TSTP Solution File: NUM795^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM795^1 : 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.7OTu6iqAeR true

% Computer : n019.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 12:44:14 EDT 2023

% Result   : Theorem 0.21s 0.73s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   31 (  10 unt;  10 typ;   0 def)
%            Number of atoms       :   35 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  121 (  15   ~;   9   |;   0   &;  92   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rat_type,type,
    rat: $tType ).

thf(u0_type,type,
    u0: rat ).

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

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

thf(y0_type,type,
    y0: rat ).

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

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

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

thf(z0_type,type,
    z0: rat ).

thf(x0_type,type,
    x0: rat ).

thf(satz83,axiom,
    ! [Xx0: rat,Xy0: rat] :
      ( ( less @ Xx0 @ Xy0 )
     => ( more @ Xy0 @ Xx0 ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: rat,X1: rat] :
      ( ( more @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz83]) ).

thf(satz85,axiom,
    ! [Xx0: rat,Xy0: rat] :
      ( ( lessis @ Xx0 @ Xy0 )
     => ( moreis @ Xy0 @ Xx0 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: rat,X1: rat] :
      ( ( moreis @ X0 @ X1 )
      | ~ ( lessis @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz85]) ).

thf(satz99a,axiom,
    ! [Xx0: rat,Xy0: rat,Xz0: rat,Xu0: rat] :
      ( ( moreis @ Xx0 @ Xy0 )
     => ( ( more @ Xz0 @ Xu0 )
       => ( more @ ( pl @ Xx0 @ Xz0 ) @ ( pl @ Xy0 @ Xu0 ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: rat,X1: rat,X2: rat,X3: rat] :
      ( ~ ( moreis @ X0 @ X1 )
      | ( more @ ( pl @ X0 @ X2 ) @ ( pl @ X1 @ X3 ) )
      | ~ ( more @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[satz99a]) ).

thf(satz82,axiom,
    ! [Xx0: rat,Xy0: rat] :
      ( ( more @ Xx0 @ Xy0 )
     => ( less @ Xy0 @ Xx0 ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: rat,X1: rat] :
      ( ( less @ X0 @ X1 )
      | ~ ( more @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz82]) ).

thf(zip_derived_cl11,plain,
    ! [X0: rat,X1: rat,X2: rat,X3: rat] :
      ( ~ ( more @ X2 @ X0 )
      | ~ ( moreis @ X3 @ X1 )
      | ( less @ ( pl @ X1 @ X0 ) @ ( pl @ X3 @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(satz99c,conjecture,
    less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
    inference('cnf.neg',[status(esa)],[satz99c]) ).

thf(zip_derived_cl6,plain,
    ~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ( ~ ( moreis @ y0 @ x0 )
    | ~ ( more @ u0 @ z0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(zip_derived_cl17,plain,
    ( ~ ( lessis @ x0 @ y0 )
    | ~ ( more @ u0 @ z0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl15]) ).

thf(l,axiom,
    lessis @ x0 @ y0 ).

thf(zip_derived_cl0,plain,
    lessis @ x0 @ y0,
    inference(cnf,[status(esa)],[l]) ).

thf(zip_derived_cl19,plain,
    ~ ( more @ u0 @ z0 ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).

thf(zip_derived_cl21,plain,
    ~ ( less @ z0 @ u0 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl19]) ).

thf(k,axiom,
    less @ z0 @ u0 ).

thf(zip_derived_cl1,plain,
    less @ z0 @ u0,
    inference(cnf,[status(esa)],[k]) ).

thf(zip_derived_cl23,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM795^1 : 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.7OTu6iqAeR true
% 0.13/0.34  % Computer : n019.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 13:36:58 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
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % Solved by lams/40_c.s.sh.
% 0.21/0.73  % done 9 iterations in 0.011s
% 0.21/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.73  % SZS output start Refutation
% See solution above
% 0.21/0.73  
% 0.21/0.73  
% 0.21/0.73  % Terminating...
% 1.41/0.85  % Runner terminated.
% 1.41/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------