TSTP Solution File: SEU299+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU299+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o8EaEvkPr4 true
% Computer : n025.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 19:11:55 EDT 2023
% Result : Theorem 212.82s 31.19s
% Output : Refutation 212.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 142
% Number of leaves : 65
% Syntax : Number of formulae : 682 ( 81 unt; 49 typ; 0 def)
% Number of atoms : 2250 ( 391 equ; 0 cnn)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 10063 (1010 ~;1524 |; 47 &;7436 @)
% ( 12 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 36 usr; 7 con; 0-3 aty)
% Number of variables : 682 ( 0 ^; 668 !; 14 ?; 682 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(sk__32_type,type,
sk__32: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__29_type,type,
sk__29: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $i > $o ).
thf(sk__33_type,type,
sk__33: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $o ).
thf(succ_type,type,
succ: $i > $i ).
thf(sk__30_type,type,
sk__30: $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__35_type,type,
sk__35: $i > $i ).
thf(sk__34_type,type,
sk__34: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $o ).
thf(omega_type,type,
omega: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__31_type,type,
sk__31: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__27_type,type,
sk__27: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__28_type,type,
sk__28: $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $i > $o ).
thf(s1_tarski__e18_27__finset_1__1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ? [I: $i] :
( ( ordinal @ I )
& ( D = I )
& ( ( in @ I @ omega )
=> ! [J: $i] :
( ( element @ J @ ( powerset @ ( powerset @ I ) ) )
=> ~ ( ! [K: $i] :
~ ( ! [L: $i] :
( ( ( subset @ K @ L )
& ( in @ L @ J ) )
=> ( L = K ) )
& ( in @ K @ J ) )
& ( J != empty_set ) ) ) ) )
& ( B = D )
& ? [E: $i] :
( ( ordinal @ E )
& ( C = E )
& ( ( in @ E @ omega )
=> ! [F: $i] :
( ( element @ F @ ( powerset @ ( powerset @ E ) ) )
=> ~ ( ! [G: $i] :
~ ( ! [H: $i] :
( ( ( subset @ G @ H )
& ( in @ H @ F ) )
=> ( H = G ) )
& ( in @ G @ F ) )
& ( F != empty_set ) ) ) ) )
& ( B = C ) )
=> ( C = D ) )
=> ? [B: $i] :
! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( in @ D @ ( succ @ A ) )
& ( D = C )
& ? [M: $i] :
( ( ordinal @ M )
& ( C = M )
& ( ( in @ M @ omega )
=> ! [N: $i] :
( ( element @ N @ ( powerset @ ( powerset @ M ) ) )
=> ~ ( ! [O: $i] :
~ ( ! [P: $i] :
( ( ( subset @ O @ P )
& ( in @ P @ N ) )
=> ( P = O ) )
& ( in @ O @ N ) )
& ( N != empty_set ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [P: $i,O: $i,N: $i] :
( ( zip_tseitin_5 @ P @ O @ N )
<=> ( ( zip_tseitin_4 @ P @ O @ N )
=> ( P = O ) ) ) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ( zip_tseitin_4 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
! [O: $i,N: $i] :
( ( zip_tseitin_6 @ O @ N )
<=> ( ( in @ O @ N )
& ! [P: $i] : ( zip_tseitin_5 @ P @ O @ N ) ) ) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_5 @ ( sk__27 @ X1 @ X0 ) @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl761,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ ( sk__27 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ X0 )
| ( zip_tseitin_6 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl145,zip_derived_cl148]) ).
thf(zf_stmt_2,axiom,
! [P: $i,O: $i,N: $i] :
( ( zip_tseitin_4 @ P @ O @ N )
<=> ( ( in @ P @ N )
& ( subset @ O @ P ) ) ) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl762,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X1 @ X0 )
| ~ ( in @ X1 @ X0 )
| ( in @ ( sk__27 @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl761,zip_derived_cl140]) ).
thf(zf_stmt_3,axiom,
! [N: $i,M: $i] :
( ( zip_tseitin_8 @ N @ M )
<=> ( ( element @ N @ ( powerset @ ( powerset @ M ) ) )
=> ~ ( zip_tseitin_7 @ N ) ) ) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_8 @ X0 @ X1 )
| ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zf_stmt_4,axiom,
! [M: $i] :
( ( zip_tseitin_9 @ M )
<=> ( ( in @ M @ omega )
=> ! [N: $i] : ( zip_tseitin_8 @ N @ M ) ) ) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ X0 )
| ~ ( zip_tseitin_8 @ ( sk__29 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl758,plain,
! [X0: $i] :
( ( element @ ( sk__29 @ X0 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ( zip_tseitin_9 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl154,zip_derived_cl156]) ).
thf(zf_stmt_5,axiom,
! [M: $i,C: $i] :
( ( zip_tseitin_10 @ M @ C )
<=> ( ( zip_tseitin_9 @ M )
& ( C = M )
& ( ordinal @ M ) ) ) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( ordinal @ X0 )
| ( X1 != X0 )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zf_stmt_6,axiom,
! [D: $i,C: $i,A: $i] :
( ( zip_tseitin_11 @ D @ C @ A )
<=> ( ? [M: $i] : ( zip_tseitin_10 @ M @ C )
& ( D = C )
& ( in @ D @ ( succ @ A ) ) ) ) ).
thf(zip_derived_cl165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_11 @ X0 @ X1 @ X2 )
| ~ ( in @ X0 @ ( succ @ X2 ) )
| ( X0 != X1 )
| ~ ( zip_tseitin_10 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_9 @ X1 )
| ( X0 != X1 )
| ~ ( ordinal @ X1 )
| ( X3 != X0 )
| ~ ( in @ X3 @ ( succ @ X2 ) )
| ( zip_tseitin_11 @ X3 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl161,zip_derived_cl165]) ).
thf(zip_derived_cl1494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_11 @ X2 @ X1 @ X0 )
| ~ ( in @ X2 @ ( succ @ X0 ) )
| ( X2 != X1 )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl774]) ).
thf(zip_derived_cl1495,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ ( succ @ X1 ) )
| ( zip_tseitin_11 @ X0 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1494]) ).
thf(zf_stmt_7,axiom,
! [D: $i,C: $i,B: $i] :
( ( ( zip_tseitin_2 @ D @ C @ B )
=> ( C = D ) )
=> ( zip_tseitin_3 @ D @ C @ B ) ) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zf_stmt_8,type,
zip_tseitin_12: $i > $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_12 @ C @ B @ A )
=> ( ( in @ C @ B )
<=> ? [D: $i] : ( zip_tseitin_11 @ D @ C @ A ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_11: $i > $i > $i > $o ).
thf(zf_stmt_11,type,
zip_tseitin_10: $i > $i > $o ).
thf(zf_stmt_12,type,
zip_tseitin_9: $i > $o ).
thf(zf_stmt_13,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_14,type,
zip_tseitin_7: $i > $o ).
thf(zf_stmt_15,axiom,
! [N: $i] :
( ( zip_tseitin_7 @ N )
<=> ( ( N != empty_set )
& ! [O: $i] :
~ ( zip_tseitin_6 @ O @ N ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_6: $i > $i > $o ).
thf(zf_stmt_17,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zf_stmt_18,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_19,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_20,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_21,axiom,
! [D: $i,C: $i,B: $i] :
( ( zip_tseitin_2 @ D @ C @ B )
=> ( ( B = C )
& ? [E: $i] : ( zip_tseitin_1 @ E @ C )
& ( B = D )
& ? [I: $i] : ( zip_tseitin_1 @ I @ D ) ) ) ).
thf(zf_stmt_22,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_23,axiom,
! [I: $i,D: $i] :
( ( zip_tseitin_1 @ I @ D )
=> ( ( ( in @ I @ omega )
=> ! [J: $i] :
( ( element @ J @ ( powerset @ ( powerset @ I ) ) )
=> ~ ( ( J != empty_set )
& ! [K: $i] :
~ ( zip_tseitin_0 @ K @ J ) ) ) )
& ( D = I )
& ( ordinal @ I ) ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_25,axiom,
! [K: $i,J: $i] :
( ( zip_tseitin_0 @ K @ J )
=> ( ( in @ K @ J )
& ! [L: $i] :
( ( ( in @ L @ J )
& ( subset @ K @ L ) )
=> ( L = K ) ) ) ) ).
thf(zf_stmt_26,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ! [B: $i,C: $i,D: $i] : ( zip_tseitin_3 @ D @ C @ B )
=> ? [B: $i] :
! [C: $i] : ( zip_tseitin_12 @ C @ B @ A ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_3 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_12 @ X1 @ ( sk__35 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf(zip_derived_cl748,plain,
! [X0: $i,X1: $i] :
( ( sk__33 != sk__34 )
| ( zip_tseitin_12 @ X1 @ ( sk__35 @ X0 ) @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl138,zip_derived_cl168]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_11 @ X0 @ X1 @ X2 )
| ( in @ X1 @ X3 )
| ~ ( zip_tseitin_12 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( sk__33 != sk__34 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( zip_tseitin_11 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl748,zip_derived_cl166]) ).
thf(s1_xboole_0__e18_27__finset_1__1,conjecture,
! [A: $i] :
( ( ordinal @ A )
=> ? [B: $i] :
! [C: $i] :
( ( in @ C @ B )
<=> ( ( in @ C @ ( succ @ A ) )
& ? [D: $i] :
( ( ( in @ D @ omega )
=> ! [E: $i] :
( ( element @ E @ ( powerset @ ( powerset @ D ) ) )
=> ~ ( ( E != empty_set )
& ! [F: $i] :
~ ( ( in @ F @ E )
& ! [G: $i] :
( ( ( in @ G @ E )
& ( subset @ F @ G ) )
=> ( G = F ) ) ) ) ) )
& ( C = D )
& ( ordinal @ D ) ) ) ) ) ).
thf(zf_stmt_27,negated_conjecture,
~ ! [A: $i] :
( ( ordinal @ A )
=> ? [B: $i] :
! [C: $i] :
( ( in @ C @ B )
<=> ( ( in @ C @ ( succ @ A ) )
& ? [D: $i] :
( ( ( in @ D @ omega )
=> ! [E: $i] :
( ( element @ E @ ( powerset @ ( powerset @ D ) ) )
=> ~ ( ( E != empty_set )
& ! [F: $i] :
~ ( ( in @ F @ E )
& ! [G: $i] :
( ( ( in @ G @ E )
& ( subset @ F @ G ) )
=> ( G = F ) ) ) ) ) )
& ( C = D )
& ( ordinal @ D ) ) ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e18_27__finset_1__1]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ( zip_tseitin_2 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl168_001,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_3 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_12 @ X1 @ ( sk__35 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf(zip_derived_cl749,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_12 @ X1 @ ( sk__35 @ X0 ) @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl139,zip_derived_cl168]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_11 @ ( sk__31 @ X2 @ X0 ) @ X0 @ X2 )
| ~ ( zip_tseitin_12 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl755,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl749,zip_derived_cl167]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_11 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1463,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ( sk__31 @ X0 @ X1 )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl163]) ).
thf(zip_derived_cl1552,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ( sk__31 @ X0 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
= ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1463]) ).
thf(zip_derived_cl755_002,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl749,zip_derived_cl167]) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( succ @ X1 ) )
| ~ ( zip_tseitin_11 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1464,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( in @ ( sk__31 @ X0 @ X1 ) @ ( succ @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl164]) ).
thf(zip_derived_cl1796,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl1464]) ).
thf(zip_derived_cl1800,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1796]) ).
thf(zip_derived_cl7_003,plain,
! [X1: $i] :
( ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2347,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1800,zip_derived_cl7]) ).
thf(zip_derived_cl2387,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2347]) ).
thf(zip_derived_cl0,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2388,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl1495_004,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ ( succ @ X1 ) )
| ( zip_tseitin_11 @ X0 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1494]) ).
thf(zip_derived_cl749_005,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_12 @ X1 @ ( sk__35 @ X0 ) @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl139,zip_derived_cl168]) ).
thf(zip_derived_cl166_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_11 @ X0 @ X1 @ X2 )
| ( in @ X1 @ X3 )
| ~ ( zip_tseitin_12 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( zip_tseitin_11 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl749,zip_derived_cl166]) ).
thf(zip_derived_cl1498,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl754]) ).
thf(zip_derived_cl9,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl8,plain,
! [X1: $i] :
( ( ordinal @ ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1387,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
thf(zip_derived_cl1388,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1387]) ).
thf(zip_derived_cl755_007,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl749,zip_derived_cl167]) ).
thf(zip_derived_cl162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_10 @ ( sk__30 @ X0 ) @ X0 )
| ~ ( zip_tseitin_11 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_10 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( X0
= ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl159]) ).
thf(zip_derived_cl1467,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl772]) ).
thf(zip_derived_cl1543,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1388,zip_derived_cl1467]) ).
thf(zip_derived_cl1388_008,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1387]) ).
thf(zip_derived_cl755_009,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl749,zip_derived_cl167]) ).
thf(zip_derived_cl162_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_10 @ ( sk__30 @ X0 ) @ X0 )
| ~ ( zip_tseitin_11 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ( ordinal @ X0 )
| ~ ( zip_tseitin_10 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( ordinal @ ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl160]) ).
thf(zip_derived_cl1468,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl773]) ).
thf(zip_derived_cl1531,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1388,zip_derived_cl1468]) ).
thf(zip_derived_cl1772,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl1531]) ).
thf(zip_derived_cl1777,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1772]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( in @ X0 @ omega )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1384,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ X0 ) @ omega )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl1781,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1777,zip_derived_cl1384]) ).
thf(zip_derived_cl2053,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl1781]) ).
thf(zip_derived_cl2061,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2053]) ).
thf(zip_derived_cl1777_011,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1772]) ).
thf(zip_derived_cl2241,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega ) ),
inference(clc,[status(thm)],[zip_derived_cl2061,zip_derived_cl1777]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ X0 )
| ( in @ X0 @ omega ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl2242,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl2241,zip_derived_cl157]) ).
thf(zip_derived_cl2458,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega )
| ~ ( ordinal @ sk_ )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2388,zip_derived_cl2242]) ).
thf(zip_derived_cl0_012,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2484,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2458,zip_derived_cl0]) ).
thf(zip_derived_cl2485,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2484]) ).
thf(zip_derived_cl758_013,plain,
! [X0: $i] :
( ( element @ ( sk__29 @ X0 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ( zip_tseitin_9 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl154,zip_derived_cl156]) ).
thf(zip_derived_cl2485_014,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2484]) ).
thf(zip_derived_cl9_015,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl11,plain,
! [X1: $i,X3: $i] :
( ~ ( in @ ( sk__4 @ X1 ) @ omega )
| ( in @ ( sk__5 @ X3 ) @ X3 )
| ( X3 = empty_set )
| ~ ( element @ X3 @ ( powerset @ ( powerset @ ( sk__4 @ X1 ) ) ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1394,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ( in @ ( sk__5 @ X1 ) @ X1 )
| ( X1 = empty_set )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl11]) ).
thf(zip_derived_cl1395,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( X1 = empty_set )
| ( in @ ( sk__5 @ X1 ) @ X1 )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1394]) ).
thf(zip_derived_cl2502,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( X0 = empty_set )
| ( in @ ( sk__5 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2485,zip_derived_cl1395]) ).
thf(zip_derived_cl3635,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl2502]) ).
thf(zip_derived_cl762_016,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X1 @ X0 )
| ~ ( in @ X1 @ X0 )
| ( in @ ( sk__27 @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl761,zip_derived_cl140]) ).
thf(zip_derived_cl3635_017,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl2502]) ).
thf(zip_derived_cl9_018,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl761_019,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ ( sk__27 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ X0 )
| ( zip_tseitin_6 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl145,zip_derived_cl148]) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl763,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X1 @ X0 )
| ~ ( in @ X1 @ X0 )
| ( subset @ X1 @ ( sk__27 @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl761,zip_derived_cl141]) ).
thf(zip_derived_cl10,plain,
! [X1: $i,X3: $i,X4: $i] :
( ~ ( in @ ( sk__4 @ X1 ) @ omega )
| ( X4
= ( sk__5 @ X3 ) )
| ~ ( subset @ ( sk__5 @ X3 ) @ X4 )
| ~ ( in @ X4 @ X3 )
| ( X3 = empty_set )
| ~ ( element @ X3 @ ( powerset @ ( powerset @ ( sk__4 @ X1 ) ) ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__5 @ X0 ) @ X1 )
| ( zip_tseitin_6 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( in @ ( sk__4 @ X2 ) @ omega )
| ( ( sk__27 @ X1 @ ( sk__5 @ X0 ) )
= ( sk__5 @ X0 ) )
| ~ ( in @ ( sk__27 @ X1 @ ( sk__5 @ X0 ) ) @ X0 )
| ( X0 = empty_set )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__4 @ X2 ) ) ) )
| ( in @ ( sk__1 @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl763,zip_derived_cl10]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl148_020,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_5 @ ( sk__27 @ X1 @ X0 ) @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl760,plain,
! [X0: $i,X1: $i] :
( ( ( sk__27 @ X0 @ X1 )
!= X1 )
| ~ ( in @ X1 @ X0 )
| ( zip_tseitin_6 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl144,zip_derived_cl148]) ).
thf(zip_derived_cl1569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__1 @ X2 ) @ X2 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__4 @ X2 ) ) ) )
| ( X0 = empty_set )
| ~ ( in @ ( sk__27 @ X1 @ ( sk__5 @ X0 ) ) @ X0 )
| ~ ( in @ ( sk__4 @ X2 ) @ omega )
| ( zip_tseitin_6 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( in @ ( sk__5 @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1488,zip_derived_cl760]) ).
thf(zip_derived_cl1570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( X1 = empty_set )
| ~ ( in @ ( sk__27 @ X2 @ ( sk__5 @ X1 ) ) @ X1 )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ( zip_tseitin_6 @ ( sk__5 @ X1 ) @ X2 )
| ~ ( in @ ( sk__5 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1569]) ).
thf(zip_derived_cl1571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__5 @ X1 ) @ X2 )
| ( zip_tseitin_6 @ ( sk__5 @ X1 ) @ X2 )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ~ ( in @ ( sk__27 @ X2 @ ( sk__5 @ X1 ) ) @ X1 )
| ( X1 = empty_set )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1570]) ).
thf(zip_derived_cl4678,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ~ ( in @ ( sk__27 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3635,zip_derived_cl1571]) ).
thf(zip_derived_cl4679,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ~ ( in @ ( sk__27 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4678]) ).
thf(zip_derived_cl11465,plain,
! [X0: $i] :
( ~ ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl762,zip_derived_cl4679]) ).
thf(zip_derived_cl11466,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( in @ ( sk__1 @ X0 ) @ X0 )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11465]) ).
thf(zip_derived_cl32858,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( in @ ( sk__1 @ X0 ) @ X0 )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3635,zip_derived_cl11466]) ).
thf(zip_derived_cl32859,plain,
! [X0: $i] :
( ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl32858]) ).
thf(zip_derived_cl32861,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2485,zip_derived_cl32859]) ).
thf(zip_derived_cl32862,plain,
( ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl32861]) ).
thf(zip_derived_cl758_021,plain,
! [X0: $i] :
( ( element @ ( sk__29 @ X0 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ( zip_tseitin_9 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl154,zip_derived_cl156]) ).
thf(zip_derived_cl32863,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl32862,zip_derived_cl758]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl32865,plain,
( ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_7 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32863,zip_derived_cl150]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ( X0 != empty_set )
| ~ ( zip_tseitin_7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl32869,plain,
( ~ ( zip_tseitin_7 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl32865,zip_derived_cl149]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_8 @ X0 @ X1 )
| ( zip_tseitin_7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl156_022,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ X0 )
| ~ ( zip_tseitin_8 @ ( sk__29 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl757,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__29 @ X0 ) )
| ( zip_tseitin_9 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl153,zip_derived_cl156]) ).
thf(zip_derived_cl32870,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl32869,zip_derived_cl757]) ).
thf(zip_derived_cl1467_023,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl772]) ).
thf(zip_derived_cl32875,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32870,zip_derived_cl1467]) ).
thf(zip_derived_cl0_024,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl33202,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32875,zip_derived_cl0]) ).
thf(zip_derived_cl33203,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33202]) ).
thf(zip_derived_cl1777_025,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1772]) ).
thf(zip_derived_cl2388_026,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl1495_027,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ ( succ @ X1 ) )
| ( zip_tseitin_11 @ X0 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1494]) ).
thf(zip_derived_cl772_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( X0
= ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl159]) ).
thf(zip_derived_cl1500,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl772]) ).
thf(zip_derived_cl2445,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2388,zip_derived_cl1500]) ).
thf(zip_derived_cl2688,plain,
( ~ ( ordinal @ sk_ )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1777,zip_derived_cl2445]) ).
thf(zip_derived_cl0_029,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2689,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2688,zip_derived_cl0]) ).
thf(zip_derived_cl2690,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2689]) ).
thf(zip_derived_cl33693,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33203,zip_derived_cl2690]) ).
thf(zip_derived_cl32870_030,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl32869,zip_derived_cl757]) ).
thf(zip_derived_cl755_031,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl749,zip_derived_cl167]) ).
thf(zip_derived_cl162_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_10 @ ( sk__30 @ X0 ) @ X0 )
| ~ ( zip_tseitin_11 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 )
| ~ ( zip_tseitin_10 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( zip_tseitin_9 @ ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl158]) ).
thf(zip_derived_cl1466,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl771]) ).
thf(zip_derived_cl32874,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32870,zip_derived_cl1466]) ).
thf(zip_derived_cl0_033,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl33200,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32874,zip_derived_cl0]) ).
thf(zip_derived_cl33201,plain,
( ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33200]) ).
thf(zip_derived_cl2388_034,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl1495_035,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ ( succ @ X1 ) )
| ( zip_tseitin_11 @ X0 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1494]) ).
thf(zip_derived_cl771_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( zip_tseitin_9 @ ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl158]) ).
thf(zip_derived_cl1499,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( zip_tseitin_9 @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl771]) ).
thf(zip_derived_cl2444,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2388,zip_derived_cl1499]) ).
thf(zip_derived_cl9_037,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1467_038,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl772]) ).
thf(zip_derived_cl1542,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1467]) ).
thf(zip_derived_cl9_039,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1466_040,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl771]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1466]) ).
thf(zip_derived_cl1899,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl1565]) ).
thf(zip_derived_cl1902,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1899]) ).
thf(zip_derived_cl2690_041,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2689]) ).
thf(zip_derived_cl2697,plain,
( ~ ( ordinal @ sk_ )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1902,zip_derived_cl2690]) ).
thf(zip_derived_cl0_042,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2702,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2697,zip_derived_cl0]) ).
thf(zip_derived_cl2703,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2702]) ).
thf(zip_derived_cl9_043,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1468_044,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl773]) ).
thf(zip_derived_cl1530,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1468]) ).
thf(zip_derived_cl2760,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2703,zip_derived_cl1530]) ).
thf(zip_derived_cl0_045,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2770,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2760,zip_derived_cl0]) ).
thf(zip_derived_cl2771,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2770]) ).
thf(zip_derived_cl8_046,plain,
! [X1: $i] :
( ( ordinal @ ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1467_047,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl772]) ).
thf(zip_derived_cl1541,plain,
! [X0: $i] :
( ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1467]) ).
thf(zip_derived_cl1541_048,plain,
! [X0: $i] :
( ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1467]) ).
thf(zip_derived_cl8_049,plain,
! [X1: $i] :
( ( ordinal @ ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1466_050,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl771]) ).
thf(zip_derived_cl1564,plain,
! [X0: $i] :
( ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1466]) ).
thf(zip_derived_cl1733,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl1564]) ).
thf(zip_derived_cl1738,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1733]) ).
thf(zip_derived_cl1777_051,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1772]) ).
thf(zip_derived_cl2388_052,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl1495_053,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ X0 )
| ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ ( succ @ X1 ) )
| ( zip_tseitin_11 @ X0 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1494]) ).
thf(zip_derived_cl773_054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( ordinal @ ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl160]) ).
thf(zip_derived_cl1501,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( ordinal @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl773]) ).
thf(zip_derived_cl2446,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2388,zip_derived_cl1501]) ).
thf(zip_derived_cl2867,plain,
( ~ ( ordinal @ sk_ )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1777,zip_derived_cl2446]) ).
thf(zip_derived_cl0_055,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2868,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2867,zip_derived_cl0]) ).
thf(zip_derived_cl2869,plain,
( ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2868]) ).
thf(zip_derived_cl2887,plain,
( ~ ( ordinal @ sk_ )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1738,zip_derived_cl2869]) ).
thf(zip_derived_cl0_056,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2891,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2887,zip_derived_cl0]) ).
thf(zip_derived_cl2892,plain,
( ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2891]) ).
thf(zip_derived_cl2899,plain,
( ~ ( ordinal @ sk_ )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl2892]) ).
thf(zip_derived_cl0_057,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2905,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2899,zip_derived_cl0]) ).
thf(zip_derived_cl2906,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2905]) ).
thf(zip_derived_cl2913,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2771,zip_derived_cl2906]) ).
thf(zip_derived_cl2916,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl3224,plain,
( ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl2444,zip_derived_cl2916]) ).
thf(zip_derived_cl33811,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33201,zip_derived_cl3224]) ).
thf(zip_derived_cl33817,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33693,zip_derived_cl33811]) ).
thf(zip_derived_cl33828,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33817]) ).
thf(zip_derived_cl1498_058,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl754]) ).
thf(zip_derived_cl1498_059,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl754]) ).
thf(zip_derived_cl33828_060,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33817]) ).
thf(zip_derived_cl1498_061,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl754]) ).
thf(zip_derived_cl2916_062,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( subset @ X2 @ ( sk__3 @ X2 @ X0 ) )
| ~ ( in @ X2 @ ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1381,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl2917,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2916,zip_derived_cl1381]) ).
thf(zip_derived_cl2388_063,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl3498,plain,
! [X0: $i] :
( ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl2917,zip_derived_cl2388]) ).
thf(zip_derived_cl3499,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl3498]) ).
thf(zip_derived_cl0_064,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl3506,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl3499,zip_derived_cl0]) ).
thf(zip_derived_cl3507,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3506]) ).
thf(zip_derived_cl2388_065,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl4152,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3507,zip_derived_cl2388]) ).
thf(zip_derived_cl2916_066,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl4153,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl4152,zip_derived_cl2916]) ).
thf(zip_derived_cl33897,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33828,zip_derived_cl4153]) ).
thf(zip_derived_cl34190,plain,
! [X0: $i] :
( ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33897]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( zip_tseitin_6 @ ( sk__28 @ X0 ) @ X0 )
| ( X0 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl33828_067,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33817]) ).
thf(zip_derived_cl1498_068,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl754]) ).
thf(zip_derived_cl2388_069,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl151_070,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( zip_tseitin_6 @ ( sk__28 @ X0 ) @ X0 )
| ( X0 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_6 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1440,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( zip_tseitin_7 @ X0 )
| ( in @ ( sk__28 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl1777_071,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1772]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( in @ ( sk__3 @ X2 @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( in @ X2 @ ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1380,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ( in @ ( sk__3 @ X1 @ ( sk__1 @ X0 ) ) @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ~ ( subset @ X1 @ X0 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_6 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ( X0 = X1 )
| ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_6 @ X1 @ X0 )
| ( X2 = X1 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl147,zip_derived_cl143]) ).
thf(zip_derived_cl764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ~ ( subset @ X1 @ X2 )
| ( X2 = X1 )
| ~ ( zip_tseitin_6 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl142,zip_derived_cl759]) ).
thf(zip_derived_cl1535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ ( sk__1 @ X0 ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( subset @ X2 @ ( sk__3 @ X1 @ ( sk__1 @ X0 ) ) )
| ( ( sk__3 @ X1 @ ( sk__1 @ X0 ) )
= X2 )
| ~ ( zip_tseitin_6 @ X2 @ ( sk__2 @ ( sk__1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1380,zip_derived_cl764]) ).
thf(zip_derived_cl1785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ~ ( subset @ X2 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
= X2 )
| ~ ( zip_tseitin_6 @ X2 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1777,zip_derived_cl1535]) ).
thf(zip_derived_cl2528,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
= empty_set )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ~ ( subset @ X1 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) @ ( sk__1 @ ( sk__35 @ X0 ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl1785]) ).
thf(zip_derived_cl5946,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( ordinal @ sk_ )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2388,zip_derived_cl2528]) ).
thf(zip_derived_cl0_072,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl5952,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5946,zip_derived_cl0]) ).
thf(zip_derived_cl5953,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5952]) ).
thf(zip_derived_cl150_073,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl12821,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5953,zip_derived_cl150]) ).
thf(zip_derived_cl12822,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl12821]) ).
thf(zip_derived_cl0_074,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl12829,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12822,zip_derived_cl0]) ).
thf(zip_derived_cl12830,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12829]) ).
thf(zip_derived_cl2388_075,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl12926,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12830,zip_derived_cl2388]) ).
thf(zip_derived_cl2916_076,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl12927,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl12926,zip_derived_cl2916]) ).
thf(zip_derived_cl33951,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33828,zip_derived_cl12927]) ).
thf(zip_derived_cl34244,plain,
! [X0: $i] :
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33951]) ).
thf(zip_derived_cl35077,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( subset @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl34244]) ).
thf(zip_derived_cl35078,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ~ ( subset @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl35077]) ).
thf(zip_derived_cl36651,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34190,zip_derived_cl35078]) ).
thf(zip_derived_cl36656,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36651]) ).
thf(zip_derived_cl32870_077,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl32869,zip_derived_cl757]) ).
thf(zip_derived_cl2916_078,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( ( sk__3 @ X2 @ X0 )
!= X2 )
| ~ ( in @ X2 @ ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1383,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ( ( sk__3 @ X1 @ ( sk__1 @ X0 ) )
!= X1 )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl2918,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2916,zip_derived_cl1383]) ).
thf(zip_derived_cl2388_079,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl2928,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl2918,zip_derived_cl2388]) ).
thf(zip_derived_cl33045,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32870,zip_derived_cl2928]) ).
thf(zip_derived_cl33539,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33045]) ).
thf(zip_derived_cl1498_080,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl754]) ).
thf(zip_derived_cl2928_081,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl2918,zip_derived_cl2388]) ).
thf(zip_derived_cl2929,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl2928]) ).
thf(zip_derived_cl0_082,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl2936,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2929,zip_derived_cl0]) ).
thf(zip_derived_cl2937,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2936]) ).
thf(zip_derived_cl2388_083,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl3359,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2937,zip_derived_cl2388]) ).
thf(zip_derived_cl2916_084,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl3360,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl3359,zip_derived_cl2916]) ).
thf(zip_derived_cl33795,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl33539,zip_derived_cl3360]) ).
thf(zip_derived_cl36657,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl36656,zip_derived_cl33795]) ).
thf(zip_derived_cl1440_085,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( zip_tseitin_7 @ X0 )
| ( in @ ( sk__28 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl36658,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl36657,zip_derived_cl1440]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( element @ ( sk__2 @ X0 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1377,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( element @ ( sk__2 @ ( sk__1 @ X0 ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl33828_086,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33817]) ).
thf(zip_derived_cl2485_087,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2484]) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ omega )
| ( zip_tseitin_8 @ X1 @ X0 )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl756,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ X0 )
| ~ ( in @ X0 @ omega )
| ~ ( zip_tseitin_7 @ X1 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl155,zip_derived_cl152]) ).
thf(zip_derived_cl2495,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2485,zip_derived_cl756]) ).
thf(zip_derived_cl33894,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33828,zip_derived_cl2495]) ).
thf(zip_derived_cl34187,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ~ ( zip_tseitin_7 @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33894]) ).
thf(zip_derived_cl34373,plain,
( ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1377,zip_derived_cl34187]) ).
thf(zip_derived_cl2916_088,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl34498,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl34373,zip_derived_cl2916]) ).
thf(zip_derived_cl2388_089,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl34499,plain,
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl34498,zip_derived_cl2388]) ).
thf(zip_derived_cl36659,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36658,zip_derived_cl34499]) ).
thf(zip_derived_cl36660,plain,
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36659]) ).
thf(zip_derived_cl36661,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl36660]) ).
thf(zip_derived_cl0_090,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl36668,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl36661,zip_derived_cl0]) ).
thf(zip_derived_cl36669,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36668]) ).
thf(zip_derived_cl2388_091,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl36671,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl36669,zip_derived_cl2388]) ).
thf(zip_derived_cl33828_092,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl33817]) ).
thf(zip_derived_cl36672,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(clc,[status(thm)],[zip_derived_cl36671,zip_derived_cl33828]) ).
thf(zip_derived_cl2916_093,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl36673,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl36672,zip_derived_cl2916]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( ( sk__2 @ X0 )
!= empty_set )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl36674,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( empty_set != empty_set )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36673,zip_derived_cl2]) ).
thf(zip_derived_cl36903,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl36674]) ).
thf(zip_derived_cl2916_094,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2913]) ).
thf(zip_derived_cl37278,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl36903,zip_derived_cl2916]) ).
thf(zip_derived_cl37279,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl37278]) ).
thf(zip_derived_cl37289,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37279]) ).
thf(zip_derived_cl1777_095,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1772]) ).
thf(zip_derived_cl37453,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl37289,zip_derived_cl1777]) ).
thf(zip_derived_cl37458,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( ordinal @ sk_ )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33828,zip_derived_cl37453]) ).
thf(zip_derived_cl0_096,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37462,plain,
( ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl37458,zip_derived_cl0]) ).
thf(zip_derived_cl37463,plain,
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37462]) ).
thf(zip_derived_cl2388_097,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl0]) ).
thf(zip_derived_cl37476,plain,
zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl37463,zip_derived_cl2388]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl37477,plain,
sk__32 = sk__33,
inference('s_sup-',[status(thm)],[zip_derived_cl37476,zip_derived_cl134]) ).
thf(zip_derived_cl37482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( sk__32 != sk__34 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( zip_tseitin_11 @ X2 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl37477]) ).
thf(zip_derived_cl37476_098,plain,
zip_tseitin_2 @ sk__34 @ sk__33 @ sk__32,
inference(clc,[status(thm)],[zip_derived_cl37463,zip_derived_cl2388]) ).
thf(zip_derived_cl37477_099,plain,
sk__32 = sk__33,
inference('s_sup-',[status(thm)],[zip_derived_cl37476,zip_derived_cl134]) ).
thf(zip_derived_cl37484,plain,
zip_tseitin_2 @ sk__34 @ sk__32 @ sk__32,
inference(demod,[status(thm)],[zip_derived_cl37476,zip_derived_cl37477]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl37487,plain,
sk__32 = sk__34,
inference('s_sup-',[status(thm)],[zip_derived_cl37484,zip_derived_cl136]) ).
thf(zip_derived_cl37509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ( sk__32 != sk__32 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( zip_tseitin_11 @ X2 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl37482,zip_derived_cl37487]) ).
thf(zip_derived_cl37510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X1 @ X0 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37509]) ).
thf(zip_derived_cl37511,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl37510]) ).
thf(zip_derived_cl1388_100,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1387]) ).
thf(zip_derived_cl748_101,plain,
! [X0: $i,X1: $i] :
( ( sk__33 != sk__34 )
| ( zip_tseitin_12 @ X1 @ ( sk__35 @ X0 ) @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl138,zip_derived_cl168]) ).
thf(zip_derived_cl167_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_11 @ ( sk__31 @ X2 @ X0 ) @ X0 @ X2 )
| ~ ( zip_tseitin_12 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl753,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( sk__33 != sk__34 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl748,zip_derived_cl167]) ).
thf(zip_derived_cl37477_103,plain,
sk__32 = sk__33,
inference('s_sup-',[status(thm)],[zip_derived_cl37476,zip_derived_cl134]) ).
thf(zip_derived_cl37483,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( sk__32 != sk__34 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl753,zip_derived_cl37477]) ).
thf(zip_derived_cl37487_104,plain,
sk__32 = sk__34,
inference('s_sup-',[status(thm)],[zip_derived_cl37484,zip_derived_cl136]) ).
thf(zip_derived_cl37538,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( sk__32 != sk__32 )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl37483,zip_derived_cl37487]) ).
thf(zip_derived_cl37539,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37538]) ).
thf(zip_derived_cl772_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( X0
= ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl159]) ).
thf(zip_derived_cl37544,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl772]) ).
thf(zip_derived_cl37551,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1388,zip_derived_cl37544]) ).
thf(zip_derived_cl1388_106,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1387]) ).
thf(zip_derived_cl37539_107,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37538]) ).
thf(zip_derived_cl773_108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( ordinal @ ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl160]) ).
thf(zip_derived_cl37545,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( ordinal @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl773]) ).
thf(zip_derived_cl37563,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1388,zip_derived_cl37545]) ).
thf(zip_derived_cl37760,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37551,zip_derived_cl37563]) ).
thf(zip_derived_cl37768,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37760]) ).
thf(zip_derived_cl1384_109,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ X0 ) @ omega )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl37775,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37768,zip_derived_cl1384]) ).
thf(zip_derived_cl37837,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37511,zip_derived_cl37775]) ).
thf(zip_derived_cl37845,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37837]) ).
thf(zip_derived_cl37768_110,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37760]) ).
thf(zip_derived_cl37956,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega ) ),
inference(clc,[status(thm)],[zip_derived_cl37845,zip_derived_cl37768]) ).
thf(zip_derived_cl157_111,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ X0 )
| ( in @ X0 @ omega ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl37957,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ omega )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl37956,zip_derived_cl157]) ).
thf(zip_derived_cl37958,plain,
( ~ ( ordinal @ sk_ )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl37957]) ).
thf(zip_derived_cl0_112,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37959,plain,
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega ) ),
inference(demod,[status(thm)],[zip_derived_cl37958,zip_derived_cl0]) ).
thf(zip_derived_cl7_113,plain,
! [X1: $i] :
( ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37539_114,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37538]) ).
thf(zip_derived_cl163_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_11 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl37540,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( ( sk__31 @ X0 @ X1 )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl163]) ).
thf(zip_derived_cl37577,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ X0 )
| ( ( sk__31 @ X0 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
= ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl37540]) ).
thf(zip_derived_cl37539_116,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37538]) ).
thf(zip_derived_cl164_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( succ @ X1 ) )
| ~ ( zip_tseitin_11 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl37541,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( in @ ( sk__31 @ X0 @ X1 ) @ ( succ @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl164]) ).
thf(zip_derived_cl38140,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37577,zip_derived_cl37541]) ).
thf(zip_derived_cl38150,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl38140]) ).
thf(zip_derived_cl7_118,plain,
! [X1: $i] :
( ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38160,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl38150,zip_derived_cl7]) ).
thf(zip_derived_cl38192,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl38160]) ).
thf(zip_derived_cl0_119,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38193,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38218,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega,
inference(demod,[status(thm)],[zip_derived_cl37959,zip_derived_cl38193]) ).
thf(zip_derived_cl1395_120,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ( X1 = empty_set )
| ( in @ ( sk__5 @ X1 ) @ X1 )
| ~ ( in @ ( sk__1 @ X0 ) @ omega )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1394]) ).
thf(zip_derived_cl38265,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( X0 = empty_set )
| ( in @ ( sk__5 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38218,zip_derived_cl1395]) ).
thf(zip_derived_cl38783,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl38265]) ).
thf(zip_derived_cl9_121,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1440_122,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( zip_tseitin_7 @ X0 )
| ( in @ ( sk__28 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl9_123,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37544_124,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl772]) ).
thf(zip_derived_cl37550,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl37544]) ).
thf(zip_derived_cl9_125,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37539_126,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_11 @ ( sk__31 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37538]) ).
thf(zip_derived_cl771_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ X2 @ X0 @ X1 )
| ( zip_tseitin_9 @ ( sk__30 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl162,zip_derived_cl158]) ).
thf(zip_derived_cl37543,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_9 @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl771]) ).
thf(zip_derived_cl37590,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl37543]) ).
thf(zip_derived_cl37944,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37550,zip_derived_cl37590]) ).
thf(zip_derived_cl37952,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37944]) ).
thf(zip_derived_cl37511_128,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl37510]) ).
thf(zip_derived_cl37768_129,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37760]) ).
thf(zip_derived_cl1381_130,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl37773,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37768,zip_derived_cl1381]) ).
thf(zip_derived_cl38079,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37511,zip_derived_cl37773]) ).
thf(zip_derived_cl38087,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl38079]) ).
thf(zip_derived_cl37768_131,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37760]) ).
thf(zip_derived_cl38122,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl38087,zip_derived_cl37768]) ).
thf(zip_derived_cl38126,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37952,zip_derived_cl38122]) ).
thf(zip_derived_cl38129,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl38126]) ).
thf(zip_derived_cl9_132,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37540_133,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( ( sk__31 @ X0 @ X1 )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl163]) ).
thf(zip_derived_cl37579,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ( sk__31 @ X0 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
= ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl37540]) ).
thf(zip_derived_cl37541_134,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( in @ ( sk__31 @ X0 @ X1 ) @ ( succ @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl164]) ).
thf(zip_derived_cl38893,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37579,zip_derived_cl37541]) ).
thf(zip_derived_cl38905,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( sk__35 @ X0 ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl38893]) ).
thf(zip_derived_cl9_135,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38921,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl38905,zip_derived_cl9]) ).
thf(zip_derived_cl40028,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl38129,zip_derived_cl38921]) ).
thf(zip_derived_cl151_136,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( zip_tseitin_6 @ ( sk__28 @ X0 ) @ X0 )
| ( X0 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl1440_137,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( zip_tseitin_7 @ X0 )
| ( in @ ( sk__28 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl9_138,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37550_139,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl37544]) ).
thf(zip_derived_cl37952_140,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37944]) ).
thf(zip_derived_cl37768_141,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37760]) ).
thf(zip_derived_cl38193_142,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl1501_143,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( ordinal @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl773]) ).
thf(zip_derived_cl38224,plain,
( ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38193,zip_derived_cl1501]) ).
thf(zip_derived_cl38379,plain,
( ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37768,zip_derived_cl38224]) ).
thf(zip_derived_cl0_144,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38380,plain,
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38379,zip_derived_cl0]) ).
thf(zip_derived_cl38384,plain,
( ~ ( ordinal @ sk_ )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37952,zip_derived_cl38380]) ).
thf(zip_derived_cl0_145,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38388,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38384,zip_derived_cl0]) ).
thf(zip_derived_cl38450,plain,
( ~ ( ordinal @ sk_ )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37550,zip_derived_cl38388]) ).
thf(zip_derived_cl0_146,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38454,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38450,zip_derived_cl0]) ).
thf(zip_derived_cl38455,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl38454]) ).
thf(zip_derived_cl8_147,plain,
! [X1: $i] :
( ( ordinal @ ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37544_148,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl772]) ).
thf(zip_derived_cl37549,plain,
! [X0: $i] :
( ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl37544]) ).
thf(zip_derived_cl37549_149,plain,
! [X0: $i] :
( ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl37544]) ).
thf(zip_derived_cl8_150,plain,
! [X1: $i] :
( ( ordinal @ ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl37543_151,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_9 @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl771]) ).
thf(zip_derived_cl37589,plain,
! [X0: $i] :
( ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl37543]) ).
thf(zip_derived_cl37734,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37549,zip_derived_cl37589]) ).
thf(zip_derived_cl37742,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37734]) ).
thf(zip_derived_cl38380_152,plain,
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38379,zip_derived_cl0]) ).
thf(zip_derived_cl38382,plain,
( ~ ( ordinal @ sk_ )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37742,zip_derived_cl38380]) ).
thf(zip_derived_cl0_153,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38386,plain,
( ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38382,zip_derived_cl0]) ).
thf(zip_derived_cl38390,plain,
( ~ ( ordinal @ sk_ )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37549,zip_derived_cl38386]) ).
thf(zip_derived_cl0_154,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38394,plain,
( ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38390,zip_derived_cl0]) ).
thf(zip_derived_cl38395,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl38394]) ).
thf(zip_derived_cl38462,plain,
( ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38455,zip_derived_cl38395]) ).
thf(zip_derived_cl38469,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl1535_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ ( sk__1 @ X0 ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( subset @ X2 @ ( sk__3 @ X1 @ ( sk__1 @ X0 ) ) )
| ( ( sk__3 @ X1 @ ( sk__1 @ X0 ) )
= X2 )
| ~ ( zip_tseitin_6 @ X2 @ ( sk__2 @ ( sk__1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1380,zip_derived_cl764]) ).
thf(zip_derived_cl38476,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( subset @ X1 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38469,zip_derived_cl1535]) ).
thf(zip_derived_cl38193_156,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38483,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( subset @ X1 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38476,zip_derived_cl38193]) ).
thf(zip_derived_cl40061,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( subset @ X1 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl38483]) ).
thf(zip_derived_cl41103,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl40061]) ).
thf(zip_derived_cl150_157,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl46356,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl41103,zip_derived_cl150]) ).
thf(zip_derived_cl46357,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ~ ( subset @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl46356]) ).
thf(zip_derived_cl46358,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( subset @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl46357]) ).
thf(zip_derived_cl1377_158,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( element @ ( sk__2 @ ( sk__1 @ X0 ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl37952_159,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
= ( sk__4 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37944]) ).
thf(zip_derived_cl38218_160,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega,
inference(demod,[status(thm)],[zip_derived_cl37959,zip_derived_cl38193]) ).
thf(zip_derived_cl756_161,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ X0 )
| ~ ( in @ X0 @ omega )
| ~ ( zip_tseitin_7 @ X1 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl155,zip_derived_cl152]) ).
thf(zip_derived_cl38247,plain,
! [X0: $i] :
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38218,zip_derived_cl756]) ).
thf(zip_derived_cl38276,plain,
! [X0: $i] :
( ~ ( ordinal @ sk_ )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37952,zip_derived_cl38247]) ).
thf(zip_derived_cl0_162,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38280,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38276,zip_derived_cl0]) ).
thf(zip_derived_cl38427,plain,
( ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1377,zip_derived_cl38280]) ).
thf(zip_derived_cl38193_163,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38433,plain,
( ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38427,zip_derived_cl38193]) ).
thf(zip_derived_cl38469_164,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl38871,plain,
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38433,zip_derived_cl38469]) ).
thf(zip_derived_cl9_165,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38872,plain,
( ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl38871,zip_derived_cl9]) ).
thf(zip_derived_cl46406,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ~ ( subset @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl46358,zip_derived_cl38872]) ).
thf(zip_derived_cl46408,plain,
( ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ sk_ )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40028,zip_derived_cl46406]) ).
thf(zip_derived_cl38193_166,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl0_167,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl46412,plain,
( ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46408,zip_derived_cl38193,zip_derived_cl0]) ).
thf(zip_derived_cl46413,plain,
( ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46412]) ).
thf(zip_derived_cl9_168,plain,
! [X1: $i] :
( ( ( sk__1 @ X1 )
= ( sk__4 @ X1 ) )
| ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38469_169,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl1383_170,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ( ( sk__3 @ X1 @ ( sk__1 @ X0 ) )
!= X1 )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl38471,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38469,zip_derived_cl1383]) ).
thf(zip_derived_cl38193_171,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38478,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl38471,zip_derived_cl38193]) ).
thf(zip_derived_cl38488,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl38478]) ).
thf(zip_derived_cl46416,plain,
( ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl46413,zip_derived_cl38488]) ).
thf(zip_derived_cl46417,plain,
( ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl46416]) ).
thf(zip_derived_cl46418,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46417]) ).
thf(zip_derived_cl38872_172,plain,
( ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl38871,zip_derived_cl9]) ).
thf(zip_derived_cl46419,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl46418,zip_derived_cl38872]) ).
thf(zip_derived_cl2_173,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( ( sk__2 @ X0 )
!= empty_set )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl46420,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( empty_set != empty_set )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46419,zip_derived_cl2]) ).
thf(zip_derived_cl38469_174,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl46584,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( empty_set != empty_set )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl46420,zip_derived_cl38469]) ).
thf(zip_derived_cl46585,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46584]) ).
thf(zip_derived_cl46676,plain,
! [X0: $i] :
( ( ( sk__1 @ X0 )
= ( sk__4 @ X0 ) )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl46585]) ).
thf(zip_derived_cl46704,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl46676]) ).
thf(zip_derived_cl46705,plain,
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl46704]) ).
thf(zip_derived_cl38193_175,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl46706,plain,
( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__4 @ ( sk__35 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46705,zip_derived_cl38193]) ).
thf(zip_derived_cl1569_176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__1 @ X2 ) @ X2 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__4 @ X2 ) ) ) )
| ( X0 = empty_set )
| ~ ( in @ ( sk__27 @ X1 @ ( sk__5 @ X0 ) ) @ X0 )
| ~ ( in @ ( sk__4 @ X2 ) @ omega )
| ( zip_tseitin_6 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( in @ ( sk__5 @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1488,zip_derived_cl760]) ).
thf(zip_derived_cl46794,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( X0 = empty_set )
| ~ ( in @ ( sk__27 @ X1 @ ( sk__5 @ X0 ) ) @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega )
| ( zip_tseitin_6 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( in @ ( sk__5 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46706,zip_derived_cl1569]) ).
thf(zip_derived_cl38218_177,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ omega,
inference(demod,[status(thm)],[zip_derived_cl37959,zip_derived_cl38193]) ).
thf(zip_derived_cl46799,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( X0 = empty_set )
| ~ ( in @ ( sk__27 @ X1 @ ( sk__5 @ X0 ) ) @ X0 )
| ( zip_tseitin_6 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( in @ ( sk__5 @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl46794,zip_derived_cl38218]) ).
thf(zip_derived_cl47038,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( in @ ( sk__27 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38783,zip_derived_cl46799]) ).
thf(zip_derived_cl47045,plain,
( ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__27 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( element @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl47038]) ).
thf(zip_derived_cl758_178,plain,
! [X0: $i] :
( ( element @ ( sk__29 @ X0 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ( zip_tseitin_9 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl154,zip_derived_cl156]) ).
thf(zip_derived_cl47152,plain,
( ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__27 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47045,zip_derived_cl758]) ).
thf(zip_derived_cl47153,plain,
( ~ ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl762,zip_derived_cl47152]) ).
thf(zip_derived_cl47154,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl47153]) ).
thf(zip_derived_cl38783_179,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl38265]) ).
thf(zip_derived_cl47158,plain,
( ( zip_tseitin_6 @ ( sk__5 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47154,zip_derived_cl38783]) ).
thf(zip_derived_cl150_180,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl47160,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( zip_tseitin_7 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47158,zip_derived_cl150]) ).
thf(zip_derived_cl149_181,plain,
! [X0: $i] :
( ( X0 != empty_set )
| ~ ( zip_tseitin_7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl47165,plain,
( ~ ( zip_tseitin_7 @ ( sk__29 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47160,zip_derived_cl149]) ).
thf(zip_derived_cl757_182,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__29 @ X0 ) )
| ( zip_tseitin_9 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl153,zip_derived_cl156]) ).
thf(zip_derived_cl47166,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47165,zip_derived_cl757]) ).
thf(zip_derived_cl37543_183,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_9 @ ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl771]) ).
thf(zip_derived_cl47170,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ sk_ )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47166,zip_derived_cl37543]) ).
thf(zip_derived_cl0_184,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl47282,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_9 @ ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47170,zip_derived_cl0]) ).
thf(zip_derived_cl47166_185,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47165,zip_derived_cl757]) ).
thf(zip_derived_cl37544_186,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X1 @ ( sk__35 @ X0 ) )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37539,zip_derived_cl772]) ).
thf(zip_derived_cl47171,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ sk_ )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47166,zip_derived_cl37544]) ).
thf(zip_derived_cl0_187,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl47283,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47171,zip_derived_cl0]) ).
thf(zip_derived_cl38193_188,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl1500_189,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( X1
= ( sk__30 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl772]) ).
thf(zip_derived_cl38223,plain,
( ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38193,zip_derived_cl1500]) ).
thf(zip_derived_cl38469_190,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl38552,plain,
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38223,zip_derived_cl38469]) ).
thf(zip_derived_cl47351,plain,
( ( sk__1 @ ( sk__35 @ sk_ ) )
= ( sk__30 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47283,zip_derived_cl38552]) ).
thf(zip_derived_cl47378,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47282,zip_derived_cl47351]) ).
thf(zip_derived_cl47379,plain,
zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl47378]) ).
thf(zip_derived_cl37511_191,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl37510]) ).
thf(zip_derived_cl37511_192,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl37510]) ).
thf(zip_derived_cl37511_193,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl37510]) ).
thf(zip_derived_cl38469_194,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl1381_195,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ X1 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
| ( subset @ X1 @ ( sk__3 @ X1 @ ( sk__1 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl38470,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38469,zip_derived_cl1381]) ).
thf(zip_derived_cl38193_196,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38477,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38470,zip_derived_cl38193]) ).
thf(zip_derived_cl38800,plain,
! [X0: $i] :
( ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37511,zip_derived_cl38477]) ).
thf(zip_derived_cl0_197,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38469_198,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl38193_199,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38807,plain,
! [X0: $i] :
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38800,zip_derived_cl0,zip_derived_cl38469,zip_derived_cl38193]) ).
thf(zip_derived_cl47379_200,plain,
zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl47378]) ).
thf(zip_derived_cl47384,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( subset @ X0 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38807,zip_derived_cl47379]) ).
thf(zip_derived_cl151_201,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ( zip_tseitin_6 @ ( sk__28 @ X0 ) @ X0 )
| ( X0 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl1440_202,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( zip_tseitin_7 @ X0 )
| ( in @ ( sk__28 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl37511_203,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl37510]) ).
thf(zip_derived_cl38483_204,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( subset @ X1 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38476,zip_derived_cl38193]) ).
thf(zip_derived_cl40058,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( subset @ X1 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37511,zip_derived_cl38483]) ).
thf(zip_derived_cl0_205,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38469_206,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl38193_207,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl40065,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( subset @ X1 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40058,zip_derived_cl0,zip_derived_cl38469,zip_derived_cl38193]) ).
thf(zip_derived_cl47379_208,plain,
zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl47378]) ).
thf(zip_derived_cl47397,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ~ ( subset @ X1 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X1 )
| ~ ( zip_tseitin_6 @ X1 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40065,zip_derived_cl47379]) ).
thf(zip_derived_cl47654,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl47397]) ).
thf(zip_derived_cl150_209,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl48042,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= X0 )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl47654,zip_derived_cl150]) ).
thf(zip_derived_cl48043,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ~ ( subset @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl48042]) ).
thf(zip_derived_cl48044,plain,
( ~ ( subset @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl48043]) ).
thf(zip_derived_cl48286,plain,
( ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47384,zip_derived_cl48044]) ).
thf(zip_derived_cl1440_210,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( zip_tseitin_7 @ X0 )
| ( in @ ( sk__28 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl48291,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl48286,zip_derived_cl1440]) ).
thf(zip_derived_cl47166_211,plain,
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47165,zip_derived_cl757]) ).
thf(zip_derived_cl38478_212,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl38471,zip_derived_cl38193]) ).
thf(zip_derived_cl47216,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47166,zip_derived_cl38478]) ).
thf(zip_derived_cl37511_213,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( succ @ X0 ) )
| ~ ( ordinal @ X1 )
| ~ ( zip_tseitin_9 @ X1 )
| ( in @ X1 @ ( sk__35 @ X0 ) )
| ~ ( ordinal @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1495,zip_derived_cl37510]) ).
thf(zip_derived_cl38478_214,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl38471,zip_derived_cl38193]) ).
thf(zip_derived_cl38485,plain,
! [X0: $i] :
( ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37511,zip_derived_cl38478]) ).
thf(zip_derived_cl0_215,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl38469_216,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl38193_217,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38492,plain,
! [X0: $i] :
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl38485,zip_derived_cl0,zip_derived_cl38469,zip_derived_cl38193]) ).
thf(zip_derived_cl47349,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
!= X0 )
| ~ ( in @ X0 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47216,zip_derived_cl38492]) ).
thf(zip_derived_cl48296,plain,
( ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
!= ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) )
| ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48291,zip_derived_cl47349]) ).
thf(zip_derived_cl48306,plain,
( ~ ( in @ ( sk__28 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48296]) ).
thf(zip_derived_cl1440_218,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( zip_tseitin_7 @ X0 )
| ( in @ ( sk__28 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl48310,plain,
( ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl48306,zip_derived_cl1440]) ).
thf(zip_derived_cl1377_219,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( element @ ( sk__2 @ ( sk__1 @ X0 ) ) @ ( powerset @ ( powerset @ ( sk__1 @ X0 ) ) ) )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl38247_220,plain,
! [X0: $i] :
( ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38218,zip_derived_cl756]) ).
thf(zip_derived_cl47379_221,plain,
zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl47378]) ).
thf(zip_derived_cl47380,plain,
! [X0: $i] :
( ~ ( zip_tseitin_7 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38247,zip_derived_cl47379]) ).
thf(zip_derived_cl47519,plain,
( ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1377,zip_derived_cl47380]) ).
thf(zip_derived_cl38469_222,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl38193_223,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl47525,plain,
( ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) )
| ~ ( zip_tseitin_7 @ ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47519,zip_derived_cl38469,zip_derived_cl38193]) ).
thf(zip_derived_cl48311,plain,
( ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( sk__35 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48310,zip_derived_cl47525]) ).
thf(zip_derived_cl48312,plain,
( ~ ( ordinal @ sk_ )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37511,zip_derived_cl48311]) ).
thf(zip_derived_cl0_224,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl47379_225,plain,
zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl47378]) ).
thf(zip_derived_cl38469_226,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl38193_227,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl48319,plain,
( ( sk__2 @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl48312,zip_derived_cl0,zip_derived_cl47379,zip_derived_cl38469,zip_derived_cl38193]) ).
thf(zip_derived_cl2_228,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( ( sk__1 @ X1 )
!= X0 )
| ( ( sk__2 @ X0 )
!= empty_set )
| ~ ( in @ ( sk__1 @ X1 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl48427,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( empty_set != empty_set )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48319,zip_derived_cl2]) ).
thf(zip_derived_cl38469_229,plain,
ordinal @ ( sk__1 @ ( sk__35 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl38462]) ).
thf(zip_derived_cl48452,plain,
! [X0: $i] :
( ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ( empty_set != empty_set )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl48427,zip_derived_cl38469]) ).
thf(zip_derived_cl48453,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl48452]) ).
thf(zip_derived_cl48480,plain,
! [X0: $i] :
( ~ ( ordinal @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ( ( sk__1 @ ( sk__35 @ X0 ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37511,zip_derived_cl48453]) ).
thf(zip_derived_cl37768_230,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37760]) ).
thf(zip_derived_cl48596,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__35 @ X0 ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ X0 ) ) @ ( succ @ X0 ) )
| ~ ( zip_tseitin_9 @ ( sk__1 @ ( sk__35 @ X0 ) ) )
| ~ ( ordinal @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl48480,zip_derived_cl37768]) ).
thf(zip_derived_cl48601,plain,
( ( ( sk__1 @ ( sk__35 @ sk_ ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ) )
| ~ ( ordinal @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47379,zip_derived_cl48596]) ).
thf(zip_derived_cl38193_231,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl38193_232,plain,
in @ ( sk__1 @ ( sk__35 @ sk_ ) ) @ ( succ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl38192,zip_derived_cl0]) ).
thf(zip_derived_cl0_233,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl48605,plain,
( ( sk__1 @ ( sk__35 @ sk_ ) )
!= ( sk__1 @ ( sk__35 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48601,zip_derived_cl38193,zip_derived_cl38193,zip_derived_cl0]) ).
thf(zip_derived_cl48606,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl48605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU299+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o8EaEvkPr4 true
% 0.13/0.35 % Computer : n025.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 : Wed Aug 23 23:36:05 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
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 212.82/31.19 % Solved by fo/fo6_bce.sh.
% 212.82/31.19 % BCE start: 169
% 212.82/31.19 % BCE eliminated: 14
% 212.82/31.19 % PE start: 155
% 212.82/31.19 logic: eq
% 212.82/31.19 % PE eliminated: 13
% 212.82/31.19 % done 10827 iterations in 30.429s
% 212.82/31.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 212.82/31.19 % SZS output start Refutation
% See solution above
% 212.82/31.20
% 212.82/31.20
% 212.82/31.20 % Terminating...
% 213.91/31.32 % Runner terminated.
% 213.91/31.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------