%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV491+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 12:20:48 EDT 2023

% Result   : Theorem 24.30s 24.15s
% Output   : Proof 24.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV491+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.35  % Computer : n026.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Fri May 19 02:47:20 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 24.30/24.15  
% 24.30/24.15  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 24.30/24.15  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.30/24.15  %-----------------------------------------------------
% 24.30/24.15  ncf(matrix, plain, [(221 ^ _46570) ^ [] : [-(int_leq(int_one, 218 ^ []))], (223 ^ _46570) ^ [] : [-(int_leq(218 ^ [], n))], (225 ^ _46570) ^ [] : [-(int_leq(int_one, 219 ^ []))], (227 ^ _46570) ^ [] : [-(int_leq(219 ^ [], n))], (229 ^ _46570) ^ [] : [230 ^ _46570 : [(231 ^ _46570) ^ [] : [-(int_less(218 ^ [], 219 ^ []))], (233 ^ _46570) ^ [] : [a(218 ^ [], 219 ^ []) = real_zero]], 236 ^ _46570 : [(237 ^ _46570) ^ [] : [-(int_less(219 ^ [], 218 ^ []))], (239 ^ _46570) ^ [] : [a(218 ^ [], 219 ^ []) = real_zero]], 240 ^ _46570 : [(241 ^ _46570) ^ [] : [-(218 ^ [] = 219 ^ [])], (243 ^ _46570) ^ [] : [a(218 ^ [], 219 ^ []) = real_one]]], (48 ^ _46570) ^ [_48242, _48244, _48246, _48248] : [-(plus(_48248, _48244) = plus(_48246, _48242)), _48248 = _48246, _48244 = _48242], (58 ^ _46570) ^ [_48581, _48583, _48585, _48587] : [-(a(_48587, _48583) = a(_48585, _48581)), _48587 = _48585, _48583 = _48581], (2 ^ _46570) ^ [_46714] : [-(_46714 = _46714)], (4 ^ _46570) ^ [_46821, _46823] : [_46823 = _46821, -(_46821 = _46823)], (10 ^ _46570) ^ [_47025, _47027, _47029] : [-(_47029 = _47025), _47029 = _47027, _47027 = _47025], (20 ^ _46570) ^ [_47366, _47368, _47370, _47372] : [-(int_leq(_47370, _47366)), int_leq(_47372, _47368), _47372 = _47370, _47368 = _47366], (34 ^ _46570) ^ [_47790, _47792, _47794, _47796] : [-(int_less(_47794, _47790)), int_less(_47796, _47792), _47796 = _47794, _47792 = _47790], (78 ^ _46570) ^ [_49199, _49201] : [79 ^ _46570 : [(80 ^ _46570) ^ [] : [int_less(_49201, _49199)], (82 ^ _46570) ^ [] : [_49201 = _49199]], -(int_leq(_49201, _49199))], (68 ^ _46570) ^ [_48947, _48949] : [int_leq(_48949, _48947), -(int_less(_48949, _48947)), -(_48949 = _48947)], (86 ^ _46570) ^ [_49499, _49501, _49503] : [-(int_less(_49503, _49499)), int_less(_49503, _49501), int_less(_49501, _49499)], (96 ^ _46570) ^ [_49808, _49810] : [int_less(_49810, _49808), _49810 = _49808], (102 ^ _46570) ^ [_50019, _50021] : [-(int_less(_50021, _50019)), -(int_leq(_50019, _50021))], (108 ^ _46570) ^ [] : [-(int_less(int_zero, int_one))], (110 ^ _46570) ^ [_50268, _50270] : [-(plus(_50270, _50268) = plus(_50268, _50270))], (112 ^ _46570) ^ [_50354] : [-(plus(_50354, int_zero) = _50354)], (114 ^ _46570) ^ [_50492, _50494, _50496, _50498] : [-(int_leq(plus(_50498, _50494), plus(_50496, _50492))), int_less(_50498, _50496), int_leq(_50494, _50492)], (124 ^ _46570) ^ [_50852, _50854] : [int_less(_50854, _50852), 128 ^ _46570 : [(129 ^ _46570) ^ [] : [-(plus(_50854, 127 ^ [_50852, _50854]) = _50852)], (131 ^ _46570) ^ [] : [-(int_less(int_zero, 127 ^ [_50852, _50854]))]]], (133 ^ _46570) ^ [_51168, _51170] : [-(int_less(_51170, _51168)), 134 ^ _46570 : [(135 ^ _46570) ^ [_51263] : [plus(_51170, _51263) = _51168, int_less(int_zero, _51263)]]], (143 ^ _46570) ^ [_51556] : [int_less(int_zero, _51556), -(int_leq(int_one, _51556))], (149 ^ _46570) ^ [_51712] : [int_leq(int_one, _51712), -(int_less(int_zero, _51712))], (155 ^ _46570) ^ [] : [real_zero = real_one], (157 ^ _46570) ^ [_51950, _51952] : [int_leq(int_one, _51952), int_leq(_51952, n), int_leq(int_one, _51950), int_leq(_51950, n), 172 ^ _46570 : [(173 ^ _46570) ^ [_52481] : [int_less(int_zero, _52481), _51952 = plus(_51950, _52481), 180 ^ _46570 : [(181 ^ _46570) ^ [_52737] : [-(a(plus(_52737, _52481), _52737) = real_zero), int_leq(int_one, _52737), int_leq(_52737, _51950)]]], (191 ^ _46570) ^ [_53067] : [-(a(_53067, _53067) = real_one), int_leq(int_one, _53067), int_leq(_53067, _51950)], (201 ^ _46570) ^ [_53352] : [int_less(int_zero, _53352), _51950 = plus(_51952, _53352), 208 ^ _46570 : [(209 ^ _46570) ^ [_53608] : [-(a(_53608, plus(_53608, _53352)) = real_zero), int_leq(int_one, _53608), int_leq(_53608, _51952)]]]]]], input).
% 24.30/24.15  ncf('1',plain,[int_less(218 ^ [], 219 ^ []), 218 ^ [] = 219 ^ []],start(96 ^ 0,bind([[_49808, _49810], [219 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1',plain,[-(int_less(218 ^ [], 219 ^ [])), 237 : -(int_less(219 ^ [], 218 ^ [])), 241 : -(218 ^ [] = 219 ^ [])],extension(229 ^ 1)).
% 24.30/24.15  ncf('1.1.1',plain,[int_less(219 ^ [], 218 ^ []), 129 : -(plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]) = 218 ^ [])],extension(124 ^ 4,bind([[_50852, _50854], [218 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.1.1.1',plain,[plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]) = 218 ^ [], -(218 ^ [] = plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]))],extension(4 ^ 7,bind([[_46821, _46823], [218 ^ [], plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []])]]))).
% 24.30/24.15  ncf('1.1.1.1.1',plain,[218 ^ [] = plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 173 : int_less(int_zero, 127 ^ [218 ^ [], 219 ^ []]), 181 : -(a(plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 219 ^ []) = real_zero), 181 : int_leq(int_one, 219 ^ []), 181 : int_leq(219 ^ [], 219 ^ []), 173 : int_leq(int_one, 218 ^ []), 173 : int_leq(218 ^ [], n), 173 : int_leq(int_one, 219 ^ []), 173 : int_leq(219 ^ [], n)],extension(157 ^ 8,bind([[_51950, _51952, _52481, _52737], [219 ^ [], 218 ^ [], 127 ^ [218 ^ [], 219 ^ []], 219 ^ []]]))).
% 24.30/24.15  ncf('1.1.1.1.1.1',plain,[-(int_less(int_zero, 127 ^ [218 ^ [], 219 ^ []]))],extension(131 ^ 11)).
% 24.30/24.15  ncf('1.1.1.1.1.2',plain,[a(plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 219 ^ []) = real_zero, -(a(218 ^ [], 219 ^ []) = real_zero), a(218 ^ [], 219 ^ []) = a(plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 219 ^ [])],extension(10 ^ 13,bind([[_47025, _47027, _47029], [real_zero, a(plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 219 ^ []), a(218 ^ [], 219 ^ [])]]))).
% 24.30/24.15  ncf('1.1.1.1.1.2.1',plain,[a(218 ^ [], 219 ^ []) = real_zero],extension(239 ^ 14)).
% 24.30/24.15  ncf('1.1.1.1.1.2.2',plain,[-(a(218 ^ [], 219 ^ []) = a(plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 219 ^ [])), 218 ^ [] = plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 219 ^ [] = 219 ^ []],extension(58 ^ 14,bind([[_48581, _48583, _48585, _48587], [219 ^ [], 219 ^ [], plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]), 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.1.1.1.2.2.1',plain,[-(218 ^ [] = plus(219 ^ [], 127 ^ [218 ^ [], 219 ^ []]))],reduction('1.1.1.1')).
% 24.30/24.15  ncf('1.1.1.1.1.2.2.2',plain,[-(219 ^ [] = 219 ^ [])],extension(2 ^ 15,bind([[_46714], [219 ^ []]]))).
% 24.30/24.15  ncf('1.1.1.1.1.3',plain,[-(int_leq(int_one, 219 ^ []))],extension(225 ^ 13)).
% 24.30/24.15  ncf('1.1.1.1.1.4',plain,[-(int_leq(219 ^ [], 219 ^ [])), 80 : int_less(219 ^ [], 219 ^ [])],extension(78 ^ 13,bind([[_49199, _49201], [219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.1.1.1.1.4.1',plain,[-(int_less(219 ^ [], 219 ^ [])), -(int_leq(219 ^ [], 219 ^ []))],extension(102 ^ 16,bind([[_50019, _50021], [219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.1.1.1.1.4.1.1',plain,[int_leq(219 ^ [], 219 ^ [])],reduction('1.1.1.1.1')).
% 24.30/24.15  ncf('1.1.1.1.1.5',plain,[-(int_leq(int_one, 218 ^ []))],extension(221 ^ 9)).
% 24.30/24.15  ncf('1.1.1.1.1.6',plain,[-(int_leq(218 ^ [], n))],extension(223 ^ 9)).
% 24.30/24.15  ncf('1.1.1.1.1.7',plain,[-(int_leq(int_one, 219 ^ []))],extension(225 ^ 9)).
% 24.30/24.15  ncf('1.1.1.1.1.8',plain,[-(int_leq(219 ^ [], n))],extension(227 ^ 9)).
% 24.30/24.15  ncf('1.1.2',plain,[218 ^ [] = 219 ^ [], -(219 ^ [] = 218 ^ [])],extension(4 ^ 4,bind([[_46821, _46823], [219 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.2.1',plain,[219 ^ [] = 218 ^ [], -(218 ^ [] = 218 ^ []), 218 ^ [] = 219 ^ []],extension(10 ^ 5,bind([[_47025, _47027, _47029], [218 ^ [], 219 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.2.1.1',plain,[218 ^ [] = 218 ^ [], -(int_leq(218 ^ [], n)), int_leq(218 ^ [], n), n = n],extension(20 ^ 6,bind([[_47366, _47368, _47370, _47372], [n, n, 218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.2.1.1.1',plain,[int_leq(218 ^ [], n), int_leq(int_one, 218 ^ []), int_leq(int_one, 218 ^ []), int_leq(218 ^ [], n), 191 : -(a(218 ^ [], 218 ^ []) = real_one), 191 : int_leq(int_one, 218 ^ []), 191 : int_leq(218 ^ [], 218 ^ [])],extension(157 ^ 7,bind([[_51950, _51952, _53067], [218 ^ [], 218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.2.1.1.1.1',plain,[-(int_leq(int_one, 218 ^ []))],extension(221 ^ 8)).
% 24.30/24.15  ncf('1.1.2.1.1.1.2',plain,[-(int_leq(int_one, 218 ^ []))],extension(221 ^ 8)).
% 24.30/24.15  ncf('1.1.2.1.1.1.3',plain,[-(int_leq(218 ^ [], n))],reduction('1.1.2.1.1')).
% 24.30/24.15  ncf('1.1.2.1.1.1.4',plain,[a(218 ^ [], 218 ^ []) = real_one, -(a(218 ^ [], 219 ^ []) = real_one), a(218 ^ [], 219 ^ []) = a(218 ^ [], 218 ^ [])],extension(10 ^ 10,bind([[_47025, _47027, _47029], [real_one, a(218 ^ [], 218 ^ []), a(218 ^ [], 219 ^ [])]]))).
% 24.30/24.15  ncf('1.1.2.1.1.1.4.1',plain,[a(218 ^ [], 219 ^ []) = real_one],extension(243 ^ 11)).
% 24.30/24.15  ncf('1.1.2.1.1.1.4.2',plain,[-(a(218 ^ [], 219 ^ []) = a(218 ^ [], 218 ^ [])), 218 ^ [] = 218 ^ [], 219 ^ [] = 218 ^ []],extension(58 ^ 11,bind([[_48581, _48583, _48585, _48587], [218 ^ [], 219 ^ [], 218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.2.1.1.1.4.2.1',plain,[-(218 ^ [] = 218 ^ [])],reduction('1.1.2.1')).
% 24.30/24.15  ncf('1.1.2.1.1.1.4.2.2',plain,[-(219 ^ [] = 218 ^ [])],reduction('1.1.2')).
% 24.30/24.15  ncf('1.1.2.1.1.1.5',plain,[-(int_leq(int_one, 218 ^ []))],lemmata('[1, 1, 2, 1, 1].x')).
% 24.30/24.15  ncf('1.1.2.1.1.1.6',plain,[-(int_leq(218 ^ [], 218 ^ [])), 80 : int_less(218 ^ [], 218 ^ [])],extension(78 ^ 10,bind([[_49199, _49201], [218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.2.1.1.1.6.1',plain,[-(int_less(218 ^ [], 218 ^ [])), -(int_leq(218 ^ [], 218 ^ []))],extension(102 ^ 13,bind([[_50019, _50021], [218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.1.2.1.1.1.6.1.1',plain,[int_leq(218 ^ [], 218 ^ [])],reduction('1.1.2.1.1.1')).
% 24.30/24.15  ncf('1.1.2.1.1.2',plain,[-(int_leq(218 ^ [], n))],extension(223 ^ 7)).
% 24.30/24.15  ncf('1.1.2.1.1.3',plain,[-(n = n)],extension(2 ^ 7,bind([[_46714], [n]]))).
% 24.30/24.15  ncf('1.1.2.1.2',plain,[-(218 ^ [] = 219 ^ [])],reduction('1.1')).
% 24.30/24.15  ncf('1.2',plain,[-(218 ^ [] = 219 ^ []), 231 : -(int_less(218 ^ [], 219 ^ [])), 237 : -(int_less(219 ^ [], 218 ^ []))],extension(229 ^ 1)).
% 24.30/24.15  ncf('1.2.1',plain,[int_less(218 ^ [], 219 ^ []), 129 : -(plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]) = 219 ^ [])],extension(124 ^ 4,bind([[_50852, _50854], [219 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.2.1.1',plain,[plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]) = 219 ^ [], -(219 ^ [] = plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]))],extension(4 ^ 7,bind([[_46821, _46823], [219 ^ [], plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []])]]))).
% 24.30/24.15  ncf('1.2.1.1.1',plain,[219 ^ [] = plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]), 201 : int_less(int_zero, 127 ^ [219 ^ [], 218 ^ []]), 209 : -(a(218 ^ [], plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []])) = real_zero), 209 : int_leq(int_one, 218 ^ []), 209 : int_leq(218 ^ [], 218 ^ []), 201 : int_leq(int_one, 218 ^ []), 201 : int_leq(218 ^ [], n), 201 : int_leq(int_one, 219 ^ []), 201 : int_leq(219 ^ [], n)],extension(157 ^ 8,bind([[_51950, _51952, _53352, _53608], [219 ^ [], 218 ^ [], 127 ^ [219 ^ [], 218 ^ []], 218 ^ []]]))).
% 24.30/24.15  ncf('1.2.1.1.1.1',plain,[-(int_less(int_zero, 127 ^ [219 ^ [], 218 ^ []]))],extension(131 ^ 11)).
% 24.30/24.15  ncf('1.2.1.1.1.2',plain,[a(218 ^ [], plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []])) = real_zero, -(a(218 ^ [], 219 ^ []) = real_zero), a(218 ^ [], 219 ^ []) = a(218 ^ [], plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]))],extension(10 ^ 13,bind([[_47025, _47027, _47029], [real_zero, a(218 ^ [], plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []])), a(218 ^ [], 219 ^ [])]]))).
% 24.30/24.15  ncf('1.2.1.1.1.2.1',plain,[a(218 ^ [], 219 ^ []) = real_zero],extension(233 ^ 14)).
% 24.30/24.15  ncf('1.2.1.1.1.2.2',plain,[-(a(218 ^ [], 219 ^ []) = a(218 ^ [], plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]))), 218 ^ [] = 218 ^ [], 219 ^ [] = plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []])],extension(58 ^ 14,bind([[_48581, _48583, _48585, _48587], [plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]), 219 ^ [], 218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.2.1.1.1.2.2.1',plain,[-(218 ^ [] = 218 ^ [])],extension(2 ^ 15,bind([[_46714], [218 ^ []]]))).
% 24.30/24.15  ncf('1.2.1.1.1.2.2.2',plain,[-(219 ^ [] = plus(218 ^ [], 127 ^ [219 ^ [], 218 ^ []]))],reduction('1.2.1.1')).
% 24.30/24.15  ncf('1.2.1.1.1.3',plain,[-(int_leq(int_one, 218 ^ []))],extension(221 ^ 13)).
% 24.30/24.15  ncf('1.2.1.1.1.4',plain,[-(int_leq(218 ^ [], 218 ^ [])), 80 : int_less(218 ^ [], 218 ^ [])],extension(78 ^ 13,bind([[_49199, _49201], [218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.2.1.1.1.4.1',plain,[-(int_less(218 ^ [], 218 ^ [])), -(int_leq(218 ^ [], 218 ^ []))],extension(102 ^ 16,bind([[_50019, _50021], [218 ^ [], 218 ^ []]]))).
% 24.30/24.15  ncf('1.2.1.1.1.4.1.1',plain,[int_leq(218 ^ [], 218 ^ [])],reduction('1.2.1.1.1')).
% 24.30/24.15  ncf('1.2.1.1.1.5',plain,[-(int_leq(int_one, 218 ^ []))],extension(221 ^ 9)).
% 24.30/24.15  ncf('1.2.1.1.1.6',plain,[-(int_leq(218 ^ [], n))],extension(223 ^ 9)).
% 24.30/24.15  ncf('1.2.1.1.1.7',plain,[-(int_leq(int_one, 219 ^ []))],extension(225 ^ 9)).
% 24.30/24.15  ncf('1.2.1.1.1.8',plain,[-(int_leq(219 ^ [], n))],extension(227 ^ 9)).
% 24.30/24.15  ncf('1.2.2',plain,[int_less(219 ^ [], 218 ^ []), -(int_less(219 ^ [], 219 ^ [])), int_less(218 ^ [], 219 ^ [])],extension(86 ^ 4,bind([[_49499, _49501, _49503], [219 ^ [], 218 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1',plain,[int_less(219 ^ [], 219 ^ []), -(int_leq(219 ^ [], 219 ^ []))],extension(78 ^ 5,bind([[_49199, _49201], [219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1',plain,[int_leq(219 ^ [], 219 ^ []), -(int_leq(219 ^ [], 219 ^ [])), 219 ^ [] = 219 ^ [], 219 ^ [] = 219 ^ []],extension(20 ^ 6,bind([[_47366, _47368, _47370, _47372], [219 ^ [], 219 ^ [], 219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1.1',plain,[int_leq(219 ^ [], 219 ^ []), -(int_less(219 ^ [], 219 ^ [])), -(219 ^ [] = 219 ^ [])],extension(68 ^ 7,bind([[_48947, _48949], [219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1.1.1',plain,[int_less(219 ^ [], 219 ^ []), 219 ^ [] = 219 ^ []],extension(96 ^ 8,bind([[_49808, _49810], [219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1.1.1.1',plain,[-(219 ^ [] = 219 ^ [])],extension(2 ^ 9,bind([[_46714], [219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1.1.2',plain,[219 ^ [] = 219 ^ [], -(int_less(219 ^ [], 219 ^ [])), int_less(219 ^ [], 219 ^ []), 219 ^ [] = 219 ^ []],extension(34 ^ 8,bind([[_47790, _47792, _47794, _47796], [219 ^ [], 219 ^ [], 219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1.1.2.1',plain,[int_less(219 ^ [], 219 ^ []), 219 ^ [] = 219 ^ []],extension(96 ^ 9,bind([[_49808, _49810], [219 ^ [], 219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1.1.2.1.1',plain,[-(219 ^ [] = 219 ^ [])],reduction('1.2.2.1.1.1')).
% 24.30/24.15  ncf('1.2.2.1.1.1.2.2',plain,[-(int_less(219 ^ [], 219 ^ []))],reduction('1.2.2')).
% 24.30/24.15  ncf('1.2.2.1.1.1.2.3',plain,[-(219 ^ [] = 219 ^ [])],reduction('1.2.2.1.1.1')).
% 24.30/24.15  ncf('1.2.2.1.1.2',plain,[-(219 ^ [] = 219 ^ [])],extension(2 ^ 7,bind([[_46714], [219 ^ []]]))).
% 24.30/24.15  ncf('1.2.2.1.1.3',plain,[-(219 ^ [] = 219 ^ [])],lemmata('[1, 2, 2, 1].x')).
% 24.30/24.15  ncf('1.2.2.2',plain,[-(int_less(218 ^ [], 219 ^ []))],lemmata('x')).
% 24.30/24.15  %-----------------------------------------------------
% 24.30/24.15  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------