TSTP Solution File: NUM531+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PH7jgGGLHK true

% Computer : n028.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 Aug 31 12:42:10 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   31 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   58 (  18   ~;   6   |;   6   &;  24   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   6   !;   3   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

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

thf(isFinite0_type,type,
    isFinite0: $i > $o ).

thf(slcrc0_type,type,
    slcrc0: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( ( aSet0 @ W0 )
        & ( isCountable0 @ W0 ) )
     => ~ ( ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 )
          & ( W0 = slcrc0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W0: $i] :
        ( ( ( aSet0 @ W0 )
          & ( isCountable0 @ W0 ) )
       => ~ ( ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 )
            & ( W0 = slcrc0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl13,plain,
    sk__1 = slcrc0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mDefEmp,axiom,
    ! [W0: $i] :
      ( ( W0 = slcrc0 )
    <=> ( ( aSet0 @ W0 )
        & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl11,plain,
    isCountable0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mEmpFin,axiom,
    isFinite0 @ slcrc0 ).

thf(zip_derived_cl7,plain,
    isFinite0 @ slcrc0,
    inference(cnf,[status(esa)],[mEmpFin]) ).

thf(mCountNFin,axiom,
    ! [W0: $i] :
      ( ( ( aSet0 @ W0 )
        & ( isCountable0 @ W0 ) )
     => ~ ( isFinite0 @ W0 ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( isFinite0 @ X0 )
      | ~ ( isCountable0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCountNFin]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( aSet0 @ slcrc0 )
    | ~ ( isCountable0 @ slcrc0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).

thf(zip_derived_cl43,plain,
    ( ( sk__1 != slcrc0 )
    | ~ ( aSet0 @ slcrc0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl40]) ).

thf(zip_derived_cl47,plain,
    ( ( slcrc0 != slcrc0 )
    | ( sk__1 != slcrc0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl43]) ).

thf(zip_derived_cl53,plain,
    sk__1 != slcrc0,
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl54,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl13,zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PH7jgGGLHK true
% 0.13/0.35  % Computer : n028.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 : Fri Aug 25 15:02:51 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
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % Solved by fo/fo6_bce.sh.
% 0.20/0.73  % BCE start: 14
% 0.20/0.73  % BCE eliminated: 2
% 0.20/0.73  % PE start: 12
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 4
% 0.20/0.73  % done 5 iterations in 0.005s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 1.33/0.86  % Runner terminated.
% 1.33/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------