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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT308+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 04:29:19 EDT 2022

% Result   : Theorem 49.80s 11.66s
% Output   : CNFRefutation 49.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   92 (  29 unt;  38 nHn;  92 RR)
%            Number of literals    :  310 (  18 equ; 183 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  115 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1581,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_1581) ).

cnf(i_0_1583,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_1583) ).

cnf(i_0_2855,plain,
    ( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_2855) ).

cnf(i_0_5512,negated_conjecture,
    m1_subset_1(esk804_0,u1_struct_0(esk802_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5512) ).

cnf(i_0_5515,negated_conjecture,
    v10_lattices(esk802_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5515) ).

cnf(i_0_5514,negated_conjecture,
    l3_lattices(esk802_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5514) ).

cnf(i_0_5516,negated_conjecture,
    ~ v3_struct_0(esk802_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5516) ).

cnf(i_0_917,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_917) ).

cnf(i_0_5163,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5163) ).

cnf(i_0_1497,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k2_filter_2(X1,X2),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_1497) ).

cnf(i_0_10219,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(X3,X2)
    | ~ epred47_2(X2,X4)
    | ~ r3_lattices(X4,X3,X1)
    | ~ m1_subset_1(X1,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_10219) ).

cnf(i_0_4998,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_4998) ).

cnf(i_0_5510,negated_conjecture,
    k18_filter_2(esk802_0,esk803_0) = u1_struct_0(esk802_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5510) ).

cnf(i_0_5513,negated_conjecture,
    m1_subset_1(esk803_0,u1_struct_0(esk802_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5513) ).

cnf(i_0_4171,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_4171) ).

cnf(i_0_8401,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | epred47_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_8401) ).

cnf(i_0_1586,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_1586) ).

cnf(i_0_1587,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_1587) ).

cnf(i_0_2874,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-2e2dov3j/lgb.p',i_0_2874) ).

cnf(i_0_1560,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_1560) ).

cnf(i_0_677,plain,
    ( v3_struct_0(X1)
    | v4_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_677) ).

cnf(i_0_1078,plain,
    ( k1_lattices(X1,X2,X3) = X3
    | v3_struct_0(X1)
    | ~ l2_lattices(X1)
    | ~ r1_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-2e2dov3j/lgb.p',i_0_1078) ).

cnf(i_0_2858,plain,
    ( k1_lattices(X1,X2,X3) = k3_lattices(X1,X2,X3)
    | v3_struct_0(X1)
    | ~ v4_lattices(X1)
    | ~ l2_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-2e2dov3j/lgb.p',i_0_2858) ).

cnf(i_0_672,plain,
    ( v3_struct_0(X1)
    | v9_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_672) ).

cnf(i_0_675,plain,
    ( v3_struct_0(X1)
    | v8_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_675) ).

cnf(i_0_674,plain,
    ( v3_struct_0(X1)
    | v6_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_674) ).

cnf(i_0_4011,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k2_filter_0(X1,X2))
    | ~ 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-2e2dov3j/lgb.p',i_0_4011) ).

cnf(i_0_2888,plain,
    ( v3_struct_0(X1)
    | r1_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v6_lattices(X1)
    | ~ v8_lattices(X1)
    | ~ v9_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-2e2dov3j/lgb.p',i_0_2888) ).

cnf(i_0_638,plain,
    ( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
    | v3_struct_0(X1)
    | ~ v4_lattices(X1)
    | ~ l2_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-2e2dov3j/lgb.p',i_0_638) ).

cnf(i_0_3913,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k2_filter_0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_3913) ).

cnf(i_0_5511,negated_conjecture,
    k3_lattices(esk802_0,esk803_0,esk804_0) != esk803_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2e2dov3j/lgb.p',i_0_5511) ).

cnf(c_0_10251,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_1581 ).

cnf(c_0_10252,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1583 ).

cnf(c_0_10253,plain,
    ( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_2855 ).

cnf(c_0_10254,negated_conjecture,
    m1_subset_1(esk804_0,u1_struct_0(esk802_0)),
    i_0_5512 ).

cnf(c_0_10255,negated_conjecture,
    v10_lattices(esk802_0),
    i_0_5515 ).

cnf(c_0_10256,negated_conjecture,
    l3_lattices(esk802_0),
    i_0_5514 ).

cnf(c_0_10257,negated_conjecture,
    ~ v3_struct_0(esk802_0),
    i_0_5516 ).

cnf(c_0_10258,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_917 ).

cnf(c_0_10259,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_10251,c_0_10252]) ).

cnf(c_0_10260,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_5163 ).

cnf(c_0_10261,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k2_filter_2(X1,X2),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1497 ).

cnf(c_0_10262,negated_conjecture,
    k2_filter_2(esk802_0,esk804_0) = k2_filter_0(esk802_0,esk804_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10253,c_0_10254]),c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10263,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(X3,X2)
    | ~ epred47_2(X2,X4)
    | ~ r3_lattices(X4,X3,X1)
    | ~ m1_subset_1(X1,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X4)) ),
    i_0_10219 ).

cnf(c_0_10264,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
    i_0_4998 ).

cnf(c_0_10265,negated_conjecture,
    k18_filter_2(esk802_0,esk803_0) = u1_struct_0(esk802_0),
    i_0_5510 ).

cnf(c_0_10266,negated_conjecture,
    m1_subset_1(esk803_0,u1_struct_0(esk802_0)),
    i_0_5513 ).

cnf(c_0_10267,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_4171 ).

cnf(c_0_10268,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_10258,c_0_10259]) ).

cnf(c_0_10269,negated_conjecture,
    ( r2_hidden(esk804_0,u1_struct_0(esk802_0))
    | v1_xboole_0(u1_struct_0(esk802_0)) ),
    inference(spm,[status(thm)],[c_0_10260,c_0_10254]) ).

cnf(c_0_10270,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | epred47_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_8401 ).

cnf(c_0_10271,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_1586 ).

cnf(c_0_10272,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_1587 ).

cnf(c_0_10273,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_2874 ).

cnf(c_0_10274,negated_conjecture,
    m1_filter_2(k2_filter_0(esk802_0,esk804_0),esk802_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_10261,c_0_10254]),c_0_10262]),c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10275,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1560 ).

cnf(c_0_10276,plain,
    ( v3_struct_0(X1)
    | v4_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_677 ).

cnf(c_0_10277,negated_conjecture,
    ( r2_hidden(X1,X2)
    | ~ epred47_2(X2,esk802_0)
    | ~ r3_lattices(esk802_0,esk804_0,X1)
    | ~ r2_hidden(esk804_0,X2)
    | ~ m1_subset_1(X1,u1_struct_0(esk802_0)) ),
    inference(spm,[status(thm)],[c_0_10263,c_0_10254]) ).

cnf(c_0_10278,negated_conjecture,
    ( r3_lattices(esk802_0,X1,esk803_0)
    | ~ r2_hidden(X1,u1_struct_0(esk802_0)) ),
    inference(csr,[status(thm)],[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_10264,c_0_10265]),c_0_10255]),c_0_10256]),c_0_10266])]),c_0_10257]),c_0_10267]) ).

cnf(c_0_10279,plain,
    r2_hidden(esk804_0,u1_struct_0(esk802_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10268,c_0_10269]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10280,plain,
    ( epred47_2(X1,X2)
    | v3_struct_0(X2)
    | ~ m1_filter_0(X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_10270,c_0_10271]),c_0_10272]) ).

cnf(c_0_10281,plain,
    m1_filter_0(k2_filter_0(esk802_0,esk804_0),esk802_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10273,c_0_10274]),c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10282,negated_conjecture,
    m1_subset_1(k7_lattices(esk802_0,esk804_0),u1_struct_0(esk802_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10275,c_0_10254]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10283,plain,
    ( k1_lattices(X1,X2,X3) = X3
    | v3_struct_0(X1)
    | ~ l2_lattices(X1)
    | ~ r1_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1078 ).

cnf(c_0_10284,plain,
    ( k1_lattices(X1,X2,X3) = k3_lattices(X1,X2,X3)
    | v3_struct_0(X1)
    | ~ v4_lattices(X1)
    | ~ l2_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_2858 ).

cnf(c_0_10285,negated_conjecture,
    v4_lattices(esk802_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10276,c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10286,plain,
    ( v3_struct_0(X1)
    | v9_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_672 ).

cnf(c_0_10287,plain,
    ( v3_struct_0(X1)
    | v8_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_675 ).

cnf(c_0_10288,plain,
    ( v3_struct_0(X1)
    | v6_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_674 ).

cnf(c_0_10289,negated_conjecture,
    ( r2_hidden(esk803_0,X1)
    | ~ epred47_2(X1,esk802_0)
    | ~ r2_hidden(esk804_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10277,c_0_10278]),c_0_10266]),c_0_10279])]) ).

cnf(c_0_10290,plain,
    epred47_2(k2_filter_0(esk802_0,esk804_0),esk802_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10280,c_0_10281]),c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10291,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k2_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_4011 ).

cnf(c_0_10292,plain,
    m1_subset_1(k7_lattices(esk802_0,k7_lattices(esk802_0,esk804_0)),u1_struct_0(esk802_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10275,c_0_10282]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10293,negated_conjecture,
    ( k1_lattices(esk802_0,X1,esk803_0) = esk803_0
    | ~ r1_lattices(esk802_0,X1,esk803_0)
    | ~ l2_lattices(esk802_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk802_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10283,c_0_10266]),c_0_10257]) ).

cnf(c_0_10294,negated_conjecture,
    ( k1_lattices(esk802_0,X1,esk803_0) = k3_lattices(esk802_0,X1,esk803_0)
    | ~ l2_lattices(esk802_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk802_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10284,c_0_10266]),c_0_10285])]),c_0_10257]) ).

cnf(c_0_10295,plain,
    ( v3_struct_0(X1)
    | r1_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v6_lattices(X1)
    | ~ v8_lattices(X1)
    | ~ v9_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_2888 ).

cnf(c_0_10296,negated_conjecture,
    v9_lattices(esk802_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10286,c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10297,negated_conjecture,
    v8_lattices(esk802_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10287,c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10298,negated_conjecture,
    v6_lattices(esk802_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10288,c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10299,plain,
    ( r2_hidden(esk803_0,k2_filter_0(esk802_0,esk804_0))
    | ~ r2_hidden(esk804_0,k2_filter_0(esk802_0,esk804_0)) ),
    inference(spm,[status(thm)],[c_0_10289,c_0_10290]) ).

cnf(c_0_10300,plain,
    ( r2_hidden(X1,k2_filter_0(esk802_0,X1))
    | ~ m1_subset_1(X1,u1_struct_0(esk802_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10291,c_0_10292]),c_0_10255]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10301,plain,
    ( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
    | v3_struct_0(X1)
    | ~ v4_lattices(X1)
    | ~ l2_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_638 ).

cnf(c_0_10302,negated_conjecture,
    ( k3_lattices(esk802_0,X1,esk803_0) = esk803_0
    | ~ r1_lattices(esk802_0,X1,esk803_0)
    | ~ l2_lattices(esk802_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk802_0)) ),
    inference(spm,[status(thm)],[c_0_10293,c_0_10294]) ).

cnf(c_0_10303,negated_conjecture,
    ( r1_lattices(esk802_0,X1,esk803_0)
    | ~ r3_lattices(esk802_0,X1,esk803_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk802_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_10295,c_0_10266]),c_0_10296]),c_0_10297]),c_0_10298]),c_0_10256])]),c_0_10257]) ).

cnf(c_0_10304,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k2_filter_0(X1,X2)) ),
    i_0_3913 ).

cnf(c_0_10305,plain,
    r2_hidden(esk803_0,k2_filter_0(esk802_0,esk804_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10299,c_0_10300]),c_0_10254])]) ).

cnf(c_0_10306,negated_conjecture,
    ( k3_lattices(esk802_0,X1,esk804_0) = k3_lattices(esk802_0,esk804_0,X1)
    | ~ l2_lattices(esk802_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk802_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10301,c_0_10254]),c_0_10285])]),c_0_10257]) ).

cnf(c_0_10307,negated_conjecture,
    ( k3_lattices(esk802_0,X1,esk803_0) = esk803_0
    | ~ r3_lattices(esk802_0,X1,esk803_0)
    | ~ l2_lattices(esk802_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk802_0)) ),
    inference(spm,[status(thm)],[c_0_10302,c_0_10303]) ).

cnf(c_0_10308,plain,
    r3_lattices(esk802_0,esk804_0,esk803_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_10304,c_0_10305]),c_0_10255]),c_0_10256]),c_0_10266]),c_0_10254])]),c_0_10257]) ).

cnf(c_0_10309,negated_conjecture,
    k3_lattices(esk802_0,esk803_0,esk804_0) != esk803_0,
    i_0_5511 ).

cnf(c_0_10310,negated_conjecture,
    ~ l2_lattices(esk802_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_10306,c_0_10307]),c_0_10266]),c_0_10308]),c_0_10254])]),c_0_10309]) ).

cnf(c_0_10311,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10310,c_0_10252]),c_0_10256])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : LAT308+4 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 21:02:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.30/1.53  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.30/1.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.30/1.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 49.80/11.66  # ENIGMATIC: Solved by autoschedule-lgb:
% 49.80/11.66  # No SInE strategy applied
% 49.80/11.66  # Trying AutoSched0 for 148 seconds
% 49.80/11.66  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 49.80/11.66  # and selection function SelectComplexExceptUniqMaxHorn.
% 49.80/11.66  #
% 49.80/11.66  # Preprocessing time       : 0.039 s
% 49.80/11.66  # Presaturation interreduction done
% 49.80/11.66  
% 49.80/11.66  # Proof found!
% 49.80/11.66  # SZS status Theorem
% 49.80/11.66  # SZS output start CNFRefutation
% See solution above
% 49.80/11.66  # Training examples: 0 positive, 0 negative
% 49.80/11.66  
% 49.80/11.66  # -------------------------------------------------
% 49.80/11.66  # User time                : 4.437 s
% 49.80/11.66  # System time              : 0.109 s
% 49.80/11.66  # Total time               : 4.546 s
% 49.80/11.66  # Maximum resident set size: 7124 pages
% 49.80/11.66  
%------------------------------------------------------------------------------