TSTP Solution File: SYO040^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO040^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.It8ciAnnqt true

% Computer : n005.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 05:49:21 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   46 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :  221 (  18 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  240 (  62   ~;  50   |;   0   &; 128   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

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

thf(x_type,type,
    x: $o ).

thf(h_type,type,
    h: $o > $i ).

thf(2,conjecture,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
    = ( h @ ( f @ x ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
   != ( h @ ( f @ x ) ) ),
    inference('cnf.neg',[status(esa)],[2]) ).

thf(zip_derived_cl0,plain,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
   != ( h @ ( f @ x ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ( ( f @ ( f @ x ) )
    | ( ( h @ ( f @ $false ) )
     != ( h @ ( f @ x ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl22,plain,
    ( ~ x
    | ( f @ ( f @ $true ) )
    | ( ( h @ ( f @ $false ) )
     != ( h @ ( f @ $true ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl61,plain,
    ( ( f @ $true )
    | ~ x
    | ( f @ $false )
    | ( ( h @ ( f @ $false ) )
     != ( h @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl129,plain,
    ( ( f @ $true )
    | ~ x
    | ( f @ $false )
    | ( ( h @ $false )
     != ( h @ $false ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl130,plain,
    ( ( f @ $false )
    | ~ x
    | ( f @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl3,plain,
    ( ( f @ x )
    | ( ( h @ ( f @ ( f @ $false ) ) )
     != ( h @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl25,plain,
    ( x
    | ( f @ $false )
    | ( ( h @ ( f @ ( f @ $false ) ) )
     != ( h @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl72,plain,
    ( x
    | ( f @ $false )
    | ( ( h @ $false )
     != ( h @ $false ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl73,plain,
    ( ( f @ $false )
    | x ),
    inference(simplify,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( f @ x )
    | ( ( h @ ( f @ ( f @ $true ) ) )
     != ( h @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl24,plain,
    ( ~ x
    | ~ ( f @ $true )
    | ( ( h @ ( f @ ( f @ $true ) ) )
     != ( h @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl66,plain,
    ( ~ x
    | ~ ( f @ $true )
    | ( ( h @ $true )
     != ( h @ $true ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( f @ $true )
    | ~ x ),
    inference(simplify,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl164,plain,
    ( ( f @ $false )
    | ~ ( f @ $true ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl67]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( f @ ( f @ ( f @ x ) ) )
    | ( ( h @ $true )
     != ( h @ ( f @ x ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( f @ x )
    | ~ ( f @ ( f @ $true ) )
    | ( ( h @ $true )
     != ( h @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( f @ ( f @ $true ) )
    | ~ ( f @ x ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( f @ $true )
    | ~ ( f @ $true )
    | ~ ( f @ x ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl90,plain,
    ( ~ ( f @ x )
    | ~ ( f @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl91,plain,
    ( x
    | ~ ( f @ $false )
    | ~ ( f @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl67_001,plain,
    ( ~ ( f @ $true )
    | ~ x ),
    inference(simplify,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl171,plain,
    ( ~ ( f @ $true )
    | ~ ( f @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl67]) ).

thf(zip_derived_cl174,plain,
    ~ ( f @ $true ),
    inference(clc,[status(thm)],[zip_derived_cl164,zip_derived_cl171]) ).

thf(zip_derived_cl176,plain,
    ( ( f @ $false )
    | ~ x ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl174]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( f @ ( f @ x ) )
    | ( ( h @ ( f @ $true ) )
     != ( h @ ( f @ x ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl18,plain,
    ( ~ x
    | ~ ( f @ ( f @ $true ) )
    | ( ( h @ ( f @ $true ) )
     != ( h @ ( f @ $true ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl56,plain,
    ( ~ ( f @ ( f @ $true ) )
    | ~ x ),
    inference(simplify,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl57,plain,
    ( ( f @ $true )
    | ~ ( f @ $false )
    | ~ x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl67_002,plain,
    ( ~ ( f @ $true )
    | ~ x ),
    inference(simplify,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl167,plain,
    ( ~ x
    | ~ ( f @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl67]) ).

thf(zip_derived_cl177,plain,
    ~ x,
    inference(clc,[status(thm)],[zip_derived_cl176,zip_derived_cl167]) ).

thf(zip_derived_cl21,plain,
    ( x
    | ( f @ ( f @ $false ) )
    | ( ( h @ ( f @ $false ) )
     != ( h @ ( f @ $false ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl63,plain,
    ( ( f @ ( f @ $false ) )
    | x ),
    inference(simplify,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl65,plain,
    ( ~ ( f @ $false )
    | ( f @ $true )
    | x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl73_003,plain,
    ( ( f @ $false )
    | x ),
    inference(simplify,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl177_004,plain,
    ~ x,
    inference(clc,[status(thm)],[zip_derived_cl176,zip_derived_cl167]) ).

thf(zip_derived_cl178,plain,
    f @ $false,
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl177]) ).

thf(zip_derived_cl174_005,plain,
    ~ ( f @ $true ),
    inference(clc,[status(thm)],[zip_derived_cl164,zip_derived_cl171]) ).

thf(zip_derived_cl196,plain,
    x,
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl178,zip_derived_cl174]) ).

thf(zip_derived_cl197,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl196]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SYO040^2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.It8ciAnnqt true
% 0.14/0.35  % Computer : n005.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 23:08:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % 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
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /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
% 0.22/0.77  % Solved by lams/40_c.s.sh.
% 0.22/0.77  % done 30 iterations in 0.027s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 1.69/0.87  % Runner terminated.
% 1.69/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------