ncf('1.1.3',plain,[-(sdtasdt0(xm, xn) = sdtasdt0(sz00, xn)), sdtasdt0(xm, xn) = sz00, sz00 = sdtasdt0(sz00, xn)],extension(10 ^ 6,bind([[_39277, _39279, _39281], [sdtasdt0(sz00, xn), sz00, sdtasdt0(xm, xn)]]))).
% 0.34/1.38 ncf('1.1.3.1',plain,[-(sdtasdt0(xm, xn) = sz00)],extension(238 ^ 7)).
% 0.34/1.38 ncf('1.1.3.2',plain,[-(sz00 = sdtasdt0(sz00, xn)), aNaturalNumber0(xn)],extension(150 ^ 7,bind([[_43598], [xn]]))).
% 0.34/1.38 ncf('1.1.3.2.1',plain,[-(aNaturalNumber0(xn))],extension(236 ^ 8)).
% 0.34/1.38 ncf('1.1.4',plain,[-(aNaturalNumber0(xn))],extension(236 ^ 2)).
% 0.34/1.38 ncf('1.1.5',plain,[xn = sz00],extension(242 ^ 2)).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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