TSTP Solution File: NUM680^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM680^1 : 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.jDGj1N8UQu true

% Computer : n028.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 12:43:22 EDT 2023

% Result   : Theorem 0.20s 0.77s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   34 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  109 (  18   ~;   7   |;   0   &;  76   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

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

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

thf(y_type,type,
    y: nat ).

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

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

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

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

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

thf(satz10a,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( Xx != Xy )
     => ( ~ ( more @ Xx @ Xy )
       => ( less @ Xx @ Xy ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: nat,X1: nat] :
      ( ( more @ X0 @ X1 )
      | ( less @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[satz10a]) ).

thf(zip_derived_cl0_001,plain,
    more @ ( pl @ x @ z ) @ ( pl @ y @ z ),
    inference(cnf,[status(esa)],[m]) ).

thf(satz19c,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ( less @ Xx @ Xy )
     => ( less @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xz ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ~ ( less @ X0 @ X1 )
      | ( less @ ( pl @ X0 @ X2 ) @ ( pl @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz19c]) ).

thf(satz10b,axiom,
    ! [Xx: nat,Xy: nat] :
      ~ ( ( ( Xx = Xy )
         => ~ ( more @ Xx @ Xy ) )
       => ( ( ( more @ Xx @ Xy )
           => ~ ( less @ Xx @ Xy ) )
         => ~ ( ( less @ Xx @ Xy )
             => ( Xx != Xy ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( more @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz10b]) ).

thf(zip_derived_cl15,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ~ ( less @ X2 @ X1 )
      | ~ ( more @ ( pl @ X2 @ X0 ) @ ( pl @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).

thf(zip_derived_cl19,plain,
    ~ ( less @ x @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).

thf(zip_derived_cl21,plain,
    ( ( x = y )
    | ( more @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl19]) ).

thf(satz20a,conjecture,
    more @ x @ y ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( more @ x @ y ),
    inference('cnf.neg',[status(esa)],[satz20a]) ).

thf(zip_derived_cl8,plain,
    ~ ( more @ x @ y ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    x = y,
    inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( more @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[satz10b]) ).

thf(zip_derived_cl9,plain,
    ! [X1: nat] :
      ~ ( more @ X1 @ X1 ),
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl25,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl24,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM680^1 : 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.jDGj1N8UQu true
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 14:35:21 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77  % Solved by lams/40_c.s.sh.
% 0.20/0.77  % done 13 iterations in 0.011s
% 0.20/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.77  % SZS output start Refutation
% See solution above
% 0.20/0.77  
% 0.20/0.77  
% 0.20/0.77  % Terminating...
% 1.20/0.85  % Runner terminated.
% 1.20/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------