%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV194^5 : 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.fF5YLHQZSE true

% Computer : n002.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 : Thu Aug 31 19:59:57 EDT 2023

% Result   : Theorem 0.23s 0.78s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   20 (  16 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   71 (   4   ~;   6   |;  12   &;  45   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (  10 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^;  12   !;  12   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(c0_type,type,
    c0: a ).

thf(cP_type,type,
    cP: a > a > a ).

thf(x_type,type,
    x: a ).

thf(sk__type,type,
    sk_: a > a > a > $o ).

thf(cS_INCL_LEM2_pme,conjecture,
    ! [R: a > a > a > $o] :
      ( ! [Xa: a,Xb: a,Xc: a] :
          ( ( ( ( Xa = c0 )
              & ( Xb = Xc ) )
            | ( ( Xb = c0 )
              & ( Xa = Xc ) )
            | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
                ( ( R @ Xx2 @ Xy2 @ Xz2 )
                & ( R @ Xx1 @ Xy1 @ Xz1 )
                & ( Xc
                  = ( cP @ Xz1 @ Xz2 ) )
                & ( Xb
                  = ( cP @ Xy1 @ Xy2 ) )
                & ( Xa
                  = ( cP @ Xx1 @ Xx2 ) ) ) )
         => ( R @ Xa @ Xb @ Xc ) )
     => ( R @ c0 @ x @ x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [R: a > a > a > $o] :
        ( ! [Xa: a,Xb: a,Xc: a] :
            ( ( ( ( Xa = c0 )
                & ( Xb = Xc ) )
              | ( ( Xb = c0 )
                & ( Xa = Xc ) )
              | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
                  ( ( R @ Xx2 @ Xy2 @ Xz2 )
                  & ( R @ Xx1 @ Xy1 @ Xz1 )
                  & ( Xc
                    = ( cP @ Xz1 @ Xz2 ) )
                  & ( Xb
                    = ( cP @ Xy1 @ Xy2 ) )
                  & ( Xa
                    = ( cP @ Xx1 @ Xx2 ) ) ) )
           => ( R @ Xa @ Xb @ Xc ) )
       => ( R @ c0 @ x @ x ) ),
    inference('cnf.neg',[status(esa)],[cS_INCL_LEM2_pme]) ).

thf(zip_derived_cl3,plain,
    ~ ( sk_ @ c0 @ x @ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( sk_ @ X0 @ X1 @ X2 )
      | ( X0 != c0 )
      | ( X1 != X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: a] : ( sk_ @ c0 @ X2 @ X2 ),
    inference(simplify,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV194^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fF5YLHQZSE true
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 04:02:16 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % 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
% 0.14/0.37  % Running in HO mode
% 0.23/0.68  % Total configuration time : 828
% 0.23/0.68  % Estimated wc time : 1656
% 0.23/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.78  % Solved by lams/40_c.s.sh.
% 0.23/0.78  % done 1 iterations in 0.007s
% 0.23/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.78  % SZS output start Refutation
% See solution above
% 0.23/0.78  
% 0.23/0.78  
% 0.23/0.78  % Terminating...
% 1.71/0.88  % Runner terminated.
% 1.72/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------