TSTP Solution File: NUM540+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM540+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.ddT9EChTJy 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 12:42:13 EDT 2023

% Result   : Theorem 0.14s 0.71s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (  13 unt;   9 typ;   0 def)
%            Number of atoms       :   55 (  16 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  168 (  25   ~;  20   |;   3   &; 115   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  18   !;   1   ?;  19   :)

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

thf(sz00_type,type,
    sz00: $i ).

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

thf(slbdtrb0_type,type,
    slbdtrb0: $i > $i ).

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

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

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

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

thf(sk__type,type,
    sk_: $i > $i ).

thf(mZeroNum,axiom,
    aElementOf0 @ sz00 @ szNzAzT0 ).

thf(zip_derived_cl5,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(mDefSeg,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ! [W1: $i] :
          ( ( W1
            = ( slbdtrb0 @ W0 ) )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
              <=> ( ( aElementOf0 @ W2 @ szNzAzT0 )
                  & ( sdtlseqdt0 @ ( szszuzczcdt0 @ W2 ) @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( slbdtrb0 @ X0 ) )
      | ( aSet0 @ X1 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mDefSeg]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0
       != ( slbdtrb0 @ sz00 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl20]) ).

thf(zip_derived_cl27,plain,
    aSet0 @ ( slbdtrb0 @ sz00 ),
    inference(eq_res,[status(thm)],[zip_derived_cl25]) ).

thf(mDefEmp,axiom,
    ! [W0: $i] :
      ( ( W0 = slcrc0 )
    <=> ( ( aSet0 @ W0 )
        & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl34,plain,
    ( ( aElementOf0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) @ ( slbdtrb0 @ sz00 ) )
    | ( ( slbdtrb0 @ sz00 )
      = slcrc0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl2]) ).

thf(m__,conjecture,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( slbdtrb0 @ sz00 )
   != slcrc0 ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl22,plain,
    ( ( slbdtrb0 @ sz00 )
   != slcrc0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    aElementOf0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) @ ( slbdtrb0 @ sz00 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl34,zip_derived_cl22]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( slbdtrb0 @ X0 ) )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ X2 ) @ X0 )
      | ~ ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mDefSeg]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) ) @ X0 )
      | ( ( slbdtrb0 @ sz00 )
       != ( slbdtrb0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl19]) ).

thf(mNoScLessZr,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ sz00 ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ sz00 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mNoScLessZr]) ).

thf(zip_derived_cl233,plain,
    ( ( ( slbdtrb0 @ sz00 )
     != ( slbdtrb0 @ sz00 ) )
    | ~ ( aElementOf0 @ sz00 @ szNzAzT0 )
    | ~ ( aElementOf0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl11]) ).

thf(zip_derived_cl5_001,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(zip_derived_cl5_002,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(zip_derived_cl35_003,plain,
    aElementOf0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) @ ( slbdtrb0 @ sz00 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl34,zip_derived_cl22]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( slbdtrb0 @ X0 ) )
      | ( aElementOf0 @ X2 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mDefSeg]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aElementOf0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) @ szNzAzT0 )
      | ( ( slbdtrb0 @ sz00 )
       != ( slbdtrb0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl18]) ).

thf(zip_derived_cl47,plain,
    ( ( ( slbdtrb0 @ sz00 )
     != ( slbdtrb0 @ sz00 ) )
    | ( aElementOf0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl42]) ).

thf(zip_derived_cl49,plain,
    aElementOf0 @ ( sk_ @ ( slbdtrb0 @ sz00 ) ) @ szNzAzT0,
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl236,plain,
    ( ( slbdtrb0 @ sz00 )
   != ( slbdtrb0 @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl5,zip_derived_cl49]) ).

thf(zip_derived_cl237,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl236]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : NUM540+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.ddT9EChTJy true
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Fri Aug 25 10:32:42 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Running portfolio for 300 s
% 0.09/0.29  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29  % Number of cores: 8
% 0.09/0.29  % Python version: Python 3.6.8
% 0.09/0.29  % Running in FO mode
% 0.14/0.50  % Total configuration time : 435
% 0.14/0.50  % Estimated wc time : 1092
% 0.14/0.50  % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.53  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.55  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.56  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.56  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.57  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.57  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.58  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.71  % Solved by fo/fo4.sh.
% 0.14/0.71  % done 111 iterations in 0.076s
% 0.14/0.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.14/0.71  % SZS output start Refutation
% See solution above
% 0.14/0.71  
% 0.14/0.71  
% 0.14/0.71  % Terminating...
% 2.90/0.95  % Runner terminated.
% 2.90/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------