TSTP Solution File: SEU371+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU371+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UKLR021kFN true
% Computer : n026.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 19:12:29 EDT 2023
% Result : Theorem 152.87s 22.42s
% Output : Refutation 152.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 40
% Syntax : Number of formulae : 65 ( 21 unt; 31 typ; 0 def)
% Number of atoms : 83 ( 22 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 244 ( 24 ~; 16 |; 30 &; 171 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(distributive_lattstr_type,type,
distributive_lattstr: $i > $o ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(complemented_lattstr_type,type,
complemented_lattstr: $i > $o ).
thf(join_of_latt_set_type,type,
join_of_latt_set: $i > $i > $i ).
thf(bottom_of_relstr_type,type,
bottom_of_relstr: $i > $i ).
thf(upper_bounded_semilattstr_type,type,
upper_bounded_semilattstr: $i > $o ).
thf(meet_of_latt_set_type,type,
meet_of_latt_set: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(complete_latt_str_type,type,
complete_latt_str: $i > $o ).
thf(boole_lattice_type,type,
boole_lattice: $i > $i ).
thf(join_on_relstr_type,type,
join_on_relstr: $i > $i > $i ).
thf(boolean_lattstr_type,type,
boolean_lattstr: $i > $o ).
thf(bottom_of_semilattstr_type,type,
bottom_of_semilattstr: $i > $i ).
thf(strict_rel_str_type,type,
strict_rel_str: $i > $o ).
thf(meet_absorbing_type,type,
meet_absorbing: $i > $o ).
thf(join_commutative_type,type,
join_commutative: $i > $o ).
thf(modular_lattstr_type,type,
modular_lattstr: $i > $o ).
thf(bounded_lattstr_type,type,
bounded_lattstr: $i > $o ).
thf(poset_of_lattice_type,type,
poset_of_lattice: $i > $i ).
thf(join_absorbing_type,type,
join_absorbing: $i > $o ).
thf(lattice_type,type,
lattice: $i > $o ).
thf(join_associative_type,type,
join_associative: $i > $o ).
thf(sk__470_type,type,
sk__470: $i ).
thf(meet_associative_type,type,
meet_associative: $i > $o ).
thf(meet_on_relstr_type,type,
meet_on_relstr: $i > $i > $i ).
thf(latt_str_type,type,
latt_str: $i > $o ).
thf(boole_POSet_type,type,
boole_POSet: $i > $i ).
thf(lower_bounded_semilattstr_type,type,
lower_bounded_semilattstr: $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(meet_commutative_type,type,
meet_commutative: $i > $o ).
thf(strict_latt_str_type,type,
strict_latt_str: $i > $o ).
thf(d11_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( ( bottom_of_relstr @ A )
= ( join_on_relstr @ A @ empty_set ) ) ) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ( ( bottom_of_relstr @ X0 )
= ( join_on_relstr @ X0 @ empty_set ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d11_yellow_0]) ).
thf(t18_yellow_1,conjecture,
! [A: $i] :
( ( bottom_of_relstr @ ( boole_POSet @ A ) )
= empty_set ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( bottom_of_relstr @ ( boole_POSet @ A ) )
= empty_set ),
inference('cnf.neg',[status(esa)],[t18_yellow_1]) ).
thf(zip_derived_cl2219,plain,
( ( bottom_of_relstr @ ( boole_POSet @ sk__470 ) )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20549,plain,
( ~ ( rel_str @ ( boole_POSet @ sk__470 ) )
| ( ( join_on_relstr @ ( boole_POSet @ sk__470 ) @ empty_set )
!= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl2219]) ).
thf(dt_k3_yellow_1,axiom,
! [A: $i] :
( ( rel_str @ ( boole_POSet @ A ) )
& ( strict_rel_str @ ( boole_POSet @ A ) ) ) ).
thf(zip_derived_cl747,plain,
! [X0: $i] : ( rel_str @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(zip_derived_cl20550,plain,
( ( join_on_relstr @ ( boole_POSet @ sk__470 ) @ empty_set )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl20549,zip_derived_cl747]) ).
thf(fc1_knaster,axiom,
! [A: $i] :
( ( complete_latt_str @ ( boole_lattice @ A ) )
& ( boolean_lattstr @ ( boole_lattice @ A ) )
& ( complemented_lattstr @ ( boole_lattice @ A ) )
& ( bounded_lattstr @ ( boole_lattice @ A ) )
& ( upper_bounded_semilattstr @ ( boole_lattice @ A ) )
& ( lower_bounded_semilattstr @ ( boole_lattice @ A ) )
& ( modular_lattstr @ ( boole_lattice @ A ) )
& ( distributive_lattstr @ ( boole_lattice @ A ) )
& ( lattice @ ( boole_lattice @ A ) )
& ( join_absorbing @ ( boole_lattice @ A ) )
& ( meet_absorbing @ ( boole_lattice @ A ) )
& ( meet_associative @ ( boole_lattice @ A ) )
& ( meet_commutative @ ( boole_lattice @ A ) )
& ( join_associative @ ( boole_lattice @ A ) )
& ( join_commutative @ ( boole_lattice @ A ) )
& ( strict_latt_str @ ( boole_lattice @ A ) )
& ~ ( empty_carrier @ ( boole_lattice @ A ) ) ) ).
thf(zip_derived_cl854,plain,
! [X0: $i] : ( complete_latt_str @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_knaster]) ).
thf(t29_yellow_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( lattice @ A )
& ( complete_latt_str @ A )
& ( latt_str @ A ) )
=> ! [B: $i] :
( ( ( meet_of_latt_set @ A @ B )
= ( meet_on_relstr @ ( poset_of_lattice @ A ) @ B ) )
& ( ( join_of_latt_set @ A @ B )
= ( join_on_relstr @ ( poset_of_lattice @ A ) @ B ) ) ) ) ).
thf(zip_derived_cl2297,plain,
! [X0: $i,X1: $i] :
( ( ( join_of_latt_set @ X0 @ X1 )
= ( join_on_relstr @ ( poset_of_lattice @ X0 ) @ X1 ) )
| ~ ( latt_str @ X0 )
| ~ ( complete_latt_str @ X0 )
| ~ ( lattice @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[t29_yellow_0]) ).
thf(zip_derived_cl18300,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ ( boole_lattice @ X0 ) )
| ~ ( lattice @ ( boole_lattice @ X0 ) )
| ~ ( latt_str @ ( boole_lattice @ X0 ) )
| ( ( join_of_latt_set @ ( boole_lattice @ X0 ) @ X1 )
= ( join_on_relstr @ ( poset_of_lattice @ ( boole_lattice @ X0 ) ) @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl854,zip_derived_cl2297]) ).
thf(zip_derived_cl838,plain,
! [X0: $i] :
~ ( empty_carrier @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_knaster]) ).
thf(zip_derived_cl846,plain,
! [X0: $i] : ( lattice @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_knaster]) ).
thf(dt_k1_lattice3,axiom,
! [A: $i] :
( ( latt_str @ ( boole_lattice @ A ) )
& ( strict_latt_str @ ( boole_lattice @ A ) ) ) ).
thf(zip_derived_cl691,plain,
! [X0: $i] : ( latt_str @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice3]) ).
thf(d2_yellow_1,axiom,
! [A: $i] :
( ( boole_POSet @ A )
= ( poset_of_lattice @ ( boole_lattice @ A ) ) ) ).
thf(zip_derived_cl431,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( poset_of_lattice @ ( boole_lattice @ X0 ) ) ),
inference(cnf,[status(esa)],[d2_yellow_1]) ).
thf(zip_derived_cl84777,plain,
! [X0: $i,X1: $i] :
( ( join_of_latt_set @ ( boole_lattice @ X0 ) @ X1 )
= ( join_on_relstr @ ( boole_POSet @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl18300,zip_derived_cl838,zip_derived_cl846,zip_derived_cl691,zip_derived_cl431]) ).
thf(zip_derived_cl84778,plain,
( ( join_of_latt_set @ ( boole_lattice @ sk__470 ) @ empty_set )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl20550,zip_derived_cl84777]) ).
thf(zip_derived_cl854_001,plain,
! [X0: $i] : ( complete_latt_str @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_knaster]) ).
thf(t50_lattice3,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( lattice @ A )
& ( complete_latt_str @ A )
& ( latt_str @ A ) )
=> ( ~ ( empty_carrier @ A )
& ( lattice @ A )
& ( lower_bounded_semilattstr @ A )
& ( latt_str @ A )
& ( ( bottom_of_semilattstr @ A )
= ( join_of_latt_set @ A @ empty_set ) ) ) ) ).
thf(zip_derived_cl2427,plain,
! [X0: $i] :
( ( ( bottom_of_semilattstr @ X0 )
= ( join_of_latt_set @ X0 @ empty_set ) )
| ~ ( latt_str @ X0 )
| ~ ( complete_latt_str @ X0 )
| ~ ( lattice @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[t50_lattice3]) ).
thf(zip_derived_cl18310,plain,
! [X0: $i] :
( ( empty_carrier @ ( boole_lattice @ X0 ) )
| ~ ( lattice @ ( boole_lattice @ X0 ) )
| ~ ( latt_str @ ( boole_lattice @ X0 ) )
| ( ( bottom_of_semilattstr @ ( boole_lattice @ X0 ) )
= ( join_of_latt_set @ ( boole_lattice @ X0 ) @ empty_set ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl854,zip_derived_cl2427]) ).
thf(zip_derived_cl838_002,plain,
! [X0: $i] :
~ ( empty_carrier @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_knaster]) ).
thf(zip_derived_cl846_003,plain,
! [X0: $i] : ( lattice @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_knaster]) ).
thf(zip_derived_cl691_004,plain,
! [X0: $i] : ( latt_str @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice3]) ).
thf(t3_lattice3,axiom,
! [A: $i] :
( ( ( bottom_of_semilattstr @ ( boole_lattice @ A ) )
= empty_set )
& ( lower_bounded_semilattstr @ ( boole_lattice @ A ) ) ) ).
thf(zip_derived_cl2366,plain,
! [X0: $i] :
( ( bottom_of_semilattstr @ ( boole_lattice @ X0 ) )
= empty_set ),
inference(cnf,[status(esa)],[t3_lattice3]) ).
thf(zip_derived_cl85242,plain,
! [X0: $i] :
( empty_set
= ( join_of_latt_set @ ( boole_lattice @ X0 ) @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl18310,zip_derived_cl838,zip_derived_cl846,zip_derived_cl691,zip_derived_cl2366]) ).
thf(zip_derived_cl85243,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl84778,zip_derived_cl85242]) ).
thf(zip_derived_cl85244,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl85243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU371+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UKLR021kFN true
% 0.13/0.34 % Computer : n026.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 : Wed Aug 23 16:14:31 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /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/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 152.87/22.42 % Solved by fo/fo6_bce.sh.
% 152.87/22.42 % BCE start: 2546
% 152.87/22.42 % BCE eliminated: 25
% 152.87/22.42 % PE start: 2521
% 152.87/22.42 logic: eq
% 152.87/22.42 % PE eliminated: 206
% 152.87/22.42 % done 6578 iterations in 21.658s
% 152.87/22.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 152.87/22.42 % SZS output start Refutation
% See solution above
% 152.87/22.42
% 152.87/22.42
% 152.87/22.42 % Terminating...
% 153.27/22.50 % Runner terminated.
% 153.27/22.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------