%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM709^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q3rawYBclB true

% Computer : n024.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 12:43:40 EDT 2023

% Result   : Theorem 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   13 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   71 (   3   ~;   0   |;   0   &;  65   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   4 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   10 (   3   ^;   7   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(ts_type,type,
    ts: nat > nat > nat ).

thf(y_type,type,
    y: nat ).

thf(suc_type,type,
    suc: nat > nat ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(x_type,type,
    x: nat ).

thf(satz28h,conjecture,
    ( ( pl @ ( ts @ x @ y ) @ y )
    = ( ts @ ( suc @ x ) @ y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( pl @ ( ts @ x @ y ) @ y )
   != ( ts @ ( suc @ x ) @ y ) ),
    inference('cnf.neg',[status(esa)],[satz28h]) ).

thf(zip_derived_cl1,plain,
    ( ( pl @ ( ts @ x @ y ) @ y )
   != ( ts @ ( suc @ x ) @ y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz28d,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( ts @ ( suc @ Xx ) @ Xy )
      = ( pl @ ( ts @ Xx @ Xy ) @ Xy ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( ts @ ( suc @ Y0 ) @ Y1 )
            = ( pl @ ( ts @ Y0 @ Y1 ) @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[satz28d]) ).

thf(zip_derived_cl2,plain,
    ! [X2: nat] :
      ( !!
      @ ^ [Y0: nat] :
          ( ( ts @ ( suc @ X2 ) @ Y0 )
          = ( pl @ ( ts @ X2 @ Y0 ) @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: nat,X4: nat] :
      ( ( ts @ ( suc @ X2 ) @ X4 )
      = ( pl @ ( ts @ X2 @ X4 ) @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: nat,X4: nat] :
      ( ( ts @ ( suc @ X2 ) @ X4 )
      = ( pl @ ( ts @ X2 @ X4 ) @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( ts @ ( suc @ x ) @ y )
   != ( ts @ ( suc @ x ) @ y ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM709^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q3rawYBclB true
% 0.14/0.34  % Computer : n024.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
% 0.14/0.34  % DateTime : Fri Aug 25 14:56:09 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75  % Solved by lams/35_full_unif4.sh.
% 0.22/0.75  % done 1 iterations in 0.006s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.75  % Terminating...
% 1.41/0.85  % Runner terminated.
% 1.41/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------