TSTP Solution File: LCL483+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL483+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.fobse7g4LJ true

% Computer : n023.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 08:59:54 EDT 2023

% Result   : Theorem 0.51s 0.72s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   42 (  20 unt;  12 typ;   0 def)
%            Number of atoms       :   40 (  10 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  142 (   9   ~;   5   |;   0   &; 123   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  30   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(op_or_type,type,
    op_or: $o ).

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

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

thf(modus_tollens_type,type,
    modus_tollens: $o ).

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

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

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

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

thf(r3_type,type,
    r3: $o ).

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

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

thf(modus_tollens,axiom,
    ( modus_tollens
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ Y ) @ ( not @ X ) ) @ ( implies @ X @ Y ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ( modus_tollens
    | ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__5 ) @ ( not @ sk__4 ) ) @ ( implies @ sk__4 @ sk__5 ) ) ) ),
    inference(cnf,[status(esa)],[modus_tollens]) ).

thf(hilbert_modus_tollens,conjecture,
    modus_tollens ).

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

thf(zip_derived_cl73,plain,
    ~ modus_tollens,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__5 ) @ ( not @ sk__4 ) ) @ ( implies @ sk__4 @ sk__5 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl73]) ).

thf(hilbert_op_implies_and,axiom,
    op_implies_and ).

thf(zip_derived_cl71,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_cl336,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).

thf(hilbert_op_or,axiom,
    op_or ).

thf(zip_derived_cl70,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_cl334,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl336,zip_derived_cl334]) ).

thf(zip_derived_cl419,plain,
    ~ ( is_a_theorem @ ( implies @ ( or @ sk__5 @ ( not @ sk__4 ) ) @ ( implies @ sk__4 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl393]) ).

thf(principia_op_implies_or,axiom,
    op_implies_or ).

thf(zip_derived_cl60,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_cl337,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(principia_r3,axiom,
    r3 ).

thf(zip_derived_cl66,plain,
    r3,
    inference(cnf,[status(esa)],[principia_r3]) ).

thf(r3,axiom,
    ( r3
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) )
      | ~ r3 ),
    inference(cnf,[status(esa)],[r3]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).

thf(zip_derived_cl408,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl359]) ).

thf(zip_derived_cl449,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl419,zip_derived_cl408]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL483+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fobse7g4LJ true
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Aug 24 19:18:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.51/0.63  % Total configuration time : 435
% 0.51/0.63  % Estimated wc time : 1092
% 0.51/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72  % Solved by fo/fo6_bce.sh.
% 0.51/0.72  % BCE start: 74
% 0.51/0.72  % BCE eliminated: 0
% 0.51/0.72  % PE start: 74
% 0.51/0.72  logic: eq
% 0.51/0.72  % PE eliminated: 42
% 0.51/0.72  % done 37 iterations in 0.033s
% 0.51/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.72  % SZS output start Refutation
% See solution above
% 0.51/0.72  
% 0.51/0.72  
% 0.51/0.72  % Terminating...
% 0.58/0.83  % Runner terminated.
% 1.56/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------