TSTP Solution File: SEU210+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU210+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.dXohz0a1J9 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 19:11:14 EDT 2023
% Result : Theorem 12.75s 2.47s
% Output : Refutation 12.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 48 ( 13 unt; 13 typ; 0 def)
% Number of atoms : 79 ( 20 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 252 ( 41 ~; 26 |; 7 &; 167 @)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 0 ^; 49 !; 2 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_type,type,
relation: $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__62_type,type,
sk__62: $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i > $i ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__60_type,type,
sk__60: $i > $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__63_type,type,
sk__63: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk__19 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(t174_relat_1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ~ ( ( A != empty_set )
& ( subset @ A @ ( relation_rng @ B ) )
& ( ( relation_inverse_image @ B @ A )
= empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ~ ( ( A != empty_set )
& ( subset @ A @ ( relation_rng @ B ) )
& ( ( relation_inverse_image @ B @ A )
= empty_set ) ) ),
inference('cnf.neg',[status(esa)],[t174_relat_1]) ).
thf(zip_derived_cl269,plain,
subset @ sk__62 @ ( relation_rng @ sk__63 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl91,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_cl2834,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__62 )
| ( in @ X0 @ ( relation_rng @ sk__63 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl91]) ).
thf(t146_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( relation_image @ A @ ( relation_dom @ A ) )
= ( relation_rng @ A ) ) ) ).
thf(zip_derived_cl261,plain,
! [X0: $i] :
( ( ( relation_image @ X0 @ ( relation_dom @ X0 ) )
= ( relation_rng @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t146_relat_1]) ).
thf(t143_relat_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_image @ C @ B ) )
<=> ? [D: $i] :
( ( in @ D @ B )
& ( in @ ( ordered_pair @ D @ A ) @ C )
& ( in @ D @ ( relation_dom @ C ) ) ) ) ) ).
thf(zip_derived_cl257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_image @ X1 @ X2 ) )
| ( in @ ( ordered_pair @ ( sk__60 @ X1 @ X2 @ X0 ) @ X0 ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t143_relat_1]) ).
thf(zip_derived_cl55_001,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk__19 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl268,plain,
( ( relation_inverse_image @ sk__63 @ sk__62 )
= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d14_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_inverse_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ B )
& ( in @ ( ordered_pair @ D @ E ) @ A ) ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
!= ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ X3 @ X2 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ~ ( in @ X4 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d14_relat_1]) ).
thf(zip_derived_cl2178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != empty_set )
| ( in @ X1 @ X0 )
| ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ sk__63 )
| ~ ( in @ X2 @ sk__62 )
| ~ ( relation @ sk__63 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl38]) ).
thf(zip_derived_cl270,plain,
relation @ sk__63,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != empty_set )
| ( in @ X1 @ X0 )
| ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ sk__63 )
| ~ ( in @ X2 @ sk__62 ) ),
inference(demod,[status(thm)],[zip_derived_cl2178,zip_derived_cl270]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl8218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ sk__62 )
| ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ sk__63 )
| ( X0 != empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl2180,zip_derived_cl54]) ).
thf(zip_derived_cl8219,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ sk__63 )
| ~ ( in @ X0 @ sk__62 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8218]) ).
thf(zip_derived_cl8927,plain,
! [X0: $i] :
( ( sk__62 = empty_set )
| ~ ( in @ ( ordered_pair @ X0 @ ( sk__19 @ sk__62 ) ) @ sk__63 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl8219]) ).
thf(zip_derived_cl271,plain,
sk__62 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8950,plain,
! [X0: $i] :
~ ( in @ ( ordered_pair @ X0 @ ( sk__19 @ sk__62 ) ) @ sk__63 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8927,zip_derived_cl271]) ).
thf(zip_derived_cl9874,plain,
! [X0: $i] :
( ~ ( relation @ sk__63 )
| ~ ( in @ ( sk__19 @ sk__62 ) @ ( relation_image @ sk__63 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl8950]) ).
thf(zip_derived_cl270_002,plain,
relation @ sk__63,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9879,plain,
! [X0: $i] :
~ ( in @ ( sk__19 @ sk__62 ) @ ( relation_image @ sk__63 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9874,zip_derived_cl270]) ).
thf(zip_derived_cl9929,plain,
( ~ ( relation @ sk__63 )
| ~ ( in @ ( sk__19 @ sk__62 ) @ ( relation_rng @ sk__63 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl9879]) ).
thf(zip_derived_cl270_003,plain,
relation @ sk__63,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9935,plain,
~ ( in @ ( sk__19 @ sk__62 ) @ ( relation_rng @ sk__63 ) ),
inference(demod,[status(thm)],[zip_derived_cl9929,zip_derived_cl270]) ).
thf(zip_derived_cl9947,plain,
~ ( in @ ( sk__19 @ sk__62 ) @ sk__62 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2834,zip_derived_cl9935]) ).
thf(zip_derived_cl9956,plain,
sk__62 = empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl9947]) ).
thf(zip_derived_cl271_004,plain,
sk__62 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9959,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9956,zip_derived_cl271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : SEU210+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dXohz0a1J9 true
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 23 14:31:20 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.24/0.69 % Total configuration time : 435
% 0.24/0.69 % Estimated wc time : 1092
% 0.24/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.75/2.47 % Solved by fo/fo6_bce.sh.
% 12.75/2.47 % BCE start: 377
% 12.75/2.47 % BCE eliminated: 4
% 12.75/2.47 % PE start: 373
% 12.75/2.47 logic: eq
% 12.75/2.47 % PE eliminated: 0
% 12.75/2.47 % done 1256 iterations in 1.712s
% 12.75/2.47 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.75/2.47 % SZS output start Refutation
% See solution above
% 12.75/2.47
% 12.75/2.47
% 12.75/2.47 % Terminating...
% 12.75/2.50 % Runner terminated.
% 12.75/2.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------