TSTP Solution File: NUM432+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM432+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.qGHEjvwl1N 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 12:41:24 EDT 2023

% Result   : Theorem 2.03s 0.91s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   47 (  16 unt;  13 typ;   0 def)
%            Number of atoms       :   84 (  19 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  234 (  36   ~;  30   |;  14   &; 148   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^;  23   !;   1   ?;  24   :)

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

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

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

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

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

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

thf(xc_type,type,
    xc: $i ).

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

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

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

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

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

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

thf(mIntPlus,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 ) )
     => ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mIntPlus]) ).

thf(mDivisor,axiom,
    ! [W0: $i] :
      ( ( aInteger0 @ W0 )
     => ! [W1: $i] :
          ( ( aDivisorOf0 @ W1 @ W0 )
        <=> ( ( aInteger0 @ W1 )
            & ( W1 != sz00 )
            & ? [W2: $i] :
                ( ( ( sdtasdt0 @ W1 @ W2 )
                  = W0 )
                & ( aInteger0 @ W2 ) ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ( X0 = sz00 )
      | ( ( sdtasdt0 @ X0 @ X2 )
       != X1 )
      | ~ ( aInteger0 @ X2 )
      | ( aDivisorOf0 @ X0 @ X1 )
      | ~ ( aInteger0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDivisor]) ).

thf(zip_derived_cl322,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ( aDivisorOf0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ~ ( aInteger0 @ X0 )
      | ( X1 = sz00 )
      | ~ ( aInteger0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl23]) ).

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(zip_derived_cl1247,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X1 )
      | ( X1 = sz00 )
      | ~ ( aInteger0 @ X0 )
      | ( aDivisorOf0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl322,zip_derived_cl5]) ).

thf(mEquMod,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 )
        & ( aInteger0 @ W2 )
        & ( W2 != sz00 ) )
     => ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
      <=> ( aDivisorOf0 @ W2 @ ( sdtpldt0 @ W0 @ ( smndt0 @ W1 ) ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X2 )
      | ( X2 = sz00 )
      | ( sdteqdtlpzmzozddtrp0 @ X1 @ X0 @ X2 )
      | ~ ( aDivisorOf0 @ X2 @ ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[mEquMod]) ).

thf(m__,conjecture,
    sdteqdtlpzmzozddtrp0 @ xa @ xc @ xq ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( sdteqdtlpzmzozddtrp0 @ xa @ xc @ xq ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl44,plain,
    ~ ( sdteqdtlpzmzozddtrp0 @ xa @ xc @ xq ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1109,plain,
    ( ~ ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
    | ( xq = sz00 )
    | ~ ( aInteger0 @ xq )
    | ~ ( aInteger0 @ xa )
    | ~ ( aInteger0 @ xc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl44]) ).

thf(m__924,axiom,
    ( ( sdtasdt0 @ xq @ ( sdtpldt0 @ xn @ xm ) )
    = ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ) ).

thf(zip_derived_cl43,plain,
    ( ( sdtasdt0 @ xq @ ( sdtpldt0 @ xn @ xm ) )
    = ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ),
    inference(cnf,[status(esa)],[m__924]) ).

thf(m__818,axiom,
    ( ( aInteger0 @ xc )
    & ( xq != sz00 )
    & ( aInteger0 @ xq )
    & ( aInteger0 @ xb )
    & ( aInteger0 @ xa ) ) ).

thf(zip_derived_cl34,plain,
    aInteger0 @ xq,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl36,plain,
    aInteger0 @ xa,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl32,plain,
    aInteger0 @ xc,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl1112,plain,
    ( ~ ( aDivisorOf0 @ xq @ ( sdtasdt0 @ xq @ ( sdtpldt0 @ xn @ xm ) ) )
    | ( xq = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1109,zip_derived_cl43,zip_derived_cl34,zip_derived_cl36,zip_derived_cl32]) ).

thf(zip_derived_cl33,plain,
    xq != sz00,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl1113,plain,
    ~ ( aDivisorOf0 @ xq @ ( sdtasdt0 @ xq @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1112,zip_derived_cl33]) ).

thf(zip_derived_cl1250,plain,
    ( ~ ( aInteger0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( xq = sz00 )
    | ~ ( aInteger0 @ xq ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1247,zip_derived_cl1113]) ).

thf(zip_derived_cl34_001,plain,
    aInteger0 @ xq,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl1286,plain,
    ( ~ ( aInteger0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( xq = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1250,zip_derived_cl34]) ).

thf(zip_derived_cl33_002,plain,
    xq != sz00,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl1287,plain,
    ~ ( aInteger0 @ ( sdtpldt0 @ xn @ xm ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1286,zip_derived_cl33]) ).

thf(zip_derived_cl1297,plain,
    ( ~ ( aInteger0 @ xm )
    | ~ ( aInteger0 @ xn ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1287]) ).

thf(m__899,axiom,
    ( ( ( sdtasdt0 @ xq @ xm )
      = ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
    & ( aInteger0 @ xm ) ) ).

thf(zip_derived_cl42,plain,
    aInteger0 @ xm,
    inference(cnf,[status(esa)],[m__899]) ).

thf(m__876,axiom,
    ( ( ( sdtasdt0 @ xq @ xn )
      = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    & ( aInteger0 @ xn ) ) ).

thf(zip_derived_cl40,plain,
    aInteger0 @ xn,
    inference(cnf,[status(esa)],[m__876]) ).

thf(zip_derived_cl1298,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1297,zip_derived_cl42,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM432+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.qGHEjvwl1N true
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 17:39:07 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % 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
% 0.21/0.35  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /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
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.03/0.91  % Solved by fo/fo7.sh.
% 2.03/0.91  % done 351 iterations in 0.130s
% 2.03/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.03/0.91  % SZS output start Refutation
% See solution above
% 2.03/0.91  
% 2.03/0.91  
% 2.03/0.91  % Terminating...
% 2.04/0.95  % Runner terminated.
% 2.04/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------