TSTP Solution File: NUM435+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM435+3 : 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.rMEMBC3jlH true

% Computer : n024.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 1.57s 0.91s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   41 (  15 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  147 (  14   ~;  10   |;   9   &; 112   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

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

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

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

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

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

thf(zip_derived_cl44,plain,
    ( ( sdtasdt0 @ ( sdtasdt0 @ xp @ xq ) @ xm )
    = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[m__1032]) ).

thf(zip_derived_cl308,plain,
    ( ( ( sdtasdt0 @ ( sdtasdt0 @ xq @ xp ) @ xm )
      = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    | ~ ( aInteger0 @ xp )
    | ~ ( aInteger0 @ xq ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl44]) ).

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

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

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

thf(zip_derived_cl370,plain,
    ( ( sdtasdt0 @ ( sdtasdt0 @ xq @ xp ) @ xm )
    = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl36,zip_derived_cl34]) ).

thf(mMulAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 )
        & ( aInteger0 @ W2 ) )
     => ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
        = ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) )
        = ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl776,plain,
    ( ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ xm ) )
      = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
    | ~ ( aInteger0 @ xm )
    | ~ ( aInteger0 @ xq )
    | ~ ( aInteger0 @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl370,zip_derived_cl12]) ).

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

thf(zip_derived_cl34_001,plain,
    aInteger0 @ xq,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl36_002,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__979]) ).

thf(zip_derived_cl789,plain,
    ( ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ xm ) )
    = ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl45,zip_derived_cl34,zip_derived_cl36]) ).

thf(m__,conjecture,
    ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
    = ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ xm ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
   != ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl46,plain,
    ( ( sdtpldt0 @ xa @ ( smndt0 @ xb ) )
   != ( sdtasdt0 @ xq @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl790,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl789,zip_derived_cl46]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NUM435+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rMEMBC3jlH true
% 0.14/0.35  % Computer : n024.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
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 11:43:54 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.57/0.91  % Solved by fo/fo4.sh.
% 1.57/0.91  % done 119 iterations in 0.076s
% 1.57/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.57/0.91  % SZS output start Refutation
% See solution above
% 1.57/0.91  
% 1.57/0.91  
% 1.57/0.91  % Terminating...
% 1.82/0.97  % Runner terminated.
% 1.82/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------