%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU241+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8357os1H4l true
% Computer : n027.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 04:53:58 PM UTC 2025
% Result : Theorem 1.44s 0.77s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 145 ( 17 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 459 ( 56 ~; 72 |; 6 &; 312 @)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_antisymmetric_in_type,type,
is_antisymmetric_in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(d12_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ( is_antisymmetric_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ~ ( antisymmetric @ X0 )
| ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(l3_wellord1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ ( ordered_pair @ B @ C ) @ A )
& ( in @ ( ordered_pair @ C @ B ) @ A ) )
=> ( B = C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ ( ordered_pair @ B @ C ) @ A )
& ( in @ ( ordered_pair @ C @ B ) @ A ) )
=> ( B = C ) ) ) ),
inference('cnf.neg',[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl34,plain,
( ( in @ ( ordered_pair @ sk__5 @ sk__4 ) @ sk__3 )
| ~ ( antisymmetric @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( is_antisymmetric_in @ A @ B )
<=> ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B )
& ( in @ ( ordered_pair @ C @ D ) @ A )
& ( in @ ( ordered_pair @ D @ C ) @ A ) )
=> ( C = D ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) ) @ X1 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__3 )
| ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ sk__3 )
| ( X0 = X1 )
| ( antisymmetric @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl385,plain,
! [X0: $i] :
( ~ ( relation @ sk__3 )
| ( is_antisymmetric_in @ sk__3 @ X0 )
| ~ ( in @ ( ordered_pair @ ( sk__1 @ X0 @ sk__3 ) @ ( sk_ @ X0 @ sk__3 ) ) @ sk__3 )
| ( ( sk_ @ X0 @ sk__3 )
= ( sk__1 @ X0 @ sk__3 ) )
| ( antisymmetric @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl36]) ).
thf(zip_derived_cl32,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
! [X0: $i] :
( ( is_antisymmetric_in @ sk__3 @ X0 )
| ~ ( in @ ( ordered_pair @ ( sk__1 @ X0 @ sk__3 ) @ ( sk_ @ X0 @ sk__3 ) ) @ sk__3 )
| ( ( sk_ @ X0 @ sk__3 )
= ( sk__1 @ X0 @ sk__3 ) )
| ( antisymmetric @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl32]) ).
thf(zip_derived_cl443,plain,
! [X0: $i] :
( ~ ( relation @ sk__3 )
| ( is_antisymmetric_in @ sk__3 @ X0 )
| ( is_antisymmetric_in @ sk__3 @ X0 )
| ( ( sk_ @ X0 @ sk__3 )
= ( sk__1 @ X0 @ sk__3 ) )
| ( antisymmetric @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl390]) ).
thf(zip_derived_cl32_001,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl450,plain,
! [X0: $i] :
( ( is_antisymmetric_in @ sk__3 @ X0 )
| ( is_antisymmetric_in @ sk__3 @ X0 )
| ( ( sk_ @ X0 @ sk__3 )
= ( sk__1 @ X0 @ sk__3 ) )
| ( antisymmetric @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl32]) ).
thf(zip_derived_cl451,plain,
! [X0: $i] :
( ( antisymmetric @ sk__3 )
| ( ( sk_ @ X0 @ sk__3 )
= ( sk__1 @ X0 @ sk__3 ) )
| ( is_antisymmetric_in @ sk__3 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl450]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ X0 @ X1 )
!= ( sk__1 @ X0 @ X1 ) )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl472,plain,
! [X0: $i] :
( ( is_antisymmetric_in @ sk__3 @ X0 )
| ( antisymmetric @ sk__3 )
| ( ( sk_ @ X0 @ sk__3 )
!= ( sk_ @ X0 @ sk__3 ) )
| ( is_antisymmetric_in @ sk__3 @ X0 )
| ~ ( relation @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl9]) ).
thf(zip_derived_cl32_002,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl476,plain,
! [X0: $i] :
( ( is_antisymmetric_in @ sk__3 @ X0 )
| ( antisymmetric @ sk__3 )
| ( ( sk_ @ X0 @ sk__3 )
!= ( sk_ @ X0 @ sk__3 ) )
| ( is_antisymmetric_in @ sk__3 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl472,zip_derived_cl32]) ).
thf(zip_derived_cl477,plain,
! [X0: $i] :
( ( antisymmetric @ sk__3 )
| ( is_antisymmetric_in @ sk__3 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl476]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(zip_derived_cl486,plain,
( ( antisymmetric @ sk__3 )
| ( antisymmetric @ sk__3 )
| ~ ( relation @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl7]) ).
thf(zip_derived_cl32_003,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl487,plain,
( ( antisymmetric @ sk__3 )
| ( antisymmetric @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl486,zip_derived_cl32]) ).
thf(zip_derived_cl488,plain,
antisymmetric @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl490,plain,
in @ ( ordered_pair @ sk__5 @ sk__4 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl488]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_antisymmetric_in @ X0 @ X1 )
| ~ ( in @ X2 @ X1 )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ( X2 = X3 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl494,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ sk__3 @ X0 )
| ~ ( in @ sk__5 @ X0 )
| ~ ( in @ sk__4 @ X0 )
| ~ ( in @ ( ordered_pair @ sk__4 @ sk__5 ) @ sk__3 )
| ( sk__5 = sk__4 )
| ~ ( relation @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl14]) ).
thf(zip_derived_cl32_004,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl499,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ sk__3 @ X0 )
| ~ ( in @ sk__5 @ X0 )
| ~ ( in @ sk__4 @ X0 )
| ~ ( in @ ( ordered_pair @ sk__4 @ sk__5 ) @ sk__3 )
| ( sk__5 = sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl494,zip_derived_cl32]) ).
thf(zip_derived_cl33,plain,
( ( sk__4 != sk__5 )
| ~ ( antisymmetric @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl488_005,plain,
antisymmetric @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl489,plain,
sk__4 != sk__5,
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl488]) ).
thf(zip_derived_cl500,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ sk__3 @ X0 )
| ~ ( in @ sk__5 @ X0 )
| ~ ( in @ sk__4 @ X0 )
| ~ ( in @ ( ordered_pair @ sk__4 @ sk__5 ) @ sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl499,zip_derived_cl489]) ).
thf(zip_derived_cl35,plain,
( ( in @ ( ordered_pair @ sk__4 @ sk__5 ) @ sk__3 )
| ~ ( antisymmetric @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl488_006,plain,
antisymmetric @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl491,plain,
in @ ( ordered_pair @ sk__4 @ sk__5 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl488]) ).
thf(zip_derived_cl547,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ sk__3 @ X0 )
| ~ ( in @ sk__5 @ X0 )
| ~ ( in @ sk__4 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl491]) ).
thf(zip_derived_cl550,plain,
( ~ ( relation @ sk__3 )
| ~ ( antisymmetric @ sk__3 )
| ~ ( in @ sk__5 @ ( relation_field @ sk__3 ) )
| ~ ( in @ sk__4 @ ( relation_field @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl547]) ).
thf(zip_derived_cl32_007,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl488_008,plain,
antisymmetric @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl490_009,plain,
in @ ( ordered_pair @ sk__5 @ sk__4 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl488]) ).
thf(t30_relat_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
=> ( ( in @ A @ ( relation_field @ C ) )
& ( in @ B @ ( relation_field @ C ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( in @ X0 @ ( relation_field @ X2 ) )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t30_relat_1]) ).
thf(zip_derived_cl496,plain,
( ( in @ sk__5 @ ( relation_field @ sk__3 ) )
| ~ ( relation @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl51]) ).
thf(zip_derived_cl32_010,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl502,plain,
in @ sk__5 @ ( relation_field @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl496,zip_derived_cl32]) ).
thf(zip_derived_cl490_011,plain,
in @ ( ordered_pair @ sk__5 @ sk__4 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl488]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( in @ X1 @ ( relation_field @ X2 ) )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t30_relat_1]) ).
thf(zip_derived_cl495,plain,
( ( in @ sk__4 @ ( relation_field @ sk__3 ) )
| ~ ( relation @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl50]) ).
thf(zip_derived_cl32_012,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl501,plain,
in @ sk__4 @ ( relation_field @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl32]) ).
thf(zip_derived_cl553,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl550,zip_derived_cl32,zip_derived_cl488,zip_derived_cl502,zip_derived_cl501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU241+1 : TPTP v9.2.0. Released v3.3.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8357os1H4l true
% 0.08/0.29 % Computer : n027.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Wed Oct 1 16:05:38 EDT 2025
% 0.08/0.30 % CPUTime :
% 0.08/0.30 % Running portfolio for 300 s
% 0.08/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.30 % Number of cores: 8
% 0.08/0.30 % Python version: Python 3.6.8
% 0.08/0.30 % Running in FO mode
% 0.14/0.56 % Total configuration time : 435
% 0.14/0.56 % Estimated wc time : 1092
% 0.14/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.63 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.66 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.66 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.44/0.77 % Solved by fo/fo6_bce.sh.
% 1.44/0.77 % BCE start: 55
% 1.44/0.77 % BCE eliminated: 2
% 1.44/0.77 % PE start: 53
% 1.44/0.77 logic: eq
% 1.44/0.77 % PE eliminated: 2
% 1.44/0.77 % done 129 iterations in 0.108s
% 1.44/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.44/0.77 % SZS output start Refutation
% See solution above
% 1.44/0.77
% 1.44/0.77
% 1.44/0.77 % Terminating...
% 1.44/0.87 % Runner terminated.
% 1.86/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------