%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL538+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.t385GynzLe true

% Computer : n008.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 09:00:07 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   44 (  19 unt;  10 typ;   0 def)
%            Number of atoms       :   57 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  118 (  18   ~;  15   |;   2   &;  77   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(modus_ponens_strict_implies_type,type,
    modus_ponens_strict_implies: $o ).

thf(axiom_M_type,type,
    axiom_M: $o ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(necessarily_type,type,
    necessarily: $i > $i ).

thf(sk__57_type,type,
    sk__57: $i ).

thf(strict_implies_type,type,
    strict_implies: $i > $i > $i ).

thf(op_strict_implies_type,type,
    op_strict_implies: $o ).

thf(sk__56_type,type,
    sk__56: $i ).

thf(modus_ponens_type,type,
    modus_ponens: $o ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(modus_ponens_strict_implies,axiom,
    ( modus_ponens_strict_implies
  <=> ! [X: $i,Y: $i] :
        ( ( ( is_a_theorem @ X )
          & ( is_a_theorem @ ( strict_implies @ X @ Y ) ) )
       => ( is_a_theorem @ Y ) ) ) ).

thf(zip_derived_cl84,plain,
    ( modus_ponens_strict_implies
    | ~ ( is_a_theorem @ sk__57 ) ),
    inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).

thf(s1_0_modus_ponens_strict_implies,conjecture,
    modus_ponens_strict_implies ).

thf(zf_stmt_0,negated_conjecture,
    ~ modus_ponens_strict_implies,
    inference('cnf.neg',[status(esa)],[s1_0_modus_ponens_strict_implies]) ).

thf(zip_derived_cl146,plain,
    ~ modus_ponens_strict_implies,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl720,plain,
    ~ ( is_a_theorem @ sk__57 ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl146]) ).

thf(zip_derived_cl83,plain,
    ( modus_ponens_strict_implies
    | ( is_a_theorem @ ( strict_implies @ sk__56 @ sk__57 ) ) ),
    inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).

thf(zip_derived_cl146_001,plain,
    ~ modus_ponens_strict_implies,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl723,plain,
    is_a_theorem @ ( strict_implies @ sk__56 @ sk__57 ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl146]) ).

thf(s1_0_op_strict_implies,axiom,
    op_strict_implies ).

thf(zip_derived_cl143,plain,
    op_strict_implies,
    inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).

thf(op_strict_implies,axiom,
    ( op_strict_implies
   => ! [X: $i,Y: $i] :
        ( ( strict_implies @ X @ Y )
        = ( necessarily @ ( implies @ X @ Y ) ) ) ) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( strict_implies @ X0 @ X1 )
        = ( necessarily @ ( implies @ X0 @ X1 ) ) )
      | ~ op_strict_implies ),
    inference(cnf,[status(esa)],[op_strict_implies]) ).

thf(zip_derived_cl658,plain,
    ! [X0: $i,X1: $i] :
      ( ( strict_implies @ X1 @ X0 )
      = ( necessarily @ ( implies @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl143,zip_derived_cl132]) ).

thf(km4b_axiom_M,axiom,
    axiom_M ).

thf(zip_derived_cl137,plain,
    axiom_M,
    inference(cnf,[status(esa)],[km4b_axiom_M]) ).

thf(axiom_M,axiom,
    ( axiom_M
  <=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X ) @ X ) ) ) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i] :
      ( ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) )
      | ~ axiom_M ),
    inference(cnf,[status(esa)],[axiom_M]) ).

thf(zip_derived_cl689,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl137,zip_derived_cl94]) ).

thf(hilbert_modus_ponens,axiom,
    modus_ponens ).

thf(zip_derived_cl63,plain,
    modus_ponens,
    inference(cnf,[status(esa)],[hilbert_modus_ponens]) ).

thf(modus_ponens,axiom,
    ( modus_ponens
  <=> ! [X: $i,Y: $i] :
        ( ( ( is_a_theorem @ X )
          & ( is_a_theorem @ ( implies @ X @ Y ) ) )
       => ( is_a_theorem @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 )
      | ~ modus_ponens ),
    inference(cnf,[status(esa)],[modus_ponens]) ).

thf(zip_derived_cl713,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl737,plain,
    ! [X0: $i] :
      ( ~ ( is_a_theorem @ ( necessarily @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl713]) ).

thf(zip_derived_cl739,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl737]) ).

thf(zip_derived_cl740,plain,
    is_a_theorem @ ( implies @ sk__56 @ sk__57 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl739]) ).

thf(zip_derived_cl713_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl741,plain,
    ( ~ ( is_a_theorem @ sk__56 )
    | ( is_a_theorem @ sk__57 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl713]) ).

thf(zip_derived_cl82,plain,
    ( modus_ponens_strict_implies
    | ( is_a_theorem @ sk__56 ) ),
    inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).

thf(zip_derived_cl146_003,plain,
    ~ modus_ponens_strict_implies,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl721,plain,
    is_a_theorem @ sk__56,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl146]) ).

thf(zip_derived_cl742,plain,
    is_a_theorem @ sk__57,
    inference(demod,[status(thm)],[zip_derived_cl741,zip_derived_cl721]) ).

thf(zip_derived_cl745,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl720,zip_derived_cl742]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL538+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t385GynzLe true
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 06:54:47 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.21/0.71  % /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
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78  % Solved by fo/fo6_bce.sh.
% 0.21/0.78  % BCE start: 147
% 0.21/0.78  % BCE eliminated: 4
% 0.21/0.78  % PE start: 143
% 0.21/0.78  logic: eq
% 0.21/0.78  % PE eliminated: 81
% 0.21/0.78  % done 20 iterations in 0.036s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 1.44/0.85  % Runner terminated.
% 1.44/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------