TSTP Solution File: SET951+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RFOparORfd true
% Computer : n014.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 16:16:58 EDT 2023
% Result : Theorem 4.62s 1.26s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 91 ( 42 unt; 15 typ; 0 def)
% Number of atoms : 130 ( 50 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 617 ( 43 ~; 34 |; 12 &; 520 @)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-5 aty)
% Number of variables : 133 ( 0 ^; 129 !; 4 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf('#_fresh_sk2_type',type,
'#_fresh_sk2': $i > $i ).
thf(t104_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) )
& ! [F: $i,G: $i] :
~ ( ( A
= ( ordered_pair @ F @ G ) )
& ( in @ F @ ( set_intersection2 @ B @ D ) )
& ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) )
& ! [F: $i,G: $i] :
~ ( ( A
= ( ordered_pair @ F @ G ) )
& ( in @ F @ ( set_intersection2 @ B @ D ) )
& ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ),
inference('cnf.neg',[status(esa)],[t104_zfmisc_1]) ).
thf(zip_derived_cl23,plain,
in @ sk__8 @ ( set_intersection2 @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
| ( in @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl36]) ).
thf(zip_derived_cl54,plain,
in @ sk__8 @ ( cartesian_product2 @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl37]) ).
thf(d2_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( cartesian_product2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i,F: $i] :
( ( in @ E @ A )
& ( in @ F @ B )
& ( D
= ( ordered_pair @ E @ F ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [F: $i,E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ F @ E @ D @ B @ A )
<=> ( ( D
= ( ordered_pair @ E @ F ) )
& ( in @ F @ B )
& ( in @ E @ A ) ) ) ).
thf(zf_stmt_3,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( cartesian_product2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i,F: $i] : ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_0 @ ( sk__4 @ X0 @ X2 @ X3 ) @ ( sk__3 @ X0 @ X2 @ X3 ) @ X0 @ X2 @ X3 )
| ( X1
!= ( cartesian_product2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ ( sk__4 @ X2 @ X1 @ X0 ) @ ( sk__3 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ~ ( in @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl450,plain,
zip_tseitin_0 @ ( sk__4 @ sk__8 @ sk__10 @ sk__9 ) @ ( sk__3 @ sk__8 @ sk__10 @ sk__9 ) @ sk__8 @ sk__10 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl76]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl2027,plain,
in @ ( sk__4 @ sk__8 @ sk__10 @ sk__9 ) @ sk__10,
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl4]) ).
thf(zip_derived_cl450_001,plain,
zip_tseitin_0 @ ( sk__4 @ sk__8 @ sk__10 @ sk__9 ) @ ( sk__3 @ sk__8 @ sk__10 @ sk__9 ) @ sk__8 @ sk__10 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl76]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
= ( ordered_pair @ X0 @ X1 ) )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl2026,plain,
( sk__8
= ( ordered_pair @ ( sk__3 @ sk__8 @ sk__10 @ sk__9 ) @ ( sk__4 @ sk__8 @ sk__10 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl3]) ).
thf(zip_derived_cl23_002,plain,
in @ sk__8 @ ( set_intersection2 @ ( cartesian_product2 @ sk__9 @ sk__10 ) @ ( cartesian_product2 @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl53,plain,
in @ sk__8 @ ( cartesian_product2 @ sk__11 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl36]) ).
thf(zip_derived_cl76_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ ( sk__4 @ X2 @ X1 @ X0 ) @ ( sk__3 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ~ ( in @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl449,plain,
zip_tseitin_0 @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ sk__8 @ sk__12 @ sk__11,
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl76]) ).
thf(zip_derived_cl3_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
= ( ordered_pair @ X0 @ X1 ) )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl735,plain,
( sk__8
= ( ordered_pair @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl3]) ).
thf(zip_derived_cl735_006,plain,
( sk__8
= ( ordered_pair @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl3]) ).
thf(t33_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ordered_pair @ A @ B )
= ( ordered_pair @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( ordered_pair @ X1 @ X3 )
!= ( ordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t33_zfmisc_1]) ).
thf(zip_derived_cl28,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk1' @ ( ordered_pair @ X1 @ X3 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl823,plain,
( ( '#_fresh_sk1' @ sk__8 )
= ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl835,plain,
( sk__8
= ( ordered_pair @ ( '#_fresh_sk1' @ sk__8 ) @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl823]) ).
thf(zip_derived_cl835_007,plain,
( sk__8
= ( ordered_pair @ ( '#_fresh_sk1' @ sk__8 ) @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl823]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( ordered_pair @ X3 @ X1 )
!= ( ordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[t33_zfmisc_1]) ).
thf(zip_derived_cl32,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk2' @ ( ordered_pair @ X3 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl860,plain,
( ( '#_fresh_sk2' @ sk__8 )
= ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl835,zip_derived_cl32]) ).
thf(zip_derived_cl940,plain,
( sk__8
= ( ordered_pair @ ( '#_fresh_sk1' @ sk__8 ) @ ( '#_fresh_sk2' @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl835,zip_derived_cl860]) ).
thf(zip_derived_cl25_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( ordered_pair @ X3 @ X1 )
!= ( ordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[t33_zfmisc_1]) ).
thf(zip_derived_cl961,plain,
! [X0: $i,X1: $i] :
( ( ( ordered_pair @ X1 @ X0 )
!= sk__8 )
| ( X0
= ( '#_fresh_sk2' @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl25]) ).
thf(zip_derived_cl2062,plain,
( ( sk__8 != sk__8 )
| ( ( sk__4 @ sk__8 @ sk__10 @ sk__9 )
= ( '#_fresh_sk2' @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2026,zip_derived_cl961]) ).
thf(zip_derived_cl2082,plain,
( ( sk__4 @ sk__8 @ sk__10 @ sk__9 )
= ( '#_fresh_sk2' @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2062]) ).
thf(zip_derived_cl2187,plain,
in @ ( '#_fresh_sk2' @ sk__8 ) @ sk__10,
inference(demod,[status(thm)],[zip_derived_cl2027,zip_derived_cl2082]) ).
thf(zip_derived_cl449_009,plain,
zip_tseitin_0 @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ sk__8 @ sk__12 @ sk__11,
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl76]) ).
thf(zip_derived_cl4_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl736,plain,
in @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl744,plain,
! [X0: $i] :
( ~ ( in @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) @ X0 )
| ( in @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) @ ( set_intersection2 @ X0 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl50]) ).
thf(zip_derived_cl860_011,plain,
( ( '#_fresh_sk2' @ sk__8 )
= ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl835,zip_derived_cl32]) ).
thf(zip_derived_cl860_012,plain,
( ( '#_fresh_sk2' @ sk__8 )
= ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl835,zip_derived_cl32]) ).
thf(zip_derived_cl939,plain,
! [X0: $i] :
( ~ ( in @ ( '#_fresh_sk2' @ sk__8 ) @ X0 )
| ( in @ ( '#_fresh_sk2' @ sk__8 ) @ ( set_intersection2 @ X0 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl744,zip_derived_cl860,zip_derived_cl860]) ).
thf(zip_derived_cl2197,plain,
in @ ( '#_fresh_sk2' @ sk__8 ) @ ( set_intersection2 @ sk__10 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl2187,zip_derived_cl939]) ).
thf(zip_derived_cl450_013,plain,
zip_tseitin_0 @ ( sk__4 @ sk__8 @ sk__10 @ sk__9 ) @ ( sk__3 @ sk__8 @ sk__10 @ sk__9 ) @ sk__8 @ sk__10 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl76]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl2028,plain,
in @ ( sk__3 @ sk__8 @ sk__10 @ sk__9 ) @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl5]) ).
thf(zip_derived_cl2026_014,plain,
( sk__8
= ( ordered_pair @ ( sk__3 @ sk__8 @ sk__10 @ sk__9 ) @ ( sk__4 @ sk__8 @ sk__10 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl3]) ).
thf(zip_derived_cl28_015,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk1' @ ( ordered_pair @ X1 @ X3 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl2065,plain,
( ( '#_fresh_sk1' @ sk__8 )
= ( sk__3 @ sk__8 @ sk__10 @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2026,zip_derived_cl28]) ).
thf(zip_derived_cl2085,plain,
in @ ( '#_fresh_sk1' @ sk__8 ) @ sk__9,
inference(demod,[status(thm)],[zip_derived_cl2028,zip_derived_cl2065]) ).
thf(zip_derived_cl449_016,plain,
zip_tseitin_0 @ ( sk__4 @ sk__8 @ sk__12 @ sk__11 ) @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ sk__8 @ sk__12 @ sk__11,
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl76]) ).
thf(zip_derived_cl5_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl737,plain,
in @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ sk__11,
inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl5]) ).
thf(zip_derived_cl50_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl750,plain,
! [X0: $i] :
( ~ ( in @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ X0 )
| ( in @ ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) @ ( set_intersection2 @ X0 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl50]) ).
thf(zip_derived_cl823_019,plain,
( ( '#_fresh_sk1' @ sk__8 )
= ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl823_020,plain,
( ( '#_fresh_sk1' @ sk__8 )
= ( sk__3 @ sk__8 @ sk__12 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl28]) ).
thf(zip_derived_cl838,plain,
! [X0: $i] :
( ~ ( in @ ( '#_fresh_sk1' @ sk__8 ) @ X0 )
| ( in @ ( '#_fresh_sk1' @ sk__8 ) @ ( set_intersection2 @ X0 @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl750,zip_derived_cl823,zip_derived_cl823]) ).
thf(zip_derived_cl2094,plain,
in @ ( '#_fresh_sk1' @ sk__8 ) @ ( set_intersection2 @ sk__9 @ sk__11 ),
inference('sup-',[status(thm)],[zip_derived_cl2085,zip_derived_cl838]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( set_intersection2 @ sk__9 @ sk__11 ) )
| ~ ( in @ X1 @ ( set_intersection2 @ sk__10 @ sk__12 ) )
| ( sk__8
!= ( ordered_pair @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2159,plain,
! [X0: $i] :
( ( sk__8
!= ( ordered_pair @ ( '#_fresh_sk1' @ sk__8 ) @ X0 ) )
| ~ ( in @ X0 @ ( set_intersection2 @ sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2094,zip_derived_cl22]) ).
thf(zip_derived_cl2360,plain,
( sk__8
!= ( ordered_pair @ ( '#_fresh_sk1' @ sk__8 ) @ ( '#_fresh_sk2' @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2197,zip_derived_cl2159]) ).
thf(zip_derived_cl940_021,plain,
( sk__8
= ( ordered_pair @ ( '#_fresh_sk1' @ sk__8 ) @ ( '#_fresh_sk2' @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl835,zip_derived_cl860]) ).
thf(zip_derived_cl2365,plain,
sk__8 != sk__8,
inference(demod,[status(thm)],[zip_derived_cl2360,zip_derived_cl940]) ).
thf(zip_derived_cl2366,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RFOparORfd true
% 0.18/0.36 % Computer : n014.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Sat Aug 26 09:41:32 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.37 % Number of cores: 8
% 0.18/0.37 % Python version: Python 3.6.8
% 0.18/0.37 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.62/1.26 % Solved by fo/fo5.sh.
% 4.62/1.26 % done 506 iterations in 0.434s
% 4.62/1.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.62/1.26 % SZS output start Refutation
% See solution above
% 4.62/1.26
% 4.62/1.26
% 4.62/1.26 % Terminating...
% 5.06/1.37 % Runner terminated.
% 5.06/1.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------