TSTP Solution File: SWW968+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW968+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 00:03:12 EDT 2022

% Result   : Theorem 8.56s 2.55s
% Output   : CNFRefutation 8.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   69 (  19 unt;   0 nHn;  56 RR)
%            Number of literals    :  173 (   8 equ; 108 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;   6 con; 0-5 aty)
%            Number of variables   :  144 (  67 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_186,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(tuple_client_A_in_8(X1))
    | ~ pred_attacker(tuple_client_A_in_6(X2))
    | ~ pred_attacker(tuple_client_A_in_4(X3))
    | ~ pred_attacker(tuple_client_A_in_2(X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_186) ).

cnf(i_0_135,plain,
    ( pred_attacker(tuple_client_A_in_8(X1))
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_135) ).

cnf(i_0_137,plain,
    ( pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_137) ).

cnf(i_0_139,plain,
    ( pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_139) ).

cnf(i_0_141,plain,
    ( pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_141) ).

cnf(i_0_182,plain,
    pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_182) ).

cnf(i_0_152,plain,
    ( pred_attacker(constr_cbc_4_get_2_prefixes(X1))
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_152) ).

cnf(i_0_84,plain,
    constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X5)) = constr_cbc_enc_2(X1,X2,X5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_84) ).

cnf(i_0_107,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_server_S_out_2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_107) ).

cnf(i_0_189,plain,
    ( pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X1,X2,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X4,name_Kbs),name_Kas)))
    | ~ pred_attacker(tuple_server_S_in_1(X4,X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_189) ).

cnf(i_0_187,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
    | ~ pred_attacker(tuple_client_A_in_8(X2))
    | ~ pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(tuple_client_A_in_4(X3))
    | ~ pred_attacker(tuple_client_A_in_2(X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_187) ).

cnf(i_0_108,plain,
    ( pred_attacker(tuple_server_S_in_1(X1,X2,X3))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_108) ).

cnf(i_0_122,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_9(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_122) ).

cnf(i_0_81,plain,
    constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X3),X3) = tuple_2(X1,X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_81) ).

cnf(i_0_92,plain,
    constr_tuple_2_get_0x30_bitstring(tuple_2(X1,X2)) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_92) ).

cnf(i_0_190,negated_conjecture,
    ~ pred_attacker(tuple_2(name_objective1,name_objective2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_190) ).

cnf(i_0_171,plain,
    ( pred_attacker(tuple_2(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_171) ).

cnf(i_0_114,plain,
    ( pred_attacker(constr_dec(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_114) ).

cnf(i_0_89,plain,
    constr_dec(constr_enc(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_89) ).

cnf(i_0_130,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_10(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7cglgvu0/input.p',i_0_130) ).

cnf(c_0_211,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(tuple_client_A_in_8(X1))
    | ~ pred_attacker(tuple_client_A_in_6(X2))
    | ~ pred_attacker(tuple_client_A_in_4(X3))
    | ~ pred_attacker(tuple_client_A_in_2(X4)) ),
    i_0_186 ).

cnf(c_0_212,plain,
    ( pred_attacker(tuple_client_A_in_8(X1))
    | ~ pred_attacker(X1) ),
    i_0_135 ).

cnf(c_0_213,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(tuple_client_A_in_4(X2))
    | ~ pred_attacker(tuple_client_A_in_2(X3))
    | ~ pred_attacker(X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_214,plain,
    ( pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(X1) ),
    i_0_137 ).

cnf(c_0_215,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(tuple_client_A_in_2(X2))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X4) ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_216,plain,
    ( pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(X1) ),
    i_0_139 ).

cnf(c_0_217,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_218,plain,
    ( pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(X1) ),
    i_0_141 ).

cnf(c_0_219,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X4) ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_220,plain,
    pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X1))),
    i_0_182 ).

cnf(c_0_221,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_222,plain,
    ( pred_attacker(constr_cbc_4_get_2_prefixes(X1))
    | ~ pred_attacker(X1) ),
    i_0_152 ).

cnf(c_0_223,plain,
    constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X5)) = constr_cbc_enc_2(X1,X2,X5),
    i_0_84 ).

cnf(c_0_224,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_server_S_out_2(X1)) ),
    i_0_107 ).

cnf(c_0_225,plain,
    ( pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X1,X2,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X4,name_Kbs),name_Kas)))
    | ~ pred_attacker(tuple_server_S_in_1(X4,X2,X1)) ),
    i_0_189 ).

cnf(c_0_226,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_221,c_0_220]) ).

cnf(c_0_227,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
    | ~ pred_attacker(tuple_client_A_in_8(X2))
    | ~ pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(tuple_client_A_in_4(X3))
    | ~ pred_attacker(tuple_client_A_in_2(X4)) ),
    i_0_187 ).

cnf(c_0_228,plain,
    ( pred_attacker(constr_cbc_enc_2(X1,X2,X3))
    | ~ pred_attacker(constr_cbc_enc_4(X1,X2,X4,X5,X3)) ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_229,plain,
    ( pred_attacker(constr_cbc_enc_4(X1,X2,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X4,name_Kbs),name_Kas))
    | ~ pred_attacker(tuple_server_S_in_1(X4,X2,X1)) ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_230,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective1))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_226,c_0_220]) ).

cnf(c_0_231,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
    | ~ pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(tuple_client_A_in_4(X2))
    | ~ pred_attacker(tuple_client_A_in_2(X3))
    | ~ pred_attacker(X4) ),
    inference(spm,[status(thm)],[c_0_227,c_0_212]) ).

cnf(c_0_232,plain,
    ( pred_attacker(constr_cbc_enc_2(X1,X2,name_Kas))
    | ~ pred_attacker(tuple_server_S_in_1(X3,X2,X1)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_233,plain,
    ( pred_attacker(tuple_server_S_in_1(X1,X2,X3))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    i_0_108 ).

cnf(c_0_234,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_9(X1)) ),
    i_0_122 ).

cnf(c_0_235,plain,
    pred_attacker(tuple_client_A_out_9(name_objective1)),
    inference(spm,[status(thm)],[c_0_230,c_0_220]) ).

cnf(c_0_236,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
    | ~ pred_attacker(tuple_client_A_in_4(X2))
    | ~ pred_attacker(tuple_client_A_in_2(X3))
    | ~ pred_attacker(X4)
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_214]) ).

cnf(c_0_237,plain,
    ( pred_attacker(constr_cbc_enc_2(X1,X2,name_Kas))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_238,plain,
    pred_attacker(name_objective1),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_239,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
    | ~ pred_attacker(tuple_client_A_in_2(X2))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X4) ),
    inference(spm,[status(thm)],[c_0_236,c_0_216]) ).

cnf(c_0_240,plain,
    ( pred_attacker(constr_cbc_enc_2(name_objective1,X1,name_Kas))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_241,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X4) ),
    inference(spm,[status(thm)],[c_0_239,c_0_218]) ).

cnf(c_0_242,plain,
    ( pred_attacker(constr_cbc_enc_2(name_objective1,name_objective1,name_Kas))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_238]) ).

cnf(c_0_243,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_241,c_0_235]) ).

cnf(c_0_244,plain,
    pred_attacker(constr_cbc_enc_2(name_objective1,name_objective1,name_Kas)),
    inference(spm,[status(thm)],[c_0_242,c_0_235]) ).

cnf(c_0_245,plain,
    constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X3),X3) = tuple_2(X1,X2),
    i_0_81 ).

cnf(c_0_246,plain,
    constr_tuple_2_get_0x30_bitstring(tuple_2(X1,X2)) = X1,
    i_0_92 ).

cnf(c_0_247,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,name_objective1)))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),c_0_246]) ).

cnf(c_0_248,plain,
    ( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,name_objective1)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_235]) ).

cnf(c_0_249,negated_conjecture,
    ~ pred_attacker(tuple_2(name_objective1,name_objective2)),
    i_0_190 ).

cnf(c_0_250,plain,
    ( pred_attacker(tuple_2(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    i_0_171 ).

cnf(c_0_251,plain,
    ( pred_attacker(constr_dec(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    i_0_114 ).

cnf(c_0_252,plain,
    constr_dec(constr_enc(X1,X2),X2) = X1,
    i_0_89 ).

cnf(c_0_253,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_10(X1)) ),
    i_0_130 ).

cnf(c_0_254,plain,
    pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,name_objective1))),
    inference(spm,[status(thm)],[c_0_248,c_0_235]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ pred_attacker(name_objective2)
    | ~ pred_attacker(name_objective1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_256,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_enc(X1,X2))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_257,plain,
    pred_attacker(constr_enc(name_objective2,name_objective1)),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_258,negated_conjecture,
    ~ pred_attacker(name_objective2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_238])]) ).

cnf(c_0_259,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_238])]),c_0_258]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWW968+1 : TPTP v8.1.0. Released v7.4.0.
% 0.13/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun  6 08:44:03 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  # ENIGMATIC: Selected complete mode:
% 8.56/2.55  # ENIGMATIC: Solved by autoschedule:
% 8.56/2.55  # No SInE strategy applied
% 8.56/2.55  # Trying AutoSched0 for 150 seconds
% 8.56/2.55  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.56/2.55  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.56/2.55  #
% 8.56/2.55  # Preprocessing time       : 0.027 s
% 8.56/2.55  # Presaturation interreduction done
% 8.56/2.55  
% 8.56/2.55  # Proof found!
% 8.56/2.55  # SZS status Theorem
% 8.56/2.55  # SZS output start CNFRefutation
% See solution above
% 8.56/2.55  # Training examples: 0 positive, 0 negative
% 8.56/2.55  
% 8.56/2.55  # -------------------------------------------------
% 8.56/2.55  # User time                : 0.070 s
% 8.56/2.55  # System time              : 0.008 s
% 8.56/2.55  # Total time               : 0.078 s
% 8.56/2.55  # Maximum resident set size: 7120 pages
% 8.56/2.55  
%------------------------------------------------------------------------------