TSTP Solution File: SEU180+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU180+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.n3MXue4BKp true
% Computer : n031.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 19:11:03 EDT 2023
% Result : Theorem 1.30s 1.33s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 86 ( 20 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 270 ( 37 ~; 29 |; 2 &; 187 @)
% ( 6 <=>; 7 =>; 2 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 47 !; 2 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__39_type,type,
sk__39: $i ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__40_type,type,
sk__40: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__38_type,type,
sk__38: $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(t30_relat_1,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
=> ( ( in @ A @ ( relation_field @ C ) )
& ( in @ B @ ( relation_field @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t30_relat_1]) ).
thf(zip_derived_cl195,plain,
( ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) )
| ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257,plain,
( ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) )
<= ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(d6_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( relation_field @ A )
= ( set_union2 @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( ( relation_field @ X0 )
= ( set_union2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d6_relat_1]) ).
thf(zip_derived_cl196,plain,
in @ ( ordered_pair @ sk__38 @ sk__39 ) @ sk__40,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl1678,plain,
! [X0: $i] :
( ( X0
!= ( relation_dom @ sk__40 ) )
| ( in @ sk__38 @ X0 )
| ~ ( relation @ sk__40 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl65]) ).
thf(zip_derived_cl194,plain,
relation @ sk__40,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1680,plain,
! [X0: $i] :
( ( X0
!= ( relation_dom @ sk__40 ) )
| ( in @ sk__38 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl194]) ).
thf(zip_derived_cl1681,plain,
in @ sk__38 @ ( relation_dom @ sk__40 ),
inference(eq_res,[status(thm)],[zip_derived_cl1680]) ).
thf(d2_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( set_union2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl1724,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__38 @ X0 )
| ( X0
!= ( set_union2 @ ( relation_dom @ sk__40 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl40]) ).
thf(zip_derived_cl2444,plain,
! [X0: $i] :
( ~ ( relation @ sk__40 )
| ( in @ sk__38 @ X0 )
| ( X0
!= ( relation_field @ sk__40 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl1724]) ).
thf(zip_derived_cl194_001,plain,
relation @ sk__40,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2445,plain,
! [X0: $i] :
( ( in @ sk__38 @ X0 )
| ( X0
!= ( relation_field @ sk__40 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2444,zip_derived_cl194]) ).
thf(zip_derived_cl2450,plain,
in @ sk__38 @ ( relation_field @ sk__40 ),
inference(eq_res,[status(thm)],[zip_derived_cl2445]) ).
thf(zip_derived_cl258,plain,
( ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) )
<= ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('0',plain,
in @ sk__38 @ ( relation_field @ sk__40 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2450,zip_derived_cl258]) ).
thf('1',plain,
( ~ ( in @ sk__39 @ ( relation_field @ sk__40 ) )
| ~ ( in @ sk__38 @ ( relation_field @ sk__40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('2',plain,
~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl2482,plain,
~ ( in @ sk__39 @ ( relation_field @ sk__40 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl257,'2']) ).
thf(zip_derived_cl85_002,plain,
! [X0: $i] :
( ( ( relation_field @ X0 )
= ( set_union2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d6_relat_1]) ).
thf(zip_derived_cl196_003,plain,
in @ ( ordered_pair @ sk__38 @ sk__39 ) @ sk__40,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl2342,plain,
! [X0: $i] :
( ( X0
!= ( relation_rng @ sk__40 ) )
| ( in @ sk__39 @ X0 )
| ~ ( relation @ sk__40 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl82]) ).
thf(zip_derived_cl194_004,plain,
relation @ sk__40,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2345,plain,
! [X0: $i] :
( ( X0
!= ( relation_rng @ sk__40 ) )
| ( in @ sk__39 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2342,zip_derived_cl194]) ).
thf(zip_derived_cl2358,plain,
in @ sk__39 @ ( relation_rng @ sk__40 ),
inference(eq_res,[status(thm)],[zip_derived_cl2345]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( set_union2 @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl2365,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__39 @ X0 )
| ( X0
!= ( set_union2 @ X1 @ ( relation_rng @ sk__40 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2358,zip_derived_cl39]) ).
thf(zip_derived_cl3135,plain,
! [X0: $i] :
( ~ ( relation @ sk__40 )
| ( in @ sk__39 @ X0 )
| ( X0
!= ( relation_field @ sk__40 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl2365]) ).
thf(zip_derived_cl194_005,plain,
relation @ sk__40,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3137,plain,
! [X0: $i] :
( ( in @ sk__39 @ X0 )
| ( X0
!= ( relation_field @ sk__40 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3135,zip_derived_cl194]) ).
thf(zip_derived_cl3138,plain,
in @ sk__39 @ ( relation_field @ sk__40 ),
inference(eq_res,[status(thm)],[zip_derived_cl3137]) ).
thf(zip_derived_cl3139,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2482,zip_derived_cl3138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU180+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n3MXue4BKp true
% 0.13/0.36 % Computer : n031.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Aug 23 17:19:20 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.33 % Solved by fo/fo1_av.sh.
% 1.30/1.33 % done 1058 iterations in 0.551s
% 1.30/1.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/1.33 % SZS output start Refutation
% See solution above
% 1.30/1.33
% 1.30/1.33
% 1.30/1.33 % Terminating...
% 1.30/1.38 % Runner terminated.
% 1.30/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------