TSTP Solution File: SEU314+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8F0t76vIHA true
% Computer : n005.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 19:12:04 EDT 2023
% Result : Theorem 12.04s 2.29s
% Output : Refutation 12.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 43
% Syntax : Number of formulae : 275 ( 27 unt; 32 typ; 0 def)
% Number of atoms : 676 ( 116 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 4992 ( 176 ~; 370 |; 44 &;4383 @)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 88 ( 88 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 3 con; 0-5 aty)
% Number of variables : 317 ( 0 ^; 303 !; 14 ?; 317 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(closed_subset_type,type,
closed_subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(s1_xboole_0__e1_40__pre_topc__1,conjecture,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
& ? [E: $i] :
( ( subset @ B @ D )
& ( closed_subset @ E @ A )
& ( E = D )
& ( element @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
& ? [E: $i] :
( ( subset @ B @ D )
& ( closed_subset @ E @ A )
& ( E = D )
& ( element @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e1_40__pre_topc__1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
= ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
element @ sk__1 @ ( powerset @ ( the_carrier @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_tarski__e1_40__pre_topc__1,axiom,
! [A: $i,B: $i] :
( ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
& ( top_str @ A )
& ( topological_space @ A ) )
=> ( ! [C: $i,D: $i,E: $i] :
( ( ? [G: $i] :
( ( element @ G @ ( powerset @ ( the_carrier @ A ) ) )
& ( G = E )
& ( closed_subset @ G @ A )
& ( subset @ B @ E ) )
& ( C = E )
& ? [F: $i] :
( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
& ( F = D )
& ( closed_subset @ F @ A )
& ( subset @ B @ D ) )
& ( C = D ) )
=> ( D = E ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ ( powerset @ ( the_carrier @ A ) ) )
& ( E = D )
& ? [H: $i] :
( ( element @ H @ ( powerset @ ( the_carrier @ A ) ) )
& ( H = D )
& ( closed_subset @ H @ A )
& ( subset @ B @ D ) ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_6 @ D @ C @ B @ A )
=> ( ( in @ D @ C )
<=> ? [E: $i] : ( zip_tseitin_5 @ E @ D @ B @ A ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_5 @ E @ D @ B @ A )
<=> ( ? [H: $i] : ( zip_tseitin_4 @ H @ D @ B @ A )
& ( E = D )
& ( in @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [H: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_4 @ H @ D @ B @ A )
<=> ( ( subset @ B @ D )
& ( closed_subset @ H @ A )
& ( H = D )
& ( element @ H @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( zip_tseitin_2 @ E @ D @ C @ B @ A )
=> ( D = E ) )
=> ( zip_tseitin_3 @ E @ D @ C @ B @ A ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_2 @ E @ D @ C @ B @ A )
=> ( ( C = D )
& ? [F: $i] : ( zip_tseitin_1 @ F @ D @ B @ A )
& ( C = E )
& ? [G: $i] : ( zip_tseitin_0 @ G @ E @ B @ A ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [F: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_1 @ F @ D @ B @ A )
=> ( ( subset @ B @ D )
& ( closed_subset @ F @ A )
& ( F = D )
& ( element @ F @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [G: $i,E: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ G @ E @ B @ A )
=> ( ( subset @ B @ E )
& ( closed_subset @ G @ A )
& ( G = E )
& ( element @ G @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ).
thf(zf_stmt_15,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ! [C: $i,D: $i,E: $i] : ( zip_tseitin_3 @ E @ D @ C @ B @ A )
=> ? [C: $i] :
! [D: $i] : ( zip_tseitin_6 @ D @ C @ B @ A ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( zip_tseitin_6 @ X2 @ ( sk__15 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__14 @ X1 @ X0 ) @ ( sk__13 @ X1 @ X0 ) @ ( sk__12 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl396,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( topological_space @ sk_ )
| ~ ( top_str @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl93]) ).
thf(zip_derived_cl7,plain,
topological_space @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
top_str @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl401,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i] :
( ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
= ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl401_003,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl404,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl401]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_5 @ ( sk__11 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl408,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl92]) ).
thf(zip_derived_cl410,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl408]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__10 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl412,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl87]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl504,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl84]) ).
thf(zip_derived_cl412_004,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl87]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( closed_subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl502,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( closed_subset @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl83]) ).
thf(zip_derived_cl540,plain,
( ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl502]) ).
thf(zip_derived_cl543,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl540]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
= ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( X1
!= ( sk__2 @ X0 ) )
| ~ ( closed_subset @ X1 @ sk_ )
| ~ ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ~ ( closed_subset @ ( sk__2 @ X0 ) @ sk_ )
| ~ ( element @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl119,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
= ( sk__2 @ X0 ) )
| ~ ( element @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ X0 ) @ sk_ )
| ~ ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl95]) ).
thf(zip_derived_cl545,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl119]) ).
thf(zip_derived_cl547,plain,
( ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl545]) ).
thf(zip_derived_cl504_006,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl84]) ).
thf(zip_derived_cl412_007,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl87]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl503,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( element @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl85]) ).
thf(zip_derived_cl541,plain,
( ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl503]) ).
thf(zip_derived_cl544,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl541]) ).
thf(zip_derived_cl598,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl547,zip_derived_cl544]) ).
thf(zip_derived_cl410_008,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl408]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl413,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl88]) ).
thf(zip_derived_cl410_009,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl408]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl414,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( in @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl89]) ).
thf(zip_derived_cl420,plain,
( ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl413,zip_derived_cl414]) ).
thf(zip_derived_cl421,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl420]) ).
thf(zip_derived_cl599,plain,
( ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl598,zip_derived_cl421]) ).
thf(zip_derived_cl412_010,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl87]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl501,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl82]) ).
thf(zip_derived_cl600,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl599,zip_derived_cl501]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( closed_subset @ ( sk__3 @ X0 ) @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( element @ ( sk__3 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl408_011,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl92]) ).
thf(zip_derived_cl409,plain,
( ( element @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl408]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ( X0 != X1 )
| ~ ( closed_subset @ X0 @ X3 )
| ~ ( subset @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( closed_subset @ X0 @ X2 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X2 ) ) )
| ( zip_tseitin_4 @ X0 @ X0 @ X1 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl458,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ~ ( closed_subset @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl328]) ).
thf(zip_derived_cl900,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl458]) ).
thf(zip_derived_cl408_012,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl92]) ).
thf(zip_derived_cl1112,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ~ ( subset @ X0 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl900,zip_derived_cl408]) ).
thf(zip_derived_cl1113,plain,
( ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl1112]) ).
thf(zip_derived_cl88_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1117,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1113,zip_derived_cl88]) ).
thf(zip_derived_cl1113_014,plain,
( ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl1112]) ).
thf(zip_derived_cl1120,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1117,zip_derived_cl1113]) ).
thf(zip_derived_cl1121,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1120]) ).
thf(zip_derived_cl85_015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1130,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( element @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1121,zip_derived_cl85]) ).
thf(zip_derived_cl1176,plain,
( ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl600,zip_derived_cl1130]) ).
thf(zip_derived_cl1177,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1176]) ).
thf(zip_derived_cl328_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( closed_subset @ X0 @ X2 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X2 ) ) )
| ( zip_tseitin_4 @ X0 @ X0 @ X1 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl1210,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ X0 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1177,zip_derived_cl328]) ).
thf(zip_derived_cl600_017,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl599,zip_derived_cl501]) ).
thf(zip_derived_cl1121_018,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1120]) ).
thf(zip_derived_cl83_019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( closed_subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1129,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( closed_subset @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1121,zip_derived_cl83]) ).
thf(zip_derived_cl1138,plain,
( ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl600,zip_derived_cl1129]) ).
thf(zip_derived_cl1139,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1138]) ).
thf(zip_derived_cl1307,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1210,zip_derived_cl1139]) ).
thf(zip_derived_cl1309,plain,
( ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1307]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ( X0 != X1 )
| ~ ( zip_tseitin_4 @ X4 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_4 @ X3 @ X2 @ X1 @ X0 )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( zip_tseitin_5 @ X2 @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ X0 ) @ ( sk__2 @ X0 ) @ X1 @ sk_ )
| ~ ( zip_tseitin_4 @ X2 @ ( sk__2 @ X0 ) @ X1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl321]) ).
thf(zip_derived_cl1421,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1309,zip_derived_cl325]) ).
thf(zip_derived_cl408_020,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl92]) ).
thf(zip_derived_cl1423,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1421,zip_derived_cl408]) ).
thf(zip_derived_cl1425,plain,
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1423]) ).
thf(zip_derived_cl88_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1443,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1425,zip_derived_cl88]) ).
thf(zip_derived_cl1425_022,plain,
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1423]) ).
thf(zip_derived_cl1451,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1443,zip_derived_cl1425]) ).
thf(zip_derived_cl1455,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1451]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X1 @ X4 )
| ~ ( zip_tseitin_6 @ X1 @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1459,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl91]) ).
thf(zip_derived_cl95_023,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ~ ( closed_subset @ ( sk__2 @ X0 ) @ sk_ )
| ~ ( element @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl1621,plain,
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1459,zip_derived_cl95]) ).
thf(zip_derived_cl404_024,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl401]) ).
thf(zip_derived_cl1643,plain,
( ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1621,zip_derived_cl404]) ).
thf(zip_derived_cl1455_025,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1451]) ).
thf(zip_derived_cl89_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1458,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl89]) ).
thf(zip_derived_cl1644,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1643,zip_derived_cl1458]) ).
thf(zip_derived_cl1455_027,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1451]) ).
thf(zip_derived_cl87_028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__10 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1456,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl87]) ).
thf(zip_derived_cl84_029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1465,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1456,zip_derived_cl84]) ).
thf(zip_derived_cl1456_030,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl87]) ).
thf(zip_derived_cl85_031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1464,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( element @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1456,zip_derived_cl85]) ).
thf(zip_derived_cl1517,plain,
( ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1465,zip_derived_cl1464]) ).
thf(zip_derived_cl1518,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1517]) ).
thf(zip_derived_cl1645,plain,
( ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1644,zip_derived_cl1518]) ).
thf(zip_derived_cl1456_032,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl87]) ).
thf(zip_derived_cl82_033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1462,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1456,zip_derived_cl82]) ).
thf(zip_derived_cl1646,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1645,zip_derived_cl1462]) ).
thf(zip_derived_cl1465_034,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1456,zip_derived_cl84]) ).
thf(zip_derived_cl1456_035,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl87]) ).
thf(zip_derived_cl83_036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( closed_subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1463,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( closed_subset @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1456,zip_derived_cl83]) ).
thf(zip_derived_cl1474,plain,
( ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1465,zip_derived_cl1463]) ).
thf(zip_derived_cl1476,plain,
( ( zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1474]) ).
thf(zip_derived_cl1647,plain,
zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_,
inference(clc,[status(thm)],[zip_derived_cl1646,zip_derived_cl1476]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X2 @ X0 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl1648,plain,
( ( sk__12 @ sk__1 @ sk_ )
= ( sk__13 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1647,zip_derived_cl76]) ).
thf(zip_derived_cl1652,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl401,zip_derived_cl1648]) ).
thf(zip_derived_cl1647_037,plain,
zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__13 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_,
inference(clc,[status(thm)],[zip_derived_cl1646,zip_derived_cl1476]) ).
thf(zip_derived_cl1648_038,plain,
( ( sk__12 @ sk__1 @ sk_ )
= ( sk__13 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1647,zip_derived_cl76]) ).
thf(zip_derived_cl1653,plain,
zip_tseitin_2 @ ( sk__14 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ ( sk__12 @ sk__1 @ sk_ ) @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl1647,zip_derived_cl1648]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl1657,plain,
( ( sk__12 @ sk__1 @ sk_ )
= ( sk__14 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1653,zip_derived_cl78]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( zip_tseitin_3 @ X3 @ X3 @ X2 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl1659,plain,
! [X0: $i] : ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1652,zip_derived_cl1657,zip_derived_cl207]) ).
thf(zip_derived_cl92_039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_5 @ ( sk__11 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1661,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1659,zip_derived_cl92]) ).
thf(zip_derived_cl1663,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1661]) ).
thf(zip_derived_cl87_040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__10 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1752,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl87]) ).
thf(zip_derived_cl84_041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1836,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl84]) ).
thf(zip_derived_cl1752_042,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl87]) ).
thf(zip_derived_cl85_043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1835,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( element @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl85]) ).
thf(zip_derived_cl1882,plain,
( ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1836,zip_derived_cl1835]) ).
thf(zip_derived_cl1883,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1882]) ).
thf(zip_derived_cl1836_044,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl84]) ).
thf(zip_derived_cl1752_045,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl87]) ).
thf(zip_derived_cl83_046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( closed_subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1834,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( closed_subset @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl83]) ).
thf(zip_derived_cl1843,plain,
( ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1836,zip_derived_cl1834]) ).
thf(zip_derived_cl1844,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1843]) ).
thf(zip_derived_cl1752_047,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl87]) ).
thf(zip_derived_cl82_048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1833,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl82]) ).
thf(zip_derived_cl1663_049,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1661]) ).
thf(zip_derived_cl91_050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X1 @ X4 )
| ~ ( zip_tseitin_6 @ X1 @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1755,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl91]) ).
thf(zip_derived_cl95_051,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ~ ( closed_subset @ ( sk__2 @ X0 ) @ sk_ )
| ~ ( element @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl1820,plain,
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1755,zip_derived_cl95]) ).
thf(zip_derived_cl1659_052,plain,
! [X0: $i] : ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1652,zip_derived_cl1657,zip_derived_cl207]) ).
thf(zip_derived_cl1822,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1820,zip_derived_cl1659]) ).
thf(zip_derived_cl1663_053,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1661]) ).
thf(zip_derived_cl88_054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1753,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl88]) ).
thf(zip_derived_cl1663_055,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1661]) ).
thf(zip_derived_cl89_056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1754,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( in @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl89]) ).
thf(zip_derived_cl1760,plain,
( ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1753,zip_derived_cl1754]) ).
thf(zip_derived_cl1761,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1760]) ).
thf(zip_derived_cl1828,plain,
( ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1822,zip_derived_cl1761]) ).
thf(zip_derived_cl1838,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl1828]) ).
thf(zip_derived_cl1839,plain,
( ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1838]) ).
thf(zip_derived_cl1847,plain,
( ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl1839]) ).
thf(zip_derived_cl1849,plain,
( ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1847]) ).
thf(zip_derived_cl1885,plain,
( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1883,zip_derived_cl1849]) ).
thf(zip_derived_cl3_057,plain,
! [X0: $i] :
( ( closed_subset @ ( sk__3 @ X0 ) @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1892,plain,
( ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1885,zip_derived_cl3]) ).
thf(zip_derived_cl1_058,plain,
! [X0: $i] :
( ( element @ ( sk__3 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1661_059,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1659,zip_derived_cl92]) ).
thf(zip_derived_cl1662,plain,
( ( element @ ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1661]) ).
thf(zip_derived_cl1885_060,plain,
( ( sk__3 @ ( sk__15 @ sk__1 @ sk_ ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1883,zip_derived_cl1849]) ).
thf(zip_derived_cl1886,plain,
( ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1662,zip_derived_cl1885]) ).
thf(zip_derived_cl328_061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( closed_subset @ X0 @ X2 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X2 ) ) )
| ( zip_tseitin_4 @ X0 @ X0 @ X1 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl1929,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ X0 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1886,zip_derived_cl328]) ).
thf(zip_derived_cl1957,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) )
| ~ ( subset @ X0 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1892,zip_derived_cl1929]) ).
thf(zip_derived_cl1661_062,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1659,zip_derived_cl92]) ).
thf(zip_derived_cl1979,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk_ )
| ~ ( subset @ X0 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1957,zip_derived_cl1661]) ).
thf(zip_derived_cl1981,plain,
( ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1979]) ).
thf(zip_derived_cl1661_063,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1659,zip_derived_cl92]) ).
thf(zip_derived_cl1988,plain,
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1981,zip_derived_cl1661]) ).
thf(zip_derived_cl87_064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__10 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1989,plain,
( ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl87]) ).
thf(zip_derived_cl84_065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl2032,plain,
( ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1989,zip_derived_cl84]) ).
thf(zip_derived_cl1989_066,plain,
( ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl87]) ).
thf(zip_derived_cl2045,plain,
( ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl2032,zip_derived_cl1989]) ).
thf(zip_derived_cl2047,plain,
zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl2045]) ).
thf(zip_derived_cl325_067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ X0 ) @ ( sk__2 @ X0 ) @ X1 @ sk_ )
| ~ ( zip_tseitin_4 @ X2 @ ( sk__2 @ X0 ) @ X1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl321]) ).
thf(zip_derived_cl2053,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2047,zip_derived_cl325]) ).
thf(zip_derived_cl1661_068,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__15 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1659,zip_derived_cl92]) ).
thf(zip_derived_cl2119,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2053,zip_derived_cl1661]) ).
thf(zip_derived_cl88_069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl2139,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2119,zip_derived_cl88]) ).
thf(zip_derived_cl2119_070,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__11 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2053,zip_derived_cl1661]) ).
thf(zip_derived_cl2142,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl2139,zip_derived_cl2119]) ).
thf(zip_derived_cl2143,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl2142]) ).
thf(zip_derived_cl91_071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X1 @ X4 )
| ~ ( zip_tseitin_6 @ X1 @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl2147,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2143,zip_derived_cl91]) ).
thf(zip_derived_cl95_072,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( subset @ sk__1 @ ( sk__2 @ X0 ) )
| ~ ( closed_subset @ ( sk__2 @ X0 ) @ sk_ )
| ~ ( element @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl2173,plain,
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_ )
| ~ ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2147,zip_derived_cl95]) ).
thf(zip_derived_cl1659_073,plain,
! [X0: $i] : ( zip_tseitin_6 @ X0 @ ( sk__15 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1652,zip_derived_cl1657,zip_derived_cl207]) ).
thf(zip_derived_cl2047_074,plain,
zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl2045]) ).
thf(zip_derived_cl85_075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl2051,plain,
element @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2047,zip_derived_cl85]) ).
thf(zip_derived_cl2047_076,plain,
zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl2045]) ).
thf(zip_derived_cl83_077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( closed_subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl2050,plain,
closed_subset @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl2047,zip_derived_cl83]) ).
thf(zip_derived_cl1989_078,plain,
( ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__10 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1988,zip_derived_cl87]) ).
thf(zip_derived_cl82_079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl2029,plain,
( ( zip_tseitin_4 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1989,zip_derived_cl82]) ).
thf(zip_derived_cl82_080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl2034,plain,
subset @ sk__1 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl2029,zip_derived_cl82]) ).
thf(zip_derived_cl2143_081,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl2142]) ).
thf(zip_derived_cl89_082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl2146,plain,
in @ ( sk__2 @ ( sk__15 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2143,zip_derived_cl89]) ).
thf(zip_derived_cl2175,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2173,zip_derived_cl1659,zip_derived_cl2051,zip_derived_cl2050,zip_derived_cl2034,zip_derived_cl2146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8F0t76vIHA true
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 21:09:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.04/2.29 % Solved by fo/fo7.sh.
% 12.04/2.29 % done 1493 iterations in 1.493s
% 12.04/2.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.04/2.29 % SZS output start Refutation
% See solution above
% 12.04/2.29
% 12.04/2.29
% 12.04/2.29 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 12.04/2.29 % Terminating...
% 12.48/2.41 % Runner terminated.
% 12.48/2.42 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------