TSTP Solution File: SYN918+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Uo1nQbt8xT true

% 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 Sep  1 04:06:12 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   82 (   0 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  167 (  31   ~;  29   |;  12   &;  81   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   36 (   0   ^;  32   !;   4   ?;  36   :)

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

thf(g_type,type,
    g: $i > $o ).

thf(h_type,type,
    h: $i > $o ).

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

thf(prove_this,conjecture,
    ( ( ! [X: $i] :
          ( ( ( ( f @ X )
              & ( g @ X ) )
           => ( h @ X ) )
         => ? [Y: $i] :
              ( ~ ( g @ Y )
              & ( f @ Y ) ) )
      & ( ! [W: $i] :
            ( ( f @ W )
           => ( g @ W ) )
        | ! [Z: $i] :
            ( ( f @ Z )
           => ( h @ Z ) ) ) )
   => ( ! [R: $i] :
          ( ( ( f @ R )
            & ( h @ R ) )
         => ( g @ R ) )
     => ? [V: $i] :
          ( ~ ( h @ V )
          & ( g @ V )
          & ( f @ V ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
            ( ( ( ( f @ X )
                & ( g @ X ) )
             => ( h @ X ) )
           => ? [Y: $i] :
                ( ~ ( g @ Y )
                & ( f @ Y ) ) )
        & ( ! [W: $i] :
              ( ( f @ W )
             => ( g @ W ) )
          | ! [Z: $i] :
              ( ( f @ Z )
             => ( h @ Z ) ) ) )
     => ( ! [R: $i] :
            ( ( ( f @ R )
              & ( h @ R ) )
           => ( g @ R ) )
       => ? [V: $i] :
            ( ~ ( h @ V )
            & ( g @ V )
            & ( f @ V ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_this]) ).

thf(zip_derived_cl8,plain,
    ! [X4: $i] :
      ( ( g @ X4 )
      | ~ ( h @ X4 )
      | ~ ( f @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( f @ X1 )
      | ( g @ X1 )
      | ~ ( f @ X2 )
      | ( h @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( f @ X0 )
      | ( g @ X0 )
      | ~ ( f @ X1 )
      | ( g @ X1 )
      | ~ ( f @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( g @ X1 )
      | ~ ( f @ X1 )
      | ( g @ X0 )
      | ~ ( f @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ~ ( f @ X0 )
      | ( g @ X0 )
      | ~ ( f @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( g @ X0 )
      | ~ ( f @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( g @ sk_ )
      | ~ ( h @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ~ ( f @ sk_ )
      | ~ ( h @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( f @ sk_ )
      | ( f @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    f @ sk_,
    inference(condensation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ~ ( h @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl20]) ).

thf(zip_derived_cl7,plain,
    ! [X3: $i] :
      ( ( h @ X3 )
      | ~ ( g @ X3 )
      | ~ ( f @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_001,plain,
    ! [X0: $i] :
      ( ( g @ X0 )
      | ~ ( f @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( g @ sk_ )
      | ( g @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ~ ( f @ sk_ )
      | ( g @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl1]) ).

thf(zip_derived_cl20_002,plain,
    f @ sk_,
    inference(condensation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] : ( g @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl20]) ).

thf(zip_derived_cl54,plain,
    ! [X3: $i] :
      ( ( h @ X3 )
      | ~ ( f @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl49]) ).

thf(zip_derived_cl37_003,plain,
    ! [X0: $i] :
      ( ( g @ X0 )
      | ~ ( f @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ~ ( g @ sk_ )
      | ( f @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ~ ( f @ sk_ )
      | ( f @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl2]) ).

thf(zip_derived_cl20_004,plain,
    f @ sk_,
    inference(condensation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] : ( f @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl20]) ).

thf(zip_derived_cl56,plain,
    ! [X3: $i] : ( h @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl50]) ).

thf(zip_derived_cl57,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Uo1nQbt8xT true
% 0.15/0.37  % Computer : n024.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sat Aug 26 18:37:08 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % Solved by fo/fo6_bce.sh.
% 0.22/0.77  % BCE start: 9
% 0.22/0.77  % BCE eliminated: 0
% 0.22/0.77  % PE start: 9
% 0.22/0.77  logic: neq
% 0.22/0.77  % PE eliminated: 0
% 0.22/0.77  % done 19 iterations in 0.012s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 1.34/0.87  % Runner terminated.
% 1.34/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------