TSTP Solution File: SET632+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET632+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.aLygqtj39c true
% Computer : n028.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 16:15:11 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 11 unt; 10 typ; 0 def)
% Number of atoms : 94 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 278 ( 39 ~; 38 |; 6 &; 188 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 0 ^; 67 !; 1 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(prove_th114,conjecture,
! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ B @ D )
& ( disjoint @ C @ D ) )
=> ( B = empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ B @ D )
& ( disjoint @ C @ D ) )
=> ( B = empty_set ) ),
inference('cnf.neg',[status(esa)],[prove_th114]) ).
thf(zip_derived_cl16,plain,
disjoint @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(disjoint_defn,axiom,
! [B: $i,C: $i] :
( ( disjoint @ B @ C )
<=> ~ ( intersect @ B @ C ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( intersect @ X0 @ X1 )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
thf(zip_derived_cl89,plain,
~ ( intersect @ sk__4 @ sk__5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl7]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(intersect_defn,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ? [D: $i] :
( ( member @ D @ C )
& ( member @ D @ B ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ X0 )
| ( intersect @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( intersect @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl116]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ( intersect @ X1 @ X1 )
| ( X0 = X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl11]) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ( intersect @ X0 @ X0 )
| ( empty_set = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl160]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl18,plain,
subset @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_defn]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X1 @ X0 )
| ( intersect @ X0 @ X2 )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X1 @ X0 ) @ sk__3 )
| ~ ( intersect @ X0 @ X1 )
| ( intersect @ X1 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl114]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ~ ( intersect @ X0 @ sk__3 )
| ~ ( intersect @ X0 @ sk__3 )
| ( intersect @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl117]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( intersect @ sk__3 @ sk__4 )
| ~ ( intersect @ X0 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl265,plain,
( ( empty_set = sk__3 )
| ( intersect @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl171]) ).
thf(zip_derived_cl19,plain,
sk__3 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl278,plain,
intersect @ sk__3 @ sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl265,zip_derived_cl19]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl17,plain,
subset @ sk__3 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_004,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_cl90,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
thf(zip_derived_cl114_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X1 @ X0 )
| ( intersect @ X0 @ X2 )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X1 @ X0 ) @ sk__3 )
| ~ ( intersect @ X0 @ X1 )
| ( intersect @ X1 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl114]) ).
thf(zip_derived_cl181,plain,
! [X0: $i] :
( ~ ( intersect @ sk__3 @ X0 )
| ~ ( intersect @ sk__3 @ X0 )
| ( intersect @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl118]) ).
thf(zip_derived_cl183,plain,
! [X0: $i] :
( ( intersect @ X0 @ sk__5 )
| ~ ( intersect @ sk__3 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl307,plain,
intersect @ sk__4 @ sk__5,
inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl183]) ).
thf(zip_derived_cl336,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET632+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aLygqtj39c true
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 12:39:22 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79 % Solved by fo/fo6_bce.sh.
% 0.21/0.79 % BCE start: 20
% 0.21/0.79 % BCE eliminated: 0
% 0.21/0.79 % PE start: 20
% 0.21/0.79 logic: eq
% 0.21/0.79 % PE eliminated: 3
% 0.21/0.79 % done 90 iterations in 0.041s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 1.51/0.87 % Runner terminated.
% 1.51/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------