TSTP Solution File: SYO334^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO334^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IBkPd5Lshj true

% Computer : n008.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 05:50:44 EDT 2023

% Result   : Theorem 0.56s 0.83s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   44 (  25 unt;  13 typ;   0 def)
%            Number of atoms       :   25 (  22 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :  248 (   6   ~;   4   |;   6   &; 220   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   81 (   4   ^;  75   !;   2   ?;  81   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_type,type,
    c: $tType ).

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

thf(a_type,type,
    a: $tType ).

thf(sk__type,type,
    sk_: a > b ).

thf(c_starb_type,type,
    c_starb: b > b > b ).

thf(sk__2_type,type,
    sk__2: b > a ).

thf(sk__1_type,type,
    sk__1: a > c ).

thf(sk__5_type,type,
    sk__5: b ).

thf(c_stara_type,type,
    c_stara: a > a > a ).

thf(c_starc_type,type,
    c_starc: c > c > c ).

thf(sk__6_type,type,
    sk__6: c > $o ).

thf(sk__3_type,type,
    sk__3: b > c ).

thf(sk__4_type,type,
    sk__4: b ).

thf(cTHM270_INST,conjecture,
    ! [Xf: a > b,Xg: a > c,Xh: b > c] :
      ( ( ! [Xx: a,Xq: c > $o] :
            ( ( Xq @ ( Xh @ ( Xf @ Xx ) ) )
           => ( Xq @ ( Xg @ Xx ) ) )
        & ! [Xy: b] :
          ? [Xx: a] :
          ! [Xq: b > $o] :
            ( ( Xq @ ( Xf @ Xx ) )
           => ( Xq @ Xy ) )
        & ! [Xx: a,Xy: a,Xq: b > $o] :
            ( ( Xq @ ( Xf @ ( c_stara @ Xx @ Xy ) ) )
           => ( Xq @ ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
        & ! [Xx: a,Xy: a,Xq: c > $o] :
            ( ( Xq @ ( Xg @ ( c_stara @ Xx @ Xy ) ) )
           => ( Xq @ ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) ) )
     => ! [Xx: b,Xy: b,Xq: c > $o] :
          ( ( Xq @ ( Xh @ ( c_starb @ Xx @ Xy ) ) )
         => ( Xq @ ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xf: a > b,Xg: a > c,Xh: b > c] :
        ( ( ! [Xx: a,Xq: c > $o] :
              ( ( Xq @ ( Xh @ ( Xf @ Xx ) ) )
             => ( Xq @ ( Xg @ Xx ) ) )
          & ! [Xy: b] :
            ? [Xx: a] :
            ! [Xq: b > $o] :
              ( ( Xq @ ( Xf @ Xx ) )
             => ( Xq @ Xy ) )
          & ! [Xx: a,Xy: a,Xq: b > $o] :
              ( ( Xq @ ( Xf @ ( c_stara @ Xx @ Xy ) ) )
             => ( Xq @ ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
          & ! [Xx: a,Xy: a,Xq: c > $o] :
              ( ( Xq @ ( Xg @ ( c_stara @ Xx @ Xy ) ) )
             => ( Xq @ ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) ) )
       => ! [Xx: b,Xy: b,Xq: c > $o] :
            ( ( Xq @ ( Xh @ ( c_starb @ Xx @ Xy ) ) )
           => ( Xq @ ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM270_INST]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk__6 @ ( c_starc @ ( sk__3 @ sk__4 ) @ ( sk__3 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: b > $o,X3: b] :
      ( ( X2 @ X3 )
      | ~ ( X2 @ ( sk_ @ ( sk__2 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: b] :
      ( ^ [Y0: b] :
          ( Y0
          = ( sk_ @ ( sk__2 @ X0 ) ) )
      @ X0 ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl28,plain,
    ! [X0: b] :
      ( X0
      = ( sk_ @ ( sk__2 @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl29,plain,
    ! [X0: b] :
      ( X0
      = ( sk_ @ ( sk__2 @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl4,plain,
    ! [X4: b > $o,X5: a,X6: a] :
      ( ( X4 @ ( c_starb @ ( sk_ @ X5 ) @ ( sk_ @ X6 ) ) )
      | ~ ( X4 @ ( sk_ @ ( c_stara @ X5 @ X6 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ! [X0: a,X1: a] :
      ( ^ [Y0: b] :
          ( Y0
          = ( sk_ @ ( c_stara @ X1 @ X0 ) ) )
      @ ( c_starb @ ( sk_ @ X1 ) @ ( sk_ @ X0 ) ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl116,plain,
    ! [X0: a,X1: a] :
      ( ( c_starb @ ( sk_ @ X1 ) @ ( sk_ @ X0 ) )
      = ( sk_ @ ( c_stara @ X1 @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl117,plain,
    ! [X0: a,X1: a] :
      ( ( c_starb @ ( sk_ @ X1 ) @ ( sk_ @ X0 ) )
      = ( sk_ @ ( c_stara @ X1 @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl116]) ).

thf(zip_derived_cl190,plain,
    ! [X0: b,X1: a] :
      ( ( c_starb @ X0 @ ( sk_ @ X1 ) )
      = ( sk_ @ ( c_stara @ ( sk__2 @ X0 ) @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl117]) ).

thf(zip_derived_cl2,plain,
    ! [X0: c > $o,X1: a] :
      ( ( X0 @ ( sk__1 @ X1 ) )
      | ~ ( X0 @ ( sk__3 @ ( sk_ @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ! [X0: a] :
      ( ^ [Y0: c] :
          ( Y0
          = ( sk__3 @ ( sk_ @ X0 ) ) )
      @ ( sk__1 @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl71,plain,
    ! [X0: a] :
      ( ( sk__1 @ X0 )
      = ( sk__3 @ ( sk_ @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl72,plain,
    ! [X0: a] :
      ( ( sk__1 @ X0 )
      = ( sk__3 @ ( sk_ @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl202,plain,
    ! [X0: a,X1: b] :
      ( ( sk__1 @ ( c_stara @ ( sk__2 @ X1 ) @ X0 ) )
      = ( sk__3 @ ( c_starb @ X1 @ ( sk_ @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl72]) ).

thf(zip_derived_cl29_001,plain,
    ! [X0: b] :
      ( X0
      = ( sk_ @ ( sk__2 @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl72_002,plain,
    ! [X0: a] :
      ( ( sk__1 @ X0 )
      = ( sk__3 @ ( sk_ @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl92,plain,
    ! [X0: b] :
      ( ( sk__1 @ ( sk__2 @ X0 ) )
      = ( sk__3 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl72]) ).

thf(zip_derived_cl5,plain,
    ! [X7: c > $o,X8: a,X9: a] :
      ( ( X7 @ ( c_starc @ ( sk__1 @ X8 ) @ ( sk__1 @ X9 ) ) )
      | ~ ( X7 @ ( sk__1 @ ( c_stara @ X8 @ X9 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151,plain,
    ! [X0: a,X1: a] :
      ( ^ [Y0: c] :
          ( Y0
          = ( sk__1 @ ( c_stara @ X1 @ X0 ) ) )
      @ ( c_starc @ ( sk__1 @ X1 ) @ ( sk__1 @ X0 ) ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl163,plain,
    ! [X0: a,X1: a] :
      ( ( c_starc @ ( sk__1 @ X1 ) @ ( sk__1 @ X0 ) )
      = ( sk__1 @ ( c_stara @ X1 @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl151]) ).

thf(zip_derived_cl164,plain,
    ! [X0: a,X1: a] :
      ( ( c_starc @ ( sk__1 @ X1 ) @ ( sk__1 @ X0 ) )
      = ( sk__1 @ ( c_stara @ X1 @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl163]) ).

thf(zip_derived_cl198,plain,
    ! [X0: b,X1: a] :
      ( ( c_starc @ ( sk__1 @ X1 ) @ ( sk__3 @ X0 ) )
      = ( sk__1 @ ( c_stara @ X1 @ ( sk__2 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl164]) ).

thf(zip_derived_cl230,plain,
    ! [X0: b,X1: b] :
      ( ( c_starc @ ( sk__1 @ ( sk__2 @ X1 ) ) @ ( sk__3 @ X0 ) )
      = ( sk__3 @ ( c_starb @ X1 @ ( sk_ @ ( sk__2 @ X0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl202,zip_derived_cl198]) ).

thf(zip_derived_cl92_003,plain,
    ! [X0: b] :
      ( ( sk__1 @ ( sk__2 @ X0 ) )
      = ( sk__3 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl72]) ).

thf(zip_derived_cl29_004,plain,
    ! [X0: b] :
      ( X0
      = ( sk_ @ ( sk__2 @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl236,plain,
    ! [X0: b,X1: b] :
      ( ( c_starc @ ( sk__3 @ X1 ) @ ( sk__3 @ X0 ) )
      = ( sk__3 @ ( c_starb @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl92,zip_derived_cl29]) ).

thf(zip_derived_cl0,plain,
    sk__6 @ ( sk__3 @ ( c_starb @ sk__4 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl236,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO334^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IBkPd5Lshj true
% 0.14/0.35  % Computer : n008.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 23:00:33 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.21/0.63  % Total configuration time : 828
% 0.21/0.63  % Estimated wc time : 1656
% 0.21/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.83  % Solved by lams/40_c_ic.sh.
% 0.56/0.83  % done 33 iterations in 0.042s
% 0.56/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.83  % SZS output start Refutation
% See solution above
% 0.56/0.83  
% 0.56/0.83  
% 0.56/0.83  % Terminating...
% 0.68/0.91  % Runner terminated.
% 0.68/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------