TSTP Solution File: SWC263+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC263+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I7ly8jQQu3 true

% Computer : n017.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 21:30:20 EDT 2023

% Result   : Theorem 62.32s 9.50s
% Output   : Refutation 62.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  115 (  30 unt;  15 typ;   0 def)
%            Number of atoms       :  385 (  25 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1395 ( 228   ~; 240   |;  14   &; 882   @)
%                                         (   3 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   4 con; 0-2 aty)
%            Number of variables   :  133 (   0   ^; 125   !;   8   ?; 133   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__27_type,type,
    sk__27: $i > $i ).

thf(ssItem_type,type,
    ssItem: $i > $o ).

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

thf(totalorderedP_type,type,
    totalorderedP: $i > $o ).

thf(nil_type,type,
    nil: $i ).

thf(app_type,type,
    app: $i > $i > $i ).

thf(sk__47_type,type,
    sk__47: $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

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

thf(sk__49_type,type,
    sk__49: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(sk__28_type,type,
    sk__28: $i > $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

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

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( totalorderedP @ U )
                  | ? [Y: $i] :
                      ( ? [Z: $i] :
                          ( ? [X1: $i] :
                              ( ? [X2: $i] :
                                  ( ( ( ( memberP @ Z @ X2 )
                                      & ~ ( leq @ X2 @ Y ) )
                                    | ( ( memberP @ X1 @ X2 )
                                      & ~ ( leq @ Y @ X2 ) ) )
                                  & ( ssItem @ X2 ) )
                              & ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
                                = W )
                              & ( ssList @ X1 ) )
                          & ( ssList @ Z ) )
                      & ( ssItem @ Y ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( totalorderedP @ U )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ? [X2: $i] :
                                    ( ( ( ( memberP @ Z @ X2 )
                                        & ~ ( leq @ X2 @ Y ) )
                                      | ( ( memberP @ X1 @ X2 )
                                        & ~ ( leq @ Y @ X2 ) ) )
                                    & ( ssItem @ X2 ) )
                                & ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
                                  = W )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssItem @ Y ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl192,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax11,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( totalorderedP @ U )
      <=> ! [V: $i] :
            ( ( ssItem @ V )
           => ! [W: $i] :
                ( ( ssItem @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ! [Z: $i] :
                            ( ( ssList @ Z )
                           => ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
                                = U )
                             => ( leq @ V @ W ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__24 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__27 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(ax37,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( cons @ V @ W ) @ U )
              <=> ( ( U = V )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X0 )
      | ( X1 != X0 )
      | ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax37]) ).

thf(zip_derived_cl2169,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl2170,plain,
    ! [X0: $i,X1: $i] :
      ( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2169]) ).

thf(zip_derived_cl49_001,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__24 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl54_002,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__27 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(ax16,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ssList @ ( cons @ V @ U ) ) ) ) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__26 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(ax36,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( app @ V @ W ) @ U )
              <=> ( ( memberP @ V @ U )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X1 @ X2 )
      | ( memberP @ ( app @ X0 @ X1 ) @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl49_003,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__24 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl54_004,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__27 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl82_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl50_006,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__26 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(ax26,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ssList @ ( app @ U @ V ) ) ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__25 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__28 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( ( app @ ( app @ ( sk__26 @ X0 ) @ ( cons @ ( sk__24 @ X0 ) @ ( sk__27 @ X0 ) ) ) @ ( cons @ ( sk__25 @ X0 ) @ ( sk__28 @ X0 ) ) )
        = X0 )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(ax81,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( cons @ V @ U )
            = ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

thf(zip_derived_cl82_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(ax82,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( app @ ( app @ U @ V ) @ W )
                = ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
        = ( app @ X1 @ ( app @ X0 @ X2 ) ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax82]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ( leq @ X1 @ X2 )
      | ~ ( memberP @ X0 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
       != sk__49 )
      | ~ ( ssList @ X3 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3054,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ( leq @ X1 @ X2 )
      | ~ ( memberP @ X0 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
       != sk__47 )
      | ~ ( ssList @ X3 )
      | ~ ( ssItem @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl195]) ).

thf(zip_derived_cl3058,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X3 )
      | ( leq @ X3 @ X1 )
      | ~ ( memberP @ X2 @ X3 )
      | ( ( app @ X2 @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
       != sk__47 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3054]) ).

thf(zip_derived_cl3067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssItem @ X1 )
      | ( ( app @ X2 @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
       != sk__47 )
      | ~ ( memberP @ X2 @ X3 )
      | ( leq @ X3 @ X1 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3058]) ).

thf(zip_derived_cl5209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 )
      | ~ ( ssItem @ X0 )
      | ( ( app @ X2 @ ( app @ ( cons @ X0 @ nil ) @ X1 ) )
       != sk__47 )
      | ~ ( memberP @ X2 @ X3 )
      | ( leq @ X3 @ X0 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3067]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl5212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssItem @ X0 )
      | ( ( app @ X2 @ ( app @ ( cons @ X0 @ nil ) @ X1 ) )
       != sk__47 )
      | ~ ( memberP @ X2 @ X3 )
      | ( leq @ X3 @ X0 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5209,zip_derived_cl83]) ).

thf(zip_derived_cl5213,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X3 )
      | ( leq @ X3 @ X0 )
      | ~ ( memberP @ X2 @ X3 )
      | ( ( app @ X2 @ ( app @ ( cons @ X0 @ nil ) @ X1 ) )
       != sk__47 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5212]) ).

thf(zip_derived_cl6517,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X3 )
      | ( leq @ X3 @ X1 )
      | ~ ( memberP @ X2 @ X3 )
      | ( ( app @ X2 @ ( cons @ X1 @ X0 ) )
       != sk__47 )
      | ~ ( ssItem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl5213]) ).

thf(zip_derived_cl6525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( app @ X2 @ ( cons @ X1 @ X0 ) )
       != sk__47 )
      | ~ ( memberP @ X2 @ X3 )
      | ( leq @ X3 @ X1 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6517]) ).

thf(zip_derived_cl11000,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( totalorderedP @ X0 )
      | ( X0 != sk__47 )
      | ~ ( memberP @ ( app @ ( sk__26 @ X0 ) @ ( cons @ ( sk__24 @ X0 ) @ ( sk__27 @ X0 ) ) ) @ X1 )
      | ( leq @ X1 @ ( sk__25 @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ ( app @ ( sk__26 @ X0 ) @ ( cons @ ( sk__24 @ X0 ) @ ( sk__27 @ X0 ) ) ) )
      | ~ ( ssItem @ ( sk__25 @ X0 ) )
      | ~ ( ssList @ ( sk__28 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl6525]) ).

thf(zip_derived_cl27330,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__28 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__25 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 )
      | ( totalorderedP @ sk__47 )
      | ~ ( ssList @ sk__47 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl11000]) ).

thf(zip_derived_cl192_008,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27331,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__28 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__25 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27330,zip_derived_cl192,zip_derived_cl190]) ).

thf(zip_derived_cl27379,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ~ ( ssItem @ ( sk__25 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl27331]) ).

thf(zip_derived_cl190_009,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_010,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27380,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__25 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27379,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27448,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl27380]) ).

thf(zip_derived_cl190_011,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_012,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27449,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27448,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27549,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__26 @ sk__47 ) )
      | ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl27449]) ).

thf(zip_derived_cl27619,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl27549]) ).

thf(zip_derived_cl190_013,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_014,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27620,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27619,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27672,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__27 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__24 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl27620]) ).

thf(zip_derived_cl27796,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ~ ( ssItem @ ( sk__24 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl27672]) ).

thf(zip_derived_cl190_015,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_016,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27797,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__24 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27796,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27800,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl27797]) ).

thf(zip_derived_cl190_017,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_018,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27801,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__26 @ sk__47 ) @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27800,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27995,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( sk__26 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl27801]) ).

thf(zip_derived_cl27999,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( ssList @ ( sk__26 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27995]) ).

thf(zip_derived_cl28114,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl27999]) ).

thf(zip_derived_cl190_019,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_020,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28115,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28114,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl28433,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__27 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__24 @ sk__47 ) )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl28115]) ).

thf(zip_derived_cl28474,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ~ ( ssItem @ ( sk__24 @ sk__47 ) )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl28433]) ).

thf(zip_derived_cl190_021,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_022,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28475,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__24 @ sk__47 ) )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28474,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl28550,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( totalorderedP @ sk__47 )
      | ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl28475]) ).

thf(zip_derived_cl190_023,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_024,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28551,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ ( sk__25 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__24 @ sk__47 ) @ ( sk__27 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28550,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl28769,plain,
    ( ~ ( ssItem @ ( sk__24 @ sk__47 ) )
    | ~ ( ssList @ ( sk__27 @ sk__47 ) )
    | ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2170,zip_derived_cl28551]) ).

thf(zip_derived_cl28772,plain,
    ( ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
    | ~ ( ssList @ ( sk__27 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28769]) ).

thf(zip_derived_cl28775,plain,
    ( ~ ( ssList @ sk__47 )
    | ( totalorderedP @ sk__47 )
    | ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl28772]) ).

thf(zip_derived_cl190_025,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_026,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28776,plain,
    ( ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__24 @ sk__47 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl28775,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl28808,plain,
    ( ~ ( ssList @ sk__47 )
    | ( totalorderedP @ sk__47 )
    | ( leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl28776]) ).

thf(zip_derived_cl190_027,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_028,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28809,plain,
    leq @ ( sk__24 @ sk__47 ) @ ( sk__25 @ sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl28808,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ~ ( leq @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
      | ( totalorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl28823,plain,
    ( ( totalorderedP @ sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28809,zip_derived_cl53]) ).

thf(zip_derived_cl190_029,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28824,plain,
    totalorderedP @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl28823,zip_derived_cl190]) ).

thf(zip_derived_cl28827,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl28824]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC263+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I7ly8jQQu3 true
% 0.13/0.35  % Computer : n017.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 : Mon Aug 28 14:05:12 EDT 2023
% 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.98/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.12/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 61.11/9.49  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 62.32/9.50  % Solved by fo/fo6_bce.sh.
% 62.32/9.50  % BCE start: 199
% 62.32/9.50  % BCE eliminated: 6
% 62.32/9.50  % PE start: 193
% 62.32/9.50  logic: eq
% 62.32/9.50  % PE eliminated: 6
% 62.32/9.50  % done 4745 iterations in 8.730s
% 62.32/9.50  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 62.32/9.50  % SZS output start Refutation
% See solution above
% 62.32/9.50  
% 62.32/9.50  
% 62.32/9.50  % Terminating...
% 62.32/9.60  % Runner terminated.
% 62.32/9.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------