TSTP Solution File: SET600+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET600+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qZRUZMcm0v true
% Computer : n018.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 16:14:52 EDT 2023
% Result : Theorem 0.20s 0.78s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 91 ( 41 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 226 ( 30 ~; 35 |; 3 &; 152 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(union_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( union @ B @ C ) )
<=> ( ( member @ D @ B )
| ( member @ D @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ ( union @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X0 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl246,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X1 @ ( union @ X0 @ empty_set ) ) @ X0 )
| ( subset @ ( union @ X0 @ empty_set ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl3]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl287,plain,
! [X0: $i] : ( subset @ ( union @ empty_set @ empty_set ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl3]) ).
thf(zip_derived_cl10_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl131,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl138,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl6]) ).
thf(zip_derived_cl304,plain,
( ( union @ empty_set @ empty_set )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl138]) ).
thf(prove_th59,conjecture,
! [B: $i,C: $i] :
( ( ( union @ B @ C )
= empty_set )
<=> ( ( B = empty_set )
& ( C = empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( ( union @ B @ C )
= empty_set )
<=> ( ( B = empty_set )
& ( C = empty_set ) ) ),
inference('cnf.neg',[status(esa)],[prove_th59]) ).
thf(zip_derived_cl20,plain,
( ( sk__4 != empty_set )
| ( sk__3 != empty_set )
| ( ( union @ sk__3 @ sk__4 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl18,plain,
( ( sk__3 = empty_set )
| ( ( union @ sk__3 @ sk__4 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( sk__3 = empty_set )
| ( member @ X0 @ empty_set )
| ~ ( member @ X0 @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl1]) ).
thf(zip_derived_cl3_005,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl112,plain,
! [X0: $i] :
( ( sk__3 = empty_set )
| ~ ( member @ X0 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl3]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ( subset @ sk__3 @ X0 )
| ( sk__3 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl112]) ).
thf(zip_derived_cl138_006,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl6]) ).
thf(zip_derived_cl148,plain,
( ( sk__3 = empty_set )
| ( sk__3 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl138]) ).
thf(zip_derived_cl149,plain,
sk__3 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl149_007,plain,
sk__3 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl151,plain,
( ( sk__4 != empty_set )
| ( empty_set != empty_set )
| ( ( union @ empty_set @ sk__4 )
!= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl149,zip_derived_cl149]) ).
thf(zip_derived_cl152,plain,
( ( ( union @ empty_set @ sk__4 )
!= empty_set )
| ( sk__4 != empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl10_008,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl19,plain,
( ( sk__4 = empty_set )
| ( ( union @ sk__3 @ sk__4 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ( sk__4 = empty_set )
| ( member @ X0 @ empty_set )
| ~ ( member @ X0 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl2]) ).
thf(zip_derived_cl3_009,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ( sk__4 = empty_set )
| ~ ( member @ X0 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl3]) ).
thf(zip_derived_cl135,plain,
! [X0: $i] :
( ( subset @ sk__4 @ X0 )
| ( sk__4 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl120]) ).
thf(zip_derived_cl138_010,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl6]) ).
thf(zip_derived_cl175,plain,
( ( sk__4 = empty_set )
| ( sk__4 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl138]) ).
thf(zip_derived_cl176,plain,
sk__4 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl176_011,plain,
sk__4 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl177,plain,
( ( ( union @ empty_set @ empty_set )
!= empty_set )
| ( empty_set != empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl176,zip_derived_cl176]) ).
thf(zip_derived_cl178,plain,
( ( union @ empty_set @ empty_set )
!= empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl309,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl304,zip_derived_cl178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET600+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qZRUZMcm0v true
% 0.18/0.35 % Computer : n018.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 09:48:59 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78 % Solved by fo/fo6_bce.sh.
% 0.20/0.78 % BCE start: 21
% 0.20/0.78 % BCE eliminated: 0
% 0.20/0.78 % PE start: 21
% 0.20/0.78 logic: eq
% 0.20/0.78 % PE eliminated: 1
% 0.20/0.78 % done 76 iterations in 0.043s
% 0.20/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78 % SZS output start Refutation
% See solution above
% 0.20/0.78
% 0.20/0.78
% 0.20/0.78 % Terminating...
% 1.48/0.85 % Runner terminated.
% 1.48/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------