TSTP Solution File: COM013+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LPnKtbYhSj true

% Computer : n025.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 18:49:07 EDT 2023

% Result   : Theorem 0.93s 0.85s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   80 (  35 unt;  12 typ;   0 def)
%            Number of atoms       :  205 (   9 equ;   0 cnn)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :  673 (  77   ~;  81   |;  38   &; 459   @)
%                                         (   2 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :   66 (   0   ^;  52   !;  14   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aElement0_type,type,
    aElement0: $i > $o ).

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

thf(xR_type,type,
    xR: $i ).

thf(aNormalFormOfIn0_type,type,
    aNormalFormOfIn0: $i > $i > $i > $o ).

thf(isTerminating0_type,type,
    isTerminating0: $i > $o ).

thf(aRewritingSystem0_type,type,
    aRewritingSystem0: $i > $o ).

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

thf(sdtmndtasgtdt0_type,type,
    sdtmndtasgtdt0: $i > $i > $i > $o ).

thf(iLess0_type,type,
    iLess0: $i > $i > $o ).

thf(aReductOfIn0_type,type,
    aReductOfIn0: $i > $i > $i > $o ).

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

thf(sdtmndtplgtdt0_type,type,
    sdtmndtplgtdt0: $i > $i > $i > $o ).

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ! [W1: $i] :
            ( ( aElement0 @ W1 )
           => ( ( iLess0 @ W1 @ W0 )
             => ? [W2: $i] :
                  ( ( aNormalFormOfIn0 @ W2 @ W1 @ xR )
                  & ~ ? [W3: $i] : ( aReductOfIn0 @ W3 @ W2 @ xR )
                  & ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
                  & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W2 )
                      & ( ? [W3: $i] :
                            ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
                            & ( aReductOfIn0 @ W3 @ W1 @ xR )
                            & ( aElement0 @ W3 ) )
                        | ( aReductOfIn0 @ W2 @ W1 @ xR ) ) )
                    | ( W1 = W2 ) )
                  & ( aElement0 @ W2 ) ) ) )
       => ? [W1: $i] :
            ( ( aNormalFormOfIn0 @ W1 @ W0 @ xR )
            | ( ~ ? [W2: $i] : ( aReductOfIn0 @ W2 @ W1 @ xR )
              & ( ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
                | ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
                | ? [W2: $i] :
                    ( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 )
                    & ( aReductOfIn0 @ W2 @ W0 @ xR )
                    & ( aElement0 @ W2 ) )
                | ( aReductOfIn0 @ W1 @ W0 @ xR )
                | ( W0 = W1 ) )
              & ( aElement0 @ W1 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W0: $i] :
        ( ( aElement0 @ W0 )
       => ( ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( ( iLess0 @ W1 @ W0 )
               => ? [W2: $i] :
                    ( ( aNormalFormOfIn0 @ W2 @ W1 @ xR )
                    & ~ ? [W3: $i] : ( aReductOfIn0 @ W3 @ W2 @ xR )
                    & ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
                    & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W2 )
                        & ( ? [W3: $i] :
                              ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
                              & ( aReductOfIn0 @ W3 @ W1 @ xR )
                              & ( aElement0 @ W3 ) )
                          | ( aReductOfIn0 @ W2 @ W1 @ xR ) ) )
                      | ( W1 = W2 ) )
                    & ( aElement0 @ W2 ) ) ) )
         => ? [W1: $i] :
              ( ( aNormalFormOfIn0 @ W1 @ W0 @ xR )
              | ( ~ ? [W2: $i] : ( aReductOfIn0 @ W2 @ W1 @ xR )
                & ( ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
                  | ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
                  | ? [W2: $i] :
                      ( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 )
                      & ( aReductOfIn0 @ W2 @ W0 @ xR )
                      & ( aElement0 @ W2 ) )
                  | ( aReductOfIn0 @ W1 @ W0 @ xR )
                  | ( W0 = W1 ) )
                & ( aElement0 @ W1 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl49,plain,
    ! [X1: $i] :
      ( ( aReductOfIn0 @ ( sk__15 @ X1 ) @ X1 @ xR )
      | ( sk__12 != X1 )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl70,plain,
    ( ~ ( aElement0 @ sk__12 )
    | ( aReductOfIn0 @ ( sk__15 @ sk__12 ) @ sk__12 @ xR ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl47,plain,
    aElement0 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    aReductOfIn0 @ ( sk__15 @ sk__12 ) @ sk__12 @ xR,
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl47]) ).

thf(m__587,axiom,
    ( ( isTerminating0 @ xR )
    & ! [W0: $i,W1: $i] :
        ( ( ( aElement0 @ W0 )
          & ( aElement0 @ W1 ) )
       => ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
            | ? [W2: $i] :
                ( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 )
                & ( aReductOfIn0 @ W2 @ W0 @ xR )
                & ( aElement0 @ W2 ) )
            | ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) )
         => ( iLess0 @ W1 @ W0 ) ) )
    & ( aRewritingSystem0 @ xR ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( iLess0 @ X1 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X0 @ xR ) ),
    inference(cnf,[status(esa)],[m__587]) ).

thf(zip_derived_cl76,plain,
    ( ~ ( aElement0 @ sk__12 )
    | ~ ( aElement0 @ ( sk__15 @ sk__12 ) )
    | ( iLess0 @ ( sk__15 @ sk__12 ) @ sk__12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl43]) ).

thf(zip_derived_cl47_001,plain,
    aElement0 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71_002,plain,
    aReductOfIn0 @ ( sk__15 @ sk__12 ) @ sk__12 @ xR,
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl47]) ).

thf(mReduct,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 ) )
     => ! [W2: $i] :
          ( ( aReductOfIn0 @ W2 @ W0 @ W1 )
         => ( aElement0 @ W2 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl72,plain,
    ( ~ ( aElement0 @ sk__12 )
    | ~ ( aRewritingSystem0 @ xR )
    | ( aElement0 @ ( sk__15 @ sk__12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl2]) ).

thf(zip_derived_cl47_003,plain,
    aElement0 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__587]) ).

thf(zip_derived_cl73,plain,
    aElement0 @ ( sk__15 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl77,plain,
    iLess0 @ ( sk__15 @ sk__12 ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl47,zip_derived_cl73]) ).

thf(zip_derived_cl60,plain,
    ! [X3: $i,X4: $i] :
      ( ~ ( iLess0 @ X3 @ sk__12 )
      | ~ ( aReductOfIn0 @ X4 @ ( sk__13 @ X3 ) @ xR )
      | ~ ( aElement0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i] :
      ( ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) @ xR )
      | ~ ( aElement0 @ ( sk__15 @ sk__12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl60]) ).

thf(zip_derived_cl73_004,plain,
    aElement0 @ ( sk__15 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl73]) ).

thf(zip_derived_cl50,plain,
    ! [X1: $i] :
      ( ( aReductOfIn0 @ ( sk__15 @ X1 ) @ X1 @ xR )
      | ~ ( aReductOfIn0 @ X1 @ sk__12 @ xR )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112,plain,
    ( ~ ( aReductOfIn0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) @ sk__12 @ xR )
    | ~ ( aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl50]) ).

thf(zip_derived_cl77_005,plain,
    iLess0 @ ( sk__15 @ sk__12 ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl47,zip_derived_cl73]) ).

thf(zip_derived_cl54,plain,
    ! [X3: $i] :
      ( ~ ( iLess0 @ X3 @ sk__12 )
      | ( aElement0 @ ( sk__13 @ X3 ) )
      | ~ ( aElement0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    ( ( aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) )
    | ~ ( aElement0 @ ( sk__15 @ sk__12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl54]) ).

thf(zip_derived_cl73_006,plain,
    aElement0 @ ( sk__15 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl80,plain,
    aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl73]) ).

thf(zip_derived_cl114,plain,
    ~ ( aReductOfIn0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) @ sk__12 @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl80]) ).

thf(zip_derived_cl81_007,plain,
    ! [X0: $i] :
      ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl73]) ).

thf(zip_derived_cl52,plain,
    ! [X1: $i] :
      ( ( aReductOfIn0 @ ( sk__15 @ X1 ) @ X1 @ xR )
      | ~ ( sdtmndtplgtdt0 @ sk__12 @ xR @ X1 )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl188,plain,
    ( ~ ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__13 @ ( sk__15 @ sk__12 ) ) )
    | ~ ( aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl52]) ).

thf(zip_derived_cl80_008,plain,
    aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl73]) ).

thf(zip_derived_cl192,plain,
    ~ ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__13 @ ( sk__15 @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl80]) ).

thf(zip_derived_cl71_009,plain,
    aReductOfIn0 @ ( sk__15 @ sk__12 ) @ sk__12 @ xR,
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl47]) ).

thf(mTCDef,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
      <=> ( ( aReductOfIn0 @ W2 @ W0 @ W1 )
          | ? [W3: $i] :
              ( ( sdtmndtplgtdt0 @ W3 @ W1 @ W2 )
              & ( aReductOfIn0 @ W3 @ W0 @ W1 )
              & ( aElement0 @ W3 ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[mTCDef]) ).

thf(zip_derived_cl2_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aReductOfIn0 @ X2 @ X1 @ X0 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aRewritingSystem0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).

thf(zip_derived_cl92,plain,
    ( ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__15 @ sk__12 ) )
    | ~ ( aElement0 @ sk__12 )
    | ~ ( aRewritingSystem0 @ xR ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl63]) ).

thf(zip_derived_cl47_011,plain,
    aElement0 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_012,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__587]) ).

thf(zip_derived_cl93,plain,
    sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__15 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl47,zip_derived_cl42]) ).

thf(mTCTrans,axiom,
    ! [W0: $i,W1: $i,W2: $i,W3: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 )
        & ( aElement0 @ W3 ) )
     => ( ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
          & ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 ) )
       => ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( sdtmndtplgtdt0 @ X0 @ X1 @ X2 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X3 )
      | ( sdtmndtplgtdt0 @ X0 @ X1 @ X3 )
      | ~ ( sdtmndtplgtdt0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[mTCTrans]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ ( sk__15 @ sk__12 ) )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ sk__12 )
      | ~ ( aElement0 @ X0 )
      | ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 )
      | ~ ( sdtmndtplgtdt0 @ ( sk__15 @ sk__12 ) @ xR @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl10]) ).

thf(zip_derived_cl73_013,plain,
    aElement0 @ ( sk__15 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl42_014,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__587]) ).

thf(zip_derived_cl47_015,plain,
    aElement0 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 )
      | ~ ( sdtmndtplgtdt0 @ ( sk__15 @ sk__12 ) @ xR @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl73,zip_derived_cl42,zip_derived_cl47]) ).

thf(zip_derived_cl213,plain,
    ( ~ ( aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) )
    | ~ ( sdtmndtplgtdt0 @ ( sk__15 @ sk__12 ) @ xR @ ( sk__13 @ ( sk__15 @ sk__12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl125]) ).

thf(zip_derived_cl80_016,plain,
    aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl73]) ).

thf(zip_derived_cl218,plain,
    ~ ( sdtmndtplgtdt0 @ ( sk__15 @ sk__12 ) @ xR @ ( sk__13 @ ( sk__15 @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl80]) ).

thf(mTCRDef,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
      <=> ( ( W0 = W2 )
          | ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 = X2 )
      | ~ ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl236,plain,
    ( ~ ( aRewritingSystem0 @ xR )
    | ~ ( aElement0 @ ( sk__15 @ sk__12 ) )
    | ~ ( aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ) )
    | ( ( sk__15 @ sk__12 )
      = ( sk__13 @ ( sk__15 @ sk__12 ) ) )
    | ~ ( sdtmndtasgtdt0 @ ( sk__15 @ sk__12 ) @ xR @ ( sk__13 @ ( sk__15 @ sk__12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl13]) ).

thf(zip_derived_cl42_017,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__587]) ).

thf(zip_derived_cl73_018,plain,
    aElement0 @ ( sk__15 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl80_019,plain,
    aElement0 @ ( sk__13 @ ( sk__15 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl73]) ).

thf(zip_derived_cl77_020,plain,
    iLess0 @ ( sk__15 @ sk__12 ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl47,zip_derived_cl73]) ).

thf(zip_derived_cl59,plain,
    ! [X3: $i] :
      ( ~ ( iLess0 @ X3 @ sk__12 )
      | ( sdtmndtasgtdt0 @ X3 @ xR @ ( sk__13 @ X3 ) )
      | ~ ( aElement0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ( ( sdtmndtasgtdt0 @ ( sk__15 @ sk__12 ) @ xR @ ( sk__13 @ ( sk__15 @ sk__12 ) ) )
    | ~ ( aElement0 @ ( sk__15 @ sk__12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl59]) ).

thf(zip_derived_cl73_021,plain,
    aElement0 @ ( sk__15 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl85,plain,
    sdtmndtasgtdt0 @ ( sk__15 @ sk__12 ) @ xR @ ( sk__13 @ ( sk__15 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl73]) ).

thf(zip_derived_cl239,plain,
    ( ( sk__15 @ sk__12 )
    = ( sk__13 @ ( sk__15 @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl42,zip_derived_cl73,zip_derived_cl80,zip_derived_cl85]) ).

thf(zip_derived_cl71_022,plain,
    aReductOfIn0 @ ( sk__15 @ sk__12 ) @ sk__12 @ xR,
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl47]) ).

thf(zip_derived_cl270,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl239,zip_derived_cl71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LPnKtbYhSj true
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 13:00:55 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.93/0.85  % Solved by fo/fo13.sh.
% 0.93/0.85  % done 87 iterations in 0.067s
% 0.93/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.93/0.85  % SZS output start Refutation
% See solution above
% 0.93/0.85  
% 0.93/0.85  
% 0.93/0.85  % Terminating...
% 1.75/0.96  % Runner terminated.
% 1.75/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------