TSTP Solution File: SWC389+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC389+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.t3uWkYVNzn true

% Computer : n008.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 21:31:15 EDT 2023

% Result   : Theorem 1.40s 1.01s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  111 (  25 unt;  17 typ;   0 def)
%            Number of atoms       :  257 ( 106 equ;   0 cnn)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  554 ( 108   ~;  90   |;  23   &; 283   @)
%                                         (   3 <=>;  18  =>;  29  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  42   !;   7   ?;  49   :)

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

thf(sk__50_type,type,
    sk__50: $i ).

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

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

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

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

thf(sk__51_type,type,
    sk__51: $i ).

thf(sk__53_type,type,
    sk__53: $i ).

thf(sk__52_type,type,
    sk__52: $i ).

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

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

thf(sk__48_type,type,
    sk__48: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

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

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

thf(singletonP_type,type,
    singletonP: $i > $o ).

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( ( singletonP @ U )
                      | ~ ( neq @ V @ nil ) )
                    & ( segmentP @ V @ U ) )
                  | ( ( ( nil != W )
                      | ( nil != X ) )
                    & ! [Y: $i] :
                        ( ( ssItem @ Y )
                       => ! [Z: $i] :
                            ( ( ssList @ Z )
                           => ! [X1: $i] :
                                ( ? [X3: $i] :
                                    ( ( lt @ X3 @ Y )
                                    & ( memberP @ X1 @ X3 )
                                    & ( ssItem @ X3 ) )
                                | ? [X2: $i] :
                                    ( ( lt @ Y @ X2 )
                                    & ( memberP @ Z @ X2 )
                                    & ( ssItem @ X2 ) )
                                | ( ( app @ ( app @ Z @ W ) @ X1 )
                                 != X )
                                | ( ( cons @ Y @ nil )
                                 != W )
                                | ~ ( ssList @ X1 ) ) ) ) )
                  | ( 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] :
                    ( ( ( ( singletonP @ U )
                        | ~ ( neq @ V @ nil ) )
                      & ( segmentP @ V @ U ) )
                    | ( ( ( nil != W )
                        | ( nil != X ) )
                      & ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ! [Z: $i] :
                              ( ( ssList @ Z )
                             => ! [X1: $i] :
                                  ( ? [X3: $i] :
                                      ( ( lt @ X3 @ Y )
                                      & ( memberP @ X1 @ X3 )
                                      & ( ssItem @ X3 ) )
                                  | ? [X2: $i] :
                                      ( ( lt @ Y @ X2 )
                                      & ( memberP @ Z @ X2 )
                                      & ( ssItem @ X2 ) )
                                  | ( ( app @ ( app @ Z @ W ) @ X1 )
                                   != X )
                                  | ( ( cons @ Y @ nil )
                                   != W )
                                  | ~ ( ssList @ X1 ) ) ) ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl199,plain,
    ( ( nil = sk__49 )
    | ( ( app @ ( app @ sk__52 @ sk__49 ) @ sk__53 )
      = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ( ( ( app @ ( app @ sk__52 @ sk__49 ) @ sk__53 )
      = sk__50 )
   <= ( ( app @ ( app @ sk__52 @ sk__49 ) @ sk__53 )
      = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl194,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl263,plain,
    ( ( ( app @ ( app @ sk__52 @ sk__47 ) @ sk__53 )
      = sk__48 )
   <= ( ( app @ ( app @ sk__52 @ sk__49 ) @ sk__53 )
      = sk__50 ) ),
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl194,zip_derived_cl209]) ).

thf(zip_derived_cl204,plain,
    ( ( nil = sk__50 )
    | ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl204]) ).

thf(zip_derived_cl208,plain,
    ( ( nil = sk__50 )
    | ( ssItem @ sk__51 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl208]) ).

thf(zip_derived_cl202,plain,
    ( ( nil = sk__50 )
    | ( ssList @ sk__52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl231,plain,
    ( ( nil = sk__50 )
   <= ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl209_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ( sk__48 = nil )
   <= ( nil = sk__50 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl209]) ).

thf(zip_derived_cl193,plain,
    ( ( neq @ sk__48 @ nil )
    | ~ ( segmentP @ sk__48 @ sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ( neq @ sk__48 @ nil )
   <= ( neq @ sk__48 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl256,plain,
    ( ( neq @ nil @ nil )
   <= ( ( neq @ sk__48 @ nil )
      & ( nil = sk__50 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl254,zip_derived_cl214]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl374,plain,
    ( ( ~ ( ssList @ nil )
      | ( nil != nil )
      | ~ ( ssList @ nil ) )
   <= ( ( neq @ sk__48 @ nil )
      & ( nil = sk__50 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl80]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl83_002,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl376,plain,
    ( ( nil != nil )
   <= ( ( neq @ sk__48 @ nil )
      & ( nil = sk__50 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl374,zip_derived_cl83,zip_derived_cl83]) ).

thf('2',plain,
    ( ~ ( neq @ sk__48 @ nil )
    | ( nil != sk__50 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl376]) ).

thf('3',plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
    | ( neq @ sk__48 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl195,plain,
    ( ( nil = sk__49 )
    | ( ssList @ sk__52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    ( ( nil = sk__49 )
   <= ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl194_003,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ( ( sk__47 = nil )
   <= ( nil = sk__49 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl194]) ).

thf(zip_derived_cl192,plain,
    ( ~ ( singletonP @ sk__47 )
    | ~ ( segmentP @ sk__48 @ sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
   <= ~ ( segmentP @ sk__48 @ sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl247,plain,
    ( ~ ( segmentP @ sk__48 @ nil )
   <= ( ~ ( segmentP @ sk__48 @ sk__47 )
      & ( nil = sk__49 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl212]) ).

thf(ax57,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( segmentP @ U @ nil ) ) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax57]) ).

thf(zip_derived_cl285,plain,
    ( ~ ( ssList @ sk__48 )
   <= ( ~ ( segmentP @ sk__48 @ sk__47 )
      & ( nil = sk__49 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl136]) ).

thf(zip_derived_cl210,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209_004,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl209]) ).

thf('4',plain,
    ( ( nil != sk__49 )
    | ( segmentP @ sk__48 @ sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl270]) ).

thf(zip_derived_cl246_005,plain,
    ( ( sk__47 = nil )
   <= ( nil = sk__49 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl194]) ).

thf(zip_derived_cl197,plain,
    ( ( nil = sk__49 )
    | ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl220,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl194_006,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__47 )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl194]) ).

thf(ax21,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( nil
           != ( cons @ V @ U ) ) ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( nil
       != ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax21]) ).

thf(zip_derived_cl272,plain,
    ( ( ~ ( ssItem @ sk__51 )
      | ( nil != sk__47 )
      | ~ ( ssList @ nil ) )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl90]) ).

thf(zip_derived_cl83_007,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl273,plain,
    ( ( ~ ( ssItem @ sk__51 )
      | ( nil != sk__47 ) )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl83]) ).

thf(zip_derived_cl275,plain,
    ( ( nil != sk__47 )
   <= ( nil != sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl273]) ).

thf(zip_derived_cl278,plain,
    ( ( nil != nil )
   <= ( ( nil != sk__47 )
      & ( nil = sk__49 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl275]) ).

thf('5',plain,
    ( ( nil != sk__49 )
    | ( nil = sk__47 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl278]) ).

thf('6',plain,
    ( ( nil != sk__47 )
    | ( ( cons @ sk__51 @ nil )
     != sk__49 )
    | ~ ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl273]) ).

thf('7',plain,
    ( ( ( app @ ( app @ sk__52 @ sk__49 ) @ sk__53 )
      = sk__50 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf('8',plain,
    ( ( app @ ( app @ sk__52 @ sk__49 ) @ sk__53 )
    = sk__50 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7']) ).

thf(zip_derived_cl441,plain,
    ( ( app @ ( app @ sk__52 @ sk__47 ) @ sk__53 )
    = sk__48 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl263,'8']) ).

thf(ax7,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( segmentP @ U @ V )
          <=> ? [W: $i] :
                ( ? [X: $i] :
                    ( ( ( app @ ( app @ W @ V ) @ X )
                      = U )
                    & ( ssList @ X ) )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ X3 @ X0 ) @ X1 )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl891,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ~ ( ssList @ sk__53 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ sk__52 )
      | ( segmentP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl21]) ).

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

thf(zip_derived_cl200,plain,
    ( ( nil = sk__49 )
    | ( ssList @ sk__53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ( ssList @ sk__53 )
   <= ( ssList @ sk__53 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf('9',plain,
    ( ( ssList @ sk__53 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf('10',plain,
    ssList @ sk__53,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','9']) ).

thf(zip_derived_cl437,plain,
    ssList @ sk__53,
    inference(simpl_trail,[status(thm)],[zip_derived_cl226,'10']) ).

thf(zip_derived_cl216,plain,
    ( ( ssList @ sk__52 )
   <= ( ssList @ sk__52 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('11',plain,
    ( ( ssList @ sk__52 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('12',plain,
    ssList @ sk__52,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','11']) ).

thf(zip_derived_cl434,plain,
    ssList @ sk__52,
    inference(simpl_trail,[status(thm)],[zip_derived_cl216,'12']) ).

thf(zip_derived_cl905,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl190,zip_derived_cl437,zip_derived_cl434]) ).

thf(zip_derived_cl212_008,plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
   <= ~ ( segmentP @ sk__48 @ sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl201,plain,
    ( ( nil = sk__49 )
    | ( ssItem @ sk__51 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf('14',plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl253_009,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__47 )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl194]) ).

thf(ax4,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( singletonP @ U )
      <=> ? [V: $i] :
            ( ( ( cons @ V @ nil )
              = U )
            & ( ssItem @ V ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ nil )
       != X0 )
      | ~ ( ssItem @ X1 )
      | ( singletonP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl321,plain,
    ( ! [X0: $i] :
        ( ( sk__47 != X0 )
        | ~ ( ssItem @ sk__51 )
        | ( singletonP @ X0 )
        | ~ ( ssList @ X0 ) )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl9]) ).

thf('15',plain,
    ( ! [X0: $i] :
        ( ( singletonP @ X0 )
        | ~ ( ssList @ X0 )
        | ( sk__47 != X0 ) )
    | ( ( cons @ sk__51 @ nil )
     != sk__49 )
    | ~ ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl321]) ).

thf(zip_derived_cl328,plain,
    ( ! [X0: $i] :
        ( ( singletonP @ X0 )
        | ~ ( ssList @ X0 )
        | ( sk__47 != X0 ) )
   <= ! [X0: $i] :
        ( ( singletonP @ X0 )
        | ~ ( ssList @ X0 )
        | ( sk__47 != X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl321]) ).

thf(zip_derived_cl213,plain,
    ( ~ ( singletonP @ sk__47 )
   <= ~ ( singletonP @ sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl331,plain,
    ( ( ( sk__47 != sk__47 )
      | ~ ( ssList @ sk__47 ) )
   <= ( ~ ( singletonP @ sk__47 )
      & ! [X0: $i] :
          ( ( singletonP @ X0 )
          | ~ ( ssList @ X0 )
          | ( sk__47 != X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl213]) ).

thf(zip_derived_cl190_010,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ( sk__47 != sk__47 )
   <= ( ~ ( singletonP @ sk__47 )
      & ! [X0: $i] :
          ( ( singletonP @ X0 )
          | ~ ( ssList @ X0 )
          | ( sk__47 != X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl190]) ).

thf('16',plain,
    ( ( singletonP @ sk__47 )
    | ~ ! [X0: $i] :
          ( ( singletonP @ X0 )
          | ~ ( ssList @ X0 )
          | ( sk__47 != X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl333]) ).

thf('17',plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
    | ~ ( singletonP @ sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf('18',plain,
    ~ ( segmentP @ sk__48 @ sk__47 ),
    inference('sat_resolution*',[status(thm)],['13','0','1','2','3','4','5','6','14','15','16','17']) ).

thf(zip_derived_cl433,plain,
    ~ ( segmentP @ sk__48 @ sk__47 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl212,'18']) ).

thf(zip_derived_cl1376,plain,
    ( ~ ( ssList @ sk__48 )
    | ( sk__48 != sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl905,zip_derived_cl433]) ).

thf(zip_derived_cl270_011,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl209]) ).

thf(zip_derived_cl1381,plain,
    sk__48 != sk__48,
    inference(demod,[status(thm)],[zip_derived_cl1376,zip_derived_cl270]) ).

thf(zip_derived_cl1382,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1381]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC389+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t3uWkYVNzn true
% 0.16/0.35  % Computer : n008.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Aug 28 17:28:17 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.16/0.35  % Running portfolio for 300 s
% 0.16/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.36  % Python version: Python 3.6.8
% 0.16/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.34/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.34/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.34/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.40/1.01  % Solved by fo/fo1_av.sh.
% 1.40/1.01  % done 530 iterations in 0.231s
% 1.40/1.01  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/1.01  % SZS output start Refutation
% See solution above
% 1.40/1.01  
% 1.40/1.01  
% 1.40/1.01  % Terminating...
% 1.66/1.05  % Runner terminated.
% 1.66/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------