TSTP Solution File: LAT300+4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT300+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.CQT9Q204I3 true
% Computer : n015.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 06:46:43 EDT 2023
% Result : Theorem 146.96s 21.84s
% Output : Refutation 146.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 68 ( 26 unt; 17 typ; 0 def)
% Number of atoms : 115 ( 15 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 291 ( 46 ~; 37 |; 15 &; 181 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 40 !; 4 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(m2_filter_2_type,type,
m2_filter_2: $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(sk__78_type,type,
sk__78: $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m2_lattice4_type,type,
m2_lattice4: $i > $i > $o ).
thf(sk__79_type,type,
sk__79: $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(t24_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ? [C: $i] :
( ( r2_hidden @ C @ B )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ? [C: $i] :
( ( r2_hidden @ C @ B )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t24_filter_2]) ).
thf(zip_derived_cl576,plain,
m2_filter_2 @ sk__79 @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m2_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) ) ) ) ).
thf(zip_derived_cl505,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_filter_2]) ).
thf(zip_derived_cl6255,plain,
( ( v3_struct_0 @ sk__78 )
| ~ ( v10_lattices @ sk__78 )
| ~ ( l3_lattices @ sk__78 )
| ~ ( v1_xboole_0 @ sk__79 ) ),
inference('sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl505]) ).
thf(zip_derived_cl572,plain,
~ ( v3_struct_0 @ sk__78 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl573,plain,
v10_lattices @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl574,plain,
l3_lattices @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6256,plain,
~ ( v1_xboole_0 @ sk__79 ),
inference(demod,[status(thm)],[zip_derived_cl6255,zip_derived_cl572,zip_derived_cl573,zip_derived_cl574]) ).
thf(t10_subset_1,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ~ ( ( B != k1_xboole_0 )
& ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ~ ( r2_hidden @ C @ B ) ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ ( sk__10 @ X0 @ X1 ) @ X0 )
| ( X0 = k1_xboole_0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t10_subset_1]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ ( sk__10 @ X0 @ X1 ) @ X1 )
| ( X0 = k1_xboole_0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t10_subset_1]) ).
thf(zip_derived_cl575,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk__79 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__78 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6949,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__78 ) ) )
| ( X0 = k1_xboole_0 )
| ~ ( r2_hidden @ ( sk__10 @ X0 @ ( u1_struct_0 @ sk__78 ) ) @ sk__79 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl575]) ).
thf(zip_derived_cl6988,plain,
( ~ ( m1_subset_1 @ sk__79 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__78 ) ) )
| ( sk__79 = k1_xboole_0 )
| ( sk__79 = k1_xboole_0 )
| ~ ( m1_subset_1 @ sk__79 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__78 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl6949]) ).
thf(zip_derived_cl6989,plain,
( ( sk__79 = k1_xboole_0 )
| ~ ( m1_subset_1 @ sk__79 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__78 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6988]) ).
thf(zip_derived_cl576_001,plain,
m2_filter_2 @ sk__79 @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl504,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ( m2_lattice4 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_filter_2]) ).
thf(zip_derived_cl6614,plain,
( ( v3_struct_0 @ sk__78 )
| ~ ( v10_lattices @ sk__78 )
| ~ ( l3_lattices @ sk__78 )
| ( m2_lattice4 @ sk__79 @ sk__78 ) ),
inference('sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl504]) ).
thf(zip_derived_cl572_002,plain,
~ ( v3_struct_0 @ sk__78 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl573_003,plain,
v10_lattices @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl574_004,plain,
l3_lattices @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6615,plain,
m2_lattice4 @ sk__79 @ sk__78,
inference(demod,[status(thm)],[zip_derived_cl6614,zip_derived_cl572,zip_derived_cl573,zip_derived_cl574]) ).
thf(dt_m2_lattice4,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_lattice4 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zip_derived_cl424,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_lattice4 @ X0 @ X1 )
| ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_lattice4]) ).
thf(zip_derived_cl11223,plain,
( ( v3_struct_0 @ sk__78 )
| ~ ( v10_lattices @ sk__78 )
| ~ ( l3_lattices @ sk__78 )
| ( m1_subset_1 @ sk__79 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__78 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6615,zip_derived_cl424]) ).
thf(zip_derived_cl572_005,plain,
~ ( v3_struct_0 @ sk__78 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl573_006,plain,
v10_lattices @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl574_007,plain,
l3_lattices @ sk__78,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11228,plain,
m1_subset_1 @ sk__79 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__78 ) ),
inference(demod,[status(thm)],[zip_derived_cl11223,zip_derived_cl572,zip_derived_cl573,zip_derived_cl574]) ).
thf(zip_derived_cl11234,plain,
sk__79 = k1_xboole_0,
inference(demod,[status(thm)],[zip_derived_cl6989,zip_derived_cl11228]) ).
thf(rc1_xboole_0,axiom,
? [A: $i] : ( v1_xboole_0 @ A ) ).
thf(zip_derived_cl9,plain,
v1_xboole_0 @ sk__3,
inference(cnf,[status(esa)],[rc1_xboole_0]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__7 @ X0 ) @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl9_008,plain,
v1_xboole_0 @ sk__3,
inference(cnf,[status(esa)],[rc1_xboole_0]) ).
thf(t8_boole,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ~ ( v1_xboole_0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t8_boole]) ).
thf(zip_derived_cl5900,plain,
! [X0: $i] :
( ( sk__3 = X0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] : ( v1_xboole_0 @ ( sk__7 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl5912,plain,
! [X0: $i] :
( sk__3
= ( sk__7 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5900,zip_derived_cl48]) ).
thf(zip_derived_cl6077,plain,
! [X0: $i] : ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl5912]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl6079,plain,
! [X0: $i] : ( r1_tarski @ sk__3 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6077,zip_derived_cl76]) ).
thf(t3_xboole_1,axiom,
! [A: $i] :
( ( r1_tarski @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( r1_tarski @ X0 @ k1_xboole_0 ) ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
thf(zip_derived_cl6321,plain,
sk__3 = k1_xboole_0,
inference('sup-',[status(thm)],[zip_derived_cl6079,zip_derived_cl18]) ).
thf(zip_derived_cl6343,plain,
v1_xboole_0 @ k1_xboole_0,
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl6321]) ).
thf(zip_derived_cl11258,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6256,zip_derived_cl11234,zip_derived_cl6343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT300+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.CQT9Q204I3 true
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 05:06:26 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.18/0.58 % Total configuration time : 435
% 0.18/0.58 % Estimated wc time : 1092
% 0.18/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 146.96/21.84 % Solved by fo/fo3_bce.sh.
% 146.96/21.84 % BCE start: 577
% 146.96/21.84 % BCE eliminated: 94
% 146.96/21.84 % PE start: 483
% 146.96/21.84 logic: eq
% 146.96/21.84 % PE eliminated: -7
% 146.96/21.84 % done 1738 iterations in 21.030s
% 146.96/21.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 146.96/21.84 % SZS output start Refutation
% See solution above
% 146.96/21.84
% 146.96/21.84
% 146.96/21.84 % Terminating...
% 147.14/21.97 % Runner terminated.
% 147.14/22.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------