TSTP Solution File: LCL682+1.001 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL682+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.4FVr0XWr3z true

% Computer : n001.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 09:01:30 EDT 2023

% Result   : Theorem 0.21s 0.72s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (   5 unt;  10 typ;   0 def)
%            Number of atoms       :   52 (   0 equ;   0 cnn)
%            Maximal formula atoms :   21 (   5 avg)
%            Number of connectives :  174 (  47   ~;  43   |;   0   &;  84   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  29   !;   2   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

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

thf(p13_type,type,
    p13: $i > $o ).

thf(p11_type,type,
    p11: $i > $o ).

thf(p14_type,type,
    p14: $i > $o ).

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(p16_type,type,
    p16: $i > $o ).

thf(p12_type,type,
    p12: $i > $o ).

thf(p15_type,type,
    p15: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ( p16 @ X )
                          | ~ ( r1 @ Y @ X ) )
                    | ~ ! [X: $i] :
                          ( ( p12 @ X )
                          | ~ ( r1 @ Y @ X ) )
                    | ~ ! [X: $i] :
                          ( ( p14 @ X )
                          | ~ ( r1 @ Y @ X ) )
                    | ~ ! [X: $i] :
                          ( ( p12 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ( p15 @ X )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ( p13 @ X )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ( p12 @ X )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ( p11 @ X )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ( p16 @ X )
                        | ~ ( r1 @ Y @ X ) )
                  | ~ ! [X: $i] :
                        ( ( p12 @ X )
                        | ~ ( r1 @ Y @ X ) )
                  | ~ ! [X: $i] :
                        ( ( p14 @ X )
                        | ~ ( r1 @ Y @ X ) )
                  | ~ ! [X: $i] :
                        ( ( p12 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ( p15 @ X )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ( p13 @ X )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ( p12 @ X )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ( p11 @ X )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl7,plain,
    r1 @ sk_ @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X2: $i] :
      ( ~ ( r1 @ X0 @ X2 )
      | ( p12 @ X2 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ~ ( p12 @ sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X0 @ sk__6 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).

thf(zip_derived_cl31,plain,
    ~ ( r1 @ sk__5 @ sk__6 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl18]) ).

thf(zip_derived_cl5,plain,
    r1 @ sk__5 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL682+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4FVr0XWr3z true
% 0.16/0.34  % Computer : n001.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Thu Aug 24 19:33:42 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % 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
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % Solved by fo/fo6_bce.sh.
% 0.21/0.72  % BCE start: 18
% 0.21/0.72  % BCE eliminated: 5
% 0.21/0.72  % PE start: 13
% 0.21/0.72  logic: neq
% 0.21/0.72  % PE eliminated: 1
% 0.21/0.72  % done 11 iterations in 0.008s
% 0.21/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.72  % SZS output start Refutation
% See solution above
% 0.21/0.72  
% 0.21/0.72  
% 0.21/0.72  % Terminating...
% 0.21/0.75  % Runner terminated.
% 0.21/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------