%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM721^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TKqsYwEG7t true

% Computer : n012.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 12:43:43 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (   1 unt;   8 typ;   0 def)
%            Number of atoms       :   43 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  120 (   9   ~;   5   |;   0   &; 104   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   25 (  13   ^;  12   !;   0   ?;  25   :)

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

thf(u_type,type,
    u: nat ).

thf(y_type,type,
    y: nat ).

thf(diffprop_type,type,
    diffprop: nat > nat > nat > $o ).

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

thf(some_type,type,
    some: ( nat > $o ) > $o ).

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf(satz34,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
      ( ( some
        @ ^ [Xu: nat] : ( diffprop @ Xx @ Xy @ Xu ) )
     => ( ( some
          @ ^ [Xu_0: nat] : ( diffprop @ Xz @ Xu @ Xu_0 ) )
       => ( some
          @ ^ [Xu_0: nat] : ( diffprop @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xu ) @ Xu_0 ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ~ ( some
          @ ^ [Y0: nat] : ( diffprop @ X0 @ X1 @ Y0 ) )
      | ( some
        @ ^ [Y0: nat] : ( diffprop @ ( ts @ X0 @ X2 ) @ ( ts @ X1 @ X3 ) @ Y0 ) )
      | ~ ( some
          @ ^ [Y0: nat] : ( diffprop @ X2 @ X3 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[satz34]) ).

thf(zip_derived_cl25,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ~ ( some @ ( diffprop @ X0 @ X1 ) )
      | ( some @ ( diffprop @ ( ts @ X0 @ X2 ) @ ( ts @ X1 @ X3 ) ) )
      | ~ ( some @ ( diffprop @ X2 @ X3 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(satz34a,conjecture,
    ( some
    @ ^ [Xv: nat] : ( diffprop @ ( ts @ y @ u ) @ ( ts @ x @ z ) @ Xv ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( some
      @ ^ [Xv: nat] : ( diffprop @ ( ts @ y @ u ) @ ( ts @ x @ z ) @ Xv ) ),
    inference('cnf.neg',[status(esa)],[satz34a]) ).

thf(zip_derived_cl3,plain,
    ~ ( some
      @ ^ [Y0: nat] : ( diffprop @ ( ts @ y @ u ) @ ( ts @ x @ z ) @ Y0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ~ ( some @ ( diffprop @ ( ts @ y @ u ) @ ( ts @ x @ z ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( some @ ( diffprop @ u @ z ) )
    | ~ ( some @ ( diffprop @ y @ x ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl10]) ).

thf(k,axiom,
    ( some
    @ ^ [Xv: nat] : ( diffprop @ u @ z @ Xv ) ) ).

thf(zip_derived_cl1,plain,
    ( some
    @ ^ [Y0: nat] : ( diffprop @ u @ z @ Y0 ) ),
    inference(cnf,[status(esa)],[k]) ).

thf(zip_derived_cl5,plain,
    some @ ( diffprop @ u @ z ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(l,axiom,
    ( some
    @ ^ [Xv: nat] : ( diffprop @ y @ x @ Xv ) ) ).

thf(zip_derived_cl0,plain,
    ( some
    @ ^ [Y0: nat] : ( diffprop @ y @ x @ Y0 ) ),
    inference(cnf,[status(esa)],[l]) ).

thf(zip_derived_cl4,plain,
    some @ ( diffprop @ y @ x ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl32,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl5,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM721^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TKqsYwEG7t true
% 0.14/0.34  % Computer : n012.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 17:16:11 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/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
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % Solved by lams/40_c.s.sh.
% 0.21/0.74  % done 9 iterations in 0.015s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 0.21/0.77  % Runner terminated.
% 0.21/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------