TSTP Solution File: TOP028+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP028+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Dkc4Yj73AU true
% Computer : n006.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 : Fri Sep 1 06:03:49 EDT 2023
% Result : Theorem 170.43s 25.13s
% Output : Refutation 170.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 60 ( 14 unt; 23 typ; 0 def)
% Number of atoms : 123 ( 2 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 438 ( 61 ~; 36 |; 27 &; 291 @)
% ( 6 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 59 ( 0 ^; 57 !; 2 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__290_type,type,
sk__290: $i > $i > $i ).
thf(v1_tsp_1_type,type,
v1_tsp_1: $i > $i > $o ).
thf(sk__267_type,type,
sk__267: $i > $i > $i ).
thf(zip_tseitin_112_type,type,
zip_tseitin_112: $i > $i > $i > $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(zip_tseitin_110_type,type,
zip_tseitin_110: $i > $i > $i > $i > $o ).
thf(zip_tseitin_113_type,type,
zip_tseitin_113: $i > $i > $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v2_pre_topc_type,type,
v2_pre_topc: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(zip_tseitin_111_type,type,
zip_tseitin_111: $i > $i > $i > $i > $o ).
thf(sk__291_type,type,
sk__291: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v1_tsp_2_type,type,
v1_tsp_2: $i > $i > $o ).
thf(l1_pre_topc_type,type,
l1_pre_topc: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v3_pre_topc_type,type,
v3_pre_topc: $i > $i > $o ).
thf(t2_xboole_1,axiom,
! [A: $i] : ( r1_tarski @ k1_xboole_0 @ A ) ).
thf(zip_derived_cl23,plain,
! [X0: $i] : ( r1_tarski @ k1_xboole_0 @ X0 ),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
thf(t7_ordinal1,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r1_tarski @ B @ A ) ) ).
thf(zip_derived_cl226,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( r1_tarski @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[t7_ordinal1]) ).
thf(zip_derived_cl12562,plain,
! [X0: $i] :
~ ( r2_hidden @ X0 @ k1_xboole_0 ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl226]) ).
thf(d8_tsp_1,axiom,
! [A: $i] :
( ( l1_pre_topc @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_1 @ B @ A )
<=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ~ ( ! [E: $i] :
( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( ( r2_hidden @ D @ E )
& ~ ( r2_hidden @ C @ E )
& ( v3_pre_topc @ E @ A ) ) )
& ! [E: $i] :
( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( ~ ( r2_hidden @ D @ E )
& ( r2_hidden @ C @ E )
& ( v3_pre_topc @ E @ A ) ) )
& ( C != D )
& ( r2_hidden @ D @ B )
& ( r2_hidden @ C @ B ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_113: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_113 @ E @ D @ C @ A )
<=> ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( zip_tseitin_112 @ E @ D @ C @ A ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_112: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_112 @ E @ D @ C @ A )
<=> ( ( v3_pre_topc @ E @ A )
& ( r2_hidden @ C @ E )
& ~ ( r2_hidden @ D @ E ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_111: $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_111 @ E @ D @ C @ A )
<=> ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( zip_tseitin_110 @ E @ D @ C @ A ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_110: $i > $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_110 @ E @ D @ C @ A )
<=> ( ( v3_pre_topc @ E @ A )
& ~ ( r2_hidden @ C @ E )
& ( r2_hidden @ D @ E ) ) ) ).
thf(zf_stmt_8,axiom,
! [A: $i] :
( ( l1_pre_topc @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_1 @ B @ A )
<=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ~ ( ( r2_hidden @ C @ B )
& ( r2_hidden @ D @ B )
& ( C != D )
& ! [E: $i] : ( zip_tseitin_113 @ E @ D @ C @ A )
& ! [E: $i] : ( zip_tseitin_111 @ E @ D @ C @ A ) ) ) ) ) ) ) ).
thf(zip_derived_cl1741,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r2_hidden @ ( sk__267 @ X0 @ X1 ) @ X0 )
| ( v1_tsp_1 @ X0 @ X1 )
| ~ ( l1_pre_topc @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl22963,plain,
! [X0: $i] :
( ~ ( l1_pre_topc @ X0 )
| ( v1_tsp_1 @ k1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12562,zip_derived_cl1741]) ).
thf(t4_subset_1,axiom,
! [A: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ).
thf(zip_derived_cl104,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[t4_subset_1]) ).
thf(zip_derived_cl22966,plain,
! [X0: $i] :
( ~ ( l1_pre_topc @ X0 )
| ( v1_tsp_1 @ k1_xboole_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22963,zip_derived_cl104]) ).
thf(t10_tsp_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( v1_tsp_2 @ B @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zf_stmt_9,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( v1_tsp_2 @ B @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t10_tsp_2]) ).
thf(zip_derived_cl1863,plain,
! [X0: $i] :
( ~ ( v1_tsp_2 @ X0 @ sk__291 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(t9_tsp_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( ( v1_tsp_1 @ B @ A )
& ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( ( r1_tarski @ B @ C )
& ( v1_tsp_2 @ C @ A ) ) ) ) ) ) ).
thf(zip_derived_cl1857,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( v1_tsp_1 @ X0 @ X1 )
| ( v1_tsp_2 @ ( sk__290 @ X0 @ X1 ) @ X1 )
| ~ ( l1_pre_topc @ X1 )
| ~ ( v2_pre_topc @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t9_tsp_2]) ).
thf(zip_derived_cl35304,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( sk__290 @ X0 @ sk__291 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) )
| ( v3_struct_0 @ sk__291 )
| ~ ( v2_pre_topc @ sk__291 )
| ~ ( l1_pre_topc @ sk__291 )
| ~ ( v1_tsp_1 @ X0 @ sk__291 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1863,zip_derived_cl1857]) ).
thf(zip_derived_cl1860,plain,
~ ( v3_struct_0 @ sk__291 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1861,plain,
v2_pre_topc @ sk__291,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1862,plain,
l1_pre_topc @ sk__291,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl35311,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( sk__290 @ X0 @ sk__291 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__291 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35304,zip_derived_cl1860,zip_derived_cl1861,zip_derived_cl1862]) ).
thf(zip_derived_cl1859,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( v1_tsp_1 @ X0 @ X1 )
| ( m1_subset_1 @ ( sk__290 @ X0 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( l1_pre_topc @ X1 )
| ~ ( v2_pre_topc @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t9_tsp_2]) ).
thf(zip_derived_cl50079,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__291 )
| ( v3_struct_0 @ sk__291 )
| ~ ( v2_pre_topc @ sk__291 )
| ~ ( l1_pre_topc @ sk__291 )
| ~ ( v1_tsp_1 @ X0 @ sk__291 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl35311,zip_derived_cl1859]) ).
thf(zip_derived_cl1860_001,plain,
~ ( v3_struct_0 @ sk__291 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1861_002,plain,
v2_pre_topc @ sk__291,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1862_003,plain,
l1_pre_topc @ sk__291,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl50090,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__291 )
| ~ ( v1_tsp_1 @ X0 @ sk__291 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl50079,zip_derived_cl1860,zip_derived_cl1861,zip_derived_cl1862]) ).
thf(zip_derived_cl50091,plain,
! [X0: $i] :
( ~ ( v1_tsp_1 @ X0 @ sk__291 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl50090]) ).
thf(zip_derived_cl50110,plain,
( ~ ( l1_pre_topc @ sk__291 )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__291 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22966,zip_derived_cl50091]) ).
thf(zip_derived_cl1862_004,plain,
l1_pre_topc @ sk__291,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl104_005,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[t4_subset_1]) ).
thf(zip_derived_cl50117,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl50110,zip_derived_cl1862,zip_derived_cl104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP028+4 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Dkc4Yj73AU true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 23:07:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 170.43/25.13 % Solved by fo/fo3_bce.sh.
% 170.43/25.13 % BCE start: 1864
% 170.43/25.13 % BCE eliminated: 92
% 170.43/25.13 % PE start: 1772
% 170.43/25.13 logic: eq
% 170.43/25.13 % PE eliminated: 30
% 170.43/25.13 % done 4528 iterations in 24.362s
% 170.43/25.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 170.43/25.13 % SZS output start Refutation
% See solution above
% 170.43/25.13
% 170.43/25.13
% 170.43/25.13 % Terminating...
% 171.83/25.21 % Runner terminated.
% 171.83/25.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------