TSTP Solution File: LAT323+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT323+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 04:29:37 EDT 2022
% Result : Theorem 17.01s 6.65s
% Output : CNFRefutation 17.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 58 ( 23 unt; 22 nHn; 58 RR)
% Number of literals : 193 ( 13 equ; 113 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5624,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ r2_filter_2(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5624) ).
cnf(i_0_5665,negated_conjecture,
r2_filter_2(esk801_0,esk802_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5665) ).
cnf(i_0_5668,negated_conjecture,
v17_lattices(esk801_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5668) ).
cnf(i_0_5669,negated_conjecture,
v10_lattices(esk801_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5669) ).
cnf(i_0_5667,negated_conjecture,
l3_lattices(esk801_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5667) ).
cnf(i_0_5666,negated_conjecture,
m2_filter_2(esk802_0,esk801_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5666) ).
cnf(i_0_5670,negated_conjecture,
~ v3_struct_0(esk801_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5670) ).
cnf(i_0_1004,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_1004) ).
cnf(i_0_5664,negated_conjecture,
m1_subset_1(esk803_0,u1_struct_0(esk801_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5664) ).
cnf(i_0_5226,plain,
( k7_lattices(X1,k7_lattices(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5226) ).
cnf(i_0_211,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_211) ).
cnf(i_0_5335,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5335) ).
cnf(i_0_1058,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/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_1058) ).
cnf(i_0_1053,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_1053) ).
cnf(i_0_5663,negated_conjecture,
( r2_hidden(k7_lattices(esk801_0,esk803_0),esk802_0)
| ~ r2_hidden(esk803_0,esk802_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5663) ).
cnf(i_0_5662,negated_conjecture,
( r2_hidden(esk803_0,esk802_0)
| ~ r2_hidden(k7_lattices(esk801_0,esk803_0),esk802_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5662) ).
cnf(i_0_4984,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ r2_hidden(k6_lattices(X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_4984) ).
cnf(i_0_5177,plain,
( k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_5177) ).
cnf(i_0_147,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_147) ).
cnf(i_0_205,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_205) ).
cnf(i_0_3965,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h8ukghrj/lgb.p',i_0_3965) ).
cnf(c_0_5692,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ r2_filter_2(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_5624 ).
cnf(c_0_5693,negated_conjecture,
r2_filter_2(esk801_0,esk802_0),
i_0_5665 ).
cnf(c_0_5694,negated_conjecture,
v17_lattices(esk801_0),
i_0_5668 ).
cnf(c_0_5695,negated_conjecture,
v10_lattices(esk801_0),
i_0_5669 ).
cnf(c_0_5696,negated_conjecture,
l3_lattices(esk801_0),
i_0_5667 ).
cnf(c_0_5697,negated_conjecture,
m2_filter_2(esk802_0,esk801_0),
i_0_5666 ).
cnf(c_0_5698,negated_conjecture,
~ v3_struct_0(esk801_0),
i_0_5670 ).
cnf(c_0_5699,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1004 ).
cnf(c_0_5700,negated_conjecture,
m1_subset_1(esk803_0,u1_struct_0(esk801_0)),
i_0_5664 ).
cnf(c_0_5701,plain,
( k7_lattices(X1,k7_lattices(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_5226 ).
cnf(c_0_5702,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_211 ).
cnf(c_0_5703,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_5335 ).
cnf(c_0_5704,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_1058 ).
cnf(c_0_5705,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_1053 ).
cnf(c_0_5706,negated_conjecture,
( r2_hidden(k7_lattices(esk801_0,X1),esk802_0)
| r2_hidden(X1,esk802_0)
| ~ m1_subset_1(X1,u1_struct_0(esk801_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5692,c_0_5693]),c_0_5694]),c_0_5695]),c_0_5696]),c_0_5697])]),c_0_5698]) ).
cnf(c_0_5707,negated_conjecture,
m1_subset_1(k7_lattices(esk801_0,esk803_0),u1_struct_0(esk801_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5699,c_0_5700]),c_0_5696])]),c_0_5698]) ).
cnf(c_0_5708,negated_conjecture,
k7_lattices(esk801_0,k7_lattices(esk801_0,esk803_0)) = esk803_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_5701,c_0_5700]),c_0_5694]),c_0_5695]),c_0_5696])]),c_0_5698]) ).
cnf(c_0_5709,negated_conjecture,
( r2_hidden(k7_lattices(esk801_0,esk803_0),esk802_0)
| ~ r2_hidden(esk803_0,esk802_0) ),
i_0_5663 ).
cnf(c_0_5710,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ m2_lattice4(X4,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_5702,c_0_5703]),c_0_5703]),c_0_5704]) ).
cnf(c_0_5711,negated_conjecture,
m2_lattice4(esk802_0,esk801_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5705,c_0_5697]),c_0_5695]),c_0_5696])]),c_0_5698]) ).
cnf(c_0_5712,negated_conjecture,
( r2_hidden(esk803_0,esk802_0)
| ~ r2_hidden(k7_lattices(esk801_0,esk803_0),esk802_0) ),
i_0_5662 ).
cnf(c_0_5713,negated_conjecture,
r2_hidden(k7_lattices(esk801_0,esk803_0),esk802_0),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5706,c_0_5707]),c_0_5708]),c_0_5709]) ).
cnf(c_0_5714,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ r2_hidden(k6_lattices(X2),X1) ),
i_0_4984 ).
cnf(c_0_5715,negated_conjecture,
( r2_hidden(k3_lattices(esk801_0,X1,X2),esk802_0)
| ~ r2_hidden(X2,esk802_0)
| ~ r2_hidden(X1,esk802_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5710,c_0_5711]),c_0_5695]),c_0_5696])]),c_0_5698]) ).
cnf(c_0_5716,negated_conjecture,
r2_hidden(esk803_0,esk802_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5712,c_0_5713])]) ).
cnf(c_0_5717,plain,
( k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_5177 ).
cnf(c_0_5718,negated_conjecture,
( u1_struct_0(esk801_0) = esk802_0
| ~ v14_lattices(esk801_0)
| ~ r2_hidden(k6_lattices(esk801_0),esk802_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5714,c_0_5697]),c_0_5695]),c_0_5696])]),c_0_5698]) ).
cnf(c_0_5719,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_147 ).
cnf(c_0_5720,negated_conjecture,
( r2_hidden(k3_lattices(esk801_0,X1,esk803_0),esk802_0)
| ~ r2_hidden(X1,esk802_0) ),
inference(spm,[status(thm)],[c_0_5715,c_0_5716]) ).
cnf(c_0_5721,negated_conjecture,
k3_lattices(esk801_0,k7_lattices(esk801_0,esk803_0),esk803_0) = k6_lattices(esk801_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_5717,c_0_5700]),c_0_5694]),c_0_5695]),c_0_5696])]),c_0_5698]) ).
cnf(c_0_5722,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
i_0_205 ).
cnf(c_0_5723,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_3965 ).
cnf(c_0_5724,plain,
( u1_struct_0(esk801_0) = esk802_0
| ~ r2_hidden(k6_lattices(esk801_0),esk802_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5718,c_0_5719]),c_0_5694]),c_0_5696])]),c_0_5698]) ).
cnf(c_0_5725,negated_conjecture,
r2_hidden(k6_lattices(esk801_0),esk802_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5720,c_0_5713]),c_0_5721]) ).
cnf(c_0_5726,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_filter_2(X1,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5722]),c_0_5723]) ).
cnf(c_0_5727,plain,
u1_struct_0(esk801_0) = esk802_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5724,c_0_5725])]) ).
cnf(c_0_5728,plain,
$false,
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_5726,c_0_5727]),c_0_5695]),c_0_5696]),c_0_5693])]),c_0_5698]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT323+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 23:38:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 1.29/1.53 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/1.53 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.29/1.53 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.29/1.53 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.01/6.65 # ENIGMATIC: Solved by autoschedule-lgb:
% 17.01/6.65 # No SInE strategy applied
% 17.01/6.65 # Trying AutoSched0 for 149 seconds
% 17.01/6.65 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 17.01/6.65 # and selection function SelectCQIPrecWNTNp.
% 17.01/6.65 #
% 17.01/6.65 # Preprocessing time : 0.034 s
% 17.01/6.65 # Presaturation interreduction done
% 17.01/6.65
% 17.01/6.65 # Proof found!
% 17.01/6.65 # SZS status Theorem
% 17.01/6.65 # SZS output start CNFRefutation
% See solution above
% 17.01/6.65 # Training examples: 0 positive, 0 negative
% 17.01/6.65
% 17.01/6.65 # -------------------------------------------------
% 17.01/6.65 # User time : 0.753 s
% 17.01/6.65 # System time : 0.023 s
% 17.01/6.65 # Total time : 0.776 s
% 17.01/6.65 # Maximum resident set size: 7128 pages
% 17.01/6.65
%------------------------------------------------------------------------------