TSTP Solution File: SWC109+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC109+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.YYCrizlUVz true

% Computer : n009.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 21:29:13 EDT 2023

% Result   : Theorem 0.94s 0.88s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  117 (  36 unt;  16 typ;   0 def)
%            Number of atoms       :  280 ( 133 equ;   0 cnn)
%            Maximal formula atoms :   24 (   2 avg)
%            Number of connectives :  577 ( 143   ~; 138   |;  17   &; 255   @)
%                                         (   3 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :   52 (   0   ^;  46   !;   6   ?;  52   :)

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

thf(sk__21_type,type,
    sk__21: $i ).

thf(sk__25_type,type,
    sk__25: $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__22_type,type,
    sk__22: $i ).

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

thf(sk__23_type,type,
    sk__23: $i ).

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

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

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

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

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(sk__19_type,type,
    sk__19: $i ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( ( ( segmentP @ V @ U )
                        & ( neq @ U @ nil ) )
                      | ~ ( neq @ V @ nil ) )
                    & ( ( nil = U )
                      | ( nil != V ) ) )
                  | ( ( ( 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] :
                    ( ( ( ( ( segmentP @ V @ U )
                          & ( neq @ U @ nil ) )
                        | ~ ( neq @ V @ nil ) )
                      & ( ( nil = U )
                        | ( nil != V ) ) )
                    | ( ( ( 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_cl109,plain,
    ( ( nil = sk__21 )
    | ( ssList @ sk__25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl885,plain,
    ( ( nil = sk__19 )
    | ( ssList @ sk__25 ) ),
    inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl103]) ).

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

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl100,plain,
    ( ~ ( neq @ sk__19 @ nil )
    | ~ ( segmentP @ sk__20 @ sk__19 )
    | ( nil = sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl865,plain,
    ( ~ ( ssList @ sk__19 )
    | ( sk__19 = nil )
    | ~ ( ssList @ nil )
    | ( nil = sk__20 )
    | ~ ( segmentP @ sk__20 @ sk__19 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl100]) ).

thf(zip_derived_cl97,plain,
    ssList @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl32,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1254,plain,
    ( ( sk__19 = nil )
    | ( nil = sk__20 )
    | ~ ( segmentP @ sk__20 @ sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl865,zip_derived_cl97,zip_derived_cl32]) ).

thf(zip_derived_cl104,plain,
    ( ( nil = sk__21 )
    | ( ssList @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_001,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl884,plain,
    ( ( nil = sk__19 )
    | ( ssList @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).

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

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl884_002,plain,
    ( ( nil = sk__19 )
    | ( ssList @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).

thf(zip_derived_cl885_003,plain,
    ( ( nil = sk__19 )
    | ( ssList @ sk__25 ) ),
    inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl103]) ).

thf(zip_derived_cl108,plain,
    ( ( nil = sk__21 )
    | ( ( app @ ( app @ sk__24 @ sk__21 ) @ sk__25 )
      = sk__22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_004,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_005,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    sk__20 = sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006,plain,
    ( ( nil = sk__19 )
    | ( ( app @ ( app @ sk__24 @ sk__19 ) @ sk__25 )
      = sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl103,zip_derived_cl103,zip_derived_cl118]) ).

thf(zip_derived_cl113,plain,
    ( ( nil = sk__22 )
    | ( ( cons @ sk__23 @ nil )
      = sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_006,plain,
    sk__20 = sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_007,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl910,plain,
    ( ( nil = sk__20 )
    | ( ( cons @ sk__23 @ nil )
      = sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl118,zip_derived_cl103]) ).

thf(ax18,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( cons @ V @ U )
           != U ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
       != X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax18]) ).

thf(zip_derived_cl911,plain,
    ( ( sk__19 != nil )
    | ( nil = sk__20 )
    | ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__23 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl910,zip_derived_cl33]) ).

thf(zip_derived_cl32_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl913,plain,
    ( ( sk__19 != nil )
    | ( nil = sk__20 )
    | ~ ( ssItem @ sk__23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl911,zip_derived_cl32]) ).

thf(zip_derived_cl101,plain,
    ( ( neq @ sk__20 @ nil )
    | ( nil != sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl867,plain,
    ( ( nil != sk__19 )
    | ~ ( ssList @ sk__20 )
    | ( sk__20 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl101,zip_derived_cl29]) ).

thf(zip_derived_cl891,plain,
    ( ( nil != sk__19 )
    | ( sk__20 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl867]) ).

thf(zip_derived_cl32_009,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl892,plain,
    ( ( nil != sk__19 )
    | ( sk__20 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl32]) ).

thf(zip_derived_cl915,plain,
    ( ~ ( ssItem @ sk__23 )
    | ( sk__19 != nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl913,zip_derived_cl892]) ).

thf(zip_derived_cl117,plain,
    ( ( nil = sk__22 )
    | ( ssItem @ sk__23 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_010,plain,
    sk__20 = sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl889,plain,
    ( ( nil = sk__20 )
    | ( ssItem @ sk__23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl118]) ).

thf(zip_derived_cl917,plain,
    ( ( sk__19 != nil )
    | ( nil = sk__20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl915,zip_derived_cl889]) ).

thf(zip_derived_cl892_011,plain,
    ( ( nil != sk__19 )
    | ( sk__20 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl32]) ).

thf(zip_derived_cl922,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl1007,plain,
    ( ( app @ ( app @ sk__24 @ sk__19 ) @ sk__25 )
    = sk__20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1006,zip_derived_cl922]) ).

thf(ax83,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( nil
              = ( app @ U @ V ) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl1008,plain,
    ( ( nil != sk__20 )
    | ~ ( ssList @ ( app @ sk__24 @ sk__19 ) )
    | ( nil = sk__25 )
    | ~ ( ssList @ sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1007,zip_derived_cl86]) ).

thf(zip_derived_cl42_012,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl1083,plain,
    ( ~ ( ssList @ sk__25 )
    | ( nil = sk__25 )
    | ( nil != sk__20 )
    | ~ ( ssList @ sk__24 )
    | ~ ( ssList @ sk__19 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1008,zip_derived_cl42]) ).

thf(zip_derived_cl97_013,plain,
    ssList @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1090,plain,
    ( ~ ( ssList @ sk__25 )
    | ( nil = sk__25 )
    | ( nil != sk__20 )
    | ~ ( ssList @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1083,zip_derived_cl97]) ).

thf(zip_derived_cl1100,plain,
    ( ( nil = sk__19 )
    | ~ ( ssList @ sk__24 )
    | ( nil != sk__20 )
    | ( nil = sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl1090]) ).

thf(zip_derived_cl922_014,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl1102,plain,
    ( ~ ( ssList @ sk__24 )
    | ( nil != sk__20 )
    | ( nil = sk__25 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1100,zip_derived_cl922]) ).

thf(zip_derived_cl1108,plain,
    ( ( nil = sk__19 )
    | ( nil = sk__25 )
    | ( nil != sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl884,zip_derived_cl1102]) ).

thf(zip_derived_cl922_015,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl1110,plain,
    ( ( nil = sk__25 )
    | ( nil != sk__20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1108,zip_derived_cl922]) ).

thf(zip_derived_cl1007_016,plain,
    ( ( app @ ( app @ sk__24 @ sk__19 ) @ sk__25 )
    = sk__20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1006,zip_derived_cl922]) ).

thf(zip_derived_cl1116,plain,
    ( ( ( app @ ( app @ sk__24 @ sk__19 ) @ nil )
      = sk__20 )
    | ( nil != sk__20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1110,zip_derived_cl1007]) ).

thf(zip_derived_cl1119,plain,
    ( ( ( app @ ( app @ sk__24 @ sk__19 ) @ nil )
      = nil )
    | ( nil != sk__20 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1116]) ).

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl1126,plain,
    ( ( nil
      = ( app @ sk__24 @ sk__19 ) )
    | ( nil != sk__20 )
    | ~ ( ssList @ ( app @ sk__24 @ sk__19 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1119,zip_derived_cl89]) ).

thf(zip_derived_cl1154,plain,
    ( ~ ( ssList @ sk__24 )
    | ~ ( ssList @ sk__19 )
    | ( nil != sk__20 )
    | ( nil
      = ( app @ sk__24 @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1126]) ).

thf(zip_derived_cl97_017,plain,
    ssList @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1156,plain,
    ( ~ ( ssList @ sk__24 )
    | ( nil != sk__20 )
    | ( nil
      = ( app @ sk__24 @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1154,zip_derived_cl97]) ).

thf(zip_derived_cl86_018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl1172,plain,
    ( ( nil != nil )
    | ( nil != sk__20 )
    | ~ ( ssList @ sk__24 )
    | ~ ( ssList @ sk__24 )
    | ( nil = sk__19 )
    | ~ ( ssList @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1156,zip_derived_cl86]) ).

thf(zip_derived_cl97_019,plain,
    ssList @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182,plain,
    ( ( nil != nil )
    | ( nil != sk__20 )
    | ~ ( ssList @ sk__24 )
    | ~ ( ssList @ sk__24 )
    | ( nil = sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1172,zip_derived_cl97]) ).

thf(zip_derived_cl1183,plain,
    ( ( nil = sk__19 )
    | ~ ( ssList @ sk__24 )
    | ( nil != sk__20 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1182]) ).

thf(zip_derived_cl922_020,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl1184,plain,
    ( ~ ( ssList @ sk__24 )
    | ( nil != sk__20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1183,zip_derived_cl922]) ).

thf(zip_derived_cl1205,plain,
    ( ( nil = sk__19 )
    | ( nil != sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl884,zip_derived_cl1184]) ).

thf(zip_derived_cl922_021,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl1207,plain,
    nil != sk__20,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1205,zip_derived_cl922]) ).

thf(zip_derived_cl922_022,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl1255,plain,
    ~ ( segmentP @ sk__20 @ sk__19 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1254,zip_derived_cl1207,zip_derived_cl922]) ).

thf(zip_derived_cl1007_023,plain,
    ( ( app @ ( app @ sk__24 @ sk__19 ) @ sk__25 )
    = sk__20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1006,zip_derived_cl922]) ).

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_cl12,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_cl1064,plain,
    ! [X0: $i] :
      ( ( sk__20 != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__19 )
      | ~ ( ssList @ sk__24 )
      | ~ ( ssList @ sk__25 )
      | ~ ( ssList @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1007,zip_derived_cl12]) ).

thf(zip_derived_cl97_024,plain,
    ssList @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1076,plain,
    ! [X0: $i] :
      ( ( sk__20 != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__19 )
      | ~ ( ssList @ sk__24 )
      | ~ ( ssList @ sk__25 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1064,zip_derived_cl97]) ).

thf(zip_derived_cl2267,plain,
    ( ~ ( ssList @ sk__25 )
    | ~ ( ssList @ sk__24 )
    | ~ ( ssList @ sk__20 )
    | ( sk__20 != sk__20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1255,zip_derived_cl1076]) ).

thf(zip_derived_cl119,plain,
    ssList @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_025,plain,
    sk__20 = sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl883,plain,
    ssList @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl118]) ).

thf(zip_derived_cl2270,plain,
    ( ~ ( ssList @ sk__25 )
    | ~ ( ssList @ sk__24 )
    | ( sk__20 != sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2267,zip_derived_cl883]) ).

thf(zip_derived_cl2271,plain,
    ( ~ ( ssList @ sk__24 )
    | ~ ( ssList @ sk__25 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2270]) ).

thf(zip_derived_cl2283,plain,
    ( ( nil = sk__19 )
    | ~ ( ssList @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl2271]) ).

thf(zip_derived_cl922_026,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl2285,plain,
    ~ ( ssList @ sk__24 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2283,zip_derived_cl922]) ).

thf(zip_derived_cl884_027,plain,
    ( ( nil = sk__19 )
    | ( ssList @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).

thf(zip_derived_cl922_028,plain,
    sk__19 != nil,
    inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl892]) ).

thf(zip_derived_cl2289,plain,
    ssList @ sk__24,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl884,zip_derived_cl922]) ).

thf(zip_derived_cl2302,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2285,zip_derived_cl2289]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC109+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YYCrizlUVz true
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 15:35:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.18/0.57  % Total configuration time : 435
% 0.18/0.57  % Estimated wc time : 1092
% 0.18/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.75/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.75/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.75/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.75/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.75/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.75/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.75/0.68  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.94/0.88  % Solved by fo/fo3_bce.sh.
% 0.94/0.88  % BCE start: 121
% 0.94/0.88  % BCE eliminated: 2
% 0.94/0.88  % PE start: 119
% 0.94/0.88  logic: eq
% 0.94/0.88  % PE eliminated: 2
% 0.94/0.88  % done 281 iterations in 0.187s
% 0.94/0.88  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.94/0.88  % SZS output start Refutation
% See solution above
% 0.94/0.88  
% 0.94/0.88  
% 0.94/0.88  % Terminating...
% 1.26/1.09  % Runner terminated.
% 1.26/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------