TSTP Solution File: SEU229+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU229+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9UrFHoYoTy true
% Computer : n025.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 19:11:26 EDT 2023
% Result : Theorem 14.43s 2.80s
% Output : Refutation 14.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 65 ( 12 unt; 11 typ; 0 def)
% Number of atoms : 131 ( 48 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 451 ( 65 ~; 59 |; 12 &; 309 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 155 ( 0 ^; 154 !; 1 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(unordered_triple_type,type,
unordered_triple: $i > $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(t3_ordinal1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( in @ B @ C )
& ( in @ C @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( in @ B @ C )
& ( in @ C @ A ) ),
inference('cnf.neg',[status(esa)],[t3_ordinal1]) ).
thf(zip_derived_cl45,plain,
in @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
in @ sk__12 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] : ( element @ ( sk__1 @ 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_cl44,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl210,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl44]) ).
thf(t7_tarski,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ B )
& ! [D: $i] :
~ ( ( in @ D @ B )
& ( in @ D @ C ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__15 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl262,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__15 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl50]) ).
thf(d1_enumset1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D
= ( unordered_triple @ A @ B @ C ) )
<=> ! [E: $i] :
( ( in @ E @ D )
<=> ~ ( ( E != C )
& ( E != B )
& ( E != A ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [E: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ E @ C @ B @ A )
<=> ( ( E != A )
& ( E != B )
& ( E != C ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X0 = X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D
= ( unordered_triple @ A @ B @ C ) )
<=> ! [E: $i] :
( ( in @ E @ D )
<=> ~ ( zip_tseitin_0 @ E @ C @ B @ A ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X4 )
| ( X1
!= ( unordered_triple @ X4 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X0 )
| ( X3 = X1 )
| ( X3 = X2 )
| ( X4
!= ( unordered_triple @ X0 @ X1 @ X2 ) )
| ~ ( in @ X3 @ X4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl11]) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
| ( X3 = X0 )
| ( X3 = X1 )
| ( X3 = X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty @ ( unordered_triple @ X2 @ X1 @ X0 ) )
| ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X2 )
| ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X1 )
| ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl277]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X0 @ X4 )
| ( X4
!= ( unordered_triple @ X3 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X4
!= ( unordered_triple @ X0 @ X1 @ X2 ) )
| ( in @ X3 @ X4 )
| ( X3 != X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl6]) ).
thf(zip_derived_cl270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X1 @ X0 )
| ( X0
!= ( unordered_triple @ X1 @ X3 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i,X2: $i] : ( in @ X2 @ ( unordered_triple @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl270]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl297,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( empty @ ( unordered_triple @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl49]) ).
thf(zip_derived_cl309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X2 )
| ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X1 )
| ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl297]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X2 @ X1 )
| ~ ( in @ X2 @ ( sk__15 @ X1 ) ) ),
inference(cnf,[status(esa)],[t7_tarski]) ).
thf(zip_derived_cl251,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__15 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ X0 )
| ( ( sk__15 @ ( unordered_triple @ X0 @ X2 @ X1 ) )
= X1 )
| ( ( sk__15 @ ( unordered_triple @ X0 @ X2 @ X1 ) )
= X2 )
| ~ ( in @ X3 @ ( unordered_triple @ X0 @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl251]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X0 @ X4 )
| ( X4
!= ( unordered_triple @ X3 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X4
!= ( unordered_triple @ X0 @ X1 @ X2 ) )
| ( in @ X3 @ X4 )
| ( X3 != X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X1 @ X0 )
| ( X0
!= ( unordered_triple @ X3 @ X1 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i,X2: $i] : ( in @ X1 @ ( unordered_triple @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl275]) ).
thf(zip_derived_cl7713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X1 )
| ( ( sk__15 @ ( unordered_triple @ X2 @ X1 @ X0 ) )
= X0 )
| ~ ( in @ X1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl837,zip_derived_cl281]) ).
thf(zip_derived_cl12026,plain,
! [X0: $i] :
( ( ( sk__15 @ ( unordered_triple @ sk__13 @ sk__12 @ X0 ) )
= X0 )
| ( ( sk__15 @ ( unordered_triple @ sk__13 @ sk__12 @ X0 ) )
= sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl7713]) ).
thf(zip_derived_cl251_002,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__15 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl12034,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( ( sk__15 @ ( unordered_triple @ sk__13 @ sk__12 @ X0 ) )
= sk__12 )
| ~ ( in @ X1 @ ( unordered_triple @ sk__13 @ sk__12 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12026,zip_derived_cl251]) ).
thf(zip_derived_cl280_003,plain,
! [X0: $i,X1: $i,X2: $i] : ( in @ X2 @ ( unordered_triple @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl14282,plain,
! [X0: $i] :
( ( ( sk__15 @ ( unordered_triple @ sk__13 @ sk__12 @ X0 ) )
= sk__12 )
| ~ ( in @ sk__13 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12034,zip_derived_cl280]) ).
thf(zip_derived_cl251_004,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__15 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl14302,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__12 )
| ~ ( in @ sk__13 @ X0 )
| ~ ( in @ X1 @ ( unordered_triple @ sk__13 @ sk__12 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14282,zip_derived_cl251]) ).
thf(zip_derived_cl10_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( in @ X0 @ X4 )
| ( X4
!= ( unordered_triple @ X3 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X4
!= ( unordered_triple @ X0 @ X1 @ X2 ) )
| ( in @ X3 @ X4 )
| ( X3 != X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).
thf(zip_derived_cl276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X1 @ X0 )
| ( X0
!= ( unordered_triple @ X3 @ X2 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl282,plain,
! [X0: $i,X1: $i,X2: $i] : ( in @ X0 @ ( unordered_triple @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl276]) ).
thf(zip_derived_cl14654,plain,
! [X0: $i] :
( ~ ( in @ sk__13 @ X0 )
| ~ ( in @ X0 @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14302,zip_derived_cl282]) ).
thf(zip_derived_cl14675,plain,
~ ( in @ sk__14 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl14654]) ).
thf(zip_derived_cl46,plain,
in @ sk__14 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14676,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl14675,zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU229+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9UrFHoYoTy true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 15:04:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % 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/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.41/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.41/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.41/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.43/2.80 % Solved by fo/fo3_bce.sh.
% 14.43/2.80 % BCE start: 53
% 14.43/2.80 % BCE eliminated: 6
% 14.43/2.80 % PE start: 47
% 14.43/2.80 logic: eq
% 14.43/2.80 % PE eliminated: 2
% 14.43/2.80 % done 3902 iterations in 2.025s
% 14.43/2.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.43/2.80 % SZS output start Refutation
% See solution above
% 14.43/2.80
% 14.43/2.80
% 14.43/2.80 % Terminating...
% 15.75/2.86 % Runner terminated.
% 15.75/2.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------