TSTP Solution File: LAT351+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT351+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 04:30:10 EDT 2022
% Result : Theorem 92.71s 15.53s
% Output : CNFRefutation 92.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of clauses : 57 ( 42 unt; 4 nHn; 41 RR)
% Number of literals : 172 ( 8 equ; 119 neg)
% Maximal clause size : 20 ( 3 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 : 38 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3878,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/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3878) ).
cnf(i_0_3813,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),k1_waybel22(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3813) ).
cnf(i_0_3345,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3345) ).
cnf(i_0_2131,plain,
v4_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_2131) ).
cnf(i_0_2132,plain,
v3_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_2132) ).
cnf(i_0_2133,plain,
v2_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_2133) ).
cnf(i_0_1304,plain,
l1_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1304) ).
cnf(i_0_3958,negated_conjecture,
r1_waybel22(esk415_0,esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3958) ).
cnf(i_0_3960,negated_conjecture,
v3_waybel_3(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3960) ).
cnf(i_0_3962,negated_conjecture,
v2_lattice3(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3962) ).
cnf(i_0_3963,negated_conjecture,
v1_lattice3(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3963) ).
cnf(i_0_3964,negated_conjecture,
v4_orders_2(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3964) ).
cnf(i_0_3965,negated_conjecture,
v3_orders_2(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3965) ).
cnf(i_0_3961,negated_conjecture,
v3_lattice3(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3961) ).
cnf(i_0_3966,negated_conjecture,
v2_orders_2(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3966) ).
cnf(i_0_3959,negated_conjecture,
l1_orders_2(esk415_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3959) ).
cnf(i_0_3957,negated_conjecture,
k1_card_1(esk414_0) = k1_card_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3957) ).
cnf(i_0_3956,negated_conjecture,
~ r5_waybel_1(esk415_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_3956) ).
cnf(i_0_1767,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/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1767) ).
cnf(i_0_1628,plain,
v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1628) ).
cnf(i_0_1631,plain,
v2_lattice3(k2_yellow_1(k1_zfmisc_1(X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1631) ).
cnf(i_0_1637,plain,
~ v3_struct_0(k2_yellow_1(k1_zfmisc_1(X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1637) ).
cnf(i_0_1928,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/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1928) ).
cnf(i_0_1929,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/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1929) ).
cnf(i_0_1770,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/sandbox2/tmp/enigma-theBenchmark.p-p54zyl3i/input.p',i_0_1770) ).
cnf(c_0_3992,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_3878 ).
cnf(c_0_3993,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),k1_waybel22(X1)),
i_0_3813 ).
cnf(c_0_3994,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
i_0_3345 ).
cnf(c_0_3995,plain,
v4_orders_2(k2_yellow_1(X1)),
i_0_2131 ).
cnf(c_0_3996,plain,
v3_orders_2(k2_yellow_1(X1)),
i_0_2132 ).
cnf(c_0_3997,plain,
v2_orders_2(k2_yellow_1(X1)),
i_0_2133 ).
cnf(c_0_3998,plain,
l1_orders_2(k2_yellow_1(X1)),
i_0_1304 ).
cnf(c_0_3999,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
| ~ v3_waybel_3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
| ~ 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(spm,[status(thm)],[c_0_3992,c_0_3993]),c_0_3994]),c_0_3995]),c_0_3996]),c_0_3997]),c_0_3998])]) ).
cnf(c_0_4000,negated_conjecture,
r1_waybel22(esk415_0,esk416_0),
i_0_3958 ).
cnf(c_0_4001,negated_conjecture,
v3_waybel_3(esk415_0),
i_0_3960 ).
cnf(c_0_4002,negated_conjecture,
v2_lattice3(esk415_0),
i_0_3962 ).
cnf(c_0_4003,negated_conjecture,
v1_lattice3(esk415_0),
i_0_3963 ).
cnf(c_0_4004,negated_conjecture,
v4_orders_2(esk415_0),
i_0_3964 ).
cnf(c_0_4005,negated_conjecture,
v3_orders_2(esk415_0),
i_0_3965 ).
cnf(c_0_4006,negated_conjecture,
v3_lattice3(esk415_0),
i_0_3961 ).
cnf(c_0_4007,negated_conjecture,
v2_orders_2(esk415_0),
i_0_3966 ).
cnf(c_0_4008,negated_conjecture,
l1_orders_2(esk415_0),
i_0_3959 ).
cnf(c_0_4009,negated_conjecture,
( r5_waybel_1(esk415_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
| k1_card_1(esk416_0) != k1_card_1(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
| ~ 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3999,c_0_4000]),c_0_4001]),c_0_4002]),c_0_4003]),c_0_4004]),c_0_4005]),c_0_4006]),c_0_4007]),c_0_4008])]) ).
cnf(c_0_4010,negated_conjecture,
k1_card_1(esk414_0) = k1_card_1(esk416_0),
i_0_3957 ).
cnf(c_0_4011,negated_conjecture,
~ r5_waybel_1(esk415_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0))))),
i_0_3956 ).
cnf(c_0_4012,negated_conjecture,
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0)))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0)))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4009,c_0_4010]),c_0_4011]) ).
cnf(c_0_4013,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_1767 ).
cnf(c_0_4014,plain,
v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X1))),
i_0_1628 ).
cnf(c_0_4015,plain,
v2_lattice3(k2_yellow_1(k1_zfmisc_1(X1))),
i_0_1631 ).
cnf(c_0_4016,plain,
~ v3_struct_0(k2_yellow_1(k1_zfmisc_1(X1))),
i_0_1637 ).
cnf(c_0_4017,plain,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0)))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0))))) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4012,c_0_4013]),c_0_4014]),c_0_4015]),c_0_3995]),c_0_3996]),c_0_3997]),c_0_3998])]),c_0_4016]) ).
cnf(c_0_4018,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_1928 ).
cnf(c_0_4019,plain,
( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_0)))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_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(spm,[status(thm)],[c_0_4017,c_0_4018]),c_0_4014]),c_0_4015]),c_0_3995]),c_0_3996]),c_0_3997]),c_0_3998])]) ).
cnf(c_0_4020,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_1929 ).
cnf(c_0_4021,plain,
~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk414_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(spm,[status(thm)],[c_0_4019,c_0_4020]),c_0_4014]),c_0_4015]),c_0_3995]),c_0_3996]),c_0_3997]),c_0_3998])]) ).
cnf(c_0_4022,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_1770 ).
cnf(c_0_4023,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4021,c_0_4022]),c_0_4014]),c_0_4015]),c_0_3995]),c_0_3996]),c_0_3997]),c_0_3998])]),c_0_4016]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT351+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 02:31:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.83/1.06 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.06 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.83/1.06 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.83/1.06 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 92.71/15.53 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 92.71/15.53 # ENIGMA: LightGBM model '/export/starexec/sandbox2/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)
% 92.71/15.53 # Preprocessing time : 4.746 s
% 92.71/15.53 # Presaturation interreduction done
% 92.71/15.53
% 92.71/15.53 # Proof found!
% 92.71/15.53 # SZS status Theorem
% 92.71/15.53 # SZS output start CNFRefutation
% See solution above
% 92.71/15.53 # Training examples: 0 positive, 0 negative
% 92.71/15.53
% 92.71/15.53 # -------------------------------------------------
% 92.71/15.53 # User time : 9.850 s
% 92.71/15.53 # System time : 0.167 s
% 92.71/15.53 # Total time : 10.017 s
% 92.71/15.53 # ...preprocessing : 4.746 s
% 92.71/15.53 # ...main loop : 5.272 s
% 92.71/15.53 # Maximum resident set size: 190484 pages
% 92.71/15.53
%------------------------------------------------------------------------------