%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG286^5 : 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.8EIXsePW0j true

% Computer : n018.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 17:12:44 EDT 2023

% Result   : Theorem 0.18s 0.75s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  20 unt;   8 typ;   0 def)
%            Number of atoms       :   38 (  37 equ;   0 cnn)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   86 (   9   ~;   1   |;   8   &;  62   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

thf(x_type,type,
    x: a ).

thf(u_type,type,
    u: a ).

thf(cR_type,type,
    cR: a > a ).

thf(cL_type,type,
    cL: a > a ).

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

thf(y_type,type,
    y: a ).

thf(cZ_type,type,
    cZ: a ).

thf(cPU_PAIR_NOT_ZERO_pme,conjecture,
    ( ( ( ( cL @ cZ )
        = cZ )
      & ( ( cR @ cZ )
        = cZ )
      & ! [Xx0: a,Xy0: a] :
          ( ( cL @ ( cP @ Xx0 @ Xy0 ) )
          = Xx0 )
      & ! [Xx0: a,Xy0: a] :
          ( ( cR @ ( cP @ Xx0 @ Xy0 ) )
          = Xy0 )
      & ! [Xt: a] :
          ( ( Xt != cZ )
        <=> ( Xt
            = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) ) )
   => ( ( u
        = ( cP @ x @ y ) )
     => ( u != cZ ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( cL @ cZ )
          = cZ )
        & ( ( cR @ cZ )
          = cZ )
        & ! [Xx0: a,Xy0: a] :
            ( ( cL @ ( cP @ Xx0 @ Xy0 ) )
            = Xx0 )
        & ! [Xx0: a,Xy0: a] :
            ( ( cR @ ( cP @ Xx0 @ Xy0 ) )
            = Xy0 )
        & ! [Xt: a] :
            ( ( Xt != cZ )
          <=> ( Xt
              = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) ) )
     => ( ( u
          = ( cP @ x @ y ) )
       => ( u != cZ ) ) ),
    inference('cnf.neg',[status(esa)],[cPU_PAIR_NOT_ZERO_pme]) ).

thf(zip_derived_cl7,plain,
    ( u
    = ( cP @ x @ y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    u = cZ,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( cZ
    = ( cP @ x @ y ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).

thf(zip_derived_cl8_001,plain,
    ( cZ
    = ( cP @ x @ y ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).

thf(zip_derived_cl2,plain,
    ! [X0: a,X1: a] :
      ( ( cL @ ( cP @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ( ( cL @ cZ )
    = x ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ( ( cL @ cZ )
    = cZ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    cZ = x,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl13,plain,
    ( cZ
    = ( cP @ cZ @ y ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).

thf(zip_derived_cl13_002,plain,
    ( cZ
    = ( cP @ cZ @ y ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).

thf(zip_derived_cl3,plain,
    ! [X2: a,X3: a] :
      ( ( cR @ ( cP @ X3 @ X2 ) )
      = X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ( ( cR @ cZ )
    = y ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl1,plain,
    ( ( cR @ cZ )
    = cZ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    cZ = y,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl1]) ).

thf(zip_derived_cl46,plain,
    ( cZ
    = ( cP @ cZ @ cZ ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl20]) ).

thf(zip_derived_cl4,plain,
    ! [X4: a] :
      ( ( X4 != cZ )
      | ( X4
       != ( cP @ ( cL @ X4 ) @ ( cR @ X4 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ( cZ
   != ( cP @ ( cL @ cZ ) @ ( cR @ cZ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl0_003,plain,
    ( ( cL @ cZ )
    = cZ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_004,plain,
    ( ( cR @ cZ )
    = cZ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ( cZ
   != ( cP @ cZ @ cZ ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl47,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl46,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG286^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8EIXsePW0j true
% 0.12/0.32  % Computer : n018.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon Aug 28 05:45:46 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in HO mode
% 0.18/0.62  % Total configuration time : 828
% 0.18/0.62  % Estimated wc time : 1656
% 0.18/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.75  % Solved by lams/40_c.s.sh.
% 0.18/0.75  % done 13 iterations in 0.015s
% 0.18/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.18/0.75  % SZS output start Refutation
% See solution above
% 0.18/0.75  
% 0.18/0.75  
% 0.18/0.75  % Terminating...
% 1.62/0.83  % Runner terminated.
% 1.62/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------