TSTP Solution File: NUM702^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM702^1 : 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.MLxvuMg9et 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 12:43:35 EDT 2023

% Result   : Theorem 0.18s 0.72s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   23 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   25 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   68 (   5   ~;   3   |;   0   &;  58   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   14 (   4   ^;  10   !;   0   ?;  14   :)

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

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

thf(moreis_type,type,
    moreis: nat > nat > $o ).

thf(y_type,type,
    y: nat ).

thf(n_1_type,type,
    n_1: nat ).

thf(lessis_type,type,
    lessis: nat > nat > $o ).

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

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

thf(x_type,type,
    x: nat ).

thf(satz26b,conjecture,
    moreis @ y @ x ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( moreis @ y @ x ),
    inference('cnf.neg',[status(esa)],[satz26b]) ).

thf(zip_derived_cl3,plain,
    ~ ( moreis @ y @ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz26,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( some
        @ ^ [Xv: nat] : ( diffprop @ ( pl @ Xx @ n_1 ) @ Xy @ Xv ) )
     => ( lessis @ Xy @ Xx ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat,X1: nat] :
      ( ( lessis @ X0 @ X1 )
      | ~ ( some
          @ ^ [Y0: nat] : ( diffprop @ ( pl @ X1 @ n_1 ) @ X0 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[satz26]) ).

thf(zip_derived_cl5,plain,
    ! [X0: nat,X1: nat] :
      ( ( lessis @ X0 @ X1 )
      | ~ ( some @ ( diffprop @ ( pl @ X1 @ n_1 ) @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(m,axiom,
    ( some
    @ ^ [Xu: nat] : ( diffprop @ ( pl @ y @ n_1 ) @ x @ Xu ) ) ).

thf(zip_derived_cl0,plain,
    ( some
    @ ^ [Y0: nat] : ( diffprop @ ( pl @ y @ n_1 ) @ x @ Y0 ) ),
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl4,plain,
    some @ ( diffprop @ ( pl @ y @ n_1 ) @ x ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    lessis @ x @ y,
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(satz14,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( lessis @ Xx @ Xy )
     => ( moreis @ Xy @ Xx ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: nat,X1: nat] :
      ( ( moreis @ X0 @ X1 )
      | ~ ( lessis @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz14]) ).

thf(zip_derived_cl10,plain,
    moreis @ y @ x,
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM702^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MLxvuMg9et true
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri Aug 25 12:34:06 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in HO mode
% 0.18/0.62  % Total configuration time : 828
% 0.18/0.62  % Estimated wc time : 1656
% 0.18/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.72  % Solved by lams/40_c.s.sh.
% 0.18/0.72  % done 6 iterations in 0.010s
% 0.18/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.18/0.72  % SZS output start Refutation
% See solution above
% 0.18/0.72  
% 0.18/0.72  
% 0.18/0.72  % Terminating...
% 1.30/0.82  % Runner terminated.
% 1.30/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------