TSTP Solution File: LCL656+1.001 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL656+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SExs2J5499 true

% Computer : n028.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 09:01:10 EDT 2023

% Result   : Theorem 0.19s 0.71s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :  103 (   0 equ;   0 cnn)
%            Maximal formula atoms :   37 (   6 avg)
%            Number of connectives :  304 (  83   ~;  58   |;  28   &; 135   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  23   !;   2   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(p102_type,type,
    p102: $i > $o ).

thf(p1_type,type,
    p1: $i > $o ).

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p101_type,type,
    p101: $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(p100_type,type,
    p100: $i > $o ).

thf(p2_type,type,
    p2: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ( p2 @ Y )
                | ~ ( r1 @ X @ Y ) )
          | ~ ( ! [Y: $i] :
                  ( ( ( ~ ( p101 @ Y )
                      | ( p100 @ Y ) )
                    & ( ~ ( p102 @ Y )
                      | ( p101 @ Y ) )
                    & ( ~ ( p100 @ Y )
                      | ( ( ~ ( p1 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p100 @ X )
                              | ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p1 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p100 @ X )
                              | ~ ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( p101 @ Y )
                      | ( ( ~ ( p2 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p101 @ X )
                              | ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p2 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p101 @ X )
                              | ~ ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( ~ ( p101 @ Y )
                          & ( p100 @ Y ) )
                      | ( ~ ! [X: $i] :
                              ( ~ ( ( p2 @ X )
                                  & ~ ( p102 @ X )
                                  & ( p101 @ X ) )
                              | ~ ( r1 @ Y @ X ) )
                        & ~ ! [X: $i] :
                              ( ~ ( ~ ( p2 @ X )
                                  & ~ ( p102 @ X )
                                  & ( p101 @ X ) )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                  | ~ ( r1 @ X @ Y ) )
              & ~ ( p101 @ X )
              & ( p100 @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ( p2 @ Y )
              | ~ ( r1 @ X @ Y ) )
        | ~ ( ! [Y: $i] :
                ( ( ( ~ ( p101 @ Y )
                    | ( p100 @ Y ) )
                  & ( ~ ( p102 @ Y )
                    | ( p101 @ Y ) )
                  & ( ~ ( p100 @ Y )
                    | ( ( ~ ( p1 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p100 @ X )
                            | ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p1 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p100 @ X )
                            | ~ ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( p101 @ Y )
                    | ( ( ~ ( p2 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p101 @ X )
                            | ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p2 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p101 @ X )
                            | ~ ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( ~ ( p101 @ Y )
                        & ( p100 @ Y ) )
                    | ( ~ ! [X: $i] :
                            ( ~ ( ( p2 @ X )
                                & ~ ( p102 @ X )
                                & ( p101 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                      & ~ ! [X: $i] :
                            ( ~ ( ~ ( p2 @ X )
                                & ~ ( p102 @ X )
                                & ( p101 @ X ) )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                | ~ ( r1 @ X @ Y ) )
            & ~ ( p101 @ X )
            & ( p100 @ X ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__2 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reflexivity,axiom,
    ! [X: $i] : ( r1 @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl17,plain,
    ! [X5: $i] :
      ( ( p2 @ X5 )
      | ~ ( r1 @ sk_ @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ~ ( p2 @ ( sk__2 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ ( sk__2 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ( ~ ( r1 @ sk_ @ ( sk__2 @ sk_ ) )
    | ( p101 @ sk_ )
    | ~ ( p100 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl15,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ~ ( r1 @ sk_ @ ( sk__2 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl56,plain,
    ( ~ ( r1 @ sk_ @ sk_ )
    | ~ ( p100 @ sk_ )
    | ( p101 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl20]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl16_002,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_003,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl0,zip_derived_cl16,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL656+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SExs2J5499 true
% 0.12/0.33  % Computer : n028.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 20:47:50 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.19/0.61  % Total configuration time : 435
% 0.19/0.61  % Estimated wc time : 1092
% 0.19/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71  % Solved by fo/fo6_bce.sh.
% 0.19/0.71  % BCE start: 18
% 0.19/0.71  % BCE eliminated: 3
% 0.19/0.71  % PE start: 15
% 0.19/0.71  logic: neq
% 0.19/0.71  % PE eliminated: 0
% 0.19/0.71  % done 21 iterations in 0.018s
% 0.19/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.71  % SZS output start Refutation
% See solution above
% 0.19/0.71  
% 0.19/0.71  
% 0.19/0.71  % Terminating...
% 1.34/0.82  % Runner terminated.
% 1.34/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------