TSTP Solution File: LAT332+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT332+2 : 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 04:29:47 EDT 2022

% Result   : Theorem 9.82s 3.67s
% Output   : CNFRefutation 9.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   71 (  27 unt;  36 nHn;  71 RR)
%            Number of literals    :  229 (  46 equ; 126 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-3 aty)
%            Number of variables   :   64 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1366,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_1366) ).

cnf(i_0_3361,negated_conjecture,
    v10_lattices(esk515_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3361) ).

cnf(i_0_3360,negated_conjecture,
    l3_lattices(esk515_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3360) ).

cnf(i_0_3362,negated_conjecture,
    ~ v3_struct_0(esk515_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3362) ).

cnf(i_0_474,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_474) ).

cnf(i_0_798,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k1_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_798) ).

cnf(i_0_1864,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_1864) ).

cnf(i_0_711,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_711) ).

cnf(i_0_3321,plain,
    ( k23_filter_2(X1,X2) = k8_filter_0(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3321) ).

cnf(i_0_895,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k8_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_895) ).

cnf(i_0_3359,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,k17_filter_2(esk515_0))
    | g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,k1_filter_2(esk515_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3359) ).

cnf(i_0_3172,plain,
    ( u1_struct_0(k8_filter_0(X1,X2)) = X2
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3172) ).

cnf(i_0_991,plain,
    ( v3_struct_0(X1)
    | v3_lattices(k8_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_991) ).

cnf(i_0_362,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_362) ).

cnf(i_0_923,plain,
    ( l3_lattices(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_923) ).

cnf(i_0_924,plain,
    ( v3_struct_0(X1)
    | v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_924) ).

cnf(i_0_925,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_925) ).

cnf(i_0_3418,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3418) ).

cnf(i_0_3171,plain,
    ( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3171) ).

cnf(i_0_3,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3) ).

cnf(i_0_361,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_361) ).

cnf(i_0_3170,plain,
    ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3170) ).

cnf(i_0_3483,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = k1_lattice2(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pi5k1o20/lgb.p',i_0_3483) ).

cnf(c_0_3507,plain,
    ( k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1366 ).

cnf(c_0_3508,negated_conjecture,
    v10_lattices(esk515_0),
    i_0_3361 ).

cnf(c_0_3509,negated_conjecture,
    l3_lattices(esk515_0),
    i_0_3360 ).

cnf(c_0_3510,negated_conjecture,
    ~ v3_struct_0(esk515_0),
    i_0_3362 ).

cnf(c_0_3511,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_474 ).

cnf(c_0_3512,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(k1_filter_2(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_798 ).

cnf(c_0_3513,negated_conjecture,
    k1_filter_2(esk515_0) = k1_filter_0(esk515_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3507,c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3514,negated_conjecture,
    k1_filter_0(esk515_0) = u1_struct_0(esk515_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3511,c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3515,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1864 ).

cnf(c_0_3516,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_711 ).

cnf(c_0_3517,plain,
    ( k23_filter_2(X1,X2) = k8_filter_0(X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_3321 ).

cnf(c_0_3518,negated_conjecture,
    m1_filter_2(u1_struct_0(esk515_0),esk515_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_3512,c_0_3508]),c_0_3513]),c_0_3514]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3519,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k8_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_895 ).

cnf(c_0_3520,negated_conjecture,
    m1_filter_0(u1_struct_0(esk515_0),esk515_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3515,c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3521,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,k17_filter_2(esk515_0))
    | g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,k1_filter_2(esk515_0)) ),
    i_0_3359 ).

cnf(c_0_3522,negated_conjecture,
    k17_filter_2(esk515_0) = u1_struct_0(esk515_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3516,c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3523,plain,
    ( u1_struct_0(k8_filter_0(X1,X2)) = X2
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_3172 ).

cnf(c_0_3524,negated_conjecture,
    k8_filter_0(esk515_0,u1_struct_0(esk515_0)) = k23_filter_2(esk515_0,u1_struct_0(esk515_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3517,c_0_3518]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3525,negated_conjecture,
    l3_lattices(k8_filter_0(esk515_0,u1_struct_0(esk515_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3519,c_0_3520]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3526,plain,
    ( v3_struct_0(X1)
    | v3_lattices(k8_filter_0(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_991 ).

cnf(c_0_3527,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_362 ).

cnf(c_0_3528,plain,
    ( l3_lattices(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2) ),
    i_0_923 ).

cnf(c_0_3529,plain,
    ( v3_struct_0(X1)
    | v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_924 ).

cnf(c_0_3530,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X2)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_925 ).

cnf(c_0_3531,plain,
    ( v3_struct_0(X1)
    | m2_nat_lat(X1,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_3418 ).

cnf(c_0_3532,plain,
    ( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_3171 ).

cnf(c_0_3533,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,u1_struct_0(esk515_0))
    | g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,k1_filter_2(esk515_0)) ),
    inference(rw,[status(thm)],[c_0_3521,c_0_3522]) ).

cnf(c_0_3534,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_3 ).

cnf(c_0_3535,negated_conjecture,
    u1_struct_0(k23_filter_2(esk515_0,u1_struct_0(esk515_0))) = u1_struct_0(esk515_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_3523,c_0_3520]),c_0_3524]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3536,negated_conjecture,
    l3_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_0))),
    inference(rw,[status(thm)],[c_0_3525,c_0_3524]) ).

cnf(c_0_3537,negated_conjecture,
    v3_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_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_3526,c_0_3520]),c_0_3524]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3538,plain,
    ( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
    | v3_struct_0(X1)
    | ~ m2_nat_lat(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3527,c_0_3528]),c_0_3529]),c_0_3530]) ).

cnf(c_0_3539,negated_conjecture,
    m2_nat_lat(esk515_0,esk515_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3531,c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3540,negated_conjecture,
    k1_realset1(u2_lattices(esk515_0),u1_struct_0(esk515_0)) = u2_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_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_3532,c_0_3520]),c_0_3524]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3541,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X2,X1) ),
    i_0_361 ).

cnf(c_0_3542,plain,
    ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_3170 ).

cnf(c_0_3543,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,u1_struct_0(esk515_0))
    | g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,k1_filter_0(esk515_0)) ),
    inference(rw,[status(thm)],[c_0_3533,c_0_3513]) ).

cnf(c_0_3544,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = k1_lattice2(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_3483 ).

cnf(c_0_3545,plain,
    g3_lattices(u1_struct_0(esk515_0),u2_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_0))),u1_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_0)))) = k23_filter_2(esk515_0,u1_struct_0(esk515_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3534,c_0_3535]),c_0_3536])]),c_0_3537])]) ).

cnf(c_0_3546,negated_conjecture,
    u2_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_0))) = u2_lattices(esk515_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_3538,c_0_3539]),c_0_3540]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3547,plain,
    ( k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2)
    | v3_struct_0(X1)
    | ~ m2_nat_lat(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3541,c_0_3528]),c_0_3529]),c_0_3530]) ).

cnf(c_0_3548,negated_conjecture,
    k1_realset1(u1_lattices(esk515_0),u1_struct_0(esk515_0)) = u1_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_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_3542,c_0_3520]),c_0_3524]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3549,negated_conjecture,
    g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) != k23_filter_2(esk515_0,u1_struct_0(esk515_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3543,c_0_3514])]) ).

cnf(c_0_3550,negated_conjecture,
    g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(esk515_0)) = k1_lattice2(k1_lattice2(esk515_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3544,c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3551,plain,
    g3_lattices(u1_struct_0(esk515_0),u2_lattices(esk515_0),u1_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_0)))) = k23_filter_2(esk515_0,u1_struct_0(esk515_0)),
    inference(rw,[status(thm)],[c_0_3545,c_0_3546]) ).

cnf(c_0_3552,negated_conjecture,
    u1_lattices(k23_filter_2(esk515_0,u1_struct_0(esk515_0))) = u1_lattices(esk515_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_3547,c_0_3539]),c_0_3548]),c_0_3508]),c_0_3509])]),c_0_3510]) ).

cnf(c_0_3553,negated_conjecture,
    k23_filter_2(esk515_0,u1_struct_0(esk515_0)) != k1_lattice2(k1_lattice2(esk515_0)),
    inference(rw,[status(thm)],[c_0_3549,c_0_3550]) ).

cnf(c_0_3554,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3551,c_0_3552]),c_0_3550]),c_0_3553]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT332+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 30 04:26:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.36/0.59  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.59  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.36/0.59  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.36/0.59  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.82/3.67  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.82/3.67  # No SInE strategy applied
% 9.82/3.67  # Trying AutoSched0 for 150 seconds
% 9.82/3.67  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.82/3.67  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.82/3.67  #
% 9.82/3.67  # Preprocessing time       : 0.026 s
% 9.82/3.67  # Presaturation interreduction done
% 9.82/3.67  
% 9.82/3.67  # Proof found!
% 9.82/3.67  # SZS status Theorem
% 9.82/3.67  # SZS output start CNFRefutation
% See solution above
% 9.82/3.67  # Training examples: 0 positive, 0 negative
% 9.82/3.67  
% 9.82/3.67  # -------------------------------------------------
% 9.82/3.67  # User time                : 0.139 s
% 9.82/3.67  # System time              : 0.004 s
% 9.82/3.67  # Total time               : 0.143 s
% 9.82/3.67  # Maximum resident set size: 7132 pages
% 9.82/3.67  
%------------------------------------------------------------------------------