TSTP Solution File: LAT382+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT382+3 : 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.aH75VkSmdn true

% Computer : n001.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 06:47:31 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  16 unt;  10 typ;   0 def)
%            Number of atoms       :   69 (   7 equ;   0 cnn)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  171 (  19   ~;  18   |;  13   &; 111   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

thf(xT_type,type,
    xT: $i ).

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

thf(xu_type,type,
    xu: $i ).

thf(aLowerBoundOfIn0_type,type,
    aLowerBoundOfIn0: $i > $i > $i > $o ).

thf(aInfimumOfIn0_type,type,
    aInfimumOfIn0: $i > $i > $i > $o ).

thf(xS_type,type,
    xS: $i ).

thf(xv_type,type,
    xv: $i ).

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

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(m__792,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xS )
       => ( sdtlseqdt0 @ xv @ W0 ) )
    & ! [W0: $i] :
        ( ( ( ( aElementOf0 @ W0 @ xT )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ xS )
               => ( sdtlseqdt0 @ W0 @ W1 ) ) )
          | ( aLowerBoundOfIn0 @ W0 @ xS @ xT ) )
       => ( sdtlseqdt0 @ W0 @ xu ) )
    & ( aElementOf0 @ xv @ xT )
    & ( aInfimumOfIn0 @ xu @ xS @ xT )
    & ( aLowerBoundOfIn0 @ xv @ xS @ xT )
    & ( aLowerBoundOfIn0 @ xu @ xS @ xT )
    & ( aElementOf0 @ xu @ xT )
    & ! [W0: $i] :
        ( ( ( ( aElementOf0 @ W0 @ xT )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ xS )
               => ( sdtlseqdt0 @ W0 @ W1 ) ) )
          | ( aLowerBoundOfIn0 @ W0 @ xS @ xT ) )
       => ( sdtlseqdt0 @ W0 @ xv ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xS )
       => ( sdtlseqdt0 @ xu @ W0 ) )
    & ( aInfimumOfIn0 @ xv @ xS @ xT ) ) ).

thf(zip_derived_cl42,plain,
    aLowerBoundOfIn0 @ xu @ xS @ xT,
    inference(cnf,[status(esa)],[m__792]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ xv )
      | ~ ( aLowerBoundOfIn0 @ X0 @ xS @ xT ) ),
    inference(cnf,[status(esa)],[m__792]) ).

thf(zip_derived_cl407,plain,
    sdtlseqdt0 @ xu @ xv,
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl40]) ).

thf(mASymm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W0 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mASymm]) ).

thf(zip_derived_cl414,plain,
    ( ~ ( aElement0 @ xv )
    | ~ ( aElement0 @ xu )
    | ( xv = xu )
    | ~ ( sdtlseqdt0 @ xv @ xu ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl11]) ).

thf(zip_derived_cl45,plain,
    aElementOf0 @ xv @ xT,
    inference(cnf,[status(esa)],[m__792]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl390,plain,
    ( ( aElement0 @ xv )
    | ~ ( aSet0 @ xT ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl2]) ).

thf(m__773,axiom,
    aSet0 @ xT ).

thf(zip_derived_cl32,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__773]) ).

thf(zip_derived_cl391,plain,
    aElement0 @ xv,
    inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl32]) ).

thf(zip_derived_cl41,plain,
    aElementOf0 @ xu @ xT,
    inference(cnf,[status(esa)],[m__792]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl388,plain,
    ( ( aElement0 @ xu )
    | ~ ( aSet0 @ xT ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl2]) ).

thf(zip_derived_cl32_002,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__773]) ).

thf(zip_derived_cl389,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl32]) ).

thf(zip_derived_cl422,plain,
    ( ( xv = xu )
    | ~ ( sdtlseqdt0 @ xv @ xu ) ),
    inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl391,zip_derived_cl389]) ).

thf(m__,conjecture,
    xu = xv ).

thf(zf_stmt_0,negated_conjecture,
    xu != xv,
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl50,plain,
    xu != xv,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ~ ( sdtlseqdt0 @ xv @ xu ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl422,zip_derived_cl50]) ).

thf(zip_derived_cl43,plain,
    aLowerBoundOfIn0 @ xv @ xS @ xT,
    inference(cnf,[status(esa)],[m__792]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ xu )
      | ~ ( aLowerBoundOfIn0 @ X0 @ xS @ xT ) ),
    inference(cnf,[status(esa)],[m__792]) ).

thf(zip_derived_cl428,plain,
    sdtlseqdt0 @ xv @ xu,
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl48]) ).

thf(zip_derived_cl445,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl428]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aH75VkSmdn true
% 0.15/0.35  % Computer : n001.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 07:09:25 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % Solved by fo/fo6_bce.sh.
% 0.22/0.76  % BCE start: 51
% 0.22/0.76  % BCE eliminated: 0
% 0.22/0.76  % PE start: 51
% 0.22/0.76  logic: eq
% 0.22/0.76  % PE eliminated: 0
% 0.22/0.76  % done 37 iterations in 0.030s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % Terminating...
% 1.47/0.86  % Runner terminated.
% 1.47/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------