TSTP Solution File: TOP028+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP028+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5CDJWO2fcm true
% Computer : n013.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 64.89s 10.03s
% Output : Refutation 64.89s
% 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(zip_tseitin_50_type,type,
zip_tseitin_50: $i > $i > $i > $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(zip_tseitin_49_type,type,
zip_tseitin_49: $i > $i > $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(sk__228_type,type,
sk__228: $i > $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(zip_tseitin_52_type,type,
zip_tseitin_52: $i > $i > $i > $i > $o ).
thf(v3_pre_topc_type,type,
v3_pre_topc: $i > $i > $o ).
thf(zip_tseitin_51_type,type,
zip_tseitin_51: $i > $i > $i > $i > $o ).
thf(sk__205_type,type,
sk__205: $i > $i > $i ).
thf(sk__229_type,type,
sk__229: $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(l1_pre_topc_type,type,
l1_pre_topc: $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v1_tsp_2_type,type,
v1_tsp_2: $i > $i > $o ).
thf(v1_tsp_1_type,type,
v1_tsp_1: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v2_pre_topc_type,type,
v2_pre_topc: $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_cl216,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( r1_tarski @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[t7_ordinal1]) ).
thf(zip_derived_cl8051,plain,
! [X0: $i] :
~ ( r2_hidden @ X0 @ k1_xboole_0 ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl216]) ).
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_52: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_52 @ E @ D @ C @ A )
<=> ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( zip_tseitin_51 @ E @ D @ C @ A ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_51: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_51 @ E @ D @ C @ A )
<=> ( ( v3_pre_topc @ E @ A )
& ( r2_hidden @ C @ E )
& ~ ( r2_hidden @ D @ E ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_50: $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_50 @ E @ D @ C @ A )
<=> ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( zip_tseitin_49 @ E @ D @ C @ A ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_49: $i > $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_49 @ 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_52 @ E @ D @ C @ A )
& ! [E: $i] : ( zip_tseitin_50 @ E @ D @ C @ A ) ) ) ) ) ) ) ).
thf(zip_derived_cl1275,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r2_hidden @ ( sk__205 @ X0 @ X1 ) @ X0 )
| ( v1_tsp_1 @ X0 @ X1 )
| ~ ( l1_pre_topc @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl14305,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_cl8051,zip_derived_cl1275]) ).
thf(t4_subset_1,axiom,
! [A: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[t4_subset_1]) ).
thf(zip_derived_cl14309,plain,
! [X0: $i] :
( ~ ( l1_pre_topc @ X0 )
| ( v1_tsp_1 @ k1_xboole_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14305,zip_derived_cl99]) ).
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_cl1397,plain,
! [X0: $i] :
( ~ ( v1_tsp_2 @ X0 @ sk__229 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) ) ),
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_cl1391,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__228 @ 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_cl22827,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( sk__228 @ X0 @ sk__229 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) )
| ( v3_struct_0 @ sk__229 )
| ~ ( v2_pre_topc @ sk__229 )
| ~ ( l1_pre_topc @ sk__229 )
| ~ ( v1_tsp_1 @ X0 @ sk__229 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1397,zip_derived_cl1391]) ).
thf(zip_derived_cl1394,plain,
~ ( v3_struct_0 @ sk__229 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1395,plain,
v2_pre_topc @ sk__229,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1396,plain,
l1_pre_topc @ sk__229,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl22834,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( sk__228 @ X0 @ sk__229 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__229 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22827,zip_derived_cl1394,zip_derived_cl1395,zip_derived_cl1396]) ).
thf(zip_derived_cl1393,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__228 @ 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_cl33361,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__229 )
| ( v3_struct_0 @ sk__229 )
| ~ ( v2_pre_topc @ sk__229 )
| ~ ( l1_pre_topc @ sk__229 )
| ~ ( v1_tsp_1 @ X0 @ sk__229 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22834,zip_derived_cl1393]) ).
thf(zip_derived_cl1394_001,plain,
~ ( v3_struct_0 @ sk__229 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1395_002,plain,
v2_pre_topc @ sk__229,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1396_003,plain,
l1_pre_topc @ sk__229,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl33375,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__229 )
| ~ ( v1_tsp_1 @ X0 @ sk__229 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33361,zip_derived_cl1394,zip_derived_cl1395,zip_derived_cl1396]) ).
thf(zip_derived_cl33376,plain,
! [X0: $i] :
( ~ ( v1_tsp_1 @ X0 @ sk__229 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl33375]) ).
thf(zip_derived_cl33467,plain,
( ~ ( l1_pre_topc @ sk__229 )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__229 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14309,zip_derived_cl33376]) ).
thf(zip_derived_cl1396_004,plain,
l1_pre_topc @ sk__229,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl99_005,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[t4_subset_1]) ).
thf(zip_derived_cl33474,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl33467,zip_derived_cl1396,zip_derived_cl99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP028+3 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5CDJWO2fcm true
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 23:35:48 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 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/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 64.89/10.03 % Solved by fo/fo3_bce.sh.
% 64.89/10.03 % BCE start: 1398
% 64.89/10.03 % BCE eliminated: 132
% 64.89/10.03 % PE start: 1266
% 64.89/10.03 logic: eq
% 64.89/10.03 % PE eliminated: -14
% 64.89/10.03 % done 3582 iterations in 9.288s
% 64.89/10.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 64.89/10.03 % SZS output start Refutation
% See solution above
% 64.89/10.04
% 64.89/10.04
% 64.89/10.04 % Terminating...
% 65.39/10.08 % Runner terminated.
% 65.39/10.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------