TSTP Solution File: SWC083+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC083+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.BTIBxCKIR2 true

% Computer : n016.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 21:29:01 EDT 2023

% Result   : Theorem 4.60s 1.24s
% Output   : Refutation 4.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  125 (  44 unt;  14 typ;   0 def)
%            Number of atoms       :  343 (  82 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  898 ( 210   ~; 199   |;   9   &; 456   @)
%                                         (   3 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :  117 (   0   ^; 112   !;   5   ?; 117   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__52_type,type,
    sk__52: $i ).

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

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

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

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

thf(rearsegP_type,type,
    rearsegP: $i > $i > $o ).

thf(sk__53_type,type,
    sk__53: $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(sk__6_type,type,
    sk__6: $i > $i > $i ).

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

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

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

thf(zip_derived_cl197,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ sk__53 )
    = sk__49 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1572,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ sk__53 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl194]) ).

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

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl198,plain,
    ( ( app @ sk__51 @ sk__53 )
    = sk__50 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1552,plain,
    ( ( app @ sk__51 @ sk__53 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl200]) ).

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_cl1678,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ sk__53 )
      | ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ~ ( ssList @ sk__51 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl21]) ).

thf(zip_derived_cl196,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1690,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl196,zip_derived_cl195]) ).

thf(zip_derived_cl1822,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__48 )
      | ~ ( ssList @ nil )
      | ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl1690]) ).

thf(zip_derived_cl201,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1551,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl1827,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1822,zip_derived_cl1551,zip_derived_cl83]) ).

thf(zip_derived_cl95_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl1572_003,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ sk__53 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl194]) ).

thf(ax6,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( rearsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ W @ V )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X2 @ X0 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl1632,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__53 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ ( app @ sk__51 @ sk__52 ) )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1572,zip_derived_cl17]) ).

thf(zip_derived_cl196_004,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1641,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ~ ( ssList @ ( app @ sk__51 @ sk__52 ) )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1632,zip_derived_cl196]) ).

thf(zip_derived_cl1782,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__51 )
      | ~ ( ssList @ sk__52 )
      | ( sk__47 != X0 )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1641]) ).

thf(zip_derived_cl195_005,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    ssList @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1804,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl195,zip_derived_cl199]) ).

thf(zip_derived_cl176_006,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ( app @ ( sk__6 @ X0 @ X1 ) @ X0 )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl21_007,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_cl1677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X0 @ X3 )
      | ~ ( ssList @ X3 )
      | ~ ( ssList @ X3 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ ( sk__6 @ X3 @ X0 ) )
      | ( segmentP @ X1 @ X3 )
      | ~ ( ssList @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).

thf(zip_derived_cl1689,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X3 )
      | ~ ( ssList @ ( sk__6 @ X3 @ X0 ) )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X3 )
      | ~ ( rearsegP @ X0 @ X3 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1677]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ssList @ ( sk__6 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl1882,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X0 @ X3 )
      | ~ ( ssList @ X3 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ( segmentP @ X1 @ X3 )
      | ~ ( ssList @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1689,zip_derived_cl16]) ).

thf(zip_derived_cl1884,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X0 @ X2 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ nil )
      | ( X0 != X1 )
      | ( segmentP @ X1 @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl1882]) ).

thf(zip_derived_cl83_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1896,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X0 @ X2 )
      | ~ ( ssList @ X2 )
      | ( X0 != X1 )
      | ( segmentP @ X1 @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1884,zip_derived_cl83]) ).

thf(zip_derived_cl1897,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X2 )
      | ( X0 != X1 )
      | ~ ( ssList @ X2 )
      | ~ ( rearsegP @ X0 @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1896]) ).

thf(zip_derived_cl1925,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X0 @ X1 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X0 @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1897]) ).

thf(zip_derived_cl1926,plain,
    ! [X0: $i,X1: $i] :
      ( ( segmentP @ X0 @ X1 )
      | ~ ( ssList @ X1 )
      | ~ ( rearsegP @ X0 @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1925]) ).

thf(zip_derived_cl2097,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__47 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1804,zip_derived_cl1926]) ).

thf(zip_derived_cl196_009,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2102,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__47 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2097,zip_derived_cl196]) ).

thf(zip_derived_cl2103,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ sk__53 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2102]) ).

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_cl192,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1497,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( segmentP @ sk__47 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl192]) ).

thf(zip_derived_cl2158,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( ssList @ nil )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1497]) ).

thf(zip_derived_cl83_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl2159,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2158,zip_derived_cl83]) ).

thf(zip_derived_cl2166,plain,
    ( ~ ( ssList @ sk__47 )
    | ( sk__47 != sk__47 )
    | ~ ( segmentP @ sk__48 @ sk__53 )
    | ( sk__53 = nil )
    | ~ ( ssList @ sk__53 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2103,zip_derived_cl2159]) ).

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

thf(zip_derived_cl196_011,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2175,plain,
    ( ( sk__47 != sk__47 )
    | ~ ( segmentP @ sk__48 @ sk__53 )
    | ( sk__53 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl2166,zip_derived_cl190,zip_derived_cl196]) ).

thf(zip_derived_cl2176,plain,
    ( ( sk__53 = nil )
    | ~ ( segmentP @ sk__48 @ sk__53 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2175]) ).

thf(zip_derived_cl2228,plain,
    ( ~ ( ssList @ sk__48 )
    | ( sk__48 != sk__48 )
    | ( sk__53 = nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl2176]) ).

thf(zip_derived_cl1551_012,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl2231,plain,
    ( ( sk__48 != sk__48 )
    | ( sk__53 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl2228,zip_derived_cl1551]) ).

thf(zip_derived_cl2232,plain,
    sk__53 = nil,
    inference(simplify,[status(thm)],[zip_derived_cl2231]) ).

thf(zip_derived_cl2236,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ nil )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl1572,zip_derived_cl2232]) ).

thf(zip_derived_cl1552_013,plain,
    ( ( app @ sk__51 @ sk__53 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl200]) ).

thf(zip_derived_cl2232_014,plain,
    sk__53 = nil,
    inference(simplify,[status(thm)],[zip_derived_cl2231]) ).

thf(zip_derived_cl2235,plain,
    ( ( app @ sk__51 @ nil )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl1552,zip_derived_cl2232]) ).

thf(zip_derived_cl176_015,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl2322,plain,
    ( ( sk__48 = sk__51 )
    | ~ ( ssList @ sk__51 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2235,zip_derived_cl176]) ).

thf(zip_derived_cl195_016,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2340,plain,
    sk__48 = sk__51,
    inference(demod,[status(thm)],[zip_derived_cl2322,zip_derived_cl195]) ).

thf(zip_derived_cl2485,plain,
    ( ( app @ ( app @ sk__48 @ sk__52 ) @ nil )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl2236,zip_derived_cl2340]) ).

thf(zip_derived_cl176_017,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl2501,plain,
    ( ( sk__47
      = ( app @ sk__48 @ sk__52 ) )
    | ~ ( ssList @ ( app @ sk__48 @ sk__52 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2485,zip_derived_cl176]) ).

thf(zip_derived_cl2677,plain,
    ( ~ ( ssList @ sk__48 )
    | ~ ( ssList @ sk__52 )
    | ( sk__47
      = ( app @ sk__48 @ sk__52 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl2501]) ).

thf(zip_derived_cl1551_018,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl199_019,plain,
    ssList @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2679,plain,
    ( sk__47
    = ( app @ sk__48 @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2677,zip_derived_cl1551,zip_derived_cl199]) ).

thf(ax28,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ nil @ U )
        = U ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl21_020,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_cl1675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).

thf(zip_derived_cl83_021,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1675,zip_derived_cl83]) ).

thf(zip_derived_cl1688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1687]) ).

thf(zip_derived_cl2693,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ sk__52 )
      | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2679,zip_derived_cl1688]) ).

thf(zip_derived_cl199_022,plain,
    ssList @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1551_023,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl2709,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ( sk__47 != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2693,zip_derived_cl199,zip_derived_cl1551]) ).

thf(ax55,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( segmentP @ U @ U ) ) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

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

thf(zip_derived_cl192_024,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1502,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( nil != nil )
      | ~ ( ssList @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( segmentP @ sk__47 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl193,zip_derived_cl192]) ).

thf(zip_derived_cl1654,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( ssList @ X0 )
      | ( sk__48 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1502]) ).

thf(zip_derived_cl1655,plain,
    ( ~ ( ssList @ sk__48 )
    | ~ ( segmentP @ sk__48 @ sk__48 )
    | ~ ( segmentP @ sk__47 @ sk__48 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1654]) ).

thf(zip_derived_cl1551_025,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl1656,plain,
    ( ~ ( segmentP @ sk__48 @ sk__48 )
    | ~ ( segmentP @ sk__47 @ sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1655,zip_derived_cl1551]) ).

thf(zip_derived_cl1665,plain,
    ( ~ ( ssList @ sk__48 )
    | ~ ( segmentP @ sk__47 @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl1656]) ).

thf(zip_derived_cl1551_026,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl1666,plain,
    ~ ( segmentP @ sk__47 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl1665,zip_derived_cl1551]) ).

thf(zip_derived_cl3775,plain,
    ( ( sk__47 != sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2709,zip_derived_cl1666]) ).

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

thf(zip_derived_cl3789,plain,
    sk__47 != sk__47,
    inference(demod,[status(thm)],[zip_derived_cl3775,zip_derived_cl190]) ).

thf(zip_derived_cl3790,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl3789]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC083+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BTIBxCKIR2 true
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 17:47:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 4.60/1.24  % Solved by fo/fo6_bce.sh.
% 4.60/1.24  % BCE start: 203
% 4.60/1.24  % BCE eliminated: 2
% 4.60/1.24  % PE start: 201
% 4.60/1.24  logic: eq
% 4.60/1.24  % PE eliminated: 7
% 4.60/1.24  % done 439 iterations in 0.510s
% 4.60/1.24  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.60/1.24  % SZS output start Refutation
% See solution above
% 4.60/1.24  
% 4.60/1.24  
% 4.60/1.24  % Terminating...
% 5.18/1.36  % Runner terminated.
% 5.18/1.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------