TSTP Solution File: SWW957+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW957+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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  : 600s
% DateTime : Thu Jul 21 00:03:11 EDT 2022

% Result   : Theorem 7.85s 2.34s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   47 (  27 unt;   0 nHn;  33 RR)
%            Number of literals    :   70 (  16 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   56 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
    constr_xor(X1,constr_ZERO) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_50) ).

cnf(i_0_51,plain,
    constr_xor(X1,X2) = constr_xor(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_51) ).

cnf(i_0_52,plain,
    constr_xor(constr_xor(X1,X2),X3) = constr_xor(X1,constr_xor(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_52) ).

cnf(i_0_49,plain,
    constr_xor(X1,X1) = constr_ZERO,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_49) ).

cnf(i_0_83,plain,
    pred_attacker(tuple_B_out_1(name_v,constr_xor(constr_concat(name_objective,constr_C(name_objective)),constr_RC4(name_v,name_Kab)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_83) ).

cnf(i_0_53,plain,
    ( pred_attacker(constr_xor(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_53) ).

cnf(i_0_73,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_B_out_1(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_73) ).

cnf(i_0_82,plain,
    ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_concat(X1,constr_C(X1)),constr_RC4(name_v,name_Kab))))
    | ~ pred_attacker(tuple_enc_oracle_in_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_82) ).

cnf(i_0_48,plain,
    constr_xor(constr_C(X1),constr_C(X2)) = constr_C(constr_xor(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_48) ).

cnf(i_0_47,plain,
    constr_concat(constr_xor(X1,X2),constr_xor(X3,X4)) = constr_xor(constr_concat(X1,X3),constr_concat(X2,X4)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_47) ).

cnf(i_0_75,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_split(constr_concat(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_75) ).

cnf(i_0_55,plain,
    ( pred_attacker(constr_split(X1))
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_55) ).

cnf(i_0_84,negated_conjecture,
    ~ pred_attacker(name_objective),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_84) ).

cnf(i_0_59,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_enc_oracle_out_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_59) ).

cnf(i_0_60,plain,
    ( pred_attacker(tuple_enc_oracle_in_1(X1))
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_60) ).

cnf(i_0_63,plain,
    pred_attacker(constr_ZERO),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lnt485rm/input.p',i_0_63) ).

cnf(c_0_101,plain,
    constr_xor(X1,constr_ZERO) = X1,
    i_0_50 ).

cnf(c_0_102,plain,
    constr_xor(X1,X2) = constr_xor(X2,X1),
    i_0_51 ).

cnf(c_0_103,plain,
    constr_xor(constr_xor(X1,X2),X3) = constr_xor(X1,constr_xor(X2,X3)),
    i_0_52 ).

cnf(c_0_104,plain,
    constr_xor(X1,X1) = constr_ZERO,
    i_0_49 ).

cnf(c_0_105,plain,
    constr_xor(constr_ZERO,X1) = X1,
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_106,plain,
    pred_attacker(tuple_B_out_1(name_v,constr_xor(constr_concat(name_objective,constr_C(name_objective)),constr_RC4(name_v,name_Kab)))),
    i_0_83 ).

cnf(c_0_107,plain,
    ( pred_attacker(constr_xor(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    i_0_53 ).

cnf(c_0_108,plain,
    constr_xor(X1,constr_xor(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).

cnf(c_0_109,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_B_out_1(X2,X1)) ),
    i_0_73 ).

cnf(c_0_110,plain,
    pred_attacker(tuple_B_out_1(name_v,constr_xor(constr_RC4(name_v,name_Kab),constr_concat(name_objective,constr_C(name_objective))))),
    inference(rw,[status(thm)],[c_0_106,c_0_102]) ).

cnf(c_0_111,plain,
    ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_concat(X1,constr_C(X1)),constr_RC4(name_v,name_Kab))))
    | ~ pred_attacker(tuple_enc_oracle_in_1(X1)) ),
    i_0_82 ).

cnf(c_0_112,plain,
    constr_xor(constr_C(X1),constr_C(X2)) = constr_C(constr_xor(X1,X2)),
    i_0_48 ).

cnf(c_0_113,plain,
    constr_concat(constr_xor(X1,X2),constr_xor(X3,X4)) = constr_xor(constr_concat(X1,X3),constr_concat(X2,X4)),
    i_0_47 ).

cnf(c_0_114,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_split(constr_concat(X1,X2))) ),
    i_0_75 ).

cnf(c_0_115,plain,
    ( pred_attacker(constr_split(X1))
    | ~ pred_attacker(X1) ),
    i_0_55 ).

cnf(c_0_116,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_xor(X2,X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_117,plain,
    pred_attacker(constr_xor(constr_RC4(name_v,name_Kab),constr_concat(name_objective,constr_C(name_objective)))),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_118,plain,
    ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_RC4(name_v,name_Kab),constr_concat(X1,constr_C(X1)))))
    | ~ pred_attacker(tuple_enc_oracle_in_1(X1)) ),
    inference(rw,[status(thm)],[c_0_111,c_0_102]) ).

cnf(c_0_119,plain,
    constr_C(constr_ZERO) = constr_ZERO,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_112]),c_0_104]) ).

cnf(c_0_120,plain,
    constr_concat(constr_ZERO,constr_ZERO) = constr_ZERO,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_113]),c_0_104]),c_0_104]) ).

cnf(c_0_121,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_concat(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_122,plain,
    ( pred_attacker(constr_concat(name_objective,constr_C(name_objective)))
    | ~ pred_attacker(constr_RC4(name_v,name_Kab)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_123,negated_conjecture,
    ~ pred_attacker(name_objective),
    i_0_84 ).

cnf(c_0_124,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_enc_oracle_out_2(X2,X1)) ),
    i_0_59 ).

cnf(c_0_125,plain,
    ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_RC4(name_v,name_Kab)))
    | ~ pred_attacker(tuple_enc_oracle_in_1(constr_ZERO)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_101]) ).

cnf(c_0_126,plain,
    ~ pred_attacker(constr_RC4(name_v,name_Kab)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).

cnf(c_0_127,plain,
    ( pred_attacker(constr_RC4(name_v,name_Kab))
    | ~ pred_attacker(tuple_enc_oracle_in_1(constr_ZERO)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_128,plain,
    ~ pred_attacker(tuple_enc_oracle_in_1(constr_ZERO)),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_129,plain,
    ( pred_attacker(tuple_enc_oracle_in_1(X1))
    | ~ pred_attacker(X1) ),
    i_0_60 ).

cnf(c_0_130,plain,
    pred_attacker(constr_ZERO),
    i_0_63 ).

cnf(c_0_131,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW957+1 : TPTP v8.1.0. Released v7.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun  5 22:51:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.85/2.34  # ENIGMATIC: Solved by autoschedule:
% 7.85/2.34  # No SInE strategy applied
% 7.85/2.34  # Trying AutoSched0 for 150 seconds
% 7.85/2.34  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.85/2.34  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.85/2.34  #
% 7.85/2.34  # Preprocessing time       : 0.024 s
% 7.85/2.34  # Presaturation interreduction done
% 7.85/2.34  
% 7.85/2.34  # Proof found!
% 7.85/2.34  # SZS status Theorem
% 7.85/2.34  # SZS output start CNFRefutation
% See solution above
% 7.85/2.34  # Training examples: 0 positive, 0 negative
% 7.85/2.34  
% 7.85/2.34  # -------------------------------------------------
% 7.85/2.34  # User time                : 0.043 s
% 7.85/2.34  # System time              : 0.004 s
% 7.85/2.34  # Total time               : 0.047 s
% 7.85/2.34  # Maximum resident set size: 7120 pages
% 7.85/2.34  
%------------------------------------------------------------------------------