TSTP Solution File: GEO214+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO214+2 : 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.Zb6slfnJ0q true

% Computer : n004.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 23:57:41 EDT 2023

% Result   : Theorem 1.14s 0.76s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   36 (  10 unt;   8 typ;   0 def)
%            Number of atoms       :   61 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  167 (  14   ~;  20   |;   6   &; 120   @)
%                                         (   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     :    7 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

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

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

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

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

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

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

thf(occu1,axiom,
    ! [L: $i,M: $i] :
      ( ( unorthogonal_lines @ L @ M )
      | ( convergent_lines @ L @ M ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( unorthogonal_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[occu1]) ).

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

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

thf(zip_derived_cl27,plain,
    ~ ( unorthogonal_lines @ sk__1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    convergent_lines @ sk__1 @ sk_,
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl27]) ).

thf(apart6,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)],[apart6]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__1 @ X0 )
      | ( convergent_lines @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl5]) ).

thf(apart3,axiom,
    ! [X: $i] :
      ~ ( convergent_lines @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl49,plain,
    convergent_lines @ sk_ @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2]) ).

thf(oac1,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( ( unorthogonal_lines @ L @ M )
        & ( convergent_lines @ L @ M ) )
     => ( ( ( unorthogonal_lines @ M @ N )
          & ( convergent_lines @ M @ N ) )
        | ( ( unorthogonal_lines @ L @ N )
          & ( convergent_lines @ L @ N ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [N: $i,L: $i] :
      ( ( zip_tseitin_1 @ N @ L )
     => ( ( convergent_lines @ L @ N )
        & ( unorthogonal_lines @ L @ N ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [N: $i,M: $i] :
      ( ( zip_tseitin_0 @ N @ M )
     => ( ( convergent_lines @ M @ N )
        & ( unorthogonal_lines @ M @ N ) ) ) ).

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

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unorthogonal_lines @ X0 @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 )
      | ( zip_tseitin_1 @ X2 @ X0 )
      | ( zip_tseitin_0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( unorthogonal_lines @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X0 @ X2 )
      | ~ ( convergent_lines @ X2 @ X1 )
      | ~ ( unorthogonal_lines @ X2 @ X1 )
      | ( unorthogonal_lines @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl19]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ~ ( unorthogonal_lines @ sk_ @ sk__1 )
      | ( unorthogonal_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl29]) ).

thf(zip_derived_cl26,plain,
    unorthogonal_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ( unorthogonal_lines @ sk__1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl26]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ X0 @ X1 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( unorthogonal_lines @ sk__1 @ X0 )
      | ( convergent_lines @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl20]) ).

thf(zip_derived_cl27_001,plain,
    ~ ( unorthogonal_lines @ sk__1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    convergent_lines @ sk_ @ sk_,
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl27]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl116,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO214+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Zb6slfnJ0q true
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 19:22:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.14/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.14/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.14/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.14/0.76  % Solved by fo/fo6_bce.sh.
% 1.14/0.76  % BCE start: 28
% 1.14/0.76  % BCE eliminated: 0
% 1.14/0.76  % PE start: 28
% 1.14/0.76  logic: neq
% 1.14/0.76  % PE eliminated: 1
% 1.14/0.76  % done 49 iterations in 0.029s
% 1.14/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.14/0.76  % SZS output start Refutation
% See solution above
% 1.14/0.77  
% 1.14/0.77  
% 1.14/0.77  % Terminating...
% 1.69/0.86  % Runner terminated.
% 1.70/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------