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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT332+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 04:29:48 EDT 2022

% Result   : Theorem 25.08s 7.67s
% Output   : CNFRefutation 25.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   81 (   9 unt;  65 nHn;  81 RR)
%            Number of literals    :  329 (  47 equ; 186 neg)
%            Maximal clause size   :    8 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-3 aty)
%            Number of variables   :   97 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2380,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-39owr9kz/lgb.p',i_0_2380) ).

cnf(i_0_959,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k1_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_959) ).

cnf(i_0_5822,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-39owr9kz/lgb.p',i_0_5822) ).

cnf(i_0_6108,plain,
    ( k23_filter_2(X1,X2) = k8_filter_0(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-39owr9kz/lgb.p',i_0_6108) ).

cnf(i_0_1125,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-39owr9kz/lgb.p',i_0_1125) ).

cnf(i_0_1400,plain,
    ( v3_struct_0(X1)
    | v3_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-39owr9kz/lgb.p',i_0_1400) ).

cnf(i_0_399,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-39owr9kz/lgb.p',i_0_399) ).

cnf(i_0_1197,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-39owr9kz/lgb.p',i_0_1197) ).

cnf(i_0_1198,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-39owr9kz/lgb.p',i_0_1198) ).

cnf(i_0_1199,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-39owr9kz/lgb.p',i_0_1199) ).

cnf(i_0_2346,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_2346) ).

cnf(i_0_6223,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_6223) ).

cnf(i_0_5820,plain,
    ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_5820) ).

cnf(i_0_2939,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_2939) ).

cnf(i_0_2379,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-39owr9kz/lgb.p',i_0_2379) ).

cnf(i_0_400,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-39owr9kz/lgb.p',i_0_400) ).

cnf(i_0_541,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-39owr9kz/lgb.p',i_0_541) ).

cnf(i_0_5821,plain,
    ( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_5821) ).

cnf(i_0_5,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-39owr9kz/lgb.p',i_0_5) ).

cnf(i_0_6150,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk857_0),u2_lattices(esk857_0),u1_lattices(esk857_0)) != k23_filter_2(esk857_0,k17_filter_2(esk857_0))
    | g3_lattices(u1_struct_0(esk857_0),u2_lattices(esk857_0),u1_lattices(esk857_0)) != k23_filter_2(esk857_0,k1_filter_2(esk857_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_6150) ).

cnf(i_0_6152,negated_conjecture,
    v10_lattices(esk857_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_6152) ).

cnf(i_0_6151,negated_conjecture,
    l3_lattices(esk857_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_6151) ).

cnf(i_0_6153,negated_conjecture,
    ~ v3_struct_0(esk857_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-39owr9kz/lgb.p',i_0_6153) ).

cnf(i_0_840,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-39owr9kz/lgb.p',i_0_840) ).

cnf(c_0_6248,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_2380 ).

cnf(c_0_6249,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k1_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_959 ).

cnf(c_0_6250,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_5822 ).

cnf(c_0_6251,plain,
    ( m1_filter_0(k1_filter_2(X1),X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6248,c_0_6249]) ).

cnf(c_0_6252,plain,
    ( k23_filter_2(X1,X2) = k8_filter_0(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_6108 ).

cnf(c_0_6253,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_1125 ).

cnf(c_0_6254,plain,
    ( v3_struct_0(X1)
    | v3_lattices(k8_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_1400 ).

cnf(c_0_6255,plain,
    ( u1_struct_0(k8_filter_0(X1,k1_filter_2(X1))) = k1_filter_2(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6250,c_0_6251]) ).

cnf(c_0_6256,plain,
    ( k8_filter_0(X1,k1_filter_2(X1)) = k23_filter_2(X1,k1_filter_2(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6252,c_0_6249]) ).

cnf(c_0_6257,plain,
    ( l3_lattices(k8_filter_0(X1,k1_filter_2(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6253,c_0_6251]) ).

cnf(c_0_6258,plain,
    ( v3_lattices(k8_filter_0(X1,k1_filter_2(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6254,c_0_6251]) ).

cnf(c_0_6259,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_399 ).

cnf(c_0_6260,plain,
    ( l3_lattices(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2) ),
    i_0_1197 ).

cnf(c_0_6261,plain,
    ( v3_struct_0(X1)
    | v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_1198 ).

cnf(c_0_6262,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_1199 ).

cnf(c_0_6263,plain,
    ( u1_struct_0(k23_filter_2(X1,k1_filter_2(X1))) = k1_filter_2(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6255,c_0_6256]) ).

cnf(c_0_6264,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_2346 ).

cnf(c_0_6265,plain,
    ( l3_lattices(k23_filter_2(X1,k1_filter_2(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6257,c_0_6256]) ).

cnf(c_0_6266,plain,
    ( v3_lattices(k23_filter_2(X1,k1_filter_2(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6258,c_0_6256]) ).

cnf(c_0_6267,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_6259,c_0_6260]),c_0_6261]),c_0_6262]) ).

cnf(c_0_6268,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_6223 ).

cnf(c_0_6269,plain,
    ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_5820 ).

cnf(c_0_6270,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_2939 ).

cnf(c_0_6271,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_2379 ).

cnf(c_0_6272,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_400 ).

cnf(c_0_6273,plain,
    ( u1_struct_0(k23_filter_2(X1,k1_filter_0(X1))) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6263,c_0_6264]) ).

cnf(c_0_6274,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_541 ).

cnf(c_0_6275,plain,
    ( l3_lattices(k23_filter_2(X1,k1_filter_0(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6265,c_0_6264]) ).

cnf(c_0_6276,plain,
    ( v3_lattices(k23_filter_2(X1,k1_filter_0(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6266,c_0_6264]) ).

cnf(c_0_6277,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X1)) = u1_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6267,c_0_6268]) ).

cnf(c_0_6278,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X1)) = u1_lattices(k8_filter_0(X1,u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6269,c_0_6270]) ).

cnf(c_0_6279,plain,
    ( m1_filter_2(u1_struct_0(X1),X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6271,c_0_6270]) ).

cnf(c_0_6280,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_6272,c_0_6260]),c_0_6261]),c_0_6262]) ).

cnf(c_0_6281,plain,
    ( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_5821 ).

cnf(c_0_6282,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_5 ).

cnf(c_0_6283,plain,
    ( u1_struct_0(k23_filter_2(X1,u1_struct_0(X1))) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6273,c_0_6274]) ).

cnf(c_0_6284,plain,
    ( l3_lattices(k23_filter_2(X1,u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6275,c_0_6274]) ).

cnf(c_0_6285,plain,
    ( v3_lattices(k23_filter_2(X1,u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6276,c_0_6274]) ).

cnf(c_0_6286,plain,
    ( u1_lattices(k8_filter_0(X1,u1_struct_0(X1))) = u1_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6277,c_0_6278]) ).

cnf(c_0_6287,plain,
    ( k8_filter_0(X1,u1_struct_0(X1)) = k23_filter_2(X1,u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6252,c_0_6279]) ).

cnf(c_0_6288,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X1)) = u2_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6280,c_0_6268]) ).

cnf(c_0_6289,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X1)) = u2_lattices(k8_filter_0(X1,u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6281,c_0_6270]) ).

cnf(c_0_6290,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(k23_filter_2(X1,u1_struct_0(X1))),u1_lattices(k23_filter_2(X1,u1_struct_0(X1)))) = k23_filter_2(X1,u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6282,c_0_6283]),c_0_6284]),c_0_6285]) ).

cnf(c_0_6291,plain,
    ( u1_lattices(k23_filter_2(X1,u1_struct_0(X1))) = u1_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6286,c_0_6287]) ).

cnf(c_0_6292,plain,
    ( u2_lattices(k8_filter_0(X1,u1_struct_0(X1))) = u2_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6288,c_0_6289]) ).

cnf(c_0_6293,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(k23_filter_2(X1,u1_struct_0(X1))),u1_lattices(X1)) = k23_filter_2(X1,u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6290,c_0_6291]) ).

cnf(c_0_6294,plain,
    ( u2_lattices(k23_filter_2(X1,u1_struct_0(X1))) = u2_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6292,c_0_6287]) ).

cnf(c_0_6295,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk857_0),u2_lattices(esk857_0),u1_lattices(esk857_0)) != k23_filter_2(esk857_0,k17_filter_2(esk857_0))
    | g3_lattices(u1_struct_0(esk857_0),u2_lattices(esk857_0),u1_lattices(esk857_0)) != k23_filter_2(esk857_0,k1_filter_2(esk857_0)) ),
    i_0_6150 ).

cnf(c_0_6296,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = k23_filter_2(X1,u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6293,c_0_6294]) ).

cnf(c_0_6297,negated_conjecture,
    v10_lattices(esk857_0),
    i_0_6152 ).

cnf(c_0_6298,negated_conjecture,
    l3_lattices(esk857_0),
    i_0_6151 ).

cnf(c_0_6299,negated_conjecture,
    ~ v3_struct_0(esk857_0),
    i_0_6153 ).

cnf(c_0_6300,negated_conjecture,
    ( k23_filter_2(esk857_0,k17_filter_2(esk857_0)) != k23_filter_2(esk857_0,u1_struct_0(esk857_0))
    | k23_filter_2(esk857_0,k1_filter_2(esk857_0)) != k23_filter_2(esk857_0,u1_struct_0(esk857_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6295,c_0_6296]),c_0_6297]),c_0_6298])]),c_0_6299]) ).

cnf(c_0_6301,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_840 ).

cnf(c_0_6302,plain,
    k23_filter_2(esk857_0,k1_filter_2(esk857_0)) != k23_filter_2(esk857_0,u1_struct_0(esk857_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6300,c_0_6301]),c_0_6297]),c_0_6298])]),c_0_6299]) ).

cnf(c_0_6303,plain,
    k23_filter_2(esk857_0,k1_filter_0(esk857_0)) != k23_filter_2(esk857_0,u1_struct_0(esk857_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6302,c_0_6264]),c_0_6297]),c_0_6298])]),c_0_6299]) ).

cnf(c_0_6304,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6303,c_0_6274]),c_0_6297]),c_0_6298])]),c_0_6299]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT332+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 30 04:29:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 1.37/1.60  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.37/1.60  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.37/1.60  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.37/1.60  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 25.08/7.67  # ENIGMATIC: Solved by autoschedule-lgb:
% 25.08/7.67  # No SInE strategy applied
% 25.08/7.67  # Trying AutoSched0 for 148 seconds
% 25.08/7.67  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 25.08/7.67  # and selection function SelectCQIPrecWNTNp.
% 25.08/7.67  #
% 25.08/7.67  # Preprocessing time       : 0.035 s
% 25.08/7.67  # Presaturation interreduction done
% 25.08/7.67  
% 25.08/7.67  # Proof found!
% 25.08/7.67  # SZS status Theorem
% 25.08/7.67  # SZS output start CNFRefutation
% See solution above
% 25.08/7.67  # Training examples: 0 positive, 0 negative
% 25.08/7.67  
% 25.08/7.67  # -------------------------------------------------
% 25.08/7.67  # User time                : 1.271 s
% 25.08/7.67  # System time              : 0.038 s
% 25.08/7.67  # Total time               : 1.309 s
% 25.08/7.67  # Maximum resident set size: 7144 pages
% 25.08/7.67  
%------------------------------------------------------------------------------