TSTP Solution File: SYO005^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO005^1 : 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.k5IJJ4P6Zp true

% Computer : n021.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 05:49:10 EDT 2023

% Result   : Theorem 0.23s 0.76s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   21 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :   19 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   62 (   5   ~;   1   |;   0   &;  43   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   41 (  41   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (  15   ^;  20   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i > $o ).

thf(leibeq2_type,type,
    leibeq2: ( $i > $i ) > ( $i > $i ) > $o ).

thf(leibeq1_type,type,
    leibeq1: $i > $i > $o ).

thf(sk__4_type,type,
    sk__4: $i ).

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

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(leibeq2,axiom,
    ( leibeq2
    = ( ^ [X: $i > $i,Y: $i > $i] :
        ! [P: ( $i > $i ) > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ) ).

thf('0',plain,
    ( leibeq2
    = ( ^ [X: $i > $i,Y: $i > $i] :
        ! [P: ( $i > $i ) > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq2]) ).

thf('1',plain,
    ( leibeq2
    = ( ^ [V_1: $i > $i,V_2: $i > $i] :
        ! [X4: ( $i > $i ) > $o] :
          ( ( X4 @ V_1 )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(leibeq1,axiom,
    ( leibeq1
    = ( ^ [U: $i,V: $i] :
        ! [Q: $i > $o] :
          ( ( Q @ U )
         => ( Q @ V ) ) ) ) ).

thf('2',plain,
    ( leibeq1
    = ( ^ [U: $i,V: $i] :
        ! [Q: $i > $o] :
          ( ( Q @ U )
         => ( Q @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq1]) ).

thf('3',plain,
    ( leibeq1
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i > $o] :
          ( ( X4 @ V_1 )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ! [F: $i > $i,G: $i > $i] :
      ( ( leibeq2 @ F @ G )
     => ! [X: $i] : ( leibeq1 @ ( F @ X ) @ ( G @ X ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i,X6: $i > $i] :
      ( ! [X8: ( $i > $i ) > $o] :
          ( ( X8 @ X4 )
         => ( X8 @ X6 ) )
     => ! [X10: $i,X12: $i > $o] :
          ( ( X12 @ ( X4 @ X10 ) )
         => ( X12 @ ( X6 @ X10 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i,X6: $i > $i] :
        ( ! [X8: ( $i > $i ) > $o] :
            ( ( X8 @ X4 )
           => ( X8 @ X6 ) )
       => ! [X10: $i,X12: $i > $o] :
            ( ( X12 @ ( X4 @ X10 ) )
           => ( X12 @ ( X6 @ X10 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( $i > $i ) > $o] :
      ( ( X0 @ sk__3 )
      | ~ ( X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk__5 @ ( sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl48,plain,
    ~ ( ^ [Y0: $i > $i] :
          ( sk__5
          @ ( ^ [Y1: $i > $i] :
                ( Y1
                @ ( ^ [Y2: $i > $i] : sk__4
                  @ Y1 ) )
            @ Y0 ) )
      @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl56,plain,
    ~ ( sk__5 @ ( sk__2 @ sk__4 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl2,plain,
    sk__5 @ ( sk__2 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl57,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO005^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k5IJJ4P6Zp true
% 0.19/0.35  % Computer : n021.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Sat Aug 26 06:57:26 EDT 2023
% 0.22/0.36  % CPUTime  : 
% 0.22/0.36  % Running portfolio for 300 s
% 0.22/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36  % Number of cores: 8
% 0.22/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in HO mode
% 0.23/0.63  % Total configuration time : 828
% 0.23/0.63  % Estimated wc time : 1656
% 0.23/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.76  % Solved by lams/40_c.s.sh.
% 0.23/0.76  % done 2 iterations in 0.017s
% 0.23/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.76  % SZS output start Refutation
% See solution above
% 0.23/0.76  
% 0.23/0.76  
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.76  % Terminating...
% 1.59/0.85  % Runner terminated.
% 1.59/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------