TSTP Solution File: NUM434+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM434+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gqiWZCJODD true

% Computer : n022.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 12:41:25 EDT 2023

% Result   : Theorem 1.26s 0.88s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   56 (  15 unt;  12 typ;   0 def)
%            Number of atoms       :  113 (  32 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  335 (  53   ~;  44   |;  16   &; 213   @)
%                                         (   2 <=>;   7  =>;   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     :   14 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :   32 (   0   ^;  29   !;   3   ?;  32   :)

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

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

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

thf(sk__type,type,
    sk_: $i > $i > $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(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(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(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 @ ( sdtasdt0 @ xp @ xq ) @ W0 )
        = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      & ( aInteger0 @ W0 ) ) ).

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

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ xp @ xq ) @ X0 )
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl592,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aDivisorOf0 @ ( sdtasdt0 @ xp @ xq ) @ X0 )
      | ( X0
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aInteger0 @ ( sk_ @ ( sdtasdt0 @ xp @ xq ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl40]) ).

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_cl700,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
      | ~ ( aDivisorOf0 @ ( sdtasdt0 @ xp @ xq ) @ X0 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl592,zip_derived_cl25]) ).

thf(zip_derived_cl701,plain,
    ( ~ ( aInteger0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    | ~ ( aDivisorOf0 @ ( sdtasdt0 @ xp @ xq ) @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl700]) ).

thf(zip_derived_cl718,plain,
    ( ~ ( aInteger0 @ ( smndt0 @ xb ) )
    | ~ ( aInteger0 @ xa )
    | ~ ( aDivisorOf0 @ ( sdtasdt0 @ xp @ xq ) @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl701]) ).

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

thf(zip_derived_cl38,plain,
    aInteger0 @ xa,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl719,plain,
    ( ~ ( aInteger0 @ ( smndt0 @ xb ) )
    | ~ ( aDivisorOf0 @ ( sdtasdt0 @ xp @ xq ) @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl718,zip_derived_cl38]) ).

thf(zip_derived_cl720,plain,
    ( ~ ( aInteger0 @ xb )
    | ~ ( aDivisorOf0 @ ( sdtasdt0 @ xp @ xq ) @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl719]) ).

thf(zip_derived_cl37,plain,
    aInteger0 @ xb,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl721,plain,
    ~ ( aDivisorOf0 @ ( sdtasdt0 @ xp @ xq ) @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl720,zip_derived_cl37]) ).

thf(zip_derived_cl722,plain,
    ( ~ ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ ( sdtasdt0 @ xp @ xq ) )
    | ( ( sdtasdt0 @ xp @ xq )
      = sz00 )
    | ~ ( aInteger0 @ ( sdtasdt0 @ xp @ xq ) )
    | ~ ( aInteger0 @ xa )
    | ~ ( aInteger0 @ xb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl721]) ).

thf(m__1003,axiom,
    sdteqdtlpzmzozddtrp0 @ xa @ xb @ ( sdtasdt0 @ xp @ xq ) ).

thf(zip_derived_cl39,plain,
    sdteqdtlpzmzozddtrp0 @ xa @ xb @ ( sdtasdt0 @ xp @ xq ),
    inference(cnf,[status(esa)],[m__1003]) ).

thf(zip_derived_cl38_001,plain,
    aInteger0 @ xa,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl37_002,plain,
    aInteger0 @ xb,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl723,plain,
    ( ( ( sdtasdt0 @ xp @ xq )
      = sz00 )
    | ~ ( aInteger0 @ ( sdtasdt0 @ xp @ xq ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl39,zip_derived_cl38,zip_derived_cl37]) ).

thf(zip_derived_cl727,plain,
    ( ~ ( aInteger0 @ xq )
    | ~ ( aInteger0 @ xp )
    | ( ( sdtasdt0 @ xp @ xq )
      = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl723]) ).

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

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

thf(zip_derived_cl728,plain,
    ( ( sdtasdt0 @ xp @ xq )
    = sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl34,zip_derived_cl36]) ).

thf(mZeroDiv,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 ) )
     => ( ( ( sdtasdt0 @ W0 @ W1 )
          = sz00 )
       => ( ( W0 = sz00 )
          | ( W1 = sz00 ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = sz00 )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( X1 = sz00 )
      | ( ( sdtasdt0 @ X0 @ X1 )
       != sz00 ) ),
    inference(cnf,[status(esa)],[mZeroDiv]) ).

thf(zip_derived_cl739,plain,
    ( ( xp = sz00 )
    | ~ ( aInteger0 @ xp )
    | ~ ( aInteger0 @ xq )
    | ( xq = sz00 )
    | ( sz00 != sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl22]) ).

thf(zip_derived_cl36_003,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl34_004,plain,
    aInteger0 @ xq,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl748,plain,
    ( ( xp = sz00 )
    | ( xq = sz00 )
    | ( sz00 != sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl739,zip_derived_cl36,zip_derived_cl34]) ).

thf(zip_derived_cl749,plain,
    ( ( xq = sz00 )
    | ( xp = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl748]) ).

thf(zip_derived_cl35,plain,
    xp != sz00,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl33,plain,
    xq != sz00,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl750,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl749,zip_derived_cl35,zip_derived_cl33]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16  % Problem  : NUM434+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.17  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gqiWZCJODD true
% 0.14/0.37  % Computer : n022.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Fri Aug 25 11:54:55 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.19/0.60  % Total configuration time : 435
% 0.19/0.60  % Estimated wc time : 1092
% 0.19/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.88  % Solved by fo/fo6_bce.sh.
% 1.26/0.88  % BCE start: 41
% 1.26/0.88  % BCE eliminated: 1
% 1.26/0.88  % PE start: 40
% 1.26/0.88  logic: eq
% 1.26/0.88  % PE eliminated: 0
% 1.26/0.88  % done 103 iterations in 0.145s
% 1.26/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.88  % SZS output start Refutation
% See solution above
% 1.26/0.89  
% 1.26/0.89  
% 1.26/0.89  % Terminating...
% 1.52/0.94  % Runner terminated.
% 1.52/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------