TSTP Solution File: SEU281+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU281+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.Wus6nfDuED true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:11:48 EDT 2023
% Result : Theorem 2.12s 1.07s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 40
% Syntax : Number of formulae : 152 ( 23 unt; 30 typ; 0 def)
% Number of atoms : 314 ( 78 equ; 0 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 1971 ( 113 ~; 149 |; 28 &;1666 @)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 3 con; 0-4 aty)
% Number of variables : 247 ( 0 ^; 225 !; 22 ?; 247 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i > $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__15_type,type,
sk__15: $i > $i > $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__17_type,type,
sk__17: $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(s1_tarski__e16_22__wellord2__2,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i,E: $i] :
( ( ? [H: $i,I: $i] :
( ( ( ordered_pair @ H @ I )
= E )
& ( in @ H @ A )
& ( I
= ( singleton @ H ) ) )
& ( C = E )
& ? [F: $i,G: $i] :
( ( ( ordered_pair @ F @ G )
= D )
& ( in @ F @ A )
& ( G
= ( singleton @ F ) ) )
& ( C = D ) )
=> ( D = E ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ ( cartesian_product2 @ A @ B ) )
& ( E = D )
& ? [J: $i,K: $i] :
( ( ( ordered_pair @ J @ K )
= D )
& ( in @ J @ A )
& ( K
= ( singleton @ J ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( ( zip_tseitin_2 @ E @ D @ C @ A )
=> ( D = E ) )
=> ( zip_tseitin_3 @ E @ D @ C @ A ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_xboole_0__e16_22__wellord2__1,conjecture,
! [A: $i,B: $i] :
? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( cartesian_product2 @ A @ B ) )
& ? [E: $i,F: $i] :
( ( F
= ( singleton @ E ) )
& ( in @ E @ A )
& ( ( ordered_pair @ E @ F )
= D ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [A: $i,B: $i] :
? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( cartesian_product2 @ A @ B ) )
& ? [E: $i,F: $i] :
( ( F
= ( singleton @ E ) )
& ( in @ E @ A )
& ( ( ordered_pair @ E @ F )
= D ) ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e16_22__wellord2__1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
= ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( ( sk__4 @ X0 )
= ( singleton @ ( sk__3 @ X0 ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [K: $i,J: $i,D: $i,A: $i] :
( ( zip_tseitin_4 @ K @ J @ D @ A )
<=> ( ( K
= ( singleton @ J ) )
& ( in @ J @ A )
& ( ( ordered_pair @ J @ K )
= D ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
| ( ( ordered_pair @ X1 @ X0 )
!= X2 )
| ~ ( in @ X1 @ X3 )
| ( X0
!= ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ X0 )
| ( ( ordered_pair @ X1 @ ( singleton @ X1 ) )
!= X2 )
| ( zip_tseitin_4 @ ( singleton @ X1 ) @ X1 @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ ( singleton @ X1 ) @ X1 @ ( ordered_pair @ X1 @ ( singleton @ X1 ) ) @ X0 )
| ~ ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_4 @ ( singleton @ ( sk__3 @ X0 ) ) @ ( sk__3 @ X0 ) @ ( ordered_pair @ ( sk__3 @ X0 ) @ ( singleton @ ( sk__3 @ X0 ) ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl91]) ).
thf(zip_derived_cl137,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ ( singleton @ ( sk__3 @ X0 ) ) @ ( sk__3 @ X0 ) @ ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) ) @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl104]) ).
thf(zip_derived_cl139,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_4 @ ( singleton @ ( sk__3 @ X0 ) ) @ ( sk__3 @ X0 ) @ ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ ( singleton @ ( sk__3 @ X0 ) ) @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl139]) ).
thf(zip_derived_cl146,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_4 @ ( singleton @ ( sk__3 @ X0 ) ) @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_3,axiom,
! [E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_5 @ E @ D @ B @ A )
<=> ( ? [J: $i,K: $i] : ( zip_tseitin_4 @ K @ J @ D @ A )
& ( E = D )
& ( in @ E @ ( cartesian_product2 @ A @ B ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( cartesian_product2 @ X3 @ X2 ) )
| ( X0 != X1 )
| ~ ( zip_tseitin_4 @ X4 @ X5 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_4 @ X3 @ X2 @ X1 @ X0 )
| ~ ( in @ X1 @ ( cartesian_product2 @ X0 @ X4 ) )
| ( zip_tseitin_5 @ X1 @ X1 @ X4 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ X0 ) @ ( sk__2 @ X0 ) @ sk__1 @ sk_ )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ ( sk__2 @ X0 ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl82]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ X0 ) @ ( sk__2 @ X0 ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl95]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__2 @ X0 ) @ ( sk__2 @ X0 ) @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl164]) ).
thf(zf_stmt_4,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_5,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_6,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
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 > $o ).
thf(zf_stmt_9,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_2 @ E @ D @ C @ A )
=> ( ( C = D )
& ? [F: $i,G: $i] : ( zip_tseitin_1 @ G @ F @ D @ A )
& ( C = E )
& ? [H: $i,I: $i] : ( zip_tseitin_0 @ I @ H @ E @ A ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [G: $i,F: $i,D: $i,A: $i] :
( ( zip_tseitin_1 @ G @ F @ D @ A )
=> ( ( G
= ( singleton @ F ) )
& ( in @ F @ A )
& ( ( ordered_pair @ F @ G )
= D ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [I: $i,H: $i,E: $i,A: $i] :
( ( zip_tseitin_0 @ I @ H @ E @ A )
=> ( ( I
= ( singleton @ H ) )
& ( in @ H @ A )
& ( ( ordered_pair @ H @ I )
= E ) ) ) ).
thf(zf_stmt_15,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i,E: $i] : ( zip_tseitin_3 @ E @ D @ C @ A )
=> ? [C: $i] :
! [D: $i] : ( zip_tseitin_6 @ D @ C @ B @ A ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_6 @ X1 @ ( sk__19 @ X2 @ X0 ) @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_5 @ ( sk__15 @ X2 @ X3 @ X0 ) @ X0 @ X3 @ X2 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__15 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( in @ X2 @ ( sk__19 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__15 @ X0 @ X1 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ X1 @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl105]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl554,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ )
| ( ( sk__15 @ X0 @ X1 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) )
= ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl43]) ).
thf(zip_derived_cl170_001,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__15 @ X0 @ X1 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ X1 @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl105]) ).
thf(zip_derived_cl557,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ X1 @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ )
| ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl170]) ).
thf(zip_derived_cl558,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl557]) ).
thf(zip_derived_cl595,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ X1 @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl558]) ).
thf(zip_derived_cl677,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl595]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__14 @ X0 @ X1 ) @ ( sk__13 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X2 @ X1 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl679,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( zip_tseitin_4 @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl42]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
= ( singleton @ X0 ) )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl761,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
= ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl38]) ).
thf(zip_derived_cl48_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_6 @ X1 @ ( sk__19 @ X2 @ X0 ) @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl677_003,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl595]) ).
thf(zip_derived_cl46,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_5]) ).
thf(zip_derived_cl682,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ X0 @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl46]) ).
thf(zip_derived_cl679_004,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( zip_tseitin_4 @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl42]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X2 @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl762,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( in @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl39]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( singleton @ X1 ) )
| ( ( ordered_pair @ X1 @ X2 )
!= ( sk__2 @ X0 ) )
| ~ ( in @ X1 @ sk_ )
| ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ X1 @ sk_ )
| ( ( ordered_pair @ X1 @ ( singleton @ X1 ) )
!= ( sk__2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl766,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) )
!= ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl762,zip_derived_cl66]) ).
thf(zip_derived_cl791,plain,
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__19 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ~ ( in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl766]) ).
thf(zip_derived_cl795,plain,
( ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__19 @ sk__1 @ sk_ ) @ sk__1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl791]) ).
thf(zip_derived_cl677_005,plain,
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl595]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( cartesian_product2 @ X1 @ X2 ) )
| ~ ( zip_tseitin_5 @ X0 @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl681,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl44]) ).
thf(zip_derived_cl804,plain,
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__19 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl795,zip_derived_cl681]) ).
thf(zip_derived_cl805,plain,
( ~ ( zip_tseitin_3 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl804]) ).
thf(zip_derived_cl37_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl806,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl805,zip_derived_cl37]) ).
thf(zip_derived_cl807,plain,
( ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl806]) ).
thf(zip_derived_cl808,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl807]) ).
thf(zip_derived_cl679_007,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( zip_tseitin_4 @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl42]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( ordered_pair @ X1 @ X2 )
= X0 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl763,plain,
( ( zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) )
= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl40]) ).
thf(zip_derived_cl809,plain,
zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_,
inference(clc,[status(thm)],[zip_derived_cl808,zip_derived_cl763]) ).
thf(zip_derived_cl809_008,plain,
zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_,
inference(clc,[status(thm)],[zip_derived_cl808,zip_derived_cl763]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X2 @ X0 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl810,plain,
( ( sk__16 @ sk_ )
= ( sk__17 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl809,zip_derived_cl32]) ).
thf(zip_derived_cl818,plain,
zip_tseitin_2 @ ( sk__18 @ sk_ ) @ ( sk__16 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl809,zip_derived_cl810]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl828,plain,
( ( sk__16 @ sk_ )
= ( sk__18 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl818,zip_derived_cl34]) ).
thf(zip_derived_cl558_009,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ sk__1 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__19 @ X1 @ X0 ) ) @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl557]) ).
thf(zip_derived_cl832,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__16 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ X0 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl828,zip_derived_cl558]) ).
thf(zip_derived_cl810_010,plain,
( ( sk__16 @ sk_ )
= ( sk__17 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl809,zip_derived_cl32]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_3 @ X2 @ X2 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl839,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ X0 @ sk_ )
| ( zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ X0 @ sk_ ) ) @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl832,zip_derived_cl810,zip_derived_cl67]) ).
thf(zip_derived_cl1091,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(eq_fact,[status(thm)],[zip_derived_cl839]) ).
thf(zip_derived_cl42_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ ( sk__14 @ X0 @ X1 ) @ ( sk__13 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X2 @ X1 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1093,plain,
zip_tseitin_4 @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl42]) ).
thf(zip_derived_cl39_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X2 @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1201,plain,
in @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl39]) ).
thf(zip_derived_cl66_013,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ X1 @ sk_ )
| ( ( ordered_pair @ X1 @ ( singleton @ X1 ) )
!= ( sk__2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl1205,plain,
! [X0: $i] :
( ( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) )
!= ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1201,zip_derived_cl66]) ).
thf(zip_derived_cl1093_014,plain,
zip_tseitin_4 @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl42]) ).
thf(zip_derived_cl38_015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
= ( singleton @ X0 ) )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1200,plain,
( ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
= ( singleton @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl38]) ).
thf(zip_derived_cl1093_016,plain,
zip_tseitin_4 @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl42]) ).
thf(zip_derived_cl40_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( ordered_pair @ X1 @ X2 )
= X0 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1202,plain,
( ( ordered_pair @ ( sk__13 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) @ ( sk__14 @ sk_ @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) )
= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl40]) ).
thf(zip_derived_cl1233,plain,
! [X0: $i] :
( ( ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) )
!= ( sk__2 @ X0 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1205,zip_derived_cl1200,zip_derived_cl1202]) ).
thf(zip_derived_cl2_018,plain,
! [X0: $i] :
( ( ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
= ( sk__2 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ ( sk__16 @ X0 ) @ X0 )
| ( zip_tseitin_6 @ X1 @ ( sk__19 @ X2 @ X0 ) @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl1091_020,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(eq_fact,[status(thm)],[zip_derived_cl839]) ).
thf(zip_derived_cl46_021,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_5]) ).
thf(zip_derived_cl1096,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ X0 @ sk__1 @ sk_ )
| ( in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl46]) ).
thf(zip_derived_cl1_022,plain,
! [X0: $i] :
( ( ( sk__4 @ X0 )
= ( singleton @ ( sk__3 @ X0 ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( singleton @ X1 ) )
| ( ( ordered_pair @ X1 @ X2 )
!= ( sk__2 @ X0 ) )
| ~ ( in @ X1 @ sk_ )
| ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( sk__4 @ X0 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X2 ) @ X2 )
| ~ ( in @ ( sk__2 @ X2 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ ( sk__3 @ X0 ) @ sk_ )
| ( ( ordered_pair @ ( sk__3 @ X0 ) @ X1 )
!= ( sk__2 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl3_024,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( ordered_pair @ ( sk__3 @ X0 ) @ X1 )
!= ( sk__2 @ X2 ) )
| ~ ( in @ ( sk__2 @ X2 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ~ ( in @ ( sk__2 @ X2 ) @ X2 )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ( X1
!= ( sk__4 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl3]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in @ ( sk__2 @ X1 ) @ X1 )
| ~ ( in @ ( sk__2 @ X1 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ( ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
!= ( sk__2 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl1130,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__19 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1096,zip_derived_cl121]) ).
thf(zip_derived_cl1091_025,plain,
zip_tseitin_5 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ sk__1 @ sk_,
inference(eq_fact,[status(thm)],[zip_derived_cl839]) ).
thf(zip_derived_cl44_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( cartesian_product2 @ X1 @ X2 ) )
| ~ ( zip_tseitin_5 @ X0 @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1095,plain,
in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl44]) ).
thf(zip_derived_cl1145,plain,
! [X0: $i] :
( ~ ( zip_tseitin_6 @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( sk__19 @ sk__1 @ sk_ ) @ sk__1 @ sk_ )
| ( ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1130,zip_derived_cl1095]) ).
thf(zip_derived_cl1152,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__18 @ sk_ ) @ ( sk__17 @ sk_ ) @ ( sk__16 @ sk_ ) @ sk_ )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl1145]) ).
thf(zip_derived_cl828_027,plain,
( ( sk__16 @ sk_ )
= ( sk__18 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl818,zip_derived_cl34]) ).
thf(zip_derived_cl810_028,plain,
( ( sk__16 @ sk_ )
= ( sk__17 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl809,zip_derived_cl32]) ).
thf(zip_derived_cl67_029,plain,
! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_3 @ X2 @ X2 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl1153,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( ordered_pair @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1152,zip_derived_cl828,zip_derived_cl810,zip_derived_cl67]) ).
thf(zip_derived_cl1154,plain,
! [X0: $i] :
( ( ( sk__2 @ X0 )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) )
| ( in @ ( sk__2 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1153]) ).
thf(zip_derived_cl1155,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 ) @ X0 )
| ( ( sk__2 @ X0 )
!= ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1154]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk__1 ) )
| ( ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) )
!= ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1233,zip_derived_cl1155]) ).
thf(zip_derived_cl1235,plain,
~ ( in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk__1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1234]) ).
thf(zip_derived_cl1095_030,plain,
in @ ( sk__2 @ ( sk__19 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl1091,zip_derived_cl44]) ).
thf(zip_derived_cl1236,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1235,zip_derived_cl1095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Wus6nfDuED true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 14:00:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.12/1.07 % Solved by fo/fo7.sh.
% 2.12/1.07 % done 481 iterations in 0.301s
% 2.12/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.12/1.07 % SZS output start Refutation
% See solution above
% 2.12/1.07
% 2.12/1.07
% 2.12/1.07 % Terminating...
% 2.23/1.15 % Runner terminated.
% 2.23/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------