TSTP Solution File: SWW952+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW952+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 00:03:10 EDT 2022

% Result   : Theorem 14.74s 3.37s
% Output   : CNFRefutation 14.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   54 (  27 unt;   0 nHn;  43 RR)
%            Number of literals    :   96 (  11 equ;  45 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :   67 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_93,plain,
    constr_xor(X1,constr_ZERO) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_93) ).

cnf(i_0_94,plain,
    constr_xor(X1,X2) = constr_xor(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_94) ).

cnf(i_0_95,plain,
    constr_xor(constr_xor(X1,X2),X3) = constr_xor(X1,constr_xor(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_95) ).

cnf(i_0_92,plain,
    constr_xor(X1,X1) = constr_ZERO,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_92) ).

cnf(i_0_137,plain,
    ( pred_attacker(tuple_R_out_4(name_objective))
    | ~ pred_attacker(tuple_R_in_2(X1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X1),name_k))),constr_h(constr_xor(constr_xor(name_r1,X1),name_k)))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_137) ).

cnf(i_0_96,plain,
    ( pred_attacker(constr_xor(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_96) ).

cnf(i_0_133,plain,
    pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_133) ).

cnf(i_0_104,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_sess_1_out_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_104) ).

cnf(i_0_118,plain,
    ( pred_attacker(tuple_R_in_2(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_118) ).

cnf(i_0_112,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_R_out_4(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_112) ).

cnf(i_0_138,negated_conjecture,
    ~ pred_attacker(name_objective),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_138) ).

cnf(i_0_103,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_sess_1_out_2(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_103) ).

cnf(i_0_117,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_R_out_1(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_117) ).

cnf(i_0_135,plain,
    pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_135) ).

cnf(i_0_106,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_sess_1_out_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_106) ).

cnf(i_0_132,plain,
    pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nkpwqmf5/input.p',i_0_132) ).

cnf(c_0_155,plain,
    constr_xor(X1,constr_ZERO) = X1,
    i_0_93 ).

cnf(c_0_156,plain,
    constr_xor(X1,X2) = constr_xor(X2,X1),
    i_0_94 ).

cnf(c_0_157,plain,
    constr_xor(constr_xor(X1,X2),X3) = constr_xor(X1,constr_xor(X2,X3)),
    i_0_95 ).

cnf(c_0_158,plain,
    constr_xor(X1,X1) = constr_ZERO,
    i_0_92 ).

cnf(c_0_159,plain,
    constr_xor(constr_ZERO,X1) = X1,
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_160,plain,
    ( pred_attacker(tuple_R_out_4(name_objective))
    | ~ pred_attacker(tuple_R_in_2(X1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X1),name_k))),constr_h(constr_xor(constr_xor(name_r1,X1),name_k)))))) ),
    i_0_137 ).

cnf(c_0_161,plain,
    ( pred_attacker(constr_xor(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    i_0_96 ).

cnf(c_0_162,plain,
    constr_xor(X1,constr_xor(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).

cnf(c_0_163,plain,
    ( pred_attacker(tuple_R_out_4(name_objective))
    | ~ pred_attacker(tuple_R_in_2(X1,constr_split_L(constr_xor(constr_h(constr_xor(name_r1,constr_xor(X1,name_k))),constr_rotate(name_ID,constr_h(constr_xor(name_r1,constr_xor(X1,name_k)))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_157]),c_0_157]),c_0_156]) ).

cnf(c_0_164,plain,
    constr_xor(X1,constr_xor(X2,X3)) = constr_xor(X2,constr_xor(X3,X1)),
    inference(spm,[status(thm)],[c_0_157,c_0_156]) ).

cnf(c_0_165,plain,
    pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
    i_0_133 ).

cnf(c_0_166,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_xor(X2,X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_167,plain,
    ( pred_attacker(tuple_R_out_4(name_objective))
    | ~ pred_attacker(tuple_R_in_2(X1,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X1)))))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164]),c_0_164]) ).

cnf(c_0_168,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_sess_1_out_2(X2,X1)) ),
    i_0_104 ).

cnf(c_0_169,plain,
    pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_h(constr_xor(name_r1_s1,constr_xor(name_k,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_r1_s1,constr_xor(name_k,name_r2_s1)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_157]),c_0_156]),c_0_157]),c_0_156]),c_0_156]) ).

cnf(c_0_170,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_xor(X2,constr_xor(X3,X1)))
    | ~ pred_attacker(constr_xor(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_166,c_0_157]) ).

cnf(c_0_171,plain,
    ( pred_attacker(tuple_R_out_4(name_objective))
    | ~ pred_attacker(tuple_R_in_2(constr_xor(name_r1,X1),constr_split_L(constr_xor(constr_h(constr_xor(name_k,X1)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X1))))))) ),
    inference(spm,[status(thm)],[c_0_167,c_0_162]) ).

cnf(c_0_172,plain,
    ( pred_attacker(tuple_R_in_2(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    i_0_118 ).

cnf(c_0_173,plain,
    pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_r1_s1,constr_xor(name_k,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_r1_s1,constr_xor(name_k,name_r2_s1))))))),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_174,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_xor(X2,X3))
    | ~ pred_attacker(constr_xor(X3,X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_170,c_0_161]) ).

cnf(c_0_175,plain,
    ( pred_attacker(tuple_R_out_4(name_objective))
    | ~ pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,X1)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X1))))))
    | ~ pred_attacker(constr_xor(name_r1,X1)) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_176,plain,
    pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_164]),c_0_156]),c_0_164]),c_0_156]) ).

cnf(c_0_177,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_xor(X2,constr_xor(X3,X1)))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_162]),c_0_157]) ).

cnf(c_0_178,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_R_out_4(X1)) ),
    i_0_112 ).

cnf(c_0_179,plain,
    ( pred_attacker(tuple_R_out_4(name_objective))
    | ~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1))) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_180,negated_conjecture,
    ~ pred_attacker(name_objective),
    i_0_138 ).

cnf(c_0_181,plain,
    ( pred_attacker(constr_xor(X1,X2))
    | ~ pred_attacker(constr_xor(X3,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_177,c_0_162]) ).

cnf(c_0_182,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_sess_1_out_2(X1,X2)) ),
    i_0_103 ).

cnf(c_0_183,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_R_out_1(X2,X1)) ),
    i_0_117 ).

cnf(c_0_184,plain,
    pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
    i_0_135 ).

cnf(c_0_185,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_sess_1_out_1(X1)) ),
    i_0_106 ).

cnf(c_0_186,plain,
    pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
    i_0_132 ).

cnf(c_0_187,plain,
    ~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).

cnf(c_0_188,plain,
    ( pred_attacker(constr_xor(X1,constr_xor(X2,X3)))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_181,c_0_162]) ).

cnf(c_0_189,plain,
    pred_attacker(name_r2_s1),
    inference(spm,[status(thm)],[c_0_182,c_0_169]) ).

cnf(c_0_190,plain,
    pred_attacker(name_r1),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_191,plain,
    pred_attacker(name_r1_s1),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_192,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]),c_0_190]),c_0_191])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWW952+1 : TPTP v8.1.0. Released v7.4.0.
% 0.12/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun  5 19:31:56 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 14.74/3.37  # ENIGMATIC: Solved by autoschedule:
% 14.74/3.37  # No SInE strategy applied
% 14.74/3.37  # Trying AutoSched0 for 150 seconds
% 14.74/3.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.74/3.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 14.74/3.37  #
% 14.74/3.37  # Preprocessing time       : 0.027 s
% 14.74/3.37  # Presaturation interreduction done
% 14.74/3.37  
% 14.74/3.37  # Proof found!
% 14.74/3.37  # SZS status Theorem
% 14.74/3.37  # SZS output start CNFRefutation
% See solution above
% 14.74/3.37  # Training examples: 0 positive, 0 negative
% 14.74/3.37  
% 14.74/3.37  # -------------------------------------------------
% 14.74/3.37  # User time                : 0.950 s
% 14.74/3.37  # System time              : 0.028 s
% 14.74/3.37  # Total time               : 0.978 s
% 14.74/3.37  # Maximum resident set size: 7116 pages
% 14.74/3.37  
%------------------------------------------------------------------------------