TSTP Solution File: GEO148+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5f08ZL7YJb true

% Computer : n026.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 23:56:57 EDT 2023

% Result   : Theorem 1.33s 0.82s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (   6 unt;  11 typ;   0 def)
%            Number of atoms       :   43 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  237 (  22   ~;  13   |;   4   &; 191   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   39 (   0   ^;  39   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(connect_type,type,
    connect: $i > $i > $i > $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(ordered_by_type,type,
    ordered_by: $i > $i > $i > $o ).

thf(at_type,type,
    at: $i > $i > $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(trajectory_of_type,type,
    trajectory_of: $i > $i ).

thf(once_type,type,
    once: $i > $o ).

thf(at_the_same_time_type,type,
    at_the_same_time: $i > $i > $i ).

thf(t14,conjecture,
    ! [P: $i,X: $i,Y: $i] :
      ( ( connect @ X @ Y @ P )
     => ! [Q1: $i,Q2: $i] :
          ( ( ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P )
            & ( ordered_by @ ( trajectory_of @ X ) @ P @ Q1 ) )
         => ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [P: $i,X: $i,Y: $i] :
        ( ( connect @ X @ Y @ P )
       => ! [Q1: $i,Q2: $i] :
            ( ( ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P )
              & ( ordered_by @ ( trajectory_of @ X ) @ P @ Q1 ) )
           => ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t14]) ).

thf(zip_derived_cl19,plain,
    ordered_by @ ( trajectory_of @ sk__5 ) @ sk__4 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(connect_defn,axiom,
    ! [X: $i,Y: $i,P: $i] :
      ( ( connect @ X @ Y @ P )
    <=> ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( once @ ( at_the_same_time @ ( at @ X0 @ X1 ) @ ( at @ X2 @ X1 ) ) )
      | ~ ( connect @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[connect_defn]) ).

thf(symmetry_of_at_the_same_time,axiom,
    ! [A: $i,B: $i] :
      ( ( once @ ( at_the_same_time @ A @ B ) )
    <=> ( once @ ( at_the_same_time @ B @ A ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( once @ ( at_the_same_time @ X0 @ X1 ) )
      | ~ ( once @ ( at_the_same_time @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[symmetry_of_at_the_same_time]) ).

thf(zip_derived_cl21,plain,
    once @ ( at_the_same_time @ ( at @ sk__5 @ sk__7 ) @ ( at @ sk__6 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( once @ ( at_the_same_time @ X0 @ X1 ) )
      | ~ ( once @ ( at_the_same_time @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[symmetry_of_at_the_same_time]) ).

thf(zip_derived_cl88,plain,
    once @ ( at_the_same_time @ ( at @ sk__6 @ sk__8 ) @ ( at @ sk__5 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl6]) ).

thf(homogeneous_behaviour,axiom,
    ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
        & ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) )
     => ~ ( ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
          & ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( ordered_by @ ( trajectory_of @ X0 ) @ X1 @ X2 )
      | ~ ( once @ ( at_the_same_time @ ( at @ X0 @ X1 ) @ ( at @ X3 @ X4 ) ) )
      | ~ ( once @ ( at_the_same_time @ ( at @ X0 @ X2 ) @ ( at @ X3 @ X5 ) ) )
      | ~ ( ordered_by @ ( trajectory_of @ X3 ) @ X5 @ X4 ) ),
    inference(cnf,[status(esa)],[homogeneous_behaviour]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordered_by @ ( trajectory_of @ sk__5 ) @ X0 @ sk__7 )
      | ~ ( once @ ( at_the_same_time @ ( at @ sk__6 @ X1 ) @ ( at @ sk__5 @ X0 ) ) )
      | ~ ( ordered_by @ ( trajectory_of @ sk__6 ) @ sk__8 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl16]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( once @ ( at_the_same_time @ ( at @ sk__5 @ X0 ) @ ( at @ sk__6 @ X1 ) ) )
      | ~ ( ordered_by @ ( trajectory_of @ sk__6 ) @ sk__8 @ X1 )
      | ~ ( ordered_by @ ( trajectory_of @ sk__5 ) @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl100]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ~ ( connect @ sk__5 @ sk__6 @ X0 )
      | ~ ( ordered_by @ ( trajectory_of @ sk__5 ) @ X0 @ sk__7 )
      | ~ ( ordered_by @ ( trajectory_of @ sk__6 ) @ sk__8 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl104]) ).

thf(zip_derived_cl156,plain,
    ( ~ ( ordered_by @ ( trajectory_of @ sk__6 ) @ sk__8 @ sk__4 )
    | ~ ( connect @ sk__5 @ sk__6 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl119]) ).

thf(zip_derived_cl20,plain,
    ordered_by @ ( trajectory_of @ sk__6 ) @ sk__8 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    connect @ sk__5 @ sk__6 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl20,zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5f08ZL7YJb true
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Aug 29 23:37:21 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.33/0.82  % Solved by fo/fo4.sh.
% 1.33/0.82  % done 79 iterations in 0.030s
% 1.33/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.82  % SZS output start Refutation
% See solution above
% 1.33/0.82  
% 1.33/0.82  
% 1.33/0.82  % Terminating...
% 1.33/0.90  % Runner terminated.
% 1.58/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------