TSTP Solution File: SET950+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET950+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.pgxIKPxKQG true
% Computer : n024.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 16:16:57 EDT 2023
% Result : Theorem 1.53s 0.86s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 39 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 59 ( 13 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 256 ( 22 ~; 13 |; 12 &; 202 @)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 61 ( 0 ^; 57 !; 4 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(t103_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ D @ A )
& ! [E: $i,F: $i] :
~ ( ( in @ E @ B )
& ( in @ F @ C )
& ( D
= ( ordered_pair @ E @ F ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ D @ A )
& ! [E: $i,F: $i] :
~ ( ( in @ E @ B )
& ( in @ F @ C )
& ( D
= ( ordered_pair @ E @ F ) ) ) ),
inference('cnf.neg',[status(esa)],[t103_zfmisc_1]) ).
thf(zip_derived_cl18,plain,
in @ sk__11 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
subset @ sk__8 @ ( cartesian_product2 @ sk__9 @ sk__10 ),
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_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_cl25,plain,
! [X0: $i] :
( ( in @ X0 @ ( cartesian_product2 @ sk__9 @ sk__10 ) )
| ~ ( in @ X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf(zip_derived_cl30,plain,
in @ sk__11 @ ( cartesian_product2 @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl25]) ).
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_cl83,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_cl7]) ).
thf(zip_derived_cl92,plain,
zip_tseitin_0 @ ( sk__4 @ sk__11 @ sk__10 @ sk__9 ) @ ( sk__3 @ sk__11 @ sk__10 @ sk__9 ) @ sk__11 @ sk__10 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl83]) ).
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_cl351,plain,
( sk__11
= ( ordered_pair @ ( sk__3 @ sk__11 @ sk__10 @ sk__9 ) @ ( sk__4 @ sk__11 @ sk__10 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl2]) ).
thf(zip_derived_cl92_001,plain,
zip_tseitin_0 @ ( sk__4 @ sk__11 @ sk__10 @ sk__9 ) @ ( sk__3 @ sk__11 @ sk__10 @ sk__9 ) @ sk__11 @ sk__10 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl83]) ).
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_cl353,plain,
in @ ( sk__3 @ sk__11 @ sk__10 @ sk__9 ) @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl4]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__9 )
| ( sk__11
!= ( ordered_pair @ X0 @ X1 ) )
| ~ ( in @ X1 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__10 )
| ( sk__11
!= ( ordered_pair @ ( sk__3 @ sk__11 @ sk__10 @ sk__9 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl19]) ).
thf(zip_derived_cl475,plain,
( ( sk__11 != sk__11 )
| ~ ( in @ ( sk__4 @ sk__11 @ sk__10 @ sk__9 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl373]) ).
thf(zip_derived_cl92_002,plain,
zip_tseitin_0 @ ( sk__4 @ sk__11 @ sk__10 @ sk__9 ) @ ( sk__3 @ sk__11 @ sk__10 @ sk__9 ) @ sk__11 @ sk__10 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl83]) ).
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_cl352,plain,
in @ ( sk__4 @ sk__11 @ sk__10 @ sk__9 ) @ sk__10,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl3]) ).
thf(zip_derived_cl476,plain,
sk__11 != sk__11,
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl352]) ).
thf(zip_derived_cl477,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET950+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pgxIKPxKQG true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:25:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.53/0.86 % Solved by fo/fo5.sh.
% 1.53/0.86 % done 128 iterations in 0.076s
% 1.53/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.53/0.86 % SZS output start Refutation
% See solution above
% 1.53/0.86
% 1.53/0.86
% 1.53/0.86 % Terminating...
% 1.94/0.95 % Runner terminated.
% 1.94/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------