TSTP Solution File: SEU171+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU171+2 : 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.T142uBdkif true
% Computer : n015.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 19:10:59 EDT 2023
% Result : Theorem 79.68s 12.17s
% Output : Refutation 79.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 18 unt; 10 typ; 0 def)
% Number of atoms : 80 ( 21 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 268 ( 25 ~; 20 |; 2 &; 203 @)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(set_difference_type,type,
set_difference: $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(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i ).
thf(t50_subset_1,conjecture,
! [A: $i] :
( ( A != empty_set )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( in @ C @ ( subset_complement @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( A != empty_set )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( in @ C @ ( subset_complement @ A @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t50_subset_1]) ).
thf(zip_derived_cl172,plain,
~ ( in @ sk__27 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl173,plain,
element @ sk__26 @ ( powerset @ sk__25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( subset_complement @ A @ B )
= ( set_difference @ A @ B ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ( ( subset_complement @ X0 @ X1 )
= ( set_difference @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_subset_1]) ).
thf(zip_derived_cl1370,plain,
( ( subset_complement @ sk__25 @ sk__26 )
= ( set_difference @ sk__25 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl63]) ).
thf(dt_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( element @ ( subset_complement @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k3_subset_1]) ).
thf(zip_derived_cl1445,plain,
( ( element @ ( set_difference @ sk__25 @ sk__26 ) @ ( powerset @ sk__25 ) )
| ~ ( element @ sk__26 @ ( powerset @ sk__25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1370,zip_derived_cl76]) ).
thf(zip_derived_cl173_001,plain,
element @ sk__26 @ ( powerset @ sk__25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1448,plain,
element @ ( set_difference @ sk__25 @ sk__26 ) @ ( powerset @ sk__25 ),
inference(demod,[status(thm)],[zip_derived_cl1445,zip_derived_cl173]) ).
thf(zip_derived_cl63_002,plain,
! [X0: $i,X1: $i] :
( ( ( subset_complement @ X0 @ X1 )
= ( set_difference @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_subset_1]) ).
thf(zip_derived_cl1951,plain,
( ( subset_complement @ sk__25 @ ( set_difference @ sk__25 @ sk__26 ) )
= ( set_difference @ sk__25 @ ( set_difference @ sk__25 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1448,zip_derived_cl63]) ).
thf(zip_derived_cl1370_003,plain,
( ( subset_complement @ sk__25 @ sk__26 )
= ( set_difference @ sk__25 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl63]) ).
thf(involutiveness_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( subset_complement @ A @ ( subset_complement @ A @ B ) )
= B ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ( ( subset_complement @ X1 @ ( subset_complement @ X1 @ X0 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).
thf(zip_derived_cl1458,plain,
( ( ( subset_complement @ sk__25 @ ( set_difference @ sk__25 @ sk__26 ) )
= sk__26 )
| ~ ( element @ sk__26 @ ( powerset @ sk__25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1370,zip_derived_cl90]) ).
thf(zip_derived_cl173_004,plain,
element @ sk__26 @ ( powerset @ sk__25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1462,plain,
( ( subset_complement @ sk__25 @ ( set_difference @ sk__25 @ sk__26 ) )
= sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl173]) ).
thf(zip_derived_cl1956,plain,
( sk__26
= ( set_difference @ sk__25 @ ( set_difference @ sk__25 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1951,zip_derived_cl1462]) ).
thf(d4_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_difference @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ~ ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl3036,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__25 )
| ( in @ X1 @ ( set_difference @ sk__25 @ sk__26 ) )
| ( in @ X1 @ X0 )
| ( X0 != sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1956,zip_derived_cl57]) ).
thf(zip_derived_cl5469,plain,
! [X0: $i] :
( ( in @ X0 @ sk__26 )
| ( in @ X0 @ ( set_difference @ sk__25 @ sk__26 ) )
| ~ ( in @ X0 @ sk__25 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3036]) ).
thf(zip_derived_cl171,plain,
~ ( in @ sk__27 @ ( subset_complement @ sk__25 @ sk__26 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1370_005,plain,
( ( subset_complement @ sk__25 @ sk__26 )
= ( set_difference @ sk__25 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl63]) ).
thf(zip_derived_cl1414,plain,
~ ( in @ sk__27 @ ( set_difference @ sk__25 @ sk__26 ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl1370]) ).
thf(zip_derived_cl47356,plain,
( ~ ( in @ sk__27 @ sk__25 )
| ( in @ sk__27 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5469,zip_derived_cl1414]) ).
thf(zip_derived_cl170,plain,
element @ sk__27 @ sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_subset_1,axiom,
! [A: $i,B: $i] :
( ( ( empty @ A )
=> ( ( element @ B @ A )
<=> ( empty @ B ) ) )
& ( ~ ( empty @ A )
=> ( ( element @ B @ A )
<=> ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl906,plain,
( ( in @ sk__27 @ sk__25 )
| ( empty @ sk__25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl19]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl179,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl917,plain,
( ( in @ sk__27 @ sk__25 )
| ( sk__25 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl906,zip_derived_cl179]) ).
thf(zip_derived_cl169,plain,
sk__25 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl918,plain,
in @ sk__27 @ sk__25,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl917,zip_derived_cl169]) ).
thf(zip_derived_cl47412,plain,
in @ sk__27 @ sk__26,
inference(demod,[status(thm)],[zip_derived_cl47356,zip_derived_cl918]) ).
thf(zip_derived_cl47414,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl47412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU171+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T142uBdkif true
% 0.14/0.37 % Computer : n015.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Aug 23 14:08:05 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.24/0.67 % Total configuration time : 435
% 0.24/0.67 % Estimated wc time : 1092
% 0.24/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 79.68/12.17 % Solved by fo/fo6_bce.sh.
% 79.68/12.17 % BCE start: 196
% 79.68/12.17 % BCE eliminated: 4
% 79.68/12.17 % PE start: 192
% 79.68/12.17 logic: eq
% 79.68/12.17 % PE eliminated: 0
% 79.68/12.17 % done 4527 iterations in 11.420s
% 79.68/12.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 79.68/12.17 % SZS output start Refutation
% See solution above
% 79.68/12.17
% 79.68/12.17
% 79.68/12.17 % Terminating...
% 81.11/12.25 % Runner terminated.
% 81.11/12.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------