TSTP Solution File: SEU298+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kfPds7Ylgo true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:11:55 EDT 2023
% Result : Theorem 3.40s 1.08s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 41
% Syntax : Number of formulae : 160 ( 22 unt; 31 typ; 0 def)
% Number of atoms : 334 ( 56 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 2316 ( 94 ~; 162 |; 24 &;2017 @)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 3 con; 0-5 aty)
% Number of variables : 226 ( 0 ^; 212 !; 14 ?; 226 :)
% Comments :
%------------------------------------------------------------------------------
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__24_type,type,
sk__24: $i > $i > $i ).
thf(sk__27_type,type,
sk__27: $i > $i > $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i > $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i > $i > $i > $i ).
thf(sk__26_type,type,
sk__26: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(s1_xboole_0__e4_27_3_1__finset_1,conjecture,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( succ @ A ) ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( powerset @ A ) )
& ? [E: $i] :
( ( D
= ( set_difference @ E @ ( singleton @ A ) ) )
& ( in @ E @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( succ @ A ) ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( powerset @ A ) )
& ? [E: $i] :
( ( D
= ( set_difference @ E @ ( singleton @ A ) ) )
& ( in @ E @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e4_27_3_1__finset_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( sk__2 @ X0 )
= ( set_difference @ ( sk__3 @ X0 ) @ ( singleton @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ sk__1 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_tarski__e4_27_3_1__finset_1__1,axiom,
! [A: $i,B: $i] :
( ( ( element @ B @ ( powerset @ ( powerset @ ( succ @ A ) ) ) )
& ( ordinal @ A ) )
=> ( ! [C: $i,D: $i,E: $i] :
( ( ? [G: $i] :
( ( in @ G @ B )
& ( E
= ( set_difference @ G @ ( singleton @ A ) ) ) )
& ( C = E )
& ? [F: $i] :
( ( in @ F @ B )
& ( D
= ( set_difference @ F @ ( singleton @ A ) ) ) )
& ( C = D ) )
=> ( D = E ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ ( powerset @ A ) )
& ( E = D )
& ? [H: $i] :
( ( in @ H @ B )
& ( D
= ( set_difference @ H @ ( singleton @ A ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [H: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_4 @ H @ D @ B @ A )
<=> ( ( D
= ( set_difference @ H @ ( singleton @ A ) ) )
& ( in @ H @ B ) ) ) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ X2 )
| ( X1
!= ( set_difference @ X0 @ ( singleton @ X3 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ X0 )
| ( zip_tseitin_4 @ X1 @ ( set_difference @ X1 @ ( singleton @ X2 ) ) @ X0 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ ( set_difference @ ( sk__3 @ X0 ) @ ( singleton @ X1 ) ) @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl280]) ).
thf(zip_derived_cl313,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl307]) ).
thf(zip_derived_cl314,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl313]) ).
thf(zf_stmt_2,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(zip_derived_cl109,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_2]) ).
thf(zip_derived_cl4,plain,
element @ sk__1 @ ( powerset @ ( powerset @ ( succ @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_3,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,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_5,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(zf_stmt_6,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 @ A ) ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zf_stmt_8,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
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 )
=> ( ( D
= ( set_difference @ F @ ( singleton @ A ) ) )
& ( in @ F @ B ) ) ) ).
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 )
=> ( ( E
= ( set_difference @ G @ ( singleton @ A ) ) )
& ( in @ G @ B ) ) ) ).
thf(zf_stmt_15,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( succ @ 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_cl119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( succ @ X0 ) ) ) )
| ( zip_tseitin_6 @ X2 @ ( sk__27 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__26 @ X1 @ X0 ) @ ( sk__25 @ X1 @ X0 ) @ ( sk__24 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( ordinal @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl119]) ).
thf(zip_derived_cl5,plain,
ordinal @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl362,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl5]) ).
thf(zip_derived_cl366,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl362]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_5 @ ( sk__23 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl380,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__27 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl118]) ).
thf(zip_derived_cl383,plain,
( ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl380]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl386,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl114]) ).
thf(zip_derived_cl383_001,plain,
( ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl380]) ).
thf(zip_derived_cl389,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl386,zip_derived_cl383]) ).
thf(zip_derived_cl390,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl442,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( in @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl111]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i] :
( ( ( sk__2 @ X0 )
= ( set_difference @ ( sk__3 @ X0 ) @ ( singleton @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ X2 )
| ( X1
!= ( set_difference @ X0 @ ( singleton @ X3 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__3 @ X0 ) @ X2 )
| ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ X1 @ X2 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl112]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ ( sk__3 @ X1 ) @ ( sk__2 @ X1 ) @ X0 @ sk_ )
| ~ ( in @ ( sk__3 @ X1 ) @ X0 )
| ( in @ ( sk__2 @ X1 ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl279]) ).
thf(zip_derived_cl448,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl353]) ).
thf(zip_derived_cl314_004,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl313]) ).
thf(zip_derived_cl496,plain,
( ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl448,zip_derived_cl314]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( powerset @ X3 ) )
| ( X0 != X1 )
| ~ ( zip_tseitin_4 @ X4 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_4 @ X3 @ X2 @ X1 @ X0 )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( zip_tseitin_5 @ X2 @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl285,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_cl281]) ).
thf(zip_derived_cl497,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl496,zip_derived_cl285]) ).
thf(zip_derived_cl362_005,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl5]) ).
thf(zip_derived_cl390_006,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__3 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl285_007,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_cl281]) ).
thf(zip_derived_cl443,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl285]) ).
thf(zip_derived_cl444,plain,
( ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl443]) ).
thf(zip_derived_cl380_008,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__27 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl118]) ).
thf(zip_derived_cl451,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl380]) ).
thf(zip_derived_cl454,plain,
( ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl451]) ).
thf(zip_derived_cl114_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl609,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl114]) ).
thf(zip_derived_cl454_010,plain,
( ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl451]) ).
thf(zip_derived_cl617,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl609,zip_derived_cl454]) ).
thf(zip_derived_cl621,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl617]) ).
thf(zip_derived_cl117,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_4]) ).
thf(zip_derived_cl625,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ X0 @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl117]) ).
thf(zip_derived_cl621_011,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl617]) ).
thf(zip_derived_cl113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__22 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl622,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl113]) ).
thf(zip_derived_cl111_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl667,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( in @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl111]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__1 )
| ( ( sk__2 @ X0 )
!= ( set_difference @ X1 @ ( singleton @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl671,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) )
| ( ( sk__2 @ X0 )
!= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl3]) ).
thf(zip_derived_cl693,plain,
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( powerset @ sk_ ) )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl671]) ).
thf(zip_derived_cl699,plain,
( ~ ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( powerset @ sk_ ) )
| ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl693]) ).
thf(zip_derived_cl621_013,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl617]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl624,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( powerset @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl115]) ).
thf(zip_derived_cl708,plain,
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl699,zip_derived_cl624]) ).
thf(zip_derived_cl366_014,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl362]) ).
thf(zip_derived_cl709,plain,
( ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl708,zip_derived_cl366]) ).
thf(zip_derived_cl622_015,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_4 @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl113]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
= ( set_difference @ X0 @ ( singleton @ X1 ) ) )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl666,plain,
( ( zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl110]) ).
thf(zip_derived_cl710,plain,
zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_,
inference(clc,[status(thm)],[zip_derived_cl709,zip_derived_cl666]) ).
thf(zip_derived_cl104,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_cl711,plain,
( ( sk__24 @ sk__1 @ sk_ )
= ( sk__25 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl104]) ).
thf(zip_derived_cl715,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl711]) ).
thf(zip_derived_cl710_016,plain,
zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__25 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_,
inference(clc,[status(thm)],[zip_derived_cl709,zip_derived_cl666]) ).
thf(zip_derived_cl711_017,plain,
( ( sk__24 @ sk__1 @ sk_ )
= ( sk__25 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl104]) ).
thf(zip_derived_cl716,plain,
zip_tseitin_2 @ ( sk__26 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ ( sk__24 @ sk__1 @ sk_ ) @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl710,zip_derived_cl711]) ).
thf(zip_derived_cl106,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_cl719,plain,
( ( sk__24 @ sk__1 @ sk_ )
= ( sk__26 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl106]) ).
thf(zip_derived_cl108,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_2]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( zip_tseitin_3 @ X3 @ X3 @ X2 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl758,plain,
! [X0: $i] : ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl715,zip_derived_cl719,zip_derived_cl168]) ).
thf(zip_derived_cl118_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_5 @ ( sk__23 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl759,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ X0 ) @ X0 @ sk__1 @ sk_ )
| ~ ( in @ X0 @ ( sk__27 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl118]) ).
thf(zip_derived_cl764,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl759]) ).
thf(zip_derived_cl114_019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl888,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl114]) ).
thf(zip_derived_cl764_020,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__23 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl759]) ).
thf(zip_derived_cl894,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl888,zip_derived_cl764]) ).
thf(zip_derived_cl898,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl894]) ).
thf(zip_derived_cl115_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl901,plain,
in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( powerset @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl115]) ).
thf(zip_derived_cl898_022,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl894]) ).
thf(zip_derived_cl113_023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__22 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl899,plain,
zip_tseitin_4 @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl113]) ).
thf(zip_derived_cl111_024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl990,plain,
in @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl899,zip_derived_cl111]) ).
thf(zip_derived_cl3_025,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__1 )
| ( ( sk__2 @ X0 )
!= ( set_difference @ X1 @ ( singleton @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl995,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) )
| ( ( sk__2 @ X0 )
!= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl990,zip_derived_cl3]) ).
thf(zip_derived_cl899_026,plain,
zip_tseitin_4 @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl113]) ).
thf(zip_derived_cl110_027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
= ( set_difference @ X0 @ ( singleton @ X1 ) ) )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl989,plain,
( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
= ( set_difference @ ( sk__22 @ sk_ @ sk__1 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) @ ( singleton @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl899,zip_derived_cl110]) ).
thf(zip_derived_cl1051,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) )
| ( ( sk__2 @ X0 )
!= ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl995,zip_derived_cl989]) ).
thf(zip_derived_cl2_028,plain,
! [X0: $i] :
( ( ( sk__2 @ X0 )
= ( set_difference @ ( sk__3 @ X0 ) @ ( singleton @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl898_029,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl894]) ).
thf(zip_derived_cl117_030,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_4]) ).
thf(zip_derived_cl902,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ X0 @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl117]) ).
thf(zip_derived_cl1_031,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ sk__1 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_032,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__1 )
| ( ( sk__2 @ X0 )
!= ( set_difference @ X1 @ ( singleton @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X1 ) @ X1 )
| ~ ( in @ ( sk__2 @ X1 ) @ ( powerset @ sk_ ) )
| ( ( sk__2 @ X1 )
!= ( set_difference @ ( sk__3 @ X0 ) @ ( singleton @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl925,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( set_difference @ ( sk__3 @ X0 ) @ ( singleton @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( powerset @ sk_ ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl902,zip_derived_cl205]) ).
thf(zip_derived_cl758_033,plain,
! [X0: $i] : ( zip_tseitin_6 @ X0 @ ( sk__27 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl715,zip_derived_cl719,zip_derived_cl168]) ).
thf(zip_derived_cl901_034,plain,
in @ ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) @ ( powerset @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl115]) ).
thf(zip_derived_cl932,plain,
! [X0: $i] :
( ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( set_difference @ ( sk__3 @ X0 ) @ ( singleton @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl925,zip_derived_cl758,zip_derived_cl901]) ).
thf(zip_derived_cl933,plain,
! [X0: $i] :
( ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl932]) ).
thf(zip_derived_cl934,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( sk__2 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl933]) ).
thf(zip_derived_cl1052,plain,
! [X0: $i] :
( ( ( sk__2 @ X0 )
!= ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( powerset @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1051,zip_derived_cl934]) ).
thf(zip_derived_cl1063,plain,
( ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) )
!= ( sk__2 @ ( sk__27 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl901,zip_derived_cl1052]) ).
thf(zip_derived_cl1070,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kfPds7Ylgo true
% 0.13/0.36 % Computer : n023.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Aug 23 19:57:43 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.40/1.08 % Solved by fo/fo7.sh.
% 3.40/1.08 % done 529 iterations in 0.285s
% 3.40/1.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.40/1.08 % SZS output start Refutation
% See solution above
% 3.40/1.08
% 3.40/1.08
% 3.40/1.08 % Terminating...
% 3.40/1.17 % Runner terminated.
% 3.40/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------