TSTP Solution File: SYN940+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN940+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.w61BBub73Z true

% Computer : n023.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 04:06:18 EDT 2023

% Result   : Theorem 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   42 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   95 (  17   ~;  13   |;   6   &;  53   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   31 (   0   ^;  27   !;   4   ?;  31   :)

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

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

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

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

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( q @ X1 )
      | ~ ( r @ sk__1 )
      | ~ ( r @ sk_ )
      | ~ ( q @ ( f @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( q @ X0 )
      | ( p @ ( f @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( q @ X2 )
      | ( r @ X0 )
      | ~ ( q @ ( f @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3_002,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X2: $i] :
      ( ~ ( q @ X2 )
      | ( r @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] : ( r @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl7_003,plain,
    ! [X1: $i] : ( r @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl3_004,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X1: $i] :
      ~ ( q @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl7,zip_derived_cl7,zip_derived_cl3]) ).

thf(zip_derived_cl3_005,plain,
    ! [X2: $i] : ( q @ ( f @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SYN940+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.w61BBub73Z true
% 0.13/0.35  % Computer : n023.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 : Sat Aug 26 21:36:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73  % Solved by fo/fo3_bce.sh.
% 0.57/0.73  % BCE start: 4
% 0.57/0.73  % BCE eliminated: 0
% 0.57/0.73  % PE start: 4
% 0.57/0.73  logic: neq
% 0.57/0.73  % PE eliminated: 1
% 0.57/0.73  % done 3 iterations in 0.006s
% 0.57/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.73  % SZS output start Refutation
% See solution above
% 0.57/0.73  
% 0.57/0.73  
% 0.57/0.73  % Terminating...
% 0.62/0.84  % Runner terminated.
% 1.53/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------