TSTP Solution File: SWC290+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC290+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.HEuFUXODuY 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 Aug 31 21:30:30 EDT 2023

% Result   : Theorem 88.52s 13.23s
% Output   : Refutation 88.52s
% 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(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__30_type,type,
    sk__30: $i > $i ).

thf(sk__33_type,type,
    sk__33: $i > $i ).

thf(sk__32_type,type,
    sk__32: $i > $i ).

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

thf(lt_type,type,
    lt: $i > $i > $o ).

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

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

thf(sk__29_type,type,
    sk__29: $i > $i ).

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

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

thf(strictorderedP_type,type,
    strictorderedP: $i > $o ).

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

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

thf(sk__31_type,type,
    sk__31: $i > $i ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( strictorderedP @ U )
                  | ? [Y: $i] :
                      ( ? [Z: $i] :
                          ( ? [X1: $i] :
                              ( ? [X2: $i] :
                                  ( ( ( ( memberP @ Z @ X2 )
                                      & ~ ( lt @ X2 @ Y ) )
                                    | ( ( memberP @ X1 @ X2 )
                                      & ~ ( lt @ 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] :
                    ( ( strictorderedP @ U )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ? [X2: $i] :
                                    ( ( ( ( memberP @ Z @ X2 )
                                        & ~ ( lt @ X2 @ Y ) )
                                      | ( ( memberP @ X1 @ X2 )
                                        & ~ ( lt @ 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,
    ~ ( strictorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax12,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( strictorderedP @ 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 )
                             => ( lt @ V @ W ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__29 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__32 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

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_cl2153,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_cl2154,plain,
    ! [X0: $i,X1: $i] :
      ( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2153]) ).

thf(zip_derived_cl57_001,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__29 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl62_002,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__32 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

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_cl58,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__31 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

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_cl57_003,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__29 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl62_004,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__32 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

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_cl58_006,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__31 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

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_cl63,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__30 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__33 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( ( app @ ( app @ ( sk__31 @ X0 ) @ ( cons @ ( sk__29 @ X0 ) @ ( sk__32 @ X0 ) ) ) @ ( cons @ ( sk__30 @ X0 ) @ ( sk__33 @ X0 ) ) )
        = X0 )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

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 )
      | ( lt @ 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_cl2942,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ( lt @ 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_cl2946,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X3 )
      | ( lt @ 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_cl2942]) ).

thf(zip_derived_cl2955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssItem @ X1 )
      | ( ( app @ X2 @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
       != sk__47 )
      | ~ ( memberP @ X2 @ X3 )
      | ( lt @ X3 @ X1 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2946]) ).

thf(zip_derived_cl5298,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 )
      | ( lt @ X3 @ X0 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2955]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl5301,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 )
      | ( lt @ X3 @ X0 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5298,zip_derived_cl83]) ).

thf(zip_derived_cl5302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X3 )
      | ( lt @ X3 @ X0 )
      | ~ ( memberP @ X2 @ X3 )
      | ( ( app @ X2 @ ( app @ ( cons @ X0 @ nil ) @ X1 ) )
       != sk__47 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5301]) ).

thf(zip_derived_cl6307,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X3 )
      | ( lt @ X3 @ X1 )
      | ~ ( memberP @ X2 @ X3 )
      | ( ( app @ X2 @ ( cons @ X1 @ X0 ) )
       != sk__47 )
      | ~ ( ssItem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl5302]) ).

thf(zip_derived_cl6315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( app @ X2 @ ( cons @ X1 @ X0 ) )
       != sk__47 )
      | ~ ( memberP @ X2 @ X3 )
      | ( lt @ X3 @ X1 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6307]) ).

thf(zip_derived_cl10749,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( strictorderedP @ X0 )
      | ( X0 != sk__47 )
      | ~ ( memberP @ ( app @ ( sk__31 @ X0 ) @ ( cons @ ( sk__29 @ X0 ) @ ( sk__32 @ X0 ) ) ) @ X1 )
      | ( lt @ X1 @ ( sk__30 @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ ( app @ ( sk__31 @ X0 ) @ ( cons @ ( sk__29 @ X0 ) @ ( sk__32 @ X0 ) ) ) )
      | ~ ( ssItem @ ( sk__30 @ X0 ) )
      | ~ ( ssList @ ( sk__33 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl6315]) ).

thf(zip_derived_cl26493,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__33 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__30 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 )
      | ( strictorderedP @ sk__47 )
      | ~ ( ssList @ sk__47 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl10749]) ).

thf(zip_derived_cl192_008,plain,
    ~ ( strictorderedP @ 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_cl26494,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__33 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__30 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26493,zip_derived_cl192,zip_derived_cl190]) ).

thf(zip_derived_cl26577,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ~ ( ssItem @ ( sk__30 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl26494]) ).

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

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

thf(zip_derived_cl26578,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__30 @ sk__47 ) )
      | ~ ( ssList @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26577,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl26603,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ~ ( ssList @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl26578]) ).

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

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

thf(zip_derived_cl26604,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26603,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl26619,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__31 @ sk__47 ) )
      | ~ ( ssList @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl26604]) ).

thf(zip_derived_cl26753,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ~ ( ssList @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl26619]) ).

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

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

thf(zip_derived_cl26754,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26753,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl26825,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__32 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__29 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl26754]) ).

thf(zip_derived_cl26846,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ~ ( ssItem @ ( sk__29 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl26825]) ).

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

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

thf(zip_derived_cl26847,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__29 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26846,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl26852,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl26847]) ).

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

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

thf(zip_derived_cl26853,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( app @ ( sk__31 @ sk__47 ) @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26852,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27244,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( sk__31 @ sk__47 ) )
      | ~ ( ssItem @ X0 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl26853]) ).

thf(zip_derived_cl27248,plain,
    ! [X0: $i] :
      ( ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( ssList @ ( sk__31 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27244]) ).

thf(zip_derived_cl27392,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl27248]) ).

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

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

thf(zip_derived_cl27393,plain,
    ! [X0: $i] :
      ( ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssList @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27392,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27686,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__32 @ sk__47 ) )
      | ~ ( ssItem @ ( sk__29 @ sk__47 ) )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl27393]) ).

thf(zip_derived_cl27689,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ~ ( ssItem @ ( sk__29 @ sk__47 ) )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl27686]) ).

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

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

thf(zip_derived_cl27690,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__29 @ sk__47 ) )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27689,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27705,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( strictorderedP @ sk__47 )
      | ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl27690]) ).

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

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

thf(zip_derived_cl27706,plain,
    ! [X0: $i] :
      ( ( lt @ X0 @ ( sk__30 @ sk__47 ) )
      | ~ ( memberP @ ( cons @ ( sk__29 @ sk__47 ) @ ( sk__32 @ sk__47 ) ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27705,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27927,plain,
    ( ~ ( ssItem @ ( sk__29 @ sk__47 ) )
    | ~ ( ssList @ ( sk__32 @ sk__47 ) )
    | ( lt @ ( sk__29 @ sk__47 ) @ ( sk__30 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__29 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2154,zip_derived_cl27706]) ).

thf(zip_derived_cl27930,plain,
    ( ( lt @ ( sk__29 @ sk__47 ) @ ( sk__30 @ sk__47 ) )
    | ~ ( ssList @ ( sk__32 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__29 @ sk__47 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl27927]) ).

thf(zip_derived_cl27931,plain,
    ( ~ ( ssList @ sk__47 )
    | ( strictorderedP @ sk__47 )
    | ( lt @ ( sk__29 @ sk__47 ) @ ( sk__30 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__29 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl27930]) ).

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

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

thf(zip_derived_cl27932,plain,
    ( ( lt @ ( sk__29 @ sk__47 ) @ ( sk__30 @ sk__47 ) )
    | ~ ( ssItem @ ( sk__29 @ sk__47 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl27931,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl27991,plain,
    ( ~ ( ssList @ sk__47 )
    | ( strictorderedP @ sk__47 )
    | ( lt @ ( sk__29 @ sk__47 ) @ ( sk__30 @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl27932]) ).

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

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

thf(zip_derived_cl27992,plain,
    lt @ ( sk__29 @ sk__47 ) @ ( sk__30 @ sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl27991,zip_derived_cl190,zip_derived_cl192]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ~ ( lt @ ( sk__29 @ X0 ) @ ( sk__30 @ X0 ) )
      | ( strictorderedP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl27997,plain,
    ( ( strictorderedP @ sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27992,zip_derived_cl61]) ).

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

thf(zip_derived_cl27998,plain,
    strictorderedP @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl27997,zip_derived_cl190]) ).

thf(zip_derived_cl28000,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl27998]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SWC290+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HEuFUXODuY true
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Aug 28 17:20:08 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in FO mode
% 0.16/0.56  % Total configuration time : 435
% 0.16/0.56  % Estimated wc time : 1092
% 0.16/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 88.52/13.23  % Solved by fo/fo6_bce.sh.
% 88.52/13.23  % BCE start: 199
% 88.52/13.23  % BCE eliminated: 6
% 88.52/13.23  % PE start: 193
% 88.52/13.23  logic: eq
% 88.52/13.23  % PE eliminated: 6
% 88.52/13.23  % done 4727 iterations in 12.524s
% 88.52/13.23  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 88.52/13.23  % SZS output start Refutation
% See solution above
% 88.52/13.23  
% 88.52/13.23  
% 88.52/13.23  % Terminating...
% 88.52/13.31  % Runner terminated.
% 88.52/13.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------