TSTP Solution File: SEU350+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU350+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RPw2Uhxj9K true
% Computer : n011.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 19:12:19 EDT 2023
% Result : Theorem 194.00s 28.74s
% Output : Refutation 194.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 30 unt; 13 typ; 0 def)
% Number of atoms : 125 ( 11 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 402 ( 49 ~; 46 |; 13 &; 280 @)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__423_type,type,
sk__423: $i ).
thf(cast_to_el_of_lattice_type,type,
cast_to_el_of_lattice: $i > $i > $i ).
thf(sk__422_type,type,
sk__422: $i ).
thf(sk__424_type,type,
sk__424: $i ).
thf(latt_str_type,type,
latt_str: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(relstr_set_smaller_type,type,
relstr_set_smaller: $i > $i > $i > $o ).
thf(latt_element_smaller_type,type,
latt_element_smaller: $i > $i > $i > $o ).
thf(lattice_type,type,
lattice: $i > $o ).
thf(poset_of_lattice_type,type,
poset_of_lattice: $i > $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(cast_to_el_of_LattPOSet_type,type,
cast_to_el_of_LattPOSet: $i > $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(t31_lattice3,conjecture,
! [A: $i,B: $i] :
( ( ~ ( empty_carrier @ B )
& ( lattice @ B )
& ( latt_str @ B ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ ( poset_of_lattice @ B ) ) )
=> ( ( relstr_set_smaller @ ( poset_of_lattice @ B ) @ A @ C )
<=> ( latt_element_smaller @ B @ ( cast_to_el_of_lattice @ B @ C ) @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ~ ( empty_carrier @ B )
& ( lattice @ B )
& ( latt_str @ B ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ ( poset_of_lattice @ B ) ) )
=> ( ( relstr_set_smaller @ ( poset_of_lattice @ B ) @ A @ C )
<=> ( latt_element_smaller @ B @ ( cast_to_el_of_lattice @ B @ C ) @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t31_lattice3]) ).
thf(zip_derived_cl1813,plain,
( ~ ( latt_element_smaller @ sk__423 @ ( cast_to_el_of_lattice @ sk__423 @ sk__424 ) @ sk__422 )
| ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ sk__422 @ sk__424 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1814,plain,
element @ sk__424 @ ( the_carrier @ ( poset_of_lattice @ sk__423 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_lattice3,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( lattice @ A )
& ( latt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ ( poset_of_lattice @ A ) ) )
=> ( ( cast_to_el_of_lattice @ A @ B )
= B ) ) ) ).
thf(zip_derived_cl366,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( the_carrier @ ( poset_of_lattice @ X1 ) ) )
| ( ( cast_to_el_of_lattice @ X1 @ X0 )
= X0 )
| ~ ( latt_str @ X1 )
| ~ ( lattice @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d4_lattice3]) ).
thf(zip_derived_cl25069,plain,
( ( empty_carrier @ sk__423 )
| ~ ( lattice @ sk__423 )
| ~ ( latt_str @ sk__423 )
| ( ( cast_to_el_of_lattice @ sk__423 @ sk__424 )
= sk__424 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl366]) ).
thf(zip_derived_cl1809,plain,
~ ( empty_carrier @ sk__423 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1810,plain,
lattice @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1811,plain,
latt_str @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25076,plain,
( ( cast_to_el_of_lattice @ sk__423 @ sk__424 )
= sk__424 ),
inference(demod,[status(thm)],[zip_derived_cl25069,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(zip_derived_cl25086,plain,
( ~ ( latt_element_smaller @ sk__423 @ sk__424 @ sk__422 )
| ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ sk__422 @ sk__424 ) ),
inference(demod,[status(thm)],[zip_derived_cl1813,zip_derived_cl25076]) ).
thf(zip_derived_cl1812,plain,
( ( latt_element_smaller @ sk__423 @ ( cast_to_el_of_lattice @ sk__423 @ sk__424 ) @ sk__422 )
| ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ sk__422 @ sk__424 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25076_001,plain,
( ( cast_to_el_of_lattice @ sk__423 @ sk__424 )
= sk__424 ),
inference(demod,[status(thm)],[zip_derived_cl25069,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(zip_derived_cl107832,plain,
( ( latt_element_smaller @ sk__423 @ sk__424 @ sk__422 )
| ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ sk__422 @ sk__424 ) ),
inference(demod,[status(thm)],[zip_derived_cl1812,zip_derived_cl25076]) ).
thf(zip_derived_cl1814_002,plain,
element @ sk__424 @ ( the_carrier @ ( poset_of_lattice @ sk__423 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k5_lattice3,axiom,
! [A: $i,B: $i] :
( ( ~ ( empty_carrier @ A )
& ( lattice @ A )
& ( latt_str @ A )
& ( element @ B @ ( the_carrier @ ( poset_of_lattice @ A ) ) ) )
=> ( element @ ( cast_to_el_of_lattice @ A @ B ) @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl570,plain,
! [X0: $i,X1: $i] :
( ~ ( latt_str @ X0 )
| ~ ( lattice @ X0 )
| ( empty_carrier @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ ( poset_of_lattice @ X0 ) ) )
| ( element @ ( cast_to_el_of_lattice @ X0 @ X1 ) @ ( the_carrier @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k5_lattice3]) ).
thf(zip_derived_cl41887,plain,
( ( element @ ( cast_to_el_of_lattice @ sk__423 @ sk__424 ) @ ( the_carrier @ sk__423 ) )
| ( empty_carrier @ sk__423 )
| ~ ( lattice @ sk__423 )
| ~ ( latt_str @ sk__423 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl570]) ).
thf(zip_derived_cl25076_003,plain,
( ( cast_to_el_of_lattice @ sk__423 @ sk__424 )
= sk__424 ),
inference(demod,[status(thm)],[zip_derived_cl25069,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(zip_derived_cl1809_004,plain,
~ ( empty_carrier @ sk__423 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1810_005,plain,
lattice @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1811_006,plain,
latt_str @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41894,plain,
element @ sk__424 @ ( the_carrier @ sk__423 ),
inference(demod,[status(thm)],[zip_derived_cl41887,zip_derived_cl25076,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(t30_lattice3,axiom,
! [A: $i,B: $i] :
( ( ~ ( empty_carrier @ B )
& ( lattice @ B )
& ( latt_str @ B ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ B ) )
=> ( ( latt_element_smaller @ B @ C @ A )
<=> ( relstr_set_smaller @ ( poset_of_lattice @ B ) @ A @ ( cast_to_el_of_LattPOSet @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl1803,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( latt_element_smaller @ X1 @ X0 @ X2 )
| ( relstr_set_smaller @ ( poset_of_lattice @ X1 ) @ X2 @ ( cast_to_el_of_LattPOSet @ X1 @ X0 ) )
| ~ ( latt_str @ X1 )
| ~ ( lattice @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[t30_lattice3]) ).
thf(zip_derived_cl107489,plain,
! [X0: $i] :
( ( empty_carrier @ sk__423 )
| ~ ( lattice @ sk__423 )
| ~ ( latt_str @ sk__423 )
| ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ X0 @ ( cast_to_el_of_LattPOSet @ sk__423 @ sk__424 ) )
| ~ ( latt_element_smaller @ sk__423 @ sk__424 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41894,zip_derived_cl1803]) ).
thf(zip_derived_cl1809_007,plain,
~ ( empty_carrier @ sk__423 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1810_008,plain,
lattice @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1811_009,plain,
latt_str @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41894_010,plain,
element @ sk__424 @ ( the_carrier @ sk__423 ),
inference(demod,[status(thm)],[zip_derived_cl41887,zip_derived_cl25076,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(d3_lattice3,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( lattice @ A )
& ( latt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ( ( cast_to_el_of_LattPOSet @ A @ B )
= B ) ) ) ).
thf(zip_derived_cl335,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( ( cast_to_el_of_LattPOSet @ X1 @ X0 )
= X0 )
| ~ ( latt_str @ X1 )
| ~ ( lattice @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattice3]) ).
thf(zip_derived_cl41991,plain,
( ( empty_carrier @ sk__423 )
| ~ ( lattice @ sk__423 )
| ~ ( latt_str @ sk__423 )
| ( ( cast_to_el_of_LattPOSet @ sk__423 @ sk__424 )
= sk__424 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41894,zip_derived_cl335]) ).
thf(zip_derived_cl1809_011,plain,
~ ( empty_carrier @ sk__423 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1810_012,plain,
lattice @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1811_013,plain,
latt_str @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42039,plain,
( ( cast_to_el_of_LattPOSet @ sk__423 @ sk__424 )
= sk__424 ),
inference(demod,[status(thm)],[zip_derived_cl41991,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(zip_derived_cl107512,plain,
! [X0: $i] :
( ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ X0 @ sk__424 )
| ~ ( latt_element_smaller @ sk__423 @ sk__424 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl107489,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811,zip_derived_cl42039]) ).
thf(zip_derived_cl107833,plain,
relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ sk__422 @ sk__424,
inference(clc,[status(thm)],[zip_derived_cl107832,zip_derived_cl107512]) ).
thf(zip_derived_cl107834,plain,
~ ( latt_element_smaller @ sk__423 @ sk__424 @ sk__422 ),
inference(demod,[status(thm)],[zip_derived_cl25086,zip_derived_cl107833]) ).
thf(zip_derived_cl107833_014,plain,
relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ sk__422 @ sk__424,
inference(clc,[status(thm)],[zip_derived_cl107832,zip_derived_cl107512]) ).
thf(zip_derived_cl42039_015,plain,
( ( cast_to_el_of_LattPOSet @ sk__423 @ sk__424 )
= sk__424 ),
inference(demod,[status(thm)],[zip_derived_cl41991,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(zip_derived_cl1804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( relstr_set_smaller @ ( poset_of_lattice @ X1 ) @ X2 @ ( cast_to_el_of_LattPOSet @ X1 @ X0 ) )
| ( latt_element_smaller @ X1 @ X0 @ X2 )
| ~ ( latt_str @ X1 )
| ~ ( lattice @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[t30_lattice3]) ).
thf(zip_derived_cl107602,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ X0 @ sk__424 )
| ( empty_carrier @ sk__423 )
| ~ ( lattice @ sk__423 )
| ~ ( latt_str @ sk__423 )
| ( latt_element_smaller @ sk__423 @ sk__424 @ X0 )
| ~ ( element @ sk__424 @ ( the_carrier @ sk__423 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42039,zip_derived_cl1804]) ).
thf(zip_derived_cl1809_016,plain,
~ ( empty_carrier @ sk__423 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1810_017,plain,
lattice @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1811_018,plain,
latt_str @ sk__423,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41894_019,plain,
element @ sk__424 @ ( the_carrier @ sk__423 ),
inference(demod,[status(thm)],[zip_derived_cl41887,zip_derived_cl25076,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811]) ).
thf(zip_derived_cl107605,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ ( poset_of_lattice @ sk__423 ) @ X0 @ sk__424 )
| ( latt_element_smaller @ sk__423 @ sk__424 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl107602,zip_derived_cl1809,zip_derived_cl1810,zip_derived_cl1811,zip_derived_cl41894]) ).
thf(zip_derived_cl107835,plain,
latt_element_smaller @ sk__423 @ sk__424 @ sk__422,
inference('sup-',[status(thm)],[zip_derived_cl107833,zip_derived_cl107605]) ).
thf(zip_derived_cl107850,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl107834,zip_derived_cl107835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU350+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RPw2Uhxj9K true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Wed Aug 23 17:43:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 194.00/28.74 % Solved by fo/fo5.sh.
% 194.00/28.74 % done 14886 iterations in 27.955s
% 194.00/28.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 194.00/28.74 % SZS output start Refutation
% See solution above
% 194.00/28.74
% 194.00/28.74
% 194.00/28.74 % Terminating...
% 194.77/28.82 % Runner terminated.
% 194.77/28.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------