TSTP Solution File: LAT337+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT337+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 14.15s 5.28s
% Output   : CNFRefutation 14.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   65 (  21 unt;  34 nHn;  65 RR)
%            Number of literals    :  253 (   0 equ; 148 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1363,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-k_3kk90q/lgb.p',i_0_1363) ).

cnf(i_0_6127,negated_conjecture,
    m1_subset_1(esk820_0,u1_struct_0(esk818_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6127) ).

cnf(i_0_6130,negated_conjecture,
    v10_lattices(esk818_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6130) ).

cnf(i_0_6129,negated_conjecture,
    l3_lattices(esk818_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6129) ).

cnf(i_0_6131,negated_conjecture,
    ~ v3_struct_0(esk818_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6131) ).

cnf(i_0_839,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_839) ).

cnf(i_0_6124,negated_conjecture,
    v17_lattices(esk818_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6124) ).

cnf(i_0_5939,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v11_lattices(k23_filter_2(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_5939) ).

cnf(i_0_4555,plain,
    ( v3_struct_0(X1)
    | v3_filter_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_4555) ).

cnf(i_0_6128,negated_conjecture,
    m1_subset_1(esk819_0,u1_struct_0(esk818_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6128) ).

cnf(i_0_840,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_840) ).

cnf(i_0_841,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_841) ).

cnf(i_0_48,plain,
    ( v3_struct_0(X1)
    | v12_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v3_filter_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_48) ).

cnf(i_0_838,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-k_3kk90q/lgb.p',i_0_838) ).

cnf(i_0_6111,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-k_3kk90q/lgb.p',i_0_6111) ).

cnf(i_0_6122,negated_conjecture,
    r3_lattices(esk818_0,esk819_0,esk820_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6122) ).

cnf(i_0_6064,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-k_3kk90q/lgb.p',i_0_6064) ).

cnf(i_0_6110,plain,
    ( v3_struct_0(X1)
    | l3_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-k_3kk90q/lgb.p',i_0_6110) ).

cnf(i_0_1882,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v10_lattices(k23_filter_2(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_1882) ).

cnf(i_0_6121,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ l3_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ v10_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ v17_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6121) ).

cnf(i_0_6114,plain,
    ( v3_struct_0(X1)
    | ~ 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))
    | ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_3kk90q/lgb.p',i_0_6114) ).

cnf(i_0_1364,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-k_3kk90q/lgb.p',i_0_1364) ).

cnf(c_0_6154,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_1363 ).

cnf(c_0_6155,negated_conjecture,
    m1_subset_1(esk820_0,u1_struct_0(esk818_0)),
    i_0_6127 ).

cnf(c_0_6156,negated_conjecture,
    v10_lattices(esk818_0),
    i_0_6130 ).

cnf(c_0_6157,negated_conjecture,
    l3_lattices(esk818_0),
    i_0_6129 ).

cnf(c_0_6158,negated_conjecture,
    ~ v3_struct_0(esk818_0),
    i_0_6131 ).

cnf(c_0_6159,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_839 ).

cnf(c_0_6160,negated_conjecture,
    v17_lattices(esk818_0),
    i_0_6124 ).

cnf(c_0_6161,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v11_lattices(k23_filter_2(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_5939 ).

cnf(c_0_6162,negated_conjecture,
    ( m2_lattice4(k22_filter_2(esk818_0,X1,esk820_0),esk818_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk818_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6154,c_0_6155]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6163,negated_conjecture,
    v11_lattices(esk818_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6159,c_0_6160]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6164,plain,
    ( v3_struct_0(X1)
    | v3_filter_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_4555 ).

cnf(c_0_6165,plain,
    ( v11_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,X1,esk820_0)))
    | v1_xboole_0(k22_filter_2(esk818_0,X1,esk820_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk818_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_6161,c_0_6162]),c_0_6163]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6166,negated_conjecture,
    m1_subset_1(esk819_0,u1_struct_0(esk818_0)),
    i_0_6128 ).

cnf(c_0_6167,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_840 ).

cnf(c_0_6168,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_841 ).

cnf(c_0_6169,plain,
    ( v3_struct_0(X1)
    | v12_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v3_filter_0(X1) ),
    i_0_48 ).

cnf(c_0_6170,negated_conjecture,
    v3_filter_0(esk818_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6164,c_0_6160]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6171,plain,
    ( v3_struct_0(X1)
    | v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1) ),
    i_0_838 ).

cnf(c_0_6172,negated_conjecture,
    ( v11_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0)) ),
    inference(spm,[status(thm)],[c_0_6165,c_0_6166]) ).

cnf(c_0_6173,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_6111 ).

cnf(c_0_6174,negated_conjecture,
    v16_lattices(esk818_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6167,c_0_6160]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6175,negated_conjecture,
    v15_lattices(esk818_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6168,c_0_6160]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6176,negated_conjecture,
    v12_lattices(esk818_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6169,c_0_6170]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6177,plain,
    ( v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0))
    | v17_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ v16_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ v15_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ l3_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    inference(spm,[status(thm)],[c_0_6171,c_0_6172]) ).

cnf(c_0_6178,negated_conjecture,
    ( v16_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,X1,esk820_0)))
    | ~ r3_lattices(esk818_0,X1,esk820_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk818_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6173,c_0_6155]),c_0_6174]),c_0_6175]),c_0_6176]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6179,negated_conjecture,
    r3_lattices(esk818_0,esk819_0,esk820_0),
    i_0_6122 ).

cnf(c_0_6180,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_6064 ).

cnf(c_0_6181,negated_conjecture,
    ( v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0))
    | v17_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ v15_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ l3_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6177,c_0_6178]),c_0_6179]),c_0_6166])]) ).

cnf(c_0_6182,negated_conjecture,
    ( v15_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,X1,esk820_0)))
    | ~ r3_lattices(esk818_0,X1,esk820_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk818_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6180,c_0_6155]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6183,plain,
    ( v3_struct_0(X1)
    | l3_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_6110 ).

cnf(c_0_6184,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v10_lattices(k23_filter_2(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_1882 ).

cnf(c_0_6185,negated_conjecture,
    ( v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0))
    | v17_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ l3_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6181,c_0_6182]),c_0_6179]),c_0_6166])]) ).

cnf(c_0_6186,negated_conjecture,
    ( l3_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,X1,esk820_0)))
    | ~ r3_lattices(esk818_0,X1,esk820_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk818_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6183,c_0_6155]),c_0_6174]),c_0_6175]),c_0_6176]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6187,plain,
    ( v1_xboole_0(k22_filter_2(esk818_0,X1,esk820_0))
    | v10_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,X1,esk820_0)))
    | ~ m1_subset_1(X1,u1_struct_0(esk818_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6184,c_0_6162]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6188,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ l3_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ v10_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ v17_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    i_0_6121 ).

cnf(c_0_6189,negated_conjecture,
    ( v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0))
    | v17_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6185,c_0_6186]),c_0_6179]),c_0_6166])]) ).

cnf(c_0_6190,negated_conjecture,
    ( v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0))
    | v10_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    inference(spm,[status(thm)],[c_0_6187,c_0_6166]) ).

cnf(c_0_6191,negated_conjecture,
    ( v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0))
    | v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0)))
    | ~ l3_lattices(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6188,c_0_6189]),c_0_6190]) ).

cnf(c_0_6192,plain,
    ( v3_struct_0(X1)
    | ~ 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))
    | ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
    i_0_6114 ).

cnf(c_0_6193,negated_conjecture,
    ( v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_0))
    | v3_struct_0(k23_filter_2(esk818_0,k22_filter_2(esk818_0,esk819_0,esk820_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6191,c_0_6186]),c_0_6179]),c_0_6166])]) ).

cnf(c_0_6194,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_1364 ).

cnf(c_0_6195,plain,
    v1_xboole_0(k22_filter_2(esk818_0,esk819_0,esk820_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6192,c_0_6193]),c_0_6174]),c_0_6175]),c_0_6176]),c_0_6179]),c_0_6155]),c_0_6166]),c_0_6156]),c_0_6157])]),c_0_6158]) ).

cnf(c_0_6196,plain,
    $false,
    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_6194,c_0_6195]),c_0_6166]),c_0_6155]),c_0_6156]),c_0_6157])]),c_0_6158]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT337+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 02:56:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.73/0.91  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.91  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.73/0.91  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.73/0.91  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 14.15/5.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 14.15/5.28  # No SInE strategy applied
% 14.15/5.28  # Trying AutoSched0 for 149 seconds
% 14.15/5.28  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.15/5.28  # and selection function SelectComplexExceptUniqMaxHorn.
% 14.15/5.28  #
% 14.15/5.28  # Preprocessing time       : 0.023 s
% 14.15/5.28  # Presaturation interreduction done
% 14.15/5.28  
% 14.15/5.28  # Proof found!
% 14.15/5.28  # SZS status Theorem
% 14.15/5.28  # SZS output start CNFRefutation
% See solution above
% 14.15/5.28  # Training examples: 0 positive, 0 negative
% 14.15/5.28  
% 14.15/5.28  # -------------------------------------------------
% 14.15/5.28  # User time                : 0.428 s
% 14.15/5.28  # System time              : 0.012 s
% 14.15/5.28  # Total time               : 0.440 s
% 14.15/5.28  # Maximum resident set size: 7140 pages
% 14.15/5.28  
%------------------------------------------------------------------------------