%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU307+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.2n1ysPOn2A 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 19:12:01 EDT 2023

% Result   : Theorem 1.37s 0.83s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   35 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   43 (  15 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  151 (  14   ~;   9   |;   1   &; 119   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subset_type,type,
    subset: $i > $i > $o ).

thf(subset_intersection2_type,type,
    subset_intersection2: $i > $i > $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(one_sorted_str_type,type,
    one_sorted_str: $i > $o ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(cast_as_carrier_subset_type,type,
    cast_as_carrier_subset: $i > $i ).

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(redefinition_k5_subset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( element @ B @ ( powerset @ A ) )
        & ( element @ C @ ( powerset @ A ) ) )
     => ( ( subset_intersection2 @ A @ B @ C )
        = ( set_intersection2 @ B @ C ) ) ) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( element @ X2 @ ( powerset @ X1 ) )
      | ( ( subset_intersection2 @ X1 @ X0 @ X2 )
        = ( set_intersection2 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k5_subset_1]) ).

thf(t15_pre_topc,conjecture,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
         => ( ( subset_intersection2 @ ( the_carrier @ A ) @ B @ ( cast_as_carrier_subset @ A ) )
            = B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( one_sorted_str @ A )
       => ! [B: $i] :
            ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
           => ( ( subset_intersection2 @ ( the_carrier @ A ) @ B @ ( cast_as_carrier_subset @ A ) )
              = B ) ) ),
    inference('cnf.neg',[status(esa)],[t15_pre_topc]) ).

thf(zip_derived_cl115,plain,
    ( ( subset_intersection2 @ ( the_carrier @ sk__5 ) @ sk__6 @ ( cast_as_carrier_subset @ sk__5 ) )
   != sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    one_sorted_str @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_pre_topc,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( ( cast_as_carrier_subset @ A )
        = ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ( ( cast_as_carrier_subset @ X0 )
        = ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[d3_pre_topc]) ).

thf(zip_derived_cl490,plain,
    ( ( cast_as_carrier_subset @ sk__5 )
    = ( the_carrier @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl113]) ).

thf(zip_derived_cl496,plain,
    ( ( subset_intersection2 @ ( the_carrier @ sk__5 ) @ sk__6 @ ( the_carrier @ sk__5 ) )
   != sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl490]) ).

thf(zip_derived_cl1047,plain,
    ( ~ ( element @ ( the_carrier @ sk__5 ) @ ( powerset @ ( the_carrier @ sk__5 ) ) )
    | ~ ( element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ) )
    | ( ( set_intersection2 @ sk__6 @ ( the_carrier @ sk__5 ) )
     != sk__6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl496]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl491,plain,
    ! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl99,zip_derived_cl112]) ).

thf(zip_derived_cl116,plain,
    element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116_001,plain,
    element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(t28_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( ( set_intersection2 @ A @ B )
        = A ) ) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X0 @ X1 )
        = X0 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t28_xboole_1]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( powerset @ X0 ) )
      | ( ( set_intersection2 @ X1 @ X0 )
        = X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl111,zip_derived_cl117]) ).

thf(zip_derived_cl803,plain,
    ( ( set_intersection2 @ sk__6 @ ( the_carrier @ sk__5 ) )
    = sk__6 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl494]) ).

thf(zip_derived_cl1052,plain,
    sk__6 != sk__6,
    inference(demod,[status(thm)],[zip_derived_cl1047,zip_derived_cl491,zip_derived_cl116,zip_derived_cl803]) ).

thf(zip_derived_cl1053,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1052]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU307+1 : 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.2n1ysPOn2A true
% 0.13/0.34  % Computer : n012.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 : Wed Aug 23 16:01:57 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 FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /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
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.83  % Solved by fo/fo6_bce.sh.
% 1.37/0.83  % BCE start: 118
% 1.37/0.83  % BCE eliminated: 15
% 1.37/0.83  % PE start: 103
% 1.37/0.83  logic: eq
% 1.37/0.83  % PE eliminated: 1
% 1.37/0.83  % done 219 iterations in 0.101s
% 1.37/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.83  % SZS output start Refutation
% See solution above
% 1.37/0.83  
% 1.37/0.83  
% 1.37/0.83  % Terminating...
% 1.66/0.95  % Runner terminated.
% 1.66/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------