TSTP Solution File: NUM549+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM549+1 : 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.dVbatR8XUX true

% Computer : n026.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 12:42:17 EDT 2023

% Result   : Theorem 0.22s 0.78s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   41 (   8 unt;  12 typ;   0 def)
%            Number of atoms       :   64 (  27 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  113 (  22   ~;  23   |;   7   &;  56   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  14   !;   3   ?;  17   :)

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

thf(sk__type,type,
    sk_: $i > $i ).

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

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

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

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

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

thf(isFinite0_type,type,
    isFinite0: $i > $o ).

thf(slcrc0_type,type,
    slcrc0: $i ).

thf(xQ_type,type,
    xQ: $i ).

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

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

thf(mCardEmpty,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( ( ( sbrdtbr0 @ W0 )
          = sz00 )
      <=> ( W0 = slcrc0 ) ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( X0 != slcrc0 )
      | ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(mDefEmp,axiom,
    ! [W0: $i] :
      ( ( W0 = slcrc0 )
    <=> ( ( aSet0 @ W0 )
        & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl990,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ( X0 != slcrc0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

thf(m__2291,axiom,
    ( ( ( sbrdtbr0 @ xQ )
      = xk )
    & ( isFinite0 @ xQ )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl118,plain,
    ( ( sbrdtbr0 @ xQ )
    = xk ),
    inference(cnf,[status(esa)],[m__2291]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

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_cl901,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( X0 = slcrc0 )
      | ( aElement0 @ ( sk_ @ X0 ) )
      | ~ ( aSet0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).

thf(zip_derived_cl903,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( sk_ @ X0 ) )
      | ( X0 = slcrc0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl901]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( aElementOf0 @ W0 @ xQ )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xQ )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl907,plain,
    ( ~ ( aSet0 @ xQ )
    | ( xQ = slcrc0 )
    | ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl121]) ).

thf(zip_derived_cl120,plain,
    aSet0 @ xQ,
    inference(cnf,[status(esa)],[m__2291]) ).

thf(zip_derived_cl908,plain,
    ( ( xQ = slcrc0 )
    | ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl907,zip_derived_cl120]) ).

thf(zip_derived_cl931,plain,
    ( ~ ( aSet0 @ xQ )
    | ( xQ = slcrc0 )
    | ( xQ = slcrc0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl903,zip_derived_cl908]) ).

thf(zip_derived_cl120_002,plain,
    aSet0 @ xQ,
    inference(cnf,[status(esa)],[m__2291]) ).

thf(zip_derived_cl932,plain,
    ( ( xQ = slcrc0 )
    | ( xQ = slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl931,zip_derived_cl120]) ).

thf(zip_derived_cl933,plain,
    xQ = slcrc0,
    inference(simplify,[status(thm)],[zip_derived_cl932]) ).

thf(zip_derived_cl934,plain,
    ( ( sbrdtbr0 @ slcrc0 )
    = xk ),
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl933]) ).

thf(zip_derived_cl993,plain,
    ( ( slcrc0 != slcrc0 )
    | ( sz00 = xk ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl990,zip_derived_cl934]) ).

thf(zip_derived_cl995,plain,
    sz00 = xk,
    inference(simplify,[status(thm)],[zip_derived_cl993]) ).

thf(m__2202_02,axiom,
    ( ( xk != sz00 )
    & ( aSet0 @ xT )
    & ( aSet0 @ xS ) ) ).

thf(zip_derived_cl111,plain,
    xk != sz00,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl996,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl995,zip_derived_cl111]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM549+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dVbatR8XUX true
% 0.14/0.35  % Computer : n026.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
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 14:03:47 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.22/0.73  % /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  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.78  % Solved by fo/fo6_bce.sh.
% 0.22/0.78  % BCE start: 122
% 0.22/0.78  % BCE eliminated: 1
% 0.22/0.78  % PE start: 121
% 0.22/0.78  logic: eq
% 0.22/0.78  % PE eliminated: 0
% 0.22/0.78  % done 77 iterations in 0.051s
% 0.22/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.78  % SZS output start Refutation
% See solution above
% 1.38/0.79  
% 1.38/0.79  
% 1.38/0.79  % Terminating...
% 1.68/0.86  % Runner terminated.
% 1.68/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------