TSTP Solution File: SET810+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET810+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iTZqFVi5TZ 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 16:16:08 EDT 2023
% Result : Theorem 0.56s 1.01s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 39
% Syntax : Number of formulae : 69 ( 16 unt; 25 typ; 0 def)
% Number of atoms : 106 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 355 ( 26 ~; 18 |; 20 &; 267 @)
% ( 13 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 18 usr; 5 con; 0-5 aty)
% Number of variables : 88 ( 0 ^; 86 !; 2 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(strict_order_type,type,
strict_order: $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(least_type,type,
least: $i > $i > $i > $o ).
thf(strict_well_order_type,type,
strict_well_order: $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(member_predicate_type,type,
member_predicate: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(on_type,type,
on: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(set_type,type,
set: $i > $o ).
thf(thV3,conjecture,
! [A: $i,B: $i] :
( ( ( member @ A @ on )
& ( member @ B @ on ) )
=> ~ ( ( member @ A @ B )
& ( member @ B @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( member @ A @ on )
& ( member @ B @ on ) )
=> ~ ( ( member @ A @ B )
& ( member @ B @ A ) ) ),
inference('cnf.neg',[status(esa)],[thV3]) ).
thf(zip_derived_cl78,plain,
member @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77,plain,
member @ sk__14 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
member @ sk__13 @ on,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ordinal_number,axiom,
! [A: $i] :
( ( member @ A @ on )
<=> ( ( set @ A )
& ( strict_well_order @ member_predicate @ A )
& ! [X: $i] :
( ( member @ X @ A )
=> ( subset @ X @ A ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( member @ X1 @ on ) ),
inference(cnf,[status(esa)],[ordinal_number]) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__13 )
| ( subset @ X0 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl31]) ).
thf(zip_derived_cl132,plain,
subset @ sk__14 @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl129]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl133,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__14 )
| ( member @ X0 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl0]) ).
thf(zip_derived_cl140,plain,
member @ sk__13 @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl133]) ).
thf(zip_derived_cl140_001,plain,
member @ sk__13 @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl133]) ).
thf(strict_order,axiom,
! [R: $i,E: $i] :
( ( strict_order @ R @ E )
<=> ( ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ Z @ E )
& ( member @ Y @ E )
& ( member @ X @ E ) )
=> ( ( ( apply @ R @ Y @ Z )
& ( apply @ R @ X @ Y ) )
=> ( apply @ R @ X @ Z ) ) )
& ! [X: $i,Y: $i] :
( ( ( member @ Y @ E )
& ( member @ X @ E ) )
=> ~ ( ( apply @ R @ Y @ X )
& ( apply @ R @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [Y: $i,X: $i,E: $i] :
( ( zip_tseitin_4 @ Y @ X @ E )
<=> ( ( member @ X @ E )
& ( member @ Y @ E ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl708,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ sk__13 @ X0 @ sk__13 )
| ~ ( member @ X0 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl61]) ).
thf(zip_derived_cl1176,plain,
zip_tseitin_4 @ sk__13 @ sk__13 @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl708]) ).
thf(zip_derived_cl80_002,plain,
member @ sk__13 @ on,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( strict_well_order @ member_predicate @ X0 )
| ~ ( member @ X0 @ on ) ),
inference(cnf,[status(esa)],[ordinal_number]) ).
thf(zip_derived_cl94,plain,
strict_well_order @ member_predicate @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl30]) ).
thf(strict_well_order,axiom,
! [R: $i,E: $i] :
( ( strict_well_order @ R @ E )
<=> ( ( strict_order @ R @ E )
& ! [A: $i] :
( ( ( subset @ A @ E )
& ? [X: $i] : ( member @ X @ A ) )
=> ? [Y: $i] : ( least @ Y @ R @ A ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( strict_order @ X0 @ X1 )
| ~ ( strict_well_order @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[strict_well_order]) ).
thf(zip_derived_cl106,plain,
strict_order @ member_predicate @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl34]) ).
thf(zf_stmt_2,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y: $i,X: $i,E: $i,R: $i] :
( ( zip_tseitin_6 @ Y @ X @ E @ R )
<=> ( ( zip_tseitin_4 @ Y @ X @ E )
=> ~ ( zip_tseitin_5 @ Y @ X @ R ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [Y: $i,X: $i,R: $i] :
( ( zip_tseitin_5 @ Y @ X @ R )
<=> ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_7,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [Z: $i,Y: $i,X: $i,E: $i,R: $i] :
( ( zip_tseitin_3 @ Z @ Y @ X @ E @ R )
<=> ( ( zip_tseitin_0 @ Z @ Y @ X @ E )
=> ( zip_tseitin_2 @ Z @ Y @ X @ R ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [Z: $i,Y: $i,X: $i,R: $i] :
( ( zip_tseitin_2 @ Z @ Y @ X @ R )
<=> ( ( zip_tseitin_1 @ Z @ Y @ X @ R )
=> ( apply @ R @ X @ Z ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [Z: $i,Y: $i,X: $i,R: $i] :
( ( zip_tseitin_1 @ Z @ Y @ X @ R )
<=> ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [Z: $i,Y: $i,X: $i,E: $i] :
( ( zip_tseitin_0 @ Z @ Y @ X @ E )
<=> ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) ) ) ).
thf(zf_stmt_15,axiom,
! [R: $i,E: $i] :
( ( strict_order @ R @ E )
<=> ( ! [X: $i,Y: $i] : ( zip_tseitin_6 @ Y @ X @ E @ R )
& ! [X: $i,Y: $i,Z: $i] : ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_6 @ X0 @ X1 @ X2 @ X3 )
| ~ ( strict_order @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl447,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_6 @ X1 @ X0 @ sk__13 @ member_predicate ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_5 @ X0 @ X1 @ X3 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl449,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_4 @ X1 @ X0 @ sk__13 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ member_predicate ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl65]) ).
thf(zip_derived_cl1180,plain,
~ ( zip_tseitin_5 @ sk__13 @ sk__13 @ member_predicate ),
inference('s_sup-',[status(thm)],[zip_derived_cl1176,zip_derived_cl449]) ).
thf(zip_derived_cl140_003,plain,
member @ sk__13 @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl133]) ).
thf(rel_member,axiom,
! [X: $i,Y: $i] :
( ( apply @ member_predicate @ X @ Y )
<=> ( member @ X @ Y ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( apply @ member_predicate @ X0 @ X1 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[rel_member]) ).
thf(zip_derived_cl185,plain,
apply @ member_predicate @ sk__13 @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl45]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ~ ( apply @ X2 @ X0 @ X1 )
| ~ ( apply @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1564,plain,
zip_tseitin_5 @ sk__13 @ sk__13 @ member_predicate,
inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl64]) ).
thf(zip_derived_cl1578,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl1564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET810+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iTZqFVi5TZ true
% 0.14/0.35 % Computer : n024.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 : Sat Aug 26 11:13:39 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
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.01 % Solved by fo/fo13.sh.
% 0.56/1.01 % done 387 iterations in 0.213s
% 0.56/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/1.01 % SZS output start Refutation
% See solution above
% 0.56/1.01
% 0.56/1.01
% 0.56/1.01 % Terminating...
% 0.58/1.06 % Runner terminated.
% 0.58/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------