TSTP Solution File: SWV488+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV488+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 203.55s 196.82s
% Output : Proof 203.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : SWV488+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.08 % Command : nanocop.sh %s %d
% 0.07/0.27 % Computer : n003.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Fri May 19 02:38:45 EDT 2023
% 0.07/0.27 % CPUTime :
% 203.55/196.82
% 203.55/196.82 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 203.55/196.82 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 203.55/196.82 %-----------------------------------------------------
% 203.55/196.82 ncf(matrix, plain, [(233 ^ _51877) ^ [] : [-(int_leq(228 ^ [], 229 ^ []))], (235 ^ _51877) ^ [] : [-(int_leq(229 ^ [], n))], (237 ^ _51877) ^ [] : [-(228 ^ [] = 229 ^ [])], (239 ^ _51877) ^ [] : [-(a(228 ^ [], 229 ^ []) = real_zero)], (231 ^ _51877) ^ [] : [-(int_leq(int_one, 228 ^ []))], !, (167 ^ _44028) ^ [_49751, _49753] : [int_leq(int_one, _49753), int_leq(_49753, n), int_leq(int_one, _49751), int_leq(_49751, n), 182 ^ _44028 : [(211 ^ _44028) ^ [_51177] : [int_less(int_zero, _51177), _49751 = plus(_49753, _51177), 218 ^ _44028 : [(219 ^ _44028) ^ [_51433] : [-(a(_51433, plus(_51433, _51177)) = real_zero), int_leq(int_one, _51433), int_leq(_51433, _49753)]]], (201 ^ _44028) ^ [_50892] : [-(a(_50892, _50892) = real_one), int_leq(int_one, _50892), int_leq(_50892, _49751)], (183 ^ _44028) ^ [_50288] : [int_less(int_zero, _50288), _49753 = plus(_49751, _50288), 190 ^ _44028 : [(191 ^ _44028) ^ [_50550] : [-(a(plus(_50550, _50288), _50550) = lu(plus(_50550, _50288), _50550)), int_leq(int_one, _50550), int_leq(_50550, _49751)]]]]], (122 ^ _44028) ^ [_48155] : [-(plus(_48155, int_zero) = _48155)], (165 ^ _44028) ^ [] : [real_zero = real_one], (112 ^ _44028) ^ [_47820, _47822] : [-(int_less(_47822, _47820)), -(int_leq(_47820, _47822))], (106 ^ _44028) ^ [_47609, _47611] : [int_less(_47611, _47609), _47611 = _47609], (48 ^ _44028) ^ [_45680, _45682, _45684, _45686] : [-(lu(_45686, _45682) = lu(_45684, _45680)), _45686 = _45684, _45682 = _45680], (34 ^ _44028) ^ [_45228, _45230, _45232, _45234] : [-(int_leq(_45232, _45228)), int_leq(_45234, _45230), _45234 = _45232, _45230 = _45228], (153 ^ _44028) ^ [_49357] : [int_less(int_zero, _49357), -(int_leq(int_one, _49357))], (159 ^ _44028) ^ [_49513] : [int_leq(int_one, _49513), -(int_less(int_zero, _49513))], (134 ^ _44028) ^ [_48653, _48655] : [int_less(_48655, _48653), 138 ^ _44028 : [(141 ^ _44028) ^ [] : [-(int_less(int_zero, 137 ^ [_48653, _48655]))], (139 ^ _44028) ^ [] : [-(plus(_48655, 137 ^ [_48653, _48655]) = _48653)]]], (96 ^ _44028) ^ [_47300, _47302, _47304] : [-(int_less(_47304, _47300)), int_less(_47304, _47302), int_less(_47302, _47300)], (10 ^ _44028) ^ [_44463, _44465, _44467] : [-(_44467 = _44463), _44467 = _44465, _44465 = _44463], (124 ^ _44028) ^ [_48293, _48295, _48297, _48299] : [-(int_leq(plus(_48299, _48295), plus(_48297, _48293))), int_less(_48299, _48297), int_leq(_48295, _48293)], (68 ^ _44028) ^ [_46378, _46380, _46382, _46384] : [-(a(_46384, _46380) = a(_46382, _46378)), _46384 = _46382, _46380 = _46378], (78 ^ _44028) ^ [_46748, _46750] : [int_leq(_46750, _46748), -(int_less(_46750, _46748)), -(_46750 = _46748)], (118 ^ _44028) ^ [] : [-(int_less(int_zero, int_one))], (58 ^ _44028) ^ [_46039, _46041, _46043, _46045] : [-(plus(_46045, _46041) = plus(_46043, _46039)), _46045 = _46043, _46041 = _46039], (120 ^ _44028) ^ [_48069, _48071] : [-(plus(_48071, _48069) = plus(_48069, _48071))], (20 ^ _44028) ^ [_44804, _44806, _44808, _44810] : [-(int_less(_44808, _44804)), int_less(_44810, _44806), _44810 = _44808, _44806 = _44804], (88 ^ _44028) ^ [_47000, _47002] : [89 ^ _44028 : [(92 ^ _44028) ^ [] : [_47002 = _47000], (90 ^ _44028) ^ [] : [int_less(_47002, _47000)]], -(int_leq(_47002, _47000))], (143 ^ _44028) ^ [_48969, _48971] : [-(int_less(_48971, _48969)), 144 ^ _44028 : [(145 ^ _44028) ^ [_49064] : [plus(_48971, _49064) = _48969, int_less(int_zero, _49064)]]], (4 ^ _44028) ^ [_44259, _44261] : [_44261 = _44259, -(_44259 = _44261)], (2 ^ _44028) ^ [_44152] : [-(_44152 = _44152)]], input).
% 203.55/196.82 ncf('1',plain,[-(int_leq(228 ^ [], 229 ^ []))],start(233 ^ 0)).
% 203.55/196.82 ncf('1.1',plain,[int_leq(228 ^ [], 229 ^ []), 201 : -(a(228 ^ [], 228 ^ []) = real_one), 201 : int_leq(int_one, 228 ^ []), 201 : int_leq(int_one, 228 ^ []), 201 : int_leq(228 ^ [], n), 201 : int_leq(int_one, 229 ^ []), 201 : int_leq(229 ^ [], n)],extension(167 ^ 1,bind([[_49751, _49753, _50892], [229 ^ [], 228 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.1',plain,[a(228 ^ [], 228 ^ []) = real_one, -(real_zero = real_one), real_zero = a(228 ^ [], 228 ^ [])],extension(10 ^ 4,bind([[_44463, _44465, _44467], [real_one, a(228 ^ [], 228 ^ []), real_zero]]))).
% 203.55/196.82 ncf('1.1.1.1',plain,[real_zero = real_one],extension(165 ^ 5)).
% 203.55/196.82 ncf('1.1.1.2',plain,[-(real_zero = a(228 ^ [], 228 ^ [])), real_zero = a(228 ^ [], 229 ^ []), a(228 ^ [], 229 ^ []) = a(228 ^ [], 228 ^ [])],extension(10 ^ 5,bind([[_44463, _44465, _44467], [a(228 ^ [], 228 ^ []), a(228 ^ [], 229 ^ []), real_zero]]))).
% 203.55/196.82 ncf('1.1.1.2.1',plain,[-(real_zero = a(228 ^ [], 229 ^ [])), a(228 ^ [], 229 ^ []) = real_zero],extension(4 ^ 6,bind([[_44259, _44261], [real_zero, a(228 ^ [], 229 ^ [])]]))).
% 203.55/196.82 ncf('1.1.1.2.1.1',plain,[-(a(228 ^ [], 229 ^ []) = real_zero)],extension(239 ^ 7)).
% 203.55/196.82 ncf('1.1.1.2.2',plain,[-(a(228 ^ [], 229 ^ []) = a(228 ^ [], 228 ^ [])), 228 ^ [] = 228 ^ [], 229 ^ [] = 228 ^ []],extension(68 ^ 6,bind([[_46378, _46380, _46382, _46384], [228 ^ [], 229 ^ [], 228 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.1.2.2.1',plain,[-(228 ^ [] = 228 ^ []), 228 ^ [] = 229 ^ [], 229 ^ [] = 228 ^ []],extension(10 ^ 7,bind([[_44463, _44465, _44467], [228 ^ [], 229 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.1.2.2.1.1',plain,[-(228 ^ [] = 229 ^ [])],extension(237 ^ 8)).
% 203.55/196.82 ncf('1.1.1.2.2.1.2',plain,[-(229 ^ [] = 228 ^ []), 228 ^ [] = 229 ^ []],extension(4 ^ 8,bind([[_44259, _44261], [229 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.1.2.2.1.2.1',plain,[-(228 ^ [] = 229 ^ [])],lemmata('[2, 2, 1, 1, 1].x')).
% 203.55/196.82 ncf('1.1.1.2.2.2',plain,[-(229 ^ [] = 228 ^ []), 229 ^ [] = 228 ^ [], 228 ^ [] = 228 ^ []],extension(10 ^ 7,bind([[_44463, _44465, _44467], [228 ^ [], 228 ^ [], 229 ^ []]]))).
% 203.55/196.82 ncf('1.1.1.2.2.2.1',plain,[-(229 ^ [] = 228 ^ []), 228 ^ [] = 229 ^ []],extension(4 ^ 8,bind([[_44259, _44261], [229 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.1.2.2.2.1.1',plain,[-(228 ^ [] = 229 ^ [])],extension(237 ^ 9)).
% 203.55/196.82 ncf('1.1.1.2.2.2.2',plain,[-(228 ^ [] = 228 ^ [])],lemmata('[2, 1, 1, 1].x')).
% 203.55/196.82 ncf('1.1.2',plain,[-(int_leq(int_one, 228 ^ []))],extension(231 ^ 4)).
% 203.55/196.82 ncf('1.1.3',plain,[-(int_leq(int_one, 228 ^ []))],extension(231 ^ 2)).
% 203.55/196.82 ncf('1.1.4',plain,[-(int_leq(228 ^ [], n)), int_leq(228 ^ [], 229 ^ []), 228 ^ [] = 228 ^ [], 229 ^ [] = n],extension(34 ^ 2,bind([[_45228, _45230, _45232, _45234], [n, 229 ^ [], 228 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.4.1',plain,[-(int_leq(228 ^ [], 229 ^ []))],reduction('1')).
% 203.55/196.82 ncf('1.1.4.2',plain,[-(228 ^ [] = 228 ^ []), 228 ^ [] = 229 ^ [], 229 ^ [] = 228 ^ []],extension(10 ^ 3,bind([[_44463, _44465, _44467], [228 ^ [], 229 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.4.2.1',plain,[-(228 ^ [] = 229 ^ [])],extension(237 ^ 4)).
% 203.55/196.82 ncf('1.1.4.2.2',plain,[-(229 ^ [] = 228 ^ []), 228 ^ [] = 229 ^ []],extension(4 ^ 4,bind([[_44259, _44261], [229 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.4.2.2.1',plain,[-(228 ^ [] = 229 ^ [])],lemmata('[4, 1, 1].x')).
% 203.55/196.82 ncf('1.1.4.3',plain,[-(229 ^ [] = n), int_leq(229 ^ [], n), -(int_less(229 ^ [], n))],extension(78 ^ 3,bind([[_46748, _46750], [n, 229 ^ []]]))).
% 203.55/196.82 ncf('1.1.4.3.1',plain,[-(int_leq(229 ^ [], n))],extension(235 ^ 4)).
% 203.55/196.82 ncf('1.1.4.3.2',plain,[int_less(229 ^ [], n), -(int_less(229 ^ [], 228 ^ [])), int_less(n, 228 ^ [])],extension(96 ^ 4,bind([[_47300, _47302, _47304], [228 ^ [], n, 229 ^ []]]))).
% 203.55/196.82 ncf('1.1.4.3.2.1',plain,[int_less(229 ^ [], 228 ^ []), 229 ^ [] = 228 ^ []],extension(106 ^ 5,bind([[_47609, _47611], [228 ^ [], 229 ^ []]]))).
% 203.55/196.82 ncf('1.1.4.3.2.1.1',plain,[-(229 ^ [] = 228 ^ []), 228 ^ [] = 229 ^ []],extension(4 ^ 6,bind([[_44259, _44261], [229 ^ [], 228 ^ []]]))).
% 203.55/196.82 ncf('1.1.4.3.2.1.1.1',plain,[-(228 ^ [] = 229 ^ [])],extension(237 ^ 7)).
% 203.55/196.82 ncf('1.1.4.3.2.2',plain,[-(int_less(n, 228 ^ [])), -(int_leq(228 ^ [], n))],extension(112 ^ 5,bind([[_47820, _47822], [228 ^ [], n]]))).
% 203.55/196.82 ncf('1.1.4.3.2.2.1',plain,[int_leq(228 ^ [], n)],reduction('1.1')).
% 203.55/196.82 ncf('1.1.5',plain,[-(int_leq(int_one, 229 ^ [])), -(int_less(229 ^ [], int_one))],extension(112 ^ 2,bind([[_47820, _47822], [int_one, 229 ^ []]]))).
% 203.55/196.82 ncf('1.1.5.1',plain,[int_less(229 ^ [], int_one), 139 : -(plus(229 ^ [], 137 ^ [int_one, 229 ^ []]) = int_one)],extension(134 ^ 3,bind([[_48653, _48655], [int_one, 229 ^ []]]))).
% 203.55/196.82 ncf('1.1.5.1.1',plain,[plus(229 ^ [], 137 ^ [int_one, 229 ^ []]) = int_one, -(int_one = plus(229 ^ [], 137 ^ [int_one, 229 ^ []]))],extension(4 ^ 6,bind([[_44259, _44261], [int_one, plus(229 ^ [], 137 ^ [int_one, 229 ^ []])]]))).
% 203.55/196.82 ncf('1.1.5.1.1.1',plain,[int_one = plus(229 ^ [], 137 ^ [int_one, 229 ^ []]), -(int_leq(plus(229 ^ [], 137 ^ [int_one, 229 ^ []]), 228 ^ [])), int_leq(int_one, 228 ^ []), 228 ^ [] = 228 ^ []],extension(34 ^ 7,bind([[_45228, _45230, _45232, _45234], [228 ^ [], 228 ^ [], plus(229 ^ [], 137 ^ [int_one, 229 ^ []]), int_one]]))).
% 203.55/196.82 ncf('1.1.5.1.1.1.1',plain,[int_leq(plus(229 ^ [], 137 ^ [int_one, 229 ^ []]), 228 ^ []), -(int_leq(int_one, 229 ^ [])), plus(229 ^ [], 137 ^ [int_one, 229 ^ []]) = int_one, 228 ^ [] = 229 ^ []],extension(34 ^ 8,bind([[_45228, _45230, _45232, _45234], [229 ^ [], 228 ^ [], int_one, plus(229 ^ [], 137 ^ [int_one, 229 ^ []])]]))).
% 203.55/196.82 ncf('1.1.5.1.1.1.1.1',plain,[int_leq(int_one, 229 ^ [])],reduction('1.1')).
% 203.55/196.82 ncf('1.1.5.1.1.1.1.2',plain,[-(plus(229 ^ [], 137 ^ [int_one, 229 ^ []]) = int_one)],reduction('1.1.5.1')).
% 203.55/196.82 ncf('1.1.5.1.1.1.1.3',plain,[-(228 ^ [] = 229 ^ [])],extension(237 ^ 9)).
% 203.55/196.82 ncf('1.1.5.1.1.1.2',plain,[-(int_leq(int_one, 228 ^ []))],extension(231 ^ 8)).
% 203.55/196.82 ncf('1.1.5.1.1.1.3',plain,[-(228 ^ [] = 228 ^ [])],extension(2 ^ 8,bind([[_44152], [228 ^ []]]))).
% 203.55/196.82 ncf('1.1.6',plain,[-(int_leq(229 ^ [], n))],extension(235 ^ 2)).
% 203.55/196.82 %-----------------------------------------------------
% 203.55/196.82 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------