TSTP Solution File: LAT332+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT332+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 20.07s 6.09s
% Output   : CNFRefutation 20.07s
% 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_2046,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_2046) ).

cnf(i_0_958,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k1_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_958) ).

cnf(i_0_4927,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_4927) ).

cnf(i_0_5195,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_5195) ).

cnf(i_0_1074,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_1074) ).

cnf(i_0_1318,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_1318) ).

cnf(i_0_382,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_382) ).

cnf(i_0_1134,plain,
    ( l3_lattices(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_1134) ).

cnf(i_0_1135,plain,
    ( v3_struct_0(X1)
    | v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_1135) ).

cnf(i_0_1136,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_1136) ).

cnf(i_0_2010,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_2010) ).

cnf(i_0_5312,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_5312) ).

cnf(i_0_4925,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_4925) ).

cnf(i_0_2557,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_2557) ).

cnf(i_0_2045,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_2045) ).

cnf(i_0_383,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_383) ).

cnf(i_0_531,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_531) ).

cnf(i_0_4926,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/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_4926) ).

cnf(i_0_8,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_8) ).

cnf(i_0_5250,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk716_0),u2_lattices(esk716_0),u1_lattices(esk716_0)) != k23_filter_2(esk716_0,k17_filter_2(esk716_0))
    | g3_lattices(u1_struct_0(esk716_0),u2_lattices(esk716_0),u1_lattices(esk716_0)) != k23_filter_2(esk716_0,k1_filter_2(esk716_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_5250) ).

cnf(i_0_5252,negated_conjecture,
    v10_lattices(esk716_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_5252) ).

cnf(i_0_5251,negated_conjecture,
    l3_lattices(esk716_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_5251) ).

cnf(i_0_5253,negated_conjecture,
    ~ v3_struct_0(esk716_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_5253) ).

cnf(i_0_869,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4xen6w86/lgb.p',i_0_869) ).

cnf(c_0_5337,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_2046 ).

cnf(c_0_5338,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k1_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_958 ).

cnf(c_0_5339,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_4927 ).

cnf(c_0_5340,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_5337,c_0_5338]) ).

cnf(c_0_5341,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_5195 ).

cnf(c_0_5342,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_1074 ).

cnf(c_0_5343,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_1318 ).

cnf(c_0_5344,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_5339,c_0_5340]) ).

cnf(c_0_5345,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_5341,c_0_5338]) ).

cnf(c_0_5346,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_5342,c_0_5340]) ).

cnf(c_0_5347,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_5343,c_0_5340]) ).

cnf(c_0_5348,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_382 ).

cnf(c_0_5349,plain,
    ( l3_lattices(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2) ),
    i_0_1134 ).

cnf(c_0_5350,plain,
    ( v3_struct_0(X1)
    | v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_1135 ).

cnf(c_0_5351,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_1136 ).

cnf(c_0_5352,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_5344,c_0_5345]) ).

cnf(c_0_5353,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_2010 ).

cnf(c_0_5354,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_5346,c_0_5345]) ).

cnf(c_0_5355,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_5347,c_0_5345]) ).

cnf(c_0_5356,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_5348,c_0_5349]),c_0_5350]),c_0_5351]) ).

cnf(c_0_5357,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_5312 ).

cnf(c_0_5358,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_4925 ).

cnf(c_0_5359,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_2557 ).

cnf(c_0_5360,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_2045 ).

cnf(c_0_5361,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_383 ).

cnf(c_0_5362,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_5352,c_0_5353]) ).

cnf(c_0_5363,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_531 ).

cnf(c_0_5364,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_5354,c_0_5353]) ).

cnf(c_0_5365,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_5355,c_0_5353]) ).

cnf(c_0_5366,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_5356,c_0_5357]) ).

cnf(c_0_5367,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_5358,c_0_5359]) ).

cnf(c_0_5368,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_5360,c_0_5359]) ).

cnf(c_0_5369,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_5361,c_0_5349]),c_0_5350]),c_0_5351]) ).

cnf(c_0_5370,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_4926 ).

cnf(c_0_5371,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_8 ).

cnf(c_0_5372,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_5362,c_0_5363]) ).

cnf(c_0_5373,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_5364,c_0_5363]) ).

cnf(c_0_5374,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_5365,c_0_5363]) ).

cnf(c_0_5375,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_5366,c_0_5367]) ).

cnf(c_0_5376,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_5341,c_0_5368]) ).

cnf(c_0_5377,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_5369,c_0_5357]) ).

cnf(c_0_5378,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_5370,c_0_5359]) ).

cnf(c_0_5379,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_5371,c_0_5372]),c_0_5373]),c_0_5374]) ).

cnf(c_0_5380,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_5375,c_0_5376]) ).

cnf(c_0_5381,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_5377,c_0_5378]) ).

cnf(c_0_5382,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_5379,c_0_5380]) ).

cnf(c_0_5383,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_5381,c_0_5376]) ).

cnf(c_0_5384,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk716_0),u2_lattices(esk716_0),u1_lattices(esk716_0)) != k23_filter_2(esk716_0,k17_filter_2(esk716_0))
    | g3_lattices(u1_struct_0(esk716_0),u2_lattices(esk716_0),u1_lattices(esk716_0)) != k23_filter_2(esk716_0,k1_filter_2(esk716_0)) ),
    i_0_5250 ).

cnf(c_0_5385,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_5382,c_0_5383]) ).

cnf(c_0_5386,negated_conjecture,
    v10_lattices(esk716_0),
    i_0_5252 ).

cnf(c_0_5387,negated_conjecture,
    l3_lattices(esk716_0),
    i_0_5251 ).

cnf(c_0_5388,negated_conjecture,
    ~ v3_struct_0(esk716_0),
    i_0_5253 ).

cnf(c_0_5389,negated_conjecture,
    ( k23_filter_2(esk716_0,k17_filter_2(esk716_0)) != k23_filter_2(esk716_0,u1_struct_0(esk716_0))
    | k23_filter_2(esk716_0,k1_filter_2(esk716_0)) != k23_filter_2(esk716_0,u1_struct_0(esk716_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5384,c_0_5385]),c_0_5386]),c_0_5387])]),c_0_5388]) ).

cnf(c_0_5390,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_869 ).

cnf(c_0_5391,plain,
    k23_filter_2(esk716_0,k1_filter_2(esk716_0)) != k23_filter_2(esk716_0,u1_struct_0(esk716_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5389,c_0_5390]),c_0_5386]),c_0_5387])]),c_0_5388]) ).

cnf(c_0_5392,plain,
    k23_filter_2(esk716_0,k1_filter_0(esk716_0)) != k23_filter_2(esk716_0,u1_struct_0(esk716_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5391,c_0_5353]),c_0_5386]),c_0_5387])]),c_0_5388]) ).

cnf(c_0_5393,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5392,c_0_5363]),c_0_5386]),c_0_5387])]),c_0_5388]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT332+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 28 23:25:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.45  # ENIGMATIC: Selected SinE mode:
% 0.78/0.94  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.94  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.78/0.94  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.78/0.94  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 20.07/6.09  # ENIGMATIC: Solved by autoschedule-lgb:
% 20.07/6.09  # No SInE strategy applied
% 20.07/6.09  # Trying AutoSched0 for 149 seconds
% 20.07/6.09  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 20.07/6.09  # and selection function SelectCQIPrecWNTNp.
% 20.07/6.09  #
% 20.07/6.09  # Preprocessing time       : 0.019 s
% 20.07/6.09  # Presaturation interreduction done
% 20.07/6.09  
% 20.07/6.09  # Proof found!
% 20.07/6.09  # SZS status Theorem
% 20.07/6.09  # SZS output start CNFRefutation
% See solution above
% 20.07/6.09  # Training examples: 0 positive, 0 negative
% 20.07/6.09  
% 20.07/6.09  # -------------------------------------------------
% 20.07/6.09  # User time                : 0.957 s
% 20.07/6.09  # System time              : 0.031 s
% 20.07/6.09  # Total time               : 0.988 s
% 20.07/6.09  # Maximum resident set size: 7124 pages
% 20.07/6.09  
%------------------------------------------------------------------------------