%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET579+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G1iFvrdBcp true
% Computer : n015.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 04:52:16 PM UTC 2025
% Result : Theorem 3.25s 1.12s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 51 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 112 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 476 ( 31 ~; 49 |; 4 &; 384 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(prove_th20,conjecture,
! [B: $i,C: $i,D: $i] :
( ! [E: $i] :
( ( member @ E @ B )
<=> ( ( member @ E @ C )
& ~ ( member @ E @ D ) ) )
=> ( B
= ( difference @ C @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ! [E: $i] :
( ( member @ E @ B )
<=> ( ( member @ E @ C )
& ~ ( member @ E @ D ) ) )
=> ( B
= ( difference @ C @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_th20]) ).
thf(zip_derived_cl11,plain,
! [X1: $i] :
( ( member @ X1 @ sk__2 )
| ~ ( member @ X1 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,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_cl7,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_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X1 )
| ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( difference @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ ( difference @ sk__2 @ X1 ) @ X0 ) @ sk__1 )
| ( member @ ( sk_ @ ( difference @ sk__2 @ X1 ) @ X0 ) @ X1 )
| ( subset @ X0 @ ( difference @ sk__2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl25]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ( subset @ sk__1 @ ( difference @ sk__2 @ X0 ) )
| ( member @ ( sk_ @ ( difference @ sk__2 @ X0 ) @ sk__1 ) @ X0 )
| ( subset @ sk__1 @ ( difference @ sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl59]) ).
thf(zip_derived_cl221,plain,
! [X0: $i] :
( ( member @ ( sk_ @ ( difference @ sk__2 @ X0 ) @ sk__1 ) @ X0 )
| ( subset @ sk__1 @ ( difference @ sk__2 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl8_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl8_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl25_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X1 )
| ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( difference @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( difference @ X0 @ X1 ) )
| ( member @ ( sk_ @ ( difference @ X0 @ X1 ) @ X0 ) @ X1 )
| ( subset @ X0 @ ( difference @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl25]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ ( difference @ X0 @ X1 ) @ X0 ) @ X1 )
| ( subset @ X0 @ ( difference @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl12,plain,
! [X1: $i] :
( ~ ( member @ X1 @ sk__3 )
| ~ ( member @ X1 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl284,plain,
! [X0: $i] :
( ( subset @ X0 @ ( difference @ X0 @ sk__3 ) )
| ~ ( member @ ( sk_ @ ( difference @ X0 @ sk__3 ) @ X0 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl12]) ).
thf(zip_derived_cl1667,plain,
( ( subset @ sk__1 @ ( difference @ sk__1 @ sk__3 ) )
| ( subset @ sk__1 @ ( difference @ sk__1 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl284]) ).
thf(zip_derived_cl1673,plain,
subset @ sk__1 @ ( difference @ sk__1 @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl1667]) ).
thf(zip_derived_cl8_004,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( difference @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl7_005,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( difference @ X0 @ X1 ) @ X0 )
| ( subset @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl7]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] : ( subset @ ( difference @ X0 @ X1 ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl109]) ).
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_cl649,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( difference @ X0 @ X1 ) )
| ~ ( subset @ X0 @ ( difference @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl5]) ).
thf(zip_derived_cl2074,plain,
( sk__1
= ( difference @ sk__1 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl649]) ).
thf(zip_derived_cl8_006,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ~ ( member @ ( sk_ @ X2 @ ( difference @ X1 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl2082,plain,
! [X0: $i] :
( ( subset @ sk__1 @ X0 )
| ~ ( member @ ( sk_ @ X0 @ sk__1 ) @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2074,zip_derived_cl28]) ).
thf(zip_derived_cl2287,plain,
( ( subset @ sk__1 @ ( difference @ sk__2 @ sk__3 ) )
| ( subset @ sk__1 @ ( difference @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl2082]) ).
thf(zip_derived_cl2294,plain,
subset @ sk__1 @ ( difference @ sk__2 @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl2287]) ).
thf(zip_derived_cl5_007,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl2303,plain,
( ( ( difference @ sk__2 @ sk__3 )
= sk__1 )
| ~ ( subset @ ( difference @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2294,zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( sk__1
!= ( difference @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2305,plain,
~ ( subset @ ( difference @ sk__2 @ sk__3 ) @ sk__1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2303,zip_derived_cl13]) ).
thf(zip_derived_cl27_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( difference @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl28_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ~ ( member @ ( sk_ @ X2 @ ( difference @ X1 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( member @ X0 @ sk__1 )
| ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( difference @ X0 @ sk__3 ) @ X1 )
| ( member @ ( sk_ @ X1 @ ( difference @ X0 @ sk__3 ) ) @ sk__1 )
| ~ ( member @ ( sk_ @ X1 @ ( difference @ X0 @ sk__3 ) ) @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl10]) ).
thf(zip_derived_cl377,plain,
! [X0: $i] :
( ( subset @ ( difference @ sk__2 @ sk__3 ) @ X0 )
| ( subset @ ( difference @ sk__2 @ sk__3 ) @ X0 )
| ( member @ ( sk_ @ X0 @ ( difference @ sk__2 @ sk__3 ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl66]) ).
thf(zip_derived_cl383,plain,
! [X0: $i] :
( ( member @ ( sk_ @ X0 @ ( difference @ sk__2 @ sk__3 ) ) @ sk__1 )
| ( subset @ ( difference @ sk__2 @ sk__3 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl7_010,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl2482,plain,
( ( subset @ ( difference @ sk__2 @ sk__3 ) @ sk__1 )
| ( subset @ ( difference @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl7]) ).
thf(zip_derived_cl2491,plain,
subset @ ( difference @ sk__2 @ sk__3 ) @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl2482]) ).
thf(zip_derived_cl2507,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2305,zip_derived_cl2491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET579+3 : TPTP v9.2.0. Released v2.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G1iFvrdBcp true
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 13:19:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.59/0.66 % Total configuration time : 435
% 0.59/0.66 % Estimated wc time : 1092
% 0.59/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.25/1.12 % Solved by fo/fo1_av.sh.
% 3.25/1.12 % done 473 iterations in 0.339s
% 3.25/1.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.25/1.12 % SZS output start Refutation
% See solution above
% 3.25/1.13
% 3.25/1.13
% 3.25/1.13 % Terminating...
% 3.72/1.18 % Runner terminated.
% 3.72/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------