TSTP Solution File: NUM610+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM610+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.TPdnJjz87b true

% Computer : n028.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 12:42:43 EDT 2023

% Result   : Theorem 1.30s 0.81s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   35 (  10 unt;  14 typ;   0 def)
%            Number of atoms       :   50 (   3 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  129 (  20   ~;  17   |;   7   &;  80   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

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

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

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

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

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

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

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(szmzizndt0_type,type,
    szmzizndt0: $i > $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(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

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

thf(m__,conjecture,
    aSubsetOf0 @ xP @ xO ).

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

thf(zip_derived_cl211,plain,
    ~ ( aSubsetOf0 @ xP @ xO ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

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

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

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_cl1599,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_cl1602,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ xO )
      | ~ ( aSet0 @ xO )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ xQ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl1599]) ).

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_cl1608,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ xO )
      | ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ xQ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1602,zip_derived_cl193]) ).

thf(zip_derived_cl1652,plain,
    ( ( aSubsetOf0 @ xP @ xO )
    | ~ ( aSet0 @ xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl1608]) ).

thf(m__5164,axiom,
    ( ( xP
      = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
    & ( aSet0 @ xP ) ) ).

thf(zip_derived_cl207,plain,
    aSet0 @ xP,
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl1654,plain,
    aSubsetOf0 @ xP @ xO,
    inference(demod,[status(thm)],[zip_derived_cl1652,zip_derived_cl207]) ).

thf(zip_derived_cl1656,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl1654]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM610+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.TPdnJjz87b true
% 0.13/0.34  % Computer : n028.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 13:25:21 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.81  % Solved by fo/fo6_bce.sh.
% 1.30/0.81  % BCE start: 212
% 1.30/0.81  % BCE eliminated: 0
% 1.30/0.81  % PE start: 212
% 1.30/0.81  logic: eq
% 1.30/0.81  % PE eliminated: 1
% 1.30/0.81  % done 94 iterations in 0.082s
% 1.30/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.81  % SZS output start Refutation
% See solution above
% 1.30/0.81  
% 1.30/0.81  
% 1.30/0.81  % Terminating...
% 1.30/0.85  % Runner terminated.
% 1.30/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------