TSTP Solution File: SEU166+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU166+3 : 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.JcNCS9qEUM true
% Computer : n032.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 33.52s 5.34s
% Output : Refutation 33.52s
% 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_cl18,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_cl19,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_cl42,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_cl110,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_cl42]) ).
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_cl2130,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_cl110,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_cl2136,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_cl2130,zip_derived_cl10]) ).
thf(zip_derived_cl2187,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_cl19,zip_derived_cl2136]) ).
thf(zip_derived_cl110_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_cl42]) ).
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_cl2131,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_cl110,zip_derived_cl4]) ).
thf(zip_derived_cl110_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_cl42]) ).
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_cl2129,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_cl110,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_cl40,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_cl72,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_cl40]) ).
thf(zip_derived_cl73,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_cl72]) ).
thf(zip_derived_cl15542,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_cl2129,zip_derived_cl73]) ).
thf(zip_derived_cl15626,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_cl2131,zip_derived_cl15542]) ).
thf(zip_derived_cl15628,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_cl15626]) ).
thf(zip_derived_cl15631,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_cl2187,zip_derived_cl15628]) ).
thf(zip_derived_cl15633,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_cl15631]) ).
thf(zip_derived_cl17044,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_cl15633]) ).
thf(zip_derived_cl17045,plain,
! [X0: $i] : ( subset @ ( cartesian_product2 @ X0 @ sk__8 ) @ ( cartesian_product2 @ X0 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17044]) ).
thf(zip_derived_cl17047,plain,
~ ( subset @ ( cartesian_product2 @ sk__8 @ sk__10 ) @ ( cartesian_product2 @ sk__9 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl17045]) ).
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_cl2130_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_cl110,zip_derived_cl3]) ).
thf(zip_derived_cl19_005,plain,
subset @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2131_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_cl110,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_cl2190,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_cl2131,zip_derived_cl10]) ).
thf(zip_derived_cl2241,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_cl19,zip_derived_cl2190]) ).
thf(zip_derived_cl2129_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_cl110,zip_derived_cl2]) ).
thf(zip_derived_cl40_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_cl15541,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_cl2129,zip_derived_cl40]) ).
thf(zip_derived_cl15635,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_cl2241,zip_derived_cl15541]) ).
thf(zip_derived_cl15638,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_cl15635]) ).
thf(zip_derived_cl15647,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_cl2130,zip_derived_cl15638]) ).
thf(zip_derived_cl15650,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_cl15647]) ).
thf(zip_derived_cl15652,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_cl15650]) ).
thf(zip_derived_cl15654,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_cl15652]) ).
thf(zip_derived_cl17713,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_cl15654]) ).
thf(zip_derived_cl17714,plain,
! [X0: $i] : ( subset @ ( cartesian_product2 @ sk__8 @ X0 ) @ ( cartesian_product2 @ sk__9 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17713]) ).
thf(zip_derived_cl17716,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl17047,zip_derived_cl17714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU166+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JcNCS9qEUM true
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Wed Aug 23 19:26:11 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.16/0.54 % Total configuration time : 435
% 0.16/0.54 % Estimated wc time : 1092
% 0.16/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 33.52/5.34 % Solved by fo/fo4.sh.
% 33.52/5.34 % done 1214 iterations in 4.696s
% 33.52/5.34 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.52/5.34 % SZS output start Refutation
% See solution above
% 33.52/5.34
% 33.52/5.34
% 33.52/5.35 % Terminating...
% 34.13/5.48 % Runner terminated.
% 34.13/5.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------