%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU165+3 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c0r1aUBGf4 true
% Computer : n009.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 04:53:41 PM UTC 2025
% Result : Theorem 0.56s 0.80s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 270 ( 15 ~; 17 |; 3 &; 232 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(t106_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl8,plain,
( ~ ( in @ sk__3 @ sk__5 )
| ~ ( in @ sk__2 @ sk__4 )
| ~ ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
( ( in @ sk__3 @ sk__5 )
| ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( unordered_pair @ X0 @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl73,plain,
( ( in @ sk__3 @ sk__5 )
| ( in @ ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl57]) ).
thf(l55_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X0 ) @ ( cartesian_product2 @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl57_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X0 ) ) @ ( cartesian_product2 @ X3 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl57]) ).
thf(zip_derived_cl81,plain,
( ( in @ sk__3 @ sk__5 )
| ( in @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl79]) ).
thf(zip_derived_cl84,plain,
in @ sk__3 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl6,plain,
( ( in @ sk__2 @ sk__4 )
| ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_002,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl59,plain,
( ( in @ sk__2 @ sk__4 )
| ( in @ ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl57]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl57_003,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X2 ) ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl57]) ).
thf(zip_derived_cl65,plain,
( ( in @ sk__2 @ sk__4 )
| ( in @ sk__2 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl63]) ).
thf(zip_derived_cl68,plain,
in @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl57_004,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl87,plain,
~ ( in @ ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl84,zip_derived_cl68,zip_derived_cl57]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl57_005,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl57]) ).
thf(zip_derived_cl93,plain,
( ~ ( in @ sk__2 @ sk__4 )
| ~ ( in @ sk__3 @ sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl88]) ).
thf(zip_derived_cl68_006,plain,
in @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl84_007,plain,
in @ sk__3 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl98,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl68,zip_derived_cl84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU165+3 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c0r1aUBGf4 true
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:13:08 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74 % /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/fo6_bce.sh running for 75s
% 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/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.80 % Solved by fo/fo3_bce.sh.
% 0.56/0.80 % BCE start: 12
% 0.56/0.80 % BCE eliminated: 0
% 0.56/0.80 % PE start: 12
% 0.56/0.80 logic: eq
% 0.56/0.80 % PE eliminated: 1
% 0.56/0.80 % done 22 iterations in 0.015s
% 0.56/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.80 % SZS output start Refutation
% See solution above
% 0.56/0.80
% 0.56/0.80
% 0.56/0.80 % Terminating...
% 1.59/0.87 % Runner terminated.
% 1.62/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------