TSTP Solution File: SEU186+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU186+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.83TxxQs5Sx true

% Computer : n011.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 19:11:05 EDT 2023

% Result   : Theorem 1.17s 0.83s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   35 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   43 (  21 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  101 (  15   ~;   9   |;   2   &;  68   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  22   !;   1   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_type,type,
    relation: $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

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

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(empty_type,type,
    empty: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk__3 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(t6_boole,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(rc1_relat_1,axiom,
    ? [A: $i] :
      ( ( relation @ A )
      & ( empty @ A ) ) ).

thf(zip_derived_cl30,plain,
    empty @ sk__11,
    inference(cnf,[status(esa)],[rc1_relat_1]) ).

thf(zip_derived_cl61,plain,
    sk__11 = empty_set,
    inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl30]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ( X0 = sk__11 )
      | ( in @ ( sk__3 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl61]) ).

thf(t56_relat_1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ! [B: $i,C: $i] :
            ~ ( in @ ( ordered_pair @ B @ C ) @ A )
       => ( A = empty_set ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ! [B: $i,C: $i] :
              ~ ( in @ ( ordered_pair @ B @ C ) @ A )
         => ( A = empty_set ) ) ),
    inference('cnf.neg',[status(esa)],[t56_relat_1]) ).

thf(zip_derived_cl52,plain,
    relation @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112_001,plain,
    ! [X0: $i] :
      ( ( X0 = sk__11 )
      | ( in @ ( sk__3 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl61]) ).

thf(d1_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
    <=> ! [B: $i] :
          ~ ( ( in @ B @ A )
            & ! [C: $i,D: $i] :
                ( B
               != ( ordered_pair @ C @ D ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) )
      | ~ ( in @ X0 @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d1_relat_1]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ( ( X0 = sk__11 )
      | ~ ( relation @ X0 )
      | ( ( sk__3 @ X0 )
        = ( ordered_pair @ ( sk__1 @ ( sk__3 @ X0 ) ) @ ( sk__2 @ ( sk__3 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl2]) ).

thf(zip_derived_cl332,plain,
    ( ( ( sk__3 @ sk__14 )
      = ( ordered_pair @ ( sk__1 @ ( sk__3 @ sk__14 ) ) @ ( sk__2 @ ( sk__3 @ sk__14 ) ) ) )
    | ( sk__14 = sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl114]) ).

thf(zip_derived_cl53,plain,
    sk__14 != empty_set,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61_002,plain,
    sk__11 = empty_set,
    inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl30]) ).

thf(zip_derived_cl69,plain,
    sk__14 != sk__11,
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl61]) ).

thf(zip_derived_cl333,plain,
    ( ( sk__3 @ sk__14 )
    = ( ordered_pair @ ( sk__1 @ ( sk__3 @ sk__14 ) ) @ ( sk__2 @ ( sk__3 @ sk__14 ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl332,zip_derived_cl69]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl340,plain,
    ~ ( in @ ( sk__3 @ sk__14 ) @ sk__14 ),
    inference('sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl54]) ).

thf(zip_derived_cl348,plain,
    sk__14 = sk__11,
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl340]) ).

thf(zip_derived_cl69_003,plain,
    sk__14 != sk__11,
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl61]) ).

thf(zip_derived_cl349,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl348,zip_derived_cl69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU186+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.83TxxQs5Sx true
% 0.13/0.34  % Computer : n011.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
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 20:28:37 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
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.83  % Solved by fo/fo4.sh.
% 1.17/0.83  % done 114 iterations in 0.058s
% 1.17/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.17/0.83  % SZS output start Refutation
% See solution above
% 1.17/0.83  
% 1.17/0.83  
% 1.17/0.83  % Terminating...
% 1.17/0.90  % Runner terminated.
% 1.17/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------