TSTP Solution File: LAT313+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT313+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 04:29:25 EDT 2022
% Result : Theorem 10.72s 3.43s
% Output : CNFRefutation 10.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of clauses : 64 ( 26 unt; 18 nHn; 62 RR)
% Number of literals : 173 ( 17 equ; 96 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_931,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_931) ).
cnf(i_0_933,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_933) ).
cnf(i_0_396,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_396) ).
cnf(i_0_2052,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-g_fun7l5/lgb.p',i_0_2052) ).
cnf(i_0_2734,negated_conjecture,
l3_lattices(esk461_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2734) ).
cnf(i_0_2736,negated_conjecture,
~ v3_struct_0(esk461_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2736) ).
cnf(i_0_945,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_945) ).
cnf(i_0_2733,negated_conjecture,
m2_filter_2(esk462_0,esk461_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2733) ).
cnf(i_0_2735,negated_conjecture,
v10_lattices(esk461_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2735) ).
cnf(i_0_840,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_840) ).
cnf(i_0_2716,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2716) ).
cnf(i_0_3387,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_3387) ).
cnf(i_0_947,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_947) ).
cnf(i_0_998,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_998) ).
cnf(i_0_2614,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2614) ).
cnf(i_0_2732,negated_conjecture,
v14_lattices(esk461_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2732) ).
cnf(i_0_2731,negated_conjecture,
r2_hidden(k6_lattices(esk461_0),esk462_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2731) ).
cnf(i_0_757,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-g_fun7l5/lgb.p',i_0_757) ).
cnf(i_0_1407,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_1407) ).
cnf(i_0_2717,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_filter_2(u1_struct_0(X2),k19_filter_2(X2,X1),k17_filter_2(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ r2_hidden(k6_lattices(X2),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2717) ).
cnf(i_0_2730,negated_conjecture,
( u1_struct_0(esk461_0) != esk462_0
| ~ r1_filter_2(u1_struct_0(esk461_0),esk462_0,k17_filter_2(esk461_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_2730) ).
cnf(i_0_868,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_fun7l5/lgb.p',i_0_868) ).
cnf(c_0_3410,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
i_0_931 ).
cnf(c_0_3411,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_933 ).
cnf(c_0_3412,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_396 ).
cnf(c_0_3413,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_3410,c_0_3411]) ).
cnf(c_0_3414,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_2052 ).
cnf(c_0_3415,negated_conjecture,
l3_lattices(esk461_0),
i_0_2734 ).
cnf(c_0_3416,negated_conjecture,
~ v3_struct_0(esk461_0),
i_0_2736 ).
cnf(c_0_3417,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_3412,c_0_3413]) ).
cnf(c_0_3418,negated_conjecture,
u1_struct_0(k1_lattice2(esk461_0)) = u1_struct_0(esk461_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3414,c_0_3415]),c_0_3416]) ).
cnf(c_0_3419,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_945 ).
cnf(c_0_3420,negated_conjecture,
m2_filter_2(esk462_0,esk461_0),
i_0_2733 ).
cnf(c_0_3421,negated_conjecture,
v10_lattices(esk461_0),
i_0_2735 ).
cnf(c_0_3422,plain,
( v3_struct_0(k1_lattice2(esk461_0))
| ~ l3_lattices(k1_lattice2(esk461_0))
| ~ v1_xboole_0(u1_struct_0(esk461_0)) ),
inference(spm,[status(thm)],[c_0_3417,c_0_3418]) ).
cnf(c_0_3423,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_840 ).
cnf(c_0_3424,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_2716 ).
cnf(c_0_3425,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_3387 ).
cnf(c_0_3426,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_947 ).
cnf(c_0_3427,negated_conjecture,
m2_lattice4(esk462_0,esk461_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3419,c_0_3420]),c_0_3421]),c_0_3415])]),c_0_3416]) ).
cnf(c_0_3428,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_998 ).
cnf(c_0_3429,plain,
( v3_struct_0(k1_lattice2(esk461_0))
| ~ v1_xboole_0(u1_struct_0(esk461_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3422,c_0_3423]),c_0_3415])]) ).
cnf(c_0_3430,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_2614 ).
cnf(c_0_3431,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_3424,c_0_3425]) ).
cnf(c_0_3432,negated_conjecture,
m1_subset_1(esk462_0,k1_zfmisc_1(u1_struct_0(esk461_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3426,c_0_3427]),c_0_3421]),c_0_3415])]),c_0_3416]) ).
cnf(c_0_3433,negated_conjecture,
v14_lattices(esk461_0),
i_0_2732 ).
cnf(c_0_3434,negated_conjecture,
r2_hidden(k6_lattices(esk461_0),esk462_0),
i_0_2731 ).
cnf(c_0_3435,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_757 ).
cnf(c_0_3436,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
i_0_1407 ).
cnf(c_0_3437,plain,
~ v1_xboole_0(u1_struct_0(esk461_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3428,c_0_3429]),c_0_3415])]),c_0_3416]) ).
cnf(c_0_3438,negated_conjecture,
r1_filter_2(u1_struct_0(esk461_0),k19_filter_2(esk461_0,esk462_0),esk462_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3430,c_0_3420]),c_0_3421]),c_0_3415])]),c_0_3416]) ).
cnf(c_0_3439,negated_conjecture,
k19_filter_2(esk461_0,esk462_0) = u1_struct_0(esk461_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(spm,[status(thm)],[c_0_3431,c_0_3432]),c_0_3433]),c_0_3421]),c_0_3415]),c_0_3434])]),c_0_3416]) ).
cnf(c_0_3440,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_filter_2(u1_struct_0(X2),k19_filter_2(X2,X1),k17_filter_2(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ r2_hidden(k6_lattices(X2),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_2717 ).
cnf(c_0_3441,negated_conjecture,
( u1_struct_0(esk461_0) != esk462_0
| ~ r1_filter_2(u1_struct_0(esk461_0),esk462_0,k17_filter_2(esk461_0)) ),
i_0_2730 ).
cnf(c_0_3442,negated_conjecture,
k17_filter_2(esk461_0) = u1_struct_0(esk461_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3435,c_0_3421]),c_0_3415])]),c_0_3416]) ).
cnf(c_0_3443,negated_conjecture,
( X1 = esk462_0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk461_0)))
| ~ r1_filter_2(u1_struct_0(esk461_0),X1,esk462_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3436,c_0_3432]),c_0_3437]) ).
cnf(c_0_3444,negated_conjecture,
r1_filter_2(u1_struct_0(esk461_0),u1_struct_0(esk461_0),esk462_0),
inference(rw,[status(thm)],[c_0_3438,c_0_3439]) ).
cnf(c_0_3445,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
i_0_868 ).
cnf(c_0_3446,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
| ~ v14_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_3440,c_0_3425]) ).
cnf(c_0_3447,negated_conjecture,
( u1_struct_0(esk461_0) != esk462_0
| ~ r1_filter_2(u1_struct_0(esk461_0),esk462_0,u1_struct_0(esk461_0)) ),
inference(rw,[status(thm)],[c_0_3441,c_0_3442]) ).
cnf(c_0_3448,negated_conjecture,
u1_struct_0(esk461_0) = esk462_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3443,c_0_3444]),c_0_3445])]) ).
cnf(c_0_3449,negated_conjecture,
r1_filter_2(u1_struct_0(esk461_0),u1_struct_0(esk461_0),u1_struct_0(esk461_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_3446,c_0_3432]),c_0_3439]),c_0_3442]),c_0_3433]),c_0_3421]),c_0_3415]),c_0_3434])]),c_0_3416]) ).
cnf(c_0_3450,negated_conjecture,
~ r1_filter_2(esk462_0,esk462_0,esk462_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3447,c_0_3448]),c_0_3448]),c_0_3448])]) ).
cnf(c_0_3451,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3449,c_0_3448]),c_0_3448]),c_0_3448]),c_0_3450]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT313+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 29 08:46:55 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.18/0.54 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.72/3.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.72/3.43 # No SInE strategy applied
% 10.72/3.43 # Trying AutoSched0 for 150 seconds
% 10.72/3.43 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.72/3.43 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.72/3.43 #
% 10.72/3.43 # Preprocessing time : 0.030 s
% 10.72/3.43 # Presaturation interreduction done
% 10.72/3.43
% 10.72/3.43 # Proof found!
% 10.72/3.43 # SZS status Theorem
% 10.72/3.43 # SZS output start CNFRefutation
% See solution above
% 10.72/3.43 # Training examples: 0 positive, 0 negative
% 10.72/3.43
% 10.72/3.43 # -------------------------------------------------
% 10.72/3.43 # User time : 0.101 s
% 10.72/3.43 # System time : 0.011 s
% 10.72/3.43 # Total time : 0.112 s
% 10.72/3.43 # Maximum resident set size: 7128 pages
% 10.72/3.43
%------------------------------------------------------------------------------