TSTP Solution File: SEU362+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU362+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.E1nmlVKCTw 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 19:12:25 EDT 2023
% Result : Theorem 38.61s 6.20s
% Output : Refutation 38.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 56 ( 25 unt; 15 typ; 0 def)
% Number of atoms : 96 ( 8 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 304 ( 29 ~; 25 |; 5 &; 220 @)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(sk__211_type,type,
sk__211: $i ).
thf(sk__212_type,type,
sk__212: $i ).
thf(sk__208_type,type,
sk__208: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(subrelstr_type,type,
subrelstr: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__213_type,type,
sk__213: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
thf(sk__210_type,type,
sk__210: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__209_type,type,
sk__209: $i ).
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_cl672,plain,
~ ( related @ sk__208 @ sk__210 @ sk__211 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl124,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(zip_derived_cl6784,plain,
( ~ ( rel_str @ sk__208 )
| ~ ( element @ sk__211 @ ( the_carrier @ sk__208 ) )
| ~ ( in @ ( ordered_pair @ sk__210 @ sk__211 ) @ ( the_InternalRel @ sk__208 ) )
| ~ ( element @ sk__210 @ ( the_carrier @ sk__208 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl672,zip_derived_cl124]) ).
thf(zip_derived_cl668,plain,
rel_str @ sk__208,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl676,plain,
element @ sk__211 @ ( the_carrier @ sk__208 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl669,plain,
element @ sk__210 @ ( the_carrier @ sk__208 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6789,plain,
~ ( in @ ( ordered_pair @ sk__210 @ sk__211 ) @ ( the_InternalRel @ sk__208 ) ),
inference(demod,[status(thm)],[zip_derived_cl6784,zip_derived_cl668,zip_derived_cl676,zip_derived_cl669]) ).
thf(zip_derived_cl677,plain,
subrelstr @ sk__209 @ sk__208,
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_cl14,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_cl4329,plain,
( ~ ( rel_str @ sk__208 )
| ( subset @ ( the_InternalRel @ sk__209 ) @ ( the_InternalRel @ sk__208 ) )
| ~ ( rel_str @ sk__209 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl677,zip_derived_cl14]) ).
thf(zip_derived_cl668_001,plain,
rel_str @ sk__208,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl677_002,plain,
subrelstr @ sk__209 @ sk__208,
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_cl141,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_cl4330,plain,
( ~ ( rel_str @ sk__208 )
| ( rel_str @ sk__209 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl677,zip_derived_cl141]) ).
thf(zip_derived_cl668_003,plain,
rel_str @ sk__208,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5199,plain,
rel_str @ sk__209,
inference(demod,[status(thm)],[zip_derived_cl4330,zip_derived_cl668]) ).
thf(zip_derived_cl14284,plain,
subset @ ( the_InternalRel @ sk__209 ) @ ( the_InternalRel @ sk__208 ),
inference(demod,[status(thm)],[zip_derived_cl4329,zip_derived_cl668,zip_derived_cl5199]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl14294,plain,
! [X0: $i] :
( ( in @ X0 @ ( the_InternalRel @ sk__208 ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__209 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14284,zip_derived_cl49]) ).
thf(zip_derived_cl674,plain,
related @ sk__209 @ sk__212 @ sk__213,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl671,plain,
sk__212 = sk__210,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl673,plain,
sk__213 = sk__211,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5254,plain,
related @ sk__209 @ sk__210 @ sk__211,
inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl671,zip_derived_cl673]) ).
thf(zip_derived_cl123,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_cl6749,plain,
( ~ ( rel_str @ sk__209 )
| ~ ( element @ sk__211 @ ( the_carrier @ sk__209 ) )
| ( in @ ( ordered_pair @ sk__210 @ sk__211 ) @ ( the_InternalRel @ sk__209 ) )
| ~ ( element @ sk__210 @ ( the_carrier @ sk__209 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5254,zip_derived_cl123]) ).
thf(zip_derived_cl5199_004,plain,
rel_str @ sk__209,
inference(demod,[status(thm)],[zip_derived_cl4330,zip_derived_cl668]) ).
thf(zip_derived_cl675,plain,
element @ sk__213 @ ( the_carrier @ sk__209 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl673_005,plain,
sk__213 = sk__211,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5232,plain,
element @ sk__211 @ ( the_carrier @ sk__209 ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl673]) ).
thf(zip_derived_cl670,plain,
element @ sk__212 @ ( the_carrier @ sk__209 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl671_006,plain,
sk__212 = sk__210,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5231,plain,
element @ sk__210 @ ( the_carrier @ sk__209 ),
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl671]) ).
thf(zip_derived_cl6750,plain,
in @ ( ordered_pair @ sk__210 @ sk__211 ) @ ( the_InternalRel @ sk__209 ),
inference(demod,[status(thm)],[zip_derived_cl6749,zip_derived_cl5199,zip_derived_cl5232,zip_derived_cl5231]) ).
thf(zip_derived_cl14309,plain,
in @ ( ordered_pair @ sk__210 @ sk__211 ) @ ( the_InternalRel @ sk__208 ),
inference('sup+',[status(thm)],[zip_derived_cl14294,zip_derived_cl6750]) ).
thf(zip_derived_cl29992,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6789,zip_derived_cl14309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SEU362+2 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E1nmlVKCTw true
% 0.15/0.38 % Computer : n031.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Wed Aug 23 14:20:35 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.39 % Running in FO mode
% 0.24/0.68 % Total configuration time : 435
% 0.24/0.68 % Estimated wc time : 1092
% 0.24/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.92 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 38.61/6.20 % Solved by fo/fo3_bce.sh.
% 38.61/6.20 % BCE start: 678
% 38.61/6.20 % BCE eliminated: 34
% 38.61/6.20 % PE start: 644
% 38.61/6.20 logic: eq
% 38.61/6.20 % PE eliminated: -67
% 38.61/6.20 % done 5643 iterations in 5.379s
% 38.61/6.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 38.61/6.20 % SZS output start Refutation
% See solution above
% 38.61/6.20
% 38.61/6.20
% 38.61/6.20 % Terminating...
% 38.99/6.31 % Runner terminated.
% 38.99/6.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------