TSTP Solution File: SEU325+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU325+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.jhZYV0RxnN 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 19:12:09 EDT 2023
% Result : Theorem 1.27s 0.78s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of formulae : 74 ( 22 unt; 22 typ; 0 def)
% Number of atoms : 105 ( 24 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 307 ( 41 ~; 26 |; 13 &; 213 @)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 0 ^; 48 !; 3 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(union_type,type,
union: $i > $i ).
thf(v5_membered_type,type,
v5_membered: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(v4_membered_type,type,
v4_membered: $i > $o ).
thf(union_of_subsets_type,type,
union_of_subsets: $i > $i > $i ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(v3_membered_type,type,
v3_membered: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(v2_membered_type,type,
v2_membered: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(v1_membered_type,type,
v1_membered: $i > $o ).
thf(is_a_cover_of_carrier_type,type,
is_a_cover_of_carrier: $i > $i > $o ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] : ( element @ ( sk__4 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(t5_tops_2,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ~ ( ( is_a_cover_of_carrier @ A @ B )
& ( B = empty_set ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ~ ( ( is_a_cover_of_carrier @ A @ B )
& ( B = empty_set ) ) ) ),
inference('cnf.neg',[status(esa)],[t5_tops_2]) ).
thf(zip_derived_cl91,plain,
one_sorted_str @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
is_a_cover_of_carrier @ sk__10 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d8_pre_topc,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( is_a_cover_of_carrier @ A @ B )
<=> ( ( cast_as_carrier_subset @ A )
= ( union_of_subsets @ ( the_carrier @ A ) @ B ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ~ ( is_a_cover_of_carrier @ X1 @ X0 )
| ( ( cast_as_carrier_subset @ X1 )
= ( union_of_subsets @ ( the_carrier @ X1 ) @ X0 ) )
| ~ ( one_sorted_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_pre_topc]) ).
thf(zip_derived_cl291,plain,
( ~ ( one_sorted_str @ sk__10 )
| ( ( cast_as_carrier_subset @ sk__10 )
= ( union_of_subsets @ ( the_carrier @ sk__10 ) @ sk__11 ) )
| ~ ( element @ sk__11 @ ( powerset @ ( powerset @ ( the_carrier @ sk__10 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl93,zip_derived_cl47]) ).
thf(zip_derived_cl364,plain,
( ( sk__10 != sk__10 )
| ~ ( element @ sk__11 @ ( powerset @ ( powerset @ ( the_carrier @ sk__10 ) ) ) )
| ( ( cast_as_carrier_subset @ sk__10 )
= ( union_of_subsets @ ( the_carrier @ sk__10 ) @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl91,zip_derived_cl291]) ).
thf(zip_derived_cl617,plain,
( ( ( cast_as_carrier_subset @ sk__10 )
= ( union_of_subsets @ ( the_carrier @ sk__10 ) @ sk__11 ) )
| ~ ( element @ sk__11 @ ( powerset @ ( powerset @ ( the_carrier @ sk__10 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl364]) ).
thf(zip_derived_cl91_001,plain,
one_sorted_str @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_pre_topc,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ( ( cast_as_carrier_subset @ A )
= ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( ( cast_as_carrier_subset @ X0 )
= ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 ) ),
inference(cnf,[status(esa)],[d3_pre_topc]) ).
thf(zip_derived_cl360,plain,
( ( cast_as_carrier_subset @ sk__10 )
= ( the_carrier @ sk__10 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl91,zip_derived_cl40]) ).
thf(zip_derived_cl92,plain,
sk__11 = empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_002,plain,
sk__11 = empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( empty @ B )
& ( element @ B @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i] : ( element @ ( sk__7 @ X0 ) @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] : ( empty @ ( sk__7 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl410,plain,
! [X0: $i] :
( ( sk__7 @ X0 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl95]) ).
thf(zip_derived_cl434,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl410]) ).
thf(zip_derived_cl618,plain,
( ( the_carrier @ sk__10 )
= ( union_of_subsets @ ( the_carrier @ sk__10 ) @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl617,zip_derived_cl360,zip_derived_cl92,zip_derived_cl92,zip_derived_cl434]) ).
thf(redefinition_k5_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ( union_of_subsets @ A @ B )
= ( union @ B ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ( ( union_of_subsets @ X1 @ X0 )
= ( union @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).
thf(zip_derived_cl620,plain,
( ( ( the_carrier @ sk__10 )
= ( union @ empty_set ) )
| ~ ( element @ empty_set @ ( powerset @ ( powerset @ ( the_carrier @ sk__10 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl618,zip_derived_cl82]) ).
thf(zip_derived_cl434_003,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl410]) ).
thf(zip_derived_cl626,plain,
( ( the_carrier @ sk__10 )
= ( union @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl620,zip_derived_cl434]) ).
thf(d4_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( union @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( in @ D @ A )
& ( in @ C @ D ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__2 @ X0 @ X2 ) @ X2 )
| ( X1
!= ( union @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl396,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X1 @ X0 ) @ X0 )
| ~ ( in @ X1 @ ( union @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl430,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( union @ X0 ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl96]) ).
thf(zip_derived_cl637,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( the_carrier @ sk__10 ) )
| ~ ( empty @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl430]) ).
thf(fc6_membered,axiom,
( ( v5_membered @ empty_set )
& ( v4_membered @ empty_set )
& ( v3_membered @ empty_set )
& ( v2_membered @ empty_set )
& ( v1_membered @ empty_set )
& ( empty @ empty_set ) ) ).
thf(zip_derived_cl67,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc6_membered]) ).
thf(zip_derived_cl638,plain,
! [X0: $i] :
~ ( in @ X0 @ ( the_carrier @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl637,zip_derived_cl67]) ).
thf(zip_derived_cl645,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__10 ) )
| ( empty @ ( the_carrier @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl638]) ).
thf(zip_derived_cl91_004,plain,
one_sorted_str @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ~ ( empty @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ~ ( empty @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl90,plain,
~ ( empty_carrier @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl295,plain,
( ~ ( one_sorted_str @ sk__10 )
| ~ ( empty @ ( the_carrier @ sk__10 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl90]) ).
thf(zip_derived_cl370,plain,
( ( sk__10 != sk__10 )
| ~ ( empty @ ( the_carrier @ sk__10 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl91,zip_derived_cl295]) ).
thf(zip_derived_cl393,plain,
~ ( empty @ ( the_carrier @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl370]) ).
thf(zip_derived_cl671,plain,
! [X0: $i] :
~ ( element @ X0 @ ( the_carrier @ sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl645,zip_derived_cl393]) ).
thf(zip_derived_cl673,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jhZYV0RxnN true
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 16:19:20 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.78 % Solved by fo/fo6_bce.sh.
% 1.27/0.78 % BCE start: 98
% 1.27/0.78 % BCE eliminated: 50
% 1.27/0.78 % PE start: 48
% 1.27/0.78 logic: eq
% 1.27/0.78 % PE eliminated: -18
% 1.27/0.78 % done 112 iterations in 0.059s
% 1.27/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.78 % SZS output start Refutation
% See solution above
% 1.27/0.78
% 1.27/0.78
% 1.27/0.78 % Terminating...
% 1.52/0.85 % Runner terminated.
% 1.52/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------