TSTP Solution File: SEU292+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU292+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.THnLjDhHAa true
% Computer : n007.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 19:11:52 EDT 2023
% Result : Theorem 1.25s 0.82s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 66 ( 16 unt; 23 typ; 0 def)
% Number of atoms : 114 ( 37 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 376 ( 31 ~; 34 |; 10 &; 274 @)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 68 ( 0 ^; 68 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(quasi_total_type,type,
quasi_total: $i > $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(relation_dom_as_subset_type,type,
relation_dom_as_subset: $i > $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(relation_of2_type,type,
relation_of2: $i > $i > $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(t23_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ B ) )
=> ( ( apply @ ( relation_composition @ B @ C ) @ A )
= ( apply @ C @ ( apply @ B @ A ) ) ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ ( relation_composition @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ ( apply @ X1 @ X2 ) ) )
| ~ ( in @ X2 @ ( relation_dom @ X1 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t23_funct_1]) ).
thf(t21_funct_2,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( function @ D )
& ( quasi_total @ D @ A @ B )
& ( relation_of2_as_subset @ D @ A @ B ) )
=> ! [E: $i] :
( ( ( relation @ E )
& ( function @ E ) )
=> ( ( in @ C @ A )
=> ( ( B = empty_set )
| ( ( apply @ ( relation_composition @ D @ E ) @ C )
= ( apply @ E @ ( apply @ D @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( function @ D )
& ( quasi_total @ D @ A @ B )
& ( relation_of2_as_subset @ D @ A @ B ) )
=> ! [E: $i] :
( ( ( relation @ E )
& ( function @ E ) )
=> ( ( in @ C @ A )
=> ( ( B = empty_set )
| ( ( apply @ ( relation_composition @ D @ E ) @ C )
= ( apply @ E @ ( apply @ D @ C ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t21_funct_2]) ).
thf(zip_derived_cl88,plain,
( ( apply @ ( relation_composition @ sk__20 @ sk__21 ) @ sk__19 )
!= ( apply @ sk__21 @ ( apply @ sk__20 @ sk__19 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl659,plain,
( ( ( apply @ sk__21 @ ( apply @ sk__20 @ sk__19 ) )
!= ( apply @ sk__21 @ ( apply @ sk__20 @ sk__19 ) ) )
| ~ ( relation @ sk__20 )
| ~ ( function @ sk__20 )
| ~ ( in @ sk__19 @ ( relation_dom @ sk__20 ) )
| ~ ( function @ sk__21 )
| ~ ( relation @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl88]) ).
thf(dt_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
=> ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X1 @ X2 ) ) )
| ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m2_relset_1]) ).
thf(zip_derived_cl85,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl586,plain,
element @ sk__20 @ ( powerset @ ( cartesian_product2 @ sk__17 @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl85]) ).
thf(cc1_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) )
=> ( relation @ C ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[cc1_relset_1]) ).
thf(zip_derived_cl630,plain,
relation @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl3]) ).
thf(zip_derived_cl83,plain,
function @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
function @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
relation @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl660,plain,
( ( ( apply @ sk__21 @ ( apply @ sk__20 @ sk__19 ) )
!= ( apply @ sk__21 @ ( apply @ sk__20 @ sk__19 ) ) )
| ~ ( in @ sk__19 @ ( relation_dom @ sk__20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl659,zip_derived_cl630,zip_derived_cl83,zip_derived_cl89,zip_derived_cl90]) ).
thf(zip_derived_cl661,plain,
~ ( in @ sk__19 @ ( relation_dom @ sk__20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl660]) ).
thf(zip_derived_cl84,plain,
quasi_total @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_funct_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
=> ( ( ( B = empty_set )
=> ( ( ( quasi_total @ C @ A @ B )
<=> ( C = empty_set ) )
| ( A = empty_set ) ) )
& ( ( ( B = empty_set )
=> ( A = empty_set ) )
=> ( ( quasi_total @ C @ A @ B )
<=> ( A
= ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [B: $i,A: $i] :
( ( ( B = empty_set )
=> ( A = empty_set ) )
=> ( zip_tseitin_0 @ B @ A ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X0 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_1 @ C @ B @ A )
=> ( ( quasi_total @ C @ A @ B )
<=> ( A
= ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
=> ( ( ( zip_tseitin_0 @ B @ A )
=> ( zip_tseitin_1 @ C @ B @ A ) )
& ( ( B = empty_set )
=> ( ( A = empty_set )
| ( ( quasi_total @ C @ A @ B )
<=> ( C = empty_set ) ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X0 @ X1 )
| ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = empty_set )
| ~ ( relation_of2_as_subset @ X2 @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( quasi_total @ X0 @ X1 @ X2 )
| ( X1
= ( relation_dom_as_subset @ X1 @ X2 @ X0 ) )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 )
| ( X0 = empty_set )
| ( X1
= ( relation_dom_as_subset @ X1 @ X0 @ X2 ) )
| ~ ( quasi_total @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl401,zip_derived_cl10]) ).
thf(zip_derived_cl419,plain,
( ( sk__17
= ( relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20 ) )
| ( sk__18 = empty_set )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl405]) ).
thf(zip_derived_cl85_001,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl694,plain,
( ( sk__17
= ( relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20 ) )
| ( sk__18 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl419,zip_derived_cl85]) ).
thf(zip_derived_cl87,plain,
sk__18 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl695,plain,
( sk__17
= ( relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl694,zip_derived_cl87]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
<=> ( relation_of2 @ C @ A @ B ) ) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_of2 @ X0 @ X1 @ X2 )
| ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(redefinition_k4_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2 @ C @ A @ B )
=> ( ( relation_dom_as_subset @ A @ B @ C )
= ( relation_dom @ C ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( relation_dom_as_subset @ X1 @ X2 @ X0 )
= ( relation_dom @ X0 ) )
| ~ ( relation_of2 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_k4_relset_1]) ).
thf(zip_derived_cl410,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation_of2_as_subset @ X2 @ X1 @ X0 )
| ( ( relation_dom_as_subset @ X1 @ X0 @ X2 )
= ( relation_dom @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl78]) ).
thf(zip_derived_cl697,plain,
( ( sk__17
= ( relation_dom @ sk__20 ) )
| ~ ( relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl695,zip_derived_cl410]) ).
thf(zip_derived_cl85_002,plain,
relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl699,plain,
( sk__17
= ( relation_dom @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl697,zip_derived_cl85]) ).
thf(zip_derived_cl86,plain,
in @ sk__19 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl702,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl661,zip_derived_cl699,zip_derived_cl86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU292+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.THnLjDhHAa true
% 0.16/0.35 % Computer : n007.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Wed Aug 23 19:46:24 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.82 % Solved by fo/fo3_bce.sh.
% 1.25/0.82 % BCE start: 100
% 1.25/0.82 % BCE eliminated: 6
% 1.25/0.82 % PE start: 94
% 1.25/0.82 logic: eq
% 1.25/0.82 % PE eliminated: 7
% 1.25/0.82 % done 146 iterations in 0.048s
% 1.25/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.82 % SZS output start Refutation
% See solution above
% 1.25/0.82
% 1.25/0.82
% 1.25/0.82 % Terminating...
% 1.45/0.87 % Runner terminated.
% 1.45/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------