TSTP Solution File: GRA008+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRA008+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.godjwJOaUH true

% Computer : n004.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 Aug 31 00:10:10 EDT 2023

% Result   : Theorem 1.34s 0.85s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   90 (  34 unt;  14 typ;   0 def)
%            Number of atoms       :  185 (  65 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  571 (  90   ~;  81   |;  18   &; 372   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  103 (   0   ^;  99   !;   4   ?; 103   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__9_type,type,
    sk__9: $i ).

thf(edge_type,type,
    edge: $i > $o ).

thf(sequential_type,type,
    sequential: $i > $i > $o ).

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(precedes_type,type,
    precedes: $i > $i > $i > $o ).

thf(head_of_type,type,
    head_of: $i > $i ).

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

thf(triangle_type,type,
    triangle: $i > $i > $i > $o ).

thf(shortest_path_type,type,
    shortest_path: $i > $i > $i > $o ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(tail_of_type,type,
    tail_of: $i > $i ).

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

thf(complete_type,type,
    complete: $o ).

thf(sequential_is_triangle,conjecture,
    ( complete
   => ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
        ( ( ( shortest_path @ V1 @ V2 @ P )
          & ( precedes @ E1 @ E2 @ P )
          & ( sequential @ E1 @ E2 ) )
       => ? [E3: $i] : ( triangle @ E1 @ E2 @ E3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( complete
     => ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
          ( ( ( shortest_path @ V1 @ V2 @ P )
            & ( precedes @ E1 @ E2 @ P )
            & ( sequential @ E1 @ E2 ) )
         => ? [E3: $i] : ( triangle @ E1 @ E2 @ E3 ) ) ),
    inference('cnf.neg',[status(esa)],[sequential_is_triangle]) ).

thf(zip_derived_cl65,plain,
    shortest_path @ sk__9 @ sk__10 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    complete,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(back_edge,axiom,
    ( complete
   => ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
        ( ( ( shortest_path @ V1 @ V2 @ P )
          & ( precedes @ E1 @ E2 @ P ) )
       => ? [E3: $i] :
            ( ( ( head_of @ E3 )
              = ( tail_of @ E1 ) )
            & ( ( tail_of @ E3 )
              = ( head_of @ E2 ) )
            & ( edge @ E3 ) ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( precedes @ X0 @ X1 @ X2 )
      | ~ ( shortest_path @ X3 @ X4 @ X2 )
      | ( ( head_of @ ( sk__8 @ X1 @ X0 ) )
        = ( tail_of @ X0 ) )
      | ~ complete ),
    inference(cnf,[status(esa)],[back_edge]) ).

thf(zip_derived_cl428,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( head_of @ ( sk__8 @ X1 @ X2 ) )
        = ( tail_of @ X2 ) )
      | ~ ( shortest_path @ X4 @ X3 @ X0 )
      | ~ ( precedes @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl59]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( precedes @ X1 @ X0 @ sk__13 )
      | ( ( head_of @ ( sk__8 @ X0 @ X1 ) )
        = ( tail_of @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl428]) ).

thf(zip_derived_cl66,plain,
    precedes @ sk__11 @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl495,plain,
    ( ( head_of @ ( sk__8 @ sk__12 @ sk__11 ) )
    = ( tail_of @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl66]) ).

thf(zip_derived_cl495_001,plain,
    ( ( head_of @ ( sk__8 @ sk__12 @ sk__11 ) )
    = ( tail_of @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl66]) ).

thf(sequential_defn,axiom,
    ! [E1: $i,E2: $i] :
      ( ( sequential @ E1 @ E2 )
    <=> ( ( edge @ E1 )
        & ( edge @ E2 )
        & ( E1 != E2 )
        & ( ( head_of @ E1 )
          = ( tail_of @ E2 ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( sequential @ X0 @ X1 )
      | ( ( head_of @ X0 )
       != ( tail_of @ X1 ) )
      | ( X0 = X1 )
      | ~ ( edge @ X1 )
      | ~ ( edge @ X0 ) ),
    inference(cnf,[status(esa)],[sequential_defn]) ).

thf(triangle_defn,axiom,
    ! [E1: $i,E2: $i,E3: $i] :
      ( ( triangle @ E1 @ E2 @ E3 )
    <=> ( ( edge @ E1 )
        & ( edge @ E2 )
        & ( edge @ E3 )
        & ( sequential @ E1 @ E2 )
        & ( sequential @ E2 @ E3 )
        & ( sequential @ E3 @ E1 ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( triangle @ X0 @ X1 @ X2 )
      | ~ ( sequential @ X2 @ X0 )
      | ~ ( sequential @ X1 @ X2 )
      | ~ ( sequential @ X0 @ X1 )
      | ~ ( edge @ X2 )
      | ~ ( edge @ X1 )
      | ~ ( edge @ X0 ) ),
    inference(cnf,[status(esa)],[triangle_defn]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ~ ( triangle @ sk__11 @ sk__12 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl422,plain,
    ! [X0: $i] :
      ( ~ ( edge @ sk__11 )
      | ~ ( edge @ sk__12 )
      | ~ ( edge @ X0 )
      | ~ ( sequential @ sk__11 @ sk__12 )
      | ~ ( sequential @ sk__12 @ X0 )
      | ~ ( sequential @ X0 @ sk__11 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl63]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( edge @ X0 )
      | ~ ( sequential @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sequential_defn]) ).

thf(zip_derived_cl64,plain,
    sequential @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl435,plain,
    edge @ sk__11,
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl64]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( edge @ X0 )
      | ~ ( sequential @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sequential_defn]) ).

thf(zip_derived_cl64_002,plain,
    sequential @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl437,plain,
    edge @ sk__12,
    inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl64]) ).

thf(zip_derived_cl64_003,plain,
    sequential @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ! [X0: $i] :
      ( ~ ( edge @ X0 )
      | ~ ( sequential @ sk__12 @ X0 )
      | ~ ( sequential @ X0 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl435,zip_derived_cl437,zip_derived_cl64]) ).

thf(zip_derived_cl26_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( edge @ X0 )
      | ~ ( sequential @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sequential_defn]) ).

thf(zip_derived_cl569,plain,
    ! [X0: $i] :
      ( ~ ( sequential @ X0 @ sk__11 )
      | ~ ( sequential @ sk__12 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl568,zip_derived_cl26]) ).

thf(zip_derived_cl570,plain,
    ! [X0: $i] :
      ( ~ ( edge @ X0 )
      | ~ ( edge @ sk__11 )
      | ( X0 = sk__11 )
      | ( ( head_of @ X0 )
       != ( tail_of @ sk__11 ) )
      | ~ ( sequential @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl569]) ).

thf(zip_derived_cl435_005,plain,
    edge @ sk__11,
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl64]) ).

thf(zip_derived_cl571,plain,
    ! [X0: $i] :
      ( ~ ( edge @ X0 )
      | ( X0 = sk__11 )
      | ( ( head_of @ X0 )
       != ( tail_of @ sk__11 ) )
      | ~ ( sequential @ sk__12 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl570,zip_derived_cl435]) ).

thf(zip_derived_cl27_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( edge @ X0 )
      | ~ ( sequential @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sequential_defn]) ).

thf(zip_derived_cl572,plain,
    ! [X0: $i] :
      ( ~ ( sequential @ sk__12 @ X0 )
      | ( ( head_of @ X0 )
       != ( tail_of @ sk__11 ) )
      | ( X0 = sk__11 ) ),
    inference(clc,[status(thm)],[zip_derived_cl571,zip_derived_cl27]) ).

thf(zip_derived_cl30_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( sequential @ X0 @ X1 )
      | ( ( head_of @ X0 )
       != ( tail_of @ X1 ) )
      | ( X0 = X1 )
      | ~ ( edge @ X1 )
      | ~ ( edge @ X0 ) ),
    inference(cnf,[status(esa)],[sequential_defn]) ).

thf(zip_derived_cl573,plain,
    ! [X0: $i] :
      ( ( X0 = sk__11 )
      | ( ( head_of @ X0 )
       != ( tail_of @ sk__11 ) )
      | ~ ( edge @ sk__12 )
      | ~ ( edge @ X0 )
      | ( sk__12 = X0 )
      | ( ( head_of @ sk__12 )
       != ( tail_of @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl572,zip_derived_cl30]) ).

thf(zip_derived_cl437_008,plain,
    edge @ sk__12,
    inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl64]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i] :
      ( ( X0 = sk__11 )
      | ( ( head_of @ X0 )
       != ( tail_of @ sk__11 ) )
      | ~ ( edge @ X0 )
      | ( sk__12 = X0 )
      | ( ( head_of @ sk__12 )
       != ( tail_of @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl573,zip_derived_cl437]) ).

thf(zip_derived_cl618,plain,
    ( ( ( tail_of @ sk__11 )
     != ( tail_of @ sk__11 ) )
    | ( ( head_of @ sk__12 )
     != ( tail_of @ ( sk__8 @ sk__12 @ sk__11 ) ) )
    | ( sk__12
      = ( sk__8 @ sk__12 @ sk__11 ) )
    | ~ ( edge @ ( sk__8 @ sk__12 @ sk__11 ) )
    | ( ( sk__8 @ sk__12 @ sk__11 )
      = sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl576]) ).

thf(zip_derived_cl65_009,plain,
    shortest_path @ sk__9 @ sk__10 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62_010,plain,
    complete,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( precedes @ X0 @ X1 @ X2 )
      | ~ ( shortest_path @ X3 @ X4 @ X2 )
      | ( ( tail_of @ ( sk__8 @ X1 @ X0 ) )
        = ( head_of @ X1 ) )
      | ~ complete ),
    inference(cnf,[status(esa)],[back_edge]) ).

thf(zip_derived_cl429,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( tail_of @ ( sk__8 @ X1 @ X2 ) )
        = ( head_of @ X1 ) )
      | ~ ( shortest_path @ X4 @ X3 @ X0 )
      | ~ ( precedes @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl60]) ).

thf(zip_derived_cl521,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( precedes @ X1 @ X0 @ sk__13 )
      | ( ( tail_of @ ( sk__8 @ X0 @ X1 ) )
        = ( head_of @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl429]) ).

thf(zip_derived_cl66_011,plain,
    precedes @ sk__11 @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( tail_of @ ( sk__8 @ sk__12 @ sk__11 ) )
    = ( head_of @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl66]) ).

thf(zip_derived_cl65_012,plain,
    shortest_path @ sk__9 @ sk__10 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62_013,plain,
    complete,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( precedes @ X0 @ X1 @ X2 )
      | ~ ( shortest_path @ X3 @ X4 @ X2 )
      | ( edge @ ( sk__8 @ X1 @ X0 ) )
      | ~ complete ),
    inference(cnf,[status(esa)],[back_edge]) ).

thf(zip_derived_cl430,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( edge @ ( sk__8 @ X1 @ X2 ) )
      | ~ ( shortest_path @ X4 @ X3 @ X0 )
      | ~ ( precedes @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl61]) ).

thf(zip_derived_cl490,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( precedes @ X1 @ X0 @ sk__13 )
      | ( edge @ ( sk__8 @ X0 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl430]) ).

thf(zip_derived_cl66_014,plain,
    precedes @ sk__11 @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    edge @ ( sk__8 @ sk__12 @ sk__11 ),
    inference('sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl66]) ).

thf(zip_derived_cl619,plain,
    ( ( ( tail_of @ sk__11 )
     != ( tail_of @ sk__11 ) )
    | ( ( head_of @ sk__12 )
     != ( head_of @ sk__12 ) )
    | ( sk__12
      = ( sk__8 @ sk__12 @ sk__11 ) )
    | ( ( sk__8 @ sk__12 @ sk__11 )
      = sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl618,zip_derived_cl522,zip_derived_cl491]) ).

thf(zip_derived_cl620,plain,
    ( ( ( sk__8 @ sk__12 @ sk__11 )
      = sk__11 )
    | ( sk__12
      = ( sk__8 @ sk__12 @ sk__11 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl619]) ).

thf(zip_derived_cl495_015,plain,
    ( ( head_of @ ( sk__8 @ sk__12 @ sk__11 ) )
    = ( tail_of @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl66]) ).

thf(zip_derived_cl630,plain,
    ( ( ( head_of @ sk__12 )
      = ( tail_of @ sk__11 ) )
    | ( ( sk__8 @ sk__12 @ sk__11 )
      = sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl620,zip_derived_cl495]) ).

thf(zip_derived_cl522_016,plain,
    ( ( tail_of @ ( sk__8 @ sk__12 @ sk__11 ) )
    = ( head_of @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl66]) ).

thf(no_loops,axiom,
    ! [E: $i] :
      ( ( edge @ E )
     => ( ( head_of @ E )
       != ( tail_of @ E ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( ( head_of @ X0 )
       != ( tail_of @ X0 ) )
      | ~ ( edge @ X0 ) ),
    inference(cnf,[status(esa)],[no_loops]) ).

thf(zip_derived_cl533,plain,
    ( ( ( head_of @ ( sk__8 @ sk__12 @ sk__11 ) )
     != ( head_of @ sk__12 ) )
    | ~ ( edge @ ( sk__8 @ sk__12 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl0]) ).

thf(zip_derived_cl495_017,plain,
    ( ( head_of @ ( sk__8 @ sk__12 @ sk__11 ) )
    = ( tail_of @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl66]) ).

thf(zip_derived_cl491_018,plain,
    edge @ ( sk__8 @ sk__12 @ sk__11 ),
    inference('sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl66]) ).

thf(zip_derived_cl536,plain,
    ( ( tail_of @ sk__11 )
   != ( head_of @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl533,zip_derived_cl495,zip_derived_cl491]) ).

thf(zip_derived_cl635,plain,
    ( ( sk__8 @ sk__12 @ sk__11 )
    = sk__11 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl630,zip_derived_cl536]) ).

thf(zip_derived_cl639,plain,
    ( ( head_of @ sk__11 )
    = ( tail_of @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl635]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( head_of @ X1 )
        = ( tail_of @ X0 ) )
      | ~ ( sequential @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sequential_defn]) ).

thf(zip_derived_cl64_019,plain,
    sequential @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl439,plain,
    ( ( head_of @ sk__11 )
    = ( tail_of @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl64]) ).

thf(zip_derived_cl65_020,plain,
    shortest_path @ sk__9 @ sk__10 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66_021,plain,
    precedes @ sk__11 @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(shortest_path_properties,axiom,
    ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
      ( ( ( shortest_path @ V1 @ V2 @ P )
        & ( precedes @ E1 @ E2 @ P ) )
     => ( ~ ? [E3: $i] :
              ( ( ( head_of @ E3 )
                = ( head_of @ E2 ) )
              & ( ( tail_of @ E3 )
                = ( tail_of @ E1 ) ) )
        & ~ ( precedes @ E2 @ E1 @ P ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( ( tail_of @ X1 )
       != ( tail_of @ X0 ) )
      | ( ( head_of @ X1 )
       != ( head_of @ X2 ) )
      | ~ ( precedes @ X0 @ X2 @ X3 )
      | ~ ( shortest_path @ X4 @ X5 @ X3 ) ),
    inference(cnf,[status(esa)],[shortest_path_properties]) ).

thf(zip_derived_cl474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( shortest_path @ X1 @ X0 @ sk__13 )
      | ( ( head_of @ X2 )
       != ( head_of @ sk__12 ) )
      | ( ( tail_of @ X2 )
       != ( tail_of @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl43]) ).

thf(zip_derived_cl475,plain,
    ! [X0: $i] :
      ( ( ( tail_of @ X0 )
       != ( tail_of @ sk__11 ) )
      | ( ( head_of @ X0 )
       != ( head_of @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl474]) ).

thf(zip_derived_cl479,plain,
    ( ( ( head_of @ sk__11 )
     != ( tail_of @ sk__11 ) )
    | ( ( head_of @ sk__12 )
     != ( head_of @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl475]) ).

thf(zip_derived_cl481,plain,
    ( ( head_of @ sk__11 )
   != ( tail_of @ sk__11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl479]) ).

thf(zip_derived_cl640,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl639,zip_derived_cl481]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRA008+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.godjwJOaUH true
% 0.14/0.35  % Computer : n004.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 : Sun Aug 27 03:25:53 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.85  % Solved by fo/fo3_bce.sh.
% 1.34/0.85  % BCE start: 67
% 1.34/0.85  % BCE eliminated: 1
% 1.34/0.85  % PE start: 66
% 1.34/0.85  logic: eq
% 1.34/0.85  % PE eliminated: 8
% 1.34/0.85  % done 122 iterations in 0.086s
% 1.34/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.85  % SZS output start Refutation
% See solution above
% 1.34/0.85  
% 1.34/0.85  
% 1.34/0.85  % Terminating...
% 1.83/0.96  % Runner terminated.
% 1.83/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------