TSTP Solution File: LAT322+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT322+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 04:29:36 EDT 2022

% Result   : Theorem 191.65s 27.59s
% Output   : CNFRefutation 191.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   46
% Syntax   : Number of clauses     :  160 (  33 unt;  86 nHn; 157 RR)
%            Number of literals    :  524 (  51 equ; 288 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_1135,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-y63zp7os/lgb.p',i_0_1135) ).

cnf(i_0_4717,negated_conjecture,
    m2_filter_2(esk692_0,esk691_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4717) ).

cnf(i_0_4720,negated_conjecture,
    v10_lattices(esk691_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4720) ).

cnf(i_0_4718,negated_conjecture,
    l3_lattices(esk691_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4718) ).

cnf(i_0_4721,negated_conjecture,
    ~ v3_struct_0(esk691_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4721) ).

cnf(i_0_1140,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-y63zp7os/lgb.p',i_0_1140) ).

cnf(i_0_619,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_619) ).

cnf(i_0_1178,plain,
    m1_subset_1(esk238_1(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1178) ).

cnf(i_0_828,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_828) ).

cnf(i_0_1103,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1103) ).

cnf(i_0_1105,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1105) ).

cnf(i_0_3008,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_3008) ).

cnf(i_0_4819,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4819) ).

cnf(i_0_1073,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1073) ).

cnf(i_0_1136,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1136) ).

cnf(i_0_5466,plain,
    ( X1 = X2
    | ~ v1_xboole_0(X2)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_5466) ).

cnf(i_0_1732,plain,
    v1_xboole_0(esk303_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1732) ).

cnf(i_0_533,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_533) ).

cnf(i_0_1902,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1902) ).

cnf(i_0_1438,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1438) ).

cnf(i_0_1876,plain,
    ( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1876) ).

cnf(i_0_1000,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1000) ).

cnf(i_0_4176,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4176) ).

cnf(i_0_4714,negated_conjecture,
    ( r2_filter_2(esk691_0,esk692_0)
    | v1_filter_2(esk692_0,esk691_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4714) ).

cnf(i_0_3684,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_3684) ).

cnf(i_0_4712,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4712) ).

cnf(i_0_4593,plain,
    ( v3_struct_0(X1)
    | v17_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4593) ).

cnf(i_0_4719,negated_conjecture,
    v17_lattices(esk691_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4719) ).

cnf(i_0_1289,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1289) ).

cnf(i_0_1081,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1081) ).

cnf(i_0_4925,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4925) ).

cnf(i_0_1297,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1297) ).

cnf(i_0_4912,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4912) ).

cnf(i_0_1001,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1001) ).

cnf(i_0_3402,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-y63zp7os/lgb.p',i_0_3402) ).

cnf(i_0_3685,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_3685) ).

cnf(i_0_4710,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4710) ).

cnf(i_0_4175,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4175) ).

cnf(i_0_2193,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_2193) ).

cnf(i_0_1392,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_1392) ).

cnf(i_0_4716,negated_conjecture,
    ( k17_filter_2(esk691_0) = esk692_0
    | ~ r2_filter_2(esk691_0,esk692_0)
    | ~ v1_filter_2(esk692_0,esk691_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4716) ).

cnf(i_0_925,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_925) ).

cnf(i_0_4121,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4121) ).

cnf(i_0_221,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/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_221) ).

cnf(i_0_2768,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_2768) ).

cnf(i_0_4715,negated_conjecture,
    ( r2_filter_2(esk691_0,esk692_0)
    | k17_filter_2(esk691_0) != esk692_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y63zp7os/lgb.p',i_0_4715) ).

cnf(c_0_5513,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_1135 ).

cnf(c_0_5514,negated_conjecture,
    m2_filter_2(esk692_0,esk691_0),
    i_0_4717 ).

cnf(c_0_5515,negated_conjecture,
    v10_lattices(esk691_0),
    i_0_4720 ).

cnf(c_0_5516,negated_conjecture,
    l3_lattices(esk691_0),
    i_0_4718 ).

cnf(c_0_5517,negated_conjecture,
    ~ v3_struct_0(esk691_0),
    i_0_4721 ).

cnf(c_0_5518,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_1140 ).

cnf(c_0_5519,negated_conjecture,
    m2_lattice4(esk692_0,esk691_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5513,c_0_5514]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5520,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_619 ).

cnf(c_0_5521,plain,
    m1_subset_1(esk238_1(X1),X1),
    i_0_1178 ).

cnf(c_0_5522,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_828 ).

cnf(c_0_5523,negated_conjecture,
    m1_subset_1(esk692_0,k1_zfmisc_1(u1_struct_0(esk691_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5518,c_0_5519]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5524,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_1103 ).

cnf(c_0_5525,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1105 ).

cnf(c_0_5526,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_3008 ).

cnf(c_0_5527,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    i_0_4819 ).

cnf(c_0_5528,plain,
    ( r2_hidden(esk238_1(X1),X1)
    | v1_xboole_0(X1) ),
    inference(spm,[status(thm)],[c_0_5520,c_0_5521]) ).

cnf(c_0_5529,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_1073 ).

cnf(c_0_5530,negated_conjecture,
    k7_filter_2(esk691_0,esk692_0) = esk692_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5522,c_0_5523]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5531,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_1136 ).

cnf(c_0_5532,plain,
    ( X1 = X2
    | ~ v1_xboole_0(X2)
    | ~ v1_xboole_0(X1) ),
    i_0_5466 ).

cnf(c_0_5533,plain,
    v1_xboole_0(esk303_0),
    i_0_1732 ).

cnf(c_0_5534,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_533 ).

cnf(c_0_5535,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5524,c_0_5525]) ).

cnf(c_0_5536,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_1902 ).

cnf(c_0_5537,negated_conjecture,
    m1_filter_2(esk692_0,k1_lattice2(esk691_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5526,c_0_5514]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5538,plain,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(spm,[status(thm)],[c_0_5527,c_0_5528]) ).

cnf(c_0_5539,negated_conjecture,
    m1_subset_1(esk692_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk691_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_5529,c_0_5523]),c_0_5530]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5540,negated_conjecture,
    ~ v1_xboole_0(esk692_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5531,c_0_5514]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5541,plain,
    ( esk303_0 = X1
    | ~ v1_xboole_0(X1) ),
    inference(spm,[status(thm)],[c_0_5532,c_0_5533]) ).

cnf(c_0_5542,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_5534,c_0_5535]) ).

cnf(c_0_5543,plain,
    ( m1_filter_0(esk692_0,k1_lattice2(esk691_0))
    | v3_struct_0(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(spm,[status(thm)],[c_0_5536,c_0_5537]) ).

cnf(c_0_5544,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1438 ).

cnf(c_0_5545,plain,
    ~ v1_xboole_0(u1_struct_0(k1_lattice2(esk691_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5538,c_0_5539]),c_0_5540]) ).

cnf(c_0_5546,plain,
    ( u1_struct_0(X1) = esk303_0
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_5541,c_0_5542]) ).

cnf(c_0_5547,plain,
    ( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_1876 ).

cnf(c_0_5548,plain,
    ( m1_filter_0(esk692_0,k1_lattice2(esk691_0))
    | v3_struct_0(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5543,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5549,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_1000 ).

cnf(c_0_5550,plain,
    ( ~ l3_lattices(k1_lattice2(esk691_0))
    | ~ v3_struct_0(k1_lattice2(esk691_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5545,c_0_5546]),c_0_5533])]) ).

cnf(c_0_5551,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_4176 ).

cnf(c_0_5552,negated_conjecture,
    ( r2_filter_2(esk691_0,esk692_0)
    | v1_filter_2(esk692_0,esk691_0) ),
    i_0_4714 ).

cnf(c_0_5553,negated_conjecture,
    k15_filter_2(esk691_0,esk692_0) = esk692_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_5547,c_0_5514]),c_0_5530]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5554,plain,
    ( m1_filter_0(esk692_0,k1_lattice2(esk691_0))
    | v3_struct_0(k1_lattice2(esk691_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5548,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5555,plain,
    ~ v3_struct_0(k1_lattice2(esk691_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5550,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5556,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_3684 ).

cnf(c_0_5557,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_4712 ).

cnf(c_0_5558,negated_conjecture,
    ( v2_filter_0(esk692_0,k1_lattice2(esk691_0))
    | r2_filter_2(esk691_0,esk692_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_5551,c_0_5552]),c_0_5553]),c_0_5515]),c_0_5516]),c_0_5514])]),c_0_5517]) ).

cnf(c_0_5559,plain,
    m1_filter_0(esk692_0,k1_lattice2(esk691_0)),
    inference(sr,[status(thm)],[c_0_5554,c_0_5555]) ).

cnf(c_0_5560,negated_conjecture,
    ( r2_filter_2(esk691_0,esk692_0)
    | ~ v1_filter_0(esk692_0,k1_lattice2(esk691_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_5556,c_0_5553]),c_0_5515]),c_0_5516]),c_0_5514])]),c_0_5517]) ).

cnf(c_0_5561,plain,
    ( k1_filter_0(k1_lattice2(esk691_0)) = esk692_0
    | r2_filter_2(esk691_0,esk692_0)
    | ~ v17_lattices(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5557,c_0_5558]),c_0_5559])]),c_0_5555]),c_0_5560]) ).

cnf(c_0_5562,plain,
    ( v3_struct_0(X1)
    | v17_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_4593 ).

cnf(c_0_5563,negated_conjecture,
    v17_lattices(esk691_0),
    i_0_4719 ).

cnf(c_0_5564,plain,
    ( k1_filter_0(k1_lattice2(esk691_0)) = esk692_0
    | r2_filter_2(esk691_0,esk692_0)
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_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_5561,c_0_5562]),c_0_5563]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5565,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_1289 ).

cnf(c_0_5566,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_1081 ).

cnf(c_0_5567,plain,
    ( k1_filter_0(k1_lattice2(esk691_0)) = esk692_0
    | r2_filter_2(esk691_0,esk692_0)
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5564,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5568,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_4925 ).

cnf(c_0_5569,plain,
    ( v10_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0))
    | v3_struct_0(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(spm,[status(thm)],[c_0_5565,c_0_5554]) ).

cnf(c_0_5570,plain,
    ( l3_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0))
    | v3_struct_0(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(spm,[status(thm)],[c_0_5566,c_0_5554]) ).

cnf(c_0_5571,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_1297 ).

cnf(c_0_5572,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_4912 ).

cnf(c_0_5573,plain,
    ( k1_filter_0(k1_lattice2(esk691_0)) = esk692_0
    | r2_filter_2(esk691_0,esk692_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5567,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5574,plain,
    ( u1_struct_0(k8_filter_0(k1_lattice2(esk691_0),esk692_0)) = esk692_0
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5568,c_0_5559]),c_0_5555]) ).

cnf(c_0_5575,plain,
    ( v10_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0))
    | v3_struct_0(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5569,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5576,plain,
    ( l3_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0))
    | v3_struct_0(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5570,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5577,plain,
    ( ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0))
    | ~ v3_struct_0(k8_filter_0(k1_lattice2(esk691_0),esk692_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5571,c_0_5559]),c_0_5555]) ).

cnf(c_0_5578,plain,
    ( k8_filter_0(k1_lattice2(esk691_0),esk692_0) = k1_lattice2(esk691_0)
    | r2_filter_2(esk691_0,esk692_0)
    | ~ v3_lattices(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5572,c_0_5573]),c_0_5555]) ).

cnf(c_0_5579,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_1001 ).

cnf(c_0_5580,plain,
    ( u1_struct_0(k8_filter_0(k1_lattice2(esk691_0),esk692_0)) = esk692_0
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5574,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5581,plain,
    ( v10_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0))
    | v3_struct_0(k1_lattice2(esk691_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5575,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5582,plain,
    ( l3_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0))
    | v3_struct_0(k1_lattice2(esk691_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5576,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5583,plain,
    ( ~ l3_lattices(k1_lattice2(esk691_0))
    | ~ v3_struct_0(k8_filter_0(k1_lattice2(esk691_0),esk692_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5577,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5584,plain,
    ( k8_filter_0(k1_lattice2(esk691_0),esk692_0) = k1_lattice2(esk691_0)
    | r2_filter_2(esk691_0,esk692_0)
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5578,c_0_5579]),c_0_5516])]) ).

cnf(c_0_5585,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_3402 ).

cnf(c_0_5586,plain,
    u1_struct_0(k8_filter_0(k1_lattice2(esk691_0),esk692_0)) = esk692_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5580,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5587,plain,
    v10_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0)),
    inference(sr,[status(thm)],[c_0_5581,c_0_5555]) ).

cnf(c_0_5588,plain,
    l3_lattices(k8_filter_0(k1_lattice2(esk691_0),esk692_0)),
    inference(sr,[status(thm)],[c_0_5582,c_0_5555]) ).

cnf(c_0_5589,plain,
    ~ v3_struct_0(k8_filter_0(k1_lattice2(esk691_0),esk692_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5583,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5590,plain,
    ( k8_filter_0(k1_lattice2(esk691_0),esk692_0) = k1_lattice2(esk691_0)
    | r2_filter_2(esk691_0,esk692_0)
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5584,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5591,plain,
    m2_filter_2(esk692_0,k8_filter_0(k1_lattice2(esk691_0),esk692_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5585,c_0_5586]),c_0_5587]),c_0_5588])]),c_0_5589]) ).

cnf(c_0_5592,plain,
    ( k8_filter_0(k1_lattice2(esk691_0),esk692_0) = k1_lattice2(esk691_0)
    | r2_filter_2(esk691_0,esk692_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5590,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5593,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_3685 ).

cnf(c_0_5594,plain,
    ( m2_filter_2(esk692_0,k1_lattice2(esk691_0))
    | r2_filter_2(esk691_0,esk692_0) ),
    inference(spm,[status(thm)],[c_0_5591,c_0_5592]) ).

cnf(c_0_5595,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_4710 ).

cnf(c_0_5596,plain,
    ( v1_filter_0(esk692_0,k1_lattice2(esk691_0))
    | m2_filter_2(esk692_0,k1_lattice2(esk691_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_5593,c_0_5594]),c_0_5553]),c_0_5515]),c_0_5516]),c_0_5514])]),c_0_5517]) ).

cnf(c_0_5597,plain,
    ( v2_filter_0(esk692_0,k1_lattice2(esk691_0))
    | m2_filter_2(esk692_0,k1_lattice2(esk691_0))
    | ~ v17_lattices(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5595,c_0_5596]),c_0_5559])]),c_0_5555]) ).

cnf(c_0_5598,plain,
    ( v2_filter_0(esk692_0,k1_lattice2(esk691_0))
    | m2_filter_2(esk692_0,k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_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_5597,c_0_5562]),c_0_5563]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5599,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_4175 ).

cnf(c_0_5600,plain,
    ( v2_filter_0(esk692_0,k1_lattice2(esk691_0))
    | m2_filter_2(esk692_0,k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5598,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5601,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_2193 ).

cnf(c_0_5602,negated_conjecture,
    ( v1_filter_2(esk692_0,esk691_0)
    | ~ v2_filter_0(esk692_0,k1_lattice2(esk691_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_5599,c_0_5553]),c_0_5515]),c_0_5516]),c_0_5514])]),c_0_5517]) ).

cnf(c_0_5603,plain,
    ( v2_filter_0(esk692_0,k1_lattice2(esk691_0))
    | m2_filter_2(esk692_0,k1_lattice2(esk691_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5600,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5604,plain,
    ( r2_hidden(k6_lattices(k1_lattice2(esk691_0)),esk692_0)
    | ~ v14_lattices(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5601,c_0_5559]),c_0_5555]) ).

cnf(c_0_5605,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_1392 ).

cnf(c_0_5606,negated_conjecture,
    ( k17_filter_2(esk691_0) = esk692_0
    | ~ r2_filter_2(esk691_0,esk692_0)
    | ~ v1_filter_2(esk692_0,esk691_0) ),
    i_0_4716 ).

cnf(c_0_5607,negated_conjecture,
    ( m2_filter_2(esk692_0,k1_lattice2(esk691_0))
    | v1_filter_2(esk692_0,esk691_0) ),
    inference(spm,[status(thm)],[c_0_5602,c_0_5603]) ).

cnf(c_0_5608,plain,
    ( r2_hidden(k6_lattices(k1_lattice2(esk691_0)),esk692_0)
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_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_5604,c_0_5605]),c_0_5563]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5609,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_925 ).

cnf(c_0_5610,negated_conjecture,
    ( k17_filter_2(esk691_0) = esk692_0
    | m2_filter_2(esk692_0,k1_lattice2(esk691_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5606,c_0_5607]),c_0_5594]) ).

cnf(c_0_5611,plain,
    ( r2_hidden(k6_lattices(k1_lattice2(esk691_0)),esk692_0)
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5608,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5612,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_4121 ).

cnf(c_0_5613,plain,
    ( u1_struct_0(esk691_0) = esk692_0
    | m2_filter_2(esk692_0,k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5609,c_0_5610]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5614,plain,
    r2_hidden(k6_lattices(k1_lattice2(esk691_0)),esk692_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5611,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5615,plain,
    ( u1_struct_0(k1_lattice2(esk691_0)) = esk692_0
    | u1_struct_0(esk691_0) = esk692_0
    | ~ v14_lattices(k1_lattice2(esk691_0))
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5612,c_0_5613]),c_0_5614])]),c_0_5555]) ).

cnf(c_0_5616,plain,
    ( u1_struct_0(k1_lattice2(esk691_0)) = esk692_0
    | u1_struct_0(esk691_0) = esk692_0
    | ~ v10_lattices(k1_lattice2(esk691_0))
    | ~ l3_lattices(k1_lattice2(esk691_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_5615,c_0_5605]),c_0_5563]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5617,plain,
    ( u1_struct_0(k1_lattice2(esk691_0)) = esk692_0
    | u1_struct_0(esk691_0) = esk692_0
    | ~ l3_lattices(k1_lattice2(esk691_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5616,c_0_5544]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5618,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_221 ).

cnf(c_0_5619,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_2768 ).

cnf(c_0_5620,plain,
    ( u1_struct_0(k1_lattice2(esk691_0)) = esk692_0
    | u1_struct_0(esk691_0) = esk692_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5617,c_0_5549]),c_0_5516])]) ).

cnf(c_0_5621,negated_conjecture,
    ( r2_filter_2(esk691_0,esk692_0)
    | k17_filter_2(esk691_0) != esk692_0 ),
    i_0_4715 ).

cnf(c_0_5622,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_5618]),c_0_5585]) ).

cnf(c_0_5623,plain,
    u1_struct_0(esk691_0) = esk692_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5619,c_0_5620]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5624,negated_conjecture,
    ( r2_filter_2(esk691_0,esk692_0)
    | u1_struct_0(esk691_0) != esk692_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5621,c_0_5609]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5625,plain,
    ~ r2_filter_2(esk691_0,esk692_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5622,c_0_5623]),c_0_5515]),c_0_5516])]),c_0_5517]) ).

cnf(c_0_5626,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5624,c_0_5623])]),c_0_5625]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT322+3 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n008.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 : Thu Jun 30 11:46:41 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.75/0.96  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.96  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.75/0.96  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.75/0.96  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 191.65/27.59  # ENIGMATIC: Solved by autoschedule-lgb:
% 191.65/27.59  # No SInE strategy applied
% 191.65/27.59  # Trying AutoSched0 for 149 seconds
% 191.65/27.59  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 191.65/27.59  # and selection function SelectCQIPrecWNTNp.
% 191.65/27.59  #
% 191.65/27.59  # Preprocessing time       : 0.037 s
% 191.65/27.59  # Presaturation interreduction done
% 191.65/27.59  
% 191.65/27.59  # Proof found!
% 191.65/27.59  # SZS status Theorem
% 191.65/27.59  # SZS output start CNFRefutation
% See solution above
% 191.65/27.59  # Training examples: 0 positive, 0 negative
% 191.65/27.59  
% 191.65/27.59  # -------------------------------------------------
% 191.65/27.59  # User time                : 22.142 s
% 191.65/27.59  # System time              : 0.461 s
% 191.65/27.59  # Total time               : 22.603 s
% 191.65/27.59  # Maximum resident set size: 7128 pages
% 191.65/27.59  
%------------------------------------------------------------------------------