TSTP Solution File: NUM533+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM533+1 : 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.1MppQ2dFZC true

% Computer : n019.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 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  11 unt;   7 typ;   0 def)
%            Number of atoms       :   68 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  187 (  29   ~;  30   |;   5   &; 118   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

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

thf(xB_type,type,
    xB: $i ).

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

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

thf(xC_type,type,
    xC: $i ).

thf(xA_type,type,
    xA: $i ).

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

thf(m__,conjecture,
    ( ( ( aSubsetOf0 @ xA @ xB )
      & ( aSubsetOf0 @ xB @ xC ) )
   => ( aSubsetOf0 @ xA @ xC ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aSubsetOf0 @ xA @ xB )
        & ( aSubsetOf0 @ xB @ xC ) )
     => ( aSubsetOf0 @ xA @ xC ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl23,plain,
    ~ ( aSubsetOf0 @ xA @ xC ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mDefSub,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
               => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl21,plain,
    aSubsetOf0 @ xA @ xB,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xB )
      | ~ ( aElementOf0 @ X0 @ xA )
      | ~ ( aSet0 @ xB ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl13]) ).

thf(m__522,axiom,
    ( ( aSet0 @ xC )
    & ( aSet0 @ xB )
    & ( aSet0 @ xA ) ) ).

thf(zip_derived_cl19,plain,
    aSet0 @ xB,
    inference(cnf,[status(esa)],[m__522]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xB )
      | ~ ( aElementOf0 @ X0 @ xA ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl19]) ).

thf(zip_derived_cl22,plain,
    aSubsetOf0 @ xB @ xC,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xC )
      | ~ ( aElementOf0 @ X0 @ xB )
      | ~ ( aSet0 @ xC ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl13]) ).

thf(zip_derived_cl18,plain,
    aSet0 @ xC,
    inference(cnf,[status(esa)],[m__522]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xC )
      | ~ ( aElementOf0 @ X0 @ xB ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl18]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ xC ) @ xB )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ xC )
      | ~ ( aSet0 @ xC ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl11]) ).

thf(zip_derived_cl18_002,plain,
    aSet0 @ xC,
    inference(cnf,[status(esa)],[m__522]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ xC ) @ xB )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ xC ) ),
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl18]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ xC ) @ xA )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ xC ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl124]) ).

thf(zip_derived_cl158,plain,
    ( ~ ( aSet0 @ xC )
    | ( aSubsetOf0 @ xA @ xC )
    | ~ ( aSet0 @ xA )
    | ~ ( aSet0 @ xA )
    | ( aSubsetOf0 @ xA @ xC ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl149]) ).

thf(zip_derived_cl18_003,plain,
    aSet0 @ xC,
    inference(cnf,[status(esa)],[m__522]) ).

thf(zip_derived_cl20,plain,
    aSet0 @ xA,
    inference(cnf,[status(esa)],[m__522]) ).

thf(zip_derived_cl20_004,plain,
    aSet0 @ xA,
    inference(cnf,[status(esa)],[m__522]) ).

thf(zip_derived_cl159,plain,
    ( ( aSubsetOf0 @ xA @ xC )
    | ( aSubsetOf0 @ xA @ xC ) ),
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl18,zip_derived_cl20,zip_derived_cl20]) ).

thf(zip_derived_cl160,plain,
    aSubsetOf0 @ xA @ xC,
    inference(simplify,[status(thm)],[zip_derived_cl159]) ).

thf(zip_derived_cl161,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl160]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM533+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1MppQ2dFZC true
% 0.17/0.34  % Computer : n019.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Fri Aug 25 12:59:28 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 24
% 0.21/0.75  % BCE eliminated: 5
% 0.21/0.75  % PE start: 19
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 36 iterations in 0.018s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.43/0.86  % Runner terminated.
% 1.54/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------