%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM730^1 : 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.gLIJMAkR5v true

% Computer : n013.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 12:43:46 EDT 2023

% Result   : Theorem 0.21s 0.70s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   18 (   1 unt;  12 typ;   0 def)
%            Number of atoms       :   21 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  109 (   2   ~;   0   |;   0   &; 107   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   7 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

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

thf(frac_type,type,
    frac: $tType ).

thf(less_type,type,
    less: nat > nat > $o ).

thf(c1y_type,type,
    c1y: frac > nat ).

thf(y_type,type,
    y: frac ).

thf(c1x_type,type,
    c1x: frac > nat ).

thf(c2x_type,type,
    c2x: frac > nat ).

thf(c2y_type,type,
    c2y: frac > nat ).

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

thf(orec3_type,type,
    orec3: $o > $o > $o > $o ).

thf(more_type,type,
    more: nat > nat > $o ).

thf(x_type,type,
    x: frac ).

thf(satz41,conjecture,
    ( orec3
    @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
      = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
    @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
    @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( orec3
      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
    inference('cnf.neg',[status(esa)],[satz41]) ).

thf(zip_derived_cl1,plain,
    ~ ( orec3
      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz10,axiom,
    ! [Xx: nat,Xy: nat] : ( orec3 @ ( Xx = Xy ) @ ( more @ Xx @ Xy ) @ ( less @ Xx @ Xy ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: nat,X1: nat] : ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz10]) ).

thf(zip_derived_cl4,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM730^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gLIJMAkR5v true
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 14:10:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.21/0.62  % Total configuration time : 828
% 0.21/0.62  % Estimated wc time : 1656
% 0.21/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.70  % Solved by lams/40_c.s.sh.
% 0.21/0.70  % done 1 iterations in 0.006s
% 0.21/0.70  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.70  % SZS output start Refutation
% See solution above
% 0.21/0.70  
% 0.21/0.70  
% 0.21/0.70  % Terminating...
% 0.21/0.73  % Runner terminated.
% 0.21/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------