TSTP Solution File: NUM623+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM623+3 : 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.oSy3RMoqql true

% Computer : n009.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 0.54s 0.90s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   42 (  12 unt;  17 typ;   0 def)
%            Number of atoms       :   52 (  10 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  139 (  16   ~;  11   |;  11   &;  96   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  10   !;   1   ?;  11   :)

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

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

thf(xx_type,type,
    xx: $i ).

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

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

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

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

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

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

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

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

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

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

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

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

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

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

thf(m__5147,axiom,
    ( ( xp
      = ( szmzizndt0 @ xQ ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( sdtlseqdt0 @ xp @ W0 ) )
    & ( aElementOf0 @ xp @ xQ ) ) ).

thf(zip_derived_cl253,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ xp @ X0 )
      | ~ ( aElementOf0 @ X0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5147]) ).

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

thf(zip_derived_cl293,plain,
    aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ),
    inference(cnf,[status(esa)],[m__5481]) ).

thf(m__5401,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
     => ( sdtlseqdt0 @ xx @ W0 ) ) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ xx @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
    inference(cnf,[status(esa)],[m__5401]) ).

thf(zip_derived_cl2643,plain,
    sdtlseqdt0 @ xx @ xp,
    inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl286]) ).

thf(mLessASymm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W0 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mLessASymm]) ).

thf(zip_derived_cl2743,plain,
    ( ~ ( sdtlseqdt0 @ xp @ xx )
    | ( xp = xx )
    | ~ ( aElementOf0 @ xx @ szNzAzT0 )
    | ~ ( aElementOf0 @ xp @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2643,zip_derived_cl36]) ).

thf(m__5365,axiom,
    ( ? [W0: $i] :
        ( ( ( sdtlpdtrp0 @ xe @ W0 )
          = xx )
        & ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
    & ( aElementOf0 @ xx @ szNzAzT0 ) ) ).

thf(zip_derived_cl281,plain,
    aElementOf0 @ xx @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5365]) ).

thf(m__5106,axiom,
    ( ( aSubsetOf0 @ xQ @ szNzAzT0 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ).

thf(zip_derived_cl250,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5106]) ).

thf(zip_derived_cl252,plain,
    aElementOf0 @ xp @ xQ,
    inference(cnf,[status(esa)],[m__5147]) ).

thf(zip_derived_cl2560,plain,
    aElementOf0 @ xp @ szNzAzT0,
    inference('sup+',[status(thm)],[zip_derived_cl250,zip_derived_cl252]) ).

thf(zip_derived_cl2750,plain,
    ( ~ ( sdtlseqdt0 @ xp @ xx )
    | ( xp = xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl2743,zip_derived_cl281,zip_derived_cl2560]) ).

thf(m__,conjecture,
    xp = xx ).

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

thf(zip_derived_cl294,plain,
    xp != xx,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2751,plain,
    ~ ( sdtlseqdt0 @ xp @ xx ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2750,zip_derived_cl294]) ).

thf(zip_derived_cl2753,plain,
    ~ ( aElementOf0 @ xx @ xQ ),
    inference('sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl2751]) ).

thf(m__5348,axiom,
    ( ( aElementOf0 @ xx @ xP )
    & ( xx
     != ( szmzizndt0 @ xQ ) )
    & ( aElementOf0 @ xx @ xQ )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl279,plain,
    aElementOf0 @ xx @ xQ,
    inference(cnf,[status(esa)],[m__5348]) ).

thf(zip_derived_cl2754,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2753,zip_derived_cl279]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM623+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oSy3RMoqql true
% 0.13/0.34  % Computer : n009.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 09:39:36 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
% 0.53/0.64  % Total configuration time : 435
% 0.53/0.64  % Estimated wc time : 1092
% 0.53/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.54/0.90  % Solved by fo/fo3_bce.sh.
% 0.54/0.90  % BCE start: 295
% 0.54/0.90  % BCE eliminated: 0
% 0.54/0.90  % PE start: 295
% 0.54/0.90  logic: eq
% 0.54/0.90  % PE eliminated: -12
% 0.54/0.90  % done 150 iterations in 0.140s
% 0.54/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.90  % SZS output start Refutation
% See solution above
% 0.54/0.90  
% 0.54/0.90  
% 0.54/0.90  % Terminating...
% 0.57/0.96  % Runner terminated.
% 0.57/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------