TSTP Solution File: NUM606+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM606+1 : 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.QsZzR4JcH2 true

% Computer : n013.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 12:42:42 EDT 2023

% Result   : Theorem 1.22s 0.79s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   48 (  16 unt;  14 typ;   0 def)
%            Number of atoms       :   77 (   2 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  194 (  33   ~;  30   |;   8   &; 118   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 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   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

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

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

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

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

thf(xe_type,type,
    xe: $i ).

thf(xd_type,type,
    xd: $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

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

thf(xO_type,type,
    xO: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

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

thf(sdtlcdtrc0_type,type,
    sdtlcdtrc0: $i > $i > $i ).

thf(m__,conjecture,
    aSubsetOf0 @ xQ @ szNzAzT0 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aSubsetOf0 @ xQ @ szNzAzT0 ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl203,plain,
    ~ ( aSubsetOf0 @ xQ @ szNzAzT0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__5093,axiom,
    ( ( xQ != slcrc0 )
    & ( aSubsetOf0 @ xQ @ xO ) ) ).

thf(zip_derived_cl202,plain,
    aSubsetOf0 @ xQ @ xO,
    inference(cnf,[status(esa)],[m__5093]) ).

thf(m__4998,axiom,
    aSubsetOf0 @ xO @ xS ).

thf(zip_derived_cl199,plain,
    aSubsetOf0 @ xO @ xS,
    inference(cnf,[status(esa)],[m__4998]) ).

thf(m__3435,axiom,
    ( ( isCountable0 @ xS )
    & ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).

thf(zip_derived_cl148,plain,
    aSubsetOf0 @ xS @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(mSubTrans,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aSet0 @ W1 )
        & ( aSet0 @ W2 ) )
     => ( ( ( aSubsetOf0 @ W0 @ W1 )
          & ( aSubsetOf0 @ W1 @ W2 ) )
       => ( aSubsetOf0 @ W0 @ W2 ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSet0 @ X2 )
      | ( aSubsetOf0 @ X0 @ X2 )
      | ~ ( aSubsetOf0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[mSubTrans]) ).

thf(mDefSub,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
               => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl1580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X1 @ X2 )
      | ( aSubsetOf0 @ X0 @ X2 )
      | ~ ( aSet0 @ X2 )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).

thf(zip_derived_cl1582,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSet0 @ szNzAzT0 )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl1580]) ).

thf(mNATSet,axiom,
    ( ( isCountable0 @ szNzAzT0 )
    & ( aSet0 @ szNzAzT0 ) ) ).

thf(zip_derived_cl44,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl1588,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl1582,zip_derived_cl44]) ).

thf(zip_derived_cl1620,plain,
    ( ( aSubsetOf0 @ xO @ szNzAzT0 )
    | ~ ( aSet0 @ xO ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl1588]) ).

thf(m__4891,axiom,
    ( ( xO
      = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
    & ( aSet0 @ xO ) ) ).

thf(zip_derived_cl193,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl1622,plain,
    aSubsetOf0 @ xO @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl1620,zip_derived_cl193]) ).

thf(zip_derived_cl1580_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X1 @ X2 )
      | ( aSubsetOf0 @ X0 @ X2 )
      | ~ ( aSet0 @ X2 )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).

thf(zip_derived_cl1628,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSet0 @ szNzAzT0 )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ xO ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl1580]) ).

thf(zip_derived_cl44_002,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl1633,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ xO ) ),
    inference(demod,[status(thm)],[zip_derived_cl1628,zip_derived_cl44]) ).

thf(zip_derived_cl1639,plain,
    ( ( aSubsetOf0 @ xQ @ szNzAzT0 )
    | ~ ( aSet0 @ xQ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl1633]) ).

thf(zip_derived_cl202_003,plain,
    aSubsetOf0 @ xQ @ xO,
    inference(cnf,[status(esa)],[m__5093]) ).

thf(zip_derived_cl14_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl1556,plain,
    ( ( aSet0 @ xQ )
    | ~ ( aSet0 @ xO ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl14]) ).

thf(zip_derived_cl193_005,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl1603,plain,
    aSet0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl1556,zip_derived_cl193]) ).

thf(zip_derived_cl1641,plain,
    aSubsetOf0 @ xQ @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl1639,zip_derived_cl1603]) ).

thf(zip_derived_cl1644,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl1641]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM606+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QsZzR4JcH2 true
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 11:03:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.79  % Solved by fo/fo6_bce.sh.
% 1.22/0.79  % BCE start: 204
% 1.22/0.79  % BCE eliminated: 0
% 1.22/0.79  % PE start: 204
% 1.22/0.79  logic: eq
% 1.22/0.79  % PE eliminated: 1
% 1.22/0.79  % done 103 iterations in 0.081s
% 1.22/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.79  % SZS output start Refutation
% See solution above
% 1.22/0.79  
% 1.22/0.79  
% 1.22/0.79  % Terminating...
% 1.54/0.84  % Runner terminated.
% 1.54/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------