TSTP Solution File: NUM542+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UdpjyHhnz7 true
% Computer : n001.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 12:42:14 EDT 2023
% Result : Theorem 31.48s 5.07s
% Output : Refutation 31.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 32
% Syntax : Number of formulae : 176 ( 64 unt; 16 typ; 0 def)
% Number of atoms : 408 ( 56 equ; 0 cnn)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 1253 ( 146 ~; 154 |; 44 &; 859 @)
% ( 18 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 113 ( 0 ^; 112 !; 1 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(xm_type,type,
xm: $i ).
thf(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $o ).
thf(m__,conjecture,
( ( ( ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) )
<=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xn )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) )
& ( aSet0 @ ( slbdtrb0 @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
<=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xm )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) )
& ( aSet0 @ ( slbdtrb0 @ xm ) ) )
=> ( sdtlseqdt0 @ xm @ xn ) )
& ( ( sdtlseqdt0 @ xm @ xn )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
<=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xm )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) )
& ( aSet0 @ ( slbdtrb0 @ xm ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) )
<=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xn )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) )
& ( aSet0 @ ( slbdtrb0 @ xn ) ) )
=> ( ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [W0: $i] :
( ( zip_tseitin_3 @ W0 )
<=> ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xm ) ) ) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xm )
| ~ ( zip_tseitin_3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1964,axiom,
( ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xm @ szNzAzT0 ) ) ).
thf(zip_derived_cl96,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mLessSucc,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mLessSucc]) ).
thf(zip_derived_cl320,plain,
sdtlseqdt0 @ xm @ ( szszuzczcdt0 @ xm ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl57]) ).
thf(zip_derived_cl96_001,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl2032,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xm )
| ( xm = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl59]) ).
thf(zip_derived_cl2056,plain,
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0 )
| ( xm
= ( szszuzczcdt0 @ xm ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl2032]) ).
thf(zip_derived_cl96_002,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mSuccNum,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl246,plain,
aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl46]) ).
thf(zip_derived_cl2062,plain,
( ( xm
= ( szszuzczcdt0 @ xm ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl2056,zip_derived_cl246]) ).
thf(zip_derived_cl96_003,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mNatNSucc,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( X0
!= ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mNatNSucc]) ).
thf(zip_derived_cl204,plain,
( xm
!= ( szszuzczcdt0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl51]) ).
thf(zip_derived_cl2063,plain,
~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xm ) @ xm ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2062,zip_derived_cl204]) ).
thf(zip_derived_cl2159,plain,
~ ( zip_tseitin_3 @ xm ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl2063]) ).
thf(zip_derived_cl95,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl96_004,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mLessTotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
thf(zip_derived_cl2215,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xm )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl61]) ).
thf(zip_derived_cl5776,plain,
( ( sdtlseqdt0 @ xm @ xn )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl2215]) ).
thf(zip_derived_cl95_005,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl46_006,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl247,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl46]) ).
thf(mNatExtra,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( W0 = sz00 )
| ? [W1: $i] :
( ( W0
= ( szszuzczcdt0 @ W1 ) )
& ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( X0
= ( szszuzczcdt0 @ ( sk__4 @ X0 ) ) )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mNatExtra]) ).
thf(zip_derived_cl949,plain,
( ( ( szszuzczcdt0 @ xn )
= sz00 )
| ( ( szszuzczcdt0 @ xn )
= ( szszuzczcdt0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl49]) ).
thf(zip_derived_cl95_007,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( ( szszuzczcdt0 @ X0 )
!= sz00 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl202,plain,
( ( szszuzczcdt0 @ xn )
!= sz00 ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl47]) ).
thf(zip_derived_cl970,plain,
( ( szszuzczcdt0 @ xn )
= ( szszuzczcdt0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl949,zip_derived_cl202]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xm )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1460,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
| ~ ( aElementOf0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) @ szNzAzT0 )
| ( zip_tseitin_3 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl970,zip_derived_cl102]) ).
thf(zip_derived_cl247_008,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl46]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__4 @ X0 ) @ szNzAzT0 )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mNatExtra]) ).
thf(zip_derived_cl659,plain,
( ( ( szszuzczcdt0 @ xn )
= sz00 )
| ( aElementOf0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl50]) ).
thf(zip_derived_cl202_009,plain,
( ( szszuzczcdt0 @ xn )
!= sz00 ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl47]) ).
thf(zip_derived_cl672,plain,
aElementOf0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) @ szNzAzT0,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl659,zip_derived_cl202]) ).
thf(zip_derived_cl1479,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
| ( zip_tseitin_3 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1460,zip_derived_cl672]) ).
thf(zip_derived_cl970_010,plain,
( ( szszuzczcdt0 @ xn )
= ( szszuzczcdt0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl949,zip_derived_cl202]) ).
thf(zip_derived_cl95_011,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mSuccEquSucc,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( szszuzczcdt0 @ W0 )
= ( szszuzczcdt0 @ W1 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ( ( szszuzczcdt0 @ X0 )
!= ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccEquSucc]) ).
thf(zip_derived_cl921,plain,
! [X0: $i] :
( ( ( szszuzczcdt0 @ xn )
!= ( szszuzczcdt0 @ X0 ) )
| ( xn = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl48]) ).
thf(zip_derived_cl1474,plain,
( ( ( szszuzczcdt0 @ xn )
!= ( szszuzczcdt0 @ xn ) )
| ~ ( aElementOf0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) @ szNzAzT0 )
| ( xn
= ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl970,zip_derived_cl921]) ).
thf(zip_derived_cl672_012,plain,
aElementOf0 @ ( sk__4 @ ( szszuzczcdt0 @ xn ) ) @ szNzAzT0,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl659,zip_derived_cl202]) ).
thf(zip_derived_cl1483,plain,
( ( ( szszuzczcdt0 @ xn )
!= ( szszuzczcdt0 @ xn ) )
| ( xn
= ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1474,zip_derived_cl672]) ).
thf(zip_derived_cl1484,plain,
( xn
= ( sk__4 @ ( szszuzczcdt0 @ xn ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1483]) ).
thf(zip_derived_cl1809,plain,
( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm )
| ( zip_tseitin_3 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl1484]) ).
thf(zip_derived_cl5807,plain,
( ( sdtlseqdt0 @ xm @ xn )
| ( zip_tseitin_3 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl5776,zip_derived_cl1809]) ).
thf(zf_stmt_1,type,
zip_tseitin_3: $i > $o ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $o ).
thf(zf_stmt_3,axiom,
! [W0: $i] :
( ( zip_tseitin_2 @ W0 )
<=> ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xn ) ) ) ).
thf(zf_stmt_4,conjecture,
( ( ( sdtlseqdt0 @ xm @ xn )
=> ( ( ( aSet0 @ ( slbdtrb0 @ xm ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
<=> ( zip_tseitin_3 @ W0 ) ) )
=> ( ( ( aSet0 @ ( slbdtrb0 @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) )
<=> ( zip_tseitin_2 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) )
| ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) ) ) ) )
& ( ( ( aSet0 @ ( slbdtrb0 @ xm ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
<=> ( zip_tseitin_3 @ W0 ) )
& ( aSet0 @ ( slbdtrb0 @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) )
<=> ( zip_tseitin_2 @ W0 ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) )
& ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) )
=> ( sdtlseqdt0 @ xm @ xn ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ( ( ( sdtlseqdt0 @ xm @ xn )
=> ( ( ( aSet0 @ ( slbdtrb0 @ xm ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
<=> ( zip_tseitin_3 @ W0 ) ) )
=> ( ( ( aSet0 @ ( slbdtrb0 @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) )
<=> ( zip_tseitin_2 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) )
| ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) ) ) ) )
& ( ( ( aSet0 @ ( slbdtrb0 @ xm ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
<=> ( zip_tseitin_3 @ W0 ) )
& ( aSet0 @ ( slbdtrb0 @ xn ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) )
<=> ( zip_tseitin_2 @ W0 ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) )
& ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) )
=> ( sdtlseqdt0 @ xm @ xn ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl191,plain,
! [X4: $i] :
( ( sdtlseqdt0 @ xm @ xn )
| ( aElementOf0 @ X4 @ ( slbdtrb0 @ xm ) )
| ~ ( zip_tseitin_3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl121,plain,
! [X6: $i] :
( ~ ( zip_tseitin_3 @ X6 )
| ( aElementOf0 @ X6 @ ( slbdtrb0 @ xm ) )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl803,plain,
! [X4: $i] :
( ~ ( zip_tseitin_3 @ X4 )
| ( aElementOf0 @ X4 @ ( slbdtrb0 @ xm ) ) ),
inference(clc,[status(thm)],[zip_derived_cl191,zip_derived_cl121]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xm @ xn )
| ( aElementOf0 @ X0 @ ( slbdtrb0 @ xn ) )
| ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ xm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl806,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ X0 )
| ( aElementOf0 @ X0 @ ( slbdtrb0 @ xn ) )
| ( sdtlseqdt0 @ xm @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl803,zip_derived_cl186]) ).
thf(zip_derived_cl95_013,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mDefSeg,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( W1
= ( slbdtrb0 @ W0 ) )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
<=> ( ( aElementOf0 @ W2 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W2 ) @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X2 ) @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl3797,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ xn )
| ( X0
!= ( slbdtrb0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl88]) ).
thf(zip_derived_cl4152,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xn )
| ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ xn ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3797]) ).
thf(zip_derived_cl4208,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xm @ xn )
| ~ ( zip_tseitin_3 @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl806,zip_derived_cl4152]) ).
thf(zip_derived_cl95_014,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl57_015,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mLessSucc]) ).
thf(zip_derived_cl321,plain,
sdtlseqdt0 @ xn @ ( szszuzczcdt0 @ xn ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl57]) ).
thf(zip_derived_cl95_016,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl59_017,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl2033,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xn @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xn )
| ( xn = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl59]) ).
thf(zip_derived_cl2162,plain,
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ( xn
= ( szszuzczcdt0 @ xn ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl2033]) ).
thf(zip_derived_cl247_018,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl46]) ).
thf(zip_derived_cl2166,plain,
( ( xn
= ( szszuzczcdt0 @ xn ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl2162,zip_derived_cl247]) ).
thf(zip_derived_cl95_019,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl51_020,plain,
! [X0: $i] :
( ( X0
!= ( szszuzczcdt0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mNatNSucc]) ).
thf(zip_derived_cl205,plain,
( xn
!= ( szszuzczcdt0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl51]) ).
thf(zip_derived_cl2167,plain,
~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xn ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2166,zip_derived_cl205]) ).
thf(zip_derived_cl4292,plain,
( ~ ( zip_tseitin_3 @ xn )
| ( sdtlseqdt0 @ xm @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl4208,zip_derived_cl2167]) ).
thf(zip_derived_cl5811,plain,
sdtlseqdt0 @ xm @ xn,
inference(clc,[status(thm)],[zip_derived_cl5807,zip_derived_cl4292]) ).
thf(zip_derived_cl2032_021,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xm )
| ( xm = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl59]) ).
thf(zip_derived_cl5817,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( xm = xn )
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl5811,zip_derived_cl2032]) ).
thf(zip_derived_cl95_022,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl5820,plain,
( ( xm = xn )
| ~ ( sdtlseqdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl5817,zip_derived_cl95]) ).
thf(zip_derived_cl139,plain,
( ( aElementOf0 @ sk__9 @ ( slbdtrb0 @ xm ) )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl5811_023,plain,
sdtlseqdt0 @ xm @ xn,
inference(clc,[status(thm)],[zip_derived_cl5807,zip_derived_cl4292]) ).
thf(zip_derived_cl5813,plain,
aElementOf0 @ sk__9 @ ( slbdtrb0 @ xm ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl5811]) ).
thf(zip_derived_cl96_024,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( aElementOf0 @ X2 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl1063,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ X0 )
| ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0
!= ( slbdtrb0 @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl87]) ).
thf(zip_derived_cl1114,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ xm ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1063]) ).
thf(zip_derived_cl5839,plain,
aElementOf0 @ sk__9 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl1114]) ).
thf(zip_derived_cl95_025,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl61_026,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
thf(zip_derived_cl2216,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xn )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl61]) ).
thf(zip_derived_cl5955,plain,
( ( sdtlseqdt0 @ xn @ sk__9 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ sk__9 ) @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl5839,zip_derived_cl2216]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xn )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl8069,plain,
( ( sdtlseqdt0 @ xn @ sk__9 )
| ~ ( aElementOf0 @ sk__9 @ szNzAzT0 )
| ( zip_tseitin_2 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5955,zip_derived_cl99]) ).
thf(zip_derived_cl5839_027,plain,
aElementOf0 @ sk__9 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl1114]) ).
thf(zip_derived_cl188,plain,
! [X2: $i] :
( ( sdtlseqdt0 @ xm @ xn )
| ( aElementOf0 @ X2 @ ( slbdtrb0 @ xn ) )
| ~ ( zip_tseitin_2 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl166,plain,
! [X8: $i] :
( ~ ( zip_tseitin_2 @ X8 )
| ( aElementOf0 @ X8 @ ( slbdtrb0 @ xn ) )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl743,plain,
! [X2: $i] :
( ~ ( zip_tseitin_2 @ X2 )
| ( aElementOf0 @ X2 @ ( slbdtrb0 @ xn ) ) ),
inference(clc,[status(thm)],[zip_derived_cl188,zip_derived_cl166]) ).
thf(zip_derived_cl148,plain,
( ~ ( aElementOf0 @ sk__9 @ ( slbdtrb0 @ xn ) )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl748,plain,
( ~ ( zip_tseitin_2 @ sk__9 )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl743,zip_derived_cl148]) ).
thf(zip_derived_cl5811_028,plain,
sdtlseqdt0 @ xm @ xn,
inference(clc,[status(thm)],[zip_derived_cl5807,zip_derived_cl4292]) ).
thf(zip_derived_cl5815,plain,
~ ( zip_tseitin_2 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl748,zip_derived_cl5811]) ).
thf(zip_derived_cl8071,plain,
sdtlseqdt0 @ xn @ sk__9,
inference(demod,[status(thm)],[zip_derived_cl8069,zip_derived_cl5839,zip_derived_cl5815]) ).
thf(zip_derived_cl2033_029,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xn @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xn )
| ( xn = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl59]) ).
thf(zip_derived_cl8076,plain,
( ~ ( aElementOf0 @ sk__9 @ szNzAzT0 )
| ( xn = sk__9 )
| ~ ( sdtlseqdt0 @ sk__9 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl8071,zip_derived_cl2033]) ).
thf(zip_derived_cl5839_030,plain,
aElementOf0 @ sk__9 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl1114]) ).
thf(zip_derived_cl8079,plain,
( ( xn = sk__9 )
| ~ ( sdtlseqdt0 @ sk__9 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl8076,zip_derived_cl5839]) ).
thf(zip_derived_cl5839_031,plain,
aElementOf0 @ sk__9 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl1114]) ).
thf(zip_derived_cl95_032,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl96_033,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(mLessTrans,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( aElementOf0 @ W2 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLessTrans]) ).
thf(zip_derived_cl2138,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ X1 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl60]) ).
thf(zip_derived_cl29274,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xm )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ xn )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl2138]) ).
thf(zip_derived_cl5811_034,plain,
sdtlseqdt0 @ xm @ xn,
inference(clc,[status(thm)],[zip_derived_cl5807,zip_derived_cl4292]) ).
thf(zip_derived_cl29325,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xm )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl29274,zip_derived_cl5811]) ).
thf(zip_derived_cl29455,plain,
( ( sdtlseqdt0 @ sk__9 @ xn )
| ~ ( sdtlseqdt0 @ sk__9 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl5839,zip_derived_cl29325]) ).
thf(zip_derived_cl803_035,plain,
! [X4: $i] :
( ~ ( zip_tseitin_3 @ X4 )
| ( aElementOf0 @ X4 @ ( slbdtrb0 @ xm ) ) ),
inference(clc,[status(thm)],[zip_derived_cl191,zip_derived_cl121]) ).
thf(zip_derived_cl5839_036,plain,
aElementOf0 @ sk__9 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl1114]) ).
thf(mSegSucc,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) )
<=> ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) )
| ( W0 = W1 ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( aElementOf0 @ X0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ X1 ) ) )
| ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSegSucc]) ).
thf(zip_derived_cl5871,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ sk__9 @ ( slbdtrb0 @ X0 ) )
| ( aElementOf0 @ sk__9 @ ( slbdtrb0 @ ( szszuzczcdt0 @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5839,zip_derived_cl93]) ).
thf(zip_derived_cl21711,plain,
( ~ ( zip_tseitin_3 @ sk__9 )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( aElementOf0 @ sk__9 @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl803,zip_derived_cl5871]) ).
thf(zip_derived_cl5813_037,plain,
aElementOf0 @ sk__9 @ ( slbdtrb0 @ xm ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl5811]) ).
thf(zip_derived_cl190,plain,
! [X3: $i] :
( ( sdtlseqdt0 @ xm @ xn )
| ( zip_tseitin_3 @ X3 )
| ~ ( aElementOf0 @ X3 @ ( slbdtrb0 @ xm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl112,plain,
! [X5: $i] :
( ~ ( aElementOf0 @ X5 @ ( slbdtrb0 @ xm ) )
| ( zip_tseitin_3 @ X5 )
| ~ ( sdtlseqdt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl458,plain,
! [X3: $i] :
( ~ ( aElementOf0 @ X3 @ ( slbdtrb0 @ xm ) )
| ( zip_tseitin_3 @ X3 ) ),
inference(clc,[status(thm)],[zip_derived_cl190,zip_derived_cl112]) ).
thf(zip_derived_cl5841,plain,
zip_tseitin_3 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl458]) ).
thf(zip_derived_cl96_038,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl21717,plain,
aElementOf0 @ sk__9 @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl21711,zip_derived_cl5841,zip_derived_cl96]) ).
thf(zip_derived_cl246_039,plain,
aElementOf0 @ ( szszuzczcdt0 @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl46]) ).
thf(zip_derived_cl88_040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X2 ) @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl3787,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ X0 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ ( szszuzczcdt0 @ xm ) )
| ( X0
!= ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl88]) ).
thf(zip_derived_cl8891,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ xm ) )
| ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ xm ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3787]) ).
thf(zip_derived_cl21733,plain,
sdtlseqdt0 @ ( szszuzczcdt0 @ sk__9 ) @ ( szszuzczcdt0 @ xm ),
inference('sup-',[status(thm)],[zip_derived_cl21717,zip_derived_cl8891]) ).
thf(mSuccLess,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccLess]) ).
thf(zip_derived_cl21747,plain,
( ( sdtlseqdt0 @ sk__9 @ xm )
| ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ~ ( aElementOf0 @ sk__9 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21733,zip_derived_cl56]) ).
thf(zip_derived_cl96_041,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__1964]) ).
thf(zip_derived_cl5839_042,plain,
aElementOf0 @ sk__9 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl1114]) ).
thf(zip_derived_cl21749,plain,
sdtlseqdt0 @ sk__9 @ xm,
inference(demod,[status(thm)],[zip_derived_cl21747,zip_derived_cl96,zip_derived_cl5839]) ).
thf(zip_derived_cl29469,plain,
sdtlseqdt0 @ sk__9 @ xn,
inference(demod,[status(thm)],[zip_derived_cl29455,zip_derived_cl21749]) ).
thf(zip_derived_cl29471,plain,
xn = sk__9,
inference(demod,[status(thm)],[zip_derived_cl8079,zip_derived_cl29469]) ).
thf(zip_derived_cl29471_043,plain,
xn = sk__9,
inference(demod,[status(thm)],[zip_derived_cl8079,zip_derived_cl29469]) ).
thf(zip_derived_cl21749_044,plain,
sdtlseqdt0 @ sk__9 @ xm,
inference(demod,[status(thm)],[zip_derived_cl21747,zip_derived_cl96,zip_derived_cl5839]) ).
thf(zip_derived_cl29772,plain,
xm = sk__9,
inference(demod,[status(thm)],[zip_derived_cl5820,zip_derived_cl29471,zip_derived_cl29471,zip_derived_cl21749]) ).
thf(zip_derived_cl5841_045,plain,
zip_tseitin_3 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl5813,zip_derived_cl458]) ).
thf(zip_derived_cl31307,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2159,zip_derived_cl29772,zip_derived_cl5841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UdpjyHhnz7 true
% 0.14/0.34 % Computer : n001.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 : Fri Aug 25 16:40:14 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 31.48/5.07 % Solved by fo/fo5.sh.
% 31.48/5.07 % done 5787 iterations in 4.271s
% 31.48/5.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.48/5.07 % SZS output start Refutation
% See solution above
% 31.48/5.07
% 31.48/5.07
% 31.48/5.07 % Terminating...
% 31.88/5.15 % Runner terminated.
% 31.88/5.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------