TSTP Solution File: LAT330+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT330+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 04:29:45 EDT 2022

% Result   : Theorem 40.68s 6.61s
% Output   : CNFRefutation 40.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   78 (  25 unt;  40 nHn;  78 RR)
%            Number of literals    :  276 (   5 equ; 154 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :  102 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_34,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_34) ).

cnf(i_0_4,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_4) ).

cnf(i_0_27,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(k22_filter_2(X1,X2,X3),X1)
    | ~ v10_lattices(X1)
    | ~ l3_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-dsd0b7pd/input.p',i_0_27) ).

cnf(i_0_3,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_3) ).

cnf(i_0_5,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_5) ).

cnf(i_0_6,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_6) ).

cnf(i_0_29,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_29) ).

cnf(i_0_23,plain,
    ( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_23) ).

cnf(i_0_24,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k18_filter_2(X1,X2),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_24) ).

cnf(i_0_38,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/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_38) ).

cnf(i_0_36,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_36) ).

cnf(i_0_20,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | m1_subset_1(esk3_3(X1,X2,X3),X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_20) ).

cnf(i_0_1,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_1) ).

cnf(i_0_18,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | r2_hidden(esk3_3(X1,X2,X3),X3)
    | r2_hidden(esk3_3(X1,X2,X3),X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_18) ).

cnf(i_0_50,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,a_2_0_filter_2(X1,X3))
    | X4 != X2
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ r3_lattices(X1,X4,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_50) ).

cnf(i_0_82,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,k5_lattices(X1),X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_82) ).

cnf(i_0_2,negated_conjecture,
    v13_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_2) ).

cnf(i_0_85,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k22_filter_2(X1,X3,X4))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ r3_lattices(X1,X2,X4)
    | ~ r3_lattices(X1,X3,X4)
    | ~ r3_lattices(X1,X3,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_85) ).

cnf(i_0_86,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ r3_lattices(X1,X4,X3)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r2_hidden(X2,k22_filter_2(X1,X4,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_86) ).

cnf(i_0_76,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ v10_lattices(X1)
    | ~ l3_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-dsd0b7pd/input.p',i_0_76) ).

cnf(i_0_19,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(esk3_3(X1,X2,X3),X3)
    | ~ r2_hidden(esk3_3(X1,X2,X3),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_19) ).

cnf(i_0_84,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_84) ).

cnf(i_0_30,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_30) ).

cnf(i_0_47,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsd0b7pd/input.p',i_0_47) ).

cnf(c_0_111,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_34 ).

cnf(c_0_112,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_4 ).

cnf(c_0_113,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(k22_filter_2(X1,X2,X3),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_27 ).

cnf(c_0_114,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    i_0_3 ).

cnf(c_0_115,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_5 ).

cnf(c_0_116,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_6 ).

cnf(c_0_117,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_29 ).

cnf(c_0_118,negated_conjecture,
    l1_lattices(esk1_0),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_119,plain,
    ( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_23 ).

cnf(c_0_120,negated_conjecture,
    ( m2_lattice4(k22_filter_2(esk1_0,X1,esk2_0),esk1_0)
    | ~ m1_subset_1(X1,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_113,c_0_114]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_121,negated_conjecture,
    m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_116]) ).

cnf(c_0_122,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k18_filter_2(X1,X2),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_24 ).

cnf(c_0_123,negated_conjecture,
    k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(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_119,c_0_114]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_124,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_38 ).

cnf(c_0_125,negated_conjecture,
    m2_lattice4(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),esk1_0),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_126,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_36 ).

cnf(c_0_127,negated_conjecture,
    m2_filter_2(a_2_0_filter_2(esk1_0,esk2_0),esk1_0),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_114]),c_0_112]),c_0_115])]),c_0_116]),c_0_123]) ).

cnf(c_0_128,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | m1_subset_1(esk3_3(X1,X2,X3),X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    i_0_20 ).

cnf(c_0_129,plain,
    m1_subset_1(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),k1_zfmisc_1(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_124,c_0_125]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_130,plain,
    m2_lattice4(a_2_0_filter_2(esk1_0,esk2_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_126,c_0_127]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_131,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),
    i_0_1 ).

cnf(c_0_132,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | r2_hidden(esk3_3(X1,X2,X3),X3)
    | r2_hidden(esk3_3(X1,X2,X3),X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    i_0_18 ).

cnf(c_0_133,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,a_2_0_filter_2(X1,X3))
    | X4 != X2
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ r3_lattices(X1,X4,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1)) ),
    i_0_50 ).

cnf(c_0_134,plain,
    ( r1_filter_2(u1_struct_0(esk1_0),X1,k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | m1_subset_1(esk3_3(u1_struct_0(esk1_0),X1,k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_135,plain,
    m1_subset_1(a_2_0_filter_2(esk1_0,esk2_0),k1_zfmisc_1(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_124,c_0_130]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_136,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),
    inference(rw,[status(thm)],[c_0_131,c_0_123]) ).

cnf(c_0_137,plain,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),X1,k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | r2_hidden(esk3_3(u1_struct_0(esk1_0),X1,k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),X1)
    | r1_filter_2(u1_struct_0(esk1_0),X1,k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_132,c_0_129]) ).

cnf(c_0_138,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,k5_lattices(X1),X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_82 ).

cnf(c_0_139,negated_conjecture,
    v13_lattices(esk1_0),
    i_0_2 ).

cnf(c_0_140,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k22_filter_2(X1,X3,X4))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ r3_lattices(X1,X2,X4)
    | ~ r3_lattices(X1,X3,X4)
    | ~ r3_lattices(X1,X3,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    i_0_85 ).

cnf(c_0_141,plain,
    ( r2_hidden(X1,a_2_0_filter_2(X2,X3))
    | v3_struct_0(X2)
    | ~ r3_lattices(X2,X1,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(er,[status(thm)],[c_0_133]) ).

cnf(c_0_142,plain,
    ( m1_subset_1(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_143,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ r3_lattices(X1,X4,X3)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r2_hidden(X2,k22_filter_2(X1,X4,X3)) ),
    i_0_86 ).

cnf(c_0_144,plain,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),a_2_0_filter_2(esk1_0,esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_135]),c_0_136]) ).

cnf(c_0_145,negated_conjecture,
    r3_lattices(esk1_0,k5_lattices(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_138,c_0_114]),c_0_139]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_146,negated_conjecture,
    ( r2_hidden(X1,k22_filter_2(esk1_0,X2,esk2_0))
    | ~ r3_lattices(esk1_0,X2,esk2_0)
    | ~ r3_lattices(esk1_0,X1,esk2_0)
    | ~ r3_lattices(esk1_0,X2,X1)
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,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_140,c_0_114]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_147,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ v10_lattices(X1)
    | ~ l3_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_76 ).

cnf(c_0_148,plain,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),a_2_0_filter_2(esk1_0,X1))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | ~ r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),X1)
    | ~ m1_subset_1(X1,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_141,c_0_142]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_149,plain,
    ( r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),esk2_0)
    | r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),a_2_0_filter_2(esk1_0,esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_121]),c_0_114]),c_0_112]),c_0_115])]),c_0_116]),c_0_142]) ).

cnf(c_0_150,negated_conjecture,
    ( r2_hidden(X1,k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | ~ r3_lattices(esk1_0,k5_lattices(esk1_0),X1)
    | ~ r3_lattices(esk1_0,X1,esk2_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_145]),c_0_121])]) ).

cnf(c_0_151,plain,
    ( r3_lattices(esk1_0,k5_lattices(esk1_0),esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)))
    | v1_xboole_0(u1_struct_0(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_138,c_0_142]),c_0_139]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_152,plain,
    ( r3_lattices(esk1_0,X1,esk2_0)
    | ~ r2_hidden(X1,a_2_0_filter_2(esk1_0,esk2_0))
    | ~ m1_subset_1(X1,u1_struct_0(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_147,c_0_123]),c_0_114]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_153,plain,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),a_2_0_filter_2(esk1_0,esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_114])]) ).

cnf(c_0_154,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(esk3_3(X1,X2,X3),X3)
    | ~ r2_hidden(esk3_3(X1,X2,X3),X2) ),
    i_0_19 ).

cnf(c_0_155,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    i_0_84 ).

cnf(c_0_156,negated_conjecture,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | ~ r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_142]) ).

cnf(c_0_157,plain,
    ( r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),esk2_0)
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_142]) ).

cnf(c_0_158,plain,
    ( r1_filter_2(X1,X2,X3)
    | ~ r2_hidden(esk3_3(X1,X2,X3),X3)
    | ~ r2_hidden(esk3_3(X1,X2,X3),X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(csr,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_159,negated_conjecture,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_160,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    i_0_30 ).

cnf(c_0_161,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_47 ).

cnf(c_0_162,plain,
    v1_xboole_0(u1_struct_0(esk1_0)),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_129]),c_0_135])]),c_0_136]),c_0_153]) ).

cnf(c_0_163,plain,
    l1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_160,c_0_118]) ).

cnf(c_0_164,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163])]),c_0_116]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT330+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 30 06:16:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 40.68/6.61  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 40.68/6.61  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 40.68/6.61  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 52; version: 991; iters: 150)
% 40.68/6.61  # Preprocessing time       : 0.727 s
% 40.68/6.61  
% 40.68/6.61  # Proof found!
% 40.68/6.61  # SZS status Theorem
% 40.68/6.61  # SZS output start CNFRefutation
% See solution above
% 40.68/6.61  # Training examples: 0 positive, 0 negative
% 40.68/6.61  
% 40.68/6.61  # -------------------------------------------------
% 40.68/6.61  # User time                : 3.543 s
% 40.68/6.61  # System time              : 0.131 s
% 40.68/6.61  # Total time               : 3.674 s
% 40.68/6.61  # ...preprocessing         : 0.727 s
% 40.68/6.61  # ...main loop             : 2.947 s
% 40.68/6.61  # Maximum resident set size: 152312 pages
% 40.68/6.61  
%------------------------------------------------------------------------------