TSTP Solution File: SEU277+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU277+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.MoJfrhWqXQ 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 19:11:47 EDT 2023
% Result : Theorem 12.59s 2.41s
% Output : Refutation 12.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 43
% Syntax : Number of formulae : 219 ( 48 unt; 33 typ; 0 def)
% Number of atoms : 532 ( 143 equ; 0 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 3254 ( 231 ~; 299 |; 28 &;2677 @)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 102 ( 102 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 4 con; 0-5 aty)
% Number of variables : 408 ( 0 ^; 386 !; 22 ?; 408 :)
% Comments :
%------------------------------------------------------------------------------
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__21_type,type,
sk__21: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__24_type,type,
sk__24: $i > $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i > $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i > $i > $i > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i > $i > $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__23_type,type,
sk__23: $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(s1_xboole_0__e6_21__wellord2__1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ B )
& ( relation @ C )
& ( function @ C ) )
=> ? [D: $i] :
! [E: $i] :
( ( in @ E @ D )
<=> ( ( in @ E @ ( cartesian_product2 @ A @ A ) )
& ? [F: $i,G: $i] :
( ( in @ ( ordered_pair @ ( apply @ C @ F ) @ ( apply @ C @ G ) ) @ B )
& ( E
= ( ordered_pair @ F @ G ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ B )
& ( relation @ C )
& ( function @ C ) )
=> ? [D: $i] :
! [E: $i] :
( ( in @ E @ D )
<=> ( ( in @ E @ ( cartesian_product2 @ A @ A ) )
& ? [F: $i,G: $i] :
( ( in @ ( ordered_pair @ ( apply @ C @ F ) @ ( apply @ C @ G ) ) @ B )
& ( E
= ( ordered_pair @ F @ G ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e6_21__wellord2__1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__4 @ X0 ) ) @ ( apply @ sk__2 @ ( sk__5 @ X0 ) ) ) @ sk__1 )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
= ( ordered_pair @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) ) )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_tarski__e6_21__wellord2__1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( function @ C )
& ( relation @ C )
& ( relation @ B ) )
=> ( ! [D: $i,E: $i,F: $i] :
( ( ? [I: $i,J: $i] :
( ( F
= ( ordered_pair @ I @ J ) )
& ( in @ ( ordered_pair @ ( apply @ C @ I ) @ ( apply @ C @ J ) ) @ B ) )
& ( D = F )
& ? [G: $i,H: $i] :
( ( E
= ( ordered_pair @ G @ H ) )
& ( in @ ( ordered_pair @ ( apply @ C @ G ) @ ( apply @ C @ H ) ) @ B ) )
& ( D = E ) )
=> ( E = F ) )
=> ? [D: $i] :
! [E: $i] :
( ( in @ E @ D )
<=> ? [F: $i] :
( ( in @ F @ ( cartesian_product2 @ A @ A ) )
& ( F = E )
& ? [K: $i,L: $i] :
( ( E
= ( ordered_pair @ K @ L ) )
& ( in @ ( ordered_pair @ ( apply @ C @ K ) @ ( apply @ C @ L ) ) @ B ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [L: $i,K: $i,E: $i,C: $i,B: $i] :
( ( zip_tseitin_4 @ L @ K @ E @ C @ B )
<=> ( ( in @ ( ordered_pair @ ( apply @ C @ K ) @ ( apply @ C @ L ) ) @ B )
& ( E
= ( ordered_pair @ K @ L ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( X2
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ X3 @ X1 ) @ ( apply @ X3 @ X0 ) ) @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [F: $i,E: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_5 @ F @ E @ C @ B @ A )
<=> ( ? [K: $i,L: $i] : ( zip_tseitin_4 @ L @ K @ E @ C @ B )
& ( F = E )
& ( in @ F @ ( cartesian_product2 @ A @ A ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( in @ X0 @ ( cartesian_product2 @ X4 @ X4 ) )
| ( X0 != X1 )
| ~ ( zip_tseitin_4 @ X5 @ X6 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( in @ ( ordered_pair @ ( apply @ X1 @ X3 ) @ ( apply @ X1 @ X4 ) ) @ X0 )
| ( X2
!= ( ordered_pair @ X3 @ X4 ) )
| ( X6 != X2 )
| ~ ( in @ X6 @ ( cartesian_product2 @ X5 @ X5 ) )
| ( zip_tseitin_5 @ X6 @ X2 @ X1 @ X0 @ X5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl58,zip_derived_cl62]) ).
thf(zip_derived_cl419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( zip_tseitin_5 @ X3 @ X3 @ X2 @ X1 @ X0 )
| ~ ( in @ X3 @ ( cartesian_product2 @ X0 @ X0 ) )
| ( X3
!= ( ordered_pair @ X5 @ X4 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ X2 @ X5 ) @ ( apply @ X2 @ X4 ) ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl282]) ).
thf(zip_derived_cl421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ ( ordered_pair @ ( apply @ X2 @ X3 ) @ ( apply @ X2 @ X1 ) ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X1 ) @ ( cartesian_product2 @ X4 @ X4 ) )
| ( zip_tseitin_5 @ ( ordered_pair @ X3 @ X1 ) @ ( ordered_pair @ X3 @ X1 ) @ X2 @ X0 @ X4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl419]) ).
thf(zip_derived_cl422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in @ ( ordered_pair @ ( apply @ X3 @ ( sk__4 @ X0 ) ) @ ( apply @ X3 @ ( sk__5 @ X0 ) ) ) @ X2 )
| ~ ( in @ ( sk__3 @ X0 ) @ ( cartesian_product2 @ X1 @ X1 ) )
| ( zip_tseitin_5 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ X3 @ X2 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl421]) ).
thf(zip_derived_cl435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ( in @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in @ ( ordered_pair @ ( apply @ X2 @ ( sk__4 @ X0 ) ) @ ( apply @ X2 @ ( sk__5 @ X0 ) ) ) @ X1 )
| ( zip_tseitin_5 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ X2 @ X1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl422]) ).
thf(zip_derived_cl437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ X2 @ X1 @ sk_ )
| ~ ( in @ ( ordered_pair @ ( apply @ X2 @ ( sk__4 @ X0 ) ) @ ( apply @ X2 @ ( sk__5 @ X0 ) ) ) @ X1 )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl435]) ).
thf(zip_derived_cl442,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ( zip_tseitin_5 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ sk__2 @ sk__1 @ sk_ )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl437]) ).
thf(zip_derived_cl443,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ sk__2 @ sk__1 @ sk_ )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl443_001,plain,
! [X0: $i] :
( ( zip_tseitin_5 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) @ sk__2 @ sk__1 @ sk_ )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl442]) ).
thf(zf_stmt_3,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i] :
( ( ( zip_tseitin_2 @ F @ E @ D @ C @ B )
=> ( E = F ) )
=> ( zip_tseitin_3 @ F @ E @ D @ C @ B ) ) ).
thf(zip_derived_cl55,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_3]) ).
thf(zf_stmt_4,type,
zip_tseitin_6: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_6 @ E @ D @ C @ B @ A )
=> ( ( in @ E @ D )
<=> ? [F: $i] : ( zip_tseitin_5 @ F @ E @ C @ B @ A ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_5: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_7,type,
zip_tseitin_4: $i > $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,
! [F: $i,E: $i,D: $i,C: $i,B: $i] :
( ( zip_tseitin_2 @ F @ E @ D @ C @ B )
=> ( ( D = E )
& ? [G: $i,H: $i] : ( zip_tseitin_1 @ H @ G @ E @ C @ B )
& ( D = F )
& ? [I: $i,J: $i] : ( zip_tseitin_0 @ J @ I @ F @ C @ B ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [H: $i,G: $i,E: $i,C: $i,B: $i] :
( ( zip_tseitin_1 @ H @ G @ E @ C @ B )
=> ( ( in @ ( ordered_pair @ ( apply @ C @ G ) @ ( apply @ C @ H ) ) @ B )
& ( E
= ( ordered_pair @ G @ H ) ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [J: $i,I: $i,F: $i,C: $i,B: $i] :
( ( zip_tseitin_0 @ J @ I @ F @ C @ B )
=> ( ( in @ ( ordered_pair @ ( apply @ C @ I ) @ ( apply @ C @ J ) ) @ B )
& ( F
= ( ordered_pair @ I @ J ) ) ) ) ).
thf(zf_stmt_15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ B )
& ( relation @ C )
& ( function @ C ) )
=> ( ! [D: $i,E: $i,F: $i] : ( zip_tseitin_3 @ F @ E @ D @ C @ B )
=> ? [D: $i] :
! [E: $i] : ( zip_tseitin_6 @ E @ D @ C @ B @ A ) ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( zip_tseitin_6 @ X2 @ ( sk__24 @ X1 @ X0 @ X3 ) @ X1 @ X0 @ X3 )
| ~ ( zip_tseitin_3 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 )
| ( zip_tseitin_6 @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) @ X1 @ X0 @ X2 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( relation @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl65]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( in @ X1 @ X5 )
| ~ ( zip_tseitin_6 @ X1 @ X5 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( zip_tseitin_2 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 )
| ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) )
| ~ ( zip_tseitin_5 @ X4 @ X3 @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl275,zip_derived_cl63]) ).
thf(zip_derived_cl446,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ~ ( relation @ sk__1 )
| ~ ( relation @ sk__2 )
| ~ ( function @ sk__2 )
| ( zip_tseitin_2 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ X0 ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl278]) ).
thf(zip_derived_cl6,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl449,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ( zip_tseitin_2 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ X0 ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl52,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_cl488,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
| ( in @ ( sk__3 @ X0 ) @ X0 )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl52]) ).
thf(zip_derived_cl550,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl275_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 )
| ( zip_tseitin_6 @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) @ X1 @ X0 @ X2 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( relation @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl65]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X3 @ X4 @ X0 ) @ X0 @ X4 @ X3 @ X2 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X4 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( zip_tseitin_2 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X0 @ X1 @ X3 ) @ X3 @ X1 @ X0 @ X2 )
| ~ ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl275,zip_derived_cl64]) ).
thf(zip_derived_cl554,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ~ ( relation @ sk__1 )
| ~ ( relation @ sk__2 )
| ~ ( function @ sk__2 )
| ( zip_tseitin_2 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl279]) ).
thf(zip_derived_cl6_003,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_004,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_005,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl556,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( zip_tseitin_2 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl554,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl52_006,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_cl1443,plain,
( ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl556,zip_derived_cl52]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_4 @ ( sk__19 @ X0 @ X1 @ X2 ) @ ( sk__18 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ ( ordered_pair @ ( apply @ X0 @ X1 ) @ ( apply @ X0 @ X2 ) ) @ X3 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X4 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X4 @ X2 @ X1 @ X0 @ X3 )
| ( in @ ( ordered_pair @ ( apply @ X1 @ ( sk__18 @ X0 @ X1 @ X2 ) ) @ ( apply @ X1 @ ( sk__19 @ X0 @ X1 @ X2 ) ) ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl56]) ).
thf(zip_derived_cl1447,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl280]) ).
thf(zip_derived_cl1443_007,plain,
( ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl556,zip_derived_cl52]) ).
thf(zip_derived_cl59_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_4 @ ( sk__19 @ X0 @ X1 @ X2 ) @ ( sk__18 @ X0 @ X1 @ X2 ) @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
= ( ordered_pair @ X0 @ X1 ) )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X4 @ X2 @ X1 @ X0 @ X3 )
| ( X2
= ( ordered_pair @ ( sk__18 @ X0 @ X1 @ X2 ) @ ( sk__19 @ X0 @ X1 @ X2 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl57]) ).
thf(zip_derived_cl1448,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
= ( ordered_pair @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl281]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl279_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( zip_tseitin_2 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X0 @ X1 @ X3 ) @ X3 @ X1 @ X0 @ X2 )
| ~ ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl275,zip_derived_cl64]) ).
thf(zip_derived_cl438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__3 @ ( sk__24 @ X2 @ X1 @ X0 ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ~ ( relation @ X1 )
| ~ ( relation @ X2 )
| ~ ( function @ X2 )
| ( zip_tseitin_2 @ ( sk__23 @ X2 @ X1 ) @ ( sk__22 @ X2 @ X1 ) @ ( sk__21 @ X2 @ X1 ) @ X2 @ X1 )
| ( zip_tseitin_5 @ ( sk__20 @ X0 @ X1 @ X2 @ ( sk__3 @ ( sk__24 @ X2 @ X1 @ X0 ) ) ) @ ( sk__3 @ ( sk__24 @ X2 @ X1 @ X0 ) ) @ X2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl279]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ ( sk__23 @ X2 @ X1 ) @ ( sk__22 @ X2 @ X1 ) @ ( sk__21 @ X2 @ X1 ) @ X2 @ X1 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 )
| ( in @ ( sk__3 @ ( sk__24 @ X2 @ X1 @ X0 ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ( ( sk__20 @ X0 @ X1 @ X2 @ ( sk__3 @ ( sk__24 @ X2 @ X1 @ X0 ) ) )
= ( sk__3 @ ( sk__24 @ X2 @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl60]) ).
thf(zip_derived_cl52_011,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_cl525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__20 @ X2 @ X0 @ X1 @ ( sk__3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) )
= ( sk__3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) )
| ( in @ ( sk__3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__21 @ X1 @ X0 )
= ( sk__23 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl52]) ).
thf(zip_derived_cl1443_012,plain,
( ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl556,zip_derived_cl52]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ ( cartesian_product2 @ X1 @ X1 ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1445,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl61]) ).
thf(zip_derived_cl1470,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ~ ( function @ sk__2 )
| ~ ( relation @ sk__2 )
| ~ ( relation @ sk__1 )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl525,zip_derived_cl1445]) ).
thf(zip_derived_cl4_013,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_014,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_015,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1480,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1470,zip_derived_cl4,zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl1481,plain,
( ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1480]) ).
thf(zip_derived_cl550_016,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__3 @ X0 )
!= ( ordered_pair @ X1 @ X2 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X2 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ~ ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl555,plain,
! [X0: $i,X1: $i] :
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl3]) ).
thf(zip_derived_cl1527,plain,
! [X0: $i,X1: $i] :
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl555]) ).
thf(zip_derived_cl1528,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1527]) ).
thf(zip_derived_cl3070,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1 )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1448,zip_derived_cl1528]) ).
thf(zip_derived_cl3081,plain,
( ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1 )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3070]) ).
thf(zip_derived_cl3159,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1447,zip_derived_cl3081]) ).
thf(zip_derived_cl54,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_3]) ).
thf(zip_derived_cl65_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( zip_tseitin_6 @ X2 @ ( sk__24 @ X1 @ X0 @ X3 ) @ X1 @ X0 @ X3 )
| ~ ( zip_tseitin_3 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk__22 @ X1 @ X0 )
!= ( sk__23 @ X1 @ X0 ) )
| ( zip_tseitin_6 @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) @ X1 @ X0 @ X2 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( relation @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl65]) ).
thf(zip_derived_cl63_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( in @ X1 @ X5 )
| ~ ( zip_tseitin_6 @ X1 @ X5 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__22 @ X1 @ X0 )
!= ( sk__23 @ X1 @ X0 ) )
| ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) )
| ~ ( zip_tseitin_5 @ X4 @ X3 @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl274,zip_derived_cl63]) ).
thf(zip_derived_cl3190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ sk__1 )
| ~ ( relation @ sk__2 )
| ~ ( function @ sk__2 )
| ( ( sk__22 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ~ ( zip_tseitin_5 @ X2 @ X1 @ sk__2 @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3159,zip_derived_cl276]) ).
thf(zip_derived_cl6_019,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_020,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_021,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl449_022,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ( zip_tseitin_2 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( in @ ( sk__3 @ X0 ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl50,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_cl487,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
| ( in @ ( sk__3 @ X0 ) @ X0 )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl50]) ).
thf(zip_derived_cl511,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl279_023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( zip_tseitin_2 @ ( sk__23 @ X1 @ X0 ) @ ( sk__22 @ X1 @ X0 ) @ ( sk__21 @ X1 @ X0 ) @ X1 @ X0 )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X0 @ X1 @ X3 ) @ X3 @ X1 @ X0 @ X2 )
| ~ ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl275,zip_derived_cl64]) ).
thf(zip_derived_cl515,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ~ ( relation @ sk__1 )
| ~ ( relation @ sk__2 )
| ~ ( function @ sk__2 )
| ( zip_tseitin_2 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl279]) ).
thf(zip_derived_cl6_024,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_025,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_026,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl517,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( zip_tseitin_2 @ ( sk__23 @ sk__2 @ sk__1 ) @ ( sk__22 @ sk__2 @ sk__1 ) @ ( sk__21 @ sk__2 @ sk__1 ) @ sk__2 @ sk__1 )
| ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl515,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl50_027,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_cl581,plain,
( ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl517,zip_derived_cl50]) ).
thf(zip_derived_cl281_028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X4 @ X2 @ X1 @ X0 @ X3 )
| ( X2
= ( ordered_pair @ ( sk__18 @ X0 @ X1 @ X2 ) @ ( sk__19 @ X0 @ X1 @ X2 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl57]) ).
thf(zip_derived_cl586,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
= ( ordered_pair @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl281]) ).
thf(zip_derived_cl581_029,plain,
( ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl517,zip_derived_cl50]) ).
thf(zip_derived_cl60_030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl582,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) )
= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl60]) ).
thf(zip_derived_cl581_031,plain,
( ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl517,zip_derived_cl50]) ).
thf(zip_derived_cl61_032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ ( cartesian_product2 @ X1 @ X1 ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl583,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl61]) ).
thf(zip_derived_cl600,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl582,zip_derived_cl583]) ).
thf(zip_derived_cl609,plain,
( ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl600]) ).
thf(zip_derived_cl511_033,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl3_034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__3 @ X0 )
!= ( ordered_pair @ X1 @ X2 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X2 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ~ ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl516,plain,
! [X0: $i,X1: $i] :
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl3]) ).
thf(zip_derived_cl614,plain,
! [X0: $i,X1: $i] :
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl516]) ).
thf(zip_derived_cl616,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl614]) ).
thf(zip_derived_cl2020,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1 )
| ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl616]) ).
thf(zip_derived_cl2031,plain,
( ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1 )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2020]) ).
thf(zip_derived_cl581_035,plain,
( ( zip_tseitin_5 @ ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ sk__2 @ sk__1 @ sk_ )
| ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl517,zip_derived_cl50]) ).
thf(zip_derived_cl280_036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X4 @ X2 @ X1 @ X0 @ X3 )
| ( in @ ( ordered_pair @ ( apply @ X1 @ ( sk__18 @ X0 @ X1 @ X2 ) ) @ ( apply @ X1 @ ( sk__19 @ X0 @ X1 @ X2 ) ) ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl56]) ).
thf(zip_derived_cl585,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) )
| ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl280]) ).
thf(zip_derived_cl2038,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2031,zip_derived_cl585]) ).
thf(zip_derived_cl3225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__21 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ~ ( zip_tseitin_5 @ X2 @ X1 @ sk__2 @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3190,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl2038]) ).
thf(zip_derived_cl3226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_5 @ X2 @ X1 @ sk__2 @ sk__1 @ X0 )
| ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3225]) ).
thf(zip_derived_cl3312,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 ) @ X0 )
| ( in @ ( sk__3 @ X0 ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl3226]) ).
thf(zip_derived_cl3360,plain,
in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl3312]) ).
thf(zip_derived_cl3159_037,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1447,zip_derived_cl3081]) ).
thf(zip_derived_cl274_038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk__22 @ X1 @ X0 )
!= ( sk__23 @ X1 @ X0 ) )
| ( zip_tseitin_6 @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) @ X1 @ X0 @ X2 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( relation @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl65]) ).
thf(zip_derived_cl64_039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X3 @ X4 @ X0 ) @ X0 @ X4 @ X3 @ X2 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X4 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__22 @ X1 @ X0 )
!= ( sk__23 @ X1 @ X0 ) )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X0 @ X1 @ X3 ) @ X3 @ X1 @ X0 @ X2 )
| ~ ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl274,zip_derived_cl64]) ).
thf(zip_derived_cl281_040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X4 @ X2 @ X1 @ X0 @ X3 )
| ( X2
= ( ordered_pair @ ( sk__18 @ X0 @ X1 @ X2 ) @ ( sk__19 @ X0 @ X1 @ X2 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl57]) ).
thf(zip_derived_cl426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ ( sk__24 @ X2 @ X1 @ X0 ) )
| ( ( sk__22 @ X2 @ X1 )
!= ( sk__23 @ X2 @ X1 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 )
| ( X3
= ( ordered_pair @ ( sk__18 @ X1 @ X2 @ X3 ) @ ( sk__19 @ X1 @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl281]) ).
thf(zip_derived_cl3208,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ( ( sk__22 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ~ ( function @ sk__2 )
| ~ ( relation @ sk__2 )
| ~ ( relation @ sk__1 )
| ( X1
= ( ordered_pair @ ( sk__18 @ sk__1 @ sk__2 @ X1 ) @ ( sk__19 @ sk__1 @ sk__2 @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3159,zip_derived_cl426]) ).
thf(zip_derived_cl2038_041,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2031,zip_derived_cl585]) ).
thf(zip_derived_cl4_042,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_043,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_044,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3245,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ( X1
= ( ordered_pair @ ( sk__18 @ sk__1 @ sk__2 @ X1 ) @ ( sk__19 @ sk__1 @ sk__2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3208,zip_derived_cl2038,zip_derived_cl4,zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl3246,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( ordered_pair @ ( sk__18 @ sk__1 @ sk__2 @ X1 ) @ ( sk__19 @ sk__1 @ sk__2 @ X1 ) ) )
| ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3245]) ).
thf(zip_derived_cl3470,plain,
( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
= ( ordered_pair @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3360,zip_derived_cl3246]) ).
thf(zip_derived_cl3360_045,plain,
in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl3312]) ).
thf(zip_derived_cl3_046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__3 @ X0 )
!= ( ordered_pair @ X1 @ X2 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X2 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ X0 ) @ ( cartesian_product2 @ sk_ @ sk_ ) )
| ~ ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3367,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 )
| ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3360,zip_derived_cl3]) ).
thf(zip_derived_cl3360_047,plain,
in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl3312]) ).
thf(zip_derived_cl3159_048,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1447,zip_derived_cl3081]) ).
thf(zip_derived_cl277_049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__22 @ X1 @ X0 )
!= ( sk__23 @ X1 @ X0 ) )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X0 @ X1 @ X3 ) @ X3 @ X1 @ X0 @ X2 )
| ~ ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl274,zip_derived_cl64]) ).
thf(zip_derived_cl60_050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ ( sk__24 @ X2 @ X1 @ X0 ) )
| ( ( sk__22 @ X2 @ X1 )
!= ( sk__23 @ X2 @ X1 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 )
| ( ( sk__20 @ X0 @ X1 @ X2 @ X3 )
= X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl60]) ).
thf(zip_derived_cl3207,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ( ( sk__22 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ~ ( function @ sk__2 )
| ~ ( relation @ sk__2 )
| ~ ( relation @ sk__1 )
| ( ( sk__20 @ X0 @ sk__1 @ sk__2 @ X1 )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3159,zip_derived_cl424]) ).
thf(zip_derived_cl2038_051,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2031,zip_derived_cl585]) ).
thf(zip_derived_cl4_052,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_053,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_054,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3243,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ( ( sk__20 @ X0 @ sk__1 @ sk__2 @ X1 )
= X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3207,zip_derived_cl2038,zip_derived_cl4,zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl3244,plain,
! [X0: $i,X1: $i] :
( ( ( sk__20 @ X0 @ sk__1 @ sk__2 @ X1 )
= X1 )
| ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3243]) ).
thf(zip_derived_cl3365,plain,
( ( sk__20 @ sk_ @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) )
= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3360,zip_derived_cl3244]) ).
thf(zip_derived_cl277_055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__22 @ X1 @ X0 )
!= ( sk__23 @ X1 @ X0 ) )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X0 @ X1 @ X3 ) @ X3 @ X1 @ X0 @ X2 )
| ~ ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl274,zip_derived_cl64]) ).
thf(zip_derived_cl61_056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ ( cartesian_product2 @ X1 @ X1 ) )
| ~ ( zip_tseitin_5 @ X0 @ X2 @ X3 @ X4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ ( sk__24 @ X2 @ X1 @ X0 ) )
| ( ( sk__22 @ X2 @ X1 )
!= ( sk__23 @ X2 @ X1 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 )
| ( in @ ( sk__20 @ X0 @ X1 @ X2 @ X3 ) @ ( cartesian_product2 @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl61]) ).
thf(zip_derived_cl3477,plain,
( ~ ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
| ( ( sk__22 @ sk__2 @ sk__1 )
!= ( sk__23 @ sk__2 @ sk__1 ) )
| ~ ( function @ sk__2 )
| ~ ( relation @ sk__2 )
| ~ ( relation @ sk__1 )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3365,zip_derived_cl425]) ).
thf(zip_derived_cl3360_057,plain,
in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl3312]) ).
thf(zip_derived_cl2038_058,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2031,zip_derived_cl585]) ).
thf(zip_derived_cl3159_059,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1447,zip_derived_cl3081]) ).
thf(zip_derived_cl4_060,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_061,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_062,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3496,plain,
( ( ( sk__21 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ( in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3477,zip_derived_cl3360,zip_derived_cl2038,zip_derived_cl3159,zip_derived_cl4,zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl3497,plain,
in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( cartesian_product2 @ sk_ @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3496]) ).
thf(zip_derived_cl3523,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ X1 ) @ ( apply @ sk__2 @ X0 ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3367,zip_derived_cl3497]) ).
thf(zip_derived_cl4258,plain,
( ( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3470,zip_derived_cl3523]) ).
thf(zip_derived_cl3360_063,plain,
in @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ),
inference(eq_fact,[status(thm)],[zip_derived_cl3312]) ).
thf(zip_derived_cl3159_064,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__23 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1447,zip_derived_cl3081]) ).
thf(zip_derived_cl277_065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__22 @ X1 @ X0 )
!= ( sk__23 @ X1 @ X0 ) )
| ( zip_tseitin_5 @ ( sk__20 @ X2 @ X0 @ X1 @ X3 ) @ X3 @ X1 @ X0 @ X2 )
| ~ ( in @ X3 @ ( sk__24 @ X1 @ X0 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl274,zip_derived_cl64]) ).
thf(zip_derived_cl280_066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_5 @ X4 @ X2 @ X1 @ X0 @ X3 )
| ( in @ ( ordered_pair @ ( apply @ X1 @ ( sk__18 @ X0 @ X1 @ X2 ) ) @ ( apply @ X1 @ ( sk__19 @ X0 @ X1 @ X2 ) ) ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl56]) ).
thf(zip_derived_cl427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ ( sk__24 @ X2 @ X1 @ X0 ) )
| ( ( sk__22 @ X2 @ X1 )
!= ( sk__23 @ X2 @ X1 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ ( apply @ X2 @ ( sk__18 @ X1 @ X2 @ X3 ) ) @ ( apply @ X2 @ ( sk__19 @ X1 @ X2 @ X3 ) ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl280]) ).
thf(zip_derived_cl3209,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ( ( sk__22 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ~ ( function @ sk__2 )
| ~ ( relation @ sk__2 )
| ~ ( relation @ sk__1 )
| ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ X1 ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ X1 ) ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3159,zip_derived_cl427]) ).
thf(zip_derived_cl2038_067,plain,
( ( sk__21 @ sk__2 @ sk__1 )
= ( sk__22 @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2031,zip_derived_cl585]) ).
thf(zip_derived_cl4_068,plain,
function @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_069,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_070,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3247,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) )
| ( ( sk__21 @ sk__2 @ sk__1 )
!= ( sk__21 @ sk__2 @ sk__1 ) )
| ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ X1 ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ X1 ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3209,zip_derived_cl2038,zip_derived_cl4,zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl3248,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ X1 ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ X1 ) ) ) @ sk__1 )
| ~ ( in @ X1 @ ( sk__24 @ sk__2 @ sk__1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3247]) ).
thf(zip_derived_cl3715,plain,
in @ ( ordered_pair @ ( apply @ sk__2 @ ( sk__18 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) @ ( apply @ sk__2 @ ( sk__19 @ sk__1 @ sk__2 @ ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ) ) ) @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl3360,zip_derived_cl3248]) ).
thf(zip_derived_cl4264,plain,
( ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) )
!= ( sk__3 @ ( sk__24 @ sk__2 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4258,zip_derived_cl3715]) ).
thf(zip_derived_cl4265,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU277+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MoJfrhWqXQ true
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 18:44:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 12.59/2.41 % Solved by fo/fo6_bce.sh.
% 12.59/2.41 % BCE start: 66
% 12.59/2.41 % BCE eliminated: 3
% 12.59/2.41 % PE start: 63
% 12.59/2.41 logic: eq
% 12.59/2.41 % PE eliminated: 17
% 12.59/2.41 % done 918 iterations in 1.656s
% 12.59/2.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.59/2.41 % SZS output start Refutation
% See solution above
% 12.59/2.42
% 12.59/2.42
% 12.59/2.42 % Terminating...
% 12.61/2.49 % Runner terminated.
% 12.61/2.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------