TSTP Solution File: NUM436+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM436+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.f4T8rw4cNJ true

% Computer : n025.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 12:41:26 EDT 2023

% Result   : Theorem 0.22s 0.79s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   35 (   8 unt;  12 typ;   0 def)
%            Number of atoms       :   64 (  19 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  249 (  29   ~;  26   |;  14   &; 179   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  12   !;   4   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(aInteger0_type,type,
    aInteger0: $i > $o ).

thf(xq_type,type,
    xq: $i ).

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

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

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(xa_type,type,
    xa: $i ).

thf(aDivisorOf0_type,type,
    aDivisorOf0: $i > $i > $o ).

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

thf(sdteqdtlpzmzozddtrp0_type,type,
    sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).

thf(xb_type,type,
    xb: $i ).

thf(mIntMult,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 ) )
     => ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mIntMult]) ).

thf(m__1071,axiom,
    ( ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
      = ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ xm ) ) )
    & ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xm ) )
      = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ) ).

thf(zip_derived_cl46,plain,
    ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
    = ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference(cnf,[status(esa)],[m__1071]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mIntMult]) ).

thf(zip_derived_cl47,plain,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xm ) )
    = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[m__1071]) ).

thf(m__,conjecture,
    ( ( ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xp )
      | ( aDivisorOf0 @ xp @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xp @ W0 )
            = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
          & ( aInteger0 @ W0 ) ) )
    & ( ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq )
      | ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xq @ W0 )
            = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
          & ( aInteger0 @ W0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xp )
        | ( aDivisorOf0 @ xp @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xp @ W0 )
              = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
            & ( aInteger0 @ W0 ) ) )
      & ( ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq )
        | ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xq @ W0 )
              = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
            & ( aInteger0 @ W0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X1 )
      | ( ( sdtasdt0 @ xp @ X1 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ( ( sdtasdt0 @ xq @ X0 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtasdt0 @ xq @ X0 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ ( sdtasdt0 @ xq @ xm ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl56]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ ( sdtasdt0 @ xq @ xm ) )
      | ( ( sdtasdt0 @ xq @ X0 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ xm )
      | ~ ( aInteger0 @ xq )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtasdt0 @ xq @ X0 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl84]) ).

thf(m__1032,axiom,
    ( ( ( sdtasdt0 @ ( sdtasdt0 @ xp @ xq ) @ xm )
      = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    & ( aInteger0 @ xm ) ) ).

thf(zip_derived_cl45,plain,
    aInteger0 @ xm,
    inference(cnf,[status(esa)],[m__1032]) ).

thf(m__979,axiom,
    ( ( xq != sz00 )
    & ( aInteger0 @ xq )
    & ( xp != sz00 )
    & ( aInteger0 @ xp )
    & ( aInteger0 @ xb )
    & ( aInteger0 @ xa ) ) ).

thf(zip_derived_cl34,plain,
    aInteger0 @ xq,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ( ( sdtasdt0 @ xq @ X0 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl45,zip_derived_cl34]) ).

thf(zip_derived_cl165,plain,
    ( ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
     != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    | ~ ( aInteger0 @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl163]) ).

thf(zip_derived_cl167,plain,
    ~ ( aInteger0 @ ( sdtasdt0 @ xp @ xm ) ),
    inference(simplify,[status(thm)],[zip_derived_cl165]) ).

thf(zip_derived_cl168,plain,
    ( ~ ( aInteger0 @ xm )
    | ~ ( aInteger0 @ xp ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl167]) ).

thf(zip_derived_cl45_002,plain,
    aInteger0 @ xm,
    inference(cnf,[status(esa)],[m__1032]) ).

thf(zip_derived_cl36,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl169,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl45,zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM436+3 : 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.f4T8rw4cNJ true
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 08:52:22 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.62  % Total configuration time : 435
% 0.22/0.62  % Estimated wc time : 1092
% 0.22/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % Solved by fo/fo4.sh.
% 0.22/0.79  % done 58 iterations in 0.024s
% 0.22/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.79  % SZS output start Refutation
% See solution above
% 0.22/0.79  
% 0.22/0.79  
% 0.22/0.79  % Terminating...
% 0.22/0.83  % Runner terminated.
% 0.22/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------