%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT322+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 04:29:35 EDT 2022
% Result : Theorem 137.29s 19.69s
% Output : CNFRefutation 137.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 46
% Syntax : Number of clauses : 163 ( 34 unt; 86 nHn; 160 RR)
% Number of literals : 530 ( 52 equ; 290 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_981,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-fn6mv5u_/lgb.p',i_0_981) ).
cnf(i_0_3135,negated_conjecture,
m2_filter_2(esk499_0,esk498_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3135) ).
cnf(i_0_3138,negated_conjecture,
v10_lattices(esk498_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3138) ).
cnf(i_0_3136,negated_conjecture,
l3_lattices(esk498_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3136) ).
cnf(i_0_3139,negated_conjecture,
~ v3_struct_0(esk498_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3139) ).
cnf(i_0_983,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-fn6mv5u_/lgb.p',i_0_983) ).
cnf(i_0_481,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_481) ).
cnf(i_0_1013,plain,
m1_subset_1(esk193_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_1013) ).
cnf(i_0_709,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_709) ).
cnf(i_0_418,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_418) ).
cnf(i_0_967,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_967) ).
cnf(i_0_2217,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-fn6mv5u_/lgb.p',i_0_2217) ).
cnf(i_0_3181,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3181) ).
cnf(i_0_948,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_948) ).
cnf(i_0_982,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-fn6mv5u_/lgb.p',i_0_982) ).
cnf(i_0_3635,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3635) ).
cnf(i_0_1360,plain,
v1_xboole_0(esk231_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_1360) ).
cnf(i_0_971,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_971) ).
cnf(i_0_1479,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-fn6mv5u_/lgb.p',i_0_1479) ).
cnf(i_0_1438,plain,
( k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_1438) ).
cnf(i_0_1156,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_1156) ).
cnf(i_0_855,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_855) ).
cnf(i_0_2572,plain,
( v3_struct_0(X1)
| r2_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_2572) ).
cnf(i_0_2828,plain,
( v3_struct_0(X1)
| v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_2828) ).
cnf(i_0_3132,negated_conjecture,
( r2_filter_2(esk498_0,esk499_0)
| v1_filter_2(esk499_0,esk498_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3132) ).
cnf(i_0_3131,plain,
( X1 = k1_filter_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v2_filter_0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3131) ).
cnf(i_0_3055,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3055) ).
cnf(i_0_3137,negated_conjecture,
v17_lattices(esk498_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3137) ).
cnf(i_0_958,plain,
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_958) ).
cnf(i_0_957,plain,
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_957) ).
cnf(i_0_3236,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-fn6mv5u_/lgb.p',i_0_3236) ).
cnf(i_0_959,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v3_struct_0(k8_filter_0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_959) ).
cnf(i_0_3221,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-fn6mv5u_/lgb.p',i_0_3221) ).
cnf(i_0_856,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_856) ).
cnf(i_0_2402,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_2402) ).
cnf(i_0_2573,plain,
( v3_struct_0(X1)
| v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_2573) ).
cnf(i_0_3129,plain,
( v3_struct_0(X1)
| v2_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3129) ).
cnf(i_0_2827,plain,
( v3_struct_0(X1)
| v1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_2827) ).
cnf(i_0_1707,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-fn6mv5u_/lgb.p',i_0_1707) ).
cnf(i_0_1123,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_1123) ).
cnf(i_0_3134,negated_conjecture,
( k17_filter_2(esk498_0) = esk499_0
| ~ r2_filter_2(esk498_0,esk499_0)
| ~ v1_filter_2(esk499_0,esk498_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3134) ).
cnf(i_0_776,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-fn6mv5u_/lgb.p',i_0_776) ).
cnf(i_0_2800,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/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_2800) ).
cnf(i_0_3133,negated_conjecture,
( r2_filter_2(esk498_0,esk499_0)
| k17_filter_2(esk498_0) != esk499_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_3133) ).
cnf(i_0_2121,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-fn6mv5u_/lgb.p',i_0_2121) ).
cnf(i_0_177,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/sandbox2/tmp/enigma-theBenchmark.p-fn6mv5u_/lgb.p',i_0_177) ).
cnf(c_0_3682,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_981 ).
cnf(c_0_3683,negated_conjecture,
m2_filter_2(esk499_0,esk498_0),
i_0_3135 ).
cnf(c_0_3684,negated_conjecture,
v10_lattices(esk498_0),
i_0_3138 ).
cnf(c_0_3685,negated_conjecture,
l3_lattices(esk498_0),
i_0_3136 ).
cnf(c_0_3686,negated_conjecture,
~ v3_struct_0(esk498_0),
i_0_3139 ).
cnf(c_0_3687,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_983 ).
cnf(c_0_3688,negated_conjecture,
m2_lattice4(esk499_0,esk498_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3682,c_0_3683]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3689,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_481 ).
cnf(c_0_3690,plain,
m1_subset_1(esk193_1(X1),X1),
i_0_1013 ).
cnf(c_0_3691,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_709 ).
cnf(c_0_3692,negated_conjecture,
m1_subset_1(esk499_0,k1_zfmisc_1(u1_struct_0(esk498_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3687,c_0_3688]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3693,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_418 ).
cnf(c_0_3694,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_967 ).
cnf(c_0_3695,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_2217 ).
cnf(c_0_3696,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_3181 ).
cnf(c_0_3697,plain,
( r2_hidden(esk193_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_3689,c_0_3690]) ).
cnf(c_0_3698,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_948 ).
cnf(c_0_3699,plain,
k7_filter_2(esk498_0,esk499_0) = esk499_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3691,c_0_3692]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3700,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_982 ).
cnf(c_0_3701,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
i_0_3635 ).
cnf(c_0_3702,plain,
v1_xboole_0(esk231_0),
i_0_1360 ).
cnf(c_0_3703,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_3693,c_0_3694]) ).
cnf(c_0_3704,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_971 ).
cnf(c_0_3705,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_1479 ).
cnf(c_0_3706,negated_conjecture,
m1_filter_2(esk499_0,k1_lattice2(esk498_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3695,c_0_3683]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3707,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_3696,c_0_3697]) ).
cnf(c_0_3708,negated_conjecture,
m1_subset_1(esk499_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk498_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_3698,c_0_3692]),c_0_3699]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3709,negated_conjecture,
~ v1_xboole_0(esk499_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3700,c_0_3683]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3710,plain,
( esk231_0 = X1
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_3701,c_0_3702]) ).
cnf(c_0_3711,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_3703,c_0_3704]) ).
cnf(c_0_3712,plain,
( k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_1438 ).
cnf(c_0_3713,plain,
( m1_filter_0(esk499_0,k1_lattice2(esk498_0))
| v3_struct_0(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(spm,[status(thm)],[c_0_3705,c_0_3706]) ).
cnf(c_0_3714,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_1156 ).
cnf(c_0_3715,plain,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk498_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3707,c_0_3708]),c_0_3709]) ).
cnf(c_0_3716,plain,
( u1_struct_0(X1) = esk231_0
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_3710,c_0_3711]) ).
cnf(c_0_3717,negated_conjecture,
k15_filter_2(esk498_0,esk499_0) = k7_filter_2(esk498_0,esk499_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3712,c_0_3683]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3718,plain,
( m1_filter_0(esk499_0,k1_lattice2(esk498_0))
| v3_struct_0(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3713,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3719,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_855 ).
cnf(c_0_3720,plain,
( ~ l3_lattices(k1_lattice2(esk498_0))
| ~ v3_struct_0(k1_lattice2(esk498_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3715,c_0_3716]),c_0_3702])]) ).
cnf(c_0_3721,plain,
( v3_struct_0(X1)
| r2_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
i_0_2572 ).
cnf(c_0_3722,plain,
( v3_struct_0(X1)
| v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_2(X2,X1) ),
i_0_2828 ).
cnf(c_0_3723,negated_conjecture,
( r2_filter_2(esk498_0,esk499_0)
| v1_filter_2(esk499_0,esk498_0) ),
i_0_3132 ).
cnf(c_0_3724,negated_conjecture,
k15_filter_2(esk498_0,esk499_0) = esk499_0,
inference(rw,[status(thm)],[c_0_3717,c_0_3699]) ).
cnf(c_0_3725,plain,
( m1_filter_0(esk499_0,k1_lattice2(esk498_0))
| v3_struct_0(k1_lattice2(esk498_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3718,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3726,plain,
~ v3_struct_0(k1_lattice2(esk498_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3720,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3727,negated_conjecture,
( r2_filter_2(esk498_0,esk499_0)
| ~ v1_filter_0(k7_filter_2(esk498_0,esk499_0),k1_lattice2(esk498_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_3721,c_0_3717]),c_0_3684]),c_0_3685]),c_0_3683])]),c_0_3686]) ).
cnf(c_0_3728,plain,
( X1 = k1_filter_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v2_filter_0(X1,X2) ),
i_0_3131 ).
cnf(c_0_3729,negated_conjecture,
( v2_filter_0(esk499_0,k1_lattice2(esk498_0))
| r2_filter_2(esk498_0,esk499_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_3722,c_0_3723]),c_0_3724]),c_0_3684]),c_0_3685]),c_0_3683])]),c_0_3686]) ).
cnf(c_0_3730,plain,
m1_filter_0(esk499_0,k1_lattice2(esk498_0)),
inference(sr,[status(thm)],[c_0_3725,c_0_3726]) ).
cnf(c_0_3731,negated_conjecture,
( r2_filter_2(esk498_0,esk499_0)
| ~ v1_filter_0(esk499_0,k1_lattice2(esk498_0)) ),
inference(rw,[status(thm)],[c_0_3727,c_0_3699]) ).
cnf(c_0_3732,negated_conjecture,
( k1_filter_0(k1_lattice2(esk498_0)) = esk499_0
| r2_filter_2(esk498_0,esk499_0)
| ~ v17_lattices(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3728,c_0_3729]),c_0_3730])]),c_0_3726]),c_0_3731]) ).
cnf(c_0_3733,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_3055 ).
cnf(c_0_3734,negated_conjecture,
v17_lattices(esk498_0),
i_0_3137 ).
cnf(c_0_3735,plain,
( k1_filter_0(k1_lattice2(esk498_0)) = esk499_0
| r2_filter_2(esk498_0,esk499_0)
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_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_3732,c_0_3733]),c_0_3734]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3736,plain,
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_958 ).
cnf(c_0_3737,plain,
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_957 ).
cnf(c_0_3738,plain,
( k1_filter_0(k1_lattice2(esk498_0)) = esk499_0
| r2_filter_2(esk498_0,esk499_0)
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3735,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3739,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_3236 ).
cnf(c_0_3740,plain,
( v10_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0))
| v3_struct_0(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(spm,[status(thm)],[c_0_3736,c_0_3725]) ).
cnf(c_0_3741,plain,
( l3_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0))
| v3_struct_0(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(spm,[status(thm)],[c_0_3737,c_0_3725]) ).
cnf(c_0_3742,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v3_struct_0(k8_filter_0(X1,X2)) ),
i_0_959 ).
cnf(c_0_3743,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_3221 ).
cnf(c_0_3744,plain,
( k1_filter_0(k1_lattice2(esk498_0)) = esk499_0
| r2_filter_2(esk498_0,esk499_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3738,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3745,plain,
( u1_struct_0(k8_filter_0(k1_lattice2(esk498_0),esk499_0)) = esk499_0
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3739,c_0_3730]),c_0_3726]) ).
cnf(c_0_3746,plain,
( v10_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0))
| v3_struct_0(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3740,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3747,plain,
( l3_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0))
| v3_struct_0(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3741,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3748,plain,
( ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0))
| ~ v3_struct_0(k8_filter_0(k1_lattice2(esk498_0),esk499_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3742,c_0_3730]),c_0_3726]) ).
cnf(c_0_3749,plain,
( k8_filter_0(k1_lattice2(esk498_0),esk499_0) = k1_lattice2(esk498_0)
| r2_filter_2(esk498_0,esk499_0)
| ~ v3_lattices(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3743,c_0_3744]),c_0_3726]) ).
cnf(c_0_3750,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_856 ).
cnf(c_0_3751,plain,
( u1_struct_0(k8_filter_0(k1_lattice2(esk498_0),esk499_0)) = esk499_0
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3745,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3752,plain,
( v10_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0))
| v3_struct_0(k1_lattice2(esk498_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3746,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3753,plain,
( l3_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0))
| v3_struct_0(k1_lattice2(esk498_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3747,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3754,plain,
( ~ l3_lattices(k1_lattice2(esk498_0))
| ~ v3_struct_0(k8_filter_0(k1_lattice2(esk498_0),esk499_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3748,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3755,plain,
( k8_filter_0(k1_lattice2(esk498_0),esk499_0) = k1_lattice2(esk498_0)
| r2_filter_2(esk498_0,esk499_0)
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3749,c_0_3750]),c_0_3685])]) ).
cnf(c_0_3756,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_2402 ).
cnf(c_0_3757,plain,
u1_struct_0(k8_filter_0(k1_lattice2(esk498_0),esk499_0)) = esk499_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3751,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3758,plain,
v10_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0)),
inference(sr,[status(thm)],[c_0_3752,c_0_3726]) ).
cnf(c_0_3759,plain,
l3_lattices(k8_filter_0(k1_lattice2(esk498_0),esk499_0)),
inference(sr,[status(thm)],[c_0_3753,c_0_3726]) ).
cnf(c_0_3760,plain,
~ v3_struct_0(k8_filter_0(k1_lattice2(esk498_0),esk499_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3754,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3761,plain,
( k8_filter_0(k1_lattice2(esk498_0),esk499_0) = k1_lattice2(esk498_0)
| r2_filter_2(esk498_0,esk499_0)
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3755,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3762,plain,
m2_filter_2(esk499_0,k8_filter_0(k1_lattice2(esk498_0),esk499_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3756,c_0_3757]),c_0_3758]),c_0_3759])]),c_0_3760]) ).
cnf(c_0_3763,plain,
( k8_filter_0(k1_lattice2(esk498_0),esk499_0) = k1_lattice2(esk498_0)
| r2_filter_2(esk498_0,esk499_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3761,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3764,plain,
( v3_struct_0(X1)
| v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
i_0_2573 ).
cnf(c_0_3765,plain,
( m2_filter_2(esk499_0,k1_lattice2(esk498_0))
| r2_filter_2(esk498_0,esk499_0) ),
inference(spm,[status(thm)],[c_0_3762,c_0_3763]) ).
cnf(c_0_3766,plain,
( v3_struct_0(X1)
| v2_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1) ),
i_0_3129 ).
cnf(c_0_3767,plain,
( v1_filter_0(esk499_0,k1_lattice2(esk498_0))
| m2_filter_2(esk499_0,k1_lattice2(esk498_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_3764,c_0_3765]),c_0_3724]),c_0_3684]),c_0_3685]),c_0_3683])]),c_0_3686]) ).
cnf(c_0_3768,plain,
( v2_filter_0(esk499_0,k1_lattice2(esk498_0))
| m2_filter_2(esk499_0,k1_lattice2(esk498_0))
| ~ v17_lattices(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3766,c_0_3767]),c_0_3730])]),c_0_3726]) ).
cnf(c_0_3769,plain,
( v3_struct_0(X1)
| v1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
i_0_2827 ).
cnf(c_0_3770,plain,
( v2_filter_0(esk499_0,k1_lattice2(esk498_0))
| m2_filter_2(esk499_0,k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_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_3768,c_0_3733]),c_0_3734]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3771,negated_conjecture,
( v1_filter_2(esk499_0,esk498_0)
| ~ v2_filter_0(k7_filter_2(esk498_0,esk499_0),k1_lattice2(esk498_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_3769,c_0_3717]),c_0_3684]),c_0_3685]),c_0_3683])]),c_0_3686]) ).
cnf(c_0_3772,plain,
( v2_filter_0(esk499_0,k1_lattice2(esk498_0))
| m2_filter_2(esk499_0,k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3770,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3773,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_1707 ).
cnf(c_0_3774,negated_conjecture,
( v1_filter_2(esk499_0,esk498_0)
| ~ v2_filter_0(esk499_0,k1_lattice2(esk498_0)) ),
inference(rw,[status(thm)],[c_0_3771,c_0_3699]) ).
cnf(c_0_3775,plain,
( v2_filter_0(esk499_0,k1_lattice2(esk498_0))
| m2_filter_2(esk499_0,k1_lattice2(esk498_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3772,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3776,plain,
( r2_hidden(k6_lattices(k1_lattice2(esk498_0)),esk499_0)
| ~ v14_lattices(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3773,c_0_3730]),c_0_3726]) ).
cnf(c_0_3777,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_1123 ).
cnf(c_0_3778,negated_conjecture,
( k17_filter_2(esk498_0) = esk499_0
| ~ r2_filter_2(esk498_0,esk499_0)
| ~ v1_filter_2(esk499_0,esk498_0) ),
i_0_3134 ).
cnf(c_0_3779,negated_conjecture,
( m2_filter_2(esk499_0,k1_lattice2(esk498_0))
| v1_filter_2(esk499_0,esk498_0) ),
inference(spm,[status(thm)],[c_0_3774,c_0_3775]) ).
cnf(c_0_3780,plain,
( r2_hidden(k6_lattices(k1_lattice2(esk498_0)),esk499_0)
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_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_3776,c_0_3777]),c_0_3734]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3781,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_776 ).
cnf(c_0_3782,negated_conjecture,
( k17_filter_2(esk498_0) = esk499_0
| m2_filter_2(esk499_0,k1_lattice2(esk498_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3778,c_0_3779]),c_0_3765]) ).
cnf(c_0_3783,plain,
( r2_hidden(k6_lattices(k1_lattice2(esk498_0)),esk499_0)
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3780,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3784,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_2800 ).
cnf(c_0_3785,plain,
( u1_struct_0(esk498_0) = esk499_0
| m2_filter_2(esk499_0,k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3781,c_0_3782]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3786,plain,
r2_hidden(k6_lattices(k1_lattice2(esk498_0)),esk499_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3783,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3787,plain,
( u1_struct_0(k1_lattice2(esk498_0)) = esk499_0
| u1_struct_0(esk498_0) = esk499_0
| ~ v14_lattices(k1_lattice2(esk498_0))
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3784,c_0_3785]),c_0_3786])]),c_0_3726]) ).
cnf(c_0_3788,plain,
( u1_struct_0(k1_lattice2(esk498_0)) = esk499_0
| u1_struct_0(esk498_0) = esk499_0
| ~ v10_lattices(k1_lattice2(esk498_0))
| ~ l3_lattices(k1_lattice2(esk498_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_3787,c_0_3777]),c_0_3734]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3789,plain,
( u1_struct_0(k1_lattice2(esk498_0)) = esk499_0
| u1_struct_0(esk498_0) = esk499_0
| ~ l3_lattices(k1_lattice2(esk498_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3788,c_0_3714]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3790,negated_conjecture,
( r2_filter_2(esk498_0,esk499_0)
| k17_filter_2(esk498_0) != esk499_0 ),
i_0_3133 ).
cnf(c_0_3791,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_2121 ).
cnf(c_0_3792,plain,
( u1_struct_0(k1_lattice2(esk498_0)) = esk499_0
| u1_struct_0(esk498_0) = esk499_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3789,c_0_3719]),c_0_3685])]) ).
cnf(c_0_3793,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_177 ).
cnf(c_0_3794,negated_conjecture,
( r2_filter_2(esk498_0,esk499_0)
| u1_struct_0(esk498_0) != esk499_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3790,c_0_3781]),c_0_3684]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3795,plain,
u1_struct_0(esk498_0) = esk499_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3791,c_0_3792]),c_0_3685])]),c_0_3686]) ).
cnf(c_0_3796,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_3793]),c_0_3756]) ).
cnf(c_0_3797,negated_conjecture,
r2_filter_2(esk498_0,esk499_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3794,c_0_3795])]) ).
cnf(c_0_3798,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3796,c_0_3795]),c_0_3684]),c_0_3685])]),c_0_3686]),c_0_3797])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT322+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 : Thu Jun 30 03:07:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.38/0.57 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.38/0.57 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.38/0.57 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 137.29/19.69 # ENIGMATIC: Solved by autoschedule-lgb:
% 137.29/19.69 # No SInE strategy applied
% 137.29/19.69 # Trying AutoSched0 for 150 seconds
% 137.29/19.69 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 137.29/19.69 # and selection function SelectCQIPrecWNTNp.
% 137.29/19.69 #
% 137.29/19.69 # Preprocessing time : 0.034 s
% 137.29/19.69 # Presaturation interreduction done
% 137.29/19.69
% 137.29/19.69 # Proof found!
% 137.29/19.69 # SZS status Theorem
% 137.29/19.69 # SZS output start CNFRefutation
% See solution above
% 137.29/19.69 # Training examples: 0 positive, 0 negative
% 137.29/19.69
% 137.29/19.69 # -------------------------------------------------
% 137.29/19.69 # User time : 15.837 s
% 137.29/19.69 # System time : 0.317 s
% 137.29/19.69 # Total time : 16.154 s
% 137.29/19.69 # Maximum resident set size: 7124 pages
% 137.29/19.69
%------------------------------------------------------------------------------