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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWW959+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n024.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 Jul 25 05:05:04 PM UTC 2025

% Result   : Theorem 1.96s 0.59s
% Output   : CNFRefutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (  22 unt;   0 def)
%            Number of atoms       :   67 (   3 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   53 (  23   ~;  20   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;   7 con; 0-2 aty)
%            Number of variables   :   28 (   5 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co0,plain,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

fof(co0_negated,plain,
    ~ pred_attacker(name_objective),
    inference(negate_conjecture,[status(cth)],[co0]) ).

cnf(168,plain,
    ~ pred_attacker(name_objective),
    inference(cnf,[status(esa)],[co0_negated]) ).

cnf(l0,plain,
    ~ pred_attacker(name_objective),
    inference(instantiation,[status(thm)],[168]) ).

fof(ax113,plain,
    ! [VAR_V_126] :
      ( pred_attacker(tuple_client_B_out_6(VAR_V_126))
     => pred_attacker(VAR_V_126) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).

cnf(113,plain,
    ( ~ pred_attacker(tuple_client_B_out_6(X0))
    | pred_attacker(X0) ),
    inference(cnf,[status(esa)],[ax113]) ).

cnf(l1,plain,
    ( ~ pred_attacker(tuple_client_B_out_6(name_objective))
    | pred_attacker(name_objective) ),
    inference(instantiation,[status(thm)],[113]) ).

fof(ax165,plain,
    ! [VAR_0X40SID_545,VAR_AENC_NA_A_547,VAR_AENC_NB_546,VAR_SIGN_A_PKA_548] :
      ( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545),constr_adec(VAR_AENC_NB_546,name_skB))
        & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547,name_skB)))
        & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).

cnf(165,plain,
    ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS))))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X2),constr_adec(X3,name_skB))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(tuple_client_B_in_5(X3))
    | ~ pred_attacker(tuple_client_B_in_2(X0))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(cnf,[status(esa)],[ax165]) ).

cnf(l2,plain,
    ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(tuple_out_1(constr_pkey(name_skA)),constr_pkey(name_skS))))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(name_c,name_skB)))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X2_2),constr_adec(constr_CONST_4,name_skB))
    | ~ pred_attacker(tuple_client_B_in_3(name_c))
    | ~ pred_attacker(tuple_client_B_in_5(constr_CONST_4))
    | ~ pred_attacker(tuple_client_B_in_2(tuple_out_1(constr_pkey(name_skA))))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(instantiation,[status(thm)],[165]) ).

fof(ax86,plain,
    ! [VAR_X_35,VAR_Y_36] : pred_eq_bitstring_bitstring(VAR_X_35,VAR_Y_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).

cnf(86,plain,
    pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf,[status(esa)],[ax86]) ).

cnf(l6,plain,
    pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(name_c,name_skB))),
    inference(instantiation,[status(thm)],[86]) ).

fof(ax123,plain,
    ! [VAR_V_163] :
      ( pred_attacker(VAR_V_163)
     => pred_attacker(tuple_client_B_in_2(VAR_V_163)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).

cnf(123,plain,
    ( ~ pred_attacker(X0)
    | pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(cnf,[status(esa)],[ax123]) ).

cnf(l17,plain,
    ( ~ pred_attacker(tuple_out_1(constr_pkey(name_skA)))
    | pred_attacker(tuple_client_B_in_2(tuple_out_1(constr_pkey(name_skA)))) ),
    inference(instantiation,[status(thm)],[123]) ).

fof(ax157,plain,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax157) ).

cnf(157,plain,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    inference(cnf,[status(esa)],[ax157]) ).

cnf(l18,plain,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    inference(instantiation,[status(thm)],[157]) ).

cnf(l13,plain,
    pred_eq_bitstring_bitstring(name_Nb(X2_2),constr_adec(constr_CONST_4,name_skB)),
    inference(instantiation,[status(thm)],[86]) ).

fof(ax79,plain,
    ! [VAR_K_16,VAR_M_15] : constr_dec(constr_enc(VAR_M_15,VAR_K_16),VAR_K_16) = VAR_M_15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).

cnf(79,plain,
    constr_dec(constr_enc(X0,X1),X1) = X0,
    inference(cnf,[status(esa)],[ax79]) ).

cnf(l4,plain,
    constr_dec(constr_enc(name_A,X1_4),X1_4) = name_A,
    inference(instantiation,[status(thm)],[79]) ).

fof(ax121,plain,
    ! [VAR_V_157] :
      ( pred_attacker(VAR_V_157)
     => pred_attacker(tuple_client_B_in_3(VAR_V_157)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).

cnf(121,plain,
    ( ~ pred_attacker(X0)
    | pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(cnf,[status(esa)],[ax121]) ).

cnf(l15,plain,
    ( ~ pred_attacker(name_c)
    | pred_attacker(tuple_client_B_in_3(name_c)) ),
    inference(instantiation,[status(thm)],[121]) ).

fof(ax149,plain,
    pred_attacker(name_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax149) ).

cnf(149,plain,
    pred_attacker(name_c),
    inference(cnf,[status(esa)],[ax149]) ).

cnf(l16,plain,
    pred_attacker(name_c),
    inference(instantiation,[status(thm)],[149]) ).

cnf(l10,plain,
    pred_eq_bitstring_bitstring(constr_dec(constr_enc(name_A,X1_4),X1_4),constr_tuple_2_get_0x30(constr_checksign(tuple_out_1(constr_pkey(name_skA)),constr_pkey(name_skS)))),
    inference(instantiation,[status(thm)],[86]) ).

fof(ax119,plain,
    ! [VAR_V_151] :
      ( pred_attacker(VAR_V_151)
     => pred_attacker(tuple_client_B_in_5(VAR_V_151)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).

cnf(119,plain,
    ( ~ pred_attacker(X0)
    | pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(cnf,[status(esa)],[ax119]) ).

cnf(l12,plain,
    ( ~ pred_attacker(constr_CONST_4)
    | pred_attacker(tuple_client_B_in_5(constr_CONST_4)) ),
    inference(instantiation,[status(thm)],[119]) ).

fof(ax139,plain,
    pred_attacker(constr_CONST_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).

cnf(139,plain,
    pred_attacker(constr_CONST_4),
    inference(cnf,[status(esa)],[ax139]) ).

cnf(l14,plain,
    pred_attacker(constr_CONST_4),
    inference(instantiation,[status(thm)],[139]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l17,l18,l13,l4,l15,l16,l10,l12,l14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW959+1 : TPTP v9.0.0. Released v7.4.0.
% 0.03/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n024.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  : 300
% 0.12/0.33  % DateTime : Tue Jul 22 15:01:19 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 9
% 0.19/0.35  % launching worker at depth: 10
% 0.19/0.44  % launching worker at depth: 11
% 1.96/0.59  % SZS status Theorem for theBenchmark
% 1.96/0.59  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------