TSTP Solution File: LAT295+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT295+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 04:29:03 EDT 2022

% Result   : Theorem 12.28s 6.08s
% Output   : CNFRefutation 12.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   58 (  26 unt;  17 nHn;  58 RR)
%            Number of literals    :  217 (  52 equ; 148 neg)
%            Maximal clause size   :   12 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :   64 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3451,plain,
    ( k2_lattices(X1,X2,X3) = k2_lattices(X4,X5,X6)
    | v3_struct_0(X4)
    | v3_struct_0(X1)
    | X3 != X6
    | X2 != X5
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X6,u1_struct_0(X4))
    | ~ m1_subset_1(X5,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_3451) ).

cnf(i_0_3452,plain,
    ( k1_lattices(X1,X2,X3) = k1_lattices(X4,X5,X6)
    | v3_struct_0(X4)
    | v3_struct_0(X1)
    | X3 != X6
    | X2 != X5
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X6,u1_struct_0(X4))
    | ~ m1_subset_1(X5,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_3452) ).

cnf(i_0_6737,negated_conjecture,
    g3_lattices(u1_struct_0(esk974_0),u2_lattices(esk974_0),u1_lattices(esk974_0)) = g3_lattices(u1_struct_0(esk973_0),u2_lattices(esk973_0),u1_lattices(esk973_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6737) ).

cnf(i_0_6740,negated_conjecture,
    l3_lattices(esk973_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6740) ).

cnf(i_0_6741,negated_conjecture,
    ~ v3_struct_0(esk973_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6741) ).

cnf(i_0_6727,negated_conjecture,
    ( k1_lattices(esk974_0,esk977_0,esk978_0) != k1_lattices(esk973_0,esk975_0,esk976_0)
    | k2_lattices(esk974_0,esk977_0,esk978_0) != k2_lattices(esk973_0,esk975_0,esk976_0)
    | ~ r1_lattices(esk973_0,esk975_0,esk976_0)
    | ~ r1_lattices(esk974_0,esk977_0,esk978_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6727) ).

cnf(i_0_6732,negated_conjecture,
    esk975_0 = esk977_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6732) ).

cnf(i_0_6731,negated_conjecture,
    esk976_0 = esk978_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6731) ).

cnf(i_0_6738,negated_conjecture,
    l3_lattices(esk974_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6738) ).

cnf(i_0_6739,negated_conjecture,
    ~ v3_struct_0(esk974_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6739) ).

cnf(i_0_6736,negated_conjecture,
    m1_subset_1(esk975_0,u1_struct_0(esk973_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6736) ).

cnf(i_0_6733,negated_conjecture,
    m1_subset_1(esk978_0,u1_struct_0(esk974_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6733) ).

cnf(i_0_6730,negated_conjecture,
    ( r1_lattices(esk973_0,esk975_0,esk976_0)
    | r1_lattices(esk974_0,esk977_0,esk978_0)
    | k1_lattices(esk974_0,esk977_0,esk978_0) != k1_lattices(esk973_0,esk975_0,esk976_0)
    | k2_lattices(esk974_0,esk977_0,esk978_0) != k2_lattices(esk973_0,esk975_0,esk976_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6730) ).

cnf(i_0_6735,negated_conjecture,
    m1_subset_1(esk976_0,u1_struct_0(esk973_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6735) ).

cnf(i_0_6734,negated_conjecture,
    m1_subset_1(esk977_0,u1_struct_0(esk974_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_6734) ).

cnf(i_0_854,plain,
    ( v3_struct_0(X1)
    | r1_lattices(X1,X2,X3)
    | k1_lattices(X1,X2,X3) != X3
    | ~ l2_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-hastadkp/lgb.p',i_0_854) ).

cnf(i_0_855,plain,
    ( k1_lattices(X1,X2,X3) = X3
    | v3_struct_0(X1)
    | ~ l2_lattices(X1)
    | ~ r1_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-hastadkp/lgb.p',i_0_855) ).

cnf(i_0_1424,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hastadkp/lgb.p',i_0_1424) ).

cnf(c_0_6760,plain,
    ( k2_lattices(X1,X2,X3) = k2_lattices(X4,X5,X6)
    | v3_struct_0(X4)
    | v3_struct_0(X1)
    | X3 != X6
    | X2 != X5
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X6,u1_struct_0(X4))
    | ~ m1_subset_1(X5,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3451 ).

cnf(c_0_6761,plain,
    ( k1_lattices(X1,X2,X3) = k1_lattices(X4,X5,X6)
    | v3_struct_0(X4)
    | v3_struct_0(X1)
    | X3 != X6
    | X2 != X5
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X6,u1_struct_0(X4))
    | ~ m1_subset_1(X5,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3452 ).

cnf(c_0_6762,plain,
    ( k2_lattices(X1,X2,X3) = k2_lattices(X4,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))
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X4))
    | ~ m1_subset_1(X2,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6760])]) ).

cnf(c_0_6763,negated_conjecture,
    g3_lattices(u1_struct_0(esk974_0),u2_lattices(esk974_0),u1_lattices(esk974_0)) = g3_lattices(u1_struct_0(esk973_0),u2_lattices(esk973_0),u1_lattices(esk973_0)),
    i_0_6737 ).

cnf(c_0_6764,negated_conjecture,
    l3_lattices(esk973_0),
    i_0_6740 ).

cnf(c_0_6765,negated_conjecture,
    ~ v3_struct_0(esk973_0),
    i_0_6741 ).

cnf(c_0_6766,plain,
    ( k1_lattices(X1,X2,X3) = k1_lattices(X4,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))
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X4))
    | ~ m1_subset_1(X2,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6761])]) ).

cnf(c_0_6767,negated_conjecture,
    ( k1_lattices(esk974_0,esk977_0,esk978_0) != k1_lattices(esk973_0,esk975_0,esk976_0)
    | k2_lattices(esk974_0,esk977_0,esk978_0) != k2_lattices(esk973_0,esk975_0,esk976_0)
    | ~ r1_lattices(esk973_0,esk975_0,esk976_0)
    | ~ r1_lattices(esk974_0,esk977_0,esk978_0) ),
    i_0_6727 ).

cnf(c_0_6768,negated_conjecture,
    esk975_0 = esk977_0,
    i_0_6732 ).

cnf(c_0_6769,negated_conjecture,
    esk976_0 = esk978_0,
    i_0_6731 ).

cnf(c_0_6770,negated_conjecture,
    ( k2_lattices(X1,X2,X3) = k2_lattices(esk973_0,X2,X3)
    | v3_struct_0(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk974_0),u2_lattices(esk974_0),u1_lattices(esk974_0))
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6762,c_0_6763]),c_0_6764])]),c_0_6765]) ).

cnf(c_0_6771,negated_conjecture,
    l3_lattices(esk974_0),
    i_0_6738 ).

cnf(c_0_6772,negated_conjecture,
    ~ v3_struct_0(esk974_0),
    i_0_6739 ).

cnf(c_0_6773,negated_conjecture,
    m1_subset_1(esk975_0,u1_struct_0(esk973_0)),
    i_0_6736 ).

cnf(c_0_6774,negated_conjecture,
    m1_subset_1(esk978_0,u1_struct_0(esk974_0)),
    i_0_6733 ).

cnf(c_0_6775,negated_conjecture,
    ( k1_lattices(X1,X2,X3) = k1_lattices(esk973_0,X2,X3)
    | v3_struct_0(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk974_0),u2_lattices(esk974_0),u1_lattices(esk974_0))
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6766,c_0_6763]),c_0_6764])]),c_0_6765]) ).

cnf(c_0_6776,negated_conjecture,
    ( r1_lattices(esk973_0,esk975_0,esk976_0)
    | r1_lattices(esk974_0,esk977_0,esk978_0)
    | k1_lattices(esk974_0,esk977_0,esk978_0) != k1_lattices(esk973_0,esk975_0,esk976_0)
    | k2_lattices(esk974_0,esk977_0,esk978_0) != k2_lattices(esk973_0,esk975_0,esk976_0) ),
    i_0_6730 ).

cnf(c_0_6777,negated_conjecture,
    ( k1_lattices(esk973_0,esk977_0,esk976_0) != k1_lattices(esk974_0,esk977_0,esk976_0)
    | k2_lattices(esk973_0,esk977_0,esk976_0) != k2_lattices(esk974_0,esk977_0,esk976_0)
    | ~ r1_lattices(esk974_0,esk977_0,esk976_0)
    | ~ r1_lattices(esk973_0,esk977_0,esk976_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6767,c_0_6768]),c_0_6769]),c_0_6768]),c_0_6769]),c_0_6769]),c_0_6768]) ).

cnf(c_0_6778,negated_conjecture,
    ( k2_lattices(esk973_0,X1,X2) = k2_lattices(esk974_0,X1,X2)
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk974_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk974_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_6770]),c_0_6771])]),c_0_6772]) ).

cnf(c_0_6779,negated_conjecture,
    m1_subset_1(esk976_0,u1_struct_0(esk973_0)),
    i_0_6735 ).

cnf(c_0_6780,negated_conjecture,
    m1_subset_1(esk977_0,u1_struct_0(esk973_0)),
    inference(rw,[status(thm)],[c_0_6773,c_0_6768]) ).

cnf(c_0_6781,negated_conjecture,
    m1_subset_1(esk976_0,u1_struct_0(esk974_0)),
    inference(rw,[status(thm)],[c_0_6774,c_0_6769]) ).

cnf(c_0_6782,negated_conjecture,
    m1_subset_1(esk977_0,u1_struct_0(esk974_0)),
    i_0_6734 ).

cnf(c_0_6783,plain,
    ( v3_struct_0(X1)
    | r1_lattices(X1,X2,X3)
    | k1_lattices(X1,X2,X3) != X3
    | ~ l2_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_854 ).

cnf(c_0_6784,negated_conjecture,
    ( k1_lattices(esk973_0,X1,X2) = k1_lattices(esk974_0,X1,X2)
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk974_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk974_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_6775]),c_0_6771])]),c_0_6772]) ).

cnf(c_0_6785,plain,
    ( k1_lattices(X1,X2,X3) = X3
    | v3_struct_0(X1)
    | ~ l2_lattices(X1)
    | ~ r1_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_855 ).

cnf(c_0_6786,negated_conjecture,
    ( r1_lattices(esk973_0,esk977_0,esk976_0)
    | r1_lattices(esk974_0,esk977_0,esk976_0)
    | k1_lattices(esk973_0,esk977_0,esk976_0) != k1_lattices(esk974_0,esk977_0,esk976_0)
    | k2_lattices(esk973_0,esk977_0,esk976_0) != k2_lattices(esk974_0,esk977_0,esk976_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6776,c_0_6769]),c_0_6768]),c_0_6768]),c_0_6769]),c_0_6768]),c_0_6769]) ).

cnf(c_0_6787,negated_conjecture,
    ( k1_lattices(esk973_0,esk977_0,esk976_0) != k1_lattices(esk974_0,esk977_0,esk976_0)
    | ~ r1_lattices(esk974_0,esk977_0,esk976_0)
    | ~ r1_lattices(esk973_0,esk977_0,esk976_0) ),
    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_6777,c_0_6778]),c_0_6779]),c_0_6780]),c_0_6781]),c_0_6782])]) ).

cnf(c_0_6788,plain,
    ( r1_lattices(esk973_0,X1,X2)
    | k1_lattices(esk974_0,X1,X2) != X2
    | ~ l2_lattices(esk973_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk974_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk974_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6783,c_0_6784]),c_0_6765]) ).

cnf(c_0_6789,plain,
    ( k1_lattices(esk974_0,X1,X2) = X2
    | ~ l2_lattices(esk973_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk974_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk974_0))
    | ~ r1_lattices(esk973_0,X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6785,c_0_6784]),c_0_6765]) ).

cnf(c_0_6790,negated_conjecture,
    ( r1_lattices(esk973_0,esk977_0,esk976_0)
    | r1_lattices(esk974_0,esk977_0,esk976_0)
    | k1_lattices(esk973_0,esk977_0,esk976_0) != k1_lattices(esk974_0,esk977_0,esk976_0) ),
    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_6786,c_0_6778]),c_0_6779]),c_0_6780]),c_0_6781]),c_0_6782])]) ).

cnf(c_0_6791,negated_conjecture,
    ( ~ r1_lattices(esk974_0,esk977_0,esk976_0)
    | ~ r1_lattices(esk973_0,esk977_0,esk976_0) ),
    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_6787,c_0_6784]),c_0_6779]),c_0_6780]),c_0_6781]),c_0_6782])]) ).

cnf(c_0_6792,plain,
    ( r1_lattices(esk973_0,X1,X2)
    | ~ l2_lattices(esk973_0)
    | ~ l2_lattices(esk974_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk974_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk974_0))
    | ~ r1_lattices(esk974_0,X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6788,c_0_6785]),c_0_6772]) ).

cnf(c_0_6793,plain,
    ( r1_lattices(esk974_0,X1,X2)
    | ~ l2_lattices(esk974_0)
    | ~ l2_lattices(esk973_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk974_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk974_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk973_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk973_0))
    | ~ r1_lattices(esk973_0,X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6783,c_0_6789]),c_0_6772]) ).

cnf(c_0_6794,negated_conjecture,
    ( r1_lattices(esk974_0,esk977_0,esk976_0)
    | r1_lattices(esk973_0,esk977_0,esk976_0) ),
    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_6790,c_0_6784]),c_0_6779]),c_0_6780]),c_0_6781]),c_0_6782])]) ).

cnf(c_0_6795,plain,
    ( ~ l2_lattices(esk973_0)
    | ~ l2_lattices(esk974_0)
    | ~ r1_lattices(esk974_0,esk977_0,esk976_0) ),
    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_6791,c_0_6792]),c_0_6779]),c_0_6780]),c_0_6781]),c_0_6782])]) ).

cnf(c_0_6796,plain,
    ( ~ l2_lattices(esk974_0)
    | ~ l2_lattices(esk973_0) ),
    inference(csr,[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_6793,c_0_6794]),c_0_6781]),c_0_6782]),c_0_6779]),c_0_6780])]),c_0_6795]) ).

cnf(c_0_6797,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1424 ).

cnf(c_0_6798,plain,
    ~ l2_lattices(esk974_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6796,c_0_6797]),c_0_6764])]) ).

cnf(c_0_6799,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6798,c_0_6797]),c_0_6771])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT295+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun 30 06:13:54 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 1.34/1.56  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.34/1.56  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.34/1.56  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.34/1.56  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.28/6.08  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.28/6.08  # No SInE strategy applied
% 12.28/6.08  # Trying AutoSched0 for 148 seconds
% 12.28/6.08  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 12.28/6.08  # and selection function SelectMaxLComplexAvoidPosPred.
% 12.28/6.08  #
% 12.28/6.08  # Preprocessing time       : 0.029 s
% 12.28/6.08  # Presaturation interreduction done
% 12.28/6.08  
% 12.28/6.08  # Proof found!
% 12.28/6.08  # SZS status Theorem
% 12.28/6.08  # SZS output start CNFRefutation
% See solution above
% 12.28/6.08  # Training examples: 0 positive, 0 negative
% 12.28/6.08  
% 12.28/6.08  # -------------------------------------------------
% 12.28/6.08  # User time                : 0.070 s
% 12.28/6.08  # System time              : 0.008 s
% 12.28/6.08  # Total time               : 0.078 s
% 12.28/6.08  # Maximum resident set size: 7132 pages
% 12.28/6.08  
%------------------------------------------------------------------------------