TSTP Solution File: GEO217+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YT8mH5o6Wg true

% Computer : n006.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 23:57:44 EDT 2023

% Result   : Theorem 1.34s 0.83s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   38 (  14 unt;   6 typ;   0 def)
%            Number of atoms       :   59 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  161 (  18   ~;  18   |;   2   &; 116   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (   0   ^;  45   !;   0   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
thf(parallel_lines_type,type,
    parallel_lines: $i > $i > $o ).

thf(distinct_lines_type,type,
    distinct_lines: $i > $i > $o ).

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

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

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(p1,axiom,
    ! [X: $i,Y: $i] :
      ( ( distinct_lines @ X @ Y )
     => ( convergent_lines @ X @ Y ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ X0 @ X1 )
      | ~ ( distinct_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[p1]) ).

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

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

thf(zip_derived_cl49,plain,
    parallel_lines @ sk_ @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a3,axiom,
    ! [X: $i,Y: $i] :
      ( ( parallel_lines @ X @ Y )
    <=> ~ ( convergent_lines @ X @ Y ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ~ ( parallel_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a3]) ).

thf(zip_derived_cl74,plain,
    ~ ( convergent_lines @ sk_ @ sk__2 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl42]) ).

thf(zip_derived_cl82,plain,
    ~ ( distinct_lines @ sk_ @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl74]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ( parallel_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a3]) ).

thf(zip_derived_cl48,plain,
    ~ ( parallel_lines @ sk__1 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73,plain,
    convergent_lines @ sk__1 @ sk__2,
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl48]) ).

thf(ceq3,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( distinct_lines @ Y @ Z )
        | ( convergent_lines @ X @ Z ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_lines @ X1 @ X2 )
      | ( convergent_lines @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ceq3]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__1 @ X0 )
      | ( distinct_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl13]) ).

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_cl113,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_lines @ sk__2 @ X0 )
      | ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ sk__1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl102,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_cl347,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ X0 @ sk__1 )
      | ( distinct_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl2]) ).

thf(zip_derived_cl50,plain,
    parallel_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ~ ( parallel_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a3]) ).

thf(zip_derived_cl75,plain,
    ~ ( convergent_lines @ sk_ @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl42]) ).

thf(zip_derived_cl367,plain,
    distinct_lines @ sk__2 @ sk_,
    inference('sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl75]) ).

thf(apart5,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_lines @ X @ Y )
     => ( ( distinct_lines @ X @ Z )
        | ( distinct_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_lines @ X0 @ X1 )
      | ( distinct_lines @ X0 @ X2 )
      | ( distinct_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart5]) ).

thf(zip_derived_cl371,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ sk_ @ X0 )
      | ( distinct_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl4]) ).

thf(apart2,axiom,
    ! [X: $i] :
      ~ ( distinct_lines @ X @ X ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ~ ( distinct_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart2]) ).

thf(zip_derived_cl400,plain,
    distinct_lines @ sk_ @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl1]) ).

thf(zip_derived_cl407,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl400]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YT8mH5o6Wg true
% 0.14/0.35  % Computer : n006.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 22:09:21 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.93/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.93/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.29/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.34/0.83  % Solved by fo/fo3_bce.sh.
% 1.34/0.83  % BCE start: 51
% 1.34/0.83  % BCE eliminated: 0
% 1.34/0.83  % PE start: 51
% 1.34/0.83  logic: neq
% 1.34/0.83  % PE eliminated: 12
% 1.34/0.83  % done 128 iterations in 0.069s
% 1.34/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.83  % SZS output start Refutation
% See solution above
% 1.34/0.83  
% 1.34/0.83  
% 1.34/0.83  % Terminating...
% 1.50/0.86  % Runner terminated.
% 1.50/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------