TSTP Solution File: GEO084+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO084+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.GuAGjmAQgP true

% Computer : n003.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 23:56:29 EDT 2023

% Result   : Theorem 0.56s 0.82s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (  15 unt;  10 typ;   0 def)
%            Number of atoms       :   60 (   6 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  230 (  20   ~;  18   |;   4   &; 181   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   42 (   0   ^;  40   !;   2   ?;  42   :)

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

thf(sum_type,type,
    sum: $i > $i > $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(meet_type,type,
    meet: $i > $i > $i > $o ).

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

thf(sk__14_type,type,
    sk__14: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(sk__11_type,type,
    sk__11: $i > $i > $i ).

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(corollary_2_6_2,conjecture,
    ! [C1: $i,C2: $i,C3: $i,P: $i] :
      ( ( ( part_of @ C1 @ C3 )
        & ( part_of @ C2 @ C3 )
        & ( meet @ P @ C1 @ C2 ) )
     => ( part_of @ ( sum @ C1 @ C2 ) @ C3 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [C1: $i,C2: $i,C3: $i,P: $i] :
        ( ( ( part_of @ C1 @ C3 )
          & ( part_of @ C2 @ C3 )
          & ( meet @ P @ C1 @ C2 ) )
       => ( part_of @ ( sum @ C1 @ C2 ) @ C3 ) ),
    inference('cnf.neg',[status(esa)],[corollary_2_6_2]) ).

thf(zip_derived_cl45,plain,
    part_of @ sk__14 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(part_of_defn,axiom,
    ! [C: $i,C1: $i] :
      ( ( part_of @ C1 @ C )
    <=> ! [P: $i] :
          ( ( incident_c @ P @ C1 )
         => ( incident_c @ P @ C ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( incident_c @ X0 @ X1 )
      | ( incident_c @ X0 @ X2 )
      | ~ ( part_of @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( incident_c @ X0 @ sk__15 )
      | ~ ( incident_c @ X0 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( part_of @ X0 @ X1 )
      | ~ ( incident_c @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl46,plain,
    ~ ( part_of @ ( sum @ sk__13 @ sk__14 ) @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    meet @ sk__16 @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(c8,axiom,
    ! [C1: $i,C2: $i] :
      ( ? [P: $i] : ( meet @ P @ C1 @ C2 )
     => ? [C: $i] :
          ( C
          = ( sum @ C1 @ C2 ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk__11 @ X1 @ X0 )
        = ( sum @ X0 @ X1 ) )
      | ~ ( meet @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[c8]) ).

thf(zip_derived_cl74,plain,
    ( ( sk__11 @ sk__14 @ sk__13 )
    = ( sum @ sk__13 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).

thf(zip_derived_cl84,plain,
    ~ ( part_of @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl74]) ).

thf(zip_derived_cl91,plain,
    ~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__15 ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl84]) ).

thf(zip_derived_cl163,plain,
    ~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__14 ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl91]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( part_of @ X0 @ X1 )
      | ( incident_c @ ( sk_ @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl84_001,plain,
    ~ ( part_of @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl74]) ).

thf(zip_derived_cl111,plain,
    incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ ( sk__11 @ sk__14 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl84]) ).

thf(zip_derived_cl74_002,plain,
    ( ( sk__11 @ sk__14 @ sk__13 )
    = ( sum @ sk__13 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).

thf(sum_defn,axiom,
    ! [C: $i,C1: $i,C2: $i] :
      ( ( C
        = ( sum @ C1 @ C2 ) )
    <=> ! [Q: $i] :
          ( ( incident_c @ Q @ C )
        <=> ( ( incident_c @ Q @ C1 )
            | ( incident_c @ Q @ C2 ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( incident_c @ X0 @ X1 )
      | ( incident_c @ X0 @ X2 )
      | ( incident_c @ X0 @ X3 )
      | ( X1
       != ( sum @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[sum_defn]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( incident_c @ X1 @ X0 )
      | ( incident_c @ X1 @ X2 )
      | ~ ( incident_c @ X1 @ ( sum @ X2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl277,plain,
    ! [X0: $i] :
      ( ~ ( incident_c @ X0 @ ( sk__11 @ sk__14 @ sk__13 ) )
      | ( incident_c @ X0 @ sk__13 )
      | ( incident_c @ X0 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl271]) ).

thf(zip_derived_cl392,plain,
    ( ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__14 )
    | ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl277]) ).

thf(zip_derived_cl44,plain,
    part_of @ sk__13 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( incident_c @ X0 @ X1 )
      | ( incident_c @ X0 @ X2 )
      | ~ ( part_of @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[part_of_defn]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( incident_c @ X0 @ sk__15 )
      | ~ ( incident_c @ X0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl0]) ).

thf(zip_derived_cl91_004,plain,
    ~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__15 ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl84]) ).

thf(zip_derived_cl156,plain,
    ~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl91]) ).

thf(zip_derived_cl406,plain,
    incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__14,
    inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl156]) ).

thf(zip_derived_cl433,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl406]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO084+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GuAGjmAQgP true
% 0.14/0.35  % Computer : n003.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 21:26:11 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
% 0.14/0.35  % Running in FO mode
% 0.50/0.66  % Total configuration time : 435
% 0.50/0.66  % Estimated wc time : 1092
% 0.50/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.82  % Solved by fo/fo7.sh.
% 0.56/0.82  % done 185 iterations in 0.069s
% 0.56/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.82  % SZS output start Refutation
% See solution above
% 0.56/0.82  
% 0.56/0.82  
% 0.56/0.82  % Terminating...
% 0.58/0.86  % Runner terminated.
% 0.58/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------