TSTP Solution File: LAT310+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT310+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 04:29:21 EDT 2022
% Result : Theorem 17.37s 5.24s
% Output : CNFRefutation 17.37s
% 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_872,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_872) ).
cnf(i_0_3589,negated_conjecture,
m1_subset_1(esk574_0,k1_zfmisc_1(u1_struct_0(esk573_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3589) ).
cnf(i_0_3592,negated_conjecture,
v10_lattices(esk573_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3592) ).
cnf(i_0_3591,negated_conjecture,
l3_lattices(esk573_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3591) ).
cnf(i_0_3593,negated_conjecture,
~ v3_struct_0(esk573_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3593) ).
cnf(i_0_3590,negated_conjecture,
~ v1_xboole_0(esk574_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3590) ).
cnf(i_0_233,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X2,X3)
| X3 != k19_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_233) ).
cnf(i_0_4780,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_4780) ).
cnf(i_0_612,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk118_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_612) ).
cnf(i_0_232,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X3,X4)
| X3 != k19_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ m2_filter_2(X4,X1)
| ~ r1_tarski(X2,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_232) ).
cnf(i_0_980,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-2gtoy1kz/lgb.p',i_0_980) ).
cnf(i_0_985,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-2gtoy1kz/lgb.p',i_0_985) ).
cnf(i_0_981,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_981) ).
cnf(i_0_3585,negated_conjecture,
m1_subset_1(esk576_0,k1_zfmisc_1(u1_struct_0(esk573_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3585) ).
cnf(i_0_1812,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_1812) ).
cnf(i_0_3586,negated_conjecture,
~ v1_xboole_0(esk576_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3586) ).
cnf(i_0_2697,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_2697) ).
cnf(i_0_3584,negated_conjecture,
( r1_tarski(esk575_0,esk576_0)
| ~ r1_tarski(k19_filter_2(esk573_0,k19_filter_2(esk573_0,esk574_0)),k19_filter_2(esk573_0,esk574_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3584) ).
cnf(i_0_3583,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk573_0,esk575_0),k19_filter_2(esk573_0,esk576_0))
| ~ r1_tarski(k19_filter_2(esk573_0,k19_filter_2(esk573_0,esk574_0)),k19_filter_2(esk573_0,esk574_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3583) ).
cnf(i_0_3587,negated_conjecture,
m1_subset_1(esk575_0,k1_zfmisc_1(u1_struct_0(esk573_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3587) ).
cnf(i_0_3588,negated_conjecture,
~ v1_xboole_0(esk575_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2gtoy1kz/lgb.p',i_0_3588) ).
cnf(c_0_4802,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_872 ).
cnf(c_0_4803,negated_conjecture,
m1_subset_1(esk574_0,k1_zfmisc_1(u1_struct_0(esk573_0))),
i_0_3589 ).
cnf(c_0_4804,negated_conjecture,
v10_lattices(esk573_0),
i_0_3592 ).
cnf(c_0_4805,negated_conjecture,
l3_lattices(esk573_0),
i_0_3591 ).
cnf(c_0_4806,negated_conjecture,
~ v3_struct_0(esk573_0),
i_0_3593 ).
cnf(c_0_4807,negated_conjecture,
~ v1_xboole_0(esk574_0),
i_0_3590 ).
cnf(c_0_4808,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X2,X3)
| X3 != k19_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_233 ).
cnf(c_0_4809,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_4780 ).
cnf(c_0_4810,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk118_2(X1,X2),X1) ),
i_0_612 ).
cnf(c_0_4811,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X3,X4)
| X3 != k19_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ m2_filter_2(X4,X1)
| ~ r1_tarski(X2,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_232 ).
cnf(c_0_4812,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_980 ).
cnf(c_0_4813,negated_conjecture,
m2_filter_2(k19_filter_2(esk573_0,esk574_0),esk573_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_4802,c_0_4803]),c_0_4804]),c_0_4805])]),c_0_4806]),c_0_4807]) ).
cnf(c_0_4814,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_4808]),c_0_4802]) ).
cnf(c_0_4815,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_4809,c_0_4810]) ).
cnf(c_0_4816,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_4811]),c_0_4802]) ).
cnf(c_0_4817,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_985 ).
cnf(c_0_4818,plain,
m2_lattice4(k19_filter_2(esk573_0,esk574_0),esk573_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4812,c_0_4813]),c_0_4804]),c_0_4805])]),c_0_4806]) ).
cnf(c_0_4819,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_981 ).
cnf(c_0_4820,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_4814,c_0_4815]) ).
cnf(c_0_4821,negated_conjecture,
m1_subset_1(esk576_0,k1_zfmisc_1(u1_struct_0(esk573_0))),
i_0_3585 ).
cnf(c_0_4822,negated_conjecture,
( v1_xboole_0(X1)
| r1_tarski(k19_filter_2(esk573_0,X1),k19_filter_2(esk573_0,esk574_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk573_0)))
| ~ r1_tarski(X1,k19_filter_2(esk573_0,esk574_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4816,c_0_4813]),c_0_4804]),c_0_4805])]),c_0_4806]) ).
cnf(c_0_4823,plain,
m1_subset_1(k19_filter_2(esk573_0,esk574_0),k1_zfmisc_1(u1_struct_0(esk573_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4817,c_0_4818]),c_0_4804]),c_0_4805])]),c_0_4806]) ).
cnf(c_0_4824,plain,
r1_tarski(X1,X1),
i_0_1812 ).
cnf(c_0_4825,plain,
~ v1_xboole_0(k19_filter_2(esk573_0,esk574_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4819,c_0_4813]),c_0_4804]),c_0_4805])]),c_0_4806]) ).
cnf(c_0_4826,negated_conjecture,
~ v1_xboole_0(esk576_0),
i_0_3586 ).
cnf(c_0_4827,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_2697 ).
cnf(c_0_4828,negated_conjecture,
r1_tarski(esk576_0,k19_filter_2(esk573_0,esk576_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4820,c_0_4821]),c_0_4804]),c_0_4805])]),c_0_4806]) ).
cnf(c_0_4829,negated_conjecture,
( r1_tarski(esk575_0,esk576_0)
| ~ r1_tarski(k19_filter_2(esk573_0,k19_filter_2(esk573_0,esk574_0)),k19_filter_2(esk573_0,esk574_0)) ),
i_0_3584 ).
cnf(c_0_4830,plain,
r1_tarski(k19_filter_2(esk573_0,k19_filter_2(esk573_0,esk574_0)),k19_filter_2(esk573_0,esk574_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4822,c_0_4823]),c_0_4824])]),c_0_4825]) ).
cnf(c_0_4831,negated_conjecture,
m2_filter_2(k19_filter_2(esk573_0,esk576_0),esk573_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_4802,c_0_4821]),c_0_4804]),c_0_4805])]),c_0_4806]),c_0_4826]) ).
cnf(c_0_4832,plain,
( r1_tarski(X1,k19_filter_2(esk573_0,esk576_0))
| ~ r1_tarski(X1,esk576_0) ),
inference(spm,[status(thm)],[c_0_4827,c_0_4828]) ).
cnf(c_0_4833,negated_conjecture,
r1_tarski(esk575_0,esk576_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4829,c_0_4830])]) ).
cnf(c_0_4834,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk573_0,esk575_0),k19_filter_2(esk573_0,esk576_0))
| ~ r1_tarski(k19_filter_2(esk573_0,k19_filter_2(esk573_0,esk574_0)),k19_filter_2(esk573_0,esk574_0)) ),
i_0_3583 ).
cnf(c_0_4835,negated_conjecture,
( v1_xboole_0(X1)
| r1_tarski(k19_filter_2(esk573_0,X1),k19_filter_2(esk573_0,esk576_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk573_0)))
| ~ r1_tarski(X1,k19_filter_2(esk573_0,esk576_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4816,c_0_4831]),c_0_4804]),c_0_4805])]),c_0_4806]) ).
cnf(c_0_4836,negated_conjecture,
m1_subset_1(esk575_0,k1_zfmisc_1(u1_struct_0(esk573_0))),
i_0_3587 ).
cnf(c_0_4837,plain,
r1_tarski(esk575_0,k19_filter_2(esk573_0,esk576_0)),
inference(spm,[status(thm)],[c_0_4832,c_0_4833]) ).
cnf(c_0_4838,negated_conjecture,
~ v1_xboole_0(esk575_0),
i_0_3588 ).
cnf(c_0_4839,negated_conjecture,
~ r1_tarski(k19_filter_2(esk573_0,esk575_0),k19_filter_2(esk573_0,esk576_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4834,c_0_4830])]) ).
cnf(c_0_4840,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_4835,c_0_4836]),c_0_4837])]),c_0_4838]),c_0_4839]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT310+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 28 19:38:32 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.73/0.90 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.90 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.73/0.90 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.73/0.90 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.37/5.24 # ENIGMATIC: Solved by autoschedule-lgb:
% 17.37/5.24 # No SInE strategy applied
% 17.37/5.24 # Trying AutoSched0 for 149 seconds
% 17.37/5.24 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 17.37/5.24 # and selection function SelectCQIPrecWNTNp.
% 17.37/5.24 #
% 17.37/5.24 # Preprocessing time : 0.015 s
% 17.37/5.24 # Presaturation interreduction done
% 17.37/5.24
% 17.37/5.24 # Proof found!
% 17.37/5.24 # SZS status Theorem
% 17.37/5.24 # SZS output start CNFRefutation
% See solution above
% 17.37/5.24 # Training examples: 0 positive, 0 negative
% 17.37/5.24
% 17.37/5.24 # -------------------------------------------------
% 17.37/5.24 # User time : 0.785 s
% 17.37/5.24 # System time : 0.023 s
% 17.37/5.24 # Total time : 0.808 s
% 17.37/5.24 # Maximum resident set size: 7128 pages
% 17.37/5.24
%------------------------------------------------------------------------------