TSTP Solution File: NUM627+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM627+3 : 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.d3QsXOWGUP true

% Computer : n010.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 12:42:51 EDT 2023

% Result   : Theorem 5.20s 1.41s
% Output   : Refutation 5.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   44 (  12 unt;  17 typ;   0 def)
%            Number of atoms       :   64 (   4 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  248 (  28   ~;  21   |;   9   &; 183   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

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

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

thf(xe_type,type,
    xe: $i ).

thf(xx_type,type,
    xx: $i ).

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

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

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

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

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

thf(xp_type,type,
    xp: $i ).

thf(xd_type,type,
    xd: $i ).

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

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

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

thf(xm_type,type,
    xm: $i ).

thf(xn_type,type,
    xn: $i ).

thf(mSuccNum,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
        & ( ( szszuzczcdt0 @ W0 )
         != sz00 ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mSuccNum]) ).

thf(mLessTotal,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( sdtlseqdt0 @ W0 @ W1 )
        | ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[mLessTotal]) ).

thf(m__3754,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( sdtlseqdt0 @ W1 @ W0 )
       => ( ! [W2: $i] :
              ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
             => ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) )
          & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ).

thf(zip_derived_cl238,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(m__5442,axiom,
    ~ ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
         => ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ) ).

thf(zip_derived_cl488,plain,
    ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ),
    inference(cnf,[status(esa)],[m__5442]) ).

thf(zip_derived_cl5664,plain,
    ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
    | ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
    | ~ ( aElementOf0 @ xm @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl488]) ).

thf(m__5389,axiom,
    ( ( xx
      = ( sdtlpdtrp0 @ xe @ xm ) )
    & ( aElementOf0 @ xm @ szNzAzT0 ) ) ).

thf(zip_derived_cl486,plain,
    aElementOf0 @ xm @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5389]) ).

thf(zip_derived_cl5674,plain,
    ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
    | ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5664,zip_derived_cl486]) ).

thf(zip_derived_cl5950,plain,
    ( ( sdtlseqdt0 @ xm @ xn )
    | ~ ( aElementOf0 @ xn @ szNzAzT0 )
    | ~ ( aElementOf0 @ xm @ szNzAzT0 )
    | ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl5674]) ).

thf(zip_derived_cl238_001,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(m__5461,axiom,
    ~ ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
         => ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ).

thf(zip_derived_cl491,plain,
    ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) ),
    inference(cnf,[status(esa)],[m__5461]) ).

thf(zip_derived_cl5663,plain,
    ( ~ ( sdtlseqdt0 @ xm @ xn )
    | ~ ( aElementOf0 @ xm @ szNzAzT0 )
    | ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl491]) ).

thf(zip_derived_cl486_002,plain,
    aElementOf0 @ xm @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5389]) ).

thf(m__5309,axiom,
    ( ( ( sdtlpdtrp0 @ xe @ xn )
      = xp )
    & ( aElementOf0 @ xn @ szNzAzT0 )
    & ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
    & ( ( sdtlpdtrp0 @ xd @ xn )
      = ( szDzizrdt0 @ xd ) )
    & ( aElementOf0 @ xn @ ( szDzozmdt0 @ xd ) ) ) ).

thf(zip_derived_cl473,plain,
    aElementOf0 @ xn @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5309]) ).

thf(zip_derived_cl5673,plain,
    ~ ( sdtlseqdt0 @ xm @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl5663,zip_derived_cl486,zip_derived_cl473]) ).

thf(zip_derived_cl473_003,plain,
    aElementOf0 @ xn @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5309]) ).

thf(zip_derived_cl486_004,plain,
    aElementOf0 @ xm @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5389]) ).

thf(zip_derived_cl5951,plain,
    ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 ),
    inference(demod,[status(thm)],[zip_derived_cl5950,zip_derived_cl5673,zip_derived_cl473,zip_derived_cl486]) ).

thf(zip_derived_cl5953,plain,
    ~ ( aElementOf0 @ xn @ szNzAzT0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl5951]) ).

thf(zip_derived_cl473_005,plain,
    aElementOf0 @ xn @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5309]) ).

thf(zip_derived_cl5954,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5953,zip_derived_cl473]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM627+3 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d3QsXOWGUP true
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 09:04:50 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % 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
% 0.23/0.70  % Total configuration time : 435
% 0.23/0.70  % Estimated wc time : 1092
% 0.23/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.20/1.41  % Solved by fo/fo6_bce.sh.
% 5.20/1.41  % BCE start: 495
% 5.20/1.41  % BCE eliminated: 0
% 5.20/1.41  % PE start: 495
% 5.20/1.41  logic: eq
% 5.20/1.41  % PE eliminated: 62
% 5.20/1.41  % done 662 iterations in 0.645s
% 5.20/1.41  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.20/1.41  % SZS output start Refutation
% See solution above
% 5.20/1.41  
% 5.20/1.41  
% 5.20/1.41  % Terminating...
% 5.78/1.49  % Runner terminated.
% 5.78/1.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------