TSTP Solution File: SWW948+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW948+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.IR6lsLaYat true

% Computer : n006.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 0.58s 0.90s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   69 (  31 unt;  14 typ;   0 def)
%            Number of atoms       :   85 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  295 (  26   ~;  20   |;   2   &; 239   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   52 (   0   ^;  52   !;   0   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
thf(name_r1_from_1st_type,type,
    name_r1_from_1st: $i ).

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

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

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

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

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

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

thf(name_r0x30_from_1st_type,type,
    name_r0x30_from_1st: $i ).

thf(name_r0x30_type,type,
    name_r0x30: $i ).

thf(tuple_knowledge_from_1st_round_out_1_type,type,
    tuple_knowledge_from_1st_round_out_1: $i > $i ).

thf(tuple_knowledge_from_1st_round_out_2_type,type,
    tuple_knowledge_from_1st_round_out_2: $i > $i > $i ).

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

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

thf(name_objective_R_type,type,
    name_objective_R: $i ).

thf(ax70,axiom,
    ! [VAR_V_30X30: $i,VAR_V_31: $i] :
      ( ( ( pred_attacker @ VAR_V_30X30 )
        & ( pred_attacker @ VAR_V_31 ) )
     => ( pred_attacker @ ( constr_xor @ VAR_V_30X30 @ VAR_V_31 ) ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( constr_xor @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax70]) ).

thf(zip_derived_cl70_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( constr_xor @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax70]) ).

thf(ax102,axiom,
    pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ name_r1_from_1st @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) @ name_k ) ) ) ).

thf(zip_derived_cl102,plain,
    pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ name_r1_from_1st @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) @ name_k ) ) ),
    inference(cnf,[status(esa)],[ax102]) ).

thf(ax68,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_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax68]) ).

thf(zip_derived_cl239,plain,
    pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ name_r1_from_1st @ ( constr_h @ ( constr_xor @ name_k @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl68]) ).

thf(ax76,axiom,
    ! [VAR_V_52: $i,VAR_V_53: $i] :
      ( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ VAR_V_52 @ VAR_V_53 ) )
     => ( pred_attacker @ VAR_V_53 ) ) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax76]) ).

thf(zip_derived_cl465,plain,
    pred_attacker @ ( constr_h @ ( constr_xor @ name_k @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl76]) ).

thf(ax88,axiom,
    ! [VAR_V_83: $i,VAR_V_84: $i] :
      ( ( ( pred_attacker @ VAR_V_83 )
        & ( pred_attacker @ VAR_V_84 ) )
     => ( pred_attacker @ ( tuple_R_in_2 @ VAR_V_83 @ VAR_V_84 ) ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( tuple_R_in_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax88]) ).

thf(ax66,axiom,
    ! [VAR_X_10X30: $i] :
      ( ( constr_xor @ VAR_X_10X30 @ VAR_X_10X30 )
      = constr_ZERO ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( constr_xor @ X0 @ X0 )
      = constr_ZERO ),
    inference(cnf,[status(esa)],[ax66]) ).

thf(ax69,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_cl69,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)],[ax69]) ).

thf(zip_derived_cl256,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = ( constr_xor @ constr_ZERO @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl69]) ).

thf(zip_derived_cl68_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax68]) ).

thf(ax67,axiom,
    ! [VAR_X_9: $i] :
      ( ( constr_xor @ VAR_X_9 @ constr_ZERO )
      = VAR_X_9 ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( constr_xor @ X0 @ constr_ZERO )
      = X0 ),
    inference(cnf,[status(esa)],[ax67]) ).

thf(zip_derived_cl240,plain,
    ! [X0: $i] :
      ( ( constr_xor @ constr_ZERO @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ ( constr_xor @ X1 @ X0 ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl240]) ).

thf(ax106,axiom,
    ! [VAR_R1_IN_244: $i] :
      ( ( pred_attacker @ ( tuple_R_in_2 @ VAR_R1_IN_244 @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ VAR_R1_IN_244 ) @ name_k ) ) ) )
     => ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) ) ) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ X0 @ ( constr_h @ ( constr_xor @ ( constr_xor @ name_r0x30 @ X0 ) @ name_k ) ) ) ) ),
    inference(cnf,[status(esa)],[ax106]) ).

thf(zip_derived_cl68_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_xor @ X1 @ X0 )
      = ( constr_xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax68]) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ X0 @ ( constr_h @ ( constr_xor @ name_k @ ( constr_xor @ name_r0x30 @ X0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).

thf(zip_derived_cl349,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) )
      | ~ ( pred_attacker @ ( tuple_R_in_2 @ ( constr_xor @ name_r0x30 @ X0 ) @ ( constr_h @ ( constr_xor @ name_k @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl242]) ).

thf(zip_derived_cl631,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( constr_h @ ( constr_xor @ name_k @ X0 ) ) )
      | ~ ( pred_attacker @ ( constr_xor @ name_r0x30 @ X0 ) )
      | ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl349]) ).

thf(zip_derived_cl652,plain,
    ( ~ ( pred_attacker @ ( constr_xor @ name_r0x30 @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) ) )
    | ( pred_attacker @ ( tuple_R_out_4 @ name_objective_R ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl631]) ).

thf(ax83,axiom,
    ! [VAR_V_67: $i] :
      ( ( pred_attacker @ ( tuple_R_out_4 @ VAR_V_67 ) )
     => ( pred_attacker @ VAR_V_67 ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_R_out_4 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl688,plain,
    ( ~ ( pred_attacker @ ( constr_xor @ name_r0x30 @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) ) )
    | ( pred_attacker @ name_objective_R ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl83]) ).

thf(co0,conjecture,
    pred_attacker @ name_objective_R ).

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

thf(zip_derived_cl107,plain,
    ~ ( pred_attacker @ name_objective_R ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl689,plain,
    ~ ( pred_attacker @ ( constr_xor @ name_r0x30 @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl688,zip_derived_cl107]) ).

thf(zip_derived_cl691,plain,
    ( ~ ( pred_attacker @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) )
    | ~ ( pred_attacker @ name_r0x30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl689]) ).

thf(ax104,axiom,
    pred_attacker @ ( tuple_R_out_1 @ name_r0x30 ) ).

thf(zip_derived_cl104,plain,
    pred_attacker @ ( tuple_R_out_1 @ name_r0x30 ),
    inference(cnf,[status(esa)],[ax104]) ).

thf(ax87,axiom,
    ! [VAR_V_79: $i] :
      ( ( pred_attacker @ ( tuple_R_out_1 @ VAR_V_79 ) )
     => ( pred_attacker @ VAR_V_79 ) ) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_R_out_1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax87]) ).

thf(zip_derived_cl462,plain,
    pred_attacker @ name_r0x30,
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl87]) ).

thf(zip_derived_cl692,plain,
    ~ ( pred_attacker @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) ),
    inference(demod,[status(thm)],[zip_derived_cl691,zip_derived_cl462]) ).

thf(zip_derived_cl708,plain,
    ( ~ ( pred_attacker @ name_r1_from_1st )
    | ~ ( pred_attacker @ name_r0x30_from_1st ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl692]) ).

thf(zip_derived_cl239_004,plain,
    pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ name_r1_from_1st @ ( constr_h @ ( constr_xor @ name_k @ ( constr_xor @ name_r0x30_from_1st @ name_r1_from_1st ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl68]) ).

thf(ax75,axiom,
    ! [VAR_V_49: $i,VAR_V_50X30: $i] :
      ( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ VAR_V_49 @ VAR_V_50X30 ) )
     => ( pred_attacker @ VAR_V_49 ) ) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax75]) ).

thf(zip_derived_cl459,plain,
    pred_attacker @ name_r1_from_1st,
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl75]) ).

thf(ax101,axiom,
    pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ name_r0x30_from_1st ) ).

thf(zip_derived_cl101,plain,
    pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ name_r0x30_from_1st ),
    inference(cnf,[status(esa)],[ax101]) ).

thf(ax78,axiom,
    ! [VAR_V_59: $i] :
      ( ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ VAR_V_59 ) )
     => ( pred_attacker @ VAR_V_59 ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_knowledge_from_1st_round_out_1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(zip_derived_cl250,plain,
    pred_attacker @ name_r0x30_from_1st,
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl78]) ).

thf(zip_derived_cl709,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl459,zip_derived_cl250]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW948+1 : TPTP v8.1.2. Released v7.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IR6lsLaYat true
% 0.13/0.35  % Computer : n006.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  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 20:41:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 0.58/0.90  % Solved by fo/fo17_bce.sh.
% 0.58/0.90  % BCE start: 108
% 0.58/0.90  % BCE eliminated: 1
% 0.58/0.90  % PE start: 107
% 0.58/0.90  logic: eq
% 0.58/0.90  % PE eliminated: 2
% 0.58/0.90  % done 203 iterations in 0.111s
% 0.58/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.90  % SZS output start Refutation
% See solution above
% 0.58/0.90  
% 0.58/0.90  
% 0.58/0.91  % Terminating...
% 0.59/0.95  % Runner terminated.
% 0.59/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------