%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU187+2 : 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.DPIrjXiWdv true

% Computer : n012.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 1.31s 0.83s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (   7 unt;  10 typ;   0 def)
%            Number of atoms       :   63 (  32 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  192 (  25   ~;  25   |;   3   &; 132   @)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  26   !;   2   ?;  28   :)

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

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

thf(sk__6_type,type,
    sk__6: $i > $i > $i ).

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

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

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

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

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

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

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

thf(fc4_relat_1,axiom,
    ( ( relation @ empty_set )
    & ( empty @ empty_set ) ) ).

thf(zip_derived_cl11,plain,
    relation @ empty_set,
    inference(cnf,[status(esa)],[fc4_relat_1]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk_ @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(d5_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_rng @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__6 @ X2 @ X0 ) @ X2 ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = empty_set )
      | ~ ( relation @ X1 )
      | ( in @ ( ordered_pair @ ( sk__6 @ ( sk_ @ X0 ) @ X1 ) @ ( sk_ @ X0 ) ) @ X1 )
      | ( X0
       != ( relation_rng @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i] :
      ( ( X0
       != ( relation_rng @ empty_set ) )
      | ( in @ ( ordered_pair @ ( sk__6 @ ( sk_ @ X0 ) @ empty_set ) @ ( sk_ @ X0 ) ) @ empty_set )
      | ( X0 = empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl58]) ).

thf(zip_derived_cl695,plain,
    ( ( ( relation_rng @ empty_set )
      = empty_set )
    | ( in @ ( ordered_pair @ ( sk__6 @ ( sk_ @ ( relation_rng @ empty_set ) ) @ empty_set ) @ ( sk_ @ ( relation_rng @ empty_set ) ) ) @ empty_set ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl239]) ).

thf(t60_relat_1,conjecture,
    ( ( ( relation_dom @ empty_set )
      = empty_set )
    & ( ( relation_rng @ empty_set )
      = empty_set ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( relation_dom @ empty_set )
        = empty_set )
      & ( ( relation_rng @ empty_set )
        = empty_set ) ),
    inference('cnf.neg',[status(esa)],[t60_relat_1]) ).

thf(zip_derived_cl38,plain,
    ( ( ( relation_dom @ empty_set )
     != empty_set )
    | ( ( relation_rng @ empty_set )
     != empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11_001,plain,
    relation @ empty_set,
    inference(cnf,[status(esa)],[fc4_relat_1]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk_ @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(d4_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_dom @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( relation_dom @ X0 ) )
      | ( in @ ( ordered_pair @ X2 @ ( sk__3 @ X2 @ X0 ) ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d4_relat_1]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = empty_set )
      | ~ ( relation @ X1 )
      | ( in @ ( ordered_pair @ ( sk_ @ X0 ) @ ( sk__3 @ ( sk_ @ X0 ) @ X1 ) ) @ X1 )
      | ( X0
       != ( relation_dom @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( X0
       != ( relation_dom @ empty_set ) )
      | ( in @ ( ordered_pair @ ( sk_ @ X0 ) @ ( sk__3 @ ( sk_ @ X0 ) @ empty_set ) ) @ empty_set )
      | ( X0 = empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl57]) ).

thf(zip_derived_cl60,plain,
    ( ( ( relation_dom @ empty_set )
      = empty_set )
    | ( in @ ( ordered_pair @ ( sk_ @ ( relation_dom @ empty_set ) ) @ ( sk__3 @ ( sk_ @ ( relation_dom @ empty_set ) ) @ empty_set ) ) @ empty_set ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl61,plain,
    ( ( ( relation_dom @ empty_set )
      = empty_set )
    | ( empty_set != empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl0]) ).

thf(zip_derived_cl68,plain,
    ( ( relation_dom @ empty_set )
    = empty_set ),
    inference(simplify,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl73,plain,
    ( ( empty_set != empty_set )
    | ( ( relation_rng @ empty_set )
     != empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl68]) ).

thf(zip_derived_cl74,plain,
    ( ( relation_rng @ empty_set )
   != empty_set ),
    inference(simplify,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl696,plain,
    in @ ( ordered_pair @ ( sk__6 @ ( sk_ @ ( relation_rng @ empty_set ) ) @ empty_set ) @ ( sk_ @ ( relation_rng @ empty_set ) ) ) @ empty_set,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl695,zip_derived_cl74]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl697,plain,
    empty_set != empty_set,
    inference('sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl0]) ).

thf(zip_derived_cl704,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl697]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU187+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DPIrjXiWdv true
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 13:46:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.83  % Solved by fo/fo4.sh.
% 1.31/0.83  % done 139 iterations in 0.076s
% 1.31/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.83  % SZS output start Refutation
% See solution above
% 1.31/0.83  
% 1.31/0.83  
% 1.31/0.83  % Terminating...
% 1.60/0.92  % Runner terminated.
% 1.60/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------