TSTP Solution File: LAT331+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT331+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 04:29:46 EDT 2022
% Result : Theorem 8.98s 3.51s
% Output : CNFRefutation 8.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of clauses : 94 ( 64 unt; 26 nHn; 94 RR)
% Number of literals : 218 ( 46 equ; 101 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1853,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-tpj2ds1s/lgb.p',i_0_1853) ).
cnf(i_0_3268,negated_conjecture,
v10_lattices(esk500_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3268) ).
cnf(i_0_3267,negated_conjecture,
l3_lattices(esk500_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3267) ).
cnf(i_0_3269,negated_conjecture,
~ v3_struct_0(esk500_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3269) ).
cnf(i_0_3265,negated_conjecture,
v10_lattices(esk501_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3265) ).
cnf(i_0_3264,negated_conjecture,
l3_lattices(esk501_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3264) ).
cnf(i_0_3266,negated_conjecture,
~ v3_struct_0(esk501_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3266) ).
cnf(i_0_346,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-tpj2ds1s/lgb.p',i_0_346) ).
cnf(i_0_912,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-tpj2ds1s/lgb.p',i_0_912) ).
cnf(i_0_913,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-tpj2ds1s/lgb.p',i_0_913) ).
cnf(i_0_914,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-tpj2ds1s/lgb.p',i_0_914) ).
cnf(i_0_3412,plain,
( v3_struct_0(X1)
| m2_nat_lat(X1,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3412) ).
cnf(i_0_3163,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-tpj2ds1s/lgb.p',i_0_3163) ).
cnf(i_0_3164,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-tpj2ds1s/lgb.p',i_0_3164) ).
cnf(i_0_980,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-tpj2ds1s/lgb.p',i_0_980) ).
cnf(i_0_884,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-tpj2ds1s/lgb.p',i_0_884) ).
cnf(i_0_345,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-tpj2ds1s/lgb.p',i_0_345) ).
cnf(i_0_3162,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-tpj2ds1s/lgb.p',i_0_3162) ).
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-tpj2ds1s/lgb.p',i_0_3) ).
cnf(i_0_3261,negated_conjecture,
g3_lattices(u1_struct_0(esk501_0),u2_lattices(esk501_0),u1_lattices(esk501_0)) = g3_lattices(u1_struct_0(esk500_0),u2_lattices(esk500_0),u1_lattices(esk500_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3261) ).
cnf(i_0_3262,negated_conjecture,
m1_filter_2(esk503_0,esk501_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3262) ).
cnf(i_0_3260,negated_conjecture,
esk502_0 = esk503_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3260) ).
cnf(i_0_1393,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-tpj2ds1s/lgb.p',i_0_1393) ).
cnf(i_0_3263,negated_conjecture,
m1_filter_2(esk502_0,esk500_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3263) ).
cnf(i_0_3259,negated_conjecture,
k8_filter_0(esk501_0,esk503_0) != k8_filter_0(esk500_0,esk502_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tpj2ds1s/lgb.p',i_0_3259) ).
cnf(c_0_3438,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_1853 ).
cnf(c_0_3439,negated_conjecture,
v10_lattices(esk500_0),
i_0_3268 ).
cnf(c_0_3440,negated_conjecture,
l3_lattices(esk500_0),
i_0_3267 ).
cnf(c_0_3441,negated_conjecture,
~ v3_struct_0(esk500_0),
i_0_3269 ).
cnf(c_0_3442,negated_conjecture,
v10_lattices(esk501_0),
i_0_3265 ).
cnf(c_0_3443,negated_conjecture,
l3_lattices(esk501_0),
i_0_3264 ).
cnf(c_0_3444,negated_conjecture,
~ v3_struct_0(esk501_0),
i_0_3266 ).
cnf(c_0_3445,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_346 ).
cnf(c_0_3446,plain,
( l3_lattices(X1)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X1,X2) ),
i_0_912 ).
cnf(c_0_3447,plain,
( v3_struct_0(X1)
| v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
i_0_913 ).
cnf(c_0_3448,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(X2)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
i_0_914 ).
cnf(c_0_3449,plain,
( v3_struct_0(X1)
| m2_nat_lat(X1,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_3412 ).
cnf(c_0_3450,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_3163 ).
cnf(c_0_3451,negated_conjecture,
m1_filter_0(u1_struct_0(esk500_0),esk500_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3438,c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3452,negated_conjecture,
m1_filter_0(u1_struct_0(esk501_0),esk501_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3438,c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3453,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_3445,c_0_3446]),c_0_3447]),c_0_3448]) ).
cnf(c_0_3454,negated_conjecture,
m2_nat_lat(esk500_0,esk500_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3449,c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3455,negated_conjecture,
k1_realset1(u2_lattices(esk500_0),u1_struct_0(esk500_0)) = u2_lattices(k8_filter_0(esk500_0,u1_struct_0(esk500_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3450,c_0_3451]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3456,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_3164 ).
cnf(c_0_3457,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_980 ).
cnf(c_0_3458,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_884 ).
cnf(c_0_3459,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_345 ).
cnf(c_0_3460,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_3162 ).
cnf(c_0_3461,negated_conjecture,
m2_nat_lat(esk501_0,esk501_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3449,c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3462,negated_conjecture,
k1_realset1(u2_lattices(esk501_0),u1_struct_0(esk501_0)) = u2_lattices(k8_filter_0(esk501_0,u1_struct_0(esk501_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3450,c_0_3452]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3463,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_3464,negated_conjecture,
u2_lattices(k8_filter_0(esk500_0,u1_struct_0(esk500_0))) = u2_lattices(esk500_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_3453,c_0_3454]),c_0_3455]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3465,negated_conjecture,
u1_struct_0(k8_filter_0(esk500_0,u1_struct_0(esk500_0))) = u1_struct_0(esk500_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3456,c_0_3451]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3466,negated_conjecture,
v3_lattices(k8_filter_0(esk500_0,u1_struct_0(esk500_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3457,c_0_3451]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3467,negated_conjecture,
l3_lattices(k8_filter_0(esk500_0,u1_struct_0(esk500_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3458,c_0_3451]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3468,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_3459,c_0_3446]),c_0_3447]),c_0_3448]) ).
cnf(c_0_3469,negated_conjecture,
k1_realset1(u1_lattices(esk500_0),u1_struct_0(esk500_0)) = u1_lattices(k8_filter_0(esk500_0,u1_struct_0(esk500_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3460,c_0_3451]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3470,negated_conjecture,
u2_lattices(k8_filter_0(esk501_0,u1_struct_0(esk501_0))) = u2_lattices(esk501_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_3453,c_0_3461]),c_0_3462]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3471,negated_conjecture,
u1_struct_0(k8_filter_0(esk501_0,u1_struct_0(esk501_0))) = u1_struct_0(esk501_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3456,c_0_3452]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3472,negated_conjecture,
v3_lattices(k8_filter_0(esk501_0,u1_struct_0(esk501_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3457,c_0_3452]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3473,negated_conjecture,
l3_lattices(k8_filter_0(esk501_0,u1_struct_0(esk501_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3458,c_0_3452]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3474,negated_conjecture,
k1_realset1(u1_lattices(esk501_0),u1_struct_0(esk501_0)) = u1_lattices(k8_filter_0(esk501_0,u1_struct_0(esk501_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3460,c_0_3452]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3475,plain,
g3_lattices(u1_struct_0(esk500_0),u2_lattices(esk500_0),u1_lattices(k8_filter_0(esk500_0,u1_struct_0(esk500_0)))) = k8_filter_0(esk500_0,u1_struct_0(esk500_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3463,c_0_3464]),c_0_3465]),c_0_3466]),c_0_3467])]) ).
cnf(c_0_3476,negated_conjecture,
u1_lattices(k8_filter_0(esk500_0,u1_struct_0(esk500_0))) = u1_lattices(esk500_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_3468,c_0_3454]),c_0_3469]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3477,negated_conjecture,
g3_lattices(u1_struct_0(esk501_0),u2_lattices(esk501_0),u1_lattices(esk501_0)) = g3_lattices(u1_struct_0(esk500_0),u2_lattices(esk500_0),u1_lattices(esk500_0)),
i_0_3261 ).
cnf(c_0_3478,negated_conjecture,
m1_filter_2(esk503_0,esk501_0),
i_0_3262 ).
cnf(c_0_3479,negated_conjecture,
esk502_0 = esk503_0,
i_0_3260 ).
cnf(c_0_3480,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_1393 ).
cnf(c_0_3481,negated_conjecture,
m1_filter_2(esk502_0,esk500_0),
i_0_3263 ).
cnf(c_0_3482,plain,
g3_lattices(u1_struct_0(esk501_0),u2_lattices(esk501_0),u1_lattices(k8_filter_0(esk501_0,u1_struct_0(esk501_0)))) = k8_filter_0(esk501_0,u1_struct_0(esk501_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3463,c_0_3470]),c_0_3471]),c_0_3472]),c_0_3473])]) ).
cnf(c_0_3483,negated_conjecture,
u1_lattices(k8_filter_0(esk501_0,u1_struct_0(esk501_0))) = u1_lattices(esk501_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_3468,c_0_3461]),c_0_3474]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3484,plain,
g3_lattices(u1_struct_0(esk501_0),u2_lattices(esk501_0),u1_lattices(esk501_0)) = k8_filter_0(esk500_0,u1_struct_0(esk500_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3475,c_0_3476]),c_0_3477]) ).
cnf(c_0_3485,negated_conjecture,
m1_filter_2(esk502_0,esk501_0),
inference(rw,[status(thm)],[c_0_3478,c_0_3479]) ).
cnf(c_0_3486,negated_conjecture,
m1_filter_0(esk502_0,esk500_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3480,c_0_3481]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3487,plain,
k8_filter_0(esk500_0,u1_struct_0(esk500_0)) = k8_filter_0(esk501_0,u1_struct_0(esk501_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3482,c_0_3483]),c_0_3484]) ).
cnf(c_0_3488,negated_conjecture,
m1_filter_0(esk502_0,esk501_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3480,c_0_3485]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3489,negated_conjecture,
k1_realset1(u2_lattices(esk500_0),esk502_0) = u2_lattices(k8_filter_0(esk500_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3450,c_0_3486]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3490,negated_conjecture,
u2_lattices(esk500_0) = u2_lattices(esk501_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3464,c_0_3487]),c_0_3470]) ).
cnf(c_0_3491,negated_conjecture,
k1_realset1(u2_lattices(esk501_0),esk502_0) = u2_lattices(k8_filter_0(esk501_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3450,c_0_3488]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3492,negated_conjecture,
k1_realset1(u1_lattices(esk500_0),esk502_0) = u1_lattices(k8_filter_0(esk500_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3460,c_0_3486]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3493,negated_conjecture,
u1_lattices(esk500_0) = u1_lattices(esk501_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3476,c_0_3487]),c_0_3483]) ).
cnf(c_0_3494,negated_conjecture,
k1_realset1(u1_lattices(esk501_0),esk502_0) = u1_lattices(k8_filter_0(esk501_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3460,c_0_3488]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3495,negated_conjecture,
u1_struct_0(k8_filter_0(esk501_0,esk502_0)) = esk502_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3456,c_0_3488]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3496,negated_conjecture,
l3_lattices(k8_filter_0(esk501_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3458,c_0_3488]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3497,negated_conjecture,
v3_lattices(k8_filter_0(esk501_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3457,c_0_3488]),c_0_3442]),c_0_3443])]),c_0_3444]) ).
cnf(c_0_3498,negated_conjecture,
k8_filter_0(esk501_0,esk503_0) != k8_filter_0(esk500_0,esk502_0),
i_0_3259 ).
cnf(c_0_3499,negated_conjecture,
u2_lattices(k8_filter_0(esk500_0,esk502_0)) = u2_lattices(k8_filter_0(esk501_0,esk502_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3489,c_0_3490]),c_0_3491]) ).
cnf(c_0_3500,negated_conjecture,
u1_struct_0(k8_filter_0(esk500_0,esk502_0)) = esk502_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3456,c_0_3486]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3501,negated_conjecture,
u1_lattices(k8_filter_0(esk500_0,esk502_0)) = u1_lattices(k8_filter_0(esk501_0,esk502_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3492,c_0_3493]),c_0_3494]) ).
cnf(c_0_3502,plain,
g3_lattices(esk502_0,u2_lattices(k8_filter_0(esk501_0,esk502_0)),u1_lattices(k8_filter_0(esk501_0,esk502_0))) = k8_filter_0(esk501_0,esk502_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3463,c_0_3495]),c_0_3496])]),c_0_3497])]) ).
cnf(c_0_3503,negated_conjecture,
v3_lattices(k8_filter_0(esk500_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3457,c_0_3486]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3504,negated_conjecture,
l3_lattices(k8_filter_0(esk500_0,esk502_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3458,c_0_3486]),c_0_3439]),c_0_3440])]),c_0_3441]) ).
cnf(c_0_3505,negated_conjecture,
k8_filter_0(esk500_0,esk502_0) != k8_filter_0(esk501_0,esk502_0),
inference(rw,[status(thm)],[c_0_3498,c_0_3479]) ).
cnf(c_0_3506,plain,
$false,
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(spm,[status(thm)],[c_0_3463,c_0_3499]),c_0_3500]),c_0_3501]),c_0_3502]),c_0_3503]),c_0_3504])]),c_0_3505]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT331+2 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.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 : Thu Jun 30 05:33:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.39/0.58 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.39/0.58 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.39/0.58 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.98/3.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.98/3.51 # No SInE strategy applied
% 8.98/3.51 # Trying AutoSched0 for 150 seconds
% 8.98/3.51 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.98/3.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.98/3.51 #
% 8.98/3.51 # Preprocessing time : 0.029 s
% 8.98/3.51 # Presaturation interreduction done
% 8.98/3.51
% 8.98/3.51 # Proof found!
% 8.98/3.51 # SZS status Theorem
% 8.98/3.51 # SZS output start CNFRefutation
% See solution above
% 8.98/3.51 # Training examples: 0 positive, 0 negative
% 8.98/3.51
% 8.98/3.51 # -------------------------------------------------
% 8.98/3.51 # User time : 0.083 s
% 8.98/3.51 # System time : 0.018 s
% 8.98/3.51 # Total time : 0.100 s
% 8.98/3.51 # Maximum resident set size: 7128 pages
% 8.98/3.51
%------------------------------------------------------------------------------