TSTP Solution File: SWC075+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC075+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.4bh83kX5LI true

% Computer : n007.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 21:28:58 EDT 2023

% Result   : Theorem 0.57s 0.89s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  136 (  55 unt;  11 typ;   0 def)
%            Number of atoms       :  324 ( 131 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  704 ( 173   ~; 168   |;  11   &; 332   @)
%                                         (   3 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   82 (   0   ^;  78   !;   4   ?;  82   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

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

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

thf(sk__9_type,type,
    sk__9: $i ).

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(sk__8_type,type,
    sk__8: $i ).

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

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

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

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( nil = U )
                    & ( nil = V ) )
                  | ! [Z: $i] :
                      ( ( ssList @ Z )
                     => ! [X1: $i] :
                          ( ( ( app @ X1 @ Z )
                           != W )
                          | ( ( app @ Z @ X1 )
                           != X )
                          | ~ ( ssList @ X1 ) ) )
                  | ? [Y: $i] :
                      ( ( segmentP @ U @ Y )
                      & ( segmentP @ V @ Y )
                      & ( neq @ Y @ nil )
                      & ( ssList @ Y ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( nil = U )
                      & ( nil = V ) )
                    | ! [Z: $i] :
                        ( ( ssList @ Z )
                       => ! [X1: $i] :
                            ( ( ( app @ X1 @ Z )
                             != W )
                            | ( ( app @ Z @ X1 )
                             != X )
                            | ~ ( ssList @ X1 ) ) )
                    | ? [Y: $i] :
                        ( ( segmentP @ U @ Y )
                        & ( segmentP @ V @ Y )
                        & ( neq @ Y @ nil )
                        & ( ssList @ Y ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl45,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl279,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

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_cl8,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_cl404,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__7 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ sk__10 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl8]) ).

thf(zip_derived_cl43,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__7 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl404,zip_derived_cl43,zip_derived_cl46]) ).

thf(zip_derived_cl469,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ sk__7 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl415]) ).

thf(zip_derived_cl48,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl269,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl12,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl471,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl269,zip_derived_cl12]) ).

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

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl267,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( segmentP @ sk__6 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl41]) ).

thf(zip_derived_cl1206,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( ssList @ nil )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl267]) ).

thf(zip_derived_cl12_002,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1207,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1206,zip_derived_cl12]) ).

thf(zip_derived_cl1218,plain,
    ( ~ ( ssList @ sk__7 )
    | ( sk__7 != sk__7 )
    | ~ ( ssList @ sk__11 )
    | ( sk__11 = nil )
    | ~ ( segmentP @ sk__6 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl1207]) ).

thf(zip_derived_cl269_003,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(zip_derived_cl46_004,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1226,plain,
    ( ( sk__7 != sk__7 )
    | ( sk__11 = nil )
    | ~ ( segmentP @ sk__6 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1218,zip_derived_cl269,zip_derived_cl46]) ).

thf(zip_derived_cl1227,plain,
    ( ~ ( segmentP @ sk__6 @ sk__11 )
    | ( sk__11 = nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1226]) ).

thf(zip_derived_cl44,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl37_005,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl274_006,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl8_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_cl406,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__6 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ sk__11 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl8]) ).

thf(zip_derived_cl46_008,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_009,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl417,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__6 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl46,zip_derived_cl43]) ).

thf(zip_derived_cl534,plain,
    ! [X0: $i] :
      ( ( sk__6 != X0 )
      | ~ ( ssList @ sk__6 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl417]) ).

thf(zip_derived_cl38,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i] :
      ( ( sk__6 != X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl38,zip_derived_cl12]) ).

thf(zip_derived_cl1207_011,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1206,zip_derived_cl12]) ).

thf(zip_derived_cl279_012,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

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

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl8_013,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_cl402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl8]) ).

thf(zip_derived_cl12_014,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl402,zip_derived_cl12]) ).

thf(zip_derived_cl413,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X2 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl412]) ).

thf(zip_derived_cl1660,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ sk__10 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl413]) ).

thf(zip_derived_cl43_015,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_016,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1671,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1660,zip_derived_cl43,zip_derived_cl46]) ).

thf(zip_derived_cl1682,plain,
    ( ~ ( ssList @ sk__10 )
    | ( sk__10 = nil )
    | ~ ( segmentP @ sk__6 @ sk__10 )
    | ~ ( ssList @ sk__7 )
    | ( sk__7 != sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl1671]) ).

thf(zip_derived_cl43_017,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl269_018,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(zip_derived_cl1686,plain,
    ( ( sk__10 = nil )
    | ~ ( segmentP @ sk__6 @ sk__10 )
    | ( sk__7 != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1682,zip_derived_cl43,zip_derived_cl269]) ).

thf(zip_derived_cl1687,plain,
    ( ~ ( segmentP @ sk__6 @ sk__10 )
    | ( sk__10 = nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1686]) ).

thf(zip_derived_cl1710,plain,
    ( ~ ( ssList @ sk__6 )
    | ( sk__6 != sk__6 )
    | ( sk__10 = nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl538,zip_derived_cl1687]) ).

thf(zip_derived_cl38_019,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1712,plain,
    ( ( sk__6 != sk__6 )
    | ( sk__10 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1710,zip_derived_cl38]) ).

thf(zip_derived_cl1713,plain,
    sk__10 = nil,
    inference(simplify,[status(thm)],[zip_derived_cl1712]) ).

thf(zip_derived_cl1719,plain,
    ( ( app @ sk__11 @ nil )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl1713]) ).

thf(zip_derived_cl37_020,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl1776,plain,
    ( ( sk__6 = sk__11 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1719,zip_derived_cl37]) ).

thf(zip_derived_cl46_021,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1800,plain,
    sk__6 = sk__11,
    inference(demod,[status(thm)],[zip_derived_cl1776,zip_derived_cl46]) ).

thf(zip_derived_cl1800_022,plain,
    sk__6 = sk__11,
    inference(demod,[status(thm)],[zip_derived_cl1776,zip_derived_cl46]) ).

thf(zip_derived_cl1821,plain,
    ( ~ ( segmentP @ sk__6 @ sk__6 )
    | ( sk__6 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1227,zip_derived_cl1800,zip_derived_cl1800]) ).

thf(zip_derived_cl274_023,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

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

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl287,plain,
    ( ( nil != sk__6 )
    | ~ ( ssList @ sk__11 )
    | ( nil = sk__10 )
    | ~ ( ssList @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl34]) ).

thf(zip_derived_cl46_024,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_025,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl293,plain,
    ( ( nil != sk__6 )
    | ( nil = sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl46,zip_derived_cl43]) ).

thf(zip_derived_cl279_026,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

thf(zip_derived_cl304,plain,
    ( ( ( app @ nil @ sk__11 )
      = sk__7 )
    | ( nil != sk__6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl293,zip_derived_cl279]) ).

thf(zip_derived_cl22_027,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl423,plain,
    ( ( sk__7 = sk__11 )
    | ( nil != sk__6 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl304,zip_derived_cl22]) ).

thf(zip_derived_cl46_028,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl429,plain,
    ( ( sk__7 = sk__11 )
    | ( nil != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl46]) ).

thf(zip_derived_cl274_029,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl311,plain,
    ( ( nil != sk__6 )
    | ~ ( ssList @ sk__11 )
    | ( nil = sk__11 )
    | ~ ( ssList @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl35]) ).

thf(zip_derived_cl46_030,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_031,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,plain,
    ( ( nil != sk__6 )
    | ( nil = sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl46,zip_derived_cl43]) ).

thf(zip_derived_cl435,plain,
    ( ( nil = sk__7 )
    | ( nil != sk__6 )
    | ( nil != sk__6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl429,zip_derived_cl317]) ).

thf(zip_derived_cl439,plain,
    ( ( nil != sk__6 )
    | ( nil = sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl435]) ).

thf(zip_derived_cl279_032,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

thf(zip_derived_cl34_033,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl286,plain,
    ( ( nil != sk__7 )
    | ~ ( ssList @ sk__10 )
    | ( nil = sk__11 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl34]) ).

thf(zip_derived_cl43_034,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_035,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl292,plain,
    ( ( nil != sk__7 )
    | ( nil = sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl43,zip_derived_cl46]) ).

thf(zip_derived_cl274_036,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl295,plain,
    ( ( ( app @ nil @ sk__10 )
      = sk__6 )
    | ( nil != sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl292,zip_derived_cl274]) ).

thf(zip_derived_cl22_037,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl358,plain,
    ( ( sk__6 = sk__10 )
    | ( nil != sk__7 )
    | ~ ( ssList @ sk__10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl295,zip_derived_cl22]) ).

thf(zip_derived_cl43_038,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ( sk__6 = sk__10 )
    | ( nil != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl43]) ).

thf(zip_derived_cl279_039,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

thf(zip_derived_cl35_040,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl310,plain,
    ( ( nil != sk__7 )
    | ~ ( ssList @ sk__10 )
    | ( nil = sk__10 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl35]) ).

thf(zip_derived_cl43_041,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_042,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl316,plain,
    ( ( nil != sk__7 )
    | ( nil = sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl43,zip_derived_cl46]) ).

thf(zip_derived_cl372,plain,
    ( ( nil = sk__6 )
    | ( nil != sk__7 )
    | ( nil != sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl365,zip_derived_cl316]) ).

thf(zip_derived_cl377,plain,
    ( ( nil != sk__7 )
    | ( nil = sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl372]) ).

thf(zip_derived_cl40,plain,
    ( ( nil != sk__6 )
    | ( nil != sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl378,plain,
    nil != sk__7,
    inference(clc,[status(thm)],[zip_derived_cl377,zip_derived_cl40]) ).

thf(zip_derived_cl440,plain,
    nil != sk__6,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl439,zip_derived_cl378]) ).

thf(zip_derived_cl1822,plain,
    ~ ( segmentP @ sk__6 @ sk__6 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1821,zip_derived_cl440]) ).

thf(zip_derived_cl1828,plain,
    ~ ( ssList @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1822]) ).

thf(zip_derived_cl38_043,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1829,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1828,zip_derived_cl38]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4bh83kX5LI true
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 14:52:28 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.53/0.63  % Total configuration time : 435
% 0.53/0.63  % Estimated wc time : 1092
% 0.53/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.89  % Solved by fo/fo3_bce.sh.
% 0.57/0.89  % BCE start: 50
% 0.57/0.89  % BCE eliminated: 2
% 0.57/0.89  % PE start: 48
% 0.57/0.89  logic: eq
% 0.57/0.89  % PE eliminated: 1
% 0.57/0.89  % done 284 iterations in 0.143s
% 0.57/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.89  % SZS output start Refutation
% See solution above
% 0.57/0.89  
% 0.57/0.89  
% 0.57/0.89  % Terminating...
% 0.58/0.97  % Runner terminated.
% 0.58/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------