TSTP Solution File: NUM425+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM425+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.iOh4C2igav true

% Computer : n032.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 12:41:21 EDT 2023

% Result   : Theorem 0.15s 0.67s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  13 unt;  11 typ;   0 def)
%            Number of atoms       :   75 (  15 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  221 (  35   ~;  25   |;  12   &; 143   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^;  21   !;   3   ?;  24   :)

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

thf(sk__type,type,
    sk_: $i > $i > $i ).

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

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

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

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

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

thf(mIntNeg,axiom,
    ! [W0: $i] :
      ( ( aInteger0 @ W0 )
     => ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ ( smndt0 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mIntNeg]) ).

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(m__724,axiom,
    sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq ).

thf(zip_derived_cl35,plain,
    sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq,
    inference(cnf,[status(esa)],[m__724]) ).

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_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X2 )
      | ( X2 = sz00 )
      | ( aDivisorOf0 @ X2 @ ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) )
      | ~ ( sdteqdtlpzmzozddtrp0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mEquMod]) ).

thf(zip_derived_cl191,plain,
    ( ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    | ( xq = sz00 )
    | ~ ( aInteger0 @ xq )
    | ~ ( aInteger0 @ xa )
    | ~ ( aInteger0 @ xb ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl28]) ).

thf(m__704,axiom,
    ( ( xq != sz00 )
    & ( aInteger0 @ xq )
    & ( aInteger0 @ xb )
    & ( aInteger0 @ xa ) ) ).

thf(zip_derived_cl32,plain,
    aInteger0 @ xq,
    inference(cnf,[status(esa)],[m__704]) ).

thf(zip_derived_cl34,plain,
    aInteger0 @ xa,
    inference(cnf,[status(esa)],[m__704]) ).

thf(zip_derived_cl33,plain,
    aInteger0 @ xb,
    inference(cnf,[status(esa)],[m__704]) ).

thf(zip_derived_cl201,plain,
    ( ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    | ( xq = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl32,zip_derived_cl34,zip_derived_cl33]) ).

thf(zip_derived_cl31,plain,
    xq != sz00,
    inference(cnf,[status(esa)],[m__704]) ).

thf(zip_derived_cl202,plain,
    aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl201,zip_derived_cl31]) ).

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_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aDivisorOf0 @ X0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ ( sk_ @ X0 @ X1 ) )
        = X1 )
      | ~ ( aInteger0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDivisor]) ).

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

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

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xq @ X0 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl549,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aDivisorOf0 @ xq @ X0 )
      | ( X0
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ ( sk_ @ xq @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl36]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aDivisorOf0 @ X0 @ X1 )
      | ( aInteger0 @ ( sk_ @ X0 @ X1 ) )
      | ~ ( aInteger0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDivisor]) ).

thf(zip_derived_cl586,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aDivisorOf0 @ xq @ X0 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl549,zip_derived_cl25]) ).

thf(zip_derived_cl588,plain,
    ( ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
     != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    | ~ ( aInteger0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl586]) ).

thf(zip_derived_cl591,plain,
    ~ ( aInteger0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl588]) ).

thf(zip_derived_cl592,plain,
    ( ~ ( aInteger0 @ ( smndt0 @ xb ) )
    | ~ ( aInteger0 @ xa ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl591]) ).

thf(zip_derived_cl34_001,plain,
    aInteger0 @ xa,
    inference(cnf,[status(esa)],[m__704]) ).

thf(zip_derived_cl593,plain,
    ~ ( aInteger0 @ ( smndt0 @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl34]) ).

thf(zip_derived_cl594,plain,
    ~ ( aInteger0 @ xb ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl593]) ).

thf(zip_derived_cl33_002,plain,
    aInteger0 @ xb,
    inference(cnf,[status(esa)],[m__704]) ).

thf(zip_derived_cl595,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl594,zip_derived_cl33]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM425+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iOh4C2igav true
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Fri Aug 25 13:44:42 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30  % Number of cores: 8
% 0.10/0.30  % Python version: Python 3.6.8
% 0.10/0.30  % Running in FO mode
% 0.15/0.52  % Total configuration time : 435
% 0.15/0.52  % Estimated wc time : 1092
% 0.15/0.52  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.57  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.58  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.58  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.58  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.60  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.60  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.60  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.67  % Solved by fo/fo6_bce.sh.
% 0.15/0.67  % BCE start: 37
% 0.15/0.67  % BCE eliminated: 1
% 0.15/0.67  % PE start: 36
% 0.15/0.67  logic: eq
% 0.15/0.67  % PE eliminated: 2
% 0.15/0.67  % done 68 iterations in 0.070s
% 0.15/0.67  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.15/0.67  % SZS output start Refutation
% See solution above
% 0.15/0.67  
% 0.15/0.67  
% 0.15/0.67  % Terminating...
% 0.15/0.74  % Runner terminated.
% 1.60/0.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------