TSTP Solution File: NUM688^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM688^1 : 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.hE311CpdcJ true

% Computer : n027.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 12:43:27 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   32 (   5 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  118 (  14   ~;   7   |;   0   &;  92   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

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

thf(u_type,type,
    u: nat ).

thf(y_type,type,
    y: nat ).

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

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

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf(satz19h,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
      ( ( Xx = Xy )
     => ( ( more @ Xz @ Xu )
       => ( more @ ( pl @ Xz @ Xx ) @ ( pl @ Xu @ Xy ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ( X1 != X0 )
      | ( more @ ( pl @ X2 @ X1 ) @ ( pl @ X3 @ X0 ) )
      | ~ ( more @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[satz19h]) ).

thf(zip_derived_cl6,plain,
    ! [X0: nat,X2: nat,X3: nat] :
      ( ~ ( more @ X2 @ X3 )
      | ( more @ ( pl @ X2 @ X0 ) @ ( pl @ X3 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).

thf(satz22b,conjecture,
    more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
    inference('cnf.neg',[status(esa)],[satz22b]) ).

thf(zip_derived_cl5,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(n,axiom,
    ( ~ ( more @ z @ u )
   => ( z = u ) ) ).

thf(zip_derived_cl1,plain,
    ( ( z = u )
    | ( more @ z @ u ) ),
    inference(cnf,[status(esa)],[n]) ).

thf(satz21,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
      ( ( more @ Xx @ Xy )
     => ( ( more @ Xz @ Xu )
       => ( more @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ~ ( more @ X0 @ X1 )
      | ( more @ ( pl @ X0 @ X2 ) @ ( pl @ X1 @ X3 ) )
      | ~ ( more @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[satz21]) ).

thf(zip_derived_cl5_001,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( more @ z @ u )
    | ~ ( more @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(m,axiom,
    more @ x @ y ).

thf(zip_derived_cl0,plain,
    more @ x @ y,
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl9,plain,
    ~ ( more @ z @ u ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl11,plain,
    z = u,
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ z ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl11]) ).

thf(zip_derived_cl15,plain,
    ~ ( more @ x @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(zip_derived_cl0_002,plain,
    more @ x @ y,
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM688^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hE311CpdcJ true
% 0.14/0.36  % Computer : n027.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 : Fri Aug 25 09:28:03 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % Solved by lams/40_c.s.sh.
% 0.22/0.77  % done 10 iterations in 0.010s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 0.68/0.88  % Runner terminated.
% 0.68/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------