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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO127+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AthzIciTWd true

% Computer : n024.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 : Thu Oct  2 04:33:56 PM UTC 2025

% Result   : Theorem 0.53s 0.93s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   50 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :  101 (  15 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  300 (  30   ~;  32   |;   9   &; 219   @)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   4 con; 0-3 aty)
%            Number of variables   :   66 (   0   ^;  60   !;   6   ?;  66   :)

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

thf(open_type,type,
    open: $i > $o ).

thf(sk__7_type,type,
    sk__7: $i > $i ).

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

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

thf(start_point_type,type,
    start_point: $i > $i > $o ).

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

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

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

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

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

thf(sk__19_type,type,
    sk__19: $i > $i ).

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

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

thf(sk__26_type,type,
    sk__26: $i ).

thf(theorem_4_12,conjecture,
    ! [O: $i,P: $i] :
      ( ( incident_o @ P @ O )
    <=> ? [Q: $i] :
          ( ( ordered_by @ O @ Q @ P )
          | ( ordered_by @ O @ P @ Q ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [O: $i,P: $i] :
        ( ( incident_o @ P @ O )
      <=> ? [Q: $i] :
            ( ( ordered_by @ O @ Q @ P )
            | ( ordered_by @ O @ P @ Q ) ) ),
    inference('cnf.neg',[status(esa)],[theorem_4_12]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ~ ( ordered_by @ sk__24 @ X0 @ sk__25 )
      | ~ ( incident_o @ sk__25 @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(o4,axiom,
    ! [O: $i] :
    ? [P: $i] : ( start_point @ P @ O ) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] : ( start_point @ ( sk__19 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[o4]) ).

thf(start_point_defn,axiom,
    ! [P: $i,O: $i] :
      ( ( start_point @ P @ O )
    <=> ( ( incident_o @ P @ O )
        & ! [Q: $i] :
            ( ( ( P != Q )
              & ( incident_o @ Q @ O ) )
           => ( ordered_by @ O @ P @ Q ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( incident_o @ X0 @ X2 )
      | ( ordered_by @ X2 @ X1 @ X0 )
      | ~ ( start_point @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[start_point_defn]) ).

thf(zip_derived_cl601,plain,
    ! [X0: $i,X1: $i] :
      ( ( ordered_by @ X0 @ ( sk__19 @ X0 ) @ X1 )
      | ~ ( incident_o @ X1 @ X0 )
      | ( ( sk__19 @ X0 )
        = X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl56]) ).

thf(zip_derived_cl697,plain,
    ( ~ ( incident_o @ sk__25 @ sk__24 )
    | ( ( sk__19 @ sk__24 )
      = sk__25 )
    | ~ ( incident_o @ sk__25 @ sk__24 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl601]) ).

thf(zip_derived_cl698,plain,
    ( ( ( sk__19 @ sk__24 )
      = sk__25 )
    | ~ ( incident_o @ sk__25 @ sk__24 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl697]) ).

thf(zip_derived_cl85,plain,
    ( ( ordered_by @ sk__24 @ sk__25 @ sk__26 )
    | ( ordered_by @ sk__24 @ sk__26 @ sk__25 )
    | ( incident_o @ sk__25 @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(o1,axiom,
    ! [O: $i,P: $i,Q: $i] :
      ( ( ordered_by @ O @ P @ Q )
     => ( ( incident_o @ P @ O )
        & ( incident_o @ Q @ O ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( incident_o @ X0 @ X1 )
      | ~ ( ordered_by @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[o1]) ).

thf(zip_derived_cl708,plain,
    ( ( incident_o @ sk__25 @ sk__24 )
    | ( ordered_by @ sk__24 @ sk__26 @ sk__25 ) ),
    inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl65]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( incident_o @ X0 @ X1 )
      | ~ ( ordered_by @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[o1]) ).

thf(zip_derived_cl709,plain,
    incident_o @ sk__25 @ sk__24,
    inference(clc,[status(thm)],[zip_derived_cl708,zip_derived_cl66]) ).

thf(zip_derived_cl712,plain,
    ( ( sk__19 @ sk__24 )
    = sk__25 ),
    inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl709]) ).

thf(zip_derived_cl601_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( ordered_by @ X0 @ ( sk__19 @ X0 ) @ X1 )
      | ~ ( incident_o @ X1 @ X0 )
      | ( ( sk__19 @ X0 )
        = X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl56]) ).

thf(zip_derived_cl721,plain,
    ! [X0: $i] :
      ( ( ordered_by @ sk__24 @ sk__25 @ X0 )
      | ( ( sk__19 @ sk__24 )
        = X0 )
      | ~ ( incident_o @ X0 @ sk__24 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl712,zip_derived_cl601]) ).

thf(zip_derived_cl712_002,plain,
    ( ( sk__19 @ sk__24 )
    = sk__25 ),
    inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl709]) ).

thf(zip_derived_cl725,plain,
    ! [X0: $i] :
      ( ( ordered_by @ sk__24 @ sk__25 @ X0 )
      | ( sk__25 = X0 )
      | ~ ( incident_o @ X0 @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl721,zip_derived_cl712]) ).

thf(zip_derived_cl87,plain,
    ! [X1: $i] :
      ( ~ ( ordered_by @ sk__24 @ sk__25 @ X1 )
      | ~ ( incident_o @ sk__25 @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl709_003,plain,
    incident_o @ sk__25 @ sk__24,
    inference(clc,[status(thm)],[zip_derived_cl708,zip_derived_cl66]) ).

thf(zip_derived_cl711,plain,
    ! [X1: $i] :
      ~ ( ordered_by @ sk__24 @ sk__25 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl709]) ).

thf(zip_derived_cl895,plain,
    ! [X0: $i] :
      ( ~ ( incident_o @ X0 @ sk__24 )
      | ( sk__25 = X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl725,zip_derived_cl711]) ).

thf(o2,axiom,
    ! [O: $i] :
    ? [C: $i] :
      ( ! [P: $i] :
          ( ( incident_o @ P @ O )
        <=> ( incident_c @ P @ C ) )
      & ( open @ C ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( incident_o @ X0 @ X1 )
      | ~ ( incident_c @ X0 @ ( sk__16 @ X1 ) ) ),
    inference(cnf,[status(esa)],[o2]) ).

thf(zip_derived_cl896,plain,
    ! [X0: $i] :
      ( ( sk__25 = X0 )
      | ~ ( incident_c @ X0 @ ( sk__16 @ sk__24 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl895,zip_derived_cl68]) ).

thf(c3,axiom,
    ! [C: $i] :
    ? [P: $i] : ( inner_point @ P @ C ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] : ( inner_point @ ( sk__7 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[c3]) ).

thf(inner_point_defn,axiom,
    ! [P: $i,C: $i] :
      ( ( inner_point @ P @ C )
    <=> ( ( incident_c @ P @ C )
        & ~ ( end_point @ P @ C ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( incident_c @ X0 @ X1 )
      | ~ ( inner_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[inner_point_defn]) ).

thf(zip_derived_cl614,plain,
    ! [X0: $i] : ( incident_c @ ( sk__7 @ X0 ) @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl17]) ).

thf(zip_derived_cl930,plain,
    ( sk__25
    = ( sk__7 @ ( sk__16 @ sk__24 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl896,zip_derived_cl614]) ).

thf(zip_derived_cl33_004,plain,
    ! [X0: $i] : ( inner_point @ ( sk__7 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[c3]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( end_point @ X0 @ X1 )
      | ~ ( inner_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[inner_point_defn]) ).

thf(zip_derived_cl615,plain,
    ! [X0: $i] :
      ~ ( end_point @ ( sk__7 @ X0 ) @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl18]) ).

thf(zip_derived_cl954,plain,
    ~ ( end_point @ sk__25 @ ( sk__16 @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl615]) ).

thf(zip_derived_cl896_005,plain,
    ! [X0: $i] :
      ( ( sk__25 = X0 )
      | ~ ( incident_c @ X0 @ ( sk__16 @ sk__24 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl895,zip_derived_cl68]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] : ( open @ ( sk__16 @ X0 ) ),
    inference(cnf,[status(esa)],[o2]) ).

thf(open_defn,axiom,
    ! [C: $i] :
      ( ( open @ C )
    <=> ? [P: $i] : ( end_point @ P @ C ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( end_point @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( open @ X0 ) ),
    inference(cnf,[status(esa)],[open_defn]) ).

thf(zip_derived_cl610,plain,
    ! [X0: $i] : ( end_point @ ( sk__6 @ ( sk__16 @ X0 ) ) @ ( sk__16 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl29]) ).

thf(end_point_defn,axiom,
    ! [P: $i,C: $i] :
      ( ( end_point @ P @ C )
    <=> ( ( incident_c @ P @ C )
        & ! [C1: $i,C2: $i] :
            ( ( ( part_of @ C1 @ C )
              & ( part_of @ C2 @ C )
              & ( incident_c @ P @ C1 )
              & ( incident_c @ P @ C2 ) )
           => ( ( part_of @ C1 @ C2 )
              | ( part_of @ C2 @ C1 ) ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( incident_c @ X0 @ X1 )
      | ~ ( end_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[end_point_defn]) ).

thf(zip_derived_cl651,plain,
    ! [X0: $i] : ( incident_c @ ( sk__6 @ ( sk__16 @ X0 ) ) @ ( sk__16 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl9]) ).

thf(zip_derived_cl929,plain,
    ( sk__25
    = ( sk__6 @ ( sk__16 @ sk__24 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl896,zip_derived_cl651]) ).

thf(zip_derived_cl610_006,plain,
    ! [X0: $i] : ( end_point @ ( sk__6 @ ( sk__16 @ X0 ) ) @ ( sk__16 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl29]) ).

thf(zip_derived_cl951,plain,
    end_point @ sk__25 @ ( sk__16 @ sk__24 ),
    inference('sup+',[status(thm)],[zip_derived_cl929,zip_derived_cl610]) ).

thf(zip_derived_cl1002,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl954,zip_derived_cl951]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO127+1 : TPTP v9.2.0. Released v2.4.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AthzIciTWd true
% 0.13/0.35  % Computer : n024.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 : Wed Oct  1 17:43:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.42/0.63  % Total configuration time : 435
% 0.42/0.63  % Estimated wc time : 1092
% 0.42/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.93  % Solved by fo/fo3_bce.sh.
% 0.53/0.93  % BCE start: 88
% 0.53/0.93  % BCE eliminated: 0
% 0.53/0.93  % PE start: 88
% 0.53/0.93  logic: eq
% 0.53/0.93  % PE eliminated: -5
% 0.53/0.93  % done 160 iterations in 0.169s
% 0.53/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.93  % SZS output start Refutation
% See solution above
% 0.53/0.93  
% 0.53/0.93  
% 0.53/0.93  % Terminating...
% 2.07/1.05  % Runner terminated.
% 2.07/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------