TSTP Solution File: NUM613+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM613+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.iE37UhU13q true

% Computer : n020.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 12:42:45 EDT 2023

% Result   : Theorem 1.25s 0.88s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   42 (  16 unt;  16 typ;   0 def)
%            Number of atoms       :   54 (  30 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  154 (  14   ~;  10   |;  13   &; 112   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   7 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

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

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

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

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

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

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

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

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

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(xk_type,type,
    xk: $i ).

thf(xK_type,type,
    xK: $i ).

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

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

thf(m__5255,axiom,
    ( ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    & ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
      = ( sbrdtbr0 @ xQ ) )
    & ( ( sbrdtbr0 @ xQ )
      = ( szszuzczcdt0 @ xk ) ) ) ).

thf(zip_derived_cl458,plain,
    ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
    = ( sbrdtbr0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5255]) ).

thf(m__5164,axiom,
    ( ( xP
      = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xP )
      <=> ( ( aElement0 @ W0 )
          & ( aElementOf0 @ W0 @ xQ )
          & ( W0
           != ( szmzizndt0 @ xQ ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( sdtlseqdt0 @ ( szmzizndt0 @ xQ ) @ W0 ) )
    & ( aSet0 @ xP ) ) ).

thf(zip_derived_cl449,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(m__5078,axiom,
    ( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) )
    & ( ( sbrdtbr0 @ xQ )
      = xK )
    & ( aSubsetOf0 @ xQ @ xO )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( aElementOf0 @ W0 @ xO ) )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl429,plain,
    ( ( sbrdtbr0 @ xQ )
    = xK ),
    inference(cnf,[status(esa)],[m__5078]) ).

thf(zip_derived_cl568,plain,
    ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl449,zip_derived_cl429]) ).

thf(m__3533,axiom,
    ( ( ( szszuzczcdt0 @ xk )
      = xK )
    & ( aElementOf0 @ xk @ szNzAzT0 ) ) ).

thf(zip_derived_cl197,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(mSuccEquSucc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( ( szszuzczcdt0 @ W0 )
          = ( szszuzczcdt0 @ W1 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( X0 = X1 )
      | ( ( szszuzczcdt0 @ X0 )
       != ( szszuzczcdt0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSuccEquSucc]) ).

thf(zip_derived_cl638,plain,
    ! [X0: $i] :
      ( ( ( szszuzczcdt0 @ xk )
       != ( szszuzczcdt0 @ X0 ) )
      | ( xk = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl197,zip_derived_cl48]) ).

thf(zip_derived_cl196,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl641,plain,
    ! [X0: $i] :
      ( ( xK
       != ( szszuzczcdt0 @ X0 ) )
      | ( xk = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl638,zip_derived_cl196]) ).

thf(zip_derived_cl650,plain,
    ( ( xK != xK )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) @ szNzAzT0 )
    | ( xk
      = ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl641]) ).

thf(zip_derived_cl457,plain,
    aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5255]) ).

thf(zip_derived_cl449_001,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl590,plain,
    aElementOf0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl449]) ).

thf(zip_derived_cl652,plain,
    ( ( xK != xK )
    | ( xk
      = ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl650,zip_derived_cl590]) ).

thf(zip_derived_cl653,plain,
    ( xk
    = ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl652]) ).

thf(m__,conjecture,
    ( ( sbrdtbr0 @ xP )
    = xk ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sbrdtbr0 @ xP )
   != xk ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl460,plain,
    ( ( sbrdtbr0 @ xP )
   != xk ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl449_002,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl485,plain,
    ( ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
   != xk ),
    inference(demod,[status(thm)],[zip_derived_cl460,zip_derived_cl449]) ).

thf(zip_derived_cl654,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl653,zip_derived_cl485]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM613+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iE37UhU13q true
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 16:41:45 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.88  % Solved by fo/fo7.sh.
% 1.25/0.88  % done 221 iterations in 0.092s
% 1.25/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.88  % SZS output start Refutation
% See solution above
% 1.25/0.88  
% 1.25/0.88  
% 1.25/0.88  % Terminating...
% 1.63/0.96  % Runner terminated.
% 1.63/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------