TSTP Solution File: LCL636+1.001 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL636+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.J5B5bluzrn true

% Computer : n008.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 09:00:27 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   8 unt;   8 typ;   0 def)
%            Number of atoms       :  154 (   0 equ;   0 cnn)
%            Maximal formula atoms :   69 (  11 avg)
%            Number of connectives :  455 ( 129   ~;  87   |;  54   &; 185   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  29   !;   2   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

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

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

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

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

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

thf(p102_type,type,
    p102: $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 ) )
              & ( ( ~ ! [Y: $i] :
                        ( ~ ( ~ ( p2 @ Y )
                            & ~ ( p102 @ Y )
                            & ( p101 @ Y ) )
                        | ~ ( r1 @ X @ Y ) )
                  & ~ ! [Y: $i] :
                        ( ~ ( ( p2 @ Y )
                            & ~ ( p102 @ Y )
                            & ( p101 @ Y ) )
                        | ~ ( r1 @ X @ Y ) ) )
                | ~ ( ~ ( p101 @ X )
                    & ( p100 @ X ) ) )
              & ( ( ( ! [Y: $i] :
                        ( ~ ( p101 @ Y )
                        | ~ ( p2 @ Y )
                        | ~ ( r1 @ X @ Y ) )
                    | ( p2 @ X ) )
                  & ( ! [Y: $i] :
                        ( ~ ( p101 @ Y )
                        | ( p2 @ Y )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( p2 @ X ) ) )
                | ~ ( p101 @ X ) )
              & ( ( ( ! [Y: $i] :
                        ( ~ ( p100 @ Y )
                        | ~ ( p1 @ Y )
                        | ~ ( r1 @ X @ Y ) )
                    | ( p1 @ X ) )
                  & ( ! [Y: $i] :
                        ( ~ ( p100 @ Y )
                        | ( p1 @ Y )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( p1 @ X ) ) )
                | ~ ( p100 @ X ) )
              & ( ( p101 @ X )
                | ~ ( p102 @ X ) )
              & ( ( p100 @ X )
                | ~ ( p101 @ X ) )
              & ~ ( 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 ) )
            & ( ( ~ ! [Y: $i] :
                      ( ~ ( ~ ( p2 @ Y )
                          & ~ ( p102 @ Y )
                          & ( p101 @ Y ) )
                      | ~ ( r1 @ X @ Y ) )
                & ~ ! [Y: $i] :
                      ( ~ ( ( p2 @ Y )
                          & ~ ( p102 @ Y )
                          & ( p101 @ Y ) )
                      | ~ ( r1 @ X @ Y ) ) )
              | ~ ( ~ ( p101 @ X )
                  & ( p100 @ X ) ) )
            & ( ( ( ! [Y: $i] :
                      ( ~ ( p101 @ Y )
                      | ~ ( p2 @ Y )
                      | ~ ( r1 @ X @ Y ) )
                  | ( p2 @ X ) )
                & ( ! [Y: $i] :
                      ( ~ ( p101 @ Y )
                      | ( p2 @ Y )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( p2 @ X ) ) )
              | ~ ( p101 @ X ) )
            & ( ( ( ! [Y: $i] :
                      ( ~ ( p100 @ Y )
                      | ~ ( p1 @ Y )
                      | ~ ( r1 @ X @ Y ) )
                  | ( p1 @ X ) )
                & ( ! [Y: $i] :
                      ( ~ ( p100 @ Y )
                      | ( p1 @ Y )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( p1 @ X ) ) )
              | ~ ( p100 @ X ) )
            & ( ( p101 @ X )
              | ~ ( p102 @ X ) )
            & ( ( p100 @ X )
              | ~ ( p101 @ X ) )
            & ~ ( p101 @ X )
            & ( p100 @ X ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl30,plain,
    ! [X9: $i] :
      ( ( p2 @ X9 )
      | ~ ( r1 @ sk_ @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ( ~ ( p2 @ sk__1 )
    | ~ ( p100 @ sk_ )
    | ( p101 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ~ ( p2 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl29,zip_derived_cl28]) ).

thf(zip_derived_cl34,plain,
    ~ ( r1 @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl33]) ).

thf(zip_derived_cl14,plain,
    ( ( r1 @ sk_ @ sk__1 )
    | ~ ( p100 @ sk_ )
    | ( p101 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29_001,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_002,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    r1 @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl29,zip_derived_cl28]) ).

thf(zip_derived_cl40,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl39]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.J5B5bluzrn true
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 07:23:33 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 31
% 0.21/0.75  % BCE eliminated: 6
% 0.21/0.75  % PE start: 25
% 0.21/0.75  logic: neq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 14 iterations in 0.013s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.41/0.86  % Runner terminated.
% 1.41/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------