TSTP Solution File: SWV235+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV235+1 : TPTP v8.1.2. Released v3.2.0.
% 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 12:20:13 EDT 2023

% Result   : Theorem 43.24s 42.82s
% Output   : Proof 43.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV235+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n019.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 02:17:42 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 43.24/42.82  
% 43.24/42.82  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.24/42.82  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.24/42.82  %-----------------------------------------------------
% 43.24/42.82  ncf(matrix, plain, [(228 ^ _55520) ^ [] : [p(crypt(pp, a))], !, (184 ^ _48018) ^ [_54309, _54311] : [-(p(_54309)), p(crypt(_54311, _54309)), p(_54311)], (212 ^ _48018) ^ [] : [-(p(pin))], (220 ^ _48018) ^ [] : [-(p(crypt(xor(km, xor(imp, kp)), kek)))], (62 ^ _48018) ^ [_50211, _50213, _50215] : [-(xor(_50215, xor(_50213, _50211)) = xor(xor(_50215, _50213), _50211))], (204 ^ _48018) ^ [] : [-(p(kp))], (216 ^ _48018) ^ [] : [-(p(crypt(xor(km, imp), xor(rand, xor(imp, exp)))))], (2 ^ _48018) ^ [_48142] : [-(_48142 = _48142)], (206 ^ _48018) ^ [] : [-(p(imp))], (20 ^ _48018) ^ [_48746, _48748] : [-(p(_48746)), _48748 = _48746, p(_48748)], (84 ^ _48018) ^ [_51128, _51130, _51132] : [-(p(crypt(xor(_51128, _51132), _51130))), p(crypt(xor(km, _51132), _51130)), p(_51132), p(crypt(xor(km, exp), _51128))], (68 ^ _48018) ^ [_50486] : [-(xor(_50486, _50486) = id)], (108 ^ _48018) ^ [_51877, _51879, _51881] : [-(p(crypt(xor(km, xor(_51879, kp)), xor(_51881, _51877)))), p(_51881), p(crypt(xor(km, xor(kp, _51879)), _51877)), p(_51879)], (50 ^ _48018) ^ [_49769, _49771, _49773, _49775] : [-(crypt(_49775, _49771) = crypt(_49773, _49769)), _49775 = _49773, _49771 = _49769], (98 ^ _48018) ^ [_51552, _51554] : [-(p(crypt(xor(km, xor(kp, _51552)), _51554))), p(_51554), p(_51552)], (156 ^ _48018) ^ [_53423, _53425, _53427, _53429, _53431, _53433] : [-(p(crypt(xor(_53425, _53423), decrypt(xor(_53429, _53427), crypt(_53433, _53431))))), p(crypt(_53433, _53431)), p(_53429), p(crypt(xor(km, imp), _53427)), p(crypt(xor(km, exp), _53425))], (218 ^ _48018) ^ [] : [-(p(crypt(xor(km, imp), rand)))], (224 ^ _48018) ^ [] : [-(p(exp))], (60 ^ _48018) ^ [_50097, _50099] : [-(xor(_50099, _50097) = xor(_50097, _50099))], (194 ^ _48018) ^ [_54608, _54610] : [-(p(crypt(_54610, _54608))), p(_54608), p(_54610)], (10 ^ _48018) ^ [_48453, _48455, _48457] : [-(_48457 = _48453), _48457 = _48455, _48455 = _48453], (136 ^ _48018) ^ [_52757, _52759] : [-(p(crypt(_52757, _52759))), p(_52759), p(crypt(xor(km, data), _52757))], (208 ^ _48018) ^ [] : [-(p(data))], (64 ^ _48018) ^ [_50319, _50321] : [-(decrypt(_50321, crypt(_50321, _50319)) = _50319)], (122 ^ _48018) ^ [_52327, _52329, _52331] : [-(p(crypt(xor(km, _52329), xor(_52327, _52331)))), p(_52331), p(crypt(xor(km, xor(_52329, kp)), _52327)), p(_52329)], (222 ^ _48018) ^ [] : [-(p(crypt(xor(rand, imp), kek)))], (66 ^ _48018) ^ [_50405] : [-(xor(_50405, id) = _50405)], (226 ^ _48018) ^ [] : [-(p(a))], (146 ^ _48018) ^ [_53062, _53064] : [-(p(decrypt(_53062, _53064))), p(_53064), p(crypt(xor(km, data), _53062))], (40 ^ _48018) ^ [_49430, _49432, _49434, _49436] : [-(xor(_49436, _49432) = xor(_49434, _49430)), _49436 = _49434, _49432 = _49430], (30 ^ _48018) ^ [_49071, _49073, _49075, _49077] : [-(decrypt(_49077, _49073) = decrypt(_49075, _49071)), _49077 = _49075, _49073 = _49071], (174 ^ _48018) ^ [_54010, _54012] : [-(p(xor(_54012, _54010))), p(_54012), p(_54010)], (4 ^ _48018) ^ [_48249, _48251] : [_48251 = _48249, -(_48249 = _48251)], (70 ^ _48018) ^ [_50638, _50640, _50642, _50644, _50646] : [-(p(crypt(xor(km, _50640), decrypt(xor(_50638, _50640), crypt(xor(_50646, _50644), _50642))))), p(crypt(xor(_50646, _50644), _50642)), p(_50640), p(crypt(xor(km, imp), _50638))], (214 ^ _48018) ^ [] : [-(p(crypt(xor(km, pin), pp)))], (210 ^ _48018) ^ [] : [-(p(id))]], input).
% 43.24/42.82  ncf('1',plain,[p(crypt(pp, a))],start(228 ^ 0)).
% 43.24/42.82  ncf('1.1',plain,[-(p(crypt(pp, a))), p(a), p(pp)],extension(194 ^ 1,bind([[_54608, _54610], [a, pp]]))).
% 43.24/42.82  ncf('1.1.1',plain,[-(p(a))],extension(226 ^ 2)).
% 43.24/42.82  ncf('1.1.2',plain,[-(p(pp)), p(crypt(xor(xor(xor(pin, pin), pin), pin), pp)), p(xor(xor(xor(pin, pin), pin), pin))],extension(184 ^ 2,bind([[_54309, _54311], [pp, xor(xor(xor(pin, pin), pin), pin)]]))).
% 43.24/42.82  ncf('1.1.2.1',plain,[-(p(crypt(xor(xor(xor(pin, pin), pin), pin), pp))), p(crypt(xor(km, pin), pp)), p(pin), p(crypt(xor(km, exp), xor(xor(pin, pin), pin)))],extension(84 ^ 3,bind([[_51128, _51130, _51132], [xor(xor(pin, pin), pin), pp, pin]]))).
% 43.24/42.82  ncf('1.1.2.1.1',plain,[-(p(crypt(xor(km, pin), pp)))],extension(214 ^ 4)).
% 43.24/42.82  ncf('1.1.2.1.2',plain,[-(p(pin))],extension(212 ^ 4)).
% 43.24/42.82  ncf('1.1.2.1.3',plain,[-(p(crypt(xor(km, exp), xor(xor(pin, pin), pin)))), p(pin), p(crypt(xor(km, xor(exp, kp)), xor(pin, pin))), p(exp)],extension(122 ^ 4,bind([[_52327, _52329, _52331], [xor(pin, pin), exp, pin]]))).
% 43.24/42.82  ncf('1.1.2.1.3.1',plain,[-(p(pin))],extension(212 ^ 5)).
% 43.24/42.82  ncf('1.1.2.1.3.2',plain,[-(p(crypt(xor(km, xor(exp, kp)), xor(pin, pin)))), p(pin), p(crypt(xor(km, xor(kp, exp)), pin)), p(exp)],extension(108 ^ 5,bind([[_51877, _51879, _51881], [pin, exp, pin]]))).
% 43.24/42.82  ncf('1.1.2.1.3.2.1',plain,[-(p(pin))],extension(212 ^ 6)).
% 43.24/42.82  ncf('1.1.2.1.3.2.2',plain,[-(p(crypt(xor(km, xor(kp, exp)), pin))), p(pin), p(exp)],extension(98 ^ 6,bind([[_51552, _51554], [exp, pin]]))).
% 43.24/42.82  ncf('1.1.2.1.3.2.2.1',plain,[-(p(pin))],extension(212 ^ 7)).
% 43.24/42.82  ncf('1.1.2.1.3.2.2.2',plain,[-(p(exp))],extension(224 ^ 7)).
% 43.24/42.82  ncf('1.1.2.1.3.2.3',plain,[-(p(exp))],extension(224 ^ 6)).
% 43.24/42.82  ncf('1.1.2.1.3.3',plain,[-(p(exp))],extension(224 ^ 5)).
% 43.24/42.82  ncf('1.1.2.2',plain,[-(p(xor(xor(xor(pin, pin), pin), pin))), xor(xor(pin, pin), xor(pin, pin)) = xor(xor(xor(pin, pin), pin), pin), p(xor(xor(pin, pin), xor(pin, pin)))],extension(20 ^ 3,bind([[_48746, _48748], [xor(xor(xor(pin, pin), pin), pin), xor(xor(pin, pin), xor(pin, pin))]]))).
% 43.24/42.82  ncf('1.1.2.2.1',plain,[-(xor(xor(pin, pin), xor(pin, pin)) = xor(xor(xor(pin, pin), pin), pin))],extension(62 ^ 4,bind([[_50211, _50213, _50215], [pin, pin, xor(pin, pin)]]))).
% 43.24/42.82  ncf('1.1.2.2.2',plain,[-(p(xor(xor(pin, pin), xor(pin, pin)))), p(xor(pin, pin)), p(xor(pin, pin))],extension(174 ^ 4,bind([[_54010, _54012], [xor(pin, pin), xor(pin, pin)]]))).
% 43.24/42.82  ncf('1.1.2.2.2.1',plain,[-(p(xor(pin, pin))), p(pin), p(pin)],extension(174 ^ 5,bind([[_54010, _54012], [pin, pin]]))).
% 43.24/42.82  ncf('1.1.2.2.2.1.1',plain,[-(p(pin))],extension(212 ^ 6)).
% 43.24/42.82  ncf('1.1.2.2.2.1.2',plain,[-(p(pin))],lemmata('[2, 2, 2, 1, 1].x')).
% 43.24/42.82  ncf('1.1.2.2.2.2',plain,[-(p(xor(pin, pin)))],lemmata('[2, 2, 1, 1].x')).
% 43.24/42.82  %-----------------------------------------------------
% 43.24/42.82  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------