TSTP Solution File: SYO041^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO041^2 : 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.WwTAgb1mYY true

% Computer : n013.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 05:49:22 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   73 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :  311 (   0 equ;   0 cnn)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  323 (  81   ~;  95   |;   6   &; 133   @)
%                                         (   6 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(y_type,type,
    y: $o ).

thf(g_type,type,
    g: $o > $o ).

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

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

thf(3,conjecture,
    ~ ( ( x
      <~> y )
      & ( ( g @ x )
      <=> y )
      & ( ( g @ y )
      <=> x )
      & ( ( f @ ( f @ ( f @ x ) ) )
      <=> ( g @ ( f @ x ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( x
    <~> y )
    & ( ( g @ x )
    <=> y )
    & ( ( g @ y )
    <=> x )
    & ( ( f @ ( f @ ( f @ x ) ) )
    <=> ( g @ ( f @ x ) ) ) ),
    inference('cnf.neg',[status(esa)],[3]) ).

thf(zip_derived_cl0,plain,
    ( ( f @ ( f @ ( f @ x ) ) )
    | ~ ( g @ ( f @ x ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    ( ~ x
    | ( f @ ( f @ ( f @ $true ) ) )
    | ~ ( g @ ( f @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl88,plain,
    ( ( f @ $true )
    | ~ x
    | ( f @ ( f @ $false ) )
    | ~ ( g @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl1,plain,
    ( ( g @ ( f @ x ) )
    | ~ ( f @ ( f @ ( f @ x ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ( ~ x
    | ( g @ ( f @ $true ) )
    | ~ ( f @ ( f @ ( f @ $true ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( f @ $true )
    | ~ x
    | ( g @ $true )
    | ~ ( f @ ( f @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( f @ $true )
    | ~ x
    | ( g @ $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl5,plain,
    ( y
    | ~ ( g @ x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ( ~ x
    | y
    | ~ ( g @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl3,plain,
    ( x
    | ~ ( g @ y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ( ~ y
    | x
    | ~ ( g @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( y
    | x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ( ~ ( g @ $true )
    | x ),
    inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl7]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( g @ $true )
    | y ),
    inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl25]) ).

thf(zip_derived_cl70,plain,
    ( ~ x
    | ~ ( f @ $true )
    | y ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl32]) ).

thf(zip_derived_cl7_001,plain,
    ( y
    | x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ( y
    | ~ ( f @ $true ) ),
    inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl7]) ).

thf(zip_derived_cl6,plain,
    ( ~ y
    | ~ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83,plain,
    ( ~ ( f @ $true )
    | ~ x ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl6]) ).

thf(zip_derived_cl94,plain,
    ( ~ ( g @ $false )
    | ( f @ ( f @ $false ) )
    | ~ x ),
    inference(clc,[status(thm)],[zip_derived_cl88,zip_derived_cl83]) ).

thf(zip_derived_cl96,plain,
    ( ~ ( f @ $false )
    | ~ ( g @ $false )
    | ( f @ $true )
    | ~ x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl83_002,plain,
    ( ~ ( f @ $true )
    | ~ x ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl6]) ).

thf(zip_derived_cl101,plain,
    ( ~ x
    | ~ ( g @ $false )
    | ~ ( f @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl83]) ).

thf(zip_derived_cl95,plain,
    ( ( f @ $false )
    | ~ ( g @ $false )
    | ( f @ $false )
    | ~ x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl102,plain,
    ( ~ x
    | ~ ( g @ $false )
    | ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl86,plain,
    ( x
    | ( f @ ( f @ ( f @ $false ) ) )
    | ~ ( g @ ( f @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl90,plain,
    ( ( f @ $false )
    | x
    | ( f @ ( f @ $false ) )
    | ~ ( g @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl99,plain,
    ( ( f @ $false )
    | x
    | ~ ( g @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl4,plain,
    ( ( g @ x )
    | ~ y ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ( x
    | ( g @ $false )
    | ~ y ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7_003,plain,
    ( y
    | x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ( ( g @ $false )
    | x ),
    inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl7]) ).

thf(zip_derived_cl100,plain,
    ( x
    | ( f @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl17]) ).

thf(zip_derived_cl104,plain,
    ( ( f @ $false )
    | ~ ( g @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl102,zip_derived_cl100]) ).

thf(zip_derived_cl113,plain,
    ( ~ ( g @ $false )
    | ~ x ),
    inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl104]) ).

thf(zip_derived_cl37,plain,
    ( x
    | ( g @ ( f @ $false ) )
    | ~ ( f @ ( f @ ( f @ $false ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl43,plain,
    ( ( f @ ( f @ $false ) )
    | x
    | ( g @ ( f @ $false ) )
    | ~ ( f @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl51,plain,
    ( ( f @ $true )
    | x
    | ( g @ $true )
    | ~ ( f @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl25_004,plain,
    ( ~ ( g @ $true )
    | x ),
    inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl7]) ).

thf(zip_derived_cl52,plain,
    ( ~ ( f @ $false )
    | x
    | ( f @ $true ) ),
    inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl25]) ).

thf(zip_derived_cl104_005,plain,
    ( ( f @ $false )
    | ~ ( g @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl102,zip_derived_cl100]) ).

thf(zip_derived_cl2,plain,
    ( ( g @ y )
    | ~ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( y
    | ( g @ $false )
    | ~ x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7_006,plain,
    ( y
    | x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ( g @ $false )
    | y ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl106,plain,
    ( ( f @ $false )
    | y ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl10]) ).

thf(zip_derived_cl6_007,plain,
    ( ~ y
    | ~ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    ( ( f @ $false )
    | ~ x ),
    inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl6]) ).

thf(zip_derived_cl100_008,plain,
    ( x
    | ( f @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl17]) ).

thf(zip_derived_cl115,plain,
    f @ $false,
    inference(clc,[status(thm)],[zip_derived_cl114,zip_derived_cl100]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( f @ ( f @ $false ) )
    | x
    | ( g @ ( f @ $false ) )
    | ~ ( f @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( f @ $false )
    | ~ ( f @ $true )
    | x
    | ( g @ $true )
    | ~ ( f @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl59,plain,
    ( ( g @ $true )
    | x
    | ~ ( f @ $true )
    | ~ ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl25_009,plain,
    ( ~ ( g @ $true )
    | x ),
    inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl7]) ).

thf(zip_derived_cl60,plain,
    ( ~ ( f @ $false )
    | ~ ( f @ $true )
    | x ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl25]) ).

thf(zip_derived_cl83_010,plain,
    ( ~ ( f @ $true )
    | ~ x ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl6]) ).

thf(zip_derived_cl84,plain,
    ( ~ ( f @ $true )
    | ~ ( f @ $false ) ),
    inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl83]) ).

thf(zip_derived_cl115_011,plain,
    f @ $false,
    inference(clc,[status(thm)],[zip_derived_cl114,zip_derived_cl100]) ).

thf(zip_derived_cl116,plain,
    ~ ( f @ $true ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl115]) ).

thf(zip_derived_cl117,plain,
    x,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl115,zip_derived_cl116]) ).

thf(zip_derived_cl119,plain,
    ~ ( g @ $false ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl117]) ).

thf(zip_derived_cl10_012,plain,
    ( ( g @ $false )
    | y ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl6_013,plain,
    ( ~ y
    | ~ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117_014,plain,
    x,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl115,zip_derived_cl116]) ).

thf(zip_derived_cl118,plain,
    ~ y,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl117]) ).

thf(zip_derived_cl120,plain,
    g @ $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl118]) ).

thf(zip_derived_cl122,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl120]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO041^2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WwTAgb1mYY true
% 0.14/0.35  % Computer : n013.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 : Sat Aug 26 05:10:17 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.77  % Solved by lams/40_c.s.sh.
% 0.21/0.77  % done 29 iterations in 0.024s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 1.42/0.86  % Runner terminated.
% 1.42/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------