TSTP Solution File: SEU230+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QVoc5YE0mb true

% Computer : n010.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 19:11:26 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   27 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   75 (   9   ~;   8   |;   0   &;  54   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(singleton_type,type,
    singleton: $i > $i ).

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(succ_type,type,
    succ: $i > $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(t10_ordinal1,conjecture,
    ! [A: $i] : ( in @ A @ ( succ @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] : ( in @ A @ ( succ @ A ) ),
    inference('cnf.neg',[status(esa)],[t10_ordinal1]) ).

thf(zip_derived_cl54,plain,
    ~ ( in @ sk__12 @ ( succ @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_ordinal1,axiom,
    ! [A: $i] :
      ( ( succ @ A )
      = ( set_union2 @ A @ ( singleton @ A ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( succ @ X0 )
      = ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_ordinal1]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( singleton @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl95]) ).

thf(d2_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_union2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            | ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X2
       != ( set_union2 @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[d2_xboole_0]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ X1 )
      | ( X1
       != ( set_union2 @ X2 @ ( singleton @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl12]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( X1
       != ( succ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl114]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] : ( in @ X0 @ ( succ @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl126,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl123]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QVoc5YE0mb true
% 0.15/0.34  % Computer : n010.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Wed Aug 23 12:14:06 EDT 2023
% 0.15/0.34  % CPUTime  : 
% 0.15/0.34  % Running portfolio for 300 s
% 0.15/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % 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/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % Solved by fo/fo1_av.sh.
% 0.21/0.76  % done 89 iterations in 0.022s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 1.49/0.84  % Runner terminated.
% 1.49/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------