TSTP Solution File: SEU310+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU310+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.l3fiunV0Y2 true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:12:02 EDT 2023
% Result : Theorem 1.05s 1.89s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 31
% Syntax : Number of formulae : 187 ( 30 unt; 24 typ; 0 def)
% Number of atoms : 551 ( 148 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 2941 ( 277 ~; 352 |; 20 &;2276 @)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 3 con; 0-5 aty)
% Number of variables : 297 ( 0 ^; 291 !; 6 ?; 297 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(s1_xboole_0__e2_37_1_1__pre_topc__1,conjecture,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
& ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
& ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ X0 ) ) @ sk__1 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_tarski__e2_37_1_1__pre_topc__1,axiom,
! [A: $i,B: $i] :
( ( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
& ( top_str @ A )
& ( topological_space @ A ) )
=> ( ! [C: $i,D: $i,E: $i] :
( ( ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ E ) @ B )
& ( C = E )
& ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B )
& ( C = D ) )
=> ( D = E ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ ( powerset @ ( the_carrier @ A ) ) )
& ( E = D )
& ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_2 @ E @ D @ B @ A )
<=> ( ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B )
& ( E = D )
& ( in @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ( X0 != X1 )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ X3 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
top_str @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_2,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( zip_tseitin_0 @ E @ D @ C @ B @ A )
=> ( D = E ) )
=> ( zip_tseitin_1 @ E @ D @ C @ B @ A ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4,plain,
topological_space @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_3,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_3 @ D @ C @ B @ A )
=> ( ( in @ D @ C )
<=> ? [E: $i] : ( zip_tseitin_2 @ E @ D @ B @ A ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zf_stmt_6,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_7,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ E @ D @ C @ B @ A )
=> ( ( C = D )
& ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B )
& ( C = E )
& ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ E ) @ B ) ) ) ).
thf(zf_stmt_9,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) )
=> ( ! [C: $i,D: $i,E: $i] : ( zip_tseitin_1 @ E @ D @ C @ B @ A )
=> ? [C: $i] :
! [D: $i] : ( zip_tseitin_3 @ D @ C @ B @ A ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ X0 ) ) ) )
| ( zip_tseitin_3 @ X2 @ ( sk__11 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__10 @ X1 @ X0 ) @ ( sk__9 @ X1 @ X0 ) @ ( sk__8 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl408,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ( zip_tseitin_3 @ X1 @ ( sk__11 @ X0 @ sk_ ) @ X0 @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl94]) ).
thf(zip_derived_cl410,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_3 @ X1 @ ( sk__11 @ X0 @ sk_ ) @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl408]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X1 @ X4 )
| ~ ( zip_tseitin_3 @ X1 @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ )
| ( zip_tseitin_0 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl410,zip_derived_cl92]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl413,zip_derived_cl84]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl417]) ).
thf(zip_derived_cl475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ( X2 != X1 )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl91,zip_derived_cl441]) ).
thf(zip_derived_cl1551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( X2 != X1 )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl475]) ).
thf(zip_derived_cl1552,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ~ ( in @ X1 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1551]) ).
thf(zip_derived_cl1675,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__10 @ sk__1 @ sk_ ) )
| ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1552]) ).
thf(zip_derived_cl3,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1676,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__10 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1675,zip_derived_cl3]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ X0 ) ) @ sk__1 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ( X0 != X1 )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ X3 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_003,plain,
top_str @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl408_004,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ( zip_tseitin_3 @ X1 @ ( sk__11 @ X0 @ sk_ ) @ X0 @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl94]) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] :
( ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_3 @ X1 @ ( sk__11 @ X0 @ sk_ ) @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl408]) ).
thf(zip_derived_cl92_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X1 @ X4 )
| ~ ( zip_tseitin_3 @ X1 @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl411,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl409,zip_derived_cl92]) ).
thf(zip_derived_cl429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl411]) ).
thf(zip_derived_cl472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ( X2 != X1 )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl91,zip_derived_cl429]) ).
thf(zip_derived_cl1299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( X2 != X1 )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl472]) ).
thf(zip_derived_cl1300,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ~ ( in @ X1 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1299]) ).
thf(zip_derived_cl1301,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( ( sk__9 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) )
| ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1300]) ).
thf(zip_derived_cl3_006,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1302,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( ( sk__9 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1301,zip_derived_cl3]) ).
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_cl1337,plain,
! [X0: $i] :
( ( ( sk__9 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1302,zip_derived_cl0]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ X0 ) ) @ sk__1 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ( X0 != X1 )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ X3 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_009,plain,
top_str @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl413_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ )
| ( zip_tseitin_0 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl410,zip_derived_cl92]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl413,zip_derived_cl82]) ).
thf(zip_derived_cl435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl415]) ).
thf(zip_derived_cl473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ( X2 != X1 )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl91,zip_derived_cl435]) ).
thf(zip_derived_cl1416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( X2 != X1 )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl473]) ).
thf(zip_derived_cl1417,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ~ ( in @ X1 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1416]) ).
thf(zip_derived_cl1423,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1417]) ).
thf(zip_derived_cl3_011,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1424,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1423,zip_derived_cl3]) ).
thf(zip_derived_cl0_012,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_cl1430,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1424,zip_derived_cl0]) ).
thf(zip_derived_cl1473,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1430]) ).
thf(zip_derived_cl5_013,plain,
top_str @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl410_014,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_3 @ X1 @ ( sk__11 @ X0 @ sk_ ) @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl408]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk__7 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl414,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ )
| ( zip_tseitin_0 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl410,zip_derived_cl93]) ).
thf(zip_derived_cl82_015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl419,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl414,zip_derived_cl82]) ).
thf(zip_derived_cl447,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl419]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ X0 ) @ X1 ) @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl460,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl447,zip_derived_cl88]) ).
thf(zip_derived_cl1203,plain,
! [X0: $i,X1: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl460]) ).
thf(zip_derived_cl1555,plain,
( ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl1203]) ).
thf(zip_derived_cl3_016,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1581,plain,
( ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1555,zip_derived_cl3]) ).
thf(zip_derived_cl1582,plain,
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1 )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1581]) ).
thf(zip_derived_cl2_017,plain,
! [X0: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1605,plain,
( ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1582,zip_derived_cl2]) ).
thf(zip_derived_cl1473_018,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1430]) ).
thf(zip_derived_cl1612,plain,
( ~ ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1605,zip_derived_cl1473]) ).
thf(zip_derived_cl447_019,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl419]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl461,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( ( sk__7 @ sk_ @ X0 @ X1 )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl447,zip_derived_cl89]) ).
thf(zip_derived_cl1210,plain,
! [X0: $i,X1: $i] :
( ( ( sk__7 @ sk_ @ X0 @ X1 )
= X1 )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl461]) ).
thf(zip_derived_cl447_020,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl419]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl462,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( in @ ( sk__7 @ sk_ @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl447,zip_derived_cl90]) ).
thf(zip_derived_cl1218,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__7 @ sk_ @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl1221,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X1 @ sk_ )
= ( sk__9 @ X1 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X1 @ sk_ )
= ( sk__9 @ X1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1210,zip_derived_cl1218]) ).
thf(zip_derived_cl1223,plain,
! [X0: $i,X1: $i] :
( ( ( sk__8 @ X1 @ sk_ )
= ( sk__9 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ( in @ X0 @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1221]) ).
thf(zip_derived_cl1473_021,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1430]) ).
thf(zip_derived_cl1570,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1223,zip_derived_cl1473]) ).
thf(zip_derived_cl3_022,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1575,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1570,zip_derived_cl3]) ).
thf(zip_derived_cl1576,plain,
( ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1575]) ).
thf(zip_derived_cl1613,plain,
( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1612,zip_derived_cl1576]) ).
thf(zip_derived_cl1614,plain,
! [X0: $i] :
( ( ( sk__8 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1337,zip_derived_cl1613]) ).
thf(zip_derived_cl1677,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1676,zip_derived_cl1614]) ).
thf(zip_derived_cl0_023,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_cl1678,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ ( sk__11 @ sk__1 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1677,zip_derived_cl0]) ).
thf(zip_derived_cl1721,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl1678]) ).
thf(zip_derived_cl5_024,plain,
top_str @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414_025,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ )
| ( zip_tseitin_0 @ ( sk__10 @ X0 @ sk_ ) @ ( sk__9 @ X0 @ sk_ ) @ ( sk__8 @ X0 @ sk_ ) @ X0 @ sk_ )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl410,zip_derived_cl93]) ).
thf(zip_derived_cl84_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl421,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl414,zip_derived_cl84]) ).
thf(zip_derived_cl453,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl421]) ).
thf(zip_derived_cl88_027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ X0 ) @ X1 ) @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl466,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl453,zip_derived_cl88]) ).
thf(zip_derived_cl1282,plain,
! [X0: $i,X1: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl466]) ).
thf(zip_derived_cl1747,plain,
( ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__10 @ sk__1 @ sk_ ) )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl1282]) ).
thf(zip_derived_cl3_028,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1772,plain,
( ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__10 @ sk__1 @ sk_ ) )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1747,zip_derived_cl3]) ).
thf(zip_derived_cl2_029,plain,
! [X0: $i] :
( ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1721_030,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl1678]) ).
thf(zip_derived_cl5_031,plain,
top_str @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl409_032,plain,
! [X0: $i,X1: $i] :
( ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( top_str @ sk_ )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_3 @ X1 @ ( sk__11 @ X0 @ sk_ ) @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl408]) ).
thf(zip_derived_cl93_033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk__7 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl412,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( top_str @ sk_ )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl409,zip_derived_cl93]) ).
thf(zip_derived_cl432,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl412]) ).
thf(zip_derived_cl88_034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ X0 ) @ X1 ) @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl457,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl432,zip_derived_cl88]) ).
thf(zip_derived_cl1181,plain,
! [X0: $i,X1: $i] :
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ X1 ) @ X0 )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl457]) ).
thf(zip_derived_cl1744,plain,
( ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1721,zip_derived_cl1181]) ).
thf(zip_derived_cl3_035,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1613_036,plain,
( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1612,zip_derived_cl1576]) ).
thf(zip_derived_cl1769,plain,
( ( ( sk__8 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1744,zip_derived_cl3,zip_derived_cl1613]) ).
thf(zip_derived_cl1866,plain,
( ~ ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1769]) ).
thf(zip_derived_cl1721_037,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl1678]) ).
thf(zip_derived_cl453_038,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl421]) ).
thf(zip_derived_cl89_039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl467,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( ( sk__7 @ sk_ @ X0 @ X1 )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl453,zip_derived_cl89]) ).
thf(zip_derived_cl1285,plain,
! [X0: $i,X1: $i] :
( ( ( sk__7 @ sk_ @ X0 @ X1 )
= X1 )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl467]) ).
thf(zip_derived_cl453_040,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl421]) ).
thf(zip_derived_cl90_041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl468,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( in @ ( sk__7 @ sk_ @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl453,zip_derived_cl90]) ).
thf(zip_derived_cl1304,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__7 @ sk_ @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__8 @ X0 @ sk_ )
= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl468]) ).
thf(zip_derived_cl1309,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X1 @ sk_ )
= ( sk__10 @ X1 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ X1 @ sk_ )
= ( sk__10 @ X1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1285,zip_derived_cl1304]) ).
thf(zip_derived_cl1314,plain,
! [X0: $i,X1: $i] :
( ( ( sk__8 @ X1 @ sk_ )
= ( sk__10 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ( in @ X0 @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1309]) ).
thf(zip_derived_cl1721_042,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl1678]) ).
thf(zip_derived_cl1762,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__10 @ sk__1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl1721]) ).
thf(zip_derived_cl3_043,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1767,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
= ( sk__10 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1762,zip_derived_cl3]) ).
thf(zip_derived_cl432_044,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl412]) ).
thf(zip_derived_cl89_045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl458,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( ( sk__7 @ sk_ @ X0 @ X1 )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl432,zip_derived_cl89]) ).
thf(zip_derived_cl1188,plain,
! [X0: $i,X1: $i] :
( ( ( sk__7 @ sk_ @ X0 @ X1 )
= X1 )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl458]) ).
thf(zip_derived_cl432_046,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__7 @ sk_ @ X0 @ X1 ) @ X1 @ X0 @ sk_ )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl412]) ).
thf(zip_derived_cl90_047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl459,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( sk_ != sk_ )
| ( in @ ( sk__7 @ sk_ @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl432,zip_derived_cl90]) ).
thf(zip_derived_cl1194,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__7 @ sk_ @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( in @ X1 @ ( sk__11 @ X0 @ sk_ ) )
| ( ( sk__9 @ X0 @ sk_ )
!= ( sk__10 @ X0 @ sk_ ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl459]) ).
thf(zip_derived_cl1196,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ X1 @ sk_ )
!= ( sk__10 @ X1 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ X1 @ sk_ )
!= ( sk__10 @ X1 @ sk_ ) )
| ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1188,zip_derived_cl1194]) ).
thf(zip_derived_cl1197,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( sk__11 @ X1 @ sk_ ) )
| ( ( sk__9 @ X1 @ sk_ )
!= ( sk__10 @ X1 @ sk_ ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( in @ X0 @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1196]) ).
thf(zip_derived_cl1721_048,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl1678]) ).
thf(zip_derived_cl1759,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ~ ( element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ) )
| ( ( sk__9 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1197,zip_derived_cl1721]) ).
thf(zip_derived_cl3_049,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( the_carrier @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1613_050,plain,
( ( sk__8 @ sk__1 @ sk_ )
= ( sk__9 @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1612,zip_derived_cl1576]) ).
thf(zip_derived_cl1764,plain,
( ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) )
| ( ( sk__8 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1759,zip_derived_cl3,zip_derived_cl1613]) ).
thf(zip_derived_cl1837,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1767,zip_derived_cl1764]) ).
thf(zip_derived_cl1867,plain,
( ( sk__8 @ sk__1 @ sk_ )
!= ( sk__10 @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1866,zip_derived_cl1721,zip_derived_cl1837]) ).
thf(zip_derived_cl1878,plain,
in @ ( set_difference @ ( cast_as_carrier_subset @ sk_ ) @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) ) @ sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1772,zip_derived_cl1867]) ).
thf(zip_derived_cl1884,plain,
( ~ ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ) )
| ~ ( in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1878]) ).
thf(zip_derived_cl1721_051,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( sk__11 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl1678]) ).
thf(zip_derived_cl1837_052,plain,
in @ ( sk__2 @ ( sk__11 @ sk__1 @ sk_ ) ) @ ( powerset @ ( the_carrier @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1767,zip_derived_cl1764]) ).
thf(zip_derived_cl1885,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1884,zip_derived_cl1721,zip_derived_cl1837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.82 % Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.84 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.l3fiunV0Y2 true
% 0.08/1.14 % Computer : n016.cluster.edu
% 0.08/1.14 % Model : x86_64 x86_64
% 0.08/1.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/1.14 % Memory : 8042.1875MB
% 0.08/1.14 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/1.14 % CPULimit : 300
% 0.08/1.14 % WCLimit : 300
% 0.08/1.14 % DateTime : Wed Aug 23 13:34:23 EDT 2023
% 0.08/1.14 % CPUTime :
% 0.08/1.14 % Running portfolio for 300 s
% 0.08/1.14 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/1.14 % Number of cores: 8
% 0.08/1.14 % Python version: Python 3.6.8
% 0.08/1.15 % Running in FO mode
% 0.15/1.34 % Total configuration time : 435
% 0.15/1.34 % Estimated wc time : 1092
% 0.15/1.34 % Estimated cpu time (7 cpus) : 156.0
% 0.15/1.52 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/1.52 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/1.57 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/1.60 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.84/1.62 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.86/1.63 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/1.64 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.05/1.89 % Solved by fo/fo3_bce.sh.
% 1.05/1.89 % BCE start: 95
% 1.05/1.89 % BCE eliminated: 17
% 1.05/1.89 % PE start: 78
% 1.05/1.89 logic: eq
% 1.05/1.89 % PE eliminated: -4
% 1.05/1.89 % done 407 iterations in 0.258s
% 1.05/1.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.05/1.89 % SZS output start Refutation
% See solution above
% 1.05/1.89
% 1.05/1.89
% 1.05/1.89 % Terminating...
% 1.69/2.14 % Runner terminated.
% 1.69/2.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------