TSTP Solution File: SWC315+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC315+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.lFxP4YetuP true

% Computer : n015.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 21:30:42 EDT 2023

% Result   : Theorem 1.30s 1.08s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  135 (  32 unt;  16 typ;   0 def)
%            Number of atoms       :  294 ( 162 equ;   0 cnn)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  606 ( 103   ~; 148   |;   6   &; 328   @)
%                                         (   1 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;  10 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  50   !;   0   ?;  50   :)

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

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

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

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

thf(hd_type,type,
    hd: $i > $i ).

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

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

thf(tl_type,type,
    tl: $i > $i ).

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

thf(sk__54_type,type,
    sk__54: $i ).

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

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

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

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

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

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

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

thf(zip_derived_cl193,plain,
    ( ( nil != sk__47 )
    | ( ( app @ ( cons @ sk__53 @ nil ) @ sk__54 )
      = sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl197,plain,
    ( ( nil = sk__48 )
    | ( ( app @ ( cons @ sk__53 @ nil ) @ sk__54 )
      = sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl825,plain,
    ( ( nil = sk__48 )
    | ~ ( ssItem @ sk__53 )
    | ( ( cons @ sk__53 @ sk__54 )
      = sk__48 )
    | ~ ( ssList @ sk__54 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl171]) ).

thf(zip_derived_cl199,plain,
    ( ( nil = sk__48 )
    | ( ssItem @ sk__53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1104,plain,
    ( ~ ( ssList @ sk__54 )
    | ( ( cons @ sk__53 @ sk__54 )
      = sk__48 )
    | ( nil = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl825,zip_derived_cl199]) ).

thf(zip_derived_cl196,plain,
    ( ( nil = sk__48 )
    | ( ssList @ sk__54 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1105,plain,
    ( ( nil = sk__48 )
    | ( ( cons @ sk__53 @ sk__54 )
      = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1104,zip_derived_cl196]) ).

thf(ax25,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( tl @ ( cons @ V @ U ) )
            = U ) ) ) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( tl @ ( cons @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax25]) ).

thf(zip_derived_cl1111,plain,
    ( ( nil = sk__48 )
    | ~ ( ssItem @ sk__53 )
    | ( ( tl @ sk__48 )
      = sk__54 )
    | ~ ( ssList @ sk__54 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1105,zip_derived_cl94]) ).

thf(zip_derived_cl199_001,plain,
    ( ( nil = sk__48 )
    | ( ssItem @ sk__53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1475,plain,
    ( ~ ( ssList @ sk__54 )
    | ( ( tl @ sk__48 )
      = sk__54 )
    | ( nil = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1111,zip_derived_cl199]) ).

thf(zip_derived_cl196_002,plain,
    ( ( nil = sk__48 )
    | ( ssList @ sk__54 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1476,plain,
    ( ( nil = sk__48 )
    | ( ( tl @ sk__48 )
      = sk__54 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1475,zip_derived_cl196]) ).

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

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl202,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206_003,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ~ ( neq @ sk__48 @ nil )
    | ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl206,zip_derived_cl206]) ).

thf(zip_derived_cl469,plain,
    ( ~ ( ssList @ sk__48 )
    | ( sk__48 = nil )
    | ~ ( ssList @ nil )
    | ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl214]) ).

thf(zip_derived_cl207,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206_004,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl475,plain,
    ( ( sk__48 = nil )
    | ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl171_005,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_cl824,plain,
    ( ( sk__48 = nil )
    | ~ ( ssItem @ sk__51 )
    | ( ( cons @ sk__51 @ sk__52 )
      = sk__48 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl475,zip_derived_cl171]) ).

thf(zip_derived_cl81_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl204,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ssItem @ sk__51 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206_007,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl213,plain,
    ( ~ ( neq @ sk__48 @ nil )
    | ( ssItem @ sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl206]) ).

thf(zip_derived_cl468,plain,
    ( ~ ( ssList @ sk__48 )
    | ( sk__48 = nil )
    | ~ ( ssList @ nil )
    | ( ssItem @ sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl213]) ).

thf(zip_derived_cl210_008,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).

thf(zip_derived_cl83_009,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl474,plain,
    ( ( sk__48 = nil )
    | ( ssItem @ sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl468,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl880,plain,
    ( ~ ( ssList @ sk__52 )
    | ( ( cons @ sk__51 @ sk__52 )
      = sk__48 )
    | ( sk__48 = nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl824,zip_derived_cl474]) ).

thf(zip_derived_cl81_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl201,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ssList @ sk__52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206_011,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ~ ( neq @ sk__48 @ nil )
    | ( ssList @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl206]) ).

thf(zip_derived_cl467,plain,
    ( ~ ( ssList @ sk__48 )
    | ( sk__48 = nil )
    | ~ ( ssList @ nil )
    | ( ssList @ sk__52 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl212]) ).

thf(zip_derived_cl210_012,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).

thf(zip_derived_cl83_013,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl473,plain,
    ( ( sk__48 = nil )
    | ( ssList @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl881,plain,
    ( ( sk__48 = nil )
    | ( ( cons @ sk__51 @ sk__52 )
      = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl880,zip_derived_cl473]) ).

thf(zip_derived_cl94_014,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( tl @ ( cons @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax25]) ).

thf(zip_derived_cl887,plain,
    ( ( sk__48 = nil )
    | ~ ( ssItem @ sk__51 )
    | ( ( tl @ sk__48 )
      = sk__52 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl881,zip_derived_cl94]) ).

thf(zip_derived_cl474_015,plain,
    ( ( sk__48 = nil )
    | ( ssItem @ sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl468,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl996,plain,
    ( ~ ( ssList @ sk__52 )
    | ( ( tl @ sk__48 )
      = sk__52 )
    | ( sk__48 = nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl887,zip_derived_cl474]) ).

thf(zip_derived_cl473_016,plain,
    ( ( sk__48 = nil )
    | ( ssList @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl997,plain,
    ( ( sk__48 = nil )
    | ( ( tl @ sk__48 )
      = sk__52 ) ),
    inference(clc,[status(thm)],[zip_derived_cl996,zip_derived_cl473]) ).

thf(zip_derived_cl1481,plain,
    ( ( nil = sk__48 )
    | ( sk__48 = nil )
    | ( sk__54 = sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1476,zip_derived_cl997]) ).

thf(zip_derived_cl1489,plain,
    ( ( sk__54 = sk__52 )
    | ( nil = sk__48 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1481]) ).

thf(zip_derived_cl1105_017,plain,
    ( ( nil = sk__48 )
    | ( ( cons @ sk__53 @ sk__54 )
      = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1104,zip_derived_cl196]) ).

thf(ax23,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( hd @ ( cons @ V @ U ) )
            = V ) ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( hd @ ( cons @ X0 @ X1 ) )
        = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax23]) ).

thf(zip_derived_cl1110,plain,
    ( ( nil = sk__48 )
    | ~ ( ssItem @ sk__53 )
    | ( ( hd @ sk__48 )
      = sk__53 )
    | ~ ( ssList @ sk__54 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1105,zip_derived_cl92]) ).

thf(zip_derived_cl199_018,plain,
    ( ( nil = sk__48 )
    | ( ssItem @ sk__53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1172,plain,
    ( ~ ( ssList @ sk__54 )
    | ( ( hd @ sk__48 )
      = sk__53 )
    | ( nil = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1110,zip_derived_cl199]) ).

thf(zip_derived_cl196_019,plain,
    ( ( nil = sk__48 )
    | ( ssList @ sk__54 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1173,plain,
    ( ( nil = sk__48 )
    | ( ( hd @ sk__48 )
      = sk__53 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1172,zip_derived_cl196]) ).

thf(zip_derived_cl881_020,plain,
    ( ( sk__48 = nil )
    | ( ( cons @ sk__51 @ sk__52 )
      = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl880,zip_derived_cl473]) ).

thf(zip_derived_cl92_021,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( hd @ ( cons @ X0 @ X1 ) )
        = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax23]) ).

thf(zip_derived_cl886,plain,
    ( ( sk__48 = nil )
    | ~ ( ssItem @ sk__51 )
    | ( ( hd @ sk__48 )
      = sk__51 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl881,zip_derived_cl92]) ).

thf(zip_derived_cl474_022,plain,
    ( ( sk__48 = nil )
    | ( ssItem @ sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl468,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl931,plain,
    ( ~ ( ssList @ sk__52 )
    | ( ( hd @ sk__48 )
      = sk__51 )
    | ( sk__48 = nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl886,zip_derived_cl474]) ).

thf(zip_derived_cl473_023,plain,
    ( ( sk__48 = nil )
    | ( ssList @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl932,plain,
    ( ( sk__48 = nil )
    | ( ( hd @ sk__48 )
      = sk__51 ) ),
    inference(clc,[status(thm)],[zip_derived_cl931,zip_derived_cl473]) ).

thf(zip_derived_cl1176,plain,
    ( ( nil = sk__48 )
    | ( sk__48 = nil )
    | ( sk__53 = sk__51 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1173,zip_derived_cl932]) ).

thf(zip_derived_cl1182,plain,
    ( ( sk__53 = sk__51 )
    | ( nil = sk__48 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1176]) ).

thf(zip_derived_cl198,plain,
    ( ( nil = sk__48 )
    | ( ( app @ sk__54 @ ( cons @ sk__53 @ nil ) )
     != sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1187,plain,
    ( ( nil = sk__48 )
    | ( nil = sk__48 )
    | ( ( app @ sk__54 @ ( cons @ sk__51 @ nil ) )
     != sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl198]) ).

thf(zip_derived_cl1191,plain,
    ( ( ( app @ sk__54 @ ( cons @ sk__51 @ nil ) )
     != sk__47 )
    | ( nil = sk__48 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1187]) ).

thf(zip_derived_cl1502,plain,
    ( ( nil = sk__48 )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
     != sk__47 )
    | ( nil = sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl1191]) ).

thf(zip_derived_cl1514,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
     != sk__47 )
    | ( nil = sk__48 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1502]) ).

thf(zip_derived_cl81_024,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl203,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206_025,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ( ~ ( neq @ sk__48 @ nil )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl206,zip_derived_cl200]) ).

thf(zip_derived_cl470,plain,
    ( ~ ( ssList @ sk__48 )
    | ( sk__48 = nil )
    | ~ ( ssList @ nil )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl215]) ).

thf(zip_derived_cl210_026,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).

thf(zip_derived_cl83_027,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl476,plain,
    ( ( sk__48 = nil )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl210,zip_derived_cl83]) ).

thf(zip_derived_cl1546,plain,
    nil = sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1514,zip_derived_cl476]) ).

thf(zip_derived_cl1547,plain,
    ( ( nil != sk__47 )
    | ( ( app @ ( cons @ sk__53 @ nil ) @ sk__54 )
      = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl1546]) ).

thf(zip_derived_cl205,plain,
    ( ( nil != sk__50 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206_028,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200_029,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl211,plain,
    ( ( nil != sk__48 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl206,zip_derived_cl200]) ).

thf(zip_derived_cl1546_030,plain,
    nil = sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1514,zip_derived_cl476]) ).

thf(zip_derived_cl1550,plain,
    ( ( nil != nil )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl1546]) ).

thf(zip_derived_cl1551,plain,
    nil = sk__47,
    inference(simplify,[status(thm)],[zip_derived_cl1550]) ).

thf(zip_derived_cl1585,plain,
    ( ( nil != nil )
    | ( ( app @ ( cons @ sk__53 @ nil ) @ sk__54 )
      = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1547,zip_derived_cl1551]) ).

thf(zip_derived_cl1586,plain,
    ( ( app @ ( cons @ sk__53 @ nil ) @ sk__54 )
    = nil ),
    inference(simplify,[status(thm)],[zip_derived_cl1585]) ).

thf(zip_derived_cl171_031,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_cl1599,plain,
    ( ~ ( ssItem @ sk__53 )
    | ( ( cons @ sk__53 @ sk__54 )
      = nil )
    | ~ ( ssList @ sk__54 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1586,zip_derived_cl171]) ).

thf(zip_derived_cl195,plain,
    ( ( nil != sk__47 )
    | ( ssItem @ sk__53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1551_032,plain,
    nil = sk__47,
    inference(simplify,[status(thm)],[zip_derived_cl1550]) ).

thf(zip_derived_cl1561,plain,
    ( ( nil != nil )
    | ( ssItem @ sk__53 ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl1551]) ).

thf(zip_derived_cl1562,plain,
    ssItem @ sk__53,
    inference(simplify,[status(thm)],[zip_derived_cl1561]) ).

thf(zip_derived_cl192,plain,
    ( ( nil != sk__47 )
    | ( ssList @ sk__54 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1551_033,plain,
    nil = sk__47,
    inference(simplify,[status(thm)],[zip_derived_cl1550]) ).

thf(zip_derived_cl1557,plain,
    ( ( nil != nil )
    | ( ssList @ sk__54 ) ),
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl1551]) ).

thf(zip_derived_cl1558,plain,
    ssList @ sk__54,
    inference(simplify,[status(thm)],[zip_derived_cl1557]) ).

thf(zip_derived_cl1614,plain,
    ( ( cons @ sk__53 @ sk__54 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl1599,zip_derived_cl1562,zip_derived_cl1558]) ).

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_cl1618,plain,
    ( ~ ( ssItem @ sk__53 )
    | ( nil != nil )
    | ~ ( ssList @ sk__54 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1614,zip_derived_cl90]) ).

thf(zip_derived_cl1562_034,plain,
    ssItem @ sk__53,
    inference(simplify,[status(thm)],[zip_derived_cl1561]) ).

thf(zip_derived_cl1558_035,plain,
    ssList @ sk__54,
    inference(simplify,[status(thm)],[zip_derived_cl1557]) ).

thf(zip_derived_cl1642,plain,
    nil != nil,
    inference(demod,[status(thm)],[zip_derived_cl1618,zip_derived_cl1562,zip_derived_cl1558]) ).

thf(zip_derived_cl1643,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1642]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC315+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lFxP4YetuP true
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 17:50:10 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.83/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.83/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.83/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.08  % Solved by fo/fo13.sh.
% 1.30/1.08  % done 355 iterations in 0.317s
% 1.30/1.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/1.08  % SZS output start Refutation
% See solution above
% 1.30/1.08  
% 1.30/1.08  
% 1.30/1.09  % Terminating...
% 1.64/1.16  % Runner terminated.
% 1.64/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------