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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN939+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1DDOSVVgd2 true

% Computer : n009.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 : Thu Oct  2 05:06:02 PM UTC 2025

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   20 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   53 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  122 (  23   ~;  21   |;   6   &;  66   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   30 (   0   ^;  26   !;   4   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $i ).

thf(q_type,type,
    q: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(p_type,type,
    p: $i > $o ).

thf(r_type,type,
    r: $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(prove_this,conjecture,
    ! [C: $i,B: $i] :
      ( ! [Z: $i] : ( q @ ( f @ Z ) )
     => ? [X: $i,Y: $i] :
          ( ( q @ X )
          & ( ( r @ Y )
           => ( ( r @ B )
              & ( r @ C ) ) )
          & ( ( p @ ( f @ Y ) )
           => ( p @ X ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [C: $i,B: $i] :
        ( ! [Z: $i] : ( q @ ( f @ Z ) )
       => ? [X: $i,Y: $i] :
            ( ( q @ X )
            & ( ( r @ Y )
             => ( ( r @ B )
                & ( r @ C ) ) )
            & ( ( p @ ( f @ Y ) )
             => ( p @ X ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_this]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( q @ X0 )
      | ( p @ ( f @ X1 ) )
      | ~ ( r @ sk__1 )
      | ~ ( r @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( r @ sk_ )
      | ~ ( r @ sk__1 )
      | ( p @ ( f @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl4_001,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( q @ X0 )
      | ~ ( p @ X0 )
      | ~ ( r @ sk__1 )
      | ~ ( r @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ~ ( r @ sk_ )
      | ~ ( r @ sk__1 )
      | ~ ( p @ ( f @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl16,plain,
    ( ~ ( r @ sk__1 )
    | ~ ( r @ sk_ )
    | ~ ( r @ sk__1 )
    | ~ ( r @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).

thf(zip_derived_cl17,plain,
    ( ~ ( r @ sk_ )
    | ~ ( r @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl4_002,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( q @ X0 )
      | ( p @ ( f @ X1 ) )
      | ( r @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( r @ X0 )
      | ( p @ ( f @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl4_003,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( q @ X0 )
      | ~ ( p @ X0 )
      | ( r @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( r @ X0 )
      | ~ ( p @ ( f @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( r @ X1 )
      | ( r @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl11]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] : ( r @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl20_004,plain,
    ! [X0: $i] : ( r @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl20,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN939+1 : TPTP v9.2.0. Released v3.1.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1DDOSVVgd2 true
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 13:33:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.56/0.67  % Total configuration time : 435
% 0.56/0.67  % Estimated wc time : 1092
% 0.56/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80  % Solved by fo/fo6_bce.sh.
% 0.57/0.80  % BCE start: 5
% 0.57/0.80  % BCE eliminated: 0
% 0.57/0.80  % PE start: 5
% 0.57/0.80  logic: neq
% 0.57/0.80  % PE eliminated: 1
% 0.57/0.80  % done 3 iterations in 0.010s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 1.83/0.87  % Runner terminated.
% 1.83/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------