TSTP Solution File: SEU271+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU271+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Mnycv9K6A true
% Computer : n025.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 19:11:44 EDT 2023
% Result : Theorem 8.27s 1.84s
% Output : Refutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 28 unt; 10 typ; 0 def)
% Number of atoms : 107 ( 15 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 418 ( 45 ~; 40 |; 5 &; 318 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 0 ^; 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__36_type,type,
sk__36: $i > $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(sk__37_type,type,
sk__37: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(inclusion_relation_type,type,
inclusion_relation: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(l3_wellord1,axiom,
! [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(zip_derived_cl126,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__36 @ X0 ) @ ( sk__37 @ X0 ) ) @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(t5_wellord2,conjecture,
! [A: $i] : ( antisymmetric @ ( inclusion_relation @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] : ( antisymmetric @ ( inclusion_relation @ A ) ),
inference('cnf.neg',[status(esa)],[t5_wellord2]) ).
thf(zip_derived_cl227,plain,
~ ( antisymmetric @ ( inclusion_relation @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl335,plain,
( ~ ( relation @ ( inclusion_relation @ sk__51 ) )
| ( in @ ( ordered_pair @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) ) @ ( inclusion_relation @ sk__51 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl227]) ).
thf(dt_k1_wellord2,axiom,
! [A: $i] : ( relation @ ( inclusion_relation @ A ) ) ).
thf(zip_derived_cl112,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl336,plain,
in @ ( ordered_pair @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) ) @ ( inclusion_relation @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl112]) ).
thf(d1_wellord2,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( B
= ( inclusion_relation @ A ) )
<=> ( ( ( relation_field @ B )
= A )
& ! [C: $i,D: $i] :
( ( ( in @ C @ A )
& ( in @ D @ A ) )
=> ( ( in @ ( ordered_pair @ C @ D ) @ B )
<=> ( subset @ C @ D ) ) ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( subset @ X2 @ X3 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_wellord2]) ).
thf(zip_derived_cl9679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ ( inclusion_relation @ X0 ) )
| ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ ( inclusion_relation @ X0 ) )
| ( subset @ X2 @ X1 )
| ~ ( in @ X1 @ X0 )
| ~ ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl112_001,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl9680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ ( inclusion_relation @ X0 ) )
| ( subset @ X2 @ X1 )
| ~ ( in @ X1 @ X0 )
| ~ ( in @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9679,zip_derived_cl112]) ).
thf(zip_derived_cl9681,plain,
( ~ ( in @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ sk__51 )
| ~ ( in @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ sk__51 )
| ( subset @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl9680]) ).
thf(zip_derived_cl127,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__37 @ X0 ) @ ( sk__36 @ X0 ) ) @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl227_002,plain,
~ ( antisymmetric @ ( inclusion_relation @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl337,plain,
( ~ ( relation @ ( inclusion_relation @ sk__51 ) )
| ( in @ ( ordered_pair @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) ) @ ( inclusion_relation @ sk__51 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl227]) ).
thf(zip_derived_cl112_003,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl338,plain,
in @ ( ordered_pair @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) ) @ ( inclusion_relation @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl112]) ).
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_cl188,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_cl1675,plain,
( ~ ( relation @ ( inclusion_relation @ sk__51 ) )
| ( in @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ ( relation_field @ ( inclusion_relation @ sk__51 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl188]) ).
thf(zip_derived_cl112_004,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ( ( relation_field @ X1 )
= X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_wellord2]) ).
thf(zip_derived_cl343,plain,
! [X0: $i] :
( ~ ( relation @ ( inclusion_relation @ X0 ) )
| ( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl112_005,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl344,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl112]) ).
thf(zip_derived_cl1680,plain,
in @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl1675,zip_derived_cl112,zip_derived_cl344]) ).
thf(zip_derived_cl336_006,plain,
in @ ( ordered_pair @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) ) @ ( inclusion_relation @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl112]) ).
thf(zip_derived_cl188_007,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_cl1674,plain,
( ~ ( relation @ ( inclusion_relation @ sk__51 ) )
| ( in @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( relation_field @ ( inclusion_relation @ sk__51 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl188]) ).
thf(zip_derived_cl112_008,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl344_009,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl112]) ).
thf(zip_derived_cl1679,plain,
in @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl112,zip_derived_cl344]) ).
thf(zip_derived_cl9693,plain,
subset @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl9681,zip_derived_cl1680,zip_derived_cl1679]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl9703,plain,
( ~ ( subset @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) )
| ( ( sk__37 @ ( inclusion_relation @ sk__51 ) )
= ( sk__36 @ ( inclusion_relation @ sk__51 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9693,zip_derived_cl10]) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
( ( ( sk__36 @ X0 )
!= ( sk__37 @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl227_010,plain,
~ ( antisymmetric @ ( inclusion_relation @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl331,plain,
( ~ ( relation @ ( inclusion_relation @ sk__51 ) )
| ( ( sk__36 @ ( inclusion_relation @ sk__51 ) )
!= ( sk__37 @ ( inclusion_relation @ sk__51 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl227]) ).
thf(zip_derived_cl112_011,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl332,plain,
( ( sk__36 @ ( inclusion_relation @ sk__51 ) )
!= ( sk__37 @ ( inclusion_relation @ sk__51 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl112]) ).
thf(zip_derived_cl9741,plain,
~ ( subset @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9703,zip_derived_cl332]) ).
thf(zip_derived_cl338_012,plain,
in @ ( ordered_pair @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) ) @ ( inclusion_relation @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl112]) ).
thf(zip_derived_cl9680_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ ( inclusion_relation @ X0 ) )
| ( subset @ X2 @ X1 )
| ~ ( in @ X1 @ X0 )
| ~ ( in @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9679,zip_derived_cl112]) ).
thf(zip_derived_cl9682,plain,
( ~ ( in @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ sk__51 )
| ~ ( in @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ sk__51 )
| ( subset @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl9680]) ).
thf(zip_derived_cl1679_014,plain,
in @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl112,zip_derived_cl344]) ).
thf(zip_derived_cl1680_015,plain,
in @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ) @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl1675,zip_derived_cl112,zip_derived_cl344]) ).
thf(zip_derived_cl9694,plain,
subset @ ( sk__37 @ ( inclusion_relation @ sk__51 ) ) @ ( sk__36 @ ( inclusion_relation @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl9682,zip_derived_cl1679,zip_derived_cl1680]) ).
thf(zip_derived_cl9829,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9741,zip_derived_cl9694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU271+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Mnycv9K6A true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 13:30:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.27/1.84 % Solved by fo/fo7.sh.
% 8.27/1.84 % done 1485 iterations in 1.058s
% 8.27/1.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.27/1.84 % SZS output start Refutation
% See solution above
% 8.27/1.84
% 8.27/1.84
% 8.27/1.84 % Terminating...
% 9.19/1.96 % Runner terminated.
% 9.19/1.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------