TSTP Solution File: LAT351+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT351+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 04:30:09 EDT 2022
% Result : Theorem 206.12s 29.22s
% Output : CNFRefutation 206.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 28
% Syntax : Number of clauses : 66 ( 48 unt; 6 nHn; 46 RR)
% Number of literals : 185 ( 8 equ; 121 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 50 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3369,plain,
( r5_waybel_1(X1,X2)
| k1_card_1(X3) != k1_card_1(X4)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_waybel_3(X2)
| ~ v3_waybel_3(X1)
| ~ r1_waybel22(X2,X4)
| ~ r1_waybel22(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3369) ).
cnf(i_0_3447,negated_conjecture,
r1_waybel22(esk408_0,esk409_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3447) ).
cnf(i_0_3449,negated_conjecture,
v3_waybel_3(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3449) ).
cnf(i_0_3451,negated_conjecture,
v2_lattice3(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3451) ).
cnf(i_0_3452,negated_conjecture,
v1_lattice3(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3452) ).
cnf(i_0_3453,negated_conjecture,
v4_orders_2(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3453) ).
cnf(i_0_3454,negated_conjecture,
v3_orders_2(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3454) ).
cnf(i_0_3450,negated_conjecture,
v3_lattice3(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3450) ).
cnf(i_0_3455,negated_conjecture,
v2_orders_2(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3455) ).
cnf(i_0_3448,negated_conjecture,
l1_orders_2(esk408_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3448) ).
cnf(i_0_1602,plain,
( v3_struct_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1602) ).
cnf(i_0_1469,plain,
v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1469) ).
cnf(i_0_1472,plain,
v2_lattice3(k2_yellow_1(k1_zfmisc_1(X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1472) ).
cnf(i_0_1967,plain,
v4_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1967) ).
cnf(i_0_1968,plain,
v3_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1968) ).
cnf(i_0_1969,plain,
v2_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1969) ).
cnf(i_0_1243,plain,
l1_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1243) ).
cnf(i_0_1478,plain,
~ v3_struct_0(k2_yellow_1(k1_zfmisc_1(X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1478) ).
cnf(i_0_1763,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1763) ).
cnf(i_0_1605,plain,
( v3_struct_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1605) ).
cnf(i_0_1762,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_1762) ).
cnf(i_0_3298,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),k1_waybel22(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3298) ).
cnf(i_0_2756,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_2756) ).
cnf(i_0_3446,negated_conjecture,
k1_card_1(esk407_0) = k1_card_1(esk409_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3446) ).
cnf(i_0_151,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v2_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_151) ).
cnf(i_0_75,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_75) ).
cnf(i_0_5890,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r5_waybel_1(X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ r5_waybel_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_5890) ).
cnf(i_0_3445,negated_conjecture,
~ r5_waybel_1(esk408_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk407_0))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6d2x6ed_/input.p',i_0_3445) ).
cnf(c_0_5919,plain,
( r5_waybel_1(X1,X2)
| k1_card_1(X3) != k1_card_1(X4)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_waybel_3(X2)
| ~ v3_waybel_3(X1)
| ~ r1_waybel22(X2,X4)
| ~ r1_waybel22(X1,X3) ),
i_0_3369 ).
cnf(c_0_5920,negated_conjecture,
r1_waybel22(esk408_0,esk409_0),
i_0_3447 ).
cnf(c_0_5921,negated_conjecture,
v3_waybel_3(esk408_0),
i_0_3449 ).
cnf(c_0_5922,negated_conjecture,
v2_lattice3(esk408_0),
i_0_3451 ).
cnf(c_0_5923,negated_conjecture,
v1_lattice3(esk408_0),
i_0_3452 ).
cnf(c_0_5924,negated_conjecture,
v4_orders_2(esk408_0),
i_0_3453 ).
cnf(c_0_5925,negated_conjecture,
v3_orders_2(esk408_0),
i_0_3454 ).
cnf(c_0_5926,negated_conjecture,
v3_lattice3(esk408_0),
i_0_3450 ).
cnf(c_0_5927,negated_conjecture,
v2_orders_2(esk408_0),
i_0_3455 ).
cnf(c_0_5928,negated_conjecture,
l1_orders_2(esk408_0),
i_0_3448 ).
cnf(c_0_5929,plain,
( v3_struct_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
i_0_1602 ).
cnf(c_0_5930,plain,
v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X1))),
i_0_1469 ).
cnf(c_0_5931,plain,
v2_lattice3(k2_yellow_1(k1_zfmisc_1(X1))),
i_0_1472 ).
cnf(c_0_5932,plain,
v4_orders_2(k2_yellow_1(X1)),
i_0_1967 ).
cnf(c_0_5933,plain,
v3_orders_2(k2_yellow_1(X1)),
i_0_1968 ).
cnf(c_0_5934,plain,
v2_orders_2(k2_yellow_1(X1)),
i_0_1969 ).
cnf(c_0_5935,plain,
l1_orders_2(k2_yellow_1(X1)),
i_0_1243 ).
cnf(c_0_5936,plain,
~ v3_struct_0(k2_yellow_1(k1_zfmisc_1(X1))),
i_0_1478 ).
cnf(c_0_5937,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
i_0_1763 ).
cnf(c_0_5938,plain,
( v3_struct_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
i_0_1605 ).
cnf(c_0_5939,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1) ),
i_0_1762 ).
cnf(c_0_5940,negated_conjecture,
( r5_waybel_1(X1,esk408_0)
| k1_card_1(X2) != k1_card_1(esk409_0)
| ~ r1_waybel22(X1,X2)
| ~ v3_waybel_3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5919,c_0_5920]),c_0_5921]),c_0_5922]),c_0_5923]),c_0_5924]),c_0_5925]),c_0_5926]),c_0_5927]),c_0_5928])]) ).
cnf(c_0_5941,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),k1_waybel22(X1)),
i_0_3298 ).
cnf(c_0_5942,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
i_0_2756 ).
cnf(c_0_5943,plain,
v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1))))),
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_5929,c_0_5930]),c_0_5931]),c_0_5932]),c_0_5933]),c_0_5934]),c_0_5935])]),c_0_5936]) ).
cnf(c_0_5944,plain,
v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1))))),
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_5937,c_0_5930]),c_0_5931]),c_0_5932]),c_0_5933]),c_0_5934]),c_0_5935])]) ).
cnf(c_0_5945,plain,
v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1))))),
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_5938,c_0_5930]),c_0_5931]),c_0_5932]),c_0_5933]),c_0_5934]),c_0_5935])]),c_0_5936]) ).
cnf(c_0_5946,plain,
v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1))))),
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_5939,c_0_5930]),c_0_5931]),c_0_5932]),c_0_5933]),c_0_5934]),c_0_5935])]) ).
cnf(c_0_5947,negated_conjecture,
( r5_waybel_1(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),esk408_0)
| k1_card_1(X1) != k1_card_1(esk409_0) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5940,c_0_5941]),c_0_5942]),c_0_5943]),c_0_5944]),c_0_5945]),c_0_5932]),c_0_5933]),c_0_5946]),c_0_5934]),c_0_5935])]) ).
cnf(c_0_5948,negated_conjecture,
k1_card_1(esk407_0) = k1_card_1(esk409_0),
i_0_3446 ).
cnf(c_0_5949,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v2_lattice3(X1) ),
i_0_151 ).
cnf(c_0_5950,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
i_0_75 ).
cnf(c_0_5951,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r5_waybel_1(X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ r5_waybel_1(X2,X1) ),
i_0_5890 ).
cnf(c_0_5952,negated_conjecture,
r5_waybel_1(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk407_0)))),esk408_0),
inference(spm,[status(thm)],[c_0_5947,c_0_5948]) ).
cnf(c_0_5953,negated_conjecture,
~ r5_waybel_1(esk408_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk407_0))))),
i_0_3445 ).
cnf(c_0_5954,plain,
~ v3_struct_0(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5949,c_0_5944]),c_0_5935])]) ).
cnf(c_0_5955,negated_conjecture,
~ v3_struct_0(esk408_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5950,c_0_5923]),c_0_5928])]) ).
cnf(c_0_5956,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_5951,c_0_5952]),c_0_5935]),c_0_5928])]),c_0_5953]),c_0_5954]),c_0_5955]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT351+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n016.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 : Tue Jun 28 21:09:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.56/0.75 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.56/0.75 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.56/0.75 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 206.12/29.22 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 206.12/29.22 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 42; version: 991; iters: 150)
% 206.12/29.22 # Preprocessing time : 3.868 s
% 206.12/29.22 # Presaturation interreduction done
% 206.12/29.22
% 206.12/29.22 # Proof found!
% 206.12/29.22 # SZS status Theorem
% 206.12/29.22 # SZS output start CNFRefutation
% See solution above
% 206.12/29.22 # Training examples: 0 positive, 0 negative
% 206.12/29.22
% 206.12/29.22 # -------------------------------------------------
% 206.12/29.22 # User time : 24.136 s
% 206.12/29.22 # System time : 0.259 s
% 206.12/29.22 # Total time : 24.396 s
% 206.12/29.22 # ...preprocessing : 3.868 s
% 206.12/29.22 # ...main loop : 20.527 s
% 206.12/29.22 # Maximum resident set size: 186800 pages
% 206.12/29.22
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