TSTP Solution File: LAT305+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT305+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 04:29:15 EDT 2022
% Result : Theorem 18.22s 5.63s
% Output : CNFRefutation 18.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 54 ( 22 unt; 16 nHn; 54 RR)
% Number of literals : 162 ( 0 equ; 98 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 57 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1034,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_1034) ).
cnf(i_0_3455,negated_conjecture,
m1_subset_1(esk566_0,u1_struct_0(esk564_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3455) ).
cnf(i_0_3457,negated_conjecture,
l3_lattices(esk564_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3457) ).
cnf(i_0_3459,negated_conjecture,
~ v3_struct_0(esk564_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3459) ).
cnf(i_0_2665,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_2665) ).
cnf(i_0_3458,negated_conjecture,
v10_lattices(esk564_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3458) ).
cnf(i_0_3456,negated_conjecture,
m1_subset_1(esk565_0,u1_struct_0(esk564_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3456) ).
cnf(i_0_2589,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k2_filter_0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_2589) ).
cnf(i_0_1011,plain,
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_1011) ).
cnf(i_0_3339,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3339) ).
cnf(i_0_1059,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_1059) ).
cnf(i_0_57,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_57) ).
cnf(i_0_3338,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3338) ).
cnf(i_0_3291,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3291) ).
cnf(i_0_3454,negated_conjecture,
( ~ r2_hidden(esk565_0,k18_filter_2(esk564_0,esk565_0))
| ~ r2_hidden(k4_lattices(esk564_0,esk565_0,esk566_0),k18_filter_2(esk564_0,esk565_0))
| ~ r2_hidden(k4_lattices(esk564_0,esk566_0,esk565_0),k18_filter_2(esk564_0,esk565_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hgb873so/lgb.p',i_0_3454) ).
cnf(c_0_3475,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1034 ).
cnf(c_0_3476,negated_conjecture,
m1_subset_1(esk566_0,u1_struct_0(esk564_0)),
i_0_3455 ).
cnf(c_0_3477,negated_conjecture,
l3_lattices(esk564_0),
i_0_3457 ).
cnf(c_0_3478,negated_conjecture,
~ v3_struct_0(esk564_0),
i_0_3459 ).
cnf(c_0_3479,negated_conjecture,
m1_subset_1(k7_lattices(esk564_0,esk566_0),u1_struct_0(esk564_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3475,c_0_3476]),c_0_3477])]),c_0_3478]) ).
cnf(c_0_3480,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2665 ).
cnf(c_0_3481,plain,
m1_subset_1(k7_lattices(esk564_0,k7_lattices(esk564_0,esk566_0)),u1_struct_0(esk564_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3475,c_0_3479]),c_0_3477])]),c_0_3478]) ).
cnf(c_0_3482,negated_conjecture,
v10_lattices(esk564_0),
i_0_3458 ).
cnf(c_0_3483,plain,
( r2_hidden(X1,k2_filter_0(esk564_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk564_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_3482]),c_0_3477])]),c_0_3478]) ).
cnf(c_0_3484,negated_conjecture,
m1_subset_1(esk565_0,u1_struct_0(esk564_0)),
i_0_3456 ).
cnf(c_0_3485,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k2_filter_0(X1,X2)) ),
i_0_2589 ).
cnf(c_0_3486,negated_conjecture,
r2_hidden(esk565_0,k2_filter_0(esk564_0,esk565_0)),
inference(spm,[status(thm)],[c_0_3483,c_0_3484]) ).
cnf(c_0_3487,plain,
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1011 ).
cnf(c_0_3488,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_3339 ).
cnf(c_0_3489,negated_conjecture,
r3_lattices(esk564_0,esk565_0,esk565_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_3485,c_0_3486]),c_0_3482]),c_0_3477]),c_0_3484])]),c_0_3478]) ).
cnf(c_0_3490,negated_conjecture,
( m1_subset_1(k4_lattices(esk564_0,X1,esk566_0),u1_struct_0(esk564_0))
| ~ l1_lattices(esk564_0)
| ~ v6_lattices(esk564_0)
| ~ m1_subset_1(X1,u1_struct_0(esk564_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3487,c_0_3476]),c_0_3478]) ).
cnf(c_0_3491,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_1059 ).
cnf(c_0_3492,negated_conjecture,
( r3_lattices(esk564_0,k4_lattices(esk564_0,esk565_0,X1),esk565_0)
| ~ m1_subset_1(X1,u1_struct_0(esk564_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_3488,c_0_3489]),c_0_3482]),c_0_3477]),c_0_3484])]),c_0_3478]) ).
cnf(c_0_3493,plain,
( m1_subset_1(k4_lattices(esk564_0,X1,esk566_0),u1_struct_0(esk564_0))
| ~ v6_lattices(esk564_0)
| ~ m1_subset_1(X1,u1_struct_0(esk564_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3490,c_0_3491]),c_0_3477])]) ).
cnf(c_0_3494,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_57 ).
cnf(c_0_3495,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_3338 ).
cnf(c_0_3496,negated_conjecture,
( m1_subset_1(k4_lattices(esk564_0,X1,esk565_0),u1_struct_0(esk564_0))
| ~ l1_lattices(esk564_0)
| ~ v6_lattices(esk564_0)
| ~ m1_subset_1(X1,u1_struct_0(esk564_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3487,c_0_3484]),c_0_3478]) ).
cnf(c_0_3497,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_3291 ).
cnf(c_0_3498,negated_conjecture,
r3_lattices(esk564_0,k4_lattices(esk564_0,esk565_0,esk566_0),esk565_0),
inference(spm,[status(thm)],[c_0_3492,c_0_3476]) ).
cnf(c_0_3499,plain,
( m1_subset_1(k4_lattices(esk564_0,X1,esk566_0),u1_struct_0(esk564_0))
| ~ m1_subset_1(X1,u1_struct_0(esk564_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3493,c_0_3494]),c_0_3482]),c_0_3477])]),c_0_3478]) ).
cnf(c_0_3500,negated_conjecture,
( r3_lattices(esk564_0,k4_lattices(esk564_0,X1,esk565_0),esk565_0)
| ~ m1_subset_1(X1,u1_struct_0(esk564_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_3495,c_0_3489]),c_0_3482]),c_0_3477]),c_0_3484])]),c_0_3478]) ).
cnf(c_0_3501,plain,
( m1_subset_1(k4_lattices(esk564_0,X1,esk565_0),u1_struct_0(esk564_0))
| ~ v6_lattices(esk564_0)
| ~ m1_subset_1(X1,u1_struct_0(esk564_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3496,c_0_3491]),c_0_3477])]) ).
cnf(c_0_3502,negated_conjecture,
( ~ r2_hidden(esk565_0,k18_filter_2(esk564_0,esk565_0))
| ~ r2_hidden(k4_lattices(esk564_0,esk565_0,esk566_0),k18_filter_2(esk564_0,esk565_0))
| ~ r2_hidden(k4_lattices(esk564_0,esk566_0,esk565_0),k18_filter_2(esk564_0,esk565_0)) ),
i_0_3454 ).
cnf(c_0_3503,negated_conjecture,
r2_hidden(esk565_0,k18_filter_2(esk564_0,esk565_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_3497,c_0_3489]),c_0_3482]),c_0_3477]),c_0_3484])]),c_0_3478]) ).
cnf(c_0_3504,plain,
( r2_hidden(k4_lattices(esk564_0,esk565_0,esk566_0),k18_filter_2(esk564_0,esk565_0))
| ~ m1_subset_1(k4_lattices(esk564_0,esk565_0,esk566_0),u1_struct_0(esk564_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_3497,c_0_3498]),c_0_3482]),c_0_3477]),c_0_3484])]),c_0_3478]) ).
cnf(c_0_3505,negated_conjecture,
m1_subset_1(k4_lattices(esk564_0,esk565_0,esk566_0),u1_struct_0(esk564_0)),
inference(spm,[status(thm)],[c_0_3499,c_0_3484]) ).
cnf(c_0_3506,negated_conjecture,
r3_lattices(esk564_0,k4_lattices(esk564_0,esk566_0,esk565_0),esk565_0),
inference(spm,[status(thm)],[c_0_3500,c_0_3476]) ).
cnf(c_0_3507,plain,
( m1_subset_1(k4_lattices(esk564_0,X1,esk565_0),u1_struct_0(esk564_0))
| ~ m1_subset_1(X1,u1_struct_0(esk564_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3501,c_0_3494]),c_0_3482]),c_0_3477])]),c_0_3478]) ).
cnf(c_0_3508,negated_conjecture,
( ~ r2_hidden(k4_lattices(esk564_0,esk565_0,esk566_0),k18_filter_2(esk564_0,esk565_0))
| ~ r2_hidden(k4_lattices(esk564_0,esk566_0,esk565_0),k18_filter_2(esk564_0,esk565_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3502,c_0_3503])]) ).
cnf(c_0_3509,plain,
r2_hidden(k4_lattices(esk564_0,esk565_0,esk566_0),k18_filter_2(esk564_0,esk565_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3504,c_0_3505])]) ).
cnf(c_0_3510,plain,
( r2_hidden(k4_lattices(esk564_0,esk566_0,esk565_0),k18_filter_2(esk564_0,esk565_0))
| ~ m1_subset_1(k4_lattices(esk564_0,esk566_0,esk565_0),u1_struct_0(esk564_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_3497,c_0_3506]),c_0_3482]),c_0_3477]),c_0_3484])]),c_0_3478]) ).
cnf(c_0_3511,negated_conjecture,
m1_subset_1(k4_lattices(esk564_0,esk566_0,esk565_0),u1_struct_0(esk564_0)),
inference(spm,[status(thm)],[c_0_3507,c_0_3476]) ).
cnf(c_0_3512,negated_conjecture,
~ r2_hidden(k4_lattices(esk564_0,esk566_0,esk565_0),k18_filter_2(esk564_0,esk565_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3508,c_0_3509])]) ).
cnf(c_0_3513,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3510,c_0_3511])]),c_0_3512]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT305+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 29 11:34:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.68/0.93 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.93 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.68/0.93 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.68/0.93 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 18.22/5.63 # ENIGMATIC: Solved by autoschedule-lgb:
% 18.22/5.63 # No SInE strategy applied
% 18.22/5.63 # Trying AutoSched0 for 149 seconds
% 18.22/5.63 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 18.22/5.63 # and selection function SelectCQIPrecWNTNp.
% 18.22/5.63 #
% 18.22/5.63 # Preprocessing time : 0.035 s
% 18.22/5.63 # Presaturation interreduction done
% 18.22/5.63
% 18.22/5.63 # Proof found!
% 18.22/5.63 # SZS status Theorem
% 18.22/5.63 # SZS output start CNFRefutation
% See solution above
% 18.22/5.63 # Training examples: 0 positive, 0 negative
% 18.22/5.63
% 18.22/5.63 # -------------------------------------------------
% 18.22/5.63 # User time : 0.981 s
% 18.22/5.63 # System time : 0.043 s
% 18.22/5.63 # Total time : 1.025 s
% 18.22/5.63 # Maximum resident set size: 7124 pages
% 18.22/5.63
%------------------------------------------------------------------------------