TSTP Solution File: SEU290+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU290+1 : 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.eYcDXkg5fb true
% Computer : n028.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 19:11:51 EDT 2023
% Result : Theorem 1.32s 0.93s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 66 ( 18 unt; 22 typ; 0 def)
% Number of atoms : 109 ( 35 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 336 ( 30 ~; 32 |; 8 &; 241 @)
% ( 7 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 71 ( 0 ^; 70 !; 1 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
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(element_type,type,
element: $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
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_of2_type,type,
relation_of2: $i > $i > $i > $o ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(t6_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 ) )
=> ( ( in @ C @ A )
=> ( ( B = empty_set )
| ( in @ ( apply @ D @ C ) @ ( relation_rng @ D ) ) ) ) ) ).
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 ) )
=> ( ( in @ C @ A )
=> ( ( B = empty_set )
| ( in @ ( apply @ D @ C ) @ ( relation_rng @ D ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t6_funct_2]) ).
thf(zip_derived_cl92,plain,
~ ( in @ ( apply @ sk__23 @ sk__22 ) @ ( relation_rng @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
in @ sk__22 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
relation_of2_as_subset @ sk__23 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl82,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(zip_derived_cl407,plain,
relation_of2 @ sk__23 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl82]) ).
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_cl81,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_cl966,plain,
( ( relation_dom_as_subset @ sk__20 @ sk__21 @ sk__23 )
= ( relation_dom @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl81]) ).
thf(zip_derived_cl94,plain,
quasi_total @ sk__23 @ sk__20 @ sk__21,
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,
! [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(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_1]) ).
thf(zip_derived_cl422,plain,
( ~ ( zip_tseitin_1 @ sk__23 @ sk__21 @ sk__20 )
| ( sk__20
= ( relation_dom_as_subset @ sk__20 @ sk__21 @ sk__23 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl10]) ).
thf(zip_derived_cl93_001,plain,
relation_of2_as_subset @ sk__23 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_3,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [B: $i,A: $i] :
( ( ( B = empty_set )
=> ( A = empty_set ) )
=> ( zip_tseitin_0 @ B @ A ) ) ).
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_cl470,plain,
( ( zip_tseitin_1 @ sk__23 @ sk__21 @ sk__20 )
| ~ ( zip_tseitin_0 @ sk__21 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl11]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X0 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl96,plain,
sk__21 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl211,plain,
! [X0: $i,X1: $i] :
( ( sk__21 != X0 )
| ( zip_tseitin_0 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl96]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] : ( zip_tseitin_0 @ sk__21 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl471,plain,
zip_tseitin_1 @ sk__23 @ sk__21 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl245]) ).
thf(zip_derived_cl493,plain,
( sk__20
= ( relation_dom_as_subset @ sk__20 @ sk__21 @ sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl471]) ).
thf(zip_derived_cl967,plain,
( sk__20
= ( relation_dom @ sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl966,zip_derived_cl493]) ).
thf(d5_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( C
= ( apply @ A @ D ) )
& ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ( X2
!= ( apply @ X0 @ X3 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl1194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ sk__20 )
| ~ ( relation @ sk__23 )
| ~ ( function @ sk__23 )
| ( X1
!= ( apply @ sk__23 @ X0 ) )
| ( in @ X1 @ X2 )
| ( X2
!= ( relation_rng @ sk__23 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl967,zip_derived_cl19]) ).
thf(zip_derived_cl93_002,plain,
relation_of2_as_subset @ sk__23 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl29,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_cl593,plain,
element @ sk__23 @ ( powerset @ ( cartesian_product2 @ sk__20 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl29]) ).
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_cl595,plain,
relation @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl3]) ).
thf(zip_derived_cl95,plain,
function @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ sk__20 )
| ( X1
!= ( apply @ sk__23 @ X0 ) )
| ( in @ X1 @ X2 )
| ( X2
!= ( relation_rng @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1194,zip_derived_cl595,zip_derived_cl95]) ).
thf(zip_derived_cl1206,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( relation_rng @ sk__23 ) )
| ( in @ X1 @ X0 )
| ( X1
!= ( apply @ sk__23 @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl1198]) ).
thf(zip_derived_cl1221,plain,
! [X0: $i] :
( ( in @ ( apply @ sk__23 @ sk__22 ) @ X0 )
| ( X0
!= ( relation_rng @ sk__23 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1206]) ).
thf(zip_derived_cl1229,plain,
in @ ( apply @ sk__23 @ sk__22 ) @ ( relation_rng @ sk__23 ),
inference(eq_res,[status(thm)],[zip_derived_cl1221]) ).
thf(zip_derived_cl1234,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl1229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU290+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eYcDXkg5fb true
% 0.16/0.34 % Computer : n028.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Wed Aug 23 13:28:18 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.93 % Solved by fo/fo5.sh.
% 1.32/0.93 % done 327 iterations in 0.149s
% 1.32/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.93 % SZS output start Refutation
% See solution above
% 1.32/0.93
% 1.32/0.93
% 1.32/0.93 % Terminating...
% 1.72/1.03 % Runner terminated.
% 1.83/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------