%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG001^5 : 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.rqrba5mxV0 true

% Computer : n009.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 : Wed Aug 30 17:10:01 EDT 2023

% Result   : Theorem 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   17 (   5 unt;  10 typ;   0 def)
%            Number of atoms       :   11 (  10 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   87 (   3   ~;   0   |;   2   &;  80   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(g_type,type,
    g: $tType ).

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

thf(sk__2_type,type,
    sk__2: g > g > g ).

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

thf(sk__5_type,type,
    sk__5: g ).

thf(sk__6_type,type,
    sk__6: g ).

thf(sk__4_type,type,
    sk__4: a > a > a ).

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

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

thf(cTHM133_pme,conjecture,
    ! [Xh1: g > b,Xh2: b > a,Xf1: g > g > g,Xf2: b > b > b,Xf3: a > a > a] :
      ( ( ! [Xx: g,Xy: g] :
            ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
            = ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) )
        & ! [Xx: b,Xy: b] :
            ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
            = ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) )
     => ! [Xx: g,Xy: g] :
          ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
          = ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xh1: g > b,Xh2: b > a,Xf1: g > g > g,Xf2: b > b > b,Xf3: a > a > a] :
        ( ( ! [Xx: g,Xy: g] :
              ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
              = ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) )
          & ! [Xx: b,Xy: b] :
              ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
              = ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) )
       => ! [Xx: g,Xy: g] :
            ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
            = ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM133_pme]) ).

thf(zip_derived_cl0,plain,
    ( ( sk__1 @ ( sk_ @ ( sk__2 @ sk__5 @ sk__6 ) ) )
   != ( sk__4 @ ( sk__1 @ ( sk_ @ sk__5 ) ) @ ( sk__1 @ ( sk_ @ sk__6 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: b,X1: b] :
      ( ( sk__1 @ ( sk__3 @ X0 @ X1 ) )
      = ( sk__4 @ ( sk__1 @ X0 ) @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: g,X3: g] :
      ( ( sk_ @ ( sk__2 @ X2 @ X3 ) )
      = ( sk__3 @ ( sk_ @ X2 ) @ ( sk_ @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( sk__1 @ ( sk_ @ ( sk__2 @ sk__5 @ sk__6 ) ) )
   != ( sk__1 @ ( sk_ @ ( sk__2 @ sk__5 @ sk__6 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG001^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rqrba5mxV0 true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 04:47:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.55/0.63  % Total configuration time : 828
% 0.55/0.63  % Estimated wc time : 1656
% 0.55/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73  % Solved by lams/40_c.s.sh.
% 0.56/0.73  % done 2 iterations in 0.007s
% 0.56/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.73  % SZS output start Refutation
% See solution above
% 0.56/0.73  
% 0.56/0.73  
% 0.56/0.73  % Terminating...
% 0.56/0.76  % Runner terminated.
% 0.56/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------