TSTP Solution File: LCL469+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MnHzuYlmte true

% Computer : n013.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 08:59:52 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   35 (  16 unt;  11 typ;   0 def)
%            Number of atoms       :   32 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   97 (   7   ~;   4   |;   0   &;  82   @)
%                                         (   2 <=>;   2  =>;   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     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cn2_type,type,
    cn2: $o ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(sk__19_type,type,
    sk__19: $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(op_implies_and_type,type,
    op_implies_and: $o ).

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

thf(or_1_type,type,
    or_1: $o ).

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

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

thf(or_1,axiom,
    ( or_1
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( or @ X @ Y ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ( or_1
    | ~ ( is_a_theorem @ ( implies @ sk__19 @ ( or @ sk__19 @ sk__20 ) ) ) ),
    inference(cnf,[status(esa)],[or_1]) ).

thf(hilbert_or_1,conjecture,
    or_1 ).

thf(zf_stmt_0,negated_conjecture,
    ~ or_1,
    inference('cnf.neg',[status(esa)],[hilbert_or_1]) ).

thf(zip_derived_cl71,plain,
    ~ or_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl349,plain,
    ~ ( is_a_theorem @ ( implies @ sk__19 @ ( or @ sk__19 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl71]) ).

thf(luka_cn2,axiom,
    cn2 ).

thf(zip_derived_cl65,plain,
    cn2,
    inference(cnf,[status(esa)],[luka_cn2]) ).

thf(cn2,axiom,
    ( cn2
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ P @ ( implies @ ( not @ P ) @ Q ) ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) )
      | ~ cn2 ),
    inference(cnf,[status(esa)],[cn2]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl41]) ).

thf(luka_op_or,axiom,
    op_or ).

thf(zip_derived_cl60,plain,
    op_or,
    inference(cnf,[status(esa)],[luka_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_cl343,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(hilbert_op_implies_and,axiom,
    op_implies_and ).

thf(zip_derived_cl69,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_cl322,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl386,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).

thf(zip_derived_cl394,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl386]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MnHzuYlmte true
% 0.13/0.34  % Computer : n013.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 : Fri Aug 25 03:49:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.20/0.59  % Total configuration time : 435
% 0.20/0.59  % Estimated wc time : 1092
% 0.20/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % Solved by fo/fo6_bce.sh.
% 0.20/0.73  % BCE start: 72
% 0.20/0.73  % BCE eliminated: 3
% 0.20/0.73  % PE start: 69
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 39
% 0.20/0.73  % done 18 iterations in 0.028s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 0.20/0.81  % Runner terminated.
% 0.20/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------