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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRA005+1 : TPTP v9.2.0. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nvfgwWBrZH true

% Computer : n031.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 04:35:11 PM UTC 2025

% Result   : Theorem 0.57s 0.82s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (  18 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  112 (  18   ~;   8   |;   9   &;  74   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :   28 (   0   ^;  25   !;   3   ?;  28   :)

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

thf(sk__9_type,type,
    sk__9: $i ).

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 ).

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

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

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

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

thf(no_short_cut_edge,conjecture,
    ! [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 ) )
            & ( edge @ E3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [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 ) )
              & ( edge @ E3 ) ) ),
    inference('cnf.neg',[status(esa)],[no_short_cut_edge]) ).

thf(zip_derived_cl62,plain,
    ( ( tail_of @ sk__12 )
    = ( tail_of @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    shortest_path @ sk__8 @ sk__9 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    precedes @ sk__10 @ sk__11 @ 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_cl389,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( shortest_path @ X1 @ X0 @ sk__13 )
      | ( ( head_of @ X2 )
       != ( head_of @ sk__11 ) )
      | ( ( tail_of @ X2 )
       != ( tail_of @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl43]) ).

thf(zip_derived_cl390,plain,
    ! [X0: $i] :
      ( ( ( tail_of @ X0 )
       != ( tail_of @ sk__10 ) )
      | ( ( head_of @ X0 )
       != ( head_of @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl389]) ).

thf(zip_derived_cl393,plain,
    ( ( ( tail_of @ sk__10 )
     != ( tail_of @ sk__10 ) )
    | ( ( head_of @ sk__12 )
     != ( head_of @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl390]) ).

thf(zip_derived_cl61,plain,
    ( ( head_of @ sk__12 )
    = ( head_of @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl395,plain,
    ( ( ( tail_of @ sk__10 )
     != ( tail_of @ sk__10 ) )
    | ( ( head_of @ sk__11 )
     != ( head_of @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl393,zip_derived_cl61]) ).

thf(zip_derived_cl396,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl395]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRA005+1 : TPTP v9.2.0. Bugfixed v3.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nvfgwWBrZH true
% 0.13/0.35  % Computer : n031.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 13:52:23 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
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.82  % Solved by fo/fo3_bce.sh.
% 0.57/0.82  % BCE start: 64
% 0.57/0.82  % BCE eliminated: 6
% 0.57/0.82  % PE start: 58
% 0.57/0.82  logic: eq
% 0.57/0.82  % PE eliminated: 7
% 0.57/0.82  % done 40 iterations in 0.056s
% 0.57/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.82  % SZS output start Refutation
% See solution above
% 0.57/0.82  
% 0.57/0.82  
% 0.57/0.82  % Terminating...
% 0.60/0.86  % Runner terminated.
% 0.60/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------