TSTP Solution File: SYO018^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO018^1 : 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.m6PqHWhuUk true

% Computer : n004.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 05:49:13 EDT 2023

% Result   : Theorem 0.22s 0.80s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   83 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  115 (   9   ~;   4   |;  16   &;  82   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   6   ^;   0   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $o > $i > $i ).

thf(a_type,type,
    a: ( $i > $i ) > $o ).

thf(b_type,type,
    b: $o ).

thf(p_type,type,
    p: ( $i > $i ) > $o ).

thf(conj,conjecture,
    ( ( p
      @ ^ [X: $i] :
          ( f
          @ ( b
            & ( a
              @ ^ [X: $i] : ( f @ b @ X ) ) )
          @ X ) )
   => ( p
      @ ( f
        @ ( ( a @ ( f @ b ) )
          & b ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( p
        @ ^ [X: $i] :
            ( f
            @ ( b
              & ( a
                @ ^ [X: $i] : ( f @ b @ X ) ) )
            @ X ) )
     => ( p
        @ ( f
          @ ( ( a @ ( f @ b ) )
            & b ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( p
        @ ^ [Y0: $i] :
            ( f
            @ ( b
              & ( a
                @ ^ [Y1: $i] : ( f @ b @ Y1 ) ) )
            @ Y0 ) )
     => ( p
        @ ( f
          @ ( ( a @ ( f @ b ) )
            & b ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( p
        @ ( f
          @ ( b
            & ( a @ ( f @ b ) ) ) ) )
     => ( p
        @ ( f
          @ ( ( a @ ( f @ b ) )
            & b ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( p
      @ ( f
        @ ( ( a @ ( f @ b ) )
          & b ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3_001,plain,
    ~ ( p
      @ ( f
        @ ( ( a @ ( f @ b ) )
          & b ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ( b
    | ~ ( p
        @ ( f
          @ ( ( a @ ( f @ $false ) )
            & $false ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( b
    | ~ ( p @ ( f @ $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl2,plain,
    ( p
    @ ( f
      @ ( b
        & ( a @ ( f @ b ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( b
    | ( p
      @ ( f
        @ ( $false
          & ( a @ ( f @ $false ) ) ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( b
    | ( p @ ( f @ $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    b,
    inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl8_002,plain,
    b,
    inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    ~ ( p
      @ ( f
        @ ( ( a @ ( f @ $true ) )
          & $true ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl8,zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ~ ( p @ ( f @ ( a @ ( f @ $true ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl2_003,plain,
    ( p
    @ ( f
      @ ( b
        & ( a @ ( f @ b ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8_004,plain,
    b,
    inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl8_005,plain,
    b,
    inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ( p
    @ ( f
      @ ( $true
        & ( a @ ( f @ $true ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl8,zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    p @ ( f @ ( a @ ( f @ $true ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO018^1 : 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.m6PqHWhuUk true
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 05:32:23 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.80  % Solved by lams/35_full_unif4.sh.
% 0.22/0.80  % done 6 iterations in 0.012s
% 0.22/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80  % SZS output start Refutation
% See solution above
% 0.22/0.80  
% 0.22/0.80  
% 0.22/0.80  % Terminating...
% 1.60/0.87  % Runner terminated.
% 1.77/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------