TSTP Solution File: SEU241+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU241+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bE29PmaBfv true
% Computer : n029.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 19:11:33 EDT 2023
% Result : Theorem 21.27s 3.68s
% Output : Refutation 21.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 21 unt; 11 typ; 0 def)
% Number of atoms : 141 ( 17 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 439 ( 52 ~; 67 |; 6 &; 301 @)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_antisymmetric_in_type,type,
is_antisymmetric_in: $i > $i > $o ).
thf(sk__46_type,type,
sk__46: $i > $i > $i ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__75_type,type,
sk__75: $i ).
thf(sk__76_type,type,
sk__76: $i ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__47_type,type,
sk__47: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__77_type,type,
sk__77: $i ).
thf(d12_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ( is_antisymmetric_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl47,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_cl342,plain,
( ( in @ ( ordered_pair @ sk__77 @ sk__76 ) @ sk__75 )
| ~ ( antisymmetric @ sk__75 ) ),
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_cl163,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__46 @ X0 @ X1 ) @ ( sk__47 @ X0 @ X1 ) ) @ X1 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl162,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__47 @ X0 @ X1 ) @ ( sk__46 @ X0 @ X1 ) ) @ X1 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__75 )
| ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ sk__75 )
| ( X0 = X1 )
| ( antisymmetric @ sk__75 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10857,plain,
! [X0: $i] :
( ~ ( relation @ sk__75 )
| ( is_antisymmetric_in @ sk__75 @ X0 )
| ( antisymmetric @ sk__75 )
| ( ( sk__47 @ X0 @ sk__75 )
= ( sk__46 @ X0 @ sk__75 ) )
| ~ ( in @ ( ordered_pair @ ( sk__46 @ X0 @ sk__75 ) @ ( sk__47 @ X0 @ sk__75 ) ) @ sk__75 ) ),
inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl344]) ).
thf(zip_derived_cl340,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10892,plain,
! [X0: $i] :
( ( is_antisymmetric_in @ sk__75 @ X0 )
| ( antisymmetric @ sk__75 )
| ( ( sk__47 @ X0 @ sk__75 )
= ( sk__46 @ X0 @ sk__75 ) )
| ~ ( in @ ( ordered_pair @ ( sk__46 @ X0 @ sk__75 ) @ ( sk__47 @ X0 @ sk__75 ) ) @ sk__75 ) ),
inference(demod,[status(thm)],[zip_derived_cl10857,zip_derived_cl340]) ).
thf(zip_derived_cl12274,plain,
! [X0: $i] :
( ~ ( relation @ sk__75 )
| ( is_antisymmetric_in @ sk__75 @ X0 )
| ( ( sk__47 @ X0 @ sk__75 )
= ( sk__46 @ X0 @ sk__75 ) )
| ( antisymmetric @ sk__75 )
| ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl10892]) ).
thf(zip_derived_cl340_001,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12287,plain,
! [X0: $i] :
( ( is_antisymmetric_in @ sk__75 @ X0 )
| ( ( sk__47 @ X0 @ sk__75 )
= ( sk__46 @ X0 @ sk__75 ) )
| ( antisymmetric @ sk__75 )
| ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12274,zip_derived_cl340]) ).
thf(zip_derived_cl12288,plain,
! [X0: $i] :
( ( antisymmetric @ sk__75 )
| ( ( sk__47 @ X0 @ sk__75 )
= ( sk__46 @ X0 @ sk__75 ) )
| ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12287]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i] :
( ( ( sk__46 @ X0 @ X1 )
!= ( sk__47 @ X0 @ X1 ) )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl12295,plain,
! [X0: $i] :
( ( ( sk__46 @ X0 @ sk__75 )
!= ( sk__46 @ X0 @ sk__75 ) )
| ( is_antisymmetric_in @ sk__75 @ X0 )
| ( antisymmetric @ sk__75 )
| ~ ( relation @ sk__75 )
| ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12288,zip_derived_cl161]) ).
thf(zip_derived_cl340_002,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12303,plain,
! [X0: $i] :
( ( ( sk__46 @ X0 @ sk__75 )
!= ( sk__46 @ X0 @ sk__75 ) )
| ( is_antisymmetric_in @ sk__75 @ X0 )
| ( antisymmetric @ sk__75 )
| ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12295,zip_derived_cl340]) ).
thf(zip_derived_cl12304,plain,
! [X0: $i] :
( ( antisymmetric @ sk__75 )
| ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12303]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(zip_derived_cl12311,plain,
( ( antisymmetric @ sk__75 )
| ~ ( relation @ sk__75 )
| ( antisymmetric @ sk__75 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12304,zip_derived_cl46]) ).
thf(zip_derived_cl340_003,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12314,plain,
( ( antisymmetric @ sk__75 )
| ( antisymmetric @ sk__75 ) ),
inference(demod,[status(thm)],[zip_derived_cl12311,zip_derived_cl340]) ).
thf(zip_derived_cl12315,plain,
antisymmetric @ sk__75,
inference(simplify,[status(thm)],[zip_derived_cl12314]) ).
thf(zip_derived_cl12317,plain,
in @ ( ordered_pair @ sk__77 @ sk__76 ) @ sk__75,
inference(demod,[status(thm)],[zip_derived_cl342,zip_derived_cl12315]) ).
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_cl469,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_cl12523,plain,
( ~ ( relation @ sk__75 )
| ( in @ sk__77 @ ( relation_field @ sk__75 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12317,zip_derived_cl469]) ).
thf(zip_derived_cl340_004,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12561,plain,
in @ sk__77 @ ( relation_field @ sk__75 ),
inference(demod,[status(thm)],[zip_derived_cl12523,zip_derived_cl340]) ).
thf(zip_derived_cl343,plain,
( ( in @ ( ordered_pair @ sk__76 @ sk__77 ) @ sk__75 )
| ~ ( antisymmetric @ sk__75 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12315_005,plain,
antisymmetric @ sk__75,
inference(simplify,[status(thm)],[zip_derived_cl12314]) ).
thf(zip_derived_cl12318,plain,
in @ ( ordered_pair @ sk__76 @ sk__77 ) @ sk__75,
inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl12315]) ).
thf(zip_derived_cl166,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_cl15485,plain,
! [X0: $i] :
( ~ ( relation @ sk__75 )
| ( sk__76 = sk__77 )
| ~ ( in @ ( ordered_pair @ sk__77 @ sk__76 ) @ sk__75 )
| ~ ( in @ sk__77 @ X0 )
| ~ ( in @ sk__76 @ X0 )
| ~ ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12318,zip_derived_cl166]) ).
thf(zip_derived_cl340_006,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12317_007,plain,
in @ ( ordered_pair @ sk__77 @ sk__76 ) @ sk__75,
inference(demod,[status(thm)],[zip_derived_cl342,zip_derived_cl12315]) ).
thf(zip_derived_cl15524,plain,
! [X0: $i] :
( ( sk__76 = sk__77 )
| ~ ( in @ sk__77 @ X0 )
| ~ ( in @ sk__76 @ X0 )
| ~ ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15485,zip_derived_cl340,zip_derived_cl12317]) ).
thf(zip_derived_cl341,plain,
( ( sk__76 != sk__77 )
| ~ ( antisymmetric @ sk__75 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12315_008,plain,
antisymmetric @ sk__75,
inference(simplify,[status(thm)],[zip_derived_cl12314]) ).
thf(zip_derived_cl12316,plain,
sk__76 != sk__77,
inference(demod,[status(thm)],[zip_derived_cl341,zip_derived_cl12315]) ).
thf(zip_derived_cl15525,plain,
! [X0: $i] :
( ~ ( in @ sk__77 @ X0 )
| ~ ( in @ sk__76 @ X0 )
| ~ ( is_antisymmetric_in @ sk__75 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15524,zip_derived_cl12316]) ).
thf(zip_derived_cl16745,plain,
( ~ ( is_antisymmetric_in @ sk__75 @ ( relation_field @ sk__75 ) )
| ~ ( in @ sk__76 @ ( relation_field @ sk__75 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12561,zip_derived_cl15525]) ).
thf(zip_derived_cl12317_009,plain,
in @ ( ordered_pair @ sk__77 @ sk__76 ) @ sk__75,
inference(demod,[status(thm)],[zip_derived_cl342,zip_derived_cl12315]) ).
thf(zip_derived_cl468,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_cl12522,plain,
( ~ ( relation @ sk__75 )
| ( in @ sk__76 @ ( relation_field @ sk__75 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12317,zip_derived_cl468]) ).
thf(zip_derived_cl340_010,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12560,plain,
in @ sk__76 @ ( relation_field @ sk__75 ),
inference(demod,[status(thm)],[zip_derived_cl12522,zip_derived_cl340]) ).
thf(zip_derived_cl16750,plain,
~ ( is_antisymmetric_in @ sk__75 @ ( relation_field @ sk__75 ) ),
inference(demod,[status(thm)],[zip_derived_cl16745,zip_derived_cl12560]) ).
thf(zip_derived_cl16762,plain,
( ~ ( relation @ sk__75 )
| ~ ( antisymmetric @ sk__75 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl16750]) ).
thf(zip_derived_cl340_011,plain,
relation @ sk__75,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12315_012,plain,
antisymmetric @ sk__75,
inference(simplify,[status(thm)],[zip_derived_cl12314]) ).
thf(zip_derived_cl16769,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16762,zip_derived_cl340,zip_derived_cl12315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU241+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bE29PmaBfv true
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 16:36:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 21.27/3.68 % Solved by fo/fo5.sh.
% 21.27/3.68 % done 1820 iterations in 2.878s
% 21.27/3.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.27/3.68 % SZS output start Refutation
% See solution above
% 21.27/3.69
% 21.27/3.69
% 21.27/3.69 % Terminating...
% 21.79/3.77 % Runner terminated.
% 21.79/3.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------