TSTP Solution File: SEU105+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU105+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w025qxz8Nb true
% Computer : n022.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 19:10:28 EDT 2023
% Result : Theorem 3.16s 1.08s
% Output : Refutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 62 ( 24 unt; 11 typ; 0 def)
% Number of atoms : 95 ( 9 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 377 ( 27 ~; 29 |; 4 &; 306 @)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(t10_finsub_1,axiom,
! [A: $i] :
( ( preboolean @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ A )
& ( in @ C @ A ) )
=> ( ( in @ ( set_union2 @ B @ C ) @ A )
& ( in @ ( set_difference @ B @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( in @ ( sk__11 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[t10_finsub_1]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl309,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( element @ ( sk__11 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl63]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( in @ ( sk__10 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[t10_finsub_1]) ).
thf(zip_derived_cl63_001,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl281,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( element @ ( sk__10 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl63]) ).
thf(t16_finsub_1,conjecture,
! [A: $i] :
( ~ ( empty @ A )
=> ( ! [B: $i] :
( ( element @ B @ A )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ( in @ ( symmetric_difference @ B @ C ) @ A )
& ( in @ ( set_intersection2 @ B @ C ) @ A ) ) ) )
=> ( preboolean @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ~ ( empty @ A )
=> ( ! [B: $i] :
( ( element @ B @ A )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ( in @ ( symmetric_difference @ B @ C ) @ A )
& ( in @ ( set_intersection2 @ B @ C ) @ A ) ) ) )
=> ( preboolean @ A ) ) ),
inference('cnf.neg',[status(esa)],[t16_finsub_1]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl725,plain,
! [X0: $i] :
( ( preboolean @ sk__12 )
| ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl61]) ).
thf(zip_derived_cl59,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl731,plain,
! [X0: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl725,zip_derived_cl59]) ).
thf(zip_derived_cl889,plain,
( ( preboolean @ sk__12 )
| ( in @ ( symmetric_difference @ ( sk__11 @ sk__12 ) @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl731]) ).
thf(zip_derived_cl59_002,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k5_xboole_0,axiom,
! [A: $i,B: $i] :
( ( symmetric_difference @ A @ B )
= ( symmetric_difference @ B @ A ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X1 @ X0 )
= ( symmetric_difference @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k5_xboole_0]) ).
thf(zip_derived_cl895,plain,
in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl889,zip_derived_cl59,zip_derived_cl8]) ).
thf(zip_derived_cl63_003,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl1336,plain,
element @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl895,zip_derived_cl63]) ).
thf(zip_derived_cl309_004,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( element @ ( sk__11 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl63]) ).
thf(zip_derived_cl281_005,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( element @ ( sk__10 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl63]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl724,plain,
! [X0: $i] :
( ( preboolean @ sk__12 )
| ~ ( element @ X0 @ sk__12 )
| ( in @ ( set_intersection2 @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl60]) ).
thf(zip_derived_cl59_006,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl730,plain,
! [X0: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( set_intersection2 @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl724,zip_derived_cl59]) ).
thf(zip_derived_cl823,plain,
( ( preboolean @ sk__12 )
| ( in @ ( set_intersection2 @ ( sk__11 @ sk__12 ) @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl730]) ).
thf(zip_derived_cl59_007,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl830,plain,
in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl823,zip_derived_cl59,zip_derived_cl7]) ).
thf(zip_derived_cl63_008,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl1293,plain,
element @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl830,zip_derived_cl63]) ).
thf(zip_derived_cl61_009,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1635,plain,
! [X0: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X0 @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1293,zip_derived_cl61]) ).
thf(zip_derived_cl3231,plain,
in @ ( symmetric_difference @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) ) @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl1336,zip_derived_cl1635]) ).
thf(t94_xboole_1,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( symmetric_difference @ ( symmetric_difference @ A @ B ) @ ( set_intersection2 @ A @ B ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X0 @ X1 )
= ( symmetric_difference @ ( symmetric_difference @ X0 @ X1 ) @ ( set_intersection2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t94_xboole_1]) ).
thf(zip_derived_cl3249,plain,
in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl3231,zip_derived_cl76]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ~ ( in @ ( set_union2 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 )
| ~ ( in @ ( set_difference @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 ) ),
inference(cnf,[status(esa)],[t10_finsub_1]) ).
thf(zip_derived_cl3262,plain,
( ~ ( in @ ( set_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ( preboolean @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3249,zip_derived_cl57]) ).
thf(zip_derived_cl1293_010,plain,
element @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl830,zip_derived_cl63]) ).
thf(zip_derived_cl731_011,plain,
! [X0: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X0 @ ( sk__10 @ sk__12 ) ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl725,zip_derived_cl59]) ).
thf(zip_derived_cl1639,plain,
in @ ( symmetric_difference @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ ( sk__10 @ sk__12 ) ) @ sk__12,
inference('sup-',[status(thm)],[zip_derived_cl1293,zip_derived_cl731]) ).
thf(zip_derived_cl8_012,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X1 @ X0 )
= ( symmetric_difference @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k5_xboole_0]) ).
thf(t100_xboole_1,axiom,
! [A: $i,B: $i] :
( ( set_difference @ A @ B )
= ( symmetric_difference @ A @ ( set_intersection2 @ A @ B ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ( set_difference @ X0 @ X1 )
= ( symmetric_difference @ X0 @ ( set_intersection2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t100_xboole_1]) ).
thf(zip_derived_cl1664,plain,
in @ ( set_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl1639,zip_derived_cl8,zip_derived_cl52]) ).
thf(zip_derived_cl59_013,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3286,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3262,zip_derived_cl1664,zip_derived_cl59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU105+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w025qxz8Nb true
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Wed Aug 23 13:30:41 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % 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
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.16/1.08 % Solved by fo/fo5.sh.
% 3.16/1.08 % done 492 iterations in 0.292s
% 3.16/1.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.16/1.08 % SZS output start Refutation
% See solution above
% 3.16/1.08
% 3.16/1.08
% 3.16/1.08 % Terminating...
% 3.79/1.16 % Runner terminated.
% 3.79/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------