TSTP Solution File: GEO117+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO117+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.vP7XEGJ6Tk true

% Computer : n011.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 23:56:43 EDT 2023

% Result   : Theorem 1.38s 0.85s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   26 (   6 unt;  11 typ;   0 def)
%            Number of atoms       :   35 (   4 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  134 (  17   ~;   9   |;   7   &;  97   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   3 con; 0-4 aty)
%            Number of variables   :   42 (   0   ^;  40   !;   2   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
thf(incident_c_type,type,
    incident_c: $i > $i > $o ).

thf(between_o_type,type,
    between_o: $i > $i > $i > $i > $o ).

thf(sk__25_type,type,
    sk__25: $i ).

thf(end_point_type,type,
    end_point: $i > $i > $o ).

thf(incident_o_type,type,
    incident_o: $i > $i > $o ).

thf(part_of_type,type,
    part_of: $i > $i > $o ).

thf(sk__18_type,type,
    sk__18: $i > $i > $i > $i > $i ).

thf(between_c_type,type,
    between_c: $i > $i > $i > $i > $o ).

thf(inner_point_type,type,
    inner_point: $i > $i > $o ).

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

thf(sk__24_type,type,
    sk__24: $i ).

thf(theorem_4_4,conjecture,
    ! [O: $i,P: $i] :
      ~ ( ordered_by @ O @ P @ P ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [O: $i,P: $i] :
        ~ ( ordered_by @ O @ P @ P ),
    inference('cnf.neg',[status(esa)],[theorem_4_4]) ).

thf(zip_derived_cl85,plain,
    ordered_by @ sk__24 @ sk__25 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(between_o_defn,axiom,
    ! [O: $i,P: $i,Q: $i,R: $i] :
      ( ( between_o @ O @ P @ Q @ R )
    <=> ( ( ( ordered_by @ O @ P @ Q )
          & ( ordered_by @ O @ Q @ R ) )
        | ( ( ordered_by @ O @ R @ Q )
          & ( ordered_by @ O @ Q @ P ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( between_o @ X0 @ X1 @ X2 @ X3 )
      | ~ ( ordered_by @ X0 @ X1 @ X2 )
      | ~ ( ordered_by @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[between_o_defn]) ).

thf(o3,axiom,
    ! [P: $i,Q: $i,R: $i,O: $i] :
      ( ( between_o @ O @ P @ Q @ R )
    <=> ? [C: $i] :
          ( ( between_c @ C @ P @ Q @ R )
          & ! [P: $i] :
              ( ( incident_o @ P @ O )
            <=> ( incident_c @ P @ C ) ) ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( between_c @ ( sk__18 @ X0 @ X1 @ X2 @ X3 ) @ X3 @ X2 @ X1 )
      | ~ ( between_o @ X0 @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[o3]) ).

thf(between_c_defn,axiom,
    ! [C: $i,P: $i,Q: $i,R: $i] :
      ( ( between_c @ C @ P @ Q @ R )
    <=> ( ( P != R )
        & ? [Cpp: $i] :
            ( ( inner_point @ Q @ Cpp )
            & ( end_point @ R @ Cpp )
            & ( end_point @ P @ Cpp )
            & ( part_of @ Cpp @ C ) ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 != X0 )
      | ~ ( between_c @ X2 @ X1 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[between_c_defn]) ).

thf(zip_derived_cl608,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( between_o @ X3 @ X2 @ X1 @ X0 )
      | ( X2 != X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl43]) ).

thf(zip_derived_cl871,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ordered_by @ X3 @ X1 @ X0 )
      | ~ ( ordered_by @ X3 @ X2 @ X1 )
      | ( X2 != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl608]) ).

thf(zip_derived_cl878,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ordered_by @ X2 @ X1 @ X0 )
      | ~ ( ordered_by @ X2 @ X0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl871]) ).

thf(zip_derived_cl879,plain,
    ~ ( ordered_by @ sk__24 @ sk__25 @ sk__25 ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl878]) ).

thf(zip_derived_cl85_001,plain,
    ordered_by @ sk__24 @ sk__25 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl881,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl85]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vP7XEGJ6Tk true
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 23:26:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 1.17/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.17/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.17/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.17/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.17/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.17/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.85  % Solved by fo/fo3_bce.sh.
% 1.38/0.85  % BCE start: 86
% 1.38/0.85  % BCE eliminated: 0
% 1.38/0.85  % PE start: 86
% 1.38/0.85  logic: eq
% 1.38/0.85  % PE eliminated: -5
% 1.38/0.85  % done 134 iterations in 0.089s
% 1.38/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.85  % SZS output start Refutation
% See solution above
% 1.38/0.85  
% 1.38/0.85  
% 1.38/0.85  % Terminating...
% 1.64/0.95  % Runner terminated.
% 1.77/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------