TSTP Solution File: SEU309+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU309+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.g05Gb5ADlV true
% Computer : n016.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 19:12:02 EDT 2023
% Result : Theorem 84.03s 12.65s
% Output : Refutation 84.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 52 ( 22 unt; 12 typ; 0 def)
% Number of atoms : 66 ( 24 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 317 ( 29 ~; 17 |; 1 &; 262 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_difference_type,type,
subset_difference: $i > $i > $i > $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(sk__293_type,type,
sk__293: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(cast_to_subset_type,type,
cast_to_subset: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__294_type,type,
sk__294: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl1301,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(t28_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ) ).
thf(zip_derived_cl1257,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(redefinition_k6_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ ( powerset @ A ) )
& ( element @ C @ ( powerset @ A ) ) )
=> ( ( subset_difference @ A @ B @ C )
= ( set_difference @ B @ C ) ) ) ).
thf(zip_derived_cl728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ X1 ) )
| ( ( subset_difference @ X1 @ X0 @ X2 )
= ( set_difference @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_subset_1]) ).
thf(zip_derived_cl728_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ X1 ) )
| ( ( subset_difference @ X1 @ X0 @ X2 )
= ( set_difference @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_subset_1]) ).
thf(d3_pre_topc,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ( ( cast_as_carrier_subset @ A )
= ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ( ( cast_as_carrier_subset @ X0 )
= ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 ) ),
inference(cnf,[status(esa)],[d3_pre_topc]) ).
thf(t22_pre_topc,conjecture,
! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) )
= B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) )
= B ) ) ),
inference('cnf.neg',[status(esa)],[t22_pre_topc]) ).
thf(zip_derived_cl1223,plain,
( ( subset_difference @ ( the_carrier @ sk__293 ) @ ( cast_as_carrier_subset @ sk__293 ) @ ( subset_difference @ ( the_carrier @ sk__293 ) @ ( cast_as_carrier_subset @ sk__293 ) @ sk__294 ) )
!= sk__294 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14665,plain,
( ~ ( one_sorted_str @ sk__293 )
| ( ( subset_difference @ ( the_carrier @ sk__293 ) @ ( the_carrier @ sk__293 ) @ ( subset_difference @ ( the_carrier @ sk__293 ) @ ( the_carrier @ sk__293 ) @ sk__294 ) )
!= sk__294 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl1223]) ).
thf(zip_derived_cl1222,plain,
one_sorted_str @ sk__293,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14667,plain,
( ( subset_difference @ ( the_carrier @ sk__293 ) @ ( the_carrier @ sk__293 ) @ ( subset_difference @ ( the_carrier @ sk__293 ) @ ( the_carrier @ sk__293 ) @ sk__294 ) )
!= sk__294 ),
inference(demod,[status(thm)],[zip_derived_cl14665,zip_derived_cl1222]) ).
thf(zip_derived_cl15904,plain,
( ~ ( element @ sk__294 @ ( powerset @ ( the_carrier @ sk__293 ) ) )
| ~ ( element @ ( the_carrier @ sk__293 ) @ ( powerset @ ( the_carrier @ sk__293 ) ) )
| ( ( subset_difference @ ( the_carrier @ sk__293 ) @ ( the_carrier @ sk__293 ) @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) )
!= sk__294 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl14667]) ).
thf(zip_derived_cl1224,plain,
element @ sk__294 @ ( powerset @ ( the_carrier @ sk__293 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k2_subset_1,axiom,
! [A: $i] : ( element @ ( cast_to_subset @ A ) @ ( powerset @ A ) ) ).
thf(zip_derived_cl412,plain,
! [X0: $i] : ( element @ ( cast_to_subset @ X0 ) @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_subset_1]) ).
thf(d4_subset_1,axiom,
! [A: $i] :
( ( cast_to_subset @ A )
= A ) ).
thf(zip_derived_cl280,plain,
! [X0: $i] :
( ( cast_to_subset @ X0 )
= X0 ),
inference(cnf,[status(esa)],[d4_subset_1]) ).
thf(zip_derived_cl10583,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl412,zip_derived_cl280]) ).
thf(zip_derived_cl15909,plain,
( ( subset_difference @ ( the_carrier @ sk__293 ) @ ( the_carrier @ sk__293 ) @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) )
!= sk__294 ),
inference(demod,[status(thm)],[zip_derived_cl15904,zip_derived_cl1224,zip_derived_cl10583]) ).
thf(zip_derived_cl21492,plain,
( ~ ( element @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) @ ( powerset @ ( the_carrier @ sk__293 ) ) )
| ~ ( element @ ( the_carrier @ sk__293 ) @ ( powerset @ ( the_carrier @ sk__293 ) ) )
| ( ( set_difference @ ( the_carrier @ sk__293 ) @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) )
!= sk__294 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl15909]) ).
thf(zip_derived_cl10583_002,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl412,zip_derived_cl280]) ).
thf(t48_xboole_1,axiom,
! [A: $i,B: $i] :
( ( set_difference @ A @ ( set_difference @ A @ B ) )
= ( set_intersection2 @ A @ B ) ) ).
thf(zip_derived_cl1329,plain,
! [X0: $i,X1: $i] :
( ( set_difference @ X0 @ ( set_difference @ X0 @ X1 ) )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t48_xboole_1]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl21494,plain,
( ~ ( element @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) @ ( powerset @ ( the_carrier @ sk__293 ) ) )
| ( ( set_intersection2 @ sk__294 @ ( the_carrier @ sk__293 ) )
!= sk__294 ) ),
inference(demod,[status(thm)],[zip_derived_cl21492,zip_derived_cl10583,zip_derived_cl1329,zip_derived_cl72]) ).
thf(zip_derived_cl49457,plain,
( ~ ( subset @ sk__294 @ ( the_carrier @ sk__293 ) )
| ~ ( element @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) @ ( powerset @ ( the_carrier @ sk__293 ) ) )
| ( sk__294 != sk__294 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1257,zip_derived_cl21494]) ).
thf(zip_derived_cl1224_003,plain,
element @ sk__294 @ ( powerset @ ( the_carrier @ sk__293 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1300,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl12108,plain,
subset @ sk__294 @ ( the_carrier @ sk__293 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1224,zip_derived_cl1300]) ).
thf(zip_derived_cl49460,plain,
( ~ ( element @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) @ ( powerset @ ( the_carrier @ sk__293 ) ) )
| ( sk__294 != sk__294 ) ),
inference(demod,[status(thm)],[zip_derived_cl49457,zip_derived_cl12108]) ).
thf(zip_derived_cl49461,plain,
~ ( element @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) @ ( powerset @ ( the_carrier @ sk__293 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl49460]) ).
thf(zip_derived_cl49464,plain,
~ ( subset @ ( set_difference @ ( the_carrier @ sk__293 ) @ sk__294 ) @ ( the_carrier @ sk__293 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1301,zip_derived_cl49461]) ).
thf(t36_xboole_1,axiom,
! [A: $i,B: $i] : ( subset @ ( set_difference @ A @ B ) @ A ) ).
thf(zip_derived_cl1283,plain,
! [X0: $i,X1: $i] : ( subset @ ( set_difference @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[t36_xboole_1]) ).
thf(zip_derived_cl49477,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl49464,zip_derived_cl1283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU309+2 : 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.g05Gb5ADlV true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 14:47:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 84.03/12.65 % Solved by fo/fo6_bce.sh.
% 84.03/12.65 % BCE start: 1436
% 84.03/12.65 % BCE eliminated: 26
% 84.03/12.65 % PE start: 1410
% 84.03/12.65 logic: eq
% 84.03/12.65 % PE eliminated: 102
% 84.03/12.65 % done 4324 iterations in 11.896s
% 84.03/12.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 84.03/12.65 % SZS output start Refutation
% See solution above
% 84.03/12.65
% 84.03/12.65
% 84.03/12.65 % Terminating...
% 84.46/12.75 % Runner terminated.
% 84.46/12.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------