TSTP Solution File: RNG089+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG089+2 : 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.rm8exD8orN true

% Computer : n004.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 14:06:48 EDT 2023

% Result   : Theorem 1.37s 0.80s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   30 (   6 unt;  14 typ;   0 def)
%            Number of atoms       :   49 (   3 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  161 (  13   ~;   8   |;  19   &; 115   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  10   !;   4   ?;  14   :)

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

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xk_type,type,
    xk: $i ).

thf(sdtpldt1_type,type,
    sdtpldt1: $i > $i > $i ).

thf(xJ_type,type,
    xJ: $i ).

thf(xy_type,type,
    xy: $i ).

thf(xI_type,type,
    xI: $i ).

thf(xz_type,type,
    xz: $i ).

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

thf(aIdeal0_type,type,
    aIdeal0: $i > $o ).

thf(xl_type,type,
    xl: $i ).

thf(xx_type,type,
    xx: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(m__870,axiom,
    ( ( aIdeal0 @ xJ )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xJ )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xJ )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) ) )
    & ( aSet0 @ xJ )
    & ( aIdeal0 @ xI )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xI )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
    & ( aSet0 @ xI ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__870]) ).

thf(m__,conjecture,
    ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI )
    & ( aElementOf0 @ ( sdtasdt0 @ xz @ xl ) @ xJ ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI )
      & ( aElementOf0 @ ( sdtasdt0 @ xz @ xl ) @ xJ ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl80,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xl ) @ xJ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xJ )
      | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference(cnf,[status(esa)],[m__870]) ).

thf(zip_derived_cl771,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI )
    | ~ ( aElementOf0 @ xl @ xJ )
    | ~ ( aElement0 @ xz ) ),
    inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl61]) ).

thf(m__934,axiom,
    ( ( xx
      = ( sdtpldt0 @ xk @ xl ) )
    & ( aElementOf0 @ xl @ xJ )
    & ( aElementOf0 @ xk @ xI ) ) ).

thf(zip_derived_cl73,plain,
    aElementOf0 @ xl @ xJ,
    inference(cnf,[status(esa)],[m__934]) ).

thf(m__901,axiom,
    ( ( aElement0 @ xz )
    & ( aElementOf0 @ xy @ ( sdtpldt1 @ xI @ xJ ) )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xy )
        & ( aElementOf0 @ W1 @ xJ )
        & ( aElementOf0 @ W0 @ xI ) )
    & ( aElementOf0 @ xx @ ( sdtpldt1 @ xI @ xJ ) )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xx )
        & ( aElementOf0 @ W1 @ xJ )
        & ( aElementOf0 @ W0 @ xI ) ) ) ).

thf(zip_derived_cl71,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__901]) ).

thf(zip_derived_cl782,plain,
    ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xk ) @ xI ),
    inference(demod,[status(thm)],[zip_derived_cl771,zip_derived_cl73,zip_derived_cl71]) ).

thf(zip_derived_cl793,plain,
    ( ~ ( aElementOf0 @ xk @ xI )
    | ~ ( aElement0 @ xz ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl782]) ).

thf(zip_derived_cl74,plain,
    aElementOf0 @ xk @ xI,
    inference(cnf,[status(esa)],[m__934]) ).

thf(zip_derived_cl71_001,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__901]) ).

thf(zip_derived_cl794,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl793,zip_derived_cl74,zip_derived_cl71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG089+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rm8exD8orN true
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 01:54:53 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.23/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.80  % Solved by fo/fo3_bce.sh.
% 1.37/0.80  % BCE start: 81
% 1.37/0.80  % BCE eliminated: 0
% 1.37/0.80  % PE start: 81
% 1.37/0.80  logic: eq
% 1.37/0.80  % PE eliminated: -5
% 1.37/0.80  % done 77 iterations in 0.052s
% 1.37/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.80  % SZS output start Refutation
% See solution above
% 1.37/0.80  
% 1.37/0.80  
% 1.37/0.80  % Terminating...
% 1.64/0.85  % Runner terminated.
% 1.64/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------