TSTP Solution File: LAT306+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT306+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 04:29:17 EDT 2022
% Result : Theorem 84.75s 15.36s
% Output : CNFRefutation 84.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of clauses : 106 ( 28 unt; 42 nHn; 106 RR)
% Number of literals : 307 ( 34 equ; 169 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1139,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_1139) ).
cnf(i_0_1141,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_1141) ).
cnf(i_0_466,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_466) ).
cnf(i_0_2889,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_2889) ).
cnf(i_0_4119,negated_conjecture,
l3_lattices(esk707_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_4119) ).
cnf(i_0_4121,negated_conjecture,
~ v3_struct_0(esk707_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_4121) ).
cnf(i_0_1001,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_1001) ).
cnf(i_0_2639,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_2639) ).
cnf(i_0_4120,negated_conjecture,
v10_lattices(esk707_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_4120) ).
cnf(i_0_467,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_467) ).
cnf(i_0_1279,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_1279) ).
cnf(i_0_2344,plain,
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_2344) ).
cnf(i_0_4118,negated_conjecture,
v14_lattices(esk707_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_4118) ).
cnf(i_0_3116,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_3116) ).
cnf(i_0_1509,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_1509) ).
cnf(i_0_676,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_676) ).
cnf(i_0_993,plain,
( v3_struct_0(X1)
| m2_filter_2(k18_filter_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_993) ).
cnf(i_0_990,plain,
( v3_struct_0(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_990) ).
cnf(i_0_5682,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_5682) ).
cnf(i_0_6132,plain,
( k5_lattices(k1_lattice2(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_6132) ).
cnf(i_0_4017,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_4017) ).
cnf(i_0_2020,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_2020) ).
cnf(i_0_3213,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_3213) ).
cnf(i_0_1161,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-ukfwka91/lgb.p',i_0_1161) ).
cnf(i_0_901,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_901) ).
cnf(i_0_3155,plain,
( k2_filter_0(X1,k5_lattices(X1)) = k1_filter_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_3155) ).
cnf(i_0_2039,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_2039) ).
cnf(i_0_5623,plain,
( k8_filter_0(X1,k1_filter_0(X1)) = X1
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_5623) ).
cnf(i_0_1002,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_1002) ).
cnf(i_0_2048,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/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_2048) ).
cnf(i_0_1166,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-ukfwka91/lgb.p',i_0_1166) ).
cnf(i_0_4117,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk707_0),k17_filter_2(esk707_0),k18_filter_2(esk707_0,k6_lattices(esk707_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_4117) ).
cnf(i_0_5646,plain,
( u1_struct_0(k8_filter_0(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ukfwka91/lgb.p',i_0_5646) ).
cnf(c_0_6166,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
i_0_1139 ).
cnf(c_0_6167,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_1141 ).
cnf(c_0_6168,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_466 ).
cnf(c_0_6169,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_6166,c_0_6167]) ).
cnf(c_0_6170,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_2889 ).
cnf(c_0_6171,negated_conjecture,
l3_lattices(esk707_0),
i_0_4119 ).
cnf(c_0_6172,negated_conjecture,
~ v3_struct_0(esk707_0),
i_0_4121 ).
cnf(c_0_6173,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_6168,c_0_6169]) ).
cnf(c_0_6174,negated_conjecture,
u1_struct_0(k1_lattice2(esk707_0)) = u1_struct_0(esk707_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6170,c_0_6171]),c_0_6172]) ).
cnf(c_0_6175,plain,
( v3_struct_0(k1_lattice2(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0))
| ~ v1_xboole_0(u1_struct_0(esk707_0)) ),
inference(spm,[status(thm)],[c_0_6173,c_0_6174]) ).
cnf(c_0_6176,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_1001 ).
cnf(c_0_6177,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_2639 ).
cnf(c_0_6178,negated_conjecture,
v10_lattices(esk707_0),
i_0_4120 ).
cnf(c_0_6179,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_467 ).
cnf(c_0_6180,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_1279 ).
cnf(c_0_6181,plain,
( v3_struct_0(k1_lattice2(esk707_0))
| ~ v1_xboole_0(u1_struct_0(esk707_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6175,c_0_6176]),c_0_6171])]) ).
cnf(c_0_6182,plain,
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_2344 ).
cnf(c_0_6183,negated_conjecture,
m1_filter_0(u1_struct_0(esk707_0),esk707_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6177,c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6184,negated_conjecture,
v14_lattices(esk707_0),
i_0_4118 ).
cnf(c_0_6185,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_6179,c_0_6169]) ).
cnf(c_0_6186,plain,
~ v1_xboole_0(u1_struct_0(esk707_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6180,c_0_6181]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6187,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_3116 ).
cnf(c_0_6188,negated_conjecture,
r2_hidden(k6_lattices(esk707_0),u1_struct_0(esk707_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_6182,c_0_6183]),c_0_6184]),c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6189,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_1509 ).
cnf(c_0_6190,plain,
( ~ l3_lattices(k1_lattice2(esk707_0))
| ~ v3_struct_0(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6185,c_0_6174]),c_0_6186]) ).
cnf(c_0_6191,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_676 ).
cnf(c_0_6192,plain,
m1_subset_1(k6_lattices(esk707_0),u1_struct_0(esk707_0)),
inference(spm,[status(thm)],[c_0_6187,c_0_6188]) ).
cnf(c_0_6193,plain,
( v3_struct_0(X1)
| m2_filter_2(k18_filter_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_993 ).
cnf(c_0_6194,plain,
( v3_struct_0(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_990 ).
cnf(c_0_6195,negated_conjecture,
v10_lattices(k1_lattice2(esk707_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6189,c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6196,plain,
~ v3_struct_0(k1_lattice2(esk707_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6190,c_0_6176]),c_0_6171])]) ).
cnf(c_0_6197,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_5682 ).
cnf(c_0_6198,plain,
( k5_lattices(k1_lattice2(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_6132 ).
cnf(c_0_6199,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4017 ).
cnf(c_0_6200,plain,
k5_filter_2(esk707_0,k6_lattices(esk707_0)) = k6_lattices(esk707_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6191,c_0_6192]),c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6201,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2020 ).
cnf(c_0_6202,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_3213 ).
cnf(c_0_6203,plain,
m2_filter_2(k18_filter_2(esk707_0,k6_lattices(esk707_0)),esk707_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6193,c_0_6192]),c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6204,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_1161 ).
cnf(c_0_6205,negated_conjecture,
( m2_filter_2(k17_filter_2(k1_lattice2(esk707_0)),k1_lattice2(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6194,c_0_6195]),c_0_6196]) ).
cnf(c_0_6206,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_901 ).
cnf(c_0_6207,plain,
( k2_filter_0(X1,k5_lattices(X1)) = k1_filter_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1) ),
i_0_3155 ).
cnf(c_0_6208,negated_conjecture,
v13_lattices(k1_lattice2(esk707_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6197,c_0_6184]),c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6209,negated_conjecture,
k5_lattices(k1_lattice2(esk707_0)) = k6_lattices(esk707_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6198,c_0_6184]),c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6210,plain,
k2_filter_2(k1_lattice2(esk707_0),k6_lattices(esk707_0)) = k18_filter_2(esk707_0,k6_lattices(esk707_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_6199,c_0_6192]),c_0_6200]),c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6211,negated_conjecture,
( k2_filter_2(k1_lattice2(esk707_0),X1) = k2_filter_0(k1_lattice2(esk707_0),X1)
| ~ l3_lattices(k1_lattice2(esk707_0))
| ~ m1_subset_1(X1,u1_struct_0(esk707_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6201,c_0_6174]),c_0_6195])]),c_0_6196]) ).
cnf(c_0_6212,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_2039 ).
cnf(c_0_6213,plain,
m1_filter_2(k18_filter_2(esk707_0,k6_lattices(esk707_0)),k1_lattice2(esk707_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6202,c_0_6203]),c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6214,plain,
( k8_filter_0(X1,k1_filter_0(X1)) = X1
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_5623 ).
cnf(c_0_6215,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_1002 ).
cnf(c_0_6216,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_2048 ).
cnf(c_0_6217,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_1166 ).
cnf(c_0_6218,plain,
( m2_lattice4(k17_filter_2(k1_lattice2(esk707_0)),k1_lattice2(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6204,c_0_6205]),c_0_6195])]),c_0_6196]) ).
cnf(c_0_6219,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk707_0),k17_filter_2(esk707_0),k18_filter_2(esk707_0,k6_lattices(esk707_0))),
i_0_4117 ).
cnf(c_0_6220,negated_conjecture,
k17_filter_2(esk707_0) = u1_struct_0(esk707_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6206,c_0_6178]),c_0_6171])]),c_0_6172]) ).
cnf(c_0_6221,negated_conjecture,
( k2_filter_0(k1_lattice2(esk707_0),k6_lattices(esk707_0)) = k1_filter_0(k1_lattice2(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6207,c_0_6208]),c_0_6209]),c_0_6195])]),c_0_6196]) ).
cnf(c_0_6222,plain,
( k2_filter_0(k1_lattice2(esk707_0),k6_lattices(esk707_0)) = k18_filter_2(esk707_0,k6_lattices(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6210,c_0_6211]),c_0_6192])]) ).
cnf(c_0_6223,plain,
( u1_struct_0(k8_filter_0(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_5646 ).
cnf(c_0_6224,plain,
( m1_filter_0(k18_filter_2(esk707_0,k6_lattices(esk707_0)),k1_lattice2(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6212,c_0_6213]),c_0_6195])]),c_0_6196]) ).
cnf(c_0_6225,plain,
( k8_filter_0(k1_lattice2(X1),k1_filter_0(k1_lattice2(X1))) = k1_lattice2(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6214,c_0_6215]),c_0_6176]) ).
cnf(c_0_6226,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_6216]) ).
cnf(c_0_6227,plain,
( m1_subset_1(k17_filter_2(k1_lattice2(esk707_0)),k1_zfmisc_1(u1_struct_0(esk707_0)))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6217,c_0_6218]),c_0_6174]),c_0_6195])]),c_0_6196]) ).
cnf(c_0_6228,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk707_0),u1_struct_0(esk707_0),k18_filter_2(esk707_0,k6_lattices(esk707_0))),
inference(rw,[status(thm)],[c_0_6219,c_0_6220]) ).
cnf(c_0_6229,negated_conjecture,
( k18_filter_2(esk707_0,k6_lattices(esk707_0)) = k1_filter_0(k1_lattice2(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(spm,[status(thm)],[c_0_6221,c_0_6222]) ).
cnf(c_0_6230,plain,
( u1_struct_0(k8_filter_0(k1_lattice2(esk707_0),k18_filter_2(esk707_0,k6_lattices(esk707_0)))) = k18_filter_2(esk707_0,k6_lattices(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6223,c_0_6224]),c_0_6195])]),c_0_6196]) ).
cnf(c_0_6231,negated_conjecture,
k8_filter_0(k1_lattice2(esk707_0),k1_filter_0(k1_lattice2(esk707_0))) = k1_lattice2(esk707_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6225,c_0_6195]),c_0_6171])]),c_0_6196]) ).
cnf(c_0_6232,plain,
( r1_filter_2(u1_struct_0(esk707_0),k17_filter_2(k1_lattice2(esk707_0)),k17_filter_2(k1_lattice2(esk707_0)))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6226,c_0_6227]),c_0_6186]) ).
cnf(c_0_6233,plain,
( k17_filter_2(k1_lattice2(esk707_0)) = u1_struct_0(esk707_0)
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6206,c_0_6195]),c_0_6174]),c_0_6196]) ).
cnf(c_0_6234,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk707_0))
| ~ r1_filter_2(u1_struct_0(esk707_0),u1_struct_0(esk707_0),k1_filter_0(k1_lattice2(esk707_0))) ),
inference(spm,[status(thm)],[c_0_6228,c_0_6229]) ).
cnf(c_0_6235,plain,
( k1_filter_0(k1_lattice2(esk707_0)) = u1_struct_0(esk707_0)
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6230,c_0_6229]),c_0_6231]),c_0_6174]) ).
cnf(c_0_6236,plain,
( r1_filter_2(u1_struct_0(esk707_0),u1_struct_0(esk707_0),u1_struct_0(esk707_0))
| ~ l3_lattices(k1_lattice2(esk707_0)) ),
inference(spm,[status(thm)],[c_0_6232,c_0_6233]) ).
cnf(c_0_6237,plain,
~ l3_lattices(k1_lattice2(esk707_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6234,c_0_6235]),c_0_6236]) ).
cnf(c_0_6238,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6237,c_0_6176]),c_0_6171])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT306+4 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n029.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 : Wed Jun 29 00:00:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 1.36/1.60 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.60 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.36/1.60 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.36/1.60 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 84.75/15.36 # ENIGMATIC: Solved by autoschedule-lgb:
% 84.75/15.36 # No SInE strategy applied
% 84.75/15.36 # Trying AutoSched0 for 148 seconds
% 84.75/15.36 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 84.75/15.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 84.75/15.36 #
% 84.75/15.36 # Preprocessing time : 0.031 s
% 84.75/15.36 # Presaturation interreduction done
% 84.75/15.36
% 84.75/15.36 # Proof found!
% 84.75/15.36 # SZS status Theorem
% 84.75/15.36 # SZS output start CNFRefutation
% See solution above
% 84.75/15.36 # Training examples: 0 positive, 0 negative
% 84.75/15.36
% 84.75/15.36 # -------------------------------------------------
% 84.75/15.36 # User time : 8.985 s
% 84.75/15.36 # System time : 0.191 s
% 84.75/15.36 # Total time : 9.176 s
% 84.75/15.36 # Maximum resident set size: 7120 pages
% 84.75/15.36
%------------------------------------------------------------------------------