TSTP Solution File: SYO020^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO020^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.imevQJLj48 true

% Computer : n014.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 : Fri Sep  1 05:49:14 EDT 2023

% Result   : Theorem 0.17s 0.73s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   88 (   3 equ;  24 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  147 (  44   ~;  15   |;  11   &;  62   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   4 usr;   6 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   23 (  12   ^;  11   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $o ).

thf(leibeq_type,type,
    leibeq: $o > $o > $o ).

thf('#sk3_type',type,
    '#sk3': $o > $o ).

thf('#sk2_type',type,
    '#sk2': $o ).

thf(leibeq,axiom,
    ( leibeq
    = ( ^ [X: $o,Y: $o] :
        ! [P: $o > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ) ).

thf('0',plain,
    ( leibeq
    = ( ^ [X: $o,Y: $o] :
        ! [P: $o > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq]) ).

thf('1',plain,
    ( leibeq
    = ( ^ [V_1: $o,V_2: $o] :
        ! [X4: $o > $o] :
          ( ( X4 @ V_1 )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ! [X: $o,Y: $o] :
      ( leibeq
      @ ( X
        & Y )
      @ ~ ( ~ X
          | ~ Y ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $o,X6: $o,X8: $o > $o] :
      ( ( X8
        @ ( X6
          & X4 ) )
     => ( X8
        @ ~ ( ~ X6
            | ~ X4 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $o,X6: $o,X8: $o > $o] :
        ( ( X8
          @ ( X6
            & X4 ) )
       => ( X8
          @ ~ ( ~ X6
              | ~ X4 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o] :
              ( !!
              @ ^ [Y2: $o > $o] :
                  ( ( Y2
                    @ ( Y1
                      & Y0 ) )
                 => ( Y2
                    @ ( (~)
                      @ ( ( (~) @ Y1 )
                        | ( (~) @ Y0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o > $o] :
              ( ( Y1
                @ ( Y0
                  & '#sk1' ) )
             => ( Y1
                @ ( (~)
                  @ ( ( (~) @ Y0 )
                    | ( (~) @ '#sk1' ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $o > $o] :
          ( ( Y0
            @ ( '#sk2'
              & '#sk1' ) )
         => ( Y0
            @ ( (~)
              @ ( ( (~) @ '#sk2' )
                | ( (~) @ '#sk1' ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( '#sk3'
        @ ( '#sk2'
          & '#sk1' ) )
     => ( '#sk3'
        @ ( (~)
          @ ( ( (~) @ '#sk2' )
            | ( (~) @ '#sk1' ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ~ ( '#sk3'
      @ ( (~)
        @ ( ( (~) @ '#sk2' )
          | ( (~) @ '#sk1' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5_001,plain,
    ~ ( '#sk3'
      @ ( (~)
        @ ( ( (~) @ '#sk2' )
          | ( (~) @ '#sk1' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( '#sk2'
    | ~ ( '#sk3'
        @ ( (~)
          @ ( ( (~) @ $false )
            | ( (~) @ '#sk1' ) ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ( '#sk2'
    | ~ ( '#sk3' @ $false ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl4,plain,
    ( '#sk3'
    @ ( '#sk2'
      & '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( '#sk2'
    | ( '#sk3'
      @ ( $false
        & '#sk1' ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ( '#sk2'
    | ( '#sk3' @ $false ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    '#sk2',
    inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).

thf(zip_derived_cl15,plain,
    ~ ( '#sk3'
      @ ( (~)
        @ ( ( (~) @ $true )
          | ( (~) @ '#sk1' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).

thf(zip_derived_cl16,plain,
    ~ ( '#sk3' @ '#sk1' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl4_002,plain,
    ( '#sk3'
    @ ( '#sk2'
      & '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl12_003,plain,
    '#sk2',
    inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ( '#sk3'
    @ ( $true
      & '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    '#sk3' @ '#sk1',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYO020^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.imevQJLj48 true
% 0.12/0.32  % Computer : n014.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sat Aug 26 07:23:47 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.32  % Python version: Python 3.6.8
% 0.12/0.32  % Running in HO mode
% 0.17/0.60  % Total configuration time : 828
% 0.17/0.60  % Estimated wc time : 1656
% 0.17/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.72  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.17/0.73  % Solved by lams/35_full_unif4.sh.
% 0.17/0.73  % done 6 iterations in 0.013s
% 0.17/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.73  % SZS output start Refutation
% See solution above
% 0.17/0.73  
% 0.17/0.73  
% 0.17/0.73  % Terminating...
% 1.06/0.80  % Runner terminated.
% 1.06/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------