TSTP Solution File: SEU010+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU010+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2kcAz9Do2I true
% Computer : n027.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 19:10:12 EDT 2023
% Result : Theorem 1.31s 0.80s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 35 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 54 ( 19 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 182 ( 25 ~; 18 |; 4 &; 128 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(identity_relation_type,type,
identity_relation: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(t79_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( subset @ ( relation_rng @ B ) @ A )
=> ( ( relation_composition @ B @ ( identity_relation @ A ) )
= B ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( relation_rng @ X0 ) @ X1 )
| ( ( relation_composition @ X0 @ ( identity_relation @ X1 ) )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t79_relat_1]) ).
thf(zip_derived_cl268,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( relation_rng @ X1 ) @ ( powerset @ X0 ) )
| ~ ( relation @ X1 )
| ( ( relation_composition @ X1 @ ( identity_relation @ X0 ) )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl55]) ).
thf(zip_derived_cl49_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(t77_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( subset @ ( relation_dom @ B ) @ A )
=> ( ( relation_composition @ ( identity_relation @ A ) @ B )
= B ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( relation_dom @ X0 ) @ X1 )
| ( ( relation_composition @ ( identity_relation @ X1 ) @ X0 )
= X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t77_relat_1]) ).
thf(zip_derived_cl267,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( relation_dom @ X1 ) @ ( powerset @ X0 ) )
| ~ ( relation @ X1 )
| ( ( relation_composition @ ( identity_relation @ X0 ) @ X1 )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl54]) ).
thf(t42_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( ( relation_composition @ ( identity_relation @ ( relation_dom @ A ) ) @ A )
= A )
& ( ( relation_composition @ A @ ( identity_relation @ ( relation_rng @ A ) ) )
= A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( ( relation_composition @ ( identity_relation @ ( relation_dom @ A ) ) @ A )
= A )
& ( ( relation_composition @ A @ ( identity_relation @ ( relation_rng @ A ) ) )
= A ) ) ),
inference('cnf.neg',[status(esa)],[t42_funct_1]) ).
thf(zip_derived_cl53,plain,
( ( ( relation_composition @ ( identity_relation @ ( relation_dom @ sk__9 ) ) @ sk__9 )
!= sk__9 )
| ( ( relation_composition @ sk__9 @ ( identity_relation @ ( relation_rng @ sk__9 ) ) )
!= sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl359,plain,
( ( sk__9 != sk__9 )
| ~ ( relation @ sk__9 )
| ~ ( element @ ( relation_dom @ sk__9 ) @ ( powerset @ ( relation_dom @ sk__9 ) ) )
| ( ( relation_composition @ sk__9 @ ( identity_relation @ ( relation_rng @ sk__9 ) ) )
!= sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl53]) ).
thf(zip_derived_cl51,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl28,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl259,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl50]) ).
thf(zip_derived_cl370,plain,
( ( sk__9 != sk__9 )
| ( ( relation_composition @ sk__9 @ ( identity_relation @ ( relation_rng @ sk__9 ) ) )
!= sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl51,zip_derived_cl259]) ).
thf(zip_derived_cl371,plain,
( ( relation_composition @ sk__9 @ ( identity_relation @ ( relation_rng @ sk__9 ) ) )
!= sk__9 ),
inference(simplify,[status(thm)],[zip_derived_cl370]) ).
thf(zip_derived_cl385,plain,
( ( sk__9 != sk__9 )
| ~ ( relation @ sk__9 )
| ~ ( element @ ( relation_rng @ sk__9 ) @ ( powerset @ ( relation_rng @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl371]) ).
thf(zip_derived_cl51_002,plain,
relation @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl259_003,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl50]) ).
thf(zip_derived_cl396,plain,
sk__9 != sk__9,
inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl51,zip_derived_cl259]) ).
thf(zip_derived_cl397,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU010+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2kcAz9Do2I true
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Wed Aug 23 19:57:02 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.34 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.31/0.80 % Solved by fo/fo3_bce.sh.
% 1.31/0.80 % BCE start: 56
% 1.31/0.80 % BCE eliminated: 2
% 1.31/0.80 % PE start: 54
% 1.31/0.80 logic: eq
% 1.31/0.80 % PE eliminated: 0
% 1.31/0.80 % done 82 iterations in 0.031s
% 1.31/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.80 % SZS output start Refutation
% See solution above
% 1.31/0.80
% 1.31/0.80
% 1.31/0.80 % Terminating...
% 1.56/0.84 % Runner terminated.
% 1.56/0.85 % Zipperpin 1.5 exiting
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