↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT332+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 04:29:47 EDT 2022

% Result   : Theorem 8.17s 2.46s
% Output   : CNFRefutation 8.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   82 (   8 unt;  28 nHn;  80 RR)
%            Number of literals    :  258 (  43 equ; 141 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   1 con; 0-3 aty)
%            Number of variables   :  124 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_194,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_194) ).

cnf(i_0_51,plain,
    ( m1_subset_1(k4_relset_1(X1,X2,X3),k1_zfmisc_1(X1))
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_51) ).

cnf(i_0_180,plain,
    ( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_180) ).

cnf(i_0_185,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_185) ).

cnf(i_0_72,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-qo00iixw/lgb.p',i_0_72) ).

cnf(i_0_15,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_15) ).

cnf(i_0_71,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_71) ).

cnf(i_0_22,plain,
    ( g3_lattices(X1,esk2_3(X2,X1,X3),esk3_3(X2,X1,X3)) = X3
    | v3_struct_0(X2)
    | v1_xboole_0(X1)
    | X3 != k23_filter_2(X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m2_lattice4(X1,X2)
    | ~ m2_nat_lat(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_22) ).

cnf(i_0_49,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m2_nat_lat(k23_filter_2(X1,X2),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_49) ).

cnf(i_0_23,plain,
    ( esk3_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
    | v3_struct_0(X1)
    | v1_xboole_0(X2)
    | X3 != k23_filter_2(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ m2_nat_lat(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_23) ).

cnf(i_0_76,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-qo00iixw/lgb.p',i_0_76) ).

cnf(i_0_24,plain,
    ( esk2_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
    | v3_struct_0(X1)
    | v1_xboole_0(X2)
    | X3 != k23_filter_2(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ m2_nat_lat(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_24) ).

cnf(i_0_200,plain,
    ( k7_relat_1(X1,X2) = X1
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(k1_relat_1(X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_200) ).

cnf(i_0_42,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k17_filter_2(X1),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_42) ).

cnf(i_0_39,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_39) ).

cnf(i_0_92,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_92) ).

cnf(i_0_56,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_56) ).

cnf(i_0_38,plain,
    ( k7_relat_1(X1,k2_zfmisc_1(X2,X2)) = k1_realset1(X1,X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_38) ).

cnf(i_0_65,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-qo00iixw/lgb.p',i_0_65) ).

cnf(i_0_57,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_57) ).

cnf(i_0_58,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_58) ).

cnf(i_0_1,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,k17_filter_2(esk1_0))
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,k1_filter_2(esk1_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_4) ).

cnf(i_0_37,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-qo00iixw/lgb.p',i_0_37) ).

cnf(i_0_179,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qo00iixw/lgb.p',i_0_179) ).

cnf(c_0_228,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_194 ).

cnf(c_0_229,plain,
    ( m1_subset_1(k4_relset_1(X1,X2,X3),k1_zfmisc_1(X1))
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_51 ).

cnf(c_0_230,plain,
    ( r1_tarski(k4_relset_1(X1,X2,X3),X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_231,plain,
    ( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_180 ).

cnf(c_0_232,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_185 ).

cnf(c_0_233,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_72 ).

cnf(c_0_234,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    i_0_15 ).

cnf(c_0_235,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_71 ).

cnf(c_0_236,plain,
    ( g3_lattices(X1,esk2_3(X2,X1,X3),esk3_3(X2,X1,X3)) = X3
    | v3_struct_0(X2)
    | v1_xboole_0(X1)
    | X3 != k23_filter_2(X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m2_lattice4(X1,X2)
    | ~ m2_nat_lat(X3,X2) ),
    i_0_22 ).

cnf(c_0_237,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m2_nat_lat(k23_filter_2(X1,X2),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_49 ).

cnf(c_0_238,plain,
    ( esk3_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
    | v3_struct_0(X1)
    | v1_xboole_0(X2)
    | X3 != k23_filter_2(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ m2_nat_lat(X3,X1) ),
    i_0_23 ).

cnf(c_0_239,plain,
    ( r1_tarski(k1_relat_1(X1),X2)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_240,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_232,c_0_233]) ).

cnf(c_0_241,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_242,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_76 ).

cnf(c_0_243,plain,
    ( g3_lattices(X1,esk2_3(X2,X1,k23_filter_2(X2,X1)),esk3_3(X2,X1,k23_filter_2(X2,X1))) = k23_filter_2(X2,X1)
    | v1_xboole_0(X1)
    | v3_struct_0(X2)
    | ~ m2_lattice4(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_236]),c_0_237]) ).

cnf(c_0_244,plain,
    ( esk3_3(X1,X2,k23_filter_2(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_238]),c_0_237]) ).

cnf(c_0_245,plain,
    ( esk2_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
    | v3_struct_0(X1)
    | v1_xboole_0(X2)
    | X3 != k23_filter_2(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ m2_nat_lat(X3,X1) ),
    i_0_24 ).

cnf(c_0_246,plain,
    ( k7_relat_1(X1,X2) = X1
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(k1_relat_1(X1),X2) ),
    i_0_200 ).

cnf(c_0_247,plain,
    ( r1_tarski(k1_relat_1(u1_lattices(X1)),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
    | ~ l1_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_248,plain,
    ( v1_relat_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_233]) ).

cnf(c_0_249,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k17_filter_2(X1),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_42 ).

cnf(c_0_250,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_39 ).

cnf(c_0_251,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_92 ).

cnf(c_0_252,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_56 ).

cnf(c_0_253,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_232,c_0_242]) ).

cnf(c_0_254,plain,
    ( g3_lattices(X1,esk2_3(X2,X1,k23_filter_2(X2,X1)),k1_realset1(u1_lattices(X2),X1)) = k23_filter_2(X2,X1)
    | v1_xboole_0(X1)
    | v3_struct_0(X2)
    | ~ m2_lattice4(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_255,plain,
    ( esk2_3(X1,X2,k23_filter_2(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_245]),c_0_237]) ).

cnf(c_0_256,plain,
    ( k7_relat_1(X1,k2_zfmisc_1(X2,X2)) = k1_realset1(X1,X2)
    | ~ v1_relat_1(X1) ),
    i_0_38 ).

cnf(c_0_257,plain,
    ( k7_relat_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))) = u1_lattices(X1)
    | ~ l1_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]) ).

cnf(c_0_258,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_65 ).

cnf(c_0_259,plain,
    ( m2_filter_2(u1_struct_0(X1),X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_260,plain,
    ( v3_struct_0(X1)
    | ~ l2_lattices(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_261,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_57 ).

cnf(c_0_262,plain,
    ( r1_tarski(k1_relat_1(u2_lattices(X1)),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_239,c_0_253]) ).

cnf(c_0_263,plain,
    ( v1_relat_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_264,plain,
    ( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = k23_filter_2(X2,X1)
    | v1_xboole_0(X1)
    | v3_struct_0(X2)
    | ~ m2_lattice4(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_265,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X1)) = u1_lattices(X1)
    | ~ l1_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_248]) ).

cnf(c_0_266,plain,
    ( m2_lattice4(u1_struct_0(X1),X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_259]) ).

cnf(c_0_267,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_58 ).

cnf(c_0_268,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_269,plain,
    ( k7_relat_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))) = u2_lattices(X1)
    | ~ l2_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_262]),c_0_263]) ).

cnf(c_0_270,plain,
    ( g3_lattices(u1_struct_0(X1),k1_realset1(u2_lattices(X1),u1_struct_0(X1)),u1_lattices(X1)) = k23_filter_2(X1,u1_struct_0(X1))
    | v3_struct_0(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_264,c_0_265]),c_0_266]),c_0_267]),c_0_268]) ).

cnf(c_0_271,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X1)) = u2_lattices(X1)
    | ~ l2_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_269]),c_0_263]) ).

cnf(c_0_272,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,k17_filter_2(esk1_0))
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,k1_filter_2(esk1_0)) ),
    i_0_1 ).

cnf(c_0_273,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)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_261]) ).

cnf(c_0_274,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_2 ).

cnf(c_0_275,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_3 ).

cnf(c_0_276,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_4 ).

cnf(c_0_277,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_37 ).

cnf(c_0_278,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_179 ).

cnf(c_0_279,negated_conjecture,
    ( k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0))
    | k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]),c_0_275])]),c_0_276]) ).

cnf(c_0_280,plain,
    ( k1_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_281,plain,
    k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_274]),c_0_275])]),c_0_276]) ).

cnf(c_0_282,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_250]),c_0_274]),c_0_275])]),c_0_276]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LAT332+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n004.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 : Tue Jun 28 23:22:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.17/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.17/2.46  # No SInE strategy applied
% 8.17/2.46  # Trying AutoSched0 for 150 seconds
% 8.17/2.46  # AutoSched0-Mode selected heuristic G_____0017_C18_F1_SE_CS_SP_S4Y
% 8.17/2.46  # and selection function SelectMaxLComplexAPPNTNp.
% 8.17/2.46  #
% 8.17/2.46  # Preprocessing time       : 0.022 s
% 8.17/2.46  
% 8.17/2.46  # Proof found!
% 8.17/2.46  # SZS status Theorem
% 8.17/2.46  # SZS output start CNFRefutation
% See solution above
% 8.17/2.46  # Training examples: 0 positive, 0 negative
% 8.17/2.46  
% 8.17/2.46  # -------------------------------------------------
% 8.17/2.46  # User time                : 0.047 s
% 8.17/2.46  # System time              : 0.004 s
% 8.17/2.46  # Total time               : 0.051 s
% 8.17/2.46  # Maximum resident set size: 7124 pages
% 8.17/2.46  
%------------------------------------------------------------------------------