TSTP Solution File: SWV488+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV488+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 12:20:47 EDT 2023
% Result : Theorem 171.22s 166.12s
% Output : Proof 171.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV488+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 19 02:48:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 171.22/166.12
% 171.22/166.12 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 171.22/166.12 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 171.22/166.12 %-----------------------------------------------------
% 171.22/166.12 ncf(matrix, plain, [(221 ^ _50205) ^ [] : [-(int_leq(int_one, 219 ^ []))], (223 ^ _50205) ^ [] : [-(int_leq(219 ^ [], 218 ^ []))], (229 ^ _50205) ^ [] : [-(a(218 ^ [], 219 ^ []) = real_zero)], (227 ^ _50205) ^ [] : [-(218 ^ [] = 219 ^ [])], (225 ^ _50205) ^ [] : [-(int_leq(218 ^ [], n))], !, (110 ^ _42745) ^ [_46423, _46425] : [-(plus(_46425, _46423) = plus(_46423, _46425))], (108 ^ _42745) ^ [] : [-(int_less(int_zero, int_one))], (48 ^ _42745) ^ [_44397, _44399, _44401, _44403] : [-(plus(_44403, _44399) = plus(_44401, _44397)), _44403 = _44401, _44399 = _44397], (10 ^ _42745) ^ [_43180, _43182, _43184] : [-(_43184 = _43180), _43184 = _43182, _43182 = _43180], (157 ^ _42745) ^ [_48105, _48107] : [int_leq(int_one, _48107), int_leq(_48107, n), int_leq(int_one, _48105), int_leq(_48105, n), 172 ^ _42745 : [(201 ^ _42745) ^ [_49507] : [int_less(int_zero, _49507), _48105 = plus(_48107, _49507), 208 ^ _42745 : [(209 ^ _42745) ^ [_49763] : [-(a(_49763, plus(_49763, _49507)) = real_zero), int_leq(int_one, _49763), int_leq(_49763, _48107)]]], (191 ^ _42745) ^ [_49222] : [-(a(_49222, _49222) = real_one), int_leq(int_one, _49222), int_leq(_49222, _48105)], (173 ^ _42745) ^ [_48636] : [int_less(int_zero, _48636), _48107 = plus(_48105, _48636), 180 ^ _42745 : [(181 ^ _42745) ^ [_48892] : [-(a(plus(_48892, _48636), _48892) = real_zero), int_leq(int_one, _48892), int_leq(_48892, _48105)]]]]], (112 ^ _42745) ^ [_46509] : [-(plus(_46509, int_zero) = _46509)], (143 ^ _42745) ^ [_47711] : [int_less(int_zero, _47711), -(int_leq(int_one, _47711))], (149 ^ _42745) ^ [_47867] : [int_leq(int_one, _47867), -(int_less(int_zero, _47867))], (155 ^ _42745) ^ [] : [real_zero = real_one], (96 ^ _42745) ^ [_45963, _45965] : [int_less(_45965, _45963), _45965 = _45963], (4 ^ _42745) ^ [_42976, _42978] : [_42978 = _42976, -(_42976 = _42978)], (114 ^ _42745) ^ [_46647, _46649, _46651, _46653] : [-(int_leq(plus(_46653, _46649), plus(_46651, _46647))), int_less(_46653, _46651), int_leq(_46649, _46647)], (78 ^ _42745) ^ [_45354, _45356] : [79 ^ _42745 : [(80 ^ _42745) ^ [] : [int_less(_45356, _45354)], (82 ^ _42745) ^ [] : [_45356 = _45354]], -(int_leq(_45356, _45354))], (68 ^ _42745) ^ [_45102, _45104] : [int_leq(_45104, _45102), -(int_less(_45104, _45102)), -(_45104 = _45102)], (58 ^ _42745) ^ [_44736, _44738, _44740, _44742] : [-(a(_44742, _44738) = a(_44740, _44736)), _44742 = _44740, _44738 = _44736], (34 ^ _42745) ^ [_43945, _43947, _43949, _43951] : [-(int_leq(_43949, _43945)), int_leq(_43951, _43947), _43951 = _43949, _43947 = _43945], (124 ^ _42745) ^ [_47007, _47009] : [int_less(_47009, _47007), 128 ^ _42745 : [(129 ^ _42745) ^ [] : [-(plus(_47009, 127 ^ [_47007, _47009]) = _47007)], (131 ^ _42745) ^ [] : [-(int_less(int_zero, 127 ^ [_47007, _47009]))]]], (2 ^ _42745) ^ [_42869] : [-(_42869 = _42869)], (86 ^ _42745) ^ [_45654, _45656, _45658] : [-(int_less(_45658, _45654)), int_less(_45658, _45656), int_less(_45656, _45654)], (20 ^ _42745) ^ [_43521, _43523, _43525, _43527] : [-(int_less(_43525, _43521)), int_less(_43527, _43523), _43527 = _43525, _43523 = _43521], (102 ^ _42745) ^ [_46174, _46176] : [-(int_less(_46176, _46174)), -(int_leq(_46174, _46176))], (133 ^ _42745) ^ [_47323, _47325] : [-(int_less(_47325, _47323)), 134 ^ _42745 : [(135 ^ _42745) ^ [_47418] : [plus(_47325, _47418) = _47323, int_less(int_zero, _47418)]]]], input).
% 171.22/166.12 ncf('1',plain,[-(int_leq(int_one, 219 ^ []))],start(221 ^ 0)).
% 171.22/166.12 ncf('1.1',plain,[int_leq(int_one, 219 ^ []), int_leq(219 ^ [], n), int_leq(int_one, 219 ^ []), int_leq(219 ^ [], n), 191 : -(a(219 ^ [], 219 ^ []) = real_one), 191 : int_leq(int_one, 219 ^ []), 191 : int_leq(219 ^ [], 219 ^ [])],extension(157 ^ 1,bind([[_48105, _48107, _49222], [219 ^ [], 219 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.1',plain,[-(int_leq(219 ^ [], n)), 82 : 219 ^ [] = n],extension(78 ^ 2,bind([[_45354, _45356], [n, 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.1.1',plain,[-(219 ^ [] = n), 219 ^ [] = 218 ^ [], 218 ^ [] = n],extension(10 ^ 5,bind([[_43180, _43182, _43184], [n, 218 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.1.1.1',plain,[-(219 ^ [] = 218 ^ []), 218 ^ [] = 219 ^ []],extension(4 ^ 6,bind([[_42976, _42978], [219 ^ [], 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.1.1.1.1',plain,[-(218 ^ [] = 219 ^ [])],extension(227 ^ 7)).
% 171.22/166.12 ncf('1.1.1.1.2',plain,[-(218 ^ [] = n), int_leq(218 ^ [], n), -(int_less(218 ^ [], n))],extension(68 ^ 6,bind([[_45102, _45104], [n, 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.1.1.2.1',plain,[-(int_leq(218 ^ [], n))],extension(225 ^ 7)).
% 171.22/166.12 ncf('1.1.1.1.2.2',plain,[int_less(218 ^ [], n), -(int_less(218 ^ [], 219 ^ [])), int_less(n, 219 ^ [])],extension(86 ^ 7,bind([[_45654, _45656, _45658], [219 ^ [], n, 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.1.1.2.2.1',plain,[int_less(218 ^ [], 219 ^ []), 218 ^ [] = 219 ^ []],extension(96 ^ 8,bind([[_45963, _45965], [219 ^ [], 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.1.1.2.2.1.1',plain,[-(218 ^ [] = 219 ^ [])],extension(227 ^ 9)).
% 171.22/166.12 ncf('1.1.1.1.2.2.2',plain,[-(int_less(n, 219 ^ [])), -(int_leq(219 ^ [], n))],extension(102 ^ 8,bind([[_46174, _46176], [219 ^ [], n]]))).
% 171.22/166.12 ncf('1.1.1.1.2.2.2.1',plain,[int_leq(219 ^ [], n)],reduction('1.1')).
% 171.22/166.12 ncf('1.1.2',plain,[-(int_leq(int_one, 219 ^ []))],reduction('1')).
% 171.22/166.12 ncf('1.1.3',plain,[-(int_leq(219 ^ [], n))],lemmata('[1].x')).
% 171.22/166.12 ncf('1.1.4',plain,[a(219 ^ [], 219 ^ []) = real_one, -(real_zero = real_one), real_zero = a(219 ^ [], 219 ^ [])],extension(10 ^ 4,bind([[_43180, _43182, _43184], [real_one, a(219 ^ [], 219 ^ []), real_zero]]))).
% 171.22/166.12 ncf('1.1.4.1',plain,[real_zero = real_one, -(real_zero = real_zero), real_one = real_zero],extension(10 ^ 5,bind([[_43180, _43182, _43184], [real_zero, real_one, real_zero]]))).
% 171.22/166.12 ncf('1.1.4.1.1',plain,[real_zero = real_zero, -(real_zero = real_one), real_zero = real_one],extension(10 ^ 6,bind([[_43180, _43182, _43184], [real_one, real_zero, real_zero]]))).
% 171.22/166.12 ncf('1.1.4.1.1.1',plain,[real_zero = real_one, -(real_zero = real_zero), real_one = real_zero],extension(10 ^ 7,bind([[_43180, _43182, _43184], [real_zero, real_one, real_zero]]))).
% 171.22/166.12 ncf('1.1.4.1.1.1.1',plain,[real_zero = real_zero, -(real_zero = real_one), real_zero = real_one],extension(10 ^ 8,bind([[_43180, _43182, _43184], [real_one, real_zero, real_zero]]))).
% 171.22/166.12 ncf('1.1.4.1.1.1.1.1',plain,[real_zero = real_one],extension(155 ^ 9)).
% 171.22/166.12 ncf('1.1.4.1.1.1.1.2',plain,[-(real_zero = real_one)],reduction('1.1.4.1.1')).
% 171.22/166.12 ncf('1.1.4.1.1.1.2',plain,[-(real_one = real_zero), real_zero = real_one],extension(4 ^ 8,bind([[_42976, _42978], [real_one, real_zero]]))).
% 171.22/166.12 ncf('1.1.4.1.1.1.2.1',plain,[-(real_zero = real_one)],reduction('1.1.4.1.1')).
% 171.22/166.12 ncf('1.1.4.1.1.2',plain,[-(real_zero = real_one)],reduction('1.1.4')).
% 171.22/166.12 ncf('1.1.4.1.2',plain,[-(real_one = real_zero), real_zero = real_one],extension(4 ^ 6,bind([[_42976, _42978], [real_one, real_zero]]))).
% 171.22/166.12 ncf('1.1.4.1.2.1',plain,[-(real_zero = real_one)],reduction('1.1.4')).
% 171.22/166.12 ncf('1.1.4.2',plain,[-(real_zero = a(219 ^ [], 219 ^ [])), real_zero = a(218 ^ [], 219 ^ []), a(218 ^ [], 219 ^ []) = a(219 ^ [], 219 ^ [])],extension(10 ^ 5,bind([[_43180, _43182, _43184], [a(219 ^ [], 219 ^ []), a(218 ^ [], 219 ^ []), real_zero]]))).
% 171.22/166.12 ncf('1.1.4.2.1',plain,[-(real_zero = a(218 ^ [], 219 ^ [])), a(218 ^ [], 219 ^ []) = real_zero],extension(4 ^ 6,bind([[_42976, _42978], [real_zero, a(218 ^ [], 219 ^ [])]]))).
% 171.22/166.12 ncf('1.1.4.2.1.1',plain,[-(a(218 ^ [], 219 ^ []) = real_zero)],extension(229 ^ 7)).
% 171.22/166.12 ncf('1.1.4.2.2',plain,[-(a(218 ^ [], 219 ^ []) = a(219 ^ [], 219 ^ [])), 218 ^ [] = 219 ^ [], 219 ^ [] = 219 ^ []],extension(58 ^ 6,bind([[_44736, _44738, _44740, _44742], [219 ^ [], 219 ^ [], 219 ^ [], 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.4.2.2.1',plain,[-(218 ^ [] = 219 ^ [])],extension(227 ^ 7)).
% 171.22/166.12 ncf('1.1.4.2.2.2',plain,[-(219 ^ [] = 219 ^ []), 219 ^ [] = 218 ^ [], 218 ^ [] = 219 ^ []],extension(10 ^ 7,bind([[_43180, _43182, _43184], [219 ^ [], 218 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.4.2.2.2.1',plain,[-(219 ^ [] = 218 ^ []), 218 ^ [] = 219 ^ []],extension(4 ^ 8,bind([[_42976, _42978], [219 ^ [], 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.4.2.2.2.1.1',plain,[-(218 ^ [] = 219 ^ [])],extension(227 ^ 9)).
% 171.22/166.12 ncf('1.1.4.2.2.2.2',plain,[-(218 ^ [] = 219 ^ [])],lemmata('[2, 4, 1, 1].x')).
% 171.22/166.12 ncf('1.1.5',plain,[-(int_leq(int_one, 219 ^ []))],lemmata('[1].x')).
% 171.22/166.12 ncf('1.1.6',plain,[-(int_leq(219 ^ [], 219 ^ [])), 80 : int_less(219 ^ [], 219 ^ [])],extension(78 ^ 4,bind([[_45354, _45356], [219 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1',plain,[-(int_less(219 ^ [], 219 ^ [])), int_less(219 ^ [], 218 ^ []), int_less(218 ^ [], 219 ^ [])],extension(86 ^ 7,bind([[_45654, _45656, _45658], [219 ^ [], 218 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1.1',plain,[-(int_less(219 ^ [], 218 ^ [])), int_leq(219 ^ [], 218 ^ []), -(219 ^ [] = 218 ^ [])],extension(68 ^ 8,bind([[_45102, _45104], [218 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1.1.1',plain,[-(int_leq(219 ^ [], 218 ^ []))],extension(223 ^ 9)).
% 171.22/166.12 ncf('1.1.6.1.1.2',plain,[219 ^ [] = 218 ^ [], -(219 ^ [] = 219 ^ []), 218 ^ [] = 219 ^ []],extension(10 ^ 9,bind([[_43180, _43182, _43184], [219 ^ [], 218 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1.1.2.1',plain,[219 ^ [] = 219 ^ []],extension(82 ^ 10)).
% 171.22/166.12 ncf('1.1.6.1.1.2.2',plain,[-(218 ^ [] = 219 ^ [])],extension(227 ^ 10)).
% 171.22/166.12 ncf('1.1.6.1.2',plain,[-(int_less(218 ^ [], 219 ^ [])), int_leq(218 ^ [], 219 ^ []), -(218 ^ [] = 219 ^ [])],extension(68 ^ 8,bind([[_45102, _45104], [219 ^ [], 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1.2.1',plain,[-(int_leq(218 ^ [], 219 ^ [])), 82 : 218 ^ [] = 219 ^ []],extension(78 ^ 9,bind([[_45354, _45356], [219 ^ [], 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1.2.1.1',plain,[-(218 ^ [] = 219 ^ [])],extension(227 ^ 12)).
% 171.22/166.12 ncf('1.1.6.1.2.2',plain,[218 ^ [] = 219 ^ [], -(219 ^ [] = 219 ^ []), 219 ^ [] = 218 ^ []],extension(10 ^ 9,bind([[_43180, _43182, _43184], [219 ^ [], 218 ^ [], 219 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1.2.2.1',plain,[219 ^ [] = 219 ^ []],extension(82 ^ 10)).
% 171.22/166.12 ncf('1.1.6.1.2.2.2',plain,[-(219 ^ [] = 218 ^ []), 218 ^ [] = 219 ^ []],extension(4 ^ 10,bind([[_42976, _42978], [219 ^ [], 218 ^ []]]))).
% 171.22/166.12 ncf('1.1.6.1.2.2.2.1',plain,[-(218 ^ [] = 219 ^ [])],reduction('1.1.6.1.2')).
% 171.22/166.12 %-----------------------------------------------------
% 171.22/166.12 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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