TSTP Solution File: SEU344+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU344+1 : 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.flQSlUCMCv true
% Computer : n019.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 19:12:16 EDT 2023
% Result : Theorem 0.21s 0.84s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 66 ( 17 unt; 17 typ; 0 def)
% Number of atoms : 136 ( 45 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 516 ( 68 ~; 68 |; 5 &; 361 @)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 4 con; 0-3 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(latt_str_type,type,
latt_str: $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(boole_lattice_type,type,
boole_lattice: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(join_semilatt_str_type,type,
join_semilatt_str: $i > $o ).
thf(strict_latt_str_type,type,
strict_latt_str: $i > $o ).
thf(below_type,type,
below: $i > $i > $i > $o ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(meet_type,type,
meet: $i > $i > $i > $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(join_type,type,
join: $i > $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(meet_semilatt_str_type,type,
meet_semilatt_str: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( latt_str @ A )
=> ( ( meet_semilatt_str @ A )
& ( join_semilatt_str @ A ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( join_semilatt_str @ X0 )
| ~ ( latt_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(t2_lattice3,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( the_carrier @ ( boole_lattice @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ ( boole_lattice @ A ) ) )
=> ( ( below @ ( boole_lattice @ A ) @ B @ C )
<=> ( subset @ B @ C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( element @ B @ ( the_carrier @ ( boole_lattice @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ ( boole_lattice @ A ) ) )
=> ( ( below @ ( boole_lattice @ A ) @ B @ C )
<=> ( subset @ B @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[t2_lattice3]) ).
thf(zip_derived_cl64,plain,
( ( subset @ sk__13 @ sk__14 )
| ( below @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_lattices,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_semilatt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( below @ A @ B @ C )
<=> ( ( join @ A @ B @ C )
= C ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( below @ X1 @ X0 @ X2 )
| ( ( join @ X1 @ X0 @ X2 )
= X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl283,plain,
( ( subset @ sk__13 @ sk__14 )
| ( empty_carrier @ ( boole_lattice @ sk__12 ) )
| ~ ( join_semilatt_str @ ( boole_lattice @ sk__12 ) )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
= sk__14 )
| ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl5]) ).
thf(t12_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_union2 @ A @ B )
= B ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ X1 @ X0 )
= X0 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[t12_xboole_1]) ).
thf(zip_derived_cl316,plain,
( ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
= sk__14 )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ~ ( join_semilatt_str @ ( boole_lattice @ sk__12 ) )
| ( empty_carrier @ ( boole_lattice @ sk__12 ) )
| ( ( set_union2 @ sk__13 @ sk__14 )
= sk__14 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl283,zip_derived_cl52]) ).
thf(zip_derived_cl330,plain,
( ~ ( latt_str @ ( boole_lattice @ sk__12 ) )
| ( ( set_union2 @ sk__13 @ sk__14 )
= sk__14 )
| ( empty_carrier @ ( boole_lattice @ sk__12 ) )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
= sk__14 )
| ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl316]) ).
thf(dt_k1_lattice3,axiom,
! [A: $i] :
( ( latt_str @ ( boole_lattice @ A ) )
& ( strict_latt_str @ ( boole_lattice @ A ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] : ( latt_str @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice3]) ).
thf(fc1_lattice3,axiom,
! [A: $i] :
( ( strict_latt_str @ ( boole_lattice @ A ) )
& ~ ( empty_carrier @ ( boole_lattice @ A ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
~ ( empty_carrier @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_lattice3]) ).
thf(zip_derived_cl66,plain,
element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl874,plain,
( ( ( set_union2 @ sk__13 @ sk__14 )
= sk__14 )
| ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
= sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl10,zip_derived_cl25,zip_derived_cl66,zip_derived_cl63]) ).
thf(t1_lattice3,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( the_carrier @ ( boole_lattice @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ ( boole_lattice @ A ) ) )
=> ( ( ( join @ ( boole_lattice @ A ) @ B @ C )
= ( set_union2 @ B @ C ) )
& ( ( meet @ ( boole_lattice @ A ) @ B @ C )
= ( set_intersection2 @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ ( boole_lattice @ X1 ) ) )
| ( ( join @ ( boole_lattice @ X1 ) @ X2 @ X0 )
= ( set_union2 @ X2 @ X0 ) )
| ~ ( element @ X2 @ ( the_carrier @ ( boole_lattice @ X1 ) ) ) ),
inference(cnf,[status(esa)],[t1_lattice3]) ).
thf(zip_derived_cl876,plain,
( ( sk__14
= ( set_union2 @ sk__13 @ sk__14 ) )
| ( ( set_union2 @ sk__13 @ sk__14 )
= sk__14 )
| ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl874,zip_derived_cl55]) ).
thf(zip_derived_cl63_001,plain,
element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66_002,plain,
element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl880,plain,
( ( sk__14
= ( set_union2 @ sk__13 @ sk__14 ) )
| ( ( set_union2 @ sk__13 @ sk__14 )
= sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl876,zip_derived_cl63,zip_derived_cl66]) ).
thf(zip_derived_cl881,plain,
( sk__14
= ( set_union2 @ sk__13 @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl880]) ).
thf(zip_derived_cl55_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ ( boole_lattice @ X1 ) ) )
| ( ( join @ ( boole_lattice @ X1 ) @ X2 @ X0 )
= ( set_union2 @ X2 @ X0 ) )
| ~ ( element @ X2 @ ( the_carrier @ ( boole_lattice @ X1 ) ) ) ),
inference(cnf,[status(esa)],[t1_lattice3]) ).
thf(zip_derived_cl16_004,plain,
! [X0: $i] :
( ( join_semilatt_str @ X0 )
| ~ ( latt_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(t7_xboole_1,axiom,
! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( ( join @ X1 @ X0 @ X2 )
!= X2 )
| ( below @ X1 @ X0 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl65,plain,
( ~ ( subset @ sk__13 @ sk__14 )
| ~ ( below @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl282,plain,
( ( empty_carrier @ ( boole_lattice @ sk__12 ) )
| ~ ( join_semilatt_str @ ( boole_lattice @ sk__12 ) )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
!= sk__14 )
| ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ~ ( subset @ sk__13 @ sk__14 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl65]) ).
thf(zip_derived_cl315,plain,
! [X0: $i,X1: $i] :
( ( X1 != sk__13 )
| ( ( set_union2 @ X1 @ X0 )
!= sk__14 )
| ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
!= sk__14 )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ~ ( join_semilatt_str @ ( boole_lattice @ sk__12 ) )
| ( empty_carrier @ ( boole_lattice @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl282]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i] :
( ~ ( latt_str @ ( boole_lattice @ sk__12 ) )
| ( empty_carrier @ ( boole_lattice @ sk__12 ) )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
!= sk__14 )
| ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( ( set_union2 @ X0 @ X1 )
!= sk__14 )
| ( X0 != sk__13 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl315]) ).
thf(zip_derived_cl10_005,plain,
! [X0: $i] : ( latt_str @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice3]) ).
thf(zip_derived_cl25_006,plain,
! [X0: $i] :
~ ( empty_carrier @ ( boole_lattice @ X0 ) ),
inference(cnf,[status(esa)],[fc1_lattice3]) ).
thf(zip_derived_cl66_007,plain,
element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_008,plain,
element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl836,plain,
! [X0: $i,X1: $i] :
( ( ( join @ ( boole_lattice @ sk__12 ) @ sk__13 @ sk__14 )
!= sk__14 )
| ( ( set_union2 @ X0 @ X1 )
!= sk__14 )
| ( X0 != sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl10,zip_derived_cl25,zip_derived_cl66,zip_derived_cl63]) ).
thf(zip_derived_cl837,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ sk__13 @ sk__14 )
!= sk__14 )
| ~ ( element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ~ ( element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ) )
| ( X0 != sk__13 )
| ( ( set_union2 @ X0 @ X1 )
!= sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl836]) ).
thf(zip_derived_cl63_009,plain,
element @ sk__13 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66_010,plain,
element @ sk__14 @ ( the_carrier @ ( boole_lattice @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl838,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ sk__13 @ sk__14 )
!= sk__14 )
| ( X0 != sk__13 )
| ( ( set_union2 @ X0 @ X1 )
!= sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl837,zip_derived_cl63,zip_derived_cl66]) ).
thf(zip_derived_cl881_011,plain,
( sk__14
= ( set_union2 @ sk__13 @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl880]) ).
thf(zip_derived_cl886,plain,
! [X0: $i,X1: $i] :
( ( sk__14 != sk__14 )
| ( X0 != sk__13 )
| ( ( set_union2 @ X0 @ X1 )
!= sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl838,zip_derived_cl881]) ).
thf(zip_derived_cl887,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ X0 @ X1 )
!= sk__14 )
| ( X0 != sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl886]) ).
thf(zip_derived_cl904,plain,
( ( sk__14 != sk__14 )
| ( sk__13 != sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl881,zip_derived_cl887]) ).
thf(zip_derived_cl905,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl904]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU344+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.flQSlUCMCv true
% 0.13/0.34 % Computer : n019.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 00:47:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_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/fo6_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.84 % Solved by fo/fo3_bce.sh.
% 0.21/0.84 % BCE start: 67
% 0.21/0.84 % BCE eliminated: 8
% 0.21/0.84 % PE start: 59
% 0.21/0.84 logic: eq
% 0.21/0.84 % PE eliminated: -12
% 0.21/0.84 % done 119 iterations in 0.059s
% 0.21/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.84 % SZS output start Refutation
% See solution above
% 0.21/0.84
% 0.21/0.84
% 0.21/0.84 % Terminating...
% 1.66/0.87 % Runner terminated.
% 1.66/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------