TSTP Solution File: SWW950+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W078ic7qlq true

% Computer : n007.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 01:43:30 EDT 2023

% Result   : Theorem 1.41s 0.99s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   89 (  33 unt;  12 typ;   0 def)
%            Number of atoms       :  151 (  28 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  483 (  25   ~;  23   |;  10   &; 384   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   7 con; 0-2 aty)
%                                         (  21  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  100 (  21   ^;  79   !;   0   ?; 100   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tuple_T_in_1_type,type,
    tuple_T_in_1: $i > $i ).

thf(tuple_T_out_4_type,type,
    tuple_T_out_4: $i > $i ).

thf(constr_ZERO_type,type,
    constr_ZERO: $i ).

thf(name_k0x30_type,type,
    name_k0x30: $i ).

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

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

thf(tuple_T_out_2_type,type,
    tuple_T_out_2: $i > $i ).

thf(constr_CONST_0x30_type,type,
    constr_CONST_0x30: $i ).

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

thf(tuple_T_in_3_type,type,
    tuple_T_in_3: $i > $i > $i ).

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

thf(name_ki_type,type,
    name_ki: $i ).

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_cl75,plain,
    ~ ( pred_attacker @ name_objective ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax67,axiom,
    pred_attacker @ constr_CONST_0x30 ).

thf(zip_derived_cl67,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(cnf,[status(esa)],[ax67]) ).

thf(ax61,axiom,
    ! [VAR_V_63: $i] :
      ( ( pred_attacker @ VAR_V_63 )
     => ( pred_attacker @ ( tuple_T_in_1 @ VAR_V_63 ) ) ) ).

thf(zip_derived_cl61,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( pred_attacker @ Y0 )
       => ( pred_attacker @ ( tuple_T_in_1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[ax61]) ).

thf(zip_derived_cl96,plain,
    ! [X2: $i] :
      ( ( pred_attacker @ X2 )
     => ( pred_attacker @ ( tuple_T_in_1 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl97,plain,
    ! [X2: $i] :
      ( ~ ( pred_attacker @ X2 )
      | ( pred_attacker @ ( tuple_T_in_1 @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl96]) ).

thf(ax47,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_cl47,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( constr_xor @ Y0 @ Y1 )
            = ( constr_xor @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[ax47]) ).

thf(zip_derived_cl108,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( constr_xor @ X2 @ Y0 )
          = ( constr_xor @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl109,plain,
    ! [X2: $i,X4: $i] :
      ( ( constr_xor @ X2 @ X4 )
      = ( constr_xor @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl108]) ).

thf(zip_derived_cl110,plain,
    ! [X2: $i,X4: $i] :
      ( ( constr_xor @ X2 @ X4 )
      = ( constr_xor @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl109]) ).

thf(ax46,axiom,
    ! [VAR_X_9: $i] :
      ( ( constr_xor @ VAR_X_9 @ constr_ZERO )
      = VAR_X_9 ) ).

thf(zip_derived_cl46,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( constr_xor @ Y0 @ constr_ZERO )
        = Y0 ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(zip_derived_cl88,plain,
    ! [X2: $i] :
      ( ( constr_xor @ X2 @ constr_ZERO )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl89,plain,
    ! [X2: $i] :
      ( ( constr_xor @ X2 @ constr_ZERO )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ( constr_xor @ constr_ZERO @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl89]) ).

thf(ax58,axiom,
    ! [VAR_V_48: $i,VAR_V_49: $i] :
      ( ( ( pred_attacker @ VAR_V_49 )
        & ( pred_attacker @ VAR_V_48 ) )
     => ( pred_attacker @ ( tuple_T_in_3 @ VAR_V_48 @ VAR_V_49 ) ) ) ).

thf(zip_derived_cl58,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( ( pred_attacker @ Y1 )
              & ( pred_attacker @ Y0 ) )
           => ( pred_attacker @ ( tuple_T_in_3 @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[ax58]) ).

thf(zip_derived_cl160,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( pred_attacker @ Y0 )
            & ( pred_attacker @ X2 ) )
         => ( pred_attacker @ ( tuple_T_in_3 @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl161,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( pred_attacker @ X4 )
        & ( pred_attacker @ X2 ) )
     => ( pred_attacker @ ( tuple_T_in_3 @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl160]) ).

thf(zip_derived_cl162,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( pred_attacker @ X4 )
          & ( pred_attacker @ X2 ) )
      | ( pred_attacker @ ( tuple_T_in_3 @ X2 @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl161]) ).

thf(zip_derived_cl163,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( pred_attacker @ X4 )
      | ~ ( pred_attacker @ X2 )
      | ( pred_attacker @ ( tuple_T_in_3 @ X2 @ X4 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl162]) ).

thf(ax74,axiom,
    ! [VAR_A_143: $i,VAR_R_144: $i] :
      ( ( ( pred_attacker @ ( tuple_T_in_1 @ VAR_R_144 ) )
        & ( pred_attacker @ ( tuple_T_in_3 @ VAR_A_143 @ ( constr_h @ ( constr_xor @ VAR_A_143 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) )
     => ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ) ).

thf(zip_derived_cl74,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( ( pred_attacker @ ( tuple_T_in_1 @ Y1 ) )
              & ( pred_attacker @ ( tuple_T_in_3 @ Y0 @ ( constr_h @ ( constr_xor @ Y0 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) )
           => ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ) ) ),
    inference(cnf,[status(esa)],[ax74]) ).

thf(zip_derived_cl177,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( pred_attacker @ ( tuple_T_in_1 @ Y0 ) )
            & ( pred_attacker @ ( tuple_T_in_3 @ X2 @ ( constr_h @ ( constr_xor @ X2 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) )
         => ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl178,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( pred_attacker @ ( tuple_T_in_1 @ X4 ) )
        & ( pred_attacker @ ( tuple_T_in_3 @ X2 @ ( constr_h @ ( constr_xor @ X2 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) )
     => ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl177]) ).

thf(zip_derived_cl179,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( pred_attacker @ ( tuple_T_in_1 @ X4 ) )
          & ( pred_attacker @ ( tuple_T_in_3 @ X2 @ ( constr_h @ ( constr_xor @ X2 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) )
      | ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl178]) ).

thf(zip_derived_cl180,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( pred_attacker @ ( tuple_T_in_1 @ X4 ) )
      | ~ ( pred_attacker @ ( tuple_T_in_3 @ X2 @ ( constr_h @ ( constr_xor @ X2 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) )
      | ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl179]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( constr_h @ ( constr_xor @ X0 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) )
      | ~ ( pred_attacker @ ( tuple_T_in_1 @ X1 ) )
      | ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl180]) ).

thf(zip_derived_cl708,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ constr_ZERO )
      | ~ ( pred_attacker @ ( constr_h @ ( constr_xor @ name_k0x30 @ name_ki ) ) )
      | ~ ( pred_attacker @ ( tuple_T_in_1 @ X0 ) )
      | ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl181]) ).

thf(ax53,axiom,
    pred_attacker @ constr_ZERO ).

thf(zip_derived_cl53,plain,
    pred_attacker @ constr_ZERO,
    inference(cnf,[status(esa)],[ax53]) ).

thf(ax45,axiom,
    ! [VAR_X_10X30: $i] :
      ( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
      = constr_ZERO ) ).

thf(zip_derived_cl45,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( constr_xor @ Y0 @ Y0 )
        = constr_ZERO ) ),
    inference(cnf,[status(esa)],[ax45]) ).

thf(zip_derived_cl86,plain,
    ! [X2: $i] :
      ( ( constr_xor @ X2 @ X2 )
      = constr_ZERO ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl87,plain,
    ! [X2: $i] :
      ( ( constr_xor @ X2 @ X2 )
      = constr_ZERO ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl87_001,plain,
    ! [X2: $i] :
      ( ( constr_xor @ X2 @ X2 )
      = constr_ZERO ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl86]) ).

thf(ax48,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_cl48,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( constr_xor @ Y0 @ ( constr_xor @ Y1 @ Y2 ) )
                = ( constr_xor @ ( constr_xor @ Y0 @ Y1 ) @ Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[ax48]) ).

thf(zip_derived_cl117,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( constr_xor @ X2 @ ( constr_xor @ Y0 @ Y1 ) )
              = ( constr_xor @ ( constr_xor @ X2 @ Y0 ) @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl118,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( constr_xor @ X2 @ ( constr_xor @ X4 @ Y0 ) )
          = ( constr_xor @ ( constr_xor @ X2 @ X4 ) @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl119,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( constr_xor @ X2 @ ( constr_xor @ X4 @ X6 ) )
      = ( constr_xor @ ( constr_xor @ X2 @ X4 ) @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl120,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( constr_xor @ X2 @ ( constr_xor @ X4 @ X6 ) )
      = ( constr_xor @ ( constr_xor @ X2 @ X4 ) @ X6 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = ( constr_xor @ constr_ZERO @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl120]) ).

thf(zip_derived_cl112_002,plain,
    ! [X0: $i] :
      ( ( constr_xor @ constr_ZERO @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl89]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl112]) ).

thf(zip_derived_cl110_003,plain,
    ! [X2: $i,X4: $i] :
      ( ( constr_xor @ X2 @ X4 )
      = ( constr_xor @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl132_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl112]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X0 @ ( constr_xor @ X1 @ X0 ) )
      = X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl132]) ).

thf(zip_derived_cl218,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ ( constr_xor @ X1 @ X0 ) @ X0 )
      = X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl197]) ).

thf(ax73,axiom,
    ! [VAR_R_10X308: $i] :
      ( ( pred_attacker @ ( tuple_T_in_1 @ VAR_R_10X308 ) )
     => ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ VAR_R_10X308 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) ) ).

thf(zip_derived_cl73,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( pred_attacker @ ( tuple_T_in_1 @ Y0 ) )
       => ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ Y0 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax73]) ).

thf(zip_derived_cl166,plain,
    ! [X2: $i] :
      ( ( pred_attacker @ ( tuple_T_in_1 @ X2 ) )
     => ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ X2 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl167,plain,
    ! [X2: $i] :
      ( ~ ( pred_attacker @ ( tuple_T_in_1 @ X2 ) )
      | ( pred_attacker @ ( tuple_T_out_2 @ ( constr_h @ ( constr_xor @ X2 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl166]) ).

thf(ax57,axiom,
    ! [VAR_V_44: $i] :
      ( ( pred_attacker @ ( tuple_T_out_2 @ VAR_V_44 ) )
     => ( pred_attacker @ VAR_V_44 ) ) ).

thf(zip_derived_cl57,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( pred_attacker @ ( tuple_T_out_2 @ Y0 ) )
       => ( pred_attacker @ Y0 ) ) ),
    inference(cnf,[status(esa)],[ax57]) ).

thf(zip_derived_cl92,plain,
    ! [X2: $i] :
      ( ( pred_attacker @ ( tuple_T_out_2 @ X2 ) )
     => ( pred_attacker @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl93,plain,
    ! [X2: $i] :
      ( ~ ( pred_attacker @ ( tuple_T_out_2 @ X2 ) )
      | ( pred_attacker @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( tuple_T_in_1 @ X0 ) )
      | ( pred_attacker @ ( constr_h @ ( constr_xor @ X0 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl93]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( tuple_T_in_1 @ ( constr_xor @ X0 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) )
      | ( pred_attacker @ ( constr_h @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl168]) ).

thf(zip_derived_cl97_005,plain,
    ! [X2: $i] :
      ( ~ ( pred_attacker @ X2 )
      | ( pred_attacker @ ( tuple_T_in_1 @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl571,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( constr_h @ X0 ) )
      | ~ ( pred_attacker @ ( constr_xor @ X0 @ ( constr_xor @ name_k0x30 @ name_ki ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl97]) ).

thf(zip_derived_cl636,plain,
    ( ( pred_attacker @ ( constr_h @ ( constr_xor @ name_k0x30 @ name_ki ) ) )
    | ~ ( pred_attacker @ constr_ZERO ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl571]) ).

thf(zip_derived_cl53_006,plain,
    pred_attacker @ constr_ZERO,
    inference(cnf,[status(esa)],[ax53]) ).

thf(zip_derived_cl648,plain,
    pred_attacker @ ( constr_h @ ( constr_xor @ name_k0x30 @ name_ki ) ),
    inference(demod,[status(thm)],[zip_derived_cl636,zip_derived_cl53]) ).

thf(zip_derived_cl716,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( tuple_T_in_1 @ X0 ) )
      | ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl53,zip_derived_cl648]) ).

thf(zip_derived_cl718,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_T_out_4 @ name_objective ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl716]) ).

thf(zip_derived_cl719,plain,
    pred_attacker @ ( tuple_T_out_4 @ name_objective ),
    inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl718]) ).

thf(ax55,axiom,
    ! [VAR_V_38: $i] :
      ( ( pred_attacker @ ( tuple_T_out_4 @ VAR_V_38 ) )
     => ( pred_attacker @ VAR_V_38 ) ) ).

thf(zip_derived_cl55,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( pred_attacker @ ( tuple_T_out_4 @ Y0 ) )
       => ( pred_attacker @ Y0 ) ) ),
    inference(cnf,[status(esa)],[ax55]) ).

thf(zip_derived_cl82,plain,
    ! [X2: $i] :
      ( ( pred_attacker @ ( tuple_T_out_4 @ X2 ) )
     => ( pred_attacker @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl83,plain,
    ! [X2: $i] :
      ( ~ ( pred_attacker @ ( tuple_T_out_4 @ X2 ) )
      | ( pred_attacker @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl751,plain,
    pred_attacker @ name_objective,
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl83]) ).

thf(zip_derived_cl752,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl751]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem  : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% 0.08/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W078ic7qlq true
% 0.16/0.37  % Computer : n007.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sun Aug 27 18:08:42 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.38  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.24/0.66  % Total configuration time : 435
% 0.24/0.66  % Estimated wc time : 1092
% 0.24/0.66  % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.38/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.38/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.82  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.41/0.99  % Solved by fo/fo1_lcnf.sh.
% 1.41/0.99  % done 243 iterations in 0.144s
% 1.41/0.99  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/0.99  % SZS output start Refutation
% See solution above
% 1.41/0.99  
% 1.41/0.99  
% 1.41/0.99  % Terminating...
% 1.58/1.08  % Runner terminated.
% 1.58/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------