TSTP Solution File: NUM582+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9f8uOUjOS3 true

% Computer : n031.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 12:42:31 EDT 2023

% Result   : Theorem 1.31s 1.01s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   33 (  10 unt;  15 typ;   0 def)
%            Number of atoms       :   39 (   3 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  145 (  13   ~;  10   |;   6   &; 111   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzozmdt0_type,type,
    szDzozmdt0: $i > $i ).

thf(aFunction0_type,type,
    aFunction0: $i > $o ).

thf(xi_type,type,
    xi: $i ).

thf(sz00_type,type,
    sz00: $i ).

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

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

thf(xN_type,type,
    xN: $i ).

thf(xS_type,type,
    xS: $i ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(szmzizndt0_type,type,
    szmzizndt0: $i > $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

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

thf(m__,conjecture,
    aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl151,plain,
    ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mZeroLess,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( sdtlseqdt0 @ sz00 @ W0 ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ sz00 @ X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mZeroLess]) ).

thf(m__3754,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( sdtlseqdt0 @ W1 @ W0 )
       => ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( sdtlpdtrp0 @ xN @ X1 ) )
      | ~ ( sdtlseqdt0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[m__3754]) ).

thf(zip_derived_cl1926,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( sdtlpdtrp0 @ xN @ sz00 ) )
      | ~ ( aElementOf0 @ sz00 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl146]) ).

thf(m__3623,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ( ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
            & ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
         => ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
            & ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ) )
    & ( ( sdtlpdtrp0 @ xN @ sz00 )
      = xS )
    & ( ( szDzozmdt0 @ xN )
      = szNzAzT0 )
    & ( aFunction0 @ xN ) ) ).

thf(zip_derived_cl141,plain,
    ( ( sdtlpdtrp0 @ xN @ sz00 )
    = xS ),
    inference(cnf,[status(esa)],[m__3623]) ).

thf(mZeroNum,axiom,
    aElementOf0 @ sz00 @ szNzAzT0 ).

thf(zip_derived_cl45,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(zip_derived_cl1932,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ xS )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1926,zip_derived_cl141,zip_derived_cl45]) ).

thf(zip_derived_cl1933,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ xS )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1932]) ).

thf(zip_derived_cl2503,plain,
    ~ ( aElementOf0 @ xi @ szNzAzT0 ),
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl1933]) ).

thf(m__3989,axiom,
    aElementOf0 @ xi @ szNzAzT0 ).

thf(zip_derived_cl148,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3989]) ).

thf(zip_derived_cl2508,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2503,zip_derived_cl148]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9f8uOUjOS3 true
% 0.13/0.35  % Computer : n031.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 14:31:37 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
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 1.08/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.08/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.08/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/1.01  % Solved by fo/fo3_bce.sh.
% 1.31/1.01  % BCE start: 152
% 1.31/1.01  % BCE eliminated: 4
% 1.31/1.01  % PE start: 148
% 1.31/1.01  logic: eq
% 1.31/1.01  % PE eliminated: -12
% 1.31/1.01  % done 299 iterations in 0.271s
% 1.31/1.01  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/1.01  % SZS output start Refutation
% See solution above
% 1.31/1.01  
% 1.31/1.01  
% 1.31/1.01  % Terminating...
% 1.61/1.07  % Runner terminated.
% 1.61/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------