TSTP Solution File: SEU174+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU174+2 : 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.asNHhIdoOZ 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 19:11:01 EDT 2023
% Result : Theorem 3.68s 1.23s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 44 ( 13 unt; 11 typ; 0 def)
% Number of atoms : 75 ( 23 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 257 ( 39 ~; 27 |; 4 &; 176 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 45 !; 1 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(complements_of_subsets_type,type,
complements_of_subsets: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__21_type,type,
sk__21: $i > $i ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(t46_setfam_1,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) ) ),
inference('cnf.neg',[status(esa)],[t46_setfam_1]) ).
thf(zip_derived_cl179,plain,
( ( complements_of_subsets @ sk__26 @ sk__27 )
= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(involutiveness_k7_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ( complements_of_subsets @ A @ ( complements_of_subsets @ A @ B ) )
= B ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[involutiveness_k7_setfam_1]) ).
thf(zip_derived_cl1604,plain,
( ( ( complements_of_subsets @ sk__26 @ empty_set )
= sk__27 )
| ~ ( element @ sk__27 @ ( powerset @ ( powerset @ sk__26 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl179,zip_derived_cl97]) ).
thf(zip_derived_cl177,plain,
element @ sk__27 @ ( powerset @ ( powerset @ sk__26 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1605,plain,
( ( complements_of_subsets @ sk__26 @ empty_set )
= sk__27 ),
inference(demod,[status(thm)],[zip_derived_cl1604,zip_derived_cl177]) ).
thf(d8_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( powerset @ A ) ) )
=> ( ( C
= ( complements_of_subsets @ A @ B ) )
<=> ! [D: $i] :
( ( element @ D @ ( powerset @ A ) )
=> ( ( in @ D @ C )
<=> ( in @ ( subset_complement @ A @ D ) @ B ) ) ) ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
| ( X0
!= ( complements_of_subsets @ X1 @ X2 ) )
| ( in @ ( subset_complement @ X1 @ X3 ) @ X2 )
| ~ ( in @ X3 @ X0 )
| ~ ( element @ X3 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[d8_setfam_1]) ).
thf(zip_derived_cl1606,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__26 ) ) )
| ( X0 != sk__27 )
| ( in @ ( subset_complement @ sk__26 @ X1 ) @ empty_set )
| ~ ( in @ X1 @ X0 )
| ~ ( element @ X1 @ ( powerset @ sk__26 ) )
| ~ ( element @ empty_set @ ( powerset @ ( powerset @ sk__26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1605,zip_derived_cl67]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( empty @ B )
& ( element @ B @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl121,plain,
! [X0: $i] : ( element @ ( sk__21 @ X0 ) @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] : ( empty @ ( sk__21 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl970,plain,
! [X0: $i] :
( ( sk__21 @ X0 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl194]) ).
thf(zip_derived_cl1244,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl970]) ).
thf(zip_derived_cl1610,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__26 ) ) )
| ( X0 != sk__27 )
| ( in @ ( subset_complement @ sk__26 @ X1 ) @ empty_set )
| ~ ( in @ X1 @ X0 )
| ~ ( element @ X1 @ ( powerset @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1606,zip_derived_cl1244]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl944,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl3342,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( powerset @ sk__26 ) )
| ~ ( in @ X1 @ X0 )
| ( X0 != sk__27 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__26 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1610,zip_derived_cl944]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl3343,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__26 ) ) )
| ( X0 != sk__27 )
| ~ ( in @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3342,zip_derived_cl183]) ).
thf(zip_derived_cl3344,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__27 )
| ~ ( element @ sk__27 @ ( powerset @ ( powerset @ sk__26 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3343]) ).
thf(zip_derived_cl177_001,plain,
element @ sk__27 @ ( powerset @ ( powerset @ sk__26 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3345,plain,
! [X0: $i] :
~ ( in @ X0 @ sk__27 ),
inference(demod,[status(thm)],[zip_derived_cl3344,zip_derived_cl177]) ).
thf(zip_derived_cl3348,plain,
sk__27 = empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3345]) ).
thf(zip_derived_cl178,plain,
sk__27 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3368,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3348,zip_derived_cl178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU174+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.asNHhIdoOZ true
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 19:58:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.68/1.23 % Solved by fo/fo6_bce.sh.
% 3.68/1.23 % BCE start: 211
% 3.68/1.23 % BCE eliminated: 4
% 3.68/1.23 % PE start: 207
% 3.68/1.23 logic: eq
% 3.68/1.23 % PE eliminated: 0
% 3.68/1.23 % done 562 iterations in 0.449s
% 3.68/1.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.68/1.23 % SZS output start Refutation
% See solution above
% 3.68/1.23
% 3.68/1.23
% 3.68/1.23 % Terminating...
% 4.12/1.28 % Runner terminated.
% 4.12/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------