TSTP Solution File: SET595+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET595+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.ffEKnCcpGN 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 16:14:48 EDT 2023
% Result : Theorem 182.07s 26.55s
% Output : Refutation 182.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 67 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 126 ( 24 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 582 ( 31 ~; 56 |; 2 &; 484 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 127 ( 0 ^; 127 !; 0 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
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__1 @ 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_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk__1 @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X2 @ ( union @ ( difference @ X1 @ X0 ) @ X3 ) )
| ( member @ ( sk__1 @ ( union @ ( difference @ X1 @ X0 ) @ X3 ) @ X2 ) @ X0 )
| ~ ( member @ ( sk__1 @ ( union @ ( difference @ X1 @ X0 ) @ X3 ) @ X2 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl7]) ).
thf(zip_derived_cl1168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ ( union @ ( difference @ X0 @ X2 ) @ X1 ) )
| ( subset @ X0 @ ( union @ ( difference @ X0 @ X2 ) @ X1 ) )
| ( member @ ( sk__1 @ ( union @ ( difference @ X0 @ X2 ) @ X1 ) @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl111]) ).
thf(zip_derived_cl1182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ ( sk__1 @ ( union @ ( difference @ X0 @ X2 ) @ X1 ) @ X0 ) @ X2 )
| ( subset @ X0 @ ( union @ ( difference @ X0 @ X2 ) @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1168]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl9_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk__1 @ ( union @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl51163,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( union @ ( difference @ X1 @ X0 ) @ X0 ) )
| ( subset @ X1 @ ( union @ ( difference @ X1 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl72]) ).
thf(commutativity_of_union,axiom,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl51310,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( union @ X0 @ ( difference @ X1 @ X0 ) ) )
| ( subset @ X1 @ ( union @ X0 @ ( difference @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51163,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl51311,plain,
! [X0: $i,X1: $i] : ( subset @ X1 @ ( union @ X0 @ ( difference @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl51310]) ).
thf(zip_derived_cl14_003,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(member_equal,axiom,
! [B: $i,C: $i] :
( ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) )
=> ( B = C ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( member @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[member_equal]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( X2
= ( union @ X1 @ X0 ) )
| ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl404,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ ( union @ X0 @ X1 ) @ X0 ) @ X0 )
| ( X0
= ( union @ X0 @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl490,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X0 ) @ X0 )
| ( X0
= ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl404]) ).
thf(zip_derived_cl2,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_cl1,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( member @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[member_equal]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X0 )
| ( X2
= ( union @ X1 @ X0 ) )
| ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ ( sk_ @ ( union @ ( difference @ X1 @ X0 ) @ X3 ) @ X2 ) @ X2 )
| ( X2
= ( union @ ( difference @ X1 @ X0 ) @ X3 ) )
| ( member @ ( sk_ @ ( union @ ( difference @ X1 @ X0 ) @ X3 ) @ X2 ) @ X3 )
| ( member @ ( sk_ @ ( union @ ( difference @ X1 @ X0 ) @ X3 ) @ X2 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl5]) ).
thf(zip_derived_cl10794,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( union @ ( difference @ X0 @ X1 ) @ X0 ) )
| ( X0
= ( union @ ( difference @ X0 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl437]) ).
thf(zip_derived_cl10849,plain,
! [X0: $i,X1: $i] :
( X0
= ( union @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10794]) ).
thf(zip_derived_cl59_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk__1 @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).
thf(zip_derived_cl16147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk__1 @ X0 @ X2 ) @ ( difference @ X0 @ X1 ) )
| ( subset @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10849,zip_derived_cl59]) ).
thf(zip_derived_cl10_006,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl2_007,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_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X2 )
| ( member @ ( sk__1 @ X2 @ ( union @ X1 @ X0 ) ) @ X0 )
| ( member @ ( sk__1 @ X2 @ ( union @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).
thf(prove_th54,conjecture,
! [B: $i,C: $i] :
( ( subset @ B @ C )
=> ( C
= ( union @ B @ ( difference @ C @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( subset @ B @ C )
=> ( C
= ( union @ B @ ( difference @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_th54]) ).
thf(zip_derived_cl20,plain,
subset @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl8]) ).
thf(zip_derived_cl9_008,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ~ ( member @ ( sk__1 @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl9]) ).
thf(zip_derived_cl706,plain,
! [X0: $i] :
( ( member @ ( sk__1 @ sk__4 @ ( union @ X0 @ sk__3 ) ) @ X0 )
| ( subset @ ( union @ X0 @ sk__3 ) @ sk__4 )
| ( subset @ ( union @ X0 @ sk__3 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl56]) ).
thf(zip_derived_cl744,plain,
! [X0: $i] :
( ( subset @ ( union @ X0 @ sk__3 ) @ sk__4 )
| ( member @ ( sk__1 @ sk__4 @ ( union @ X0 @ sk__3 ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl706]) ).
thf(zip_derived_cl21728,plain,
! [X0: $i] :
( ( subset @ ( union @ ( difference @ sk__4 @ X0 ) @ sk__3 ) @ sk__4 )
| ( subset @ ( union @ ( difference @ sk__4 @ X0 ) @ sk__3 ) @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16147,zip_derived_cl744]) ).
thf(zip_derived_cl14_009,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl14_010,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl21742,plain,
! [X0: $i] :
( ( subset @ ( union @ sk__3 @ ( difference @ sk__4 @ X0 ) ) @ sk__4 )
| ( subset @ ( union @ sk__3 @ ( difference @ sk__4 @ X0 ) ) @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl21728,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl21743,plain,
! [X0: $i] : ( subset @ ( union @ sk__3 @ ( difference @ sk__4 @ X0 ) ) @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl21742]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl77049,plain,
! [X0: $i] :
( ( sk__4
= ( union @ sk__3 @ ( difference @ sk__4 @ X0 ) ) )
| ~ ( subset @ sk__4 @ ( union @ sk__3 @ ( difference @ sk__4 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21743,zip_derived_cl13]) ).
thf(zip_derived_cl91979,plain,
( sk__4
= ( union @ sk__3 @ ( difference @ sk__4 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51311,zip_derived_cl77049]) ).
thf(zip_derived_cl21,plain,
( sk__4
!= ( union @ sk__3 @ ( difference @ sk__4 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91990,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl91979,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET595+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ffEKnCcpGN true
% 0.14/0.31 % Computer : n032.cluster.edu
% 0.14/0.31 % Model : x86_64 x86_64
% 0.14/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.31 % Memory : 8042.1875MB
% 0.14/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.31 % CPULimit : 300
% 0.14/0.31 % WCLimit : 300
% 0.14/0.31 % DateTime : Sat Aug 26 12:22:58 EDT 2023
% 0.14/0.32 % CPUTime :
% 0.14/0.32 % Running portfolio for 300 s
% 0.14/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.32 % Number of cores: 8
% 0.14/0.32 % Python version: Python 3.6.8
% 0.14/0.32 % Running in FO mode
% 0.17/0.54 % Total configuration time : 435
% 0.17/0.54 % Estimated wc time : 1092
% 0.17/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.61 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.63 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 182.07/26.55 % Solved by fo/fo1_av.sh.
% 182.07/26.55 % done 9572 iterations in 25.912s
% 182.07/26.55 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 182.07/26.55 % SZS output start Refutation
% See solution above
% 182.07/26.55
% 182.07/26.55
% 182.07/26.55 % Terminating...
% 182.52/26.60 % Runner terminated.
% 182.52/26.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------