%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET636+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rV4zHqVwlp true
% Computer : n011.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 Oct 2 04:52:32 PM UTC 2025
% Result : Theorem 4.19s 1.21s
% Output : Refutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 53 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 371 ( 49 ~; 47 |; 2 &; 266 @)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 0 ^; 88 !; 1 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $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(intersect_defn,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ? [D: $i] :
( ( member @ D @ C )
& ( member @ D @ B ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(disjoint_defn,axiom,
! [B: $i,C: $i] :
( ( disjoint @ B @ C )
<=> ~ ( intersect @ B @ C ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( intersect @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
thf(prove_th118,conjecture,
! [B: $i,C: $i] :
( ( disjoint @ B @ C )
<=> ( ( intersection @ B @ C )
= empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( disjoint @ B @ C )
<=> ( ( intersection @ B @ C )
= empty_set ) ),
inference('cnf.neg',[status(esa)],[prove_th118]) ).
thf(zip_derived_cl25,plain,
( ( ( intersection @ sk__4 @ sk__5 )
!= empty_set )
| ~ ( disjoint @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl137,plain,
( ( intersect @ sk__4 @ sk__5 )
| ( ( intersection @ sk__4 @ sk__5 )
!= empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl25]) ).
thf(equal_member_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( member @ ( sk__3 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[equal_member_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_cl200,plain,
! [X0: $i] :
( ( member @ ( sk__3 @ empty_set @ X0 ) @ X0 )
| ( X0 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl6]) ).
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_cl175,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ X0 )
| ( intersect @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl215,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( intersect @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl175]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X2 @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl5_002,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_cl173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ( intersect @ X0 @ X2 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) )
| ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) )
| ( intersect @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl173]) ).
thf(zip_derived_cl295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X1 @ X0 )
| ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl349,plain,
! [X0: $i,X1: $i] :
( ( ( intersection @ X1 @ X0 )
= empty_set )
| ( intersect @ ( intersection @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl295]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl5_005,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_cl172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X1 @ X0 )
| ( intersect @ X0 @ X2 )
| ~ ( member @ ( sk_ @ X0 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 )
| ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 )
| ( intersect @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl172]) ).
thf(zip_derived_cl440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X2 @ X0 )
| ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl431]) ).
thf(zip_derived_cl2470,plain,
! [X0: $i,X1: $i] :
( ( ( intersection @ X0 @ X1 )
= empty_set )
| ( intersect @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl349,zip_derived_cl440]) ).
thf(zip_derived_cl24,plain,
( ( ( intersection @ sk__4 @ sk__5 )
= empty_set )
| ( disjoint @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( intersect @ X0 @ X1 )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
thf(zip_derived_cl138,plain,
( ( ( intersection @ sk__4 @ sk__5 )
= empty_set )
| ~ ( intersect @ sk__4 @ sk__5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl7]) ).
thf(zip_derived_cl2621,plain,
( ( ( intersection @ sk__4 @ sk__5 )
= empty_set )
| ( ( intersection @ sk__4 @ sk__5 )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2470,zip_derived_cl138]) ).
thf(zip_derived_cl2622,plain,
( ( intersection @ sk__4 @ sk__5 )
= empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl2621]) ).
thf(zip_derived_cl2623,plain,
( ( intersect @ sk__4 @ sk__5 )
| ( empty_set != empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl2622]) ).
thf(zip_derived_cl2624,plain,
intersect @ sk__4 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl2623]) ).
thf(zip_derived_cl3_006,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl2622_007,plain,
( ( intersection @ sk__4 @ sk__5 )
= empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl2621]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl2626,plain,
! [X0: $i] :
( ( member @ X0 @ empty_set )
| ~ ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2622,zip_derived_cl2]) ).
thf(zip_derived_cl6_008,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl2689,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2626,zip_derived_cl6]) ).
thf(zip_derived_cl2844,plain,
! [X0: $i] :
( ~ ( intersect @ X0 @ sk__5 )
| ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2689]) ).
thf(zip_derived_cl2893,plain,
~ ( member @ ( sk_ @ sk__5 @ sk__4 ) @ sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2624,zip_derived_cl2844]) ).
thf(zip_derived_cl2911,plain,
~ ( intersect @ sk__4 @ sk__5 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2893]) ).
thf(zip_derived_cl2624_009,plain,
intersect @ sk__4 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl2623]) ).
thf(zip_derived_cl2912,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2911,zip_derived_cl2624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET636+3 : TPTP v9.2.0. Released v2.2.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rV4zHqVwlp true
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:01:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.19/1.21 % Solved by fo/fo6_bce.sh.
% 4.19/1.21 % BCE start: 26
% 4.19/1.21 % BCE eliminated: 0
% 4.19/1.21 % PE start: 26
% 4.19/1.21 logic: eq
% 4.19/1.21 % PE eliminated: 3
% 4.19/1.21 % done 411 iterations in 0.479s
% 4.19/1.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.19/1.21 % SZS output start Refutation
% See solution above
% 4.19/1.21
% 4.19/1.21
% 4.19/1.21 % Terminating...
% 4.63/1.25 % Runner terminated.
% 4.63/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------