TSTP Solution File: LAT337+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT337+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 04:29:52 EDT 2022

% Result   : Theorem 4.42s 2.15s
% Output   : CNFRefutation 4.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   66 (  27 unt;  24 nHn;  66 RR)
%            Number of literals    :  234 (   0 equ; 144 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_34,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_34) ).

cnf(i_0_4,negated_conjecture,
    v17_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_4) ).

cnf(i_0_9,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_9) ).

cnf(i_0_6,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_6) ).

cnf(i_0_54,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-8w50gsjj/lgb.p',i_0_54) ).

cnf(i_0_7,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_7) ).

cnf(i_0_5,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_5) ).

cnf(i_0_55,plain,
    ( v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ v1_xboole_0(k22_filter_2(X1,X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_55) ).

cnf(i_0_8,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_8) ).

cnf(i_0_242,plain,
    ( v3_struct_0(X1)
    | v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_242) ).

cnf(i_0_37,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_37) ).

cnf(i_0_243,plain,
    ( v3_struct_0(X1)
    | v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_243) ).

cnf(i_0_41,plain,
    ( v3_struct_0(X1)
    | v12_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_41) ).

cnf(i_0_107,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v10_lattices(k23_filter_2(X1,X2))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_107) ).

cnf(i_0_56,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/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_56) ).

cnf(i_0_33,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_33) ).

cnf(i_0_1,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_1) ).

cnf(i_0_66,plain,
    ( v3_struct_0(X1)
    | l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_66) ).

cnf(i_0_68,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_68) ).

cnf(i_0_2,negated_conjecture,
    r3_lattices(esk1_0,esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_2) ).

cnf(i_0_239,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v11_lattices(k23_filter_2(X1,X2))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_239) ).

cnf(i_0_39,plain,
    ( v3_struct_0(X1)
    | v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v16_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8w50gsjj/lgb.p',i_0_39) ).

cnf(c_0_266,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_34 ).

cnf(c_0_267,negated_conjecture,
    v17_lattices(esk1_0),
    i_0_4 ).

cnf(c_0_268,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_9 ).

cnf(c_0_269,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_6 ).

cnf(c_0_270,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_54 ).

cnf(c_0_271,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    i_0_7 ).

cnf(c_0_272,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_5 ).

cnf(c_0_273,plain,
    ( v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ v1_xboole_0(k22_filter_2(X1,X3,X2)) ),
    i_0_55 ).

cnf(c_0_274,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    i_0_8 ).

cnf(c_0_275,plain,
    ( v3_struct_0(X1)
    | v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_242 ).

cnf(c_0_276,negated_conjecture,
    v15_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268])]),c_0_269]) ).

cnf(c_0_277,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_37 ).

cnf(c_0_278,plain,
    ( v3_struct_0(X1)
    | v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_243 ).

cnf(c_0_279,negated_conjecture,
    ( m2_lattice4(k22_filter_2(esk1_0,X1,esk3_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_270,c_0_271]),c_0_268]),c_0_272])]),c_0_269]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ v1_xboole_0(k22_filter_2(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_273,c_0_274]),c_0_268]),c_0_272])]),c_0_269]) ).

cnf(c_0_281,negated_conjecture,
    ( v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,X1,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | ~ v16_lattices(esk1_0)
    | ~ r3_lattices(esk1_0,X1,esk3_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[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_275,c_0_271]),c_0_268]),c_0_272])]),c_0_269]),c_0_276])]) ).

cnf(c_0_282,plain,
    ( v3_struct_0(X1)
    | v12_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1) ),
    i_0_41 ).

cnf(c_0_283,negated_conjecture,
    v11_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_267]),c_0_268])]),c_0_269]) ).

cnf(c_0_284,negated_conjecture,
    ( v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,X1,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | ~ v16_lattices(esk1_0)
    | ~ r3_lattices(esk1_0,X1,esk3_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[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_278,c_0_271]),c_0_268]),c_0_272])]),c_0_269]),c_0_276])]) ).

cnf(c_0_285,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v10_lattices(k23_filter_2(X1,X2))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_107 ).

cnf(c_0_286,negated_conjecture,
    m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0),
    inference(spm,[status(thm)],[c_0_279,c_0_274]) ).

cnf(c_0_287,negated_conjecture,
    ~ v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_280,c_0_271]) ).

cnf(c_0_288,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_56 ).

cnf(c_0_289,plain,
    ( v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,X1,esk3_0)))
    | ~ v16_lattices(esk1_0)
    | ~ r3_lattices(esk1_0,X1,esk3_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_281,c_0_282]),c_0_283]),c_0_268]),c_0_272])]),c_0_269]) ).

cnf(c_0_290,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_33 ).

cnf(c_0_291,plain,
    ( v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,X1,esk3_0)))
    | ~ v16_lattices(esk1_0)
    | ~ r3_lattices(esk1_0,X1,esk3_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_284,c_0_282]),c_0_283]),c_0_268]),c_0_272])]),c_0_269]) ).

cnf(c_0_292,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
    i_0_1 ).

cnf(c_0_293,plain,
    v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_268]),c_0_272])]),c_0_287]),c_0_269]) ).

cnf(c_0_294,plain,
    ( v3_struct_0(X1)
    | l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_66 ).

cnf(c_0_295,plain,
    m2_nat_lat(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)),esk1_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_286]),c_0_268]),c_0_272])]),c_0_287]),c_0_269]) ).

cnf(c_0_296,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_68 ).

cnf(c_0_297,plain,
    ( v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,X1,esk3_0)))
    | ~ r3_lattices(esk1_0,X1,esk3_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_289,c_0_290]),c_0_267]),c_0_268])]),c_0_269]) ).

cnf(c_0_298,negated_conjecture,
    r3_lattices(esk1_0,esk2_0,esk3_0),
    i_0_2 ).

cnf(c_0_299,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v11_lattices(k23_filter_2(X1,X2))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_239 ).

cnf(c_0_300,plain,
    ( v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,X1,esk3_0)))
    | ~ r3_lattices(esk1_0,X1,esk3_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_291,c_0_290]),c_0_267]),c_0_268])]),c_0_269]) ).

cnf(c_0_301,negated_conjecture,
    ( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293])]) ).

cnf(c_0_302,plain,
    l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_268]),c_0_272])]),c_0_269]) ).

cnf(c_0_303,plain,
    ~ v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_295]),c_0_268]),c_0_272])]),c_0_269]) ).

cnf(c_0_304,plain,
    ( v3_struct_0(X1)
    | v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v16_lattices(X1) ),
    i_0_39 ).

cnf(c_0_305,negated_conjecture,
    v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_274])]) ).

cnf(c_0_306,plain,
    v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    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(spm,[status(thm)],[c_0_299,c_0_286]),c_0_283]),c_0_268]),c_0_272])]),c_0_287]),c_0_269]) ).

cnf(c_0_307,negated_conjecture,
    v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_298]),c_0_274])]) ).

cnf(c_0_308,negated_conjecture,
    ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_302])]),c_0_303]) ).

cnf(c_0_309,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(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]),c_0_307]),c_0_302])]),c_0_308]),c_0_303]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 02:28:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 4.42/2.15  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.42/2.15  # No SInE strategy applied
% 4.42/2.15  # Trying AutoSched0 for 150 seconds
% 4.42/2.15  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 4.42/2.15  # and selection function SelectNewComplexAHPNS.
% 4.42/2.15  #
% 4.42/2.15  # Preprocessing time       : 0.025 s
% 4.42/2.15  
% 4.42/2.15  # Proof found!
% 4.42/2.15  # SZS status Theorem
% 4.42/2.15  # SZS output start CNFRefutation
% See solution above
% 4.42/2.15  # Training examples: 0 positive, 0 negative
% 4.42/2.15  
% 4.42/2.15  # -------------------------------------------------
% 4.42/2.15  # User time                : 0.039 s
% 4.42/2.15  # System time              : 0.004 s
% 4.42/2.15  # Total time               : 0.043 s
% 4.42/2.15  # Maximum resident set size: 7128 pages
% 4.42/2.15  
%------------------------------------------------------------------------------