TSTP Solution File: NUM617+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM617+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.z7pU3Mz8aO true

% Computer : n032.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 12:42:46 EDT 2023

% Result   : Theorem 0.15s 0.69s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   34 (  16 unt;   8 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  112 (  17   ~;  15   |;   2   &;  75   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xx_type,type,
    xx: $i ).

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

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

thf(xP_type,type,
    xP: $i ).

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

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

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

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

thf(m__,conjecture,
    aElementOf0 @ xx @ szNzAzT0 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ xx @ szNzAzT0 ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl219,plain,
    ~ ( aElementOf0 @ xx @ szNzAzT0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__5348,axiom,
    aElementOf0 @ xx @ xP ).

thf(zip_derived_cl218,plain,
    aElementOf0 @ xx @ xP,
    inference(cnf,[status(esa)],[m__5348]) ).

thf(m__5195,axiom,
    aSubsetOf0 @ xP @ xQ ).

thf(zip_derived_cl210,plain,
    aSubsetOf0 @ xP @ xQ,
    inference(cnf,[status(esa)],[m__5195]) ).

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_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl1676,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xQ )
      | ~ ( aElementOf0 @ X0 @ xP )
      | ~ ( aSet0 @ xQ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl13]) ).

thf(m__5106,axiom,
    aSubsetOf0 @ xQ @ szNzAzT0 ).

thf(zip_derived_cl203,plain,
    aSubsetOf0 @ xQ @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5106]) ).

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

thf(zip_derived_cl1641,plain,
    ( ( aSet0 @ xQ )
    | ~ ( aSet0 @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl14]) ).

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

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

thf(zip_derived_cl1646,plain,
    aSet0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl1641,zip_derived_cl44]) ).

thf(zip_derived_cl1681,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xQ )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference(demod,[status(thm)],[zip_derived_cl1676,zip_derived_cl1646]) ).

thf(zip_derived_cl1752,plain,
    aElementOf0 @ xx @ xQ,
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl1681]) ).

thf(zip_derived_cl203_001,plain,
    aSubsetOf0 @ xQ @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5106]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl1640,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xQ )
      | ~ ( aSet0 @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl13]) ).

thf(zip_derived_cl44_003,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl1645,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xQ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1640,zip_derived_cl44]) ).

thf(zip_derived_cl1758,plain,
    aElementOf0 @ xx @ szNzAzT0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl1645]) ).

thf(zip_derived_cl1763,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl1758]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z7pU3Mz8aO true
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Fri Aug 25 08:40:27 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.10/0.29  % Running portfolio for 300 s
% 0.10/0.29  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.29  % Number of cores: 8
% 0.10/0.29  % Python version: Python 3.6.8
% 0.10/0.30  % Running in FO mode
% 0.15/0.50  % Total configuration time : 435
% 0.15/0.50  % Estimated wc time : 1092
% 0.15/0.50  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.57  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.57  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.57  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.57  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.60  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.60  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.60  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.64  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.15/0.69  % Solved by fo/fo6_bce.sh.
% 0.15/0.69  % BCE start: 220
% 0.15/0.69  % BCE eliminated: 0
% 0.15/0.69  % PE start: 220
% 0.15/0.69  logic: eq
% 0.15/0.69  % PE eliminated: 1
% 0.15/0.69  % done 139 iterations in 0.093s
% 0.15/0.69  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.15/0.69  % SZS output start Refutation
% See solution above
% 0.15/0.69  
% 0.15/0.69  
% 0.15/0.69  % Terminating...
% 1.50/0.81  % Runner terminated.
% 1.50/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------