TSTP Solution File: SET159+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET159+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.XhuYad8wpR true
% Computer : n029.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 16:13:05 EDT 2023
% Result : Theorem 271.52s 39.62s
% Output : Refutation 271.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 17 unt; 7 typ; 0 def)
% Number of atoms : 87 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 513 ( 25 ~; 35 |; 1 &; 448 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 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 : 122 ( 0 ^; 122 !; 0 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(prove_associativity_of_union,conjecture,
! [B: $i,C: $i,D: $i] :
( ( union @ ( union @ B @ C ) @ D )
= ( union @ B @ ( union @ C @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( union @ ( union @ B @ C ) @ D )
= ( union @ B @ ( union @ C @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_associativity_of_union]) ).
thf(zip_derived_cl15,plain,
( ( union @ ( union @ sk__2 @ sk__3 ) @ sk__4 )
!= ( union @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_of_union,axiom,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl16,plain,
( ( union @ sk__4 @ ( union @ sk__2 @ sk__3 ) )
!= ( union @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl9,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_cl34,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_cl9,zip_derived_cl0]) ).
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_cl8,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X2 @ ( union @ X3 @ ( union @ X1 @ X0 ) ) )
| ~ ( member @ ( sk_ @ ( union @ X3 @ ( union @ X1 @ X0 ) ) @ X2 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl2]) ).
thf(zip_derived_cl419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ ( sk_ @ ( union @ X3 @ ( union @ X2 @ X0 ) ) @ ( union @ X0 @ X1 ) ) @ X1 )
| ( subset @ ( union @ X0 @ X1 ) @ ( union @ X3 @ ( union @ X2 @ X0 ) ) )
| ( subset @ ( union @ X0 @ X1 ) @ ( union @ X3 @ ( union @ X2 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl75]) ).
thf(zip_derived_cl428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( union @ X0 @ X1 ) @ ( union @ X3 @ ( union @ X2 @ X0 ) ) )
| ( member @ ( sk_ @ ( union @ X3 @ ( union @ X2 @ X0 ) ) @ ( union @ X0 @ X1 ) ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl419]) ).
thf(zip_derived_cl34_002,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_cl9,zip_derived_cl0]) ).
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_cl8_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ ( sk_ @ ( union @ X0 @ X2 ) @ ( union @ X1 @ X0 ) ) @ X1 )
| ( subset @ ( union @ X1 @ X0 ) @ ( union @ X0 @ X2 ) )
| ( subset @ ( union @ X1 @ X0 ) @ ( union @ X0 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl25]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ ( union @ X0 @ X2 ) )
| ( member @ ( sk_ @ ( union @ X0 @ X2 ) @ ( union @ X1 @ X0 ) ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl30_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X2 @ ( union @ X3 @ ( union @ X1 @ X0 ) ) )
| ~ ( member @ ( sk_ @ ( union @ X3 @ ( union @ X1 @ X0 ) ) @ X2 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1]) ).
thf(zip_derived_cl1082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X0 @ X1 ) @ ( union @ X1 @ ( union @ X0 @ X2 ) ) )
| ( subset @ ( union @ X0 @ X1 ) @ ( union @ X1 @ ( union @ X0 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl74]) ).
thf(zip_derived_cl1110,plain,
! [X0: $i,X1: $i,X2: $i] : ( subset @ ( union @ X0 @ X1 ) @ ( union @ X1 @ ( union @ X0 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1082]) ).
thf(zip_derived_cl7,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_cl1247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X3 @ ( union @ X1 @ X2 ) )
| ( member @ X3 @ ( union @ X2 @ ( union @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1110,zip_derived_cl7]) ).
thf(zip_derived_cl8_006,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl4454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ ( sk_ @ ( union @ X2 @ ( union @ X1 @ X0 ) ) @ X3 ) @ ( union @ X1 @ X2 ) )
| ( subset @ X3 @ ( union @ X2 @ ( union @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1247,zip_derived_cl8]) ).
thf(zip_derived_cl30076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X2 @ ( union @ X1 @ X0 ) ) @ ( union @ X0 @ ( union @ X1 @ X2 ) ) )
| ( subset @ ( union @ X2 @ ( union @ X1 @ X0 ) ) @ ( union @ X0 @ ( union @ X1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl4454]) ).
thf(zip_derived_cl30216,plain,
! [X0: $i,X1: $i,X2: $i] : ( subset @ ( union @ X2 @ ( union @ X1 @ X0 ) ) @ ( union @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl30076]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl73039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( union @ X2 @ ( union @ X1 @ X0 ) )
= ( union @ X0 @ ( union @ X1 @ X2 ) ) )
| ~ ( subset @ ( union @ X2 @ ( union @ X1 @ X0 ) ) @ ( union @ X0 @ ( union @ X1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30216,zip_derived_cl5]) ).
thf(zip_derived_cl30216_007,plain,
! [X0: $i,X1: $i,X2: $i] : ( subset @ ( union @ X2 @ ( union @ X1 @ X0 ) ) @ ( union @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl30076]) ).
thf(zip_derived_cl73159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ X2 @ ( union @ X1 @ X0 ) )
= ( union @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73039,zip_derived_cl30216]) ).
thf(zip_derived_cl73501,plain,
( ( union @ sk__3 @ ( union @ sk__2 @ sk__4 ) )
!= ( union @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl73159]) ).
thf(zip_derived_cl6_008,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl73159_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ X2 @ ( union @ X1 @ X0 ) )
= ( union @ X0 @ ( union @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73039,zip_derived_cl30216]) ).
thf(zip_derived_cl76886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( union @ X2 @ ( union @ X1 @ X0 ) )
= ( union @ X1 @ ( union @ X0 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl73159]) ).
thf(zip_derived_cl6_010,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl76955,plain,
( ( union @ sk__2 @ ( union @ sk__3 @ sk__4 ) )
!= ( union @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73501,zip_derived_cl76886,zip_derived_cl6]) ).
thf(zip_derived_cl76956,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl76955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET159+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.XhuYad8wpR true
% 0.17/0.36 % Computer : n029.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Sat Aug 26 15:12:25 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.17/0.37 % Running portfolio for 300 s
% 0.17/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.37 % Number of cores: 8
% 0.17/0.37 % Python version: Python 3.6.8
% 0.17/0.37 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 271.52/39.62 % Solved by fo/fo1_av.sh.
% 271.52/39.62 % done 6589 iterations in 38.848s
% 271.52/39.62 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 271.52/39.62 % SZS output start Refutation
% See solution above
% 271.52/39.62
% 271.52/39.62
% 271.52/39.62 % Terminating...
% 272.23/39.73 % Runner terminated.
% 272.23/39.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------