TSTP Solution File: NUM525+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM525+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.5OTAOSoBk3 true

% Computer : n005.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 12:42:07 EDT 2023

% Result   : Theorem 2.38s 0.88s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   37 (  15 unt;   8 typ;   0 def)
%            Number of atoms       :   59 (  26 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  226 (  28   ~;  18   |;  10   &; 168   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

thf(sdtsldt0_type,type,
    sdtsldt0: $i > $i > $i ).

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

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

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

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

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

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

thf(mMulComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( sdtasdt0 @ W0 @ W1 )
        = ( sdtasdt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(m__3059,axiom,
    ( ( xq
      = ( sdtsldt0 @ xn @ xp ) )
    & ( xn
      = ( sdtasdt0 @ xp @ xq ) )
    & ( aNaturalNumber0 @ xq ) ) ).

thf(zip_derived_cl96,plain,
    ( xn
    = ( sdtasdt0 @ xp @ xq ) ),
    inference(cnf,[status(esa)],[m__3059]) ).

thf(mMulAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
        = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xq )
      | ~ ( aNaturalNumber0 @ xp )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl11]) ).

thf(zip_derived_cl97,plain,
    aNaturalNumber0 @ xq,
    inference(cnf,[status(esa)],[m__3059]) ).

thf(m__2987,axiom,
    ( ( xp != sz00 )
    & ( xm != sz00 )
    & ( xn != sz00 )
    & ( aNaturalNumber0 @ xp )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn ) ) ).

thf(zip_derived_cl74,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl97,zip_derived_cl74]) ).

thf(zip_derived_cl256,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xq )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ X0 @ xq ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl244]) ).

thf(zip_derived_cl97_001,plain,
    aNaturalNumber0 @ xq,
    inference(cnf,[status(esa)],[m__3059]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ X0 @ xq ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl97]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ X0 @ xq ) ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl260]) ).

thf(zip_derived_cl244_002,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xn @ X0 )
        = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl97,zip_derived_cl74]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xp @ ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ) ).

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

thf(zip_derived_cl98,plain,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
   != ( sdtasdt0 @ xp @ ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__3014,axiom,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xn @ xn ) ) ).

thf(zip_derived_cl84,plain,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xn @ xn ) ),
    inference(cnf,[status(esa)],[m__3014]) ).

thf(zip_derived_cl101,plain,
    ( ( sdtasdt0 @ xn @ xn )
   != ( sdtasdt0 @ xp @ ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl84]) ).

thf(zip_derived_cl255,plain,
    ( ~ ( aNaturalNumber0 @ xq )
    | ( ( sdtasdt0 @ xn @ xn )
     != ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xq ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl101]) ).

thf(zip_derived_cl97_003,plain,
    aNaturalNumber0 @ xq,
    inference(cnf,[status(esa)],[m__3059]) ).

thf(zip_derived_cl268,plain,
    ( ( sdtasdt0 @ xn @ xn )
   != ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xq ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl97]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( aNaturalNumber0 @ xn )
    | ( ( sdtasdt0 @ xn @ xn )
     != ( sdtasdt0 @ xn @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl268]) ).

thf(zip_derived_cl76,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl667,plain,
    ( ( sdtasdt0 @ xn @ xn )
   != ( sdtasdt0 @ xn @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl76]) ).

thf(zip_derived_cl668,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl667]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : NUM525+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5OTAOSoBk3 true
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri Aug 25 09:35:08 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.17/0.61  % Total configuration time : 435
% 0.17/0.61  % Estimated wc time : 1092
% 0.17/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.38/0.88  % Solved by fo/fo1_av.sh.
% 2.38/0.88  % done 101 iterations in 0.141s
% 2.38/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.38/0.88  % SZS output start Refutation
% See solution above
% 2.38/0.88  
% 2.38/0.88  
% 2.38/0.88  % Terminating...
% 2.57/0.93  % Runner terminated.
% 2.57/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------