TSTP Solution File: SYO376^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO376^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iIzl3ozFbX true

% Computer : n020.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 05:50:54 EDT 2023

% Result   : Theorem 0.84s 0.77s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   75 (  15 unt;   6 typ;   0 def)
%            Number of atoms       :  251 (   9 equ;   4 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  256 (  63   ~;  71   |;   2   &; 118   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (  16   ^;   0   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cG_type,type,
    cG: $o > $o ).

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

thf(cP_type,type,
    cP: ( $o > $o ) > $o ).

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

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

thf(cF_type,type,
    cF: $o > $o ).

thf(cTHM627,conjecture,
    ( ( ( cP @ cF )
      & ( cP @ cG ) )
   => ( ( cP
        @ ^ [Xx: $o] :
            ( ( cG @ Xx )
            | ( cF @ Xx ) ) )
      | ( cP
        @ ^ [Xx: $o] :
            ( ( cG @ Xx )
            | ~ ( cF @ Xx ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cP @ cF )
        & ( cP @ cG ) )
     => ( ( cP
          @ ^ [Xx: $o] :
              ( ( cG @ Xx )
              | ( cF @ Xx ) ) )
        | ( cP
          @ ^ [Xx: $o] :
              ( ( cG @ Xx )
              | ~ ( cF @ Xx ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM627]) ).

thf(zip_derived_cl1,plain,
    cP @ cG,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( cP
      @ ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( (~) @ ( cF @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ( ( ^ [Y0: $o] : ( cG @ Y0 ) )
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( (~) @ ( cF @ Y0 ) ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl42,plain,
    ( cG
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( (~) @ ( cF @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl80,plain,
    ( ( cG @ '#sk3' )
   != ( ( cG @ '#sk3' )
      | ( (~) @ ( cF @ '#sk3' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl113,plain,
    ( ( cG @ '#sk3' )
    | ~ ( cF @ '#sk3' )
    | ( cG @ '#sk3' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl116,plain,
    ( ~ ( cF @ '#sk3' )
    | ( cG @ '#sk3' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl118,plain,
    ( ~ '#sk3'
    | ~ ( cF @ $true )
    | ( cG @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl116]) ).

thf(zip_derived_cl115,plain,
    ( ~ ( cG @ '#sk3' )
    | ~ ( cG @ '#sk3' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl121,plain,
    ~ ( cG @ '#sk3' ),
    inference(simplify,[status(thm)],[zip_derived_cl115]) ).

thf(zip_derived_cl122,plain,
    ( '#sk3'
    | ~ ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl0,plain,
    cP @ cF,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( cP
      @ ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( ( ^ [Y0: $o] : ( cF @ Y0 ) )
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl11,plain,
    ( cF
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl39,plain,
    ( ( cF @ '#sk2' )
   != ( ( cG @ '#sk2' )
      | ( cF @ '#sk2' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl47,plain,
    ( ( cG @ '#sk2' )
    | ( cF @ '#sk2' )
    | ( cF @ '#sk2' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl50,plain,
    ( ( cF @ '#sk2' )
    | ( cG @ '#sk2' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl51,plain,
    ( '#sk2'
    | ( cF @ $false )
    | ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( cF @ '#sk2' )
    | ~ ( cF @ '#sk2' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl53,plain,
    ~ ( cF @ '#sk2' ),
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl54,plain,
    ( '#sk2'
    | ~ ( cF @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl70,plain,
    ( ( cG @ $false )
    | '#sk2'
    | '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl54]) ).

thf(zip_derived_cl76,plain,
    ( '#sk2'
    | ( cG @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl52,plain,
    ( ~ '#sk2'
    | ( cF @ $true )
    | ( cG @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl55,plain,
    ( ~ '#sk2'
    | ~ ( cF @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl99,plain,
    ( ( cG @ $true )
    | ~ '#sk2' ),
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl55]) ).

thf(zip_derived_cl123,plain,
    ( ~ '#sk3'
    | ~ ( cG @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl146,plain,
    ( ~ '#sk2'
    | ~ '#sk3' ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl123]) ).

thf(zip_derived_cl1_001,plain,
    cP @ cG,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_002,plain,
    ~ ( cP
      @ ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ( ( ^ [Y0: $o] : ( cG @ Y0 ) )
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl10,plain,
    ( cG
   != ( ^ [Y0: $o] :
          ( ( cG @ Y0 )
          | ( cF @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl12,plain,
    ( ( cG @ '#sk1' )
   != ( ( cG @ '#sk1' )
      | ( cF @ '#sk1' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ( ( cG @ '#sk1' )
    | ( cF @ '#sk1' )
    | ( cG @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ( ( cF @ '#sk1' )
    | ( cG @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl20,plain,
    ( '#sk1'
    | ( cF @ $false )
    | ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl117,plain,
    ( '#sk3'
    | ~ ( cF @ $false )
    | ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl116]) ).

thf(zip_derived_cl130,plain,
    ( ( cG @ $false )
    | '#sk1'
    | ( cG @ $false )
    | '#sk3' ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl117]) ).

thf(zip_derived_cl132,plain,
    ( '#sk3'
    | '#sk1'
    | ( cG @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl18,plain,
    ( ~ ( cG @ '#sk1' )
    | ~ ( cG @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl24,plain,
    ~ ( cG @ '#sk1' ),
    inference(simplify,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl25,plain,
    ( '#sk1'
    | ~ ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl138,plain,
    ( '#sk1'
    | '#sk3' ),
    inference(clc,[status(thm)],[zip_derived_cl132,zip_derived_cl25]) ).

thf(zip_derived_cl21,plain,
    ( ~ '#sk1'
    | ( cF @ $true )
    | ( cG @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl55_003,plain,
    ( ~ '#sk2'
    | ~ ( cF @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl84,plain,
    ( ( cG @ $true )
    | ~ '#sk1'
    | ~ '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl55]) ).

thf(zip_derived_cl26,plain,
    ( ~ '#sk1'
    | ~ ( cG @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl92,plain,
    ( ~ '#sk2'
    | ~ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl84,zip_derived_cl26]) ).

thf(zip_derived_cl139,plain,
    ( '#sk3'
    | ~ '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl92]) ).

thf(zip_derived_cl148,plain,
    ~ '#sk2',
    inference(clc,[status(thm)],[zip_derived_cl146,zip_derived_cl139]) ).

thf(zip_derived_cl150,plain,
    cG @ $false,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl148]) ).

thf(zip_derived_cl179,plain,
    '#sk3',
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl150]) ).

thf(zip_derived_cl26_004,plain,
    ( ~ '#sk1'
    | ~ ( cG @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl148_005,plain,
    ~ '#sk2',
    inference(clc,[status(thm)],[zip_derived_cl146,zip_derived_cl139]) ).

thf(zip_derived_cl76_006,plain,
    ( '#sk2'
    | ( cG @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl25_007,plain,
    ( '#sk1'
    | ~ ( cG @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl87,plain,
    ( '#sk2'
    | '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl25]) ).

thf(zip_derived_cl151,plain,
    '#sk1',
    inference('sup+',[status(thm)],[zip_derived_cl148,zip_derived_cl87]) ).

thf(zip_derived_cl156,plain,
    ~ ( cG @ $true ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl151]) ).

thf(zip_derived_cl180,plain,
    ~ ( cF @ $true ),
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl179,zip_derived_cl156]) ).

thf(zip_derived_cl21_008,plain,
    ( ~ '#sk1'
    | ( cF @ $true )
    | ( cG @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl151_009,plain,
    '#sk1',
    inference('sup+',[status(thm)],[zip_derived_cl148,zip_derived_cl87]) ).

thf(zip_derived_cl155,plain,
    ( ( cF @ $true )
    | ( cG @ $true ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl151]) ).

thf(zip_derived_cl156_010,plain,
    ~ ( cG @ $true ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl151]) ).

thf(zip_derived_cl185,plain,
    cF @ $true,
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl156]) ).

thf(zip_derived_cl186,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl185]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO376^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iIzl3ozFbX true
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 04:40:44 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
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.84/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.84/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.84/0.77  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.84/0.77  % Solved by lams/40_c.s.sh.
% 0.84/0.77  % done 53 iterations in 0.025s
% 0.84/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.84/0.77  % SZS output start Refutation
% See solution above
% 0.84/0.77  
% 0.84/0.77  
% 0.84/0.77  % Terminating...
% 1.58/0.86  % Runner terminated.
% 1.58/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------