TSTP Solution File: LAT313+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT313+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 04:29:26 EDT 2022
% Result : Theorem 17.22s 7.77s
% Output : CNFRefutation 17.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of clauses : 51 ( 24 unt; 17 nHn; 47 RR)
% Number of literals : 132 ( 15 equ; 72 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1466,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-m8a5rcvm/lgb.p',i_0_1466) ).
cnf(i_0_5806,negated_conjecture,
m2_filter_2(esk843_0,esk842_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5806) ).
cnf(i_0_5808,negated_conjecture,
v10_lattices(esk842_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5808) ).
cnf(i_0_5807,negated_conjecture,
l3_lattices(esk842_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5807) ).
cnf(i_0_5809,negated_conjecture,
~ v3_struct_0(esk842_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5809) ).
cnf(i_0_1471,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-m8a5rcvm/lgb.p',i_0_1471) ).
cnf(i_0_7402,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_7402) ).
cnf(i_0_5804,negated_conjecture,
r2_hidden(k6_lattices(esk842_0),esk843_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5804) ).
cnf(i_0_5445,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5445) ).
cnf(i_0_149,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_149) ).
cnf(i_0_5755,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5755) ).
cnf(i_0_2671,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_2671) ).
cnf(i_0_5805,negated_conjecture,
v14_lattices(esk842_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5805) ).
cnf(i_0_5634,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5634) ).
cnf(i_0_2676,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_2676) ).
cnf(i_0_5803,negated_conjecture,
( u1_struct_0(esk842_0) != esk843_0
| ~ r1_filter_2(u1_struct_0(esk842_0),esk843_0,k17_filter_2(esk842_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_5803) ).
cnf(i_0_1259,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_1259) ).
cnf(i_0_2670,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8a5rcvm/lgb.p',i_0_2670) ).
cnf(c_0_7421,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_1466 ).
cnf(c_0_7422,negated_conjecture,
m2_filter_2(esk843_0,esk842_0),
i_0_5806 ).
cnf(c_0_7423,negated_conjecture,
v10_lattices(esk842_0),
i_0_5808 ).
cnf(c_0_7424,negated_conjecture,
l3_lattices(esk842_0),
i_0_5807 ).
cnf(c_0_7425,negated_conjecture,
~ v3_struct_0(esk842_0),
i_0_5809 ).
cnf(c_0_7426,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_1471 ).
cnf(c_0_7427,negated_conjecture,
m2_lattice4(esk843_0,esk842_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7421,c_0_7422]),c_0_7423]),c_0_7424])]),c_0_7425]) ).
cnf(c_0_7428,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_7402 ).
cnf(c_0_7429,negated_conjecture,
r2_hidden(k6_lattices(esk842_0),esk843_0),
i_0_5804 ).
cnf(c_0_7430,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_5445 ).
cnf(c_0_7431,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_149 ).
cnf(c_0_7432,negated_conjecture,
m1_subset_1(esk843_0,k1_zfmisc_1(u1_struct_0(esk842_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7426,c_0_7427]),c_0_7423]),c_0_7424])]),c_0_7425]) ).
cnf(c_0_7433,negated_conjecture,
~ v1_xboole_0(esk843_0),
inference(spm,[status(thm)],[c_0_7428,c_0_7429]) ).
cnf(c_0_7434,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_5755 ).
cnf(c_0_7435,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
i_0_2671 ).
cnf(c_0_7436,negated_conjecture,
r1_filter_2(u1_struct_0(esk842_0),k19_filter_2(esk842_0,esk843_0),esk843_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7430,c_0_7422]),c_0_7423]),c_0_7424])]),c_0_7425]) ).
cnf(c_0_7437,plain,
~ v1_xboole_0(u1_struct_0(esk842_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7431,c_0_7432]),c_0_7433]) ).
cnf(c_0_7438,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_7434,c_0_7428]) ).
cnf(c_0_7439,negated_conjecture,
v14_lattices(esk842_0),
i_0_5805 ).
cnf(c_0_7440,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_5634 ).
cnf(c_0_7441,plain,
r1_tarski(X1,X1),
i_0_2676 ).
cnf(c_0_7442,negated_conjecture,
( u1_struct_0(esk842_0) != esk843_0
| ~ r1_filter_2(u1_struct_0(esk842_0),esk843_0,k17_filter_2(esk842_0)) ),
i_0_5803 ).
cnf(c_0_7443,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_1259 ).
cnf(c_0_7444,plain,
( k19_filter_2(esk842_0,esk843_0) = esk843_0
| ~ m1_subset_1(k19_filter_2(esk842_0,esk843_0),k1_zfmisc_1(u1_struct_0(esk842_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7435,c_0_7436]),c_0_7432])]),c_0_7437]) ).
cnf(c_0_7445,negated_conjecture,
k19_filter_2(esk842_0,esk843_0) = u1_struct_0(esk842_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_7438,c_0_7429]),c_0_7439]),c_0_7423]),c_0_7424]),c_0_7432])]),c_0_7425]) ).
cnf(c_0_7446,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_7440,c_0_7441]) ).
cnf(c_0_7447,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_2670 ).
cnf(c_0_7448,negated_conjecture,
( u1_struct_0(esk842_0) != esk843_0
| ~ r1_filter_2(u1_struct_0(esk842_0),esk843_0,u1_struct_0(esk842_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7442,c_0_7443]),c_0_7423]),c_0_7424])]),c_0_7425]) ).
cnf(c_0_7449,plain,
u1_struct_0(esk842_0) = esk843_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7444,c_0_7445]),c_0_7445]),c_0_7446])]) ).
cnf(c_0_7450,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_7447]) ).
cnf(c_0_7451,negated_conjecture,
~ r1_filter_2(esk843_0,esk843_0,esk843_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7448,c_0_7449]),c_0_7449]),c_0_7449])]) ).
cnf(c_0_7452,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_7450,c_0_7446]) ).
cnf(c_0_7453,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7451,c_0_7452]),c_0_7433]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT313+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n026.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 : 600
% 0.13/0.35 % DateTime : Tue Jun 28 22:06:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 1.42/1.61 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/1.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.42/1.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.42/1.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.22/7.77 # ENIGMATIC: Solved by autoschedule-lgb:
% 17.22/7.77 # No SInE strategy applied
% 17.22/7.77 # Trying AutoSched0 for 148 seconds
% 17.22/7.77 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 17.22/7.77 # and selection function SelectCQIPrecWNTNp.
% 17.22/7.77 #
% 17.22/7.77 # Preprocessing time : 0.037 s
% 17.22/7.77 # Presaturation interreduction done
% 17.22/7.77
% 17.22/7.77 # Proof found!
% 17.22/7.77 # SZS status Theorem
% 17.22/7.77 # SZS output start CNFRefutation
% See solution above
% 17.22/7.78 # Training examples: 0 positive, 0 negative
% 17.22/7.78
% 17.22/7.78 # -------------------------------------------------
% 17.22/7.78 # User time : 0.165 s
% 17.22/7.78 # System time : 0.017 s
% 17.22/7.78 # Total time : 0.182 s
% 17.22/7.78 # Maximum resident set size: 7128 pages
% 17.22/7.78
%------------------------------------------------------------------------------