TSTP Solution File: SWW952+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW952+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.da8zwrbe8v true

% Computer : n015.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 Sep  1 01:43:31 EDT 2023

% Result   : Theorem 1.38s 1.15s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   93 (  47 unt;  18 typ;   0 def)
%            Number of atoms       :  109 (  29 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  564 (  30   ~;  24   |;   2   &; 500   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   9 con; 0-2 aty)
%            Number of variables   :   98 (   0   ^;  98   !;   0   ?;  98   :)

% Comments : 
%------------------------------------------------------------------------------
thf(constr_ZERO_type,type,
    constr_ZERO: $i ).

thf(constr_rotate_type,type,
    constr_rotate: $i > $i > $i ).

thf(name_r1_type,type,
    name_r1: $i ).

thf(constr_QUERY_type,type,
    constr_QUERY: $i ).

thf(tuple_sess_1_out_2_type,type,
    tuple_sess_1_out_2: $i > $i > $i ).

thf(name_ID_type,type,
    name_ID: $i ).

thf(tuple_R_out_1_type,type,
    tuple_R_out_1: $i > $i > $i ).

thf(constr_xor_type,type,
    constr_xor: $i > $i > $i ).

thf(name_objective_type,type,
    name_objective: $i ).

thf(name_k_type,type,
    name_k: $i ).

thf(constr_split_L_type,type,
    constr_split_L: $i > $i ).

thf(tuple_R_out_4_type,type,
    tuple_R_out_4: $i > $i ).

thf(tuple_R_in_2_type,type,
    tuple_R_in_2: $i > $i > $i ).

thf(tuple_sess_1_out_1_type,type,
    tuple_sess_1_out_1: $i > $i ).

thf(name_r2_s1_type,type,
    name_r2_s1: $i ).

thf(constr_h_type,type,
    constr_h: $i > $i ).

thf(name_r1_s1_type,type,
    name_r1_s1: $i ).

thf(pred_attacker_type,type,
    pred_attacker: $i > $o ).

thf(ax95,axiom,
    ! [VAR_V_29: $i,VAR_V_30X30: $i] :
      ( ( ( pred_attacker @ VAR_V_29 )
        & ( pred_attacker @ VAR_V_30X30 ) )
     => ( pred_attacker @ ( constr_xor @ VAR_V_29 @ VAR_V_30X30 ) ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( constr_xor @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl95_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( constr_xor @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(ax132,axiom,
    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 ) ) ) ) ) ).

thf(zip_derived_cl132,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 ) ) ) ) ),
    inference(cnf,[status(esa)],[ax132]) ).

thf(ax93,axiom,
    ! [VAR_X_7: $i,VAR_Y_8: $i] :
      ( ( constr_xor @ VAR_X_7 @ VAR_Y_8 )
      = ( constr_xor @ VAR_Y_8 @ VAR_X_7 ) ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl93_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl93_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl298,plain,
    pred_attacker @ ( tuple_sess_1_out_2 @ name_r2_s1 @ ( 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(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl93,zip_derived_cl93,zip_derived_cl93]) ).

thf(ax103,axiom,
    ! [VAR_V_54: $i,VAR_V_55: $i] :
      ( ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_54 @ VAR_V_55 ) )
     => ( pred_attacker @ VAR_V_55 ) ) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax103]) ).

thf(zip_derived_cl655,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('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl103]) ).

thf(ax117,axiom,
    ! [VAR_V_10X300X30: $i,VAR_V_10X301: $i] :
      ( ( ( pred_attacker @ VAR_V_10X300X30 )
        & ( pred_attacker @ VAR_V_10X301 ) )
     => ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_10X300X30 @ VAR_V_10X301 ) ) ) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( tuple_R_in_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax117]) ).

thf(ax91,axiom,
    ! [VAR_X_10X30: $i] :
      ( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
      = constr_ZERO ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( constr_xor @ X0 @ X0 )
      = constr_ZERO ),
    inference(cnf,[status(esa)],[ax91]) ).

thf(ax94,axiom,
    ! [VAR_X_0X30: $i,VAR_Y_0X30: $i,VAR_Z_0X30: $i] :
      ( ( constr_xor @ VAR_X_0X30 @ ( constr_xor @ VAR_Y_0X30 @ VAR_Z_0X30 ) )
      = ( constr_xor @ ( constr_xor @ VAR_X_0X30 @ VAR_Y_0X30 ) @ VAR_Z_0X30 ) ) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X1 @ X2 ) )
      = ( constr_xor @ ( constr_xor @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[ax94]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = ( constr_xor @ constr_ZERO @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl94]) ).

thf(zip_derived_cl93_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(ax92,axiom,
    ! [VAR_X_9: $i] :
      ( ( constr_xor @ VAR_X_9 @ constr_ZERO )
      = VAR_X_9 ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( constr_xor @ X0 @ constr_ZERO )
      = X0 ),
    inference(cnf,[status(esa)],[ax92]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i] :
      ( ( constr_xor @ constr_ZERO @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl92]) ).

thf(zip_derived_cl310,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl294]) ).

thf(zip_derived_cl310_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl294]) ).

thf(ax136,axiom,
    ! [VAR_R2_30X303: $i] :
      ( ( pred_attacker @ ( tuple_R_in_2 @ VAR_R2_30X303 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ VAR_R2_30X303 ) @ name_k ) ) ) ) ) )
     => ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ X0 @ ( constr_split_L @ ( constr_xor @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ X0 ) @ name_k ) ) ) @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r1 @ X0 ) @ name_k ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax136]) ).

thf(zip_derived_cl94_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X1 @ X2 ) )
      = ( constr_xor @ ( constr_xor @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[ax94]) ).

thf(zip_derived_cl94_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X1 @ X2 ) )
      = ( constr_xor @ ( constr_xor @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[ax94]) ).

thf(zip_derived_cl93_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl315,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ X0 @ ( constr_split_L @ ( constr_xor @ ( constr_h @ ( constr_xor @ name_r1 @ ( constr_xor @ X0 @ name_k ) ) ) @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ name_r1 @ ( constr_xor @ X0 @ name_k ) ) ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl94,zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl94_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X1 @ X2 ) )
      = ( constr_xor @ ( constr_xor @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[ax94]) ).

thf(zip_derived_cl93_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X2 @ X1 ) )
      = ( constr_xor @ X2 @ ( constr_xor @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl300_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X2 @ X1 ) )
      = ( constr_xor @ X2 @ ( constr_xor @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl330,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ X0 @ ( constr_split_L @ ( constr_xor @ ( constr_h @ ( constr_xor @ name_k @ ( constr_xor @ name_r1 @ X0 ) ) ) @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ name_k @ ( constr_xor @ name_r1 @ X0 ) ) ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl300,zip_derived_cl300]) ).

thf(zip_derived_cl422,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ ( constr_xor @ name_r1 @ X0 ) @ ( constr_split_L @ ( constr_xor @ ( constr_h @ ( constr_xor @ name_k @ X0 ) ) @ ( constr_rotate @ name_ID @ ( constr_h @ ( constr_xor @ name_k @ X0 ) ) ) ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl330]) ).

thf(zip_derived_cl439,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ ( constr_xor @ name_r1 @ ( constr_xor @ name_k @ X0 ) ) @ ( constr_split_L @ ( constr_xor @ ( constr_h @ X0 ) @ ( constr_rotate @ name_ID @ ( constr_h @ X0 ) ) ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl422]) ).

thf(zip_derived_cl300_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X2 @ X1 ) )
      = ( constr_xor @ X2 @ ( constr_xor @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl456,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ ( constr_xor @ name_k @ ( constr_xor @ X0 @ name_r1 ) ) @ ( constr_split_L @ ( constr_xor @ ( constr_h @ X0 ) @ ( constr_rotate @ name_ID @ ( constr_h @ X0 ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl300]) ).

thf(zip_derived_cl755,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( constr_split_L @ ( constr_xor @ ( constr_h @ X0 ) @ ( constr_rotate @ name_ID @ ( constr_h @ X0 ) ) ) ) )
      | ~ ( pred_attacker @ ( constr_xor @ name_k @ ( constr_xor @ X0 @ name_r1 ) ) )
      | ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl456]) ).

thf(zip_derived_cl1295,plain,
    ( ~ ( pred_attacker @ ( constr_xor @ name_k @ ( constr_xor @ ( constr_xor @ name_k @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) ) @ name_r1 ) ) )
    | ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl755]) ).

thf(zip_derived_cl94_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X1 @ X2 ) )
      = ( constr_xor @ ( constr_xor @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[ax94]) ).

thf(zip_derived_cl94_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X1 @ X2 ) )
      = ( constr_xor @ ( constr_xor @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[ax94]) ).

thf(zip_derived_cl93_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl300_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X2 @ X1 ) )
      = ( constr_xor @ X2 @ ( constr_xor @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl93_017,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl310_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl294]) ).

thf(zip_derived_cl1296,plain,
    ( ~ ( pred_attacker @ ( constr_xor @ name_r1 @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) ) )
    | ( pred_attacker @ ( tuple_R_out_4 @ name_objective ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1295,zip_derived_cl94,zip_derived_cl94,zip_derived_cl93,zip_derived_cl300,zip_derived_cl93,zip_derived_cl310]) ).

thf(ax111,axiom,
    ! [VAR_V_74: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_74 ) )
     => ( pred_attacker @ VAR_V_74 ) ) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_R_out_4 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax111]) ).

thf(zip_derived_cl1298,plain,
    ( ~ ( pred_attacker @ ( constr_xor @ name_r1 @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) ) )
    | ( pred_attacker @ name_objective ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1296,zip_derived_cl111]) ).

thf(co0,conjecture,
    pred_attacker @ name_objective ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( pred_attacker @ name_objective ),
    inference('cnf.neg',[status(esa)],[co0]) ).

thf(zip_derived_cl137,plain,
    ~ ( pred_attacker @ name_objective ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1299,plain,
    ~ ( pred_attacker @ ( constr_xor @ name_r1 @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1298,zip_derived_cl137]) ).

thf(zip_derived_cl1301,plain,
    ( ~ ( pred_attacker @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) )
    | ~ ( pred_attacker @ name_r1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1299]) ).

thf(ax134,axiom,
    pred_attacker @ ( tuple_R_out_1 @ constr_QUERY @ name_r1 ) ).

thf(zip_derived_cl134,plain,
    pred_attacker @ ( tuple_R_out_1 @ constr_QUERY @ name_r1 ),
    inference(cnf,[status(esa)],[ax134]) ).

thf(ax116,axiom,
    ! [VAR_V_95: $i,VAR_V_96: $i] :
      ( ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_95 @ VAR_V_96 ) )
     => ( pred_attacker @ VAR_V_96 ) ) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_R_out_1 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax116]) ).

thf(zip_derived_cl726,plain,
    pred_attacker @ name_r1,
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl116]) ).

thf(zip_derived_cl1302,plain,
    ~ ( pred_attacker @ ( constr_xor @ name_r1_s1 @ name_r2_s1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1301,zip_derived_cl726]) ).

thf(zip_derived_cl1305,plain,
    ( ~ ( pred_attacker @ name_r2_s1 )
    | ~ ( pred_attacker @ name_r1_s1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1302]) ).

thf(zip_derived_cl298_019,plain,
    pred_attacker @ ( tuple_sess_1_out_2 @ name_r2_s1 @ ( 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(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl93,zip_derived_cl93,zip_derived_cl93]) ).

thf(ax102,axiom,
    ! [VAR_V_51: $i,VAR_V_52: $i] :
      ( ( pred_attacker @ ( tuple_sess_1_out_2 @ VAR_V_51 @ VAR_V_52 ) )
     => ( pred_attacker @ VAR_V_51 ) ) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i,X1: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_sess_1_out_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax102]) ).

thf(zip_derived_cl650,plain,
    pred_attacker @ name_r2_s1,
    inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl102]) ).

thf(ax131,axiom,
    pred_attacker @ ( tuple_sess_1_out_1 @ name_r1_s1 ) ).

thf(zip_derived_cl131,plain,
    pred_attacker @ ( tuple_sess_1_out_1 @ name_r1_s1 ),
    inference(cnf,[status(esa)],[ax131]) ).

thf(ax105,axiom,
    ! [VAR_V_61: $i] :
      ( ( pred_attacker @ ( tuple_sess_1_out_1 @ VAR_V_61 ) )
     => ( pred_attacker @ VAR_V_61 ) ) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_sess_1_out_1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax105]) ).

thf(zip_derived_cl293,plain,
    pred_attacker @ name_r1_s1,
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl105]) ).

thf(zip_derived_cl1306,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1305,zip_derived_cl650,zip_derived_cl293]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW952+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.da8zwrbe8v true
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 21:42:40 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.70/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.70/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.70/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.70/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.70/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.38/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 1.38/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 1.38/1.15  % Solved by fo/fo17_bce.sh.
% 1.38/1.15  % BCE start: 138
% 1.38/1.15  % BCE eliminated: 1
% 1.38/1.15  % PE start: 137
% 1.38/1.15  logic: eq
% 1.38/1.15  % PE eliminated: 2
% 1.38/1.15  % done 322 iterations in 0.331s
% 1.38/1.15  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/1.15  % SZS output start Refutation
% See solution above
% 1.38/1.15  
% 1.38/1.15  
% 1.38/1.15  % Terminating...
% 1.87/1.19  % Runner terminated.
% 1.87/1.20  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------