TSTP Solution File: SWW950+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 12:26:51 EDT 2023

% Result   : Theorem 0.74s 1.39s
% Output   : Proof 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n005.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 : Thu May 18 22:07:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.74/1.39  
% 0.74/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.74/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/1.39  %-----------------------------------------------------
% 0.74/1.39  ncf(matrix, plain, [(338 ^ _66514) ^ [] : [pred_attacker(name_objective)], (2 ^ _66514) ^ [_66658] : [-(_66658 = _66658)], (4 ^ _66514) ^ [_66765, _66767] : [_66767 = _66765, -(_66765 = _66767)], (10 ^ _66514) ^ [_66969, _66971, _66973] : [-(_66973 = _66969), _66973 = _66971, _66971 = _66969], (20 ^ _66514) ^ [_67310, _67312, _67314, _67316] : [-(pred_mess(_67314, _67310)), pred_mess(_67316, _67312), _67316 = _67314, _67312 = _67310], (48 ^ _66514) ^ [_68150, _68152] : [-(pred_attacker(_68150)), _68152 = _68150, pred_attacker(_68152)], (34 ^ _66514) ^ [_67754, _67756, _67758, _67760] : [-(pred_equal(_67758, _67754)), pred_equal(_67760, _67756), _67760 = _67758, _67756 = _67754], (58 ^ _66514) ^ [_68455, _68457] : [_68457 = _68455, -(name_new0x2Dname(_68457) = name_new0x2Dname(_68455))], (64 ^ _66514) ^ [_68673, _68675] : [_68675 = _68673, -(tuple_T_out_2(_68675) = tuple_T_out_2(_68673))], (70 ^ _66514) ^ [_68919, _68921, _68923, _68925] : [-(tuple_T_in_3(_68925, _68921) = tuple_T_in_3(_68923, _68919)), _68925 = _68923, _68921 = _68919], (80 ^ _66514) ^ [_69250, _69252] : [_69252 = _69250, -(constr_h(_69252) = constr_h(_69250))], (86 ^ _66514) ^ [_69496, _69498, _69500, _69502] : [-(constr_xor(_69502, _69498) = constr_xor(_69500, _69496)), _69502 = _69500, _69498 = _69496], (96 ^ _66514) ^ [_69827, _69829] : [_69829 = _69827, -(tuple_T_in_1(_69829) = tuple_T_in_1(_69827))], (102 ^ _66514) ^ [_70025, _70027] : [_70027 = _70025, -(tuple_T_out_4(_70027) = tuple_T_out_4(_70025))], (108 ^ _66514) ^ [] : [constr_CONST_0x30 = constr_CONST_1], (110 ^ _66514) ^ [] : [constr_CONST_0x30 = constr_CONST_2], (112 ^ _66514) ^ [] : [constr_CONST_0x30 = constr_CONST_3], (114 ^ _66514) ^ [] : [constr_CONST_0x30 = constr_CONST_4], (116 ^ _66514) ^ [] : [constr_CONST_0x30 = constr_ZERO], (118 ^ _66514) ^ [] : [constr_CONST_0x30 = name_c], (120 ^ _66514) ^ [] : [constr_CONST_0x30 = name_k0x30], (122 ^ _66514) ^ [] : [constr_CONST_0x30 = name_ki], (124 ^ _66514) ^ [] : [constr_CONST_0x30 = name_objective], (126 ^ _66514) ^ [] : [constr_CONST_1 = constr_CONST_2], (128 ^ _66514) ^ [] : [constr_CONST_1 = constr_CONST_3], (130 ^ _66514) ^ [] : [constr_CONST_1 = constr_CONST_4], (132 ^ _66514) ^ [] : [constr_CONST_1 = constr_ZERO], (134 ^ _66514) ^ [] : [constr_CONST_1 = name_c], (136 ^ _66514) ^ [] : [constr_CONST_1 = name_k0x30], (138 ^ _66514) ^ [] : [constr_CONST_1 = name_ki], (140 ^ _66514) ^ [] : [constr_CONST_1 = name_objective], (142 ^ _66514) ^ [] : [constr_CONST_2 = constr_CONST_3], (144 ^ _66514) ^ [] : [constr_CONST_2 = constr_CONST_4], (146 ^ _66514) ^ [] : [constr_CONST_2 = constr_ZERO], (148 ^ _66514) ^ [] : [constr_CONST_2 = name_c], (150 ^ _66514) ^ [] : [constr_CONST_2 = name_k0x30], (152 ^ _66514) ^ [] : [constr_CONST_2 = name_ki], (154 ^ _66514) ^ [] : [constr_CONST_2 = name_objective], (156 ^ _66514) ^ [] : [constr_CONST_3 = constr_CONST_4], (158 ^ _66514) ^ [] : [constr_CONST_3 = constr_ZERO], (160 ^ _66514) ^ [] : [constr_CONST_3 = name_c], (162 ^ _66514) ^ [] : [constr_CONST_3 = name_k0x30], (164 ^ _66514) ^ [] : [constr_CONST_3 = name_ki], (166 ^ _66514) ^ [] : [constr_CONST_3 = name_objective], (168 ^ _66514) ^ [] : [constr_CONST_4 = constr_ZERO], (170 ^ _66514) ^ [] : [constr_CONST_4 = name_c], (172 ^ _66514) ^ [] : [constr_CONST_4 = name_k0x30], (174 ^ _66514) ^ [] : [constr_CONST_4 = name_ki], (176 ^ _66514) ^ [] : [constr_CONST_4 = name_objective], (178 ^ _66514) ^ [] : [constr_ZERO = name_c], (180 ^ _66514) ^ [] : [constr_ZERO = name_k0x30], (182 ^ _66514) ^ [] : [constr_ZERO = name_ki], (184 ^ _66514) ^ [] : [constr_ZERO = name_objective], (186 ^ _66514) ^ [] : [name_c = name_k0x30], (188 ^ _66514) ^ [] : [name_c = name_ki], (190 ^ _66514) ^ [] : [name_c = name_objective], (192 ^ _66514) ^ [] : [name_k0x30 = name_ki], (194 ^ _66514) ^ [] : [name_k0x30 = name_objective], (196 ^ _66514) ^ [] : [name_ki = name_objective], (198 ^ _66514) ^ [_72578] : [-(constr_xor(_72578, _72578) = constr_ZERO)], (200 ^ _66514) ^ [_72659] : [-(constr_xor(_72659, constr_ZERO) = _72659)], (202 ^ _66514) ^ [_72754, _72756] : [-(constr_xor(_72756, _72754) = constr_xor(_72754, _72756))], (204 ^ _66514) ^ [_72868, _72870, _72872] : [-(constr_xor(_72872, constr_xor(_72870, _72868)) = constr_xor(constr_xor(_72872, _72870), _72868))], (206 ^ _66514) ^ [_72991, _72993] : [-(pred_attacker(constr_xor(_72993, _72991))), pred_attacker(_72993), pred_attacker(_72991)], (216 ^ _66514) ^ [] : [-(pred_attacker(tuple_true))], (218 ^ _66514) ^ [_73329] : [pred_attacker(_73329), -(pred_attacker(constr_h(_73329)))], (224 ^ _66514) ^ [] : [-(pred_attacker(tuple_false))], (226 ^ _66514) ^ [] : [-(pred_attacker(constr_ZERO))], (228 ^ _66514) ^ [_73625] : [pred_attacker(_73625), -(pred_attacker(tuple_T_out_4(_73625)))], (234 ^ _66514) ^ [_73815] : [pred_attacker(tuple_T_out_4(_73815)), -(pred_attacker(_73815))], (240 ^ _66514) ^ [_74005] : [pred_attacker(_74005), -(pred_attacker(tuple_T_out_2(_74005)))], (246 ^ _66514) ^ [_74195] : [pred_attacker(tuple_T_out_2(_74195)), -(pred_attacker(_74195))], (252 ^ _66514) ^ [_74399, _74401] : [-(pred_attacker(tuple_T_in_3(_74401, _74399))), pred_attacker(_74401), pred_attacker(_74399)], (262 ^ _66514) ^ [_74698, _74700] : [pred_attacker(tuple_T_in_3(_74700, _74698)), -(pred_attacker(_74700))], (268 ^ _66514) ^ [_74910, _74912] : [pred_attacker(tuple_T_in_3(_74912, _74910)), -(pred_attacker(_74910))], (274 ^ _66514) ^ [_75108] : [pred_attacker(_75108), -(pred_attacker(tuple_T_in_1(_75108)))], (280 ^ _66514) ^ [_75298] : [pred_attacker(tuple_T_in_1(_75298)), -(pred_attacker(_75298))], (286 ^ _66514) ^ [] : [-(pred_attacker(constr_CONST_4))], (288 ^ _66514) ^ [] : [-(pred_attacker(constr_CONST_3))], (290 ^ _66514) ^ [] : [-(pred_attacker(constr_CONST_2))], (292 ^ _66514) ^ [] : [-(pred_attacker(constr_CONST_1))], (294 ^ _66514) ^ [] : [-(pred_attacker(constr_CONST_0x30))], (296 ^ _66514) ^ [_75767, _75769] : [-(pred_attacker(_75769)), pred_mess(_75767, _75769), pred_attacker(_75767)], (306 ^ _66514) ^ [_76062, _76064] : [-(pred_mess(_76062, _76064)), pred_attacker(_76062), pred_attacker(_76064)], (316 ^ _66514) ^ [] : [-(pred_attacker(name_c))], (318 ^ _66514) ^ [_76381] : [-(pred_equal(_76381, _76381))], (320 ^ _66514) ^ [_76459] : [-(pred_attacker(name_new0x2Dname(_76459)))], (322 ^ _66514) ^ [_76553] : [pred_attacker(tuple_T_in_1(_76553)), -(pred_attacker(tuple_T_out_2(constr_h(constr_xor(_76553, constr_xor(name_k0x30, name_ki))))))], (328 ^ _66514) ^ [_76751, _76753] : [-(pred_attacker(tuple_T_out_4(name_objective))), pred_attacker(tuple_T_in_3(_76753, constr_h(constr_xor(_76753, constr_xor(name_k0x30, name_ki))))), pred_attacker(tuple_T_in_1(_76751))]], input).
% 0.74/1.39  ncf('1',plain,[pred_attacker(name_objective)],start(338 ^ 0)).
% 0.74/1.39  ncf('1.1',plain,[-(pred_attacker(name_objective)), pred_attacker(tuple_T_out_4(name_objective))],extension(234 ^ 1,bind([[_73815], [name_objective]]))).
% 0.74/1.39  ncf('1.1.1',plain,[-(pred_attacker(tuple_T_out_4(name_objective))), pred_attacker(tuple_T_in_3(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki))))), pred_attacker(tuple_T_in_1(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))))],extension(328 ^ 2,bind([[_76751, _76753], [constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))]]))).
% 0.74/1.39  ncf('1.1.1.1',plain,[-(pred_attacker(tuple_T_in_3(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki)))))), pred_attacker(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))), pred_attacker(constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki))))],extension(252 ^ 3,bind([[_74399, _74401], [constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki))), constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))]]))).
% 0.74/1.39  ncf('1.1.1.1.1',plain,[-(pred_attacker(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))))), pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))],extension(206 ^ 4,bind([[_72991, _72993], [constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))]]))).
% 0.74/1.39  ncf('1.1.1.1.1.1',plain,[-(pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))), pred_attacker(constr_xor(tuple_true, tuple_true)), pred_attacker(constr_xor(tuple_true, tuple_true))],extension(206 ^ 5,bind([[_72991, _72993], [constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)]]))).
% 0.74/1.39  ncf('1.1.1.1.1.1.1',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.1.1.1.1.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.1.1.1.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.1.1.2',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.1.1.1.2.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.1.1.2.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.1.2',plain,[-(pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))), pred_attacker(constr_xor(tuple_true, tuple_true)), pred_attacker(constr_xor(tuple_true, tuple_true))],extension(206 ^ 5,bind([[_72991, _72993], [constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)]]))).
% 0.74/1.39  ncf('1.1.1.1.1.2.1',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.1.1.2.1.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.1.2.1.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.1.2.2',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.1.1.2.2.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.1.2.2.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.1.2',plain,[-(pred_attacker(constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki))))), pred_attacker(tuple_T_out_2(constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki)))))],extension(246 ^ 4,bind([[_74195], [constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki)))]]))).
% 0.74/1.39  ncf('1.1.1.1.2.1',plain,[-(pred_attacker(tuple_T_out_2(constr_h(constr_xor(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), constr_xor(name_k0x30, name_ki)))))), pred_attacker(tuple_T_in_1(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))))],extension(322 ^ 5,bind([[_76553], [constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))]]))).
% 0.74/1.39  ncf('1.1.1.1.2.1.1',plain,[-(pred_attacker(tuple_T_in_1(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))))), pred_attacker(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))))],extension(274 ^ 6,bind([[_75108], [constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))]]))).
% 0.74/1.39  ncf('1.1.1.1.2.1.1.1',plain,[-(pred_attacker(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))))],lemmata('[1, 1, 1].x')).
% 0.74/1.39  ncf('1.1.1.2',plain,[-(pred_attacker(tuple_T_in_1(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))))), pred_attacker(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))))],extension(274 ^ 3,bind([[_75108], [constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))]]))).
% 0.74/1.39  ncf('1.1.1.2.1',plain,[-(pred_attacker(constr_xor(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))))), pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))), pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))],extension(206 ^ 4,bind([[_72991, _72993], [constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)), constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true))]]))).
% 0.74/1.39  ncf('1.1.1.2.1.1',plain,[-(pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))), pred_attacker(constr_xor(tuple_true, tuple_true)), pred_attacker(constr_xor(tuple_true, tuple_true))],extension(206 ^ 5,bind([[_72991, _72993], [constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)]]))).
% 0.74/1.39  ncf('1.1.1.2.1.1.1',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.2.1.1.1.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.2.1.1.1.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.2.1.1.2',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.2.1.1.2.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.2.1.1.2.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.2.1.2',plain,[-(pred_attacker(constr_xor(constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)))), pred_attacker(constr_xor(tuple_true, tuple_true)), pred_attacker(constr_xor(tuple_true, tuple_true))],extension(206 ^ 5,bind([[_72991, _72993], [constr_xor(tuple_true, tuple_true), constr_xor(tuple_true, tuple_true)]]))).
% 0.74/1.39  ncf('1.1.1.2.1.2.1',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.2.1.2.1.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.2.1.2.1.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.2.1.2.2',plain,[-(pred_attacker(constr_xor(tuple_true, tuple_true))), pred_attacker(tuple_true), pred_attacker(tuple_true)],extension(206 ^ 6,bind([[_72991, _72993], [tuple_true, tuple_true]]))).
% 0.74/1.39  ncf('1.1.1.2.1.2.2.1',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  ncf('1.1.1.2.1.2.2.2',plain,[-(pred_attacker(tuple_true))],extension(216 ^ 7)).
% 0.74/1.39  %-----------------------------------------------------
% 0.74/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------