TSTP Solution File: SEU362+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU362+1 : 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.MZYUUcDapP true
% Computer : n023.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 19:12:24 EDT 2023
% Result : Theorem 1.38s 0.82s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 72 ( 29 unt; 17 typ; 0 def)
% Number of atoms : 126 ( 10 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 403 ( 42 ~; 37 |; 8 &; 290 @)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(subrelstr_type,type,
subrelstr: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(d9_orders_2,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( related @ A @ B @ C )
<=> ( in @ ( ordered_pair @ B @ C ) @ ( the_InternalRel @ A ) ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( the_InternalRel @ X1 ) )
| ( related @ X1 @ X0 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d9_orders_2]) ).
thf(t60_yellow_0,conjecture,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( subrelstr @ B @ A )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ! [E: $i] :
( ( element @ E @ ( the_carrier @ B ) )
=> ! [F: $i] :
( ( element @ F @ ( the_carrier @ B ) )
=> ( ( ( E = C )
& ( F = D )
& ( related @ B @ E @ F ) )
=> ( related @ A @ C @ D ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( subrelstr @ B @ A )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ! [E: $i] :
( ( element @ E @ ( the_carrier @ B ) )
=> ! [F: $i] :
( ( element @ F @ ( the_carrier @ B ) )
=> ( ( ( E = C )
& ( F = D )
& ( related @ B @ E @ F ) )
=> ( related @ A @ C @ D ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t60_yellow_0]) ).
thf(zip_derived_cl52,plain,
~ ( related @ sk__11 @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl265,plain,
( ~ ( rel_str @ sk__11 )
| ~ ( element @ sk__14 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl52]) ).
thf(zip_derived_cl48,plain,
rel_str @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
element @ sk__14 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
element @ sk__13 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl456,plain,
~ ( in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl48,zip_derived_cl56,zip_derived_cl49]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl57,plain,
subrelstr @ sk__12 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d13_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( rel_str @ B )
=> ( ( subrelstr @ B @ A )
<=> ( ( subset @ ( the_carrier @ B ) @ ( the_carrier @ A ) )
& ( subset @ ( the_InternalRel @ B ) @ ( the_InternalRel @ A ) ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_str @ X0 )
| ~ ( subrelstr @ X0 @ X1 )
| ( subset @ ( the_InternalRel @ X0 ) @ ( the_InternalRel @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d13_yellow_0]) ).
thf(zip_derived_cl277,plain,
( ~ ( rel_str @ sk__11 )
| ( subset @ ( the_InternalRel @ sk__12 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( rel_str @ sk__12 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl57,zip_derived_cl5]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl284,plain,
( ~ ( rel_str @ sk__12 )
| ~ ( rel_str @ sk__11 )
| ( element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( the_InternalRel @ sk__11 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl277,zip_derived_cl45]) ).
thf(zip_derived_cl57_001,plain,
subrelstr @ sk__12 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m1_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( subrelstr @ B @ A )
=> ( rel_str @ B ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( subrelstr @ X0 @ X1 )
| ( rel_str @ X0 )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_yellow_0]) ).
thf(zip_derived_cl278,plain,
( ~ ( rel_str @ sk__11 )
| ( rel_str @ sk__12 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl57,zip_derived_cl17]) ).
thf(zip_derived_cl48_002,plain,
rel_str @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl290,plain,
rel_str @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl48]) ).
thf(zip_derived_cl48_003,plain,
rel_str @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl541,plain,
element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( the_InternalRel @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl290,zip_derived_cl48]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl544,plain,
! [X0: $i] :
( ( element @ X0 @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl46]) ).
thf(zip_derived_cl560,plain,
! [X0: $i] :
( ( empty @ ( the_InternalRel @ sk__11 ) )
| ( in @ X0 @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl544]) ).
thf(zip_derived_cl541_004,plain,
element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( the_InternalRel @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl290,zip_derived_cl48]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) )
& ( empty @ C ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X2 )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl545,plain,
! [X0: $i] :
( ~ ( empty @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl47]) ).
thf(zip_derived_cl54,plain,
related @ sk__12 @ sk__15 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( related @ X1 @ X0 @ X2 )
| ( in @ ( ordered_pair @ X0 @ X2 ) @ ( the_InternalRel @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d9_orders_2]) ).
thf(zip_derived_cl266,plain,
( ~ ( rel_str @ sk__12 )
| ~ ( element @ sk__16 @ ( the_carrier @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__15 @ sk__16 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__15 @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl7]) ).
thf(zip_derived_cl290_005,plain,
rel_str @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl48]) ).
thf(zip_derived_cl53,plain,
sk__16 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
element @ sk__16 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_006,plain,
sk__16 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl297,plain,
element @ sk__14 @ ( the_carrier @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl53]) ).
thf(zip_derived_cl51,plain,
sk__15 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_007,plain,
sk__16 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_008,plain,
sk__15 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
element @ sk__15 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_009,plain,
sk__15 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl294,plain,
element @ sk__13 @ ( the_carrier @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl474,plain,
in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl290,zip_derived_cl53,zip_derived_cl297,zip_derived_cl51,zip_derived_cl53,zip_derived_cl51,zip_derived_cl294]) ).
thf(zip_derived_cl555,plain,
~ ( empty @ ( the_InternalRel @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl545,zip_derived_cl474]) ).
thf(zip_derived_cl561,plain,
! [X0: $i] :
( ( in @ X0 @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl560,zip_derived_cl555]) ).
thf(zip_derived_cl474_010,plain,
in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl290,zip_derived_cl53,zip_derived_cl297,zip_derived_cl51,zip_derived_cl53,zip_derived_cl51,zip_derived_cl294]) ).
thf(zip_derived_cl573,plain,
in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl561,zip_derived_cl474]) ).
thf(zip_derived_cl581,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MZYUUcDapP true
% 0.13/0.35 % Computer : n023.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 13:45:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.38/0.82 % Solved by fo/fo3_bce.sh.
% 1.38/0.82 % BCE start: 61
% 1.38/0.82 % BCE eliminated: 3
% 1.38/0.82 % PE start: 58
% 1.38/0.82 logic: eq
% 1.38/0.82 % PE eliminated: 6
% 1.38/0.82 % done 165 iterations in 0.059s
% 1.38/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.82 % SZS output start Refutation
% See solution above
% 1.38/0.82
% 1.38/0.82
% 1.38/0.82 % Terminating...
% 1.48/0.87 % Runner terminated.
% 1.48/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------