TSTP Solution File: SET653+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5w6Dmy3kAm 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 16:15:20 EDT 2023
% Result : Theorem 0.22s 0.75s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 16 unt; 10 typ; 0 def)
% Number of atoms : 76 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 271 ( 24 ~; 22 |; 2 &; 201 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(prove_relset_1_15,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ D ) )
=> ( ( subset @ B @ C )
=> ( ilf_type @ E @ ( relation_type @ C @ D ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ D ) )
=> ( ( subset @ B @ C )
=> ( ilf_type @ E @ ( relation_type @ C @ D ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_15]) ).
thf(zip_derived_cl43,plain,
~ ( ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__9 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
subset @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_001,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__9 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( subset @ ( domain_of @ D ) @ B )
& ( subset @ ( range_of @ D ) @ C ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( subset @ ( domain_of @ X1 ) @ X2 )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(p22,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl39,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl39_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( domain_of @ X1 ) @ X2 )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl394,plain,
subset @ ( domain_of @ sk__12 ) @ sk__9,
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl393]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( ( subset @ B @ C )
& ( subset @ C @ D ) )
=> ( subset @ B @ D ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl39_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl39_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl39_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl403,plain,
! [X0: $i] :
( ~ ( subset @ sk__9 @ X0 )
| ( subset @ ( domain_of @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl385]) ).
thf(p3,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ D ) )
=> ( ( subset @ ( domain_of @ E ) @ C )
=> ( ilf_type @ E @ ( relation_type @ C @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X3 ) )
| ( ilf_type @ X1 @ ( relation_type @ X0 @ X3 ) )
| ~ ( subset @ ( domain_of @ X1 ) @ X0 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(zip_derived_cl39_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl39_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl39_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X3 ) )
| ( ilf_type @ X1 @ ( relation_type @ X0 @ X3 ) )
| ~ ( subset @ ( domain_of @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ sk__9 @ X0 )
| ~ ( ilf_type @ sk__12 @ ( relation_type @ X2 @ X1 ) )
| ( ilf_type @ sk__12 @ ( relation_type @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl398]) ).
thf(zip_derived_cl463,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ sk__12 @ ( relation_type @ X1 @ X0 ) )
| ( ilf_type @ sk__12 @ ( relation_type @ sk__10 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl423]) ).
thf(zip_derived_cl469,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl463]) ).
thf(zip_derived_cl472,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5w6Dmy3kAm true
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 14:35:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.75 % Solved by fo/fo6_bce.sh.
% 0.22/0.75 % BCE start: 46
% 0.22/0.75 % BCE eliminated: 0
% 0.22/0.75 % PE start: 46
% 0.22/0.75 logic: eq
% 0.22/0.75 % PE eliminated: 0
% 0.22/0.75 % done 60 iterations in 0.036s
% 0.22/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.75 % SZS output start Refutation
% See solution above
% 0.22/0.75
% 0.22/0.75
% 0.22/0.75 % Terminating...
% 0.22/0.84 % Runner terminated.
% 0.22/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------