%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL455+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.8OyJ1Jb1ml true

% Computer : n032.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 08:59:48 EDT 2023

% Result   : Theorem 0.17s 0.64s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   50 (  25 unt;  13 typ;   0 def)
%            Number of atoms       :   49 (  15 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  166 (  11   ~;   6   |;   0   &; 143   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(op_or_type,type,
    op_or: $o ).

thf(op_and_type,type,
    op_and: $o ).

thf(and_type,type,
    and: $i > $i > $i ).

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

thf(r2_type,type,
    r2: $o ).

thf(sk__45_type,type,
    sk__45: $i ).

thf(implies_1_type,type,
    implies_1: $o ).

thf(op_implies_and_type,type,
    op_implies_and: $o ).

thf(or_type,type,
    or: $i > $i > $i ).

thf(op_implies_or_type,type,
    op_implies_or: $o ).

thf(sk__46_type,type,
    sk__46: $i ).

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

thf(not_type,type,
    not: $i > $i ).

thf(r2,axiom,
    ( r2
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ( r2
    | ~ ( is_a_theorem @ ( implies @ sk__46 @ ( or @ sk__45 @ sk__46 ) ) ) ),
    inference(cnf,[status(esa)],[r2]) ).

thf(principia_r2,conjecture,
    r2 ).

thf(zf_stmt_0,negated_conjecture,
    ~ r2,
    inference('cnf.neg',[status(esa)],[principia_r2]) ).

thf(zip_derived_cl81,plain,
    ~ r2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl387,plain,
    ~ ( is_a_theorem @ ( implies @ sk__46 @ ( or @ sk__45 @ sk__46 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl81]) ).

thf(hilbert_op_or,axiom,
    op_or ).

thf(zip_derived_cl60,plain,
    op_or,
    inference(cnf,[status(esa)],[hilbert_op_or]) ).

thf(op_or,axiom,
    ( op_or
   => ! [X: $i,Y: $i] :
        ( ( or @ X @ Y )
        = ( not @ ( and @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( or @ X0 @ X1 )
        = ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
      | ~ op_or ),
    inference(cnf,[status(esa)],[op_or]) ).

thf(zip_derived_cl358,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).

thf(zip_derived_cl392,plain,
    ~ ( is_a_theorem @ ( implies @ sk__46 @ ( not @ ( and @ ( not @ sk__45 ) @ ( not @ sk__46 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl358]) ).

thf(principia_op_and,axiom,
    op_and ).

thf(zip_derived_cl79,plain,
    op_and,
    inference(cnf,[status(esa)],[principia_op_and]) ).

thf(op_and,axiom,
    ( op_and
   => ! [X: $i,Y: $i] :
        ( ( and @ X @ Y )
        = ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( and @ X0 @ X1 )
        = ( not @ ( or @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
      | ~ op_and ),
    inference(cnf,[status(esa)],[op_and]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( or @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl56]) ).

thf(principia_op_implies_or,axiom,
    op_implies_or ).

thf(zip_derived_cl78,plain,
    op_implies_or,
    inference(cnf,[status(esa)],[principia_op_implies_or]) ).

thf(op_implies_or,axiom,
    ( op_implies_or
   => ! [X: $i,Y: $i] :
        ( ( implies @ X @ Y )
        = ( or @ ( not @ X ) @ Y ) ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( implies @ X0 @ X1 )
        = ( or @ ( not @ X0 ) @ X1 ) )
      | ~ op_implies_or ),
    inference(cnf,[status(esa)],[op_implies_or]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl58]) ).

thf(zip_derived_cl402,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl361]) ).

thf(zip_derived_cl406,plain,
    ~ ( is_a_theorem @ ( implies @ sk__46 @ ( not @ ( not @ ( implies @ ( not @ sk__45 ) @ ( not @ ( not @ sk__46 ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl402]) ).

thf(hilbert_op_implies_and,axiom,
    op_implies_and ).

thf(zip_derived_cl61,plain,
    op_implies_and,
    inference(cnf,[status(esa)],[hilbert_op_implies_and]) ).

thf(op_implies_and,axiom,
    ( op_implies_and
   => ! [X: $i,Y: $i] :
        ( ( implies @ X @ Y )
        = ( not @ ( and @ X @ ( not @ Y ) ) ) ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( implies @ X0 @ X1 )
        = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) )
      | ~ op_implies_and ),
    inference(cnf,[status(esa)],[op_implies_and]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).

thf(zip_derived_cl402_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl361]) ).

thf(zip_derived_cl418,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( not @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl402]) ).

thf(hilbert_implies_1,axiom,
    implies_1 ).

thf(zip_derived_cl65,plain,
    implies_1,
    inference(cnf,[status(esa)],[hilbert_implies_1]) ).

thf(implies_1,axiom,
    ( implies_1
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) )
      | ~ implies_1 ),
    inference(cnf,[status(esa)],[implies_1]) ).

thf(zip_derived_cl374,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl9]) ).

thf(zip_derived_cl419,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl418,zip_derived_cl374]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL455+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8OyJ1Jb1ml true
% 0.13/0.31  % Computer : n032.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit : 300
% 0.13/0.31  % WCLimit  : 300
% 0.13/0.31  % DateTime : Thu Aug 24 18:50:57 EDT 2023
% 0.13/0.31  % CPUTime  : 
% 0.13/0.31  % Running portfolio for 300 s
% 0.13/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.32  % Number of cores: 8
% 0.13/0.32  % Python version: Python 3.6.8
% 0.13/0.32  % Running in FO mode
% 0.17/0.55  % Total configuration time : 435
% 0.17/0.55  % Estimated wc time : 1092
% 0.17/0.55  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.61  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.62  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.62  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.62  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.64  % Solved by fo/fo3_bce.sh.
% 0.17/0.64  % BCE start: 82
% 0.17/0.64  % BCE eliminated: 0
% 0.17/0.64  % PE start: 82
% 0.17/0.64  logic: eq
% 0.17/0.64  % PE eliminated: 50
% 0.17/0.64  % done 22 iterations in 0.024s
% 0.17/0.64  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.64  % SZS output start Refutation
% See solution above
% 0.17/0.64  
% 0.17/0.64  
% 0.17/0.64  % Terminating...
% 0.17/0.76  % Runner terminated.
% 0.17/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------