TSTP Solution File: LAT331+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT331+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 13.08s 6.02s
% Output   : CNFRefutation 13.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   28
% Syntax   : Number of clauses     :  103 (  58 unt;  22 nHn; 103 RR)
%            Number of literals    :  208 (  48 equ;  96 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   51 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1119,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_1119) ).

cnf(i_0_1121,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_1121) ).

cnf(i_0_456,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_456) ).

cnf(i_0_2993,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_2993) ).

cnf(i_0_5581,negated_conjecture,
    l3_lattices(esk752_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5581) ).

cnf(i_0_5583,negated_conjecture,
    ~ v3_struct_0(esk752_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5583) ).

cnf(i_0_5578,negated_conjecture,
    l3_lattices(esk753_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5578) ).

cnf(i_0_5580,negated_conjecture,
    ~ v3_struct_0(esk753_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5580) ).

cnf(i_0_966,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_966) ).

cnf(i_0_457,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1)
    | ~ v3_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_457) ).

cnf(i_0_1288,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_1288) ).

cnf(i_0_5901,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-cu3guf6n/lgb.p',i_0_5901) ).

cnf(i_0_5582,negated_conjecture,
    v10_lattices(esk752_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5582) ).

cnf(i_0_5575,negated_conjecture,
    g3_lattices(u1_struct_0(esk753_0),u2_lattices(esk753_0),u1_lattices(esk753_0)) = g3_lattices(u1_struct_0(esk752_0),u2_lattices(esk752_0),u1_lattices(esk752_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5575) ).

cnf(i_0_2991,plain,
    ( u2_lattices(k1_lattice2(X1)) = u1_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_2991) ).

cnf(i_0_5579,negated_conjecture,
    v10_lattices(esk753_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5579) ).

cnf(i_0_2992,plain,
    ( u1_lattices(k1_lattice2(X1)) = u2_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_2992) ).

cnf(i_0_5576,negated_conjecture,
    m1_filter_2(esk755_0,esk753_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5576) ).

cnf(i_0_5574,negated_conjecture,
    esk754_0 = esk755_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5574) ).

cnf(i_0_2262,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_2262) ).

cnf(i_0_5577,negated_conjecture,
    m1_filter_2(esk754_0,esk752_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5577) ).

cnf(i_0_5446,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-cu3guf6n/lgb.p',i_0_5446) ).

cnf(i_0_1079,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-cu3guf6n/lgb.p',i_0_1079) ).

cnf(i_0_1352,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-cu3guf6n/lgb.p',i_0_1352) ).

cnf(i_0_5445,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-cu3guf6n/lgb.p',i_0_5445) ).

cnf(i_0_8,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-cu3guf6n/lgb.p',i_0_8) ).

cnf(i_0_5444,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-cu3guf6n/lgb.p',i_0_5444) ).

cnf(i_0_5573,negated_conjecture,
    k8_filter_0(esk753_0,esk755_0) != k8_filter_0(esk752_0,esk754_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu3guf6n/lgb.p',i_0_5573) ).

cnf(c_0_5930,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_1119 ).

cnf(c_0_5931,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1121 ).

cnf(c_0_5932,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_456 ).

cnf(c_0_5933,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5930,c_0_5931]) ).

cnf(c_0_5934,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_2993 ).

cnf(c_0_5935,negated_conjecture,
    l3_lattices(esk752_0),
    i_0_5581 ).

cnf(c_0_5936,negated_conjecture,
    ~ v3_struct_0(esk752_0),
    i_0_5583 ).

cnf(c_0_5937,negated_conjecture,
    l3_lattices(esk753_0),
    i_0_5578 ).

cnf(c_0_5938,negated_conjecture,
    ~ v3_struct_0(esk753_0),
    i_0_5580 ).

cnf(c_0_5939,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5932,c_0_5933]) ).

cnf(c_0_5940,negated_conjecture,
    u1_struct_0(k1_lattice2(esk752_0)) = u1_struct_0(esk752_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5934,c_0_5935]),c_0_5936]) ).

cnf(c_0_5941,negated_conjecture,
    u1_struct_0(k1_lattice2(esk753_0)) = u1_struct_0(esk753_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5934,c_0_5937]),c_0_5938]) ).

cnf(c_0_5942,plain,
    ( v3_struct_0(k1_lattice2(esk752_0))
    | ~ v1_xboole_0(u1_struct_0(esk752_0))
    | ~ l3_lattices(k1_lattice2(esk752_0)) ),
    inference(spm,[status(thm)],[c_0_5939,c_0_5940]) ).

cnf(c_0_5943,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_966 ).

cnf(c_0_5944,plain,
    ( v3_struct_0(k1_lattice2(esk753_0))
    | ~ v1_xboole_0(u1_struct_0(esk753_0))
    | ~ l3_lattices(k1_lattice2(esk753_0)) ),
    inference(spm,[status(thm)],[c_0_5939,c_0_5941]) ).

cnf(c_0_5945,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1)
    | ~ v3_struct_0(X1) ),
    i_0_457 ).

cnf(c_0_5946,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1288 ).

cnf(c_0_5947,plain,
    ( v3_struct_0(k1_lattice2(esk752_0))
    | ~ v1_xboole_0(u1_struct_0(esk752_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5942,c_0_5943]),c_0_5935])]) ).

cnf(c_0_5948,plain,
    ( v3_struct_0(k1_lattice2(esk753_0))
    | ~ v1_xboole_0(u1_struct_0(esk753_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5944,c_0_5943]),c_0_5937])]) ).

cnf(c_0_5949,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_5901 ).

cnf(c_0_5950,negated_conjecture,
    v10_lattices(esk752_0),
    i_0_5582 ).

cnf(c_0_5951,negated_conjecture,
    g3_lattices(u1_struct_0(esk753_0),u2_lattices(esk753_0),u1_lattices(esk753_0)) = g3_lattices(u1_struct_0(esk752_0),u2_lattices(esk752_0),u1_lattices(esk752_0)),
    i_0_5575 ).

cnf(c_0_5952,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_5945,c_0_5933]) ).

cnf(c_0_5953,plain,
    ~ v1_xboole_0(u1_struct_0(esk752_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5946,c_0_5947]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5954,plain,
    ~ v1_xboole_0(u1_struct_0(esk753_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5946,c_0_5948]),c_0_5937])]),c_0_5938]) ).

cnf(c_0_5955,plain,
    ( u2_lattices(k1_lattice2(X1)) = u1_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_2991 ).

cnf(c_0_5956,negated_conjecture,
    v10_lattices(esk753_0),
    i_0_5579 ).

cnf(c_0_5957,negated_conjecture,
    g3_lattices(u1_struct_0(esk753_0),u2_lattices(esk753_0),u1_lattices(esk753_0)) = k1_lattice2(k1_lattice2(esk752_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5949,c_0_5950]),c_0_5951]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5958,plain,
    ( u1_lattices(k1_lattice2(X1)) = u2_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_2992 ).

cnf(c_0_5959,plain,
    ( ~ l3_lattices(k1_lattice2(esk752_0))
    | ~ v3_struct_0(k1_lattice2(esk752_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5952,c_0_5940]),c_0_5953]) ).

cnf(c_0_5960,negated_conjecture,
    m1_filter_2(esk755_0,esk753_0),
    i_0_5576 ).

cnf(c_0_5961,negated_conjecture,
    esk754_0 = esk755_0,
    i_0_5574 ).

cnf(c_0_5962,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_2262 ).

cnf(c_0_5963,negated_conjecture,
    m1_filter_2(esk754_0,esk752_0),
    i_0_5577 ).

cnf(c_0_5964,plain,
    ( ~ l3_lattices(k1_lattice2(esk753_0))
    | ~ v3_struct_0(k1_lattice2(esk753_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5952,c_0_5941]),c_0_5954]) ).

cnf(c_0_5965,plain,
    ( u2_lattices(k1_lattice2(k1_lattice2(X1))) = u1_lattices(k1_lattice2(X1))
    | v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5955,c_0_5943]) ).

cnf(c_0_5966,negated_conjecture,
    k1_lattice2(k1_lattice2(esk752_0)) = k1_lattice2(k1_lattice2(esk753_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5949,c_0_5956]),c_0_5937])]),c_0_5938]),c_0_5957]) ).

cnf(c_0_5967,negated_conjecture,
    u1_lattices(k1_lattice2(esk752_0)) = u2_lattices(esk752_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5958,c_0_5935]),c_0_5936]) ).

cnf(c_0_5968,plain,
    ~ v3_struct_0(k1_lattice2(esk752_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5959,c_0_5943]),c_0_5935])]) ).

cnf(c_0_5969,negated_conjecture,
    m1_filter_2(esk754_0,esk753_0),
    inference(rw,[status(thm)],[c_0_5960,c_0_5961]) ).

cnf(c_0_5970,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_5446 ).

cnf(c_0_5971,negated_conjecture,
    m1_filter_0(esk754_0,esk752_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5962,c_0_5963]),c_0_5950]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5972,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_1079 ).

cnf(c_0_5973,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_1352 ).

cnf(c_0_5974,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_5445 ).

cnf(c_0_5975,negated_conjecture,
    u1_lattices(k1_lattice2(esk753_0)) = u2_lattices(esk753_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5958,c_0_5937]),c_0_5938]) ).

cnf(c_0_5976,plain,
    ~ v3_struct_0(k1_lattice2(esk753_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5964,c_0_5943]),c_0_5937])]) ).

cnf(c_0_5977,negated_conjecture,
    u2_lattices(k1_lattice2(k1_lattice2(esk753_0))) = u2_lattices(esk752_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5965,c_0_5935]),c_0_5966]),c_0_5967]),c_0_5968]) ).

cnf(c_0_5978,negated_conjecture,
    m1_filter_0(esk754_0,esk753_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5962,c_0_5969]),c_0_5956]),c_0_5937])]),c_0_5938]) ).

cnf(c_0_5979,plain,
    ( u1_lattices(k1_lattice2(k1_lattice2(X1))) = u2_lattices(k1_lattice2(X1))
    | v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5958,c_0_5943]) ).

cnf(c_0_5980,negated_conjecture,
    u2_lattices(k1_lattice2(esk752_0)) = u1_lattices(esk752_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5955,c_0_5935]),c_0_5936]) ).

cnf(c_0_5981,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_8 ).

cnf(c_0_5982,negated_conjecture,
    u1_struct_0(k8_filter_0(esk752_0,esk754_0)) = esk754_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5970,c_0_5971]),c_0_5950]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5983,negated_conjecture,
    l3_lattices(k8_filter_0(esk752_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5972,c_0_5971]),c_0_5950]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5984,negated_conjecture,
    v3_lattices(k8_filter_0(esk752_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5973,c_0_5971]),c_0_5950]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5985,negated_conjecture,
    k1_realset1(u2_lattices(esk752_0),esk754_0) = u2_lattices(k8_filter_0(esk752_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5974,c_0_5971]),c_0_5950]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5986,negated_conjecture,
    u2_lattices(esk752_0) = u2_lattices(esk753_0),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5965,c_0_5937]),c_0_5975]),c_0_5976]),c_0_5977]) ).

cnf(c_0_5987,negated_conjecture,
    k1_realset1(u2_lattices(esk753_0),esk754_0) = u2_lattices(k8_filter_0(esk753_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5974,c_0_5978]),c_0_5956]),c_0_5937])]),c_0_5938]) ).

cnf(c_0_5988,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_5444 ).

cnf(c_0_5989,negated_conjecture,
    u2_lattices(k1_lattice2(esk753_0)) = u1_lattices(esk753_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5955,c_0_5937]),c_0_5938]) ).

cnf(c_0_5990,negated_conjecture,
    u1_lattices(k1_lattice2(k1_lattice2(esk753_0))) = u1_lattices(esk752_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5979,c_0_5935]),c_0_5966]),c_0_5980]),c_0_5968]) ).

cnf(c_0_5991,plain,
    g3_lattices(esk754_0,u2_lattices(k8_filter_0(esk752_0,esk754_0)),u1_lattices(k8_filter_0(esk752_0,esk754_0))) = k8_filter_0(esk752_0,esk754_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5981,c_0_5982]),c_0_5983])]),c_0_5984])]) ).

cnf(c_0_5992,negated_conjecture,
    u2_lattices(k8_filter_0(esk752_0,esk754_0)) = u2_lattices(k8_filter_0(esk753_0,esk754_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5985,c_0_5986]),c_0_5987]) ).

cnf(c_0_5993,negated_conjecture,
    k1_realset1(u1_lattices(esk752_0),esk754_0) = u1_lattices(k8_filter_0(esk752_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5988,c_0_5971]),c_0_5950]),c_0_5935])]),c_0_5936]) ).

cnf(c_0_5994,negated_conjecture,
    u1_lattices(esk752_0) = u1_lattices(esk753_0),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5979,c_0_5937]),c_0_5989]),c_0_5976]),c_0_5990]) ).

cnf(c_0_5995,negated_conjecture,
    k1_realset1(u1_lattices(esk753_0),esk754_0) = u1_lattices(k8_filter_0(esk753_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5988,c_0_5978]),c_0_5956]),c_0_5937])]),c_0_5938]) ).

cnf(c_0_5996,negated_conjecture,
    u1_struct_0(k8_filter_0(esk753_0,esk754_0)) = esk754_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5970,c_0_5978]),c_0_5956]),c_0_5937])]),c_0_5938]) ).

cnf(c_0_5997,negated_conjecture,
    l3_lattices(k8_filter_0(esk753_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5972,c_0_5978]),c_0_5956]),c_0_5937])]),c_0_5938]) ).

cnf(c_0_5998,negated_conjecture,
    v3_lattices(k8_filter_0(esk753_0,esk754_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5973,c_0_5978]),c_0_5956]),c_0_5937])]),c_0_5938]) ).

cnf(c_0_5999,negated_conjecture,
    k8_filter_0(esk753_0,esk755_0) != k8_filter_0(esk752_0,esk754_0),
    i_0_5573 ).

cnf(c_0_6000,plain,
    g3_lattices(esk754_0,u2_lattices(k8_filter_0(esk753_0,esk754_0)),u1_lattices(k8_filter_0(esk752_0,esk754_0))) = k8_filter_0(esk752_0,esk754_0),
    inference(rw,[status(thm)],[c_0_5991,c_0_5992]) ).

cnf(c_0_6001,negated_conjecture,
    u1_lattices(k8_filter_0(esk752_0,esk754_0)) = u1_lattices(k8_filter_0(esk753_0,esk754_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5993,c_0_5994]),c_0_5995]) ).

cnf(c_0_6002,plain,
    g3_lattices(esk754_0,u2_lattices(k8_filter_0(esk753_0,esk754_0)),u1_lattices(k8_filter_0(esk753_0,esk754_0))) = k8_filter_0(esk753_0,esk754_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5981,c_0_5996]),c_0_5997])]),c_0_5998])]) ).

cnf(c_0_6003,negated_conjecture,
    k8_filter_0(esk752_0,esk754_0) != k8_filter_0(esk753_0,esk754_0),
    inference(rw,[status(thm)],[c_0_5999,c_0_5961]) ).

cnf(c_0_6004,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6000,c_0_6001]),c_0_6002]),c_0_6003]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : LAT331+4 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Wed Jun 29 08:06:48 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.34  # ENIGMATIC: Selected SinE mode:
% 1.20/1.40  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.40  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.20/1.40  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.20/1.40  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.08/6.02  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.08/6.02  # No SInE strategy applied
% 13.08/6.02  # Trying AutoSched0 for 149 seconds
% 13.08/6.02  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 13.08/6.02  # and selection function SelectComplexExceptUniqMaxHorn.
% 13.08/6.02  #
% 13.08/6.02  # Preprocessing time       : 0.025 s
% 13.08/6.02  # Presaturation interreduction done
% 13.08/6.02  
% 13.08/6.02  # Proof found!
% 13.08/6.02  # SZS status Theorem
% 13.08/6.02  # SZS output start CNFRefutation
% See solution above
% 13.08/6.02  # Training examples: 0 positive, 0 negative
% 13.08/6.02  
% 13.08/6.02  # -------------------------------------------------
% 13.08/6.02  # User time                : 0.224 s
% 13.08/6.02  # System time              : 0.020 s
% 13.08/6.02  # Total time               : 0.244 s
% 13.08/6.02  # Maximum resident set size: 7136 pages
% 13.08/6.02  
%------------------------------------------------------------------------------