TSTP Solution File: SWV236+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 12:20:14 EDT 2023

% Result   : Theorem 0.36s 1.39s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 02:09:12 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.36/1.39  
% 0.36/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.39  %-----------------------------------------------------
% 0.36/1.39  ncf(matrix, plain, [(230 ^ _48753) ^ [_56466] : [p(crypt(xor(km, exp), _56466)), p(_56466)], (20 ^ _48753) ^ [_49501, _49503] : [-(p(_49501)), _49503 = _49501, p(_49503)], (2 ^ _48753) ^ [_48897] : [-(_48897 = _48897)], (4 ^ _48753) ^ [_49004, _49006] : [_49006 = _49004, -(_49004 = _49006)], (10 ^ _48753) ^ [_49208, _49210, _49212] : [-(_49212 = _49208), _49212 = _49210, _49210 = _49208], (30 ^ _48753) ^ [_49826, _49828, _49830, _49832] : [-(decrypt(_49832, _49828) = decrypt(_49830, _49826)), _49832 = _49830, _49828 = _49826], (40 ^ _48753) ^ [_50185, _50187, _50189, _50191] : [-(crypt(_50191, _50187) = crypt(_50189, _50185)), _50191 = _50189, _50187 = _50185], (50 ^ _48753) ^ [_50524, _50526, _50528, _50530] : [-(xor(_50530, _50526) = xor(_50528, _50524)), _50530 = _50528, _50526 = _50524], (60 ^ _48753) ^ [_50852, _50854] : [-(xor(_50854, _50852) = xor(_50852, _50854))], (62 ^ _48753) ^ [_50966, _50968, _50970] : [-(xor(_50970, xor(_50968, _50966)) = xor(xor(_50970, _50968), _50966))], (64 ^ _48753) ^ [_51074, _51076] : [-(decrypt(_51076, crypt(_51076, _51074)) = _51074)], (66 ^ _48753) ^ [_51160] : [-(xor(_51160, id) = _51160)], (68 ^ _48753) ^ [_51241] : [-(xor(_51241, _51241) = id)], (70 ^ _48753) ^ [_51393, _51395, _51397, _51399, _51401] : [-(p(crypt(xor(km, _51395), decrypt(xor(_51393, _51395), crypt(xor(_51401, _51399), _51397))))), p(crypt(xor(_51401, _51399), _51397)), p(_51395), p(crypt(xor(km, imp), _51393))], (84 ^ _48753) ^ [_51883, _51885, _51887] : [-(p(crypt(xor(_51883, _51887), _51885))), p(crypt(xor(km, _51887), _51885)), p(_51887), p(crypt(xor(km, exp), _51883))], (98 ^ _48753) ^ [_52307, _52309] : [-(p(crypt(xor(km, xor(kp, _52307)), _52309))), p(_52309), p(_52307)], (108 ^ _48753) ^ [_52632, _52634, _52636] : [-(p(crypt(xor(km, xor(_52634, kp)), xor(_52636, _52632)))), p(_52636), p(crypt(xor(km, xor(kp, _52634)), _52632)), p(_52634)], (122 ^ _48753) ^ [_53082, _53084, _53086] : [-(p(crypt(xor(km, _53084), xor(_53082, _53086)))), p(_53086), p(crypt(xor(km, xor(_53084, kp)), _53082)), p(_53084)], (136 ^ _48753) ^ [_53512, _53514] : [-(p(crypt(_53512, _53514))), p(_53514), p(crypt(xor(km, data), _53512))], (146 ^ _48753) ^ [_53817, _53819] : [-(p(decrypt(_53817, _53819))), p(_53819), p(crypt(xor(km, data), _53817))], (156 ^ _48753) ^ [_54178, _54180, _54182, _54184, _54186, _54188] : [-(p(crypt(xor(_54180, _54178), decrypt(xor(_54184, _54182), crypt(_54188, _54186))))), p(crypt(_54188, _54186)), p(_54184), p(crypt(xor(km, imp), _54182)), p(crypt(xor(km, exp), _54180))], (174 ^ _48753) ^ [_54765, _54767] : [-(p(xor(_54767, _54765))), p(_54767), p(_54765)], (184 ^ _48753) ^ [_55064, _55066] : [-(p(_55064)), p(crypt(_55066, _55064)), p(_55066)], (210 ^ _48753) ^ [] : [-(p(kp))], (212 ^ _48753) ^ [] : [-(p(imp))], (214 ^ _48753) ^ [] : [-(p(data))], (216 ^ _48753) ^ [] : [-(p(id))], (218 ^ _48753) ^ [] : [-(p(pin))], (220 ^ _48753) ^ [] : [-(p(crypt(xor(km, pin), pp)))], (222 ^ _48753) ^ [] : [-(p(crypt(xor(km, exp), eurk)))], (224 ^ _48753) ^ [] : [-(p(crypt(xor(km, data), eurk)))], (226 ^ _48753) ^ [] : [-(p(exp))], (228 ^ _48753) ^ [] : [-(p(a))], (204 ^ _48753) ^ [_55662, _55664] : [p(crypt(xor(_55664, data), _55662)), -(p(crypt(_55664, _55662)))], (194 ^ _48753) ^ [_55363, _55365] : [-(p(crypt(_55365, _55363))), p(_55363), p(_55365)]], input).
% 0.36/1.39  ncf('1',plain,[p(crypt(xor(km, exp), xor(xor(crypt(xor(eurk, pin), pp), kp), crypt(xor(eurk, xor(kp, kp)), kp)))), p(xor(xor(crypt(xor(eurk, pin), pp), kp), crypt(xor(eurk, xor(kp, kp)), kp)))],start(230 ^ 0,bind([[_56466], [xor(xor(crypt(xor(eurk, pin), pp), kp), crypt(xor(eurk, xor(kp, kp)), kp))]]))).
% 0.36/1.39  ncf('1.1',plain,[-(p(crypt(xor(km, exp), xor(xor(crypt(xor(eurk, pin), pp), kp), crypt(xor(eurk, xor(kp, kp)), kp))))), p(crypt(xor(eurk, xor(kp, kp)), kp)), p(crypt(xor(km, xor(exp, kp)), xor(crypt(xor(eurk, pin), pp), kp))), p(exp)],extension(122 ^ 1,bind([[_53082, _53084, _53086], [xor(crypt(xor(eurk, pin), pp), kp), exp, crypt(xor(eurk, xor(kp, kp)), kp)]]))).
% 0.36/1.39  ncf('1.1.1',plain,[-(p(crypt(xor(eurk, xor(kp, kp)), kp))), p(crypt(xor(km, xor(kp, kp)), kp)), p(xor(kp, kp)), p(crypt(xor(km, exp), eurk))],extension(84 ^ 2,bind([[_51883, _51885, _51887], [eurk, kp, xor(kp, kp)]]))).
% 0.36/1.39  ncf('1.1.1.1',plain,[-(p(crypt(xor(km, xor(kp, kp)), kp))), p(kp), p(kp)],extension(98 ^ 3,bind([[_52307, _52309], [kp, kp]]))).
% 0.36/1.39  ncf('1.1.1.1.1',plain,[-(p(kp))],extension(210 ^ 4)).
% 0.36/1.39  ncf('1.1.1.1.2',plain,[-(p(kp))],extension(210 ^ 4)).
% 0.36/1.39  ncf('1.1.1.2',plain,[-(p(xor(kp, kp))), p(kp), p(kp)],extension(174 ^ 3,bind([[_54765, _54767], [kp, kp]]))).
% 0.36/1.39  ncf('1.1.1.2.1',plain,[-(p(kp))],extension(210 ^ 4)).
% 0.36/1.39  ncf('1.1.1.2.2',plain,[-(p(kp))],lemmata('[1, 1, 1].x')).
% 0.36/1.39  ncf('1.1.1.3',plain,[-(p(crypt(xor(km, exp), eurk)))],extension(222 ^ 3)).
% 0.36/1.39  ncf('1.1.2',plain,[-(p(crypt(xor(km, xor(exp, kp)), xor(crypt(xor(eurk, pin), pp), kp)))), p(crypt(xor(eurk, pin), pp)), p(crypt(xor(km, xor(kp, exp)), kp)), p(exp)],extension(108 ^ 2,bind([[_52632, _52634, _52636], [kp, exp, crypt(xor(eurk, pin), pp)]]))).
% 0.36/1.39  ncf('1.1.2.1',plain,[-(p(crypt(xor(eurk, pin), pp))), p(crypt(xor(km, pin), pp)), p(pin), p(crypt(xor(km, exp), eurk))],extension(84 ^ 3,bind([[_51883, _51885, _51887], [eurk, pp, pin]]))).
% 0.36/1.39  ncf('1.1.2.1.1',plain,[-(p(crypt(xor(km, pin), pp)))],extension(220 ^ 4)).
% 0.36/1.39  ncf('1.1.2.1.2',plain,[-(p(pin))],extension(218 ^ 4)).
% 0.36/1.39  ncf('1.1.2.1.3',plain,[-(p(crypt(xor(km, exp), eurk)))],extension(222 ^ 4)).
% 0.36/1.39  ncf('1.1.2.2',plain,[-(p(crypt(xor(km, xor(kp, exp)), kp))), p(kp), p(exp)],extension(98 ^ 3,bind([[_52307, _52309], [exp, kp]]))).
% 0.36/1.39  ncf('1.1.2.2.1',plain,[-(p(kp))],extension(210 ^ 4)).
% 0.36/1.39  ncf('1.1.2.2.2',plain,[-(p(exp))],extension(226 ^ 4)).
% 0.36/1.39  ncf('1.1.2.3',plain,[-(p(exp))],extension(226 ^ 3)).
% 0.36/1.39  ncf('1.1.3',plain,[-(p(exp))],extension(226 ^ 2)).
% 0.36/1.39  ncf('1.2',plain,[-(p(xor(xor(crypt(xor(eurk, pin), pp), kp), crypt(xor(eurk, xor(kp, kp)), kp)))), p(xor(crypt(xor(eurk, pin), pp), kp)), p(crypt(xor(eurk, xor(kp, kp)), kp))],extension(174 ^ 1,bind([[_54765, _54767], [crypt(xor(eurk, xor(kp, kp)), kp), xor(crypt(xor(eurk, pin), pp), kp)]]))).
% 0.36/1.39  ncf('1.2.1',plain,[-(p(xor(crypt(xor(eurk, pin), pp), kp))), p(crypt(xor(eurk, pin), pp)), p(kp)],extension(174 ^ 2,bind([[_54765, _54767], [kp, crypt(xor(eurk, pin), pp)]]))).
% 0.36/1.39  ncf('1.2.1.1',plain,[-(p(crypt(xor(eurk, pin), pp))), p(crypt(xor(km, pin), pp)), p(pin), p(crypt(xor(km, exp), eurk))],extension(84 ^ 3,bind([[_51883, _51885, _51887], [eurk, pp, pin]]))).
% 0.36/1.39  ncf('1.2.1.1.1',plain,[-(p(crypt(xor(km, pin), pp)))],extension(220 ^ 4)).
% 0.36/1.39  ncf('1.2.1.1.2',plain,[-(p(pin))],extension(218 ^ 4)).
% 0.36/1.39  ncf('1.2.1.1.3',plain,[-(p(crypt(xor(km, exp), eurk)))],extension(222 ^ 4)).
% 0.36/1.39  ncf('1.2.1.2',plain,[-(p(kp))],extension(210 ^ 3)).
% 0.36/1.39  ncf('1.2.2',plain,[-(p(crypt(xor(eurk, xor(kp, kp)), kp))), p(crypt(xor(km, xor(kp, kp)), kp)), p(xor(kp, kp)), p(crypt(xor(km, exp), eurk))],extension(84 ^ 2,bind([[_51883, _51885, _51887], [eurk, kp, xor(kp, kp)]]))).
% 0.36/1.39  ncf('1.2.2.1',plain,[-(p(crypt(xor(km, xor(kp, kp)), kp))), p(kp), p(kp)],extension(98 ^ 3,bind([[_52307, _52309], [kp, kp]]))).
% 0.36/1.39  ncf('1.2.2.1.1',plain,[-(p(kp))],extension(210 ^ 4)).
% 0.36/1.39  ncf('1.2.2.1.2',plain,[-(p(kp))],lemmata('[2, 2, 1].x')).
% 0.36/1.39  ncf('1.2.2.2',plain,[-(p(xor(kp, kp))), p(kp), p(kp)],extension(174 ^ 3,bind([[_54765, _54767], [kp, kp]]))).
% 0.36/1.39  ncf('1.2.2.2.1',plain,[-(p(kp))],extension(210 ^ 4)).
% 0.36/1.39  ncf('1.2.2.2.2',plain,[-(p(kp))],lemmata('[2, 2, 1].x')).
% 0.36/1.39  ncf('1.2.2.3',plain,[-(p(crypt(xor(km, exp), eurk)))],extension(222 ^ 3)).
% 0.36/1.39  %-----------------------------------------------------
% 0.36/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------