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Enigma---0.5.1.THM-CRf.s

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

% Computer : n013.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 04:29:35 EDT 2022

% Result   : Theorem 14.84s 3.19s
% Output   : CNFRefutation 14.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   40
% Syntax   : Number of clauses     :  114 (  13 unt;  49 nHn; 114 RR)
%            Number of literals    :  434 (  53 equ; 269 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-3 aty)
%            Number of variables   :  148 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
    ( k7_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_49) ).

cnf(i_0_76,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_76) ).

cnf(i_0_245,plain,
    ( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_245) ).

cnf(i_0_74,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_74) ).

cnf(i_0_248,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_248) ).

cnf(i_0_53,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_53) ).

cnf(i_0_141,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_141) ).

cnf(i_0_57,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_57) ).

cnf(i_0_98,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_98) ).

cnf(i_0_259,plain,
    ( v3_struct_0(X1)
    | v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_259) ).

cnf(i_0_250,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_250) ).

cnf(i_0_78,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_78) ).

cnf(i_0_258,plain,
    ( v3_struct_0(X1)
    | v1_filter_2(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_258) ).

cnf(i_0_261,plain,
    ( v3_struct_0(X1)
    | v2_filter_0(X2,X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_261) ).

cnf(i_0_254,plain,
    ( v3_struct_0(X1)
    | r2_filter_2(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_254) ).

cnf(i_0_263,plain,
    ( X1 = k1_filter_0(X2)
    | v3_struct_0(X2)
    | v1_filter_0(X1,X2)
    | ~ v10_lattices(X2)
    | ~ v17_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m1_filter_0(X1,X2)
    | ~ v2_filter_0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_263) ).

cnf(i_0_255,plain,
    ( v3_struct_0(X1)
    | v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ r2_filter_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_255) ).

cnf(i_0_152,plain,
    ( X1 = X2
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_152) ).

cnf(i_0_80,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_80) ).

cnf(i_0_79,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_79) ).

cnf(i_0_82,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_82) ).

cnf(i_0_262,plain,
    ( v3_struct_0(X1)
    | X2 != k1_filter_0(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_262) ).

cnf(i_0_84,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_84) ).

cnf(i_0_83,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_83) ).

cnf(i_0_3,negated_conjecture,
    ( k17_filter_2(esk1_0) = esk2_0
    | ~ v1_filter_2(esk2_0,esk1_0)
    | ~ r2_filter_2(esk1_0,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    m2_filter_2(esk2_0,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_5) ).

cnf(i_0_7,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_8) ).

cnf(i_0_1,negated_conjecture,
    ( v1_filter_2(esk2_0,esk1_0)
    | r2_filter_2(esk1_0,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_1) ).

cnf(i_0_47,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_47) ).

cnf(i_0_2,negated_conjecture,
    ( r2_filter_2(esk1_0,esk2_0)
    | k17_filter_2(esk1_0) != esk2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_2) ).

cnf(i_0_50,plain,
    ( u1_struct_0(X1) = k17_filter_2(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_50) ).

cnf(i_0_9,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-bcy3chwc/input.p',i_0_9) ).

cnf(i_0_67,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_67) ).

cnf(i_0_66,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_66) ).

cnf(i_0_48,plain,
    ( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_48) ).

cnf(i_0_114,plain,
    ( v3_struct_0(X1)
    | v17_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_114) ).

cnf(i_0_6,negated_conjecture,
    v17_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_6) ).

cnf(i_0_58,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p',i_0_58) ).

cnf(c_0_304,plain,
    ( k7_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_49 ).

cnf(c_0_305,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_76 ).

cnf(c_0_306,plain,
    ( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_245 ).

cnf(c_0_307,plain,
    ( k7_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_308,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_74 ).

cnf(c_0_309,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_248 ).

cnf(c_0_310,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_53 ).

cnf(c_0_311,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_141 ).

cnf(c_0_312,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_57 ).

cnf(c_0_313,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_98 ).

cnf(c_0_314,plain,
    ( v3_struct_0(X1)
    | v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v1_filter_2(X2,X1) ),
    i_0_259 ).

cnf(c_0_315,plain,
    ( k15_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]) ).

cnf(c_0_316,plain,
    ( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]),c_0_312]),c_0_313]) ).

cnf(c_0_317,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_250 ).

cnf(c_0_318,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_78 ).

cnf(c_0_319,plain,
    ( v3_struct_0(X1)
    | v1_filter_2(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
    i_0_258 ).

cnf(c_0_320,plain,
    ( v3_struct_0(X1)
    | v2_filter_0(X2,X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1) ),
    i_0_261 ).

cnf(c_0_321,plain,
    ( v3_struct_0(X1)
    | r2_filter_2(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
    i_0_254 ).

cnf(c_0_322,plain,
    ( X1 = k1_filter_0(X2)
    | v3_struct_0(X2)
    | v1_filter_0(X1,X2)
    | ~ v10_lattices(X2)
    | ~ v17_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m1_filter_0(X1,X2)
    | ~ v2_filter_0(X1,X2) ),
    i_0_263 ).

cnf(c_0_323,plain,
    ( v2_filter_0(X1,k1_lattice2(X2))
    | v3_struct_0(X2)
    | ~ v1_filter_2(X1,X2)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_324,plain,
    ( m1_filter_0(X1,k1_lattice2(X2))
    | v3_struct_0(X2)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_316,c_0_315]) ).

cnf(c_0_325,plain,
    ( v3_struct_0(X1)
    | v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ r2_filter_2(X1,X2) ),
    i_0_255 ).

cnf(c_0_326,plain,
    ( X1 = X2
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
    i_0_152 ).

cnf(c_0_327,plain,
    ( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_328,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    i_0_80 ).

cnf(c_0_329,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_79 ).

cnf(c_0_330,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    i_0_82 ).

cnf(c_0_331,plain,
    ( v1_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ v1_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_311]),c_0_312]),c_0_316]),c_0_313]) ).

cnf(c_0_332,plain,
    ( r2_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ v1_filter_0(X2,k1_lattice2(X1))
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_321,c_0_315]) ).

cnf(c_0_333,plain,
    ( X1 = k1_filter_0(k1_lattice2(X2))
    | v1_filter_0(X1,k1_lattice2(X2))
    | v3_struct_0(X2)
    | ~ v1_filter_2(X1,X2)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_311]),c_0_312]),c_0_324]),c_0_313]) ).

cnf(c_0_334,plain,
    ( v3_struct_0(X1)
    | X2 != k1_filter_0(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1) ),
    i_0_262 ).

cnf(c_0_335,plain,
    ( v1_filter_0(X1,k1_lattice2(X2))
    | v3_struct_0(X2)
    | ~ r2_filter_2(X2,X1)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_325,c_0_315]) ).

cnf(c_0_336,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
    | ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1)
    | ~ v1_funct_1(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]),c_0_329]) ).

cnf(c_0_337,plain,
    ( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_317,c_0_330]) ).

cnf(c_0_338,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    i_0_84 ).

cnf(c_0_339,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    i_0_83 ).

cnf(c_0_340,negated_conjecture,
    ( k17_filter_2(esk1_0) = esk2_0
    | ~ v1_filter_2(esk2_0,esk1_0)
    | ~ r2_filter_2(esk1_0,esk2_0) ),
    i_0_3 ).

cnf(c_0_341,plain,
    ( v1_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ r2_filter_2(X2,X1)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_331,c_0_325]) ).

cnf(c_0_342,negated_conjecture,
    m2_filter_2(esk2_0,esk1_0),
    i_0_4 ).

cnf(c_0_343,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_5 ).

cnf(c_0_344,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_7 ).

cnf(c_0_345,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_8 ).

cnf(c_0_346,plain,
    ( X1 = k1_filter_0(k1_lattice2(X2))
    | r2_filter_2(X2,X1)
    | v3_struct_0(X2)
    | ~ v1_filter_2(X1,X2)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_347,negated_conjecture,
    ( v1_filter_2(esk2_0,esk1_0)
    | r2_filter_2(esk1_0,esk2_0) ),
    i_0_1 ).

cnf(c_0_348,plain,
    ( v3_struct_0(X1)
    | X2 != k1_filter_0(k1_lattice2(X1))
    | ~ r2_filter_2(X1,X2)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_311]),c_0_312]),c_0_324]),c_0_313]) ).

cnf(c_0_349,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_47 ).

cnf(c_0_350,negated_conjecture,
    ( r2_filter_2(esk1_0,esk2_0)
    | k17_filter_2(esk1_0) != esk2_0 ),
    i_0_2 ).

cnf(c_0_351,plain,
    ( u1_struct_0(X1) = k17_filter_2(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_50 ).

cnf(c_0_352,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
    | ~ l2_lattices(X1)
    | ~ l1_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_339]) ).

cnf(c_0_353,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_9 ).

cnf(c_0_354,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_67 ).

cnf(c_0_355,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_66 ).

cnf(c_0_356,negated_conjecture,
    ( k17_filter_2(esk1_0) = esk2_0
    | ~ r2_filter_2(esk1_0,esk2_0)
    | ~ v17_lattices(k1_lattice2(esk1_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_340,c_0_341]),c_0_342]),c_0_343]),c_0_344])]),c_0_345]) ).

cnf(c_0_357,negated_conjecture,
    ( k1_filter_0(k1_lattice2(esk1_0)) = esk2_0
    | r2_filter_2(esk1_0,esk2_0)
    | ~ v17_lattices(k1_lattice2(esk1_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_346,c_0_347]),c_0_342]),c_0_343]),c_0_344])]),c_0_345]) ).

cnf(c_0_358,plain,
    ( v3_struct_0(X1)
    | X2 != u1_struct_0(k1_lattice2(X1))
    | ~ r2_filter_2(X1,X2)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_311]),c_0_312]),c_0_313]) ).

cnf(c_0_359,negated_conjecture,
    ( r2_filter_2(esk1_0,esk2_0)
    | u1_struct_0(esk1_0) != esk2_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_343]),c_0_344])]),c_0_345]) ).

cnf(c_0_360,plain,
    ( u1_struct_0(X1) = X2
    | X1 != g3_lattices(X2,X3,X4)
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_354]),c_0_355]) ).

cnf(c_0_361,plain,
    ( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
    | ~ l3_lattices(X1) ),
    i_0_48 ).

cnf(c_0_362,plain,
    ( u1_struct_0(esk1_0) = esk2_0
    | ~ r2_filter_2(esk1_0,esk2_0)
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_356]),c_0_343]),c_0_344])]),c_0_345]) ).

cnf(c_0_363,plain,
    ( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
    | r2_filter_2(esk1_0,esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_349,c_0_357]) ).

cnf(c_0_364,negated_conjecture,
    ( u1_struct_0(k1_lattice2(esk1_0)) != esk2_0
    | u1_struct_0(esk1_0) != esk2_0
    | ~ v17_lattices(k1_lattice2(esk1_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_358,c_0_359]),c_0_342]),c_0_343]),c_0_344])]),c_0_345]) ).

cnf(c_0_365,plain,
    ( v3_struct_0(X1)
    | v17_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_114 ).

cnf(c_0_366,negated_conjecture,
    v17_lattices(esk1_0),
    i_0_6 ).

cnf(c_0_367,plain,
    ( u1_struct_0(X1) = u1_struct_0(X2)
    | X1 != k1_lattice2(X2)
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_368,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_58 ).

cnf(c_0_369,plain,
    ( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
    | u1_struct_0(esk1_0) = esk2_0
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_370,plain,
    ( u1_struct_0(k1_lattice2(esk1_0)) != esk2_0
    | u1_struct_0(esk1_0) != esk2_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_364,c_0_365]),c_0_343]),c_0_366]),c_0_344])]),c_0_345]) ).

cnf(c_0_371,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_367]),c_0_312]),c_0_368]) ).

cnf(c_0_372,plain,
    ( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
    | u1_struct_0(esk1_0) = esk2_0
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_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_369,c_0_365]),c_0_343]),c_0_366]),c_0_344])]),c_0_345]) ).

cnf(c_0_373,plain,
    u1_struct_0(esk1_0) != esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_343])]) ).

cnf(c_0_374,plain,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_371]),c_0_343])]),c_0_373]) ).

cnf(c_0_375,plain,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_311]),c_0_343]),c_0_344])]),c_0_345]) ).

cnf(c_0_376,plain,
    v3_struct_0(k1_lattice2(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_312]),c_0_343])]) ).

cnf(c_0_377,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_376]),c_0_343])]),c_0_345]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT322+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 28 21:05:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.42  # ENIGMATIC: Selected complete mode:
% 14.84/3.19  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.84/3.19  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 42; version: 991; iters: 150)
% 14.84/3.19  # Preprocessing time       : 0.869 s
% 14.84/3.19  
% 14.84/3.19  # Proof found!
% 14.84/3.19  # SZS status Theorem
% 14.84/3.19  # SZS output start CNFRefutation
% See solution above
% 14.84/3.19  # Training examples: 0 positive, 0 negative
% 14.84/3.19  
% 14.84/3.19  # -------------------------------------------------
% 14.84/3.19  # User time                : 0.888 s
% 14.84/3.19  # System time              : 0.120 s
% 14.84/3.19  # Total time               : 1.008 s
% 14.84/3.19  # ...preprocessing         : 0.869 s
% 14.84/3.19  # ...main loop             : 0.140 s
% 14.84/3.19  # Maximum resident set size: 167840 pages
% 14.84/3.19  
% 14.84/3.20  eprover: Cannot stat file /export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bcy3chwc/input.p
% 14.84/3.20  eprover: No such file or directory
%------------------------------------------------------------------------------