TSTP Solution File: GEO219+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO219+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nrYcR22HT3 true

% Computer : n007.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 : Wed Aug 30 23:57:45 EDT 2023

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   36 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  201 (  38   ~;  25   |;   5   &; 126   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(unorthogonal_lines_type,type,
    unorthogonal_lines: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(convergent_lines_type,type,
    convergent_lines: $i > $i > $o ).

thf(con,conjecture,
    ! [L: $i,M: $i,N: $i] :
      ( ( ~ ( unorthogonal_lines @ L @ M )
        & ~ ( convergent_lines @ L @ N ) )
     => ~ ( unorthogonal_lines @ M @ N ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i,N: $i] :
        ( ( ~ ( unorthogonal_lines @ L @ M )
          & ~ ( convergent_lines @ L @ N ) )
       => ~ ( unorthogonal_lines @ M @ N ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl22,plain,
    ~ ( convergent_lines @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cotno1,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( ( ~ ( unorthogonal_lines @ L @ N )
          | ~ ( convergent_lines @ L @ N ) )
        & ( ~ ( unorthogonal_lines @ L @ M )
          | ~ ( convergent_lines @ L @ M ) ) )
     => ( ~ ( unorthogonal_lines @ M @ N )
        | ~ ( convergent_lines @ M @ N ) ) ) ).

thf(zf_stmt_1,axiom,
    ! [M: $i,L: $i] :
      ( ( ~ ( convergent_lines @ L @ M )
        | ~ ( unorthogonal_lines @ L @ M ) )
     => ( zip_tseitin_1 @ M @ L ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 )
      | ( unorthogonal_lines @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(coipo1,axiom,
    ! [L: $i,M: $i] :
      ~ ( ~ ( convergent_lines @ L @ M )
        & ~ ( unorthogonal_lines @ L @ M ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ X0 @ X1 )
      | ( unorthogonal_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[coipo1]) ).

thf(zip_derived_cl23,plain,
    ~ ( unorthogonal_lines @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    convergent_lines @ sk_ @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl23]) ).

thf(ax6,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( convergent_lines @ X @ Z )
        | ( convergent_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk_ @ X0 )
      | ( convergent_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl5]) ).

thf(zip_derived_cl21,plain,
    unorthogonal_lines @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_2,axiom,
    ! [N: $i,L: $i] :
      ( ( ~ ( convergent_lines @ L @ N )
        | ~ ( unorthogonal_lines @ L @ N ) )
     => ( zip_tseitin_0 @ N @ L ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( convergent_lines @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zf_stmt_3,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_4,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( ( zip_tseitin_1 @ M @ L )
        & ( zip_tseitin_0 @ N @ L ) )
     => ( ~ ( convergent_lines @ M @ N )
        | ~ ( unorthogonal_lines @ M @ N ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_1 @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X2 @ X1 )
      | ~ ( convergent_lines @ X0 @ X2 )
      | ~ ( unorthogonal_lines @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( convergent_lines @ X2 @ X0 )
      | ~ ( unorthogonal_lines @ X1 @ X0 )
      | ~ ( convergent_lines @ X1 @ X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ X0 @ sk__2 )
      | ~ ( convergent_lines @ sk__1 @ sk__2 )
      | ~ ( zip_tseitin_1 @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl24]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk_ @ sk__2 )
      | ( convergent_lines @ X0 @ sk__2 )
      | ~ ( zip_tseitin_1 @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl54]) ).

thf(zip_derived_cl22_001,plain,
    ~ ( convergent_lines @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ X0 @ sk__2 )
      | ~ ( zip_tseitin_1 @ sk__1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl22]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( unorthogonal_lines @ X0 @ sk__1 )
      | ( convergent_lines @ X0 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl57]) ).

thf(zip_derived_cl23_002,plain,
    ~ ( unorthogonal_lines @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    convergent_lines @ sk_ @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl23]) ).

thf(zip_derived_cl95,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl94]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nrYcR22HT3 true
% 0.14/0.34  % Computer : n007.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 : Tue Aug 29 22:57:44 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 FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % Solved by fo/fo6_bce.sh.
% 0.55/0.74  % BCE start: 24
% 0.55/0.74  % BCE eliminated: 0
% 0.55/0.74  % PE start: 24
% 0.55/0.74  logic: neq
% 0.55/0.74  % PE eliminated: 1
% 0.55/0.74  % done 37 iterations in 0.023s
% 0.55/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  
% 0.55/0.74  
% 0.55/0.74  % Terminating...
% 0.58/0.85  % Runner terminated.
% 1.57/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------