TSTP Solution File: SEV517+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV517+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6YY8VbKYp3 true
% Computer : n015.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 20:00:58 EDT 2023
% Result : Theorem 41.42s 6.49s
% Output : Refutation 41.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 33
% Syntax : Number of formulae : 65 ( 13 unt; 22 typ; 0 def)
% Number of atoms : 101 ( 5 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 355 ( 29 ~; 23 |; 15 &; 268 @)
% ( 10 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 81 ( 0 ^; 75 !; 6 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(sk__24_type,type,
sk__24: $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(partition_type,type,
partition: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__25_type,type,
sk__25: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(diff_elem_in_partition,conjecture,
! [X: $i,A: $i,B: $i,P: $i] :
( ( ( member @ X @ ( difference @ A @ B ) )
& ( partition @ P @ A ) )
=> ? [S: $i] :
( ( member @ X @ S )
& ( member @ S @ ( difference @ P @ ( singleton @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,A: $i,B: $i,P: $i] :
( ( ( member @ X @ ( difference @ A @ B ) )
& ( partition @ P @ A ) )
=> ? [S: $i] :
( ( member @ X @ S )
& ( member @ S @ ( difference @ P @ ( singleton @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[diff_elem_in_partition]) ).
thf(zip_derived_cl113,plain,
member @ sk__24 @ ( difference @ sk__25 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(difference,axiom,
! [B: $i,A: $i,E: $i] :
( ( member @ B @ ( difference @ E @ A ) )
<=> ( ( member @ B @ E )
& ~ ( member @ B @ A ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference]) ).
thf(zip_derived_cl859,plain,
~ ( member @ sk__24 @ sk__26 ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl16]) ).
thf(zip_derived_cl112,plain,
partition @ sk__27 @ sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(partition,axiom,
! [A: $i,E: $i] :
( ( partition @ A @ E )
<=> ( ! [X: $i,Y: $i] :
( ( ( member @ Y @ A )
& ( member @ X @ A ) )
=> ( ? [Z: $i] :
( ( member @ Z @ X )
& ( member @ Z @ Y ) )
=> ( X = Y ) ) )
& ! [X: $i] :
( ( member @ X @ E )
=> ? [Y: $i] :
( ( member @ Y @ A )
& ( member @ X @ Y ) ) )
& ! [X: $i] :
( ( member @ X @ A )
=> ( subset @ X @ E ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [X: $i,E: $i,A: $i] :
( ( zip_tseitin_5 @ X @ E @ A )
<=> ( ( member @ X @ A )
=> ( subset @ X @ E ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [X: $i,E: $i,A: $i] :
( ( zip_tseitin_4 @ X @ E @ A )
<=> ( ( member @ X @ E )
=> ? [Y: $i] :
( ( member @ X @ Y )
& ( member @ Y @ A ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [Y: $i,X: $i,A: $i] :
( ( zip_tseitin_3 @ Y @ X @ A )
<=> ( ( zip_tseitin_0 @ Y @ X @ A )
=> ( zip_tseitin_2 @ Y @ X ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_2 @ Y @ X )
<=> ( ? [Z: $i] : ( zip_tseitin_1 @ Z @ Y @ X )
=> ( X = Y ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [Z: $i,Y: $i,X: $i] :
( ( zip_tseitin_1 @ Z @ Y @ X )
<=> ( ( member @ Z @ Y )
& ( member @ Z @ X ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [Y: $i,X: $i,A: $i] :
( ( zip_tseitin_0 @ Y @ X @ A )
<=> ( ( member @ X @ A )
& ( member @ Y @ A ) ) ) ).
thf(zf_stmt_13,axiom,
! [A: $i,E: $i] :
( ( partition @ A @ E )
<=> ( ! [X: $i] : ( zip_tseitin_5 @ X @ E @ A )
& ! [X: $i] : ( zip_tseitin_4 @ X @ E @ A )
& ! [X: $i,Y: $i] : ( zip_tseitin_3 @ Y @ X @ A ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ~ ( partition @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ ( sk__5 @ X2 @ X0 ) @ X2 )
| ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( partition @ X0 @ X1 )
| ~ ( member @ X2 @ X1 )
| ( member @ ( sk__5 @ X0 @ X2 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl44]) ).
thf(zip_derived_cl1136,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__25 )
| ( member @ ( sk__5 @ sk__27 @ X0 ) @ sk__27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl1081]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference]) ).
thf(zip_derived_cl112_001,plain,
partition @ sk__27 @ sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ~ ( partition @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ ( sk__5 @ X2 @ X0 ) )
| ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1086,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( partition @ X0 @ X1 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ ( sk__5 @ X0 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl45]) ).
thf(zip_derived_cl1100,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__25 )
| ( member @ X0 @ ( sk__5 @ sk__27 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl1086]) ).
thf(zip_derived_cl111,plain,
! [X0: $i] :
( ~ ( member @ sk__24 @ X0 )
| ~ ( member @ X0 @ ( difference @ sk__27 @ ( singleton @ sk__26 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5703,plain,
( ~ ( member @ sk__24 @ sk__25 )
| ~ ( member @ ( sk__5 @ sk__27 @ sk__24 ) @ ( difference @ sk__27 @ ( singleton @ sk__26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl111]) ).
thf(zip_derived_cl113_003,plain,
member @ sk__24 @ ( difference @ sk__25 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference]) ).
thf(zip_derived_cl886,plain,
member @ sk__24 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl15]) ).
thf(zip_derived_cl5796,plain,
~ ( member @ ( sk__5 @ sk__27 @ sk__24 ) @ ( difference @ sk__27 @ ( singleton @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5703,zip_derived_cl886]) ).
thf(zip_derived_cl5874,plain,
( ~ ( member @ ( sk__5 @ sk__27 @ sk__24 ) @ sk__27 )
| ( member @ ( sk__5 @ sk__27 @ sk__24 ) @ ( singleton @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl5796]) ).
thf(zip_derived_cl32639,plain,
( ~ ( member @ sk__24 @ sk__25 )
| ( member @ ( sk__5 @ sk__27 @ sk__24 ) @ ( singleton @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1136,zip_derived_cl5874]) ).
thf(zip_derived_cl886_004,plain,
member @ sk__24 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl15]) ).
thf(zip_derived_cl32640,plain,
member @ ( sk__5 @ sk__27 @ sk__24 ) @ ( singleton @ sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl32639,zip_derived_cl886]) ).
thf(singleton,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( singleton @ A ) )
<=> ( X = A ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl32718,plain,
( ( sk__5 @ sk__27 @ sk__24 )
= sk__26 ),
inference('s_sup-',[status(thm)],[zip_derived_cl32640,zip_derived_cl18]) ).
thf(zip_derived_cl1100_005,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__25 )
| ( member @ X0 @ ( sk__5 @ sk__27 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl1086]) ).
thf(zip_derived_cl32735,plain,
( ~ ( member @ sk__24 @ sk__25 )
| ( member @ sk__24 @ sk__26 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32718,zip_derived_cl1100]) ).
thf(zip_derived_cl886_006,plain,
member @ sk__24 @ sk__25,
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl15]) ).
thf(zip_derived_cl32738,plain,
member @ sk__24 @ sk__26,
inference(demod,[status(thm)],[zip_derived_cl32735,zip_derived_cl886]) ).
thf(zip_derived_cl32945,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl859,zip_derived_cl32738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV517+1 : TPTP v8.1.2. Released v7.3.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6YY8VbKYp3 true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 02:42:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 41.42/6.49 % Solved by fo/fo6_bce.sh.
% 41.42/6.49 % BCE start: 114
% 41.42/6.49 % BCE eliminated: 0
% 41.42/6.49 % PE start: 114
% 41.42/6.49 logic: eq
% 41.42/6.49 % PE eliminated: 20
% 41.42/6.49 % done 2621 iterations in 5.762s
% 41.42/6.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 41.42/6.49 % SZS output start Refutation
% See solution above
% 41.42/6.49
% 41.42/6.49
% 41.42/6.49 % Terminating...
% 41.58/6.58 % Runner terminated.
% 41.58/6.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------