TSTP Solution File: LAT310+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT310+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 : Sun Jul 17 04:29:22 EDT 2022
% Result : Theorem 15.88s 6.00s
% Output : CNFRefutation 15.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 60 ( 31 unt; 17 nHn; 55 RR)
% Number of literals : 162 ( 4 equ; 91 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_699,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m2_filter_2(k19_filter_2(X2,X1),X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_699) ).
cnf(i_0_3780,negated_conjecture,
m1_subset_1(esk634_0,k1_zfmisc_1(u1_struct_0(esk633_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3780) ).
cnf(i_0_3783,negated_conjecture,
v10_lattices(esk633_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3783) ).
cnf(i_0_3782,negated_conjecture,
l3_lattices(esk633_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3782) ).
cnf(i_0_3784,negated_conjecture,
~ v3_struct_0(esk633_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3784) ).
cnf(i_0_3781,negated_conjecture,
~ v1_xboole_0(esk634_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3781) ).
cnf(i_0_189,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_tarski(X1,X3)
| X3 != k19_filter_2(X2,X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_189) ).
cnf(i_0_5212,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_5212) ).
cnf(i_0_489,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk90_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_489) ).
cnf(i_0_188,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_tarski(X3,X4)
| X3 != k19_filter_2(X2,X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X3,X2)
| ~ m2_filter_2(X4,X2)
| ~ r1_tarski(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_188) ).
cnf(i_0_787,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_787) ).
cnf(i_0_792,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_792) ).
cnf(i_0_788,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_788) ).
cnf(i_0_3776,negated_conjecture,
m1_subset_1(esk636_0,k1_zfmisc_1(u1_struct_0(esk633_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3776) ).
cnf(i_0_1427,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_1427) ).
cnf(i_0_3777,negated_conjecture,
~ v1_xboole_0(esk636_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3777) ).
cnf(i_0_2574,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_2574) ).
cnf(i_0_3775,negated_conjecture,
( r1_tarski(esk635_0,esk636_0)
| ~ r1_tarski(k19_filter_2(esk633_0,k19_filter_2(esk633_0,esk634_0)),k19_filter_2(esk633_0,esk634_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3775) ).
cnf(i_0_3774,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk633_0,esk635_0),k19_filter_2(esk633_0,esk636_0))
| ~ r1_tarski(k19_filter_2(esk633_0,k19_filter_2(esk633_0,esk634_0)),k19_filter_2(esk633_0,esk634_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3774) ).
cnf(i_0_3778,negated_conjecture,
m1_subset_1(esk635_0,k1_zfmisc_1(u1_struct_0(esk633_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3778) ).
cnf(i_0_3779,negated_conjecture,
~ v1_xboole_0(esk635_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7ivcwa9o/lgb.p',i_0_3779) ).
cnf(c_0_5234,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m2_filter_2(k19_filter_2(X2,X1),X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_699 ).
cnf(c_0_5235,negated_conjecture,
m1_subset_1(esk634_0,k1_zfmisc_1(u1_struct_0(esk633_0))),
i_0_3780 ).
cnf(c_0_5236,negated_conjecture,
v10_lattices(esk633_0),
i_0_3783 ).
cnf(c_0_5237,negated_conjecture,
l3_lattices(esk633_0),
i_0_3782 ).
cnf(c_0_5238,negated_conjecture,
~ v3_struct_0(esk633_0),
i_0_3784 ).
cnf(c_0_5239,negated_conjecture,
~ v1_xboole_0(esk634_0),
i_0_3781 ).
cnf(c_0_5240,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_tarski(X1,X3)
| X3 != k19_filter_2(X2,X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_189 ).
cnf(c_0_5241,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_5212 ).
cnf(c_0_5242,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk90_2(X1,X2),X1) ),
i_0_489 ).
cnf(c_0_5243,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_tarski(X3,X4)
| X3 != k19_filter_2(X2,X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X3,X2)
| ~ m2_filter_2(X4,X2)
| ~ r1_tarski(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_188 ).
cnf(c_0_5244,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_787 ).
cnf(c_0_5245,negated_conjecture,
m2_filter_2(k19_filter_2(esk633_0,esk634_0),esk633_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5234,c_0_5235]),c_0_5236]),c_0_5237])]),c_0_5238]),c_0_5239]) ).
cnf(c_0_5246,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X2,k19_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5240]),c_0_5234]) ).
cnf(c_0_5247,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_5241,c_0_5242]) ).
cnf(c_0_5248,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(k19_filter_2(X1,X2),X3)
| ~ m2_filter_2(X3,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5243]),c_0_5234]) ).
cnf(c_0_5249,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_792 ).
cnf(c_0_5250,plain,
m2_lattice4(k19_filter_2(esk633_0,esk634_0),esk633_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5244,c_0_5245]),c_0_5236]),c_0_5237])]),c_0_5238]) ).
cnf(c_0_5251,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_788 ).
cnf(c_0_5252,plain,
( v3_struct_0(X1)
| r1_tarski(X2,k19_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[c_0_5246,c_0_5247]) ).
cnf(c_0_5253,negated_conjecture,
m1_subset_1(esk636_0,k1_zfmisc_1(u1_struct_0(esk633_0))),
i_0_3776 ).
cnf(c_0_5254,negated_conjecture,
( v1_xboole_0(X1)
| r1_tarski(k19_filter_2(esk633_0,X1),k19_filter_2(esk633_0,esk634_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk633_0)))
| ~ r1_tarski(X1,k19_filter_2(esk633_0,esk634_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5248,c_0_5245]),c_0_5236]),c_0_5237])]),c_0_5238]) ).
cnf(c_0_5255,plain,
m1_subset_1(k19_filter_2(esk633_0,esk634_0),k1_zfmisc_1(u1_struct_0(esk633_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5249,c_0_5250]),c_0_5236]),c_0_5237])]),c_0_5238]) ).
cnf(c_0_5256,plain,
r1_tarski(X1,X1),
i_0_1427 ).
cnf(c_0_5257,plain,
~ v1_xboole_0(k19_filter_2(esk633_0,esk634_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5251,c_0_5245]),c_0_5236]),c_0_5237])]),c_0_5238]) ).
cnf(c_0_5258,negated_conjecture,
~ v1_xboole_0(esk636_0),
i_0_3777 ).
cnf(c_0_5259,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_2574 ).
cnf(c_0_5260,negated_conjecture,
r1_tarski(esk636_0,k19_filter_2(esk633_0,esk636_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5252,c_0_5253]),c_0_5236]),c_0_5237])]),c_0_5238]) ).
cnf(c_0_5261,negated_conjecture,
( r1_tarski(esk635_0,esk636_0)
| ~ r1_tarski(k19_filter_2(esk633_0,k19_filter_2(esk633_0,esk634_0)),k19_filter_2(esk633_0,esk634_0)) ),
i_0_3775 ).
cnf(c_0_5262,plain,
r1_tarski(k19_filter_2(esk633_0,k19_filter_2(esk633_0,esk634_0)),k19_filter_2(esk633_0,esk634_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5254,c_0_5255]),c_0_5256])]),c_0_5257]) ).
cnf(c_0_5263,negated_conjecture,
m2_filter_2(k19_filter_2(esk633_0,esk636_0),esk633_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5234,c_0_5253]),c_0_5236]),c_0_5237])]),c_0_5238]),c_0_5258]) ).
cnf(c_0_5264,plain,
( r1_tarski(X1,k19_filter_2(esk633_0,esk636_0))
| ~ r1_tarski(X1,esk636_0) ),
inference(spm,[status(thm)],[c_0_5259,c_0_5260]) ).
cnf(c_0_5265,negated_conjecture,
r1_tarski(esk635_0,esk636_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5261,c_0_5262])]) ).
cnf(c_0_5266,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk633_0,esk635_0),k19_filter_2(esk633_0,esk636_0))
| ~ r1_tarski(k19_filter_2(esk633_0,k19_filter_2(esk633_0,esk634_0)),k19_filter_2(esk633_0,esk634_0)) ),
i_0_3774 ).
cnf(c_0_5267,negated_conjecture,
( v1_xboole_0(X1)
| r1_tarski(k19_filter_2(esk633_0,X1),k19_filter_2(esk633_0,esk636_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk633_0)))
| ~ r1_tarski(X1,k19_filter_2(esk633_0,esk636_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5248,c_0_5263]),c_0_5236]),c_0_5237])]),c_0_5238]) ).
cnf(c_0_5268,negated_conjecture,
m1_subset_1(esk635_0,k1_zfmisc_1(u1_struct_0(esk633_0))),
i_0_3778 ).
cnf(c_0_5269,plain,
r1_tarski(esk635_0,k19_filter_2(esk633_0,esk636_0)),
inference(spm,[status(thm)],[c_0_5264,c_0_5265]) ).
cnf(c_0_5270,negated_conjecture,
~ v1_xboole_0(esk635_0),
i_0_3779 ).
cnf(c_0_5271,negated_conjecture,
~ r1_tarski(k19_filter_2(esk633_0,esk635_0),k19_filter_2(esk633_0,esk636_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5266,c_0_5262])]) ).
cnf(c_0_5272,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5267,c_0_5268]),c_0_5269])]),c_0_5270]),c_0_5271]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LAT310+4 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.09 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Wed Jun 29 15:04:34 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 # ENIGMATIC: Selected SinE mode:
% 1.34/1.54 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.34/1.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.34/1.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.34/1.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 15.88/6.00 # ENIGMATIC: Solved by autoschedule-lgb:
% 15.88/6.00 # No SInE strategy applied
% 15.88/6.00 # Trying AutoSched0 for 149 seconds
% 15.88/6.00 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 15.88/6.00 # and selection function SelectCQIPrecWNTNp.
% 15.88/6.00 #
% 15.88/6.00 # Preprocessing time : 0.031 s
% 15.88/6.00 # Presaturation interreduction done
% 15.88/6.00
% 15.88/6.00 # Proof found!
% 15.88/6.00 # SZS status Theorem
% 15.88/6.00 # SZS output start CNFRefutation
% See solution above
% 15.88/6.00 # Training examples: 0 positive, 0 negative
% 15.88/6.00
% 15.88/6.00 # -------------------------------------------------
% 15.88/6.00 # User time : 0.550 s
% 15.88/6.00 # System time : 0.019 s
% 15.88/6.00 # Total time : 0.569 s
% 15.88/6.00 # Maximum resident set size: 7124 pages
% 15.88/6.00
%------------------------------------------------------------------------------