TSTP Solution File: LAT322+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT322+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 14.71s 5.87s
% Output   : CNFRefutation 14.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   33
% Syntax   : Number of clauses     :  105 (  27 unt;  46 nHn; 105 RR)
%            Number of literals    :  331 (  34 equ; 184 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   81 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_934,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k17_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_934) ).

cnf(i_0_5170,negated_conjecture,
    v10_lattices(esk776_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5170) ).

cnf(i_0_5168,negated_conjecture,
    l3_lattices(esk776_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5168) ).

cnf(i_0_5171,negated_conjecture,
    ~ v3_struct_0(esk776_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5171) ).

cnf(i_0_1058,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_1058) ).

cnf(i_0_1060,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_1060) ).

cnf(i_0_1073,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-538ai1wf/lgb.p',i_0_1073) ).

cnf(i_0_852,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-538ai1wf/lgb.p',i_0_852) ).

cnf(i_0_467,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_467) ).

cnf(i_0_2737,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-538ai1wf/lgb.p',i_0_2737) ).

cnf(i_0_1398,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_1398) ).

cnf(i_0_1072,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-538ai1wf/lgb.p',i_0_1072) ).

cnf(i_0_5167,negated_conjecture,
    m2_filter_2(esk777_0,esk776_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5167) ).

cnf(i_0_520,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_520) ).

cnf(i_0_1077,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-538ai1wf/lgb.p',i_0_1077) ).

cnf(i_0_3066,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-538ai1wf/lgb.p',i_0_3066) ).

cnf(i_0_944,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_944) ).

cnf(i_0_772,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-538ai1wf/lgb.p',i_0_772) ).

cnf(i_0_1887,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-538ai1wf/lgb.p',i_0_1887) ).

cnf(i_0_5010,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-538ai1wf/lgb.p',i_0_5010) ).

cnf(i_0_5169,negated_conjecture,
    v17_lattices(esk776_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5169) ).

cnf(i_0_1859,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-538ai1wf/lgb.p',i_0_1859) ).

cnf(i_0_5162,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-538ai1wf/lgb.p',i_0_5162) ).

cnf(i_0_5160,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-538ai1wf/lgb.p',i_0_5160) ).

cnf(i_0_3899,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-538ai1wf/lgb.p',i_0_3899) ).

cnf(i_0_4514,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-538ai1wf/lgb.p',i_0_4514) ).

cnf(i_0_4513,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-538ai1wf/lgb.p',i_0_4513) ).

cnf(i_0_5166,negated_conjecture,
    ( k17_filter_2(esk776_0) = esk777_0
    | ~ r2_filter_2(esk776_0,esk777_0)
    | ~ v1_filter_2(esk777_0,esk776_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5166) ).

cnf(i_0_5164,negated_conjecture,
    ( r2_filter_2(esk776_0,esk777_0)
    | v1_filter_2(esk777_0,esk776_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5164) ).

cnf(i_0_3898,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-538ai1wf/lgb.p',i_0_3898) ).

cnf(i_0_5165,negated_conjecture,
    ( r2_filter_2(esk776_0,esk777_0)
    | k17_filter_2(esk776_0) != esk777_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-538ai1wf/lgb.p',i_0_5165) ).

cnf(i_0_203,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-538ai1wf/lgb.p',i_0_203) ).

cnf(i_0_3536,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-538ai1wf/lgb.p',i_0_3536) ).

cnf(c_0_5205,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k17_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_934 ).

cnf(c_0_5206,negated_conjecture,
    v10_lattices(esk776_0),
    i_0_5170 ).

cnf(c_0_5207,negated_conjecture,
    l3_lattices(esk776_0),
    i_0_5168 ).

cnf(c_0_5208,negated_conjecture,
    ~ v3_struct_0(esk776_0),
    i_0_5171 ).

cnf(c_0_5209,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_1058 ).

cnf(c_0_5210,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1060 ).

cnf(c_0_5211,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_1073 ).

cnf(c_0_5212,negated_conjecture,
    m2_filter_2(k17_filter_2(esk776_0),esk776_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5205,c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5213,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_852 ).

cnf(c_0_5214,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_467 ).

cnf(c_0_5215,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5209,c_0_5210]) ).

cnf(c_0_5216,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_2737 ).

cnf(c_0_5217,negated_conjecture,
    ~ v1_xboole_0(k17_filter_2(esk776_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5211,c_0_5212]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5218,negated_conjecture,
    k17_filter_2(esk776_0) = u1_struct_0(esk776_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5213,c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5219,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1398 ).

cnf(c_0_5220,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_1072 ).

cnf(c_0_5221,negated_conjecture,
    m2_filter_2(esk777_0,esk776_0),
    i_0_5167 ).

cnf(c_0_5222,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_5214,c_0_5215]) ).

cnf(c_0_5223,negated_conjecture,
    u1_struct_0(k1_lattice2(esk776_0)) = u1_struct_0(esk776_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5216,c_0_5207]),c_0_5208]) ).

cnf(c_0_5224,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk776_0)),
    inference(rw,[status(thm)],[c_0_5217,c_0_5218]) ).

cnf(c_0_5225,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_520 ).

cnf(c_0_5226,negated_conjecture,
    v10_lattices(k1_lattice2(esk776_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5219,c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5227,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_1077 ).

cnf(c_0_5228,negated_conjecture,
    m2_lattice4(esk777_0,esk776_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5220,c_0_5221]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5229,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_3066 ).

cnf(c_0_5230,negated_conjecture,
    ( ~ l3_lattices(k1_lattice2(esk776_0))
    | ~ v3_struct_0(k1_lattice2(esk776_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5222,c_0_5223]),c_0_5224]) ).

cnf(c_0_5231,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_944 ).

cnf(c_0_5232,negated_conjecture,
    ( k1_filter_0(k1_lattice2(esk776_0)) = u1_struct_0(esk776_0)
    | v3_struct_0(k1_lattice2(esk776_0))
    | ~ l3_lattices(k1_lattice2(esk776_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5225,c_0_5226]),c_0_5223]) ).

cnf(c_0_5233,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_772 ).

cnf(c_0_5234,negated_conjecture,
    m1_subset_1(esk777_0,k1_zfmisc_1(u1_struct_0(esk776_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5227,c_0_5228]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5235,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_1887 ).

cnf(c_0_5236,negated_conjecture,
    m1_filter_2(esk777_0,k1_lattice2(esk776_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5229,c_0_5221]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5237,plain,
    ~ v3_struct_0(k1_lattice2(esk776_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5230,c_0_5231]),c_0_5207])]) ).

cnf(c_0_5238,plain,
    ( k1_filter_0(k1_lattice2(esk776_0)) = u1_struct_0(esk776_0)
    | v3_struct_0(k1_lattice2(esk776_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5232,c_0_5231]),c_0_5207])]) ).

cnf(c_0_5239,plain,
    ( v3_struct_0(X1)
    | v17_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_5010 ).

cnf(c_0_5240,negated_conjecture,
    v17_lattices(esk776_0),
    i_0_5169 ).

cnf(c_0_5241,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_1859 ).

cnf(c_0_5242,negated_conjecture,
    k7_filter_2(esk776_0,esk777_0) = esk777_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5233,c_0_5234]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5243,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_5162 ).

cnf(c_0_5244,plain,
    ( m1_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ l3_lattices(k1_lattice2(esk776_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5235,c_0_5236]),c_0_5226])]),c_0_5237]) ).

cnf(c_0_5245,plain,
    k1_filter_0(k1_lattice2(esk776_0)) = u1_struct_0(esk776_0),
    inference(sr,[status(thm)],[c_0_5238,c_0_5237]) ).

cnf(c_0_5246,negated_conjecture,
    v17_lattices(k1_lattice2(esk776_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5239,c_0_5240]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5247,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_5160 ).

cnf(c_0_5248,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_3899 ).

cnf(c_0_5249,negated_conjecture,
    k15_filter_2(esk776_0,esk777_0) = esk777_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_5241,c_0_5221]),c_0_5242]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5250,plain,
    ( u1_struct_0(esk776_0) = esk777_0
    | v1_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ v2_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ l3_lattices(k1_lattice2(esk776_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_5243,c_0_5244]),c_0_5245]),c_0_5246]),c_0_5226])]),c_0_5237]) ).

cnf(c_0_5251,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_4514 ).

cnf(c_0_5252,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_4513 ).

cnf(c_0_5253,plain,
    ( v2_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ v1_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ l3_lattices(k1_lattice2(esk776_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5247,c_0_5244]),c_0_5246]),c_0_5226])]),c_0_5237]) ).

cnf(c_0_5254,negated_conjecture,
    ( v1_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ r2_filter_2(esk776_0,esk777_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_5248,c_0_5221]),c_0_5249]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5255,plain,
    ( u1_struct_0(esk776_0) = esk777_0
    | v1_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ v2_filter_0(esk777_0,k1_lattice2(esk776_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5250,c_0_5231]),c_0_5207])]) ).

cnf(c_0_5256,negated_conjecture,
    ( v2_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ v1_filter_2(esk777_0,esk776_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_5251,c_0_5221]),c_0_5249]),c_0_5206]),c_0_5207])]),c_0_5208]) ).

cnf(c_0_5257,negated_conjecture,
    ( k17_filter_2(esk776_0) = esk777_0
    | ~ r2_filter_2(esk776_0,esk777_0)
    | ~ v1_filter_2(esk777_0,esk776_0) ),
    i_0_5166 ).

cnf(c_0_5258,negated_conjecture,
    ( v1_filter_2(esk777_0,esk776_0)
    | ~ v2_filter_0(esk777_0,k1_lattice2(esk776_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_5252,c_0_5249]),c_0_5206]),c_0_5207]),c_0_5221])]),c_0_5208]) ).

cnf(c_0_5259,plain,
    ( v2_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ l3_lattices(k1_lattice2(esk776_0))
    | ~ r2_filter_2(esk776_0,esk777_0) ),
    inference(spm,[status(thm)],[c_0_5253,c_0_5254]) ).

cnf(c_0_5260,negated_conjecture,
    ( r2_filter_2(esk776_0,esk777_0)
    | v1_filter_2(esk777_0,esk776_0) ),
    i_0_5164 ).

cnf(c_0_5261,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_3898 ).

cnf(c_0_5262,negated_conjecture,
    ( u1_struct_0(esk776_0) = esk777_0
    | v1_filter_0(esk777_0,k1_lattice2(esk776_0))
    | ~ v1_filter_2(esk777_0,esk776_0) ),
    inference(spm,[status(thm)],[c_0_5255,c_0_5256]) ).

cnf(c_0_5263,negated_conjecture,
    ( r2_filter_2(esk776_0,esk777_0)
    | k17_filter_2(esk776_0) != esk777_0 ),
    i_0_5165 ).

cnf(c_0_5264,negated_conjecture,
    ( u1_struct_0(esk776_0) = esk777_0
    | ~ v1_filter_2(esk777_0,esk776_0)
    | ~ r2_filter_2(esk776_0,esk777_0) ),
    inference(spm,[status(thm)],[c_0_5257,c_0_5218]) ).

cnf(c_0_5265,negated_conjecture,
    ( v1_filter_2(esk777_0,esk776_0)
    | ~ l3_lattices(k1_lattice2(esk776_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5258,c_0_5259]),c_0_5260]) ).

cnf(c_0_5266,negated_conjecture,
    ( r2_filter_2(esk776_0,esk777_0)
    | ~ v1_filter_0(esk777_0,k1_lattice2(esk776_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_5261,c_0_5249]),c_0_5206]),c_0_5207]),c_0_5221])]),c_0_5208]) ).

cnf(c_0_5267,negated_conjecture,
    ( u1_struct_0(esk776_0) = esk777_0
    | v1_filter_0(esk777_0,k1_lattice2(esk776_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5262,c_0_5260]),c_0_5254]) ).

cnf(c_0_5268,negated_conjecture,
    ( r2_filter_2(esk776_0,esk777_0)
    | u1_struct_0(esk776_0) != esk777_0 ),
    inference(rw,[status(thm)],[c_0_5263,c_0_5218]) ).

cnf(c_0_5269,negated_conjecture,
    ( u1_struct_0(esk776_0) = esk777_0
    | ~ l3_lattices(k1_lattice2(esk776_0))
    | ~ r2_filter_2(esk776_0,esk777_0) ),
    inference(spm,[status(thm)],[c_0_5264,c_0_5265]) ).

cnf(c_0_5270,negated_conjecture,
    r2_filter_2(esk776_0,esk777_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5266,c_0_5267]),c_0_5268]) ).

cnf(c_0_5271,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_203 ).

cnf(c_0_5272,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_3536 ).

cnf(c_0_5273,negated_conjecture,
    ( u1_struct_0(esk776_0) = esk777_0
    | ~ l3_lattices(k1_lattice2(esk776_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5269,c_0_5270])]) ).

cnf(c_0_5274,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_5271]),c_0_5272]) ).

cnf(c_0_5275,plain,
    u1_struct_0(esk776_0) = esk777_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5273,c_0_5231]),c_0_5207])]) ).

cnf(c_0_5276,plain,
    $false,
    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_5274,c_0_5275]),c_0_5206]),c_0_5207]),c_0_5270])]),c_0_5208]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT322+4 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n027.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 14:08:13 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 1.35/1.55  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/1.55  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.35/1.55  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.35/1.55  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 14.71/5.87  # ENIGMATIC: Solved by autoschedule-lgb:
% 14.71/5.87  # No SInE strategy applied
% 14.71/5.87  # Trying AutoSched0 for 149 seconds
% 14.71/5.87  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.71/5.87  # and selection function SelectComplexExceptUniqMaxHorn.
% 14.71/5.87  #
% 14.71/5.87  # Preprocessing time       : 0.039 s
% 14.71/5.87  # Presaturation interreduction done
% 14.71/5.87  
% 14.71/5.87  # Proof found!
% 14.71/5.87  # SZS status Theorem
% 14.71/5.87  # SZS output start CNFRefutation
% See solution above
% 14.71/5.87  # Training examples: 0 positive, 0 negative
% 14.71/5.87  
% 14.71/5.87  # -------------------------------------------------
% 14.71/5.87  # User time                : 0.482 s
% 14.71/5.87  # System time              : 0.018 s
% 14.71/5.87  # Total time               : 0.499 s
% 14.71/5.87  # Maximum resident set size: 7128 pages
% 14.71/5.87  
%------------------------------------------------------------------------------