TSTP Solution File: TOP028+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP028+2 : 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.tU4N5cVisq true
% Computer : n001.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 27.45s 4.51s
% Output : Refutation 27.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 37
% Syntax : Number of formulae : 67 ( 16 unt; 25 typ; 0 def)
% Number of atoms : 131 ( 5 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 452 ( 62 ~; 37 |; 28 &; 301 @)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 55 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 3 con; 0-4 aty)
% Number of variables : 65 ( 0 ^; 62 !; 3 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(zip_tseitin_40_type,type,
zip_tseitin_40: $i > $i > $i > $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(zip_tseitin_38_type,type,
zip_tseitin_38: $i > $i > $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__144_type,type,
sk__144: $i > $i > $i ).
thf(sk__167_type,type,
sk__167: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v1_tsp_1_type,type,
v1_tsp_1: $i > $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $i > $i > $i > $i > $o ).
thf(v2_pre_topc_type,type,
v2_pre_topc: $i > $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $i > $i > $i > $i > $o ).
thf(sk__168_type,type,
sk__168: $i ).
thf(l1_pre_topc_type,type,
l1_pre_topc: $i > $o ).
thf(v3_pre_topc_type,type,
v3_pre_topc: $i > $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(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(t2_xboole_1,axiom,
! [A: $i] : ( r1_tarski @ k1_xboole_0 @ A ) ).
thf(zip_derived_cl25,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_cl107,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( r1_tarski @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[t7_ordinal1]) ).
thf(zip_derived_cl6808,plain,
! [X0: $i] :
~ ( r2_hidden @ X0 @ k1_xboole_0 ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl107]) ).
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_40: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_40 @ E @ D @ C @ A )
<=> ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( zip_tseitin_39 @ E @ D @ C @ A ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_39: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_39 @ E @ D @ C @ A )
<=> ( ( v3_pre_topc @ E @ A )
& ( r2_hidden @ C @ E )
& ~ ( r2_hidden @ D @ E ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_38: $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_38 @ E @ D @ C @ A )
<=> ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ~ ( zip_tseitin_37 @ E @ D @ C @ A ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_37: $i > $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [E: $i,D: $i,C: $i,A: $i] :
( ( zip_tseitin_37 @ 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_40 @ E @ D @ C @ A )
& ! [E: $i] : ( zip_tseitin_38 @ E @ D @ C @ A ) ) ) ) ) ) ) ).
thf(zip_derived_cl1035,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r2_hidden @ ( sk__144 @ X0 @ X1 ) @ X0 )
| ( v1_tsp_1 @ X0 @ X1 )
| ~ ( l1_pre_topc @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl9299,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_cl6808,zip_derived_cl1035]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__8 @ X0 ) @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] : ( v1_xboole_0 @ ( sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(d5_xboole_0,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference(cnf,[status(esa)],[d5_xboole_0]) ).
thf(zip_derived_cl6819,plain,
! [X0: $i] :
( ( sk__8 @ X0 )
= k1_xboole_0 ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl16]) ).
thf(zip_derived_cl6890,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl6819]) ).
thf(zip_derived_cl9301,plain,
! [X0: $i] :
( ~ ( l1_pre_topc @ X0 )
| ( v1_tsp_1 @ k1_xboole_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9299,zip_derived_cl6890]) ).
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_cl1157,plain,
! [X0: $i] :
( ~ ( v1_tsp_2 @ X0 @ sk__168 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) ) ),
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_cl1151,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__167 @ 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_cl14022,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( sk__167 @ X0 @ sk__168 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) )
| ( v3_struct_0 @ sk__168 )
| ~ ( v2_pre_topc @ sk__168 )
| ~ ( l1_pre_topc @ sk__168 )
| ~ ( v1_tsp_1 @ X0 @ sk__168 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1157,zip_derived_cl1151]) ).
thf(zip_derived_cl1154,plain,
~ ( v3_struct_0 @ sk__168 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1155,plain,
v2_pre_topc @ sk__168,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1156,plain,
l1_pre_topc @ sk__168,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl14029,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( sk__167 @ X0 @ sk__168 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__168 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14022,zip_derived_cl1154,zip_derived_cl1155,zip_derived_cl1156]) ).
thf(zip_derived_cl1153,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__167 @ 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_cl20340,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__168 )
| ( v3_struct_0 @ sk__168 )
| ~ ( v2_pre_topc @ sk__168 )
| ~ ( l1_pre_topc @ sk__168 )
| ~ ( v1_tsp_1 @ X0 @ sk__168 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14029,zip_derived_cl1153]) ).
thf(zip_derived_cl1154_001,plain,
~ ( v3_struct_0 @ sk__168 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1155_002,plain,
v2_pre_topc @ sk__168,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1156_003,plain,
l1_pre_topc @ sk__168,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl20349,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) )
| ~ ( v1_tsp_1 @ X0 @ sk__168 )
| ~ ( v1_tsp_1 @ X0 @ sk__168 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20340,zip_derived_cl1154,zip_derived_cl1155,zip_derived_cl1156]) ).
thf(zip_derived_cl20350,plain,
! [X0: $i] :
( ~ ( v1_tsp_1 @ X0 @ sk__168 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl20349]) ).
thf(zip_derived_cl20370,plain,
( ~ ( l1_pre_topc @ sk__168 )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__168 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9301,zip_derived_cl20350]) ).
thf(zip_derived_cl1156_004,plain,
l1_pre_topc @ sk__168,
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl6890_005,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl6819]) ).
thf(zip_derived_cl20379,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl20370,zip_derived_cl1156,zip_derived_cl6890]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP028+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tU4N5cVisq true
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 00:10:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.30/1.09 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 27.45/4.51 % Solved by fo/fo3_bce.sh.
% 27.45/4.51 % BCE start: 1158
% 27.45/4.51 % BCE eliminated: 98
% 27.45/4.51 % PE start: 1060
% 27.45/4.51 logic: eq
% 27.45/4.51 % PE eliminated: -15
% 27.45/4.51 % done 1998 iterations in 3.803s
% 27.45/4.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.45/4.51 % SZS output start Refutation
% See solution above
% 27.45/4.51
% 27.45/4.51
% 27.45/4.51 % Terminating...
% 27.45/4.56 % Runner terminated.
% 27.48/4.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------