TSTP Solution File: NUM624+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM624+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.u5bTcqrCvX true

% Computer : n004.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 12:42:49 EDT 2023

% Result   : Theorem 1.54s 0.87s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   40 (  17 unt;  12 typ;   0 def)
%            Number of atoms       :   71 (  34 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  210 (  31   ~;  32   |;   9   &; 136   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

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

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(xN_type,type,
    xN: $i ).

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

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

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

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

thf(xm_type,type,
    xm: $i ).

thf(xp_type,type,
    xp: $i ).

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

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

thf(m__5147,axiom,
    ( xp
    = ( szmzizndt0 @ xQ ) ) ).

thf(zip_derived_cl56,plain,
    ( xp
    = ( szmzizndt0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5147]) ).

thf(m__5401,axiom,
    ( xx
    = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ).

thf(zip_derived_cl74,plain,
    ( xx
    = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
    inference(cnf,[status(esa)],[m__5401]) ).

thf(mMinMin,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
        & ( aSubsetOf0 @ W1 @ szNzAzT0 )
        & ( W0 != slcrc0 )
        & ( W1 != slcrc0 ) )
     => ( ( ( aElementOf0 @ ( szmzizndt0 @ W0 ) @ W1 )
          & ( aElementOf0 @ ( szmzizndt0 @ W1 ) @ W0 ) )
       => ( ( szmzizndt0 @ W0 )
          = ( szmzizndt0 @ W1 ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = slcrc0 )
      | ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSubsetOf0 @ X1 @ szNzAzT0 )
      | ( X1 = slcrc0 )
      | ( ( szmzizndt0 @ X0 )
        = ( szmzizndt0 @ X1 ) )
      | ~ ( aElementOf0 @ ( szmzizndt0 @ X1 ) @ X0 )
      | ~ ( aElementOf0 @ ( szmzizndt0 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[mMinMin]) ).

thf(zip_derived_cl421,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ xx @ X0 )
      | ~ ( aElementOf0 @ ( szmzizndt0 @ X0 ) @ ( sdtlpdtrp0 @ xN @ xm ) )
      | ( ( szmzizndt0 @ X0 )
        = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) )
      | ( ( sdtlpdtrp0 @ xN @ xm )
        = slcrc0 )
      | ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0 )
      | ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ( X0 = slcrc0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl8]) ).

thf(zip_derived_cl74_001,plain,
    ( xx
    = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
    inference(cnf,[status(esa)],[m__5401]) ).

thf(zip_derived_cl423,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ xx @ X0 )
      | ~ ( aElementOf0 @ ( szmzizndt0 @ X0 ) @ ( sdtlpdtrp0 @ xN @ xm ) )
      | ( ( szmzizndt0 @ X0 )
        = xx )
      | ( ( sdtlpdtrp0 @ xN @ xm )
        = slcrc0 )
      | ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0 )
      | ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ( X0 = slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl421,zip_derived_cl74]) ).

thf(m__5518,axiom,
    ( ( ( sdtlpdtrp0 @ xN @ xm )
     != slcrc0 )
    & ( xQ != slcrc0 )
    & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0 )
    & ( aSubsetOf0 @ xQ @ szNzAzT0 ) ) ).

thf(zip_derived_cl79,plain,
    ( ( sdtlpdtrp0 @ xN @ xm )
   != slcrc0 ),
    inference(cnf,[status(esa)],[m__5518]) ).

thf(zip_derived_cl424,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ xx @ X0 )
      | ~ ( aElementOf0 @ ( szmzizndt0 @ X0 ) @ ( sdtlpdtrp0 @ xN @ xm ) )
      | ( ( szmzizndt0 @ X0 )
        = xx )
      | ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0 )
      | ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ( X0 = slcrc0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl423,zip_derived_cl79]) ).

thf(zip_derived_cl81,plain,
    aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5518]) ).

thf(zip_derived_cl943,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ xx @ X0 )
      | ~ ( aElementOf0 @ ( szmzizndt0 @ X0 ) @ ( sdtlpdtrp0 @ xN @ xm ) )
      | ( ( szmzizndt0 @ X0 )
        = xx )
      | ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ( X0 = slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl424,zip_derived_cl81]) ).

thf(zip_derived_cl947,plain,
    ( ~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) )
    | ( xQ = slcrc0 )
    | ~ ( aSubsetOf0 @ xQ @ szNzAzT0 )
    | ( ( szmzizndt0 @ xQ )
      = xx )
    | ~ ( aElementOf0 @ xx @ xQ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl943]) ).

thf(m__5481,axiom,
    ( ( aElementOf0 @ xx @ xQ )
    & ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ).

thf(zip_derived_cl78,plain,
    aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ),
    inference(cnf,[status(esa)],[m__5481]) ).

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

thf(zip_derived_cl55,plain,
    aSubsetOf0 @ xQ @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5106]) ).

thf(zip_derived_cl56_002,plain,
    ( xp
    = ( szmzizndt0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5147]) ).

thf(zip_derived_cl77,plain,
    aElementOf0 @ xx @ xQ,
    inference(cnf,[status(esa)],[m__5481]) ).

thf(zip_derived_cl953,plain,
    ( ( xQ = slcrc0 )
    | ( xp = xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl947,zip_derived_cl78,zip_derived_cl55,zip_derived_cl56,zip_derived_cl77]) ).

thf(m__,conjecture,
    xp = xx ).

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

thf(zip_derived_cl83,plain,
    xp != xx,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl53,plain,
    xQ != slcrc0,
    inference(cnf,[status(esa)],[m__5093]) ).

thf(zip_derived_cl954,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl953,zip_derived_cl83,zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM624+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.u5bTcqrCvX true
% 0.13/0.34  % Computer : n004.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 14:15:08 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.54/0.87  % Solved by fo/fo3_bce.sh.
% 1.54/0.87  % BCE start: 84
% 1.54/0.87  % BCE eliminated: 2
% 1.54/0.87  % PE start: 82
% 1.54/0.87  logic: eq
% 1.54/0.87  % PE eliminated: 2
% 1.54/0.87  % done 192 iterations in 0.125s
% 1.54/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/0.87  % SZS output start Refutation
% See solution above
% 1.54/0.87  
% 1.54/0.87  
% 1.54/0.87  % Terminating...
% 1.86/0.97  % Runner terminated.
% 1.86/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------