%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET764^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RduAg4PY5Q true

% Computer : n018.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 16:15:53 EDT 2023

% Result   : Theorem 0.20s 0.78s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   12 (  10 unt;   2 typ;   0 def)
%            Number of atoms       :   25 (  10 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   14 (   3   ~;   0   |;   3   &;   8   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-3 aty)
%            Number of variables   :   22 (  12   ^;   5   !;   5   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(fun_inv_image_type,type,
    fun_inv_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).

thf(emptyset_type,type,
    emptyset: $i > $o ).

thf(fun_inv_image,axiom,
    ( fun_inv_image
    = ( ^ [F: $i > $i,B: $i > $o,X: $i] :
        ? [Y: $i] :
          ( ( Y
            = ( F @ X ) )
          & ( B @ Y ) ) ) ) ).

thf('0',plain,
    ( fun_inv_image
    = ( ^ [F: $i > $i,B: $i > $o,X: $i] :
        ? [Y: $i] :
          ( ( Y
            = ( F @ X ) )
          & ( B @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[fun_inv_image]) ).

thf('1',plain,
    ( fun_inv_image
    = ( ^ [V_1: $i > $i,V_2: $i > $o,V_3: $i] :
        ? [X4: $i] :
          ( ( X4
            = ( V_1 @ V_3 ) )
          & ( V_2 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(emptyset,axiom,
    ( emptyset
    = ( ^ [X: $i] : $false ) ) ).

thf('2',plain,
    ( emptyset
    = ( ^ [X: $i] : $false ) ),
    inference(simplify_rw_rule,[status(thm)],[emptyset]) ).

thf('3',plain,
    ( emptyset
    = ( ^ [V_1: $i] : $false ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [F: $i > $i] :
      ( ( fun_inv_image @ F @ emptyset )
      = emptyset ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i,V_2: $i] :
      ~ ? [X6: $i] : $false ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i,V_2: $i] :
        ~ ? [X6: $i] : $false,
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    $false,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET764^4 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RduAg4PY5Q true
% 0.13/0.34  % Computer : n018.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
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 13:04:30 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % 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 HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78  % Solved by lams/40_c.s.sh.
% 0.20/0.78  % done 0 iterations in 0.012s
% 0.20/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78  % SZS output start Refutation
% See solution above
% 0.20/0.78  
% 0.20/0.78  
% 0.20/0.78  % Terminating...
% 1.68/0.87  % Runner terminated.
% 1.68/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------