TSTP Solution File: LAT296+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 04:29:04 EDT 2022

% Result   : Theorem 8.32s 2.42s
% Output   : CNFRefutation 8.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   87 (  48 unt;  17 nHn;  87 RR)
%            Number of literals    :  248 (  27 equ; 148 neg)
%            Maximal clause size   :   19 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   82 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_64,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_64) ).

cnf(i_0_6,negated_conjecture,
    l3_lattices(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_6) ).

cnf(i_0_63,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_63) ).

cnf(i_0_68,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/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_68) ).

cnf(i_0_72,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/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_72) ).

cnf(i_0_69,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/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_69) ).

cnf(i_0_73,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/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_73) ).

cnf(i_0_202,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_202) ).

cnf(i_0_70,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_70) ).

cnf(i_0_74,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_74) ).

cnf(i_0_110,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/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_110) ).

cnf(i_0_5,negated_conjecture,
    g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_5) ).

cnf(i_0_204,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r2_lattices(X1,X3,X4)
    | X5 != X4
    | X6 != X3
    | g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v15_lattices(X1)
    | ~ v15_lattices(X2)
    | ~ v16_lattices(X1)
    | ~ v16_lattices(X2)
    | ~ r2_lattices(X2,X6,X5)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X5,u1_struct_0(X2))
    | ~ m1_subset_1(X6,u1_struct_0(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_204) ).

cnf(i_0_35,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_35) ).

cnf(i_0_7,negated_conjecture,
    v17_lattices(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_7) ).

cnf(i_0_9,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_9) ).

cnf(i_0_36,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_36) ).

cnf(i_0_8,negated_conjecture,
    v10_lattices(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_8) ).

cnf(i_0_10,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_10) ).

cnf(i_0_11,negated_conjecture,
    v17_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_11) ).

cnf(i_0_13,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_13) ).

cnf(i_0_53,plain,
    ( v3_struct_0(X1)
    | r2_lattices(X1,X2,X3)
    | X2 != k7_lattices(X1,X3)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v16_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-sq2sjfh9/input.p',i_0_53) ).

cnf(i_0_59,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-sq2sjfh9/input.p',i_0_59) ).

cnf(i_0_4,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_4) ).

cnf(i_0_2,negated_conjecture,
    esk4_0 = esk3_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_2) ).

cnf(i_0_39,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_39) ).

cnf(i_0_12,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_12) ).

cnf(i_0_1,negated_conjecture,
    k7_lattices(esk2_0,esk4_0) != k7_lattices(esk1_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_1) ).

cnf(i_0_52,plain,
    ( X1 = k7_lattices(X2,X3)
    | v3_struct_0(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ r2_lattices(X2,X1,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sq2sjfh9/input.p',i_0_52) ).

cnf(c_0_234,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_64 ).

cnf(c_0_235,negated_conjecture,
    l3_lattices(esk2_0),
    i_0_6 ).

cnf(c_0_236,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_63 ).

cnf(c_0_237,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_68 ).

cnf(c_0_238,negated_conjecture,
    l1_lattices(esk2_0),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_239,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_72 ).

cnf(c_0_240,negated_conjecture,
    l2_lattices(esk2_0),
    inference(spm,[status(thm)],[c_0_236,c_0_235]) ).

cnf(c_0_241,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_69 ).

cnf(c_0_242,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_73 ).

cnf(c_0_243,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_202 ).

cnf(c_0_244,negated_conjecture,
    m2_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_245,negated_conjecture,
    m2_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_246,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    i_0_70 ).

cnf(c_0_247,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    i_0_74 ).

cnf(c_0_248,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_110 ).

cnf(c_0_249,negated_conjecture,
    g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
    i_0_5 ).

cnf(c_0_250,negated_conjecture,
    v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_241,c_0_238]) ).

cnf(c_0_251,negated_conjecture,
    v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_242,c_0_240]) ).

cnf(c_0_252,plain,
    m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_253,plain,
    m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_243,c_0_245]) ).

cnf(c_0_254,negated_conjecture,
    v1_funct_1(u1_lattices(esk2_0)),
    inference(spm,[status(thm)],[c_0_246,c_0_238]) ).

cnf(c_0_255,negated_conjecture,
    v1_funct_1(u2_lattices(esk2_0)),
    inference(spm,[status(thm)],[c_0_247,c_0_240]) ).

cnf(c_0_256,negated_conjecture,
    ( u1_struct_0(esk2_0) = X1
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X1,X2,X3) ),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]),c_0_251]),c_0_252]),c_0_253]),c_0_254]),c_0_255])]) ).

cnf(c_0_257,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r2_lattices(X1,X3,X4)
    | X5 != X4
    | X6 != X3
    | g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v15_lattices(X1)
    | ~ v15_lattices(X2)
    | ~ v16_lattices(X1)
    | ~ v16_lattices(X2)
    | ~ r2_lattices(X2,X6,X5)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X5,u1_struct_0(X2))
    | ~ m1_subset_1(X6,u1_struct_0(X2)) ),
    i_0_204 ).

cnf(c_0_258,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_35 ).

cnf(c_0_259,negated_conjecture,
    v17_lattices(esk2_0),
    i_0_7 ).

cnf(c_0_260,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    i_0_9 ).

cnf(c_0_261,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_36 ).

cnf(c_0_262,negated_conjecture,
    u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
    inference(er,[status(thm)],[c_0_256]) ).

cnf(c_0_263,plain,
    ( r2_lattices(X1,X2,X3)
    | v3_struct_0(X4)
    | v3_struct_0(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
    | ~ r2_lattices(X4,X2,X3)
    | ~ m1_subset_1(X2,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v16_lattices(X4)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X4)
    | ~ v15_lattices(X1)
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X4)
    | ~ v10_lattices(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_257])]) ).

cnf(c_0_264,negated_conjecture,
    v16_lattices(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_235]),c_0_259])]),c_0_260]) ).

cnf(c_0_265,negated_conjecture,
    v15_lattices(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_235]),c_0_259])]),c_0_260]) ).

cnf(c_0_266,negated_conjecture,
    v10_lattices(esk2_0),
    i_0_8 ).

cnf(c_0_267,negated_conjecture,
    g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
    inference(rw,[status(thm)],[c_0_249,c_0_262]) ).

cnf(c_0_268,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_10 ).

cnf(c_0_269,negated_conjecture,
    v17_lattices(esk1_0),
    i_0_11 ).

cnf(c_0_270,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_13 ).

cnf(c_0_271,plain,
    ( v3_struct_0(X1)
    | r2_lattices(X1,X2,X3)
    | X2 != k7_lattices(X1,X3)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_53 ).

cnf(c_0_272,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_59 ).

cnf(c_0_273,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    i_0_4 ).

cnf(c_0_274,negated_conjecture,
    esk4_0 = esk3_0,
    i_0_2 ).

cnf(c_0_275,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_39 ).

cnf(c_0_276,plain,
    ( r2_lattices(esk2_0,X1,X2)
    | v3_struct_0(X3)
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(u1_struct_0(X3),u2_lattices(X3),u1_lattices(X3))
    | ~ r2_lattices(X3,X1,X2)
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(X3))
    | ~ m1_subset_1(X2,u1_struct_0(X3))
    | ~ v16_lattices(X3)
    | ~ v15_lattices(X3)
    | ~ l3_lattices(X3)
    | ~ v10_lattices(X3) ),
    inference(rw,[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(spm,[status(thm)],[c_0_263,c_0_262]),c_0_264]),c_0_265]),c_0_235]),c_0_266])]),c_0_260]),c_0_267]) ).

cnf(c_0_277,negated_conjecture,
    v16_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_268]),c_0_269])]),c_0_270]) ).

cnf(c_0_278,negated_conjecture,
    v15_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_268]),c_0_269])]),c_0_270]) ).

cnf(c_0_279,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_12 ).

cnf(c_0_280,plain,
    ( r2_lattices(X1,k7_lattices(X1,X2),X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v16_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_271]),c_0_272]) ).

cnf(c_0_281,negated_conjecture,
    m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
    inference(rw,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_282,negated_conjecture,
    v11_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_268]),c_0_269])]),c_0_270]) ).

cnf(c_0_283,plain,
    ( r2_lattices(esk2_0,X1,X2)
    | ~ r2_lattices(esk1_0,X1,X2)
    | ~ 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_276]),c_0_277]),c_0_278]),c_0_268]),c_0_279])]),c_0_270]) ).

cnf(c_0_284,negated_conjecture,
    r2_lattices(esk1_0,k7_lattices(esk1_0,esk4_0),esk4_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_280,c_0_281]),c_0_277]),c_0_282]),c_0_268]),c_0_279])]),c_0_270]) ).

cnf(c_0_285,negated_conjecture,
    m1_subset_1(k7_lattices(esk1_0,esk4_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_281]),c_0_268])]),c_0_270]) ).

cnf(c_0_286,negated_conjecture,
    k7_lattices(esk2_0,esk4_0) != k7_lattices(esk1_0,esk3_0),
    i_0_1 ).

cnf(c_0_287,plain,
    ( X1 = k7_lattices(X2,X3)
    | v3_struct_0(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ r2_lattices(X2,X1,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    i_0_52 ).

cnf(c_0_288,negated_conjecture,
    r2_lattices(esk2_0,k7_lattices(esk1_0,esk4_0),esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_281]),c_0_285])]) ).

cnf(c_0_289,negated_conjecture,
    v11_lattices(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_235]),c_0_259])]),c_0_260]) ).

cnf(c_0_290,negated_conjecture,
    k7_lattices(esk2_0,esk4_0) != k7_lattices(esk1_0,esk4_0),
    inference(rw,[status(thm)],[c_0_286,c_0_274]) ).

cnf(c_0_291,plain,
    $false,
    inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_262]),c_0_281]),c_0_262]),c_0_285]),c_0_264]),c_0_289]),c_0_235]),c_0_266])]),c_0_290]),c_0_260]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun 29 09:31:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 8.32/2.42  # ENIGMATIC: Solved by autoschedule:
% 8.32/2.42  # No SInE strategy applied
% 8.32/2.42  # Trying AutoSched0 for 150 seconds
% 8.32/2.42  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S079N
% 8.32/2.42  # and selection function SelectGrCQArEqFirst.
% 8.32/2.42  #
% 8.32/2.42  # Preprocessing time       : 0.014 s
% 8.32/2.42  # Presaturation interreduction done
% 8.32/2.42  
% 8.32/2.42  # Proof found!
% 8.32/2.42  # SZS status Theorem
% 8.32/2.42  # SZS output start CNFRefutation
% See solution above
% 8.32/2.42  # Training examples: 0 positive, 0 negative
% 8.32/2.42  
% 8.32/2.42  # -------------------------------------------------
% 8.32/2.42  # User time                : 0.139 s
% 8.32/2.42  # System time              : 0.013 s
% 8.32/2.42  # Total time               : 0.152 s
% 8.32/2.42  # Maximum resident set size: 7120 pages
% 8.32/2.42  
%------------------------------------------------------------------------------