TSTP Solution File: LAT311+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT311+2 : 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 04:29:22 EDT 2022
% Result : Theorem 192.33s 26.81s
% Output : CNFRefutation 192.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of clauses : 99 ( 38 unt; 30 nHn; 94 RR)
% Number of literals : 262 ( 33 equ; 141 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_576,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_576) ).
cnf(i_0_1073,plain,
v1_xboole_0(esk229_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_1073) ).
cnf(i_0_381,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_381) ).
cnf(i_0_842,plain,
m1_subset_1(esk211_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_842) ).
cnf(i_0_598,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_598) ).
cnf(i_0_2440,negated_conjecture,
m1_subset_1(esk454_0,k1_zfmisc_1(u1_struct_0(esk452_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2440) ).
cnf(i_0_2444,negated_conjecture,
v10_lattices(esk452_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2444) ).
cnf(i_0_2443,negated_conjecture,
l3_lattices(esk452_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2443) ).
cnf(i_0_2445,negated_conjecture,
~ v3_struct_0(esk452_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2445) ).
cnf(i_0_1090,plain,
v1_xboole_0(esk235_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_1090) ).
cnf(i_0_797,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_797) ).
cnf(i_0_799,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_799) ).
cnf(i_0_2880,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2880) ).
cnf(i_0_785,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_785) ).
cnf(i_0_321,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_321) ).
cnf(i_0_2441,negated_conjecture,
~ v1_xboole_0(esk454_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2441) ).
cnf(i_0_469,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_469) ).
cnf(i_0_2442,negated_conjecture,
m1_subset_1(esk453_0,u1_struct_0(esk452_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2442) ).
cnf(i_0_725,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_725) ).
cnf(i_0_769,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_769) ).
cnf(i_0_2158,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2158) ).
cnf(i_0_1145,plain,
( k3_filter_2(X1,X2) = k3_filter_0(X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_1145) ).
cnf(i_0_1141,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_1141) ).
cnf(i_0_957,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_957) ).
cnf(i_0_2439,negated_conjecture,
r2_hidden(esk453_0,esk454_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2439) ).
cnf(i_0_2089,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_tarski(k2_filter_0(X2,X3),k3_filter_0(X2,X1))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2089) ).
cnf(i_0_2668,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2668) ).
cnf(i_0_3234,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_3234) ).
cnf(i_0_2344,plain,
( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2344) ).
cnf(i_0_1082,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk232_1(X1),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_1082) ).
cnf(i_0_1081,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk232_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_1081) ).
cnf(i_0_627,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_627) ).
cnf(i_0_2438,negated_conjecture,
~ r1_tarski(k18_filter_2(esk452_0,esk453_0),k19_filter_2(esk452_0,esk454_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-er6_aulp/lgb.p',i_0_2438) ).
cnf(c_0_3268,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_576 ).
cnf(c_0_3269,plain,
v1_xboole_0(esk229_0),
i_0_1073 ).
cnf(c_0_3270,plain,
k1_xboole_0 = esk229_0,
inference(spm,[status(thm)],[c_0_3268,c_0_3269]) ).
cnf(c_0_3271,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_381 ).
cnf(c_0_3272,plain,
m1_subset_1(esk211_1(X1),X1),
i_0_842 ).
cnf(c_0_3273,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_598 ).
cnf(c_0_3274,negated_conjecture,
m1_subset_1(esk454_0,k1_zfmisc_1(u1_struct_0(esk452_0))),
i_0_2440 ).
cnf(c_0_3275,negated_conjecture,
v10_lattices(esk452_0),
i_0_2444 ).
cnf(c_0_3276,negated_conjecture,
l3_lattices(esk452_0),
i_0_2443 ).
cnf(c_0_3277,negated_conjecture,
~ v3_struct_0(esk452_0),
i_0_2445 ).
cnf(c_0_3278,plain,
( X1 = esk229_0
| ~ v1_xboole_0(X1) ),
inference(rw,[status(thm)],[c_0_3268,c_0_3270]) ).
cnf(c_0_3279,plain,
v1_xboole_0(esk235_0),
i_0_1090 ).
cnf(c_0_3280,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
i_0_797 ).
cnf(c_0_3281,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_799 ).
cnf(c_0_3282,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_2880 ).
cnf(c_0_3283,plain,
( v1_xboole_0(X1)
| r2_hidden(esk211_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_3271,c_0_3272]) ).
cnf(c_0_3284,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_785 ).
cnf(c_0_3285,negated_conjecture,
k7_filter_2(esk452_0,esk454_0) = esk454_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3273,c_0_3274]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3286,plain,
esk229_0 = esk235_0,
inference(spm,[status(thm)],[c_0_3278,c_0_3279]) ).
cnf(c_0_3287,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_321 ).
cnf(c_0_3288,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_3280,c_0_3281]) ).
cnf(c_0_3289,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_3282,c_0_3283]) ).
cnf(c_0_3290,negated_conjecture,
m1_subset_1(esk454_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk452_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_3284,c_0_3274]),c_0_3285]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3291,negated_conjecture,
~ v1_xboole_0(esk454_0),
i_0_2441 ).
cnf(c_0_3292,plain,
( X1 = esk235_0
| ~ v1_xboole_0(X1) ),
inference(rw,[status(thm)],[c_0_3278,c_0_3286]) ).
cnf(c_0_3293,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_3287,c_0_3288]) ).
cnf(c_0_3294,plain,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk452_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3289,c_0_3290]),c_0_3291]) ).
cnf(c_0_3295,plain,
( u1_struct_0(X1) = esk235_0
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_3292,c_0_3293]) ).
cnf(c_0_3296,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_469 ).
cnf(c_0_3297,negated_conjecture,
m1_subset_1(esk453_0,u1_struct_0(esk452_0)),
i_0_2442 ).
cnf(c_0_3298,plain,
( ~ l3_lattices(k1_lattice2(esk452_0))
| ~ v3_struct_0(k1_lattice2(esk452_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3294,c_0_3295]),c_0_3279])]) ).
cnf(c_0_3299,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_725 ).
cnf(c_0_3300,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_769 ).
cnf(c_0_3301,negated_conjecture,
k5_filter_2(esk452_0,esk453_0) = esk453_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3296,c_0_3297]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3302,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2158 ).
cnf(c_0_3303,plain,
( k3_filter_2(X1,X2) = k3_filter_0(X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_1145 ).
cnf(c_0_3304,plain,
~ v3_struct_0(k1_lattice2(esk452_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3298,c_0_3299]),c_0_3276])]) ).
cnf(c_0_3305,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1141 ).
cnf(c_0_3306,negated_conjecture,
m1_subset_1(esk453_0,u1_struct_0(k1_lattice2(esk452_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_3300,c_0_3297]),c_0_3301]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3307,negated_conjecture,
k2_filter_2(k1_lattice2(esk452_0),esk453_0) = k18_filter_2(esk452_0,esk453_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_3302,c_0_3297]),c_0_3301]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3308,negated_conjecture,
( k3_filter_2(k1_lattice2(esk452_0),esk454_0) = k3_filter_0(k1_lattice2(esk452_0),esk454_0)
| ~ v10_lattices(k1_lattice2(esk452_0))
| ~ l3_lattices(k1_lattice2(esk452_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3303,c_0_3290]),c_0_3291]),c_0_3304]) ).
cnf(c_0_3309,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_957 ).
cnf(c_0_3310,negated_conjecture,
r2_hidden(esk453_0,esk454_0),
i_0_2439 ).
cnf(c_0_3311,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r1_tarski(k2_filter_0(X2,X3),k3_filter_0(X2,X1))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_2089 ).
cnf(c_0_3312,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_2668 ).
cnf(c_0_3313,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_3234 ).
cnf(c_0_3314,plain,
( k2_filter_0(k1_lattice2(esk452_0),esk453_0) = k18_filter_2(esk452_0,esk453_0)
| ~ v10_lattices(k1_lattice2(esk452_0))
| ~ l3_lattices(k1_lattice2(esk452_0)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3305,c_0_3306]),c_0_3307]),c_0_3304]) ).
cnf(c_0_3315,plain,
( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
i_0_2344 ).
cnf(c_0_3316,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk232_1(X1),k1_zfmisc_1(X1)) ),
i_0_1082 ).
cnf(c_0_3317,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk232_1(X1)) ),
i_0_1081 ).
cnf(c_0_3318,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
i_0_627 ).
cnf(c_0_3319,plain,
( k3_filter_2(k1_lattice2(esk452_0),esk454_0) = k3_filter_0(k1_lattice2(esk452_0),esk454_0)
| ~ l3_lattices(k1_lattice2(esk452_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3308,c_0_3309]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3320,negated_conjecture,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(esk454_0,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_3282,c_0_3310]) ).
cnf(c_0_3321,plain,
( v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3311,c_0_3312]),c_0_3313]) ).
cnf(c_0_3322,plain,
( k2_filter_0(k1_lattice2(esk452_0),esk453_0) = k18_filter_2(esk452_0,esk453_0)
| ~ l3_lattices(k1_lattice2(esk452_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3314,c_0_3309]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3323,plain,
( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
| v1_xboole_0(u1_struct_0(X1))
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3315,c_0_3316]),c_0_3293]),c_0_3317]) ).
cnf(c_0_3324,plain,
k8_filter_2(esk452_0,esk454_0) = esk454_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3318,c_0_3290]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3325,plain,
k3_filter_2(k1_lattice2(esk452_0),esk454_0) = k3_filter_0(k1_lattice2(esk452_0),esk454_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3319,c_0_3299]),c_0_3276])]) ).
cnf(c_0_3326,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk452_0)),
inference(spm,[status(thm)],[c_0_3320,c_0_3274]) ).
cnf(c_0_3327,negated_conjecture,
( v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,esk453_0),k3_filter_0(X1,esk454_0))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(esk454_0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_3321,c_0_3310]) ).
cnf(c_0_3328,plain,
k2_filter_0(k1_lattice2(esk452_0),esk453_0) = k18_filter_2(esk452_0,esk453_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3322,c_0_3299]),c_0_3276])]) ).
cnf(c_0_3329,negated_conjecture,
k3_filter_0(k1_lattice2(esk452_0),esk454_0) = k19_filter_2(esk452_0,esk454_0),
inference(sr,[status(thm)],[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_3323,c_0_3290]),c_0_3324]),c_0_3325]),c_0_3275]),c_0_3276])]),c_0_3326]),c_0_3291]) ).
cnf(c_0_3330,negated_conjecture,
~ r1_tarski(k18_filter_2(esk452_0,esk453_0),k19_filter_2(esk452_0,esk454_0)),
i_0_2438 ).
cnf(c_0_3331,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk452_0))
| ~ l3_lattices(k1_lattice2(esk452_0)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3327,c_0_3290]),c_0_3328]),c_0_3304]),c_0_3329]),c_0_3330]) ).
cnf(c_0_3332,plain,
~ l3_lattices(k1_lattice2(esk452_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3331,c_0_3309]),c_0_3275]),c_0_3276])]),c_0_3277]) ).
cnf(c_0_3333,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3332,c_0_3299]),c_0_3276])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT311+2 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 14:23:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.40/0.58 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.58 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.40/0.58 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.40/0.58 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 192.33/26.81 # ENIGMATIC: Solved by autoschedule-lgb:
% 192.33/26.81 # No SInE strategy applied
% 192.33/26.81 # Trying AutoSched0 for 150 seconds
% 192.33/26.81 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 192.33/26.81 # and selection function SelectCQIPrecWNTNp.
% 192.33/26.81 #
% 192.33/26.81 # Preprocessing time : 0.026 s
% 192.33/26.81 # Presaturation interreduction done
% 192.33/26.81
% 192.33/26.81 # Proof found!
% 192.33/26.81 # SZS status Theorem
% 192.33/26.81 # SZS output start CNFRefutation
% See solution above
% 192.33/26.81 # Training examples: 0 positive, 0 negative
% 192.33/26.81
% 192.33/26.81 # -------------------------------------------------
% 192.33/26.81 # User time : 22.344 s
% 192.33/26.81 # System time : 0.556 s
% 192.33/26.81 # Total time : 22.900 s
% 192.33/26.81 # Maximum resident set size: 7124 pages
% 192.33/26.81
%------------------------------------------------------------------------------