TSTP Solution File: SEU166+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU166+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.vavqLKP4Q6 true
% Computer : n020.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 19:10:57 EDT 2023
% Result : Theorem 39.77s 6.35s
% Output : Refutation 39.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 68 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 156 ( 27 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 893 ( 55 ~; 85 |; 6 &; 738 @)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-5 aty)
% Number of variables : 183 ( 0 ^; 179 !; 4 ?; 183 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $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(t118_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( subset @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) )
& ( subset @ ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( subset @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) )
& ( subset @ ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t118_zfmisc_1]) ).
thf(zip_derived_cl22,plain,
( ~ ( subset @ ( cartesian_product2 @ sk__8 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__10 ) )
| ~ ( subset @ ( cartesian_product2 @ sk__10 @ sk__8 ) @ ( cartesian_product2 @ sk__10 @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__5 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl23,plain,
subset @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__5 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
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_cl7,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_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X0 @ X1 )
| ( X0
!= ( cartesian_product2 @ X3 @ X2 ) )
| ( zip_tseitin_0 @ ( sk__4 @ ( sk__5 @ X1 @ X0 ) @ X2 @ X3 ) @ ( sk__3 @ ( sk__5 @ X1 @ X0 ) @ X2 @ X3 ) @ ( sk__5 @ X1 @ X0 ) @ X2 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 )
| ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl3,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_cl1463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ( in @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl1469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( cartesian_product2 @ X1 @ X0 ) @ X2 )
| ~ ( subset @ X0 @ X3 )
| ( in @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) @ X0 @ X1 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl10]) ).
thf(zip_derived_cl1507,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__4 @ ( sk__5 @ X1 @ ( cartesian_product2 @ X0 @ sk__8 ) ) @ sk__8 @ X0 ) @ sk__9 )
| ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1469]) ).
thf(zip_derived_cl106_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 )
| ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl4,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_cl1464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ( in @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl4]) ).
thf(zip_derived_cl106_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 )
| ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl2,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_cl1462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ( ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) )
= ( ordered_pair @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( in @ X1 @ X4 )
| ~ ( in @ X0 @ X3 )
| ( X2
!= ( ordered_pair @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( in @ X2 @ X5 )
| ( X5
!= ( cartesian_product2 @ X4 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2
!= ( ordered_pair @ X3 @ X4 ) )
| ~ ( in @ X4 @ X1 )
| ~ ( in @ X3 @ X0 )
| ( X5
!= ( cartesian_product2 @ X0 @ X1 ) )
| ( in @ X2 @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
| ( X0
!= ( cartesian_product2 @ X4 @ X3 ) )
| ~ ( in @ X2 @ X4 )
| ~ ( in @ X1 @ X3 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X1 @ X0 )
| ~ ( in @ X3 @ X2 )
| ( in @ ( ordered_pair @ X3 @ X1 ) @ ( cartesian_product2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl15694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( in @ ( sk__5 @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) @ ( cartesian_product2 @ X4 @ X3 ) )
| ( subset @ ( cartesian_product2 @ X1 @ X0 ) @ X2 )
| ~ ( in @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) @ X0 @ X1 ) @ X4 )
| ~ ( in @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) @ X0 @ X1 ) @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1462,zip_derived_cl77]) ).
thf(zip_derived_cl16167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ~ ( in @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ X3 )
| ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ( in @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ ( cartesian_product2 @ X0 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1464,zip_derived_cl15694]) ).
thf(zip_derived_cl16169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ ( cartesian_product2 @ X0 @ X3 ) )
| ~ ( in @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ X3 )
| ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16167]) ).
thf(zip_derived_cl16172,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ X1 )
| ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ X1 )
| ( in @ ( sk__5 @ X1 @ ( cartesian_product2 @ X0 @ sk__8 ) ) @ ( cartesian_product2 @ X0 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1507,zip_derived_cl16169]) ).
thf(zip_derived_cl16174,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__5 @ X1 @ ( cartesian_product2 @ X0 @ sk__8 ) ) @ ( cartesian_product2 @ X0 @ sk__9 ) )
| ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16172]) ).
thf(zip_derived_cl16297,plain,
! [X0: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ ( cartesian_product2 @ X0 @ sk__9 ) )
| ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ ( cartesian_product2 @ X0 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl16174]) ).
thf(zip_derived_cl16298,plain,
! [X0: $i] : ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ ( cartesian_product2 @ X0 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16297]) ).
thf(zip_derived_cl16317,plain,
~ ( subset @ ( cartesian_product2 @ sk__8 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl16298]) ).
thf(zip_derived_cl11_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__5 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl1463_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ( in @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl3]) ).
thf(zip_derived_cl23_005,plain,
subset @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1464_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ( in @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl4]) ).
thf(zip_derived_cl10_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl1510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ~ ( subset @ X0 @ X3 )
| ( in @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1464,zip_derived_cl10]) ).
thf(zip_derived_cl1548,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) @ X0 @ sk__8 ) @ sk__9 )
| ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1510]) ).
thf(zip_derived_cl1462_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ X2 )
| ( ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) )
= ( ordered_pair @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl2]) ).
thf(zip_derived_cl37_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2
!= ( ordered_pair @ X3 @ X4 ) )
| ~ ( in @ X4 @ X1 )
| ~ ( in @ X3 @ X0 )
| ( X5
!= ( cartesian_product2 @ X0 @ X1 ) )
| ( in @ X2 @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl15693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3
!= ( sk__5 @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) )
| ( subset @ ( cartesian_product2 @ X1 @ X0 ) @ X2 )
| ( in @ X3 @ X4 )
| ( X4
!= ( cartesian_product2 @ X6 @ X5 ) )
| ~ ( in @ ( sk__3 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) @ X0 @ X1 ) @ X6 )
| ~ ( in @ ( sk__4 @ ( sk__5 @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) @ X0 @ X1 ) @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1462,zip_derived_cl37]) ).
thf(zip_derived_cl16301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 )
| ~ ( in @ ( sk__4 @ ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) @ X0 @ sk__8 ) @ X2 )
| ( X3
!= ( cartesian_product2 @ sk__9 @ X2 ) )
| ( in @ X4 @ X3 )
| ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 )
| ( X4
!= ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl15693]) ).
thf(zip_derived_cl16304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X4
!= ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) )
| ( in @ X4 @ X3 )
| ( X3
!= ( cartesian_product2 @ sk__9 @ X2 ) )
| ~ ( in @ ( sk__4 @ ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) @ X0 @ sk__8 ) @ X2 )
| ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16301]) ).
thf(zip_derived_cl17024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 )
| ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 )
| ( X2
!= ( cartesian_product2 @ sk__9 @ X0 ) )
| ( in @ X3 @ X2 )
| ( X3
!= ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl16304]) ).
thf(zip_derived_cl17027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3
!= ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) )
| ( in @ X3 @ X2 )
| ( X2
!= ( cartesian_product2 @ sk__9 @ X0 ) )
| ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17024]) ).
thf(zip_derived_cl17029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( cartesian_product2 @ sk__8 @ X1 ) @ X0 )
| ( X2
!= ( cartesian_product2 @ sk__9 @ X1 ) )
| ( in @ ( sk__5 @ X0 @ ( cartesian_product2 @ sk__8 @ X1 ) ) @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl17027]) ).
thf(zip_derived_cl17031,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__5 @ X1 @ ( cartesian_product2 @ sk__8 @ X0 ) ) @ ( cartesian_product2 @ sk__9 @ X0 ) )
| ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl17029]) ).
thf(zip_derived_cl17754,plain,
! [X0: $i] :
( ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ ( cartesian_product2 @ sk__9 @ X0 ) )
| ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ ( cartesian_product2 @ sk__9 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl17031]) ).
thf(zip_derived_cl17755,plain,
! [X0: $i] : ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ ( cartesian_product2 @ sk__9 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17754]) ).
thf(zip_derived_cl17757,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16317,zip_derived_cl17755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU166+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vavqLKP4Q6 true
% 0.14/0.35 % Computer : n020.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 14:52:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % 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
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 39.77/6.35 % Solved by fo/fo4.sh.
% 39.77/6.35 % done 1238 iterations in 5.479s
% 39.77/6.35 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 39.77/6.35 % SZS output start Refutation
% See solution above
% 39.77/6.35
% 39.77/6.35
% 39.77/6.35 % Terminating...
% 40.27/6.47 % Runner terminated.
% 40.27/6.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------