TSTP Solution File: LAT337+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT337+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 04:29:53 EDT 2022

% Result   : Theorem 24.56s 5.35s
% Output   : CNFRefutation 24.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   58
% Syntax   : Number of clauses     :  201 (  65 unt; 102 nHn; 201 RR)
%            Number of literals    :  723 (  49 equ; 408 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   3 con; 0-3 aty)
%            Number of variables   :  189 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_881,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/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_881) ).

cnf(i_0_3725,negated_conjecture,
    m1_subset_1(esk565_0,u1_struct_0(esk563_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3725) ).

cnf(i_0_3728,negated_conjecture,
    v10_lattices(esk563_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3728) ).

cnf(i_0_3727,negated_conjecture,
    l3_lattices(esk563_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3727) ).

cnf(i_0_3729,negated_conjecture,
    ~ v3_struct_0(esk563_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3729) ).

cnf(i_0_2340,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k5_lattices(X1),X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_2340) ).

cnf(i_0_1002,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-e7r_p08x/lgb.p',i_0_1002) ).

cnf(i_0_2530,plain,
    ( k3_filter_0(X1,X2) = u1_struct_0(X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ r2_hidden(k5_lattices(X1),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_2530) ).

cnf(i_0_3574,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3574) ).

cnf(i_0_116,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_116) ).

cnf(i_0_3722,negated_conjecture,
    v17_lattices(esk563_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3722) ).

cnf(i_0_1004,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-e7r_p08x/lgb.p',i_0_1004) ).

cnf(i_0_2531,plain,
    ( k3_filter_0(X1,X2) = k1_filter_0(X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ r2_hidden(k5_lattices(X1),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_2531) ).

cnf(i_0_1486,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1486) ).

cnf(i_0_884,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(k1_filter_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_884) ).

cnf(i_0_1676,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1676) ).

cnf(i_0_994,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_994) ).

cnf(i_0_3418,plain,
    ( k8_filter_0(X1,X2) = k23_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3418) ).

cnf(i_0_3332,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k8_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3332) ).

cnf(i_0_899,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m2_nat_lat(k23_filter_2(X2,X1),X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_899) ).

cnf(i_0_355,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_355) ).

cnf(i_0_1005,plain,
    ( l3_lattices(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1005) ).

cnf(i_0_1006,plain,
    ( v3_struct_0(X1)
    | v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1006) ).

cnf(i_0_1007,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1007) ).

cnf(i_0_3472,plain,
    ( u1_lattices(k23_filter_2(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3472) ).

cnf(i_0_356,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_356) ).

cnf(i_0_3473,plain,
    ( u2_lattices(k23_filter_2(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3473) ).

cnf(i_0_115,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_115) ).

cnf(i_0_77,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ v14_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_77) ).

cnf(i_0_3527,plain,
    ( v3_struct_0(X1)
    | v13_lattices(k23_filter_2(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3527) ).

cnf(i_0_2420,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-e7r_p08x/lgb.p',i_0_2420) ).

cnf(i_0_3517,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3517) ).

cnf(i_0_3474,plain,
    ( u1_struct_0(k23_filter_2(X1,X2)) = X2
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3474) ).

cnf(i_0_1169,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | v3_lattices(k23_filter_2(X2,X1))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1169) ).

cnf(i_0_3,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3) ).

cnf(i_0_3576,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = k1_lattice2(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3576) ).

cnf(i_0_97,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_97) ).

cnf(i_0_3276,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3276) ).

cnf(i_0_96,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_96) ).

cnf(i_0_1188,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1188) ).

cnf(i_0_3069,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3069) ).

cnf(i_0_3294,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3294) ).

cnf(i_0_1180,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1180) ).

cnf(i_0_3397,plain,
    ( k1_lattice2(X1) = k1_lattice2(X2)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
    | ~ l3_lattices(X2)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3397) ).

cnf(i_0_1162,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | v10_lattices(k23_filter_2(X2,X1))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1162) ).

cnf(i_0_3318,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(k1_lattice2(X1))
    | ~ v10_lattices(k1_lattice2(X1))
    | ~ v11_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3318) ).

cnf(i_0_897,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(k22_filter_2(X1,X2,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_897) ).

cnf(i_0_898,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ v1_xboole_0(k22_filter_2(X1,X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_898) ).

cnf(i_0_3726,negated_conjecture,
    m1_subset_1(esk564_0,u1_struct_0(esk563_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3726) ).

cnf(i_0_3703,plain,
    ( v3_struct_0(X1)
    | v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3703) ).

cnf(i_0_1141,plain,
    ( v3_struct_0(X1)
    | v11_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_1141) ).

cnf(i_0_136,plain,
    ( v3_struct_0(X1)
    | v12_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v11_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_136) ).

cnf(i_0_457,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_457) ).

cnf(i_0_3641,plain,
    ( v3_struct_0(X1)
    | v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3641) ).

cnf(i_0_3719,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ l3_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ v10_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ v17_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3719) ).

cnf(i_0_3720,negated_conjecture,
    r3_lattices(esk563_0,esk564_0,esk565_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3720) ).

cnf(i_0_3558,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | v11_lattices(k23_filter_2(X2,X1))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_3558) ).

cnf(i_0_455,plain,
    ( v3_struct_0(X1)
    | v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e7r_p08x/lgb.p',i_0_455) ).

cnf(c_0_3788,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_881 ).

cnf(c_0_3789,negated_conjecture,
    m1_subset_1(esk565_0,u1_struct_0(esk563_0)),
    i_0_3725 ).

cnf(c_0_3790,negated_conjecture,
    v10_lattices(esk563_0),
    i_0_3728 ).

cnf(c_0_3791,negated_conjecture,
    l3_lattices(esk563_0),
    i_0_3727 ).

cnf(c_0_3792,negated_conjecture,
    ~ v3_struct_0(esk563_0),
    i_0_3729 ).

cnf(c_0_3793,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k5_lattices(X1),X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_2340 ).

cnf(c_0_3794,negated_conjecture,
    m2_filter_2(k18_filter_2(esk563_0,esk565_0),esk563_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_3789]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3795,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_1002 ).

cnf(c_0_3796,plain,
    ( k3_filter_0(X1,X2) = u1_struct_0(X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ r2_hidden(k5_lattices(X1),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_2530 ).

cnf(c_0_3797,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_3574 ).

cnf(c_0_3798,plain,
    ( r2_hidden(k5_lattices(esk563_0),k18_filter_2(esk563_0,esk565_0))
    | ~ v13_lattices(esk563_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3793,c_0_3794]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3799,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_116 ).

cnf(c_0_3800,negated_conjecture,
    v17_lattices(esk563_0),
    i_0_3722 ).

cnf(c_0_3801,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_1004 ).

cnf(c_0_3802,plain,
    m2_lattice4(k18_filter_2(esk563_0,esk565_0),esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3795,c_0_3794]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3803,plain,
    ( k3_filter_0(X1,X2) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v13_lattices(X1)
    | ~ r2_hidden(k5_lattices(X1),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[c_0_3796,c_0_3797]) ).

cnf(c_0_3804,plain,
    r2_hidden(k5_lattices(esk563_0),k18_filter_2(esk563_0,esk565_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3798,c_0_3799]),c_0_3800]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3805,plain,
    m1_subset_1(k18_filter_2(esk563_0,esk565_0),k1_zfmisc_1(u1_struct_0(esk563_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3801,c_0_3802]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3806,plain,
    ( k3_filter_0(X1,X2) = k1_filter_0(X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ r2_hidden(k5_lattices(X1),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_2531 ).

cnf(c_0_3807,plain,
    ( k3_filter_0(esk563_0,k18_filter_2(esk563_0,esk565_0)) = u1_struct_0(esk563_0)
    | ~ v13_lattices(esk563_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_3803,c_0_3804]),c_0_3805]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3808,plain,
    ( k3_filter_0(X1,X2) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ v13_lattices(X1)
    | ~ r2_hidden(k5_lattices(X1),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[c_0_3806,c_0_3797]) ).

cnf(c_0_3809,plain,
    k3_filter_0(esk563_0,k18_filter_2(esk563_0,esk565_0)) = u1_struct_0(esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3807,c_0_3799]),c_0_3800]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3810,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_1486 ).

cnf(c_0_3811,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(k1_filter_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_884 ).

cnf(c_0_3812,plain,
    ( k1_filter_0(esk563_0) = u1_struct_0(esk563_0)
    | ~ v13_lattices(esk563_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_3808,c_0_3809]),c_0_3804]),c_0_3805]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3813,plain,
    ( m1_filter_2(k1_filter_0(X1),X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_3810,c_0_3811]) ).

cnf(c_0_3814,plain,
    k1_filter_0(esk563_0) = u1_struct_0(esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3812,c_0_3799]),c_0_3800]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3815,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_1676 ).

cnf(c_0_3816,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_994 ).

cnf(c_0_3817,plain,
    ( k8_filter_0(X1,X2) = k23_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_3418 ).

cnf(c_0_3818,plain,
    m1_filter_2(u1_struct_0(esk563_0),esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3813,c_0_3814]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3819,plain,
    ( m2_lattice4(k1_filter_0(X1),X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_3815,c_0_3811]) ).

cnf(c_0_3820,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(k1_filter_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_3816,c_0_3811]) ).

cnf(c_0_3821,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k8_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_3332 ).

cnf(c_0_3822,plain,
    m1_filter_0(u1_struct_0(esk563_0),esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3811,c_0_3814]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3823,plain,
    k8_filter_0(esk563_0,u1_struct_0(esk563_0)) = k23_filter_2(esk563_0,u1_struct_0(esk563_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3817,c_0_3818]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3824,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m2_nat_lat(k23_filter_2(X2,X1),X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    i_0_899 ).

cnf(c_0_3825,plain,
    m2_lattice4(u1_struct_0(esk563_0),esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3819,c_0_3814]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3826,plain,
    ~ v1_xboole_0(u1_struct_0(esk563_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3820,c_0_3814]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3827,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_355 ).

cnf(c_0_3828,plain,
    ( l3_lattices(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2) ),
    i_0_1005 ).

cnf(c_0_3829,plain,
    ( v3_struct_0(X1)
    | v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_1006 ).

cnf(c_0_3830,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_1007 ).

cnf(c_0_3831,plain,
    ( u1_lattices(k23_filter_2(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_3472 ).

cnf(c_0_3832,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_356 ).

cnf(c_0_3833,plain,
    ( u2_lattices(k23_filter_2(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_3473 ).

cnf(c_0_3834,plain,
    ( v14_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0)))
    | ~ v14_lattices(esk563_0) ),
    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_3821,c_0_3822]),c_0_3790]),c_0_3791])]),c_0_3792]),c_0_3823]) ).

cnf(c_0_3835,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_115 ).

cnf(c_0_3836,plain,
    m2_nat_lat(k23_filter_2(esk563_0,u1_struct_0(esk563_0)),esk563_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_3824,c_0_3825]),c_0_3790]),c_0_3791])]),c_0_3826]),c_0_3792]) ).

cnf(c_0_3837,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2)
    | v3_struct_0(X1)
    | ~ m2_nat_lat(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3827,c_0_3828]),c_0_3829]),c_0_3830]) ).

cnf(c_0_3838,plain,
    k1_realset1(u1_lattices(esk563_0),u1_struct_0(esk563_0)) = u1_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_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_3831,c_0_3825]),c_0_3790]),c_0_3791])]),c_0_3826]),c_0_3792]) ).

cnf(c_0_3839,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
    | v3_struct_0(X1)
    | ~ m2_nat_lat(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3832,c_0_3828]),c_0_3829]),c_0_3830]) ).

cnf(c_0_3840,plain,
    k1_realset1(u2_lattices(esk563_0),u1_struct_0(esk563_0)) = u2_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_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_3833,c_0_3825]),c_0_3790]),c_0_3791])]),c_0_3826]),c_0_3792]) ).

cnf(c_0_3841,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ v14_lattices(X1) ),
    i_0_77 ).

cnf(c_0_3842,plain,
    v14_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3834,c_0_3835]),c_0_3800]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3843,plain,
    l3_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3828,c_0_3836]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3844,plain,
    ~ v3_struct_0(k23_filter_2(esk563_0,u1_struct_0(esk563_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3830,c_0_3836]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3845,plain,
    ( v3_struct_0(X1)
    | v13_lattices(k23_filter_2(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_3527 ).

cnf(c_0_3846,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_2420 ).

cnf(c_0_3847,plain,
    ( u1_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))) = u1_lattices(esk563_0)
    | ~ m2_nat_lat(esk563_0,esk563_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3837,c_0_3838]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3848,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_3517 ).

cnf(c_0_3849,plain,
    ( u1_struct_0(k23_filter_2(X1,X2)) = X2
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_3474 ).

cnf(c_0_3850,plain,
    ( u2_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))) = u2_lattices(esk563_0)
    | ~ m2_nat_lat(esk563_0,esk563_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3839,c_0_3840]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3851,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | v3_lattices(k23_filter_2(X2,X1))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    i_0_1169 ).

cnf(c_0_3852,plain,
    ( v15_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0)))
    | ~ v13_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3841,c_0_3842]),c_0_3843])]),c_0_3844]) ).

cnf(c_0_3853,plain,
    ( v13_lattices(k23_filter_2(X1,u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v13_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_3845,c_0_3846]) ).

cnf(c_0_3854,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_3 ).

cnf(c_0_3855,plain,
    u1_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))) = u1_lattices(esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3847,c_0_3848]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3856,plain,
    u1_struct_0(k23_filter_2(esk563_0,u1_struct_0(esk563_0))) = u1_struct_0(esk563_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_3849,c_0_3825]),c_0_3790]),c_0_3791])]),c_0_3826]),c_0_3792]) ).

cnf(c_0_3857,plain,
    u2_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))) = u2_lattices(esk563_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3850,c_0_3848]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3858,plain,
    v3_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_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_3851,c_0_3825]),c_0_3790]),c_0_3791])]),c_0_3826]),c_0_3792]) ).

cnf(c_0_3859,plain,
    ( v15_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0)))
    | ~ v13_lattices(esk563_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3852,c_0_3853]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3860,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = k1_lattice2(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_3576 ).

cnf(c_0_3861,plain,
    g3_lattices(u1_struct_0(esk563_0),u2_lattices(esk563_0),u1_lattices(esk563_0)) = k23_filter_2(esk563_0,u1_struct_0(esk563_0)),
    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_3854,c_0_3855]),c_0_3856]),c_0_3857]),c_0_3858]),c_0_3843])]) ).

cnf(c_0_3862,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1) ),
    i_0_97 ).

cnf(c_0_3863,plain,
    v15_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3859,c_0_3799]),c_0_3800]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3864,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    i_0_3276 ).

cnf(c_0_3865,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1) ),
    i_0_96 ).

cnf(c_0_3866,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1188 ).

cnf(c_0_3867,plain,
    k23_filter_2(esk563_0,u1_struct_0(esk563_0)) = k1_lattice2(k1_lattice2(esk563_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3860,c_0_3861]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3868,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_3069 ).

cnf(c_0_3869,plain,
    v13_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3862,c_0_3863]),c_0_3843])]),c_0_3844]) ).

cnf(c_0_3870,plain,
    ( v13_lattices(X1)
    | v3_struct_0(X1)
    | ~ v15_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3864,c_0_3865]),c_0_3866]) ).

cnf(c_0_3871,plain,
    v15_lattices(k1_lattice2(k1_lattice2(esk563_0))),
    inference(rw,[status(thm)],[c_0_3863,c_0_3867]) ).

cnf(c_0_3872,plain,
    l3_lattices(k1_lattice2(k1_lattice2(esk563_0))),
    inference(rw,[status(thm)],[c_0_3843,c_0_3867]) ).

cnf(c_0_3873,negated_conjecture,
    l3_lattices(k1_lattice2(esk563_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3868,c_0_3800]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3874,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(k1_lattice2(X1)) ),
    i_0_3294 ).

cnf(c_0_3875,plain,
    v13_lattices(k1_lattice2(k1_lattice2(esk563_0))),
    inference(rw,[status(thm)],[c_0_3869,c_0_3867]) ).

cnf(c_0_3876,plain,
    ( v13_lattices(k1_lattice2(esk563_0))
    | v3_struct_0(k1_lattice2(esk563_0))
    | ~ v10_lattices(k1_lattice2(esk563_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3870,c_0_3871]),c_0_3872]),c_0_3873])]) ).

cnf(c_0_3877,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1180 ).

cnf(c_0_3878,plain,
    ( v14_lattices(k1_lattice2(esk563_0))
    | v3_struct_0(k1_lattice2(esk563_0))
    | ~ v10_lattices(k1_lattice2(esk563_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3874,c_0_3875]),c_0_3873])]) ).

cnf(c_0_3879,plain,
    ( k1_lattice2(X1) = k1_lattice2(X2)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
    | ~ l3_lattices(X2)
    | ~ l3_lattices(X1) ),
    i_0_3397 ).

cnf(c_0_3880,plain,
    g3_lattices(u1_struct_0(esk563_0),u2_lattices(esk563_0),u1_lattices(esk563_0)) = k1_lattice2(k1_lattice2(esk563_0)),
    inference(rw,[status(thm)],[c_0_3861,c_0_3867]) ).

cnf(c_0_3881,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | v10_lattices(k23_filter_2(X2,X1))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    i_0_1162 ).

cnf(c_0_3882,plain,
    ( v13_lattices(k1_lattice2(esk563_0))
    | v3_struct_0(k1_lattice2(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3876,c_0_3877]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3883,plain,
    ( v14_lattices(k1_lattice2(esk563_0))
    | v3_struct_0(k1_lattice2(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3878,c_0_3877]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3884,plain,
    ( k1_lattice2(esk563_0) = k1_lattice2(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != k1_lattice2(k1_lattice2(esk563_0))
    | ~ l3_lattices(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3879,c_0_3880]),c_0_3791])]) ).

cnf(c_0_3885,plain,
    u1_lattices(k1_lattice2(k1_lattice2(esk563_0))) = u1_lattices(esk563_0),
    inference(rw,[status(thm)],[c_0_3855,c_0_3867]) ).

cnf(c_0_3886,plain,
    u1_struct_0(k1_lattice2(k1_lattice2(esk563_0))) = u1_struct_0(esk563_0),
    inference(rw,[status(thm)],[c_0_3856,c_0_3867]) ).

cnf(c_0_3887,plain,
    u2_lattices(k1_lattice2(k1_lattice2(esk563_0))) = u2_lattices(esk563_0),
    inference(rw,[status(thm)],[c_0_3857,c_0_3867]) ).

cnf(c_0_3888,plain,
    v10_lattices(k23_filter_2(esk563_0,u1_struct_0(esk563_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_3881,c_0_3825]),c_0_3790]),c_0_3791])]),c_0_3826]),c_0_3792]) ).

cnf(c_0_3889,plain,
    ( v14_lattices(esk563_0)
    | v3_struct_0(k1_lattice2(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3874,c_0_3882]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3890,plain,
    ( v13_lattices(esk563_0)
    | v3_struct_0(k1_lattice2(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3864,c_0_3883]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3891,plain,
    k1_lattice2(k1_lattice2(k1_lattice2(esk563_0))) = k1_lattice2(esk563_0),
    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_3884,c_0_3885]),c_0_3886]),c_0_3887]),c_0_3880]),c_0_3872])]) ).

cnf(c_0_3892,plain,
    v10_lattices(k1_lattice2(k1_lattice2(esk563_0))),
    inference(rw,[status(thm)],[c_0_3888,c_0_3867]) ).

cnf(c_0_3893,plain,
    ~ v3_struct_0(k1_lattice2(k1_lattice2(esk563_0))),
    inference(rw,[status(thm)],[c_0_3844,c_0_3867]) ).

cnf(c_0_3894,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(k1_lattice2(X1))
    | ~ v10_lattices(k1_lattice2(X1))
    | ~ v11_lattices(k1_lattice2(X1)) ),
    i_0_3318 ).

cnf(c_0_3895,plain,
    ( v15_lattices(esk563_0)
    | v3_struct_0(k1_lattice2(esk563_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3841,c_0_3889]),c_0_3791])]),c_0_3792]),c_0_3890]) ).

cnf(c_0_3896,plain,
    ~ v3_struct_0(k1_lattice2(esk563_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3866,c_0_3891]),c_0_3892]),c_0_3872])]),c_0_3893]) ).

cnf(c_0_3897,plain,
    ( v11_lattices(X1)
    | v3_struct_0(X1)
    | ~ v11_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3894,c_0_3877]),c_0_3866]) ).

cnf(c_0_3898,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(k22_filter_2(X1,X2,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_897 ).

cnf(c_0_3899,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ v1_xboole_0(k22_filter_2(X1,X3,X2)) ),
    i_0_898 ).

cnf(c_0_3900,negated_conjecture,
    m1_subset_1(esk564_0,u1_struct_0(esk563_0)),
    i_0_3726 ).

cnf(c_0_3901,plain,
    ( v3_struct_0(X1)
    | v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3703 ).

cnf(c_0_3902,plain,
    v15_lattices(esk563_0),
    inference(sr,[status(thm)],[c_0_3895,c_0_3896]) ).

cnf(c_0_3903,negated_conjecture,
    ( v11_lattices(esk563_0)
    | ~ v11_lattices(k1_lattice2(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3897,c_0_3873]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3904,plain,
    ( v3_struct_0(X1)
    | v11_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_1141 ).

cnf(c_0_3905,negated_conjecture,
    ( m2_lattice4(k22_filter_2(esk563_0,X1,esk565_0),esk563_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3898,c_0_3789]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3906,negated_conjecture,
    ( ~ v1_xboole_0(k22_filter_2(esk563_0,esk564_0,X1))
    | ~ m1_subset_1(X1,u1_struct_0(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3899,c_0_3900]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3907,negated_conjecture,
    ( v16_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,X1,esk565_0)))
    | ~ v16_lattices(esk563_0)
    | ~ v12_lattices(esk563_0)
    | ~ r3_lattices(esk563_0,X1,esk565_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk563_0)) ),
    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_3901,c_0_3789]),c_0_3790]),c_0_3791])]),c_0_3792]),c_0_3902])]) ).

cnf(c_0_3908,plain,
    ( v3_struct_0(X1)
    | v12_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v11_lattices(X1) ),
    i_0_136 ).

cnf(c_0_3909,plain,
    v11_lattices(esk563_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_3903,c_0_3904]),c_0_3800]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3910,negated_conjecture,
    m2_lattice4(k22_filter_2(esk563_0,esk564_0,esk565_0),esk563_0),
    inference(spm,[status(thm)],[c_0_3905,c_0_3900]) ).

cnf(c_0_3911,negated_conjecture,
    ~ v1_xboole_0(k22_filter_2(esk563_0,esk564_0,esk565_0)),
    inference(spm,[status(thm)],[c_0_3906,c_0_3789]) ).

cnf(c_0_3912,plain,
    ( v16_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,X1,esk565_0)))
    | ~ v16_lattices(esk563_0)
    | ~ r3_lattices(esk563_0,X1,esk565_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk563_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_3907,c_0_3908]),c_0_3909]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3913,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_457 ).

cnf(c_0_3914,plain,
    ( v3_struct_0(X1)
    | v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3641 ).

cnf(c_0_3915,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ l3_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ v10_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ v17_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))) ),
    i_0_3719 ).

cnf(c_0_3916,plain,
    v10_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_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_3881,c_0_3910]),c_0_3790]),c_0_3791])]),c_0_3911]),c_0_3792]) ).

cnf(c_0_3917,plain,
    m2_nat_lat(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)),esk563_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_3824,c_0_3910]),c_0_3790]),c_0_3791])]),c_0_3911]),c_0_3792]) ).

cnf(c_0_3918,plain,
    ( v16_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,X1,esk565_0)))
    | ~ r3_lattices(esk563_0,X1,esk565_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3912,c_0_3913]),c_0_3800]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3919,negated_conjecture,
    r3_lattices(esk563_0,esk564_0,esk565_0),
    i_0_3720 ).

cnf(c_0_3920,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | v11_lattices(k23_filter_2(X2,X1))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ m2_lattice4(X1,X2) ),
    i_0_3558 ).

cnf(c_0_3921,negated_conjecture,
    ( v15_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,X1,esk565_0)))
    | ~ r3_lattices(esk563_0,X1,esk565_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk563_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3914,c_0_3789]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3922,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ v17_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0)))
    | ~ l3_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3915,c_0_3916])]) ).

cnf(c_0_3923,plain,
    l3_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3828,c_0_3917]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3924,plain,
    ~ v3_struct_0(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3830,c_0_3917]),c_0_3790]),c_0_3791])]),c_0_3792]) ).

cnf(c_0_3925,plain,
    ( v3_struct_0(X1)
    | v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1) ),
    i_0_455 ).

cnf(c_0_3926,negated_conjecture,
    v16_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3918,c_0_3919]),c_0_3900])]) ).

cnf(c_0_3927,plain,
    v11_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))),
    inference(sr,[status(thm)],[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_3920,c_0_3910]),c_0_3909]),c_0_3790]),c_0_3791])]),c_0_3911]),c_0_3792]) ).

cnf(c_0_3928,negated_conjecture,
    v15_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3921,c_0_3919]),c_0_3900])]) ).

cnf(c_0_3929,negated_conjecture,
    ~ v17_lattices(k23_filter_2(esk563_0,k22_filter_2(esk563_0,esk564_0,esk565_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3922,c_0_3923])]),c_0_3924]) ).

cnf(c_0_3930,plain,
    $false,
    inference(sr,[status(thm)],[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_3925,c_0_3926]),c_0_3927]),c_0_3928]),c_0_3923])]),c_0_3929]),c_0_3924]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT337+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n019.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
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 600
% 0.11/0.34  % DateTime : Thu Jun 30 16:29:11 EDT 2022
% 0.11/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.36/0.59  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.59  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.36/0.59  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.36/0.59  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 24.56/5.35  # ENIGMATIC: Solved by autoschedule-lgb:
% 24.56/5.35  # No SInE strategy applied
% 24.56/5.35  # Trying AutoSched0 for 150 seconds
% 24.56/5.35  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 24.56/5.35  # and selection function PSelectNewComplexAHP.
% 24.56/5.35  #
% 24.56/5.35  # Preprocessing time       : 0.022 s
% 24.56/5.35  # Presaturation interreduction done
% 24.56/5.35  
% 24.56/5.35  # Proof found!
% 24.56/5.35  # SZS status Theorem
% 24.56/5.35  # SZS output start CNFRefutation
% See solution above
% 24.56/5.35  # Training examples: 0 positive, 0 negative
% 24.56/5.35  
% 24.56/5.35  # -------------------------------------------------
% 24.56/5.35  # User time                : 1.898 s
% 24.56/5.35  # System time              : 0.048 s
% 24.56/5.35  # Total time               : 1.946 s
% 24.56/5.35  # Maximum resident set size: 7128 pages
% 24.56/5.35  
%------------------------------------------------------------------------------