TSTP Solution File: SEU348+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU348+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 : 600s
% DateTime : Tue Jul 19 08:41:03 EDT 2022
% Result : Theorem 10.78s 3.60s
% Output : CNFRefutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 14 unt; 13 nHn; 32 RR)
% Number of literals : 84 ( 6 equ; 45 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_344,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_344) ).
cnf(i_0_2412,negated_conjecture,
element(esk410_0,the_carrier(poset_of_lattice(esk409_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2412) ).
cnf(i_0_2414,negated_conjecture,
lattice(esk409_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2414) ).
cnf(i_0_2413,negated_conjecture,
latt_str(esk409_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2413) ).
cnf(i_0_2415,negated_conjecture,
~ empty_carrier(esk409_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2415) ).
cnf(i_0_522,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_522) ).
cnf(i_0_313,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_313) ).
cnf(i_0_2400,lemma,
( empty_carrier(X1)
| relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_set_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2400) ).
cnf(i_0_2410,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk409_0),esk408_0,esk410_0)
| latt_set_smaller(esk409_0,cast_to_el_of_lattice(esk409_0,esk410_0),esk408_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2410) ).
cnf(i_0_2411,negated_conjecture,
( ~ relstr_element_smaller(poset_of_lattice(esk409_0),esk408_0,esk410_0)
| ~ latt_set_smaller(esk409_0,cast_to_el_of_lattice(esk409_0,esk410_0),esk408_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2411) ).
cnf(i_0_2399,lemma,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tbpcd11f/lgb.p',i_0_2399) ).
cnf(c_0_2427,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_344 ).
cnf(c_0_2428,negated_conjecture,
element(esk410_0,the_carrier(poset_of_lattice(esk409_0))),
i_0_2412 ).
cnf(c_0_2429,negated_conjecture,
lattice(esk409_0),
i_0_2414 ).
cnf(c_0_2430,negated_conjecture,
latt_str(esk409_0),
i_0_2413 ).
cnf(c_0_2431,negated_conjecture,
~ empty_carrier(esk409_0),
i_0_2415 ).
cnf(c_0_2432,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_522 ).
cnf(c_0_2433,negated_conjecture,
cast_to_el_of_lattice(esk409_0,esk410_0) = esk410_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2427,c_0_2428]),c_0_2429]),c_0_2430])]),c_0_2431]) ).
cnf(c_0_2434,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_313 ).
cnf(c_0_2435,negated_conjecture,
element(esk410_0,the_carrier(esk409_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2432,c_0_2428]),c_0_2429]),c_0_2430])]),c_0_2431]),c_0_2433]) ).
cnf(c_0_2436,lemma,
( empty_carrier(X1)
| relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_set_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_2400 ).
cnf(c_0_2437,plain,
cast_to_el_of_LattPOSet(esk409_0,esk410_0) = esk410_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2434,c_0_2435]),c_0_2429]),c_0_2430])]),c_0_2431]) ).
cnf(c_0_2438,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk409_0),esk408_0,esk410_0)
| latt_set_smaller(esk409_0,cast_to_el_of_lattice(esk409_0,esk410_0),esk408_0) ),
i_0_2410 ).
cnf(c_0_2439,negated_conjecture,
( ~ relstr_element_smaller(poset_of_lattice(esk409_0),esk408_0,esk410_0)
| ~ latt_set_smaller(esk409_0,cast_to_el_of_lattice(esk409_0,esk410_0),esk408_0) ),
i_0_2411 ).
cnf(c_0_2440,lemma,
( relstr_element_smaller(poset_of_lattice(esk409_0),X1,esk410_0)
| ~ latt_set_smaller(esk409_0,esk410_0,X1) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2436,c_0_2435]),c_0_2429]),c_0_2430])]),c_0_2431]),c_0_2437]) ).
cnf(c_0_2441,negated_conjecture,
( latt_set_smaller(esk409_0,esk410_0,esk408_0)
| relstr_element_smaller(poset_of_lattice(esk409_0),esk408_0,esk410_0) ),
inference(rw,[status(thm)],[c_0_2438,c_0_2433]) ).
cnf(c_0_2442,lemma,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
i_0_2399 ).
cnf(c_0_2443,negated_conjecture,
( ~ latt_set_smaller(esk409_0,esk410_0,esk408_0)
| ~ relstr_element_smaller(poset_of_lattice(esk409_0),esk408_0,esk410_0) ),
inference(rw,[status(thm)],[c_0_2439,c_0_2433]) ).
cnf(c_0_2444,negated_conjecture,
relstr_element_smaller(poset_of_lattice(esk409_0),esk408_0,esk410_0),
inference(spm,[status(thm)],[c_0_2440,c_0_2441]) ).
cnf(c_0_2445,lemma,
( latt_set_smaller(esk409_0,esk410_0,X1)
| ~ relstr_element_smaller(poset_of_lattice(esk409_0),X1,esk410_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2442,c_0_2437]),c_0_2429]),c_0_2430]),c_0_2435])]),c_0_2431]) ).
cnf(c_0_2446,negated_conjecture,
~ latt_set_smaller(esk409_0,esk410_0,esk408_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2443,c_0_2444])]) ).
cnf(c_0_2447,lemma,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2445,c_0_2444]),c_0_2446]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU348+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n016.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 : 600
% 0.14/0.36 % DateTime : Sun Jun 19 00:03:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 # ENIGMATIC: Selected SinE mode:
% 0.22/0.52 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.22/0.52 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.22/0.52 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.78/3.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.78/3.60 # No SInE strategy applied
% 10.78/3.60 # Trying AutoSched0 for 150 seconds
% 10.78/3.60 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 10.78/3.60 # and selection function SelectComplexG.
% 10.78/3.60 #
% 10.78/3.60 # Preprocessing time : 0.016 s
% 10.78/3.60
% 10.78/3.60 # Proof found!
% 10.78/3.60 # SZS status Theorem
% 10.78/3.60 # SZS output start CNFRefutation
% See solution above
% 10.78/3.60 # Training examples: 0 positive, 0 negative
% 10.78/3.60
% 10.78/3.60 # -------------------------------------------------
% 10.78/3.60 # User time : 0.026 s
% 10.78/3.60 # System time : 0.005 s
% 10.78/3.60 # Total time : 0.031 s
% 10.78/3.60 # Maximum resident set size: 7124 pages
% 10.78/3.60
%------------------------------------------------------------------------------