TSTP Solution File: LAT323+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT323+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 04:29:37 EDT 2022
% Result : Theorem 10.48s 3.75s
% Output : CNFRefutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 58 ( 23 unt; 22 nHn; 58 RR)
% Number of literals : 193 ( 13 equ; 113 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2953,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ r2_filter_2(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2953) ).
cnf(i_0_2989,negated_conjecture,
r2_filter_2(esk506_0,esk507_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2989) ).
cnf(i_0_2992,negated_conjecture,
v17_lattices(esk506_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2992) ).
cnf(i_0_2993,negated_conjecture,
v10_lattices(esk506_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2993) ).
cnf(i_0_2991,negated_conjecture,
l3_lattices(esk506_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2991) ).
cnf(i_0_2990,negated_conjecture,
m2_filter_2(esk507_0,esk506_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2990) ).
cnf(i_0_2994,negated_conjecture,
~ v3_struct_0(esk506_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2994) ).
cnf(i_0_831,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/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_831) ).
cnf(i_0_2988,negated_conjecture,
m1_subset_1(esk508_0,u1_struct_0(esk506_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2988) ).
cnf(i_0_2739,plain,
( k7_lattices(X1,k7_lattices(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2739) ).
cnf(i_0_112,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_112) ).
cnf(i_0_2778,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2778) ).
cnf(i_0_858,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-9j_to2u1/lgb.p',i_0_858) ).
cnf(i_0_856,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-9j_to2u1/lgb.p',i_0_856) ).
cnf(i_0_2987,negated_conjecture,
( r2_hidden(k7_lattices(esk506_0,esk508_0),esk507_0)
| ~ r2_hidden(esk508_0,esk507_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2987) ).
cnf(i_0_2986,negated_conjecture,
( r2_hidden(esk508_0,esk507_0)
| ~ r2_hidden(k7_lattices(esk506_0,esk508_0),esk507_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2986) ).
cnf(i_0_2578,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ r2_hidden(k6_lattices(X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2578) ).
cnf(i_0_2706,plain,
( k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2706) ).
cnf(i_0_57,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_57) ).
cnf(i_0_106,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_106) ).
cnf(i_0_2170,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9j_to2u1/lgb.p',i_0_2170) ).
cnf(c_0_3016,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ r2_filter_2(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2953 ).
cnf(c_0_3017,negated_conjecture,
r2_filter_2(esk506_0,esk507_0),
i_0_2989 ).
cnf(c_0_3018,negated_conjecture,
v17_lattices(esk506_0),
i_0_2992 ).
cnf(c_0_3019,negated_conjecture,
v10_lattices(esk506_0),
i_0_2993 ).
cnf(c_0_3020,negated_conjecture,
l3_lattices(esk506_0),
i_0_2991 ).
cnf(c_0_3021,negated_conjecture,
m2_filter_2(esk507_0,esk506_0),
i_0_2990 ).
cnf(c_0_3022,negated_conjecture,
~ v3_struct_0(esk506_0),
i_0_2994 ).
cnf(c_0_3023,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_831 ).
cnf(c_0_3024,negated_conjecture,
m1_subset_1(esk508_0,u1_struct_0(esk506_0)),
i_0_2988 ).
cnf(c_0_3025,plain,
( k7_lattices(X1,k7_lattices(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2739 ).
cnf(c_0_3026,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_112 ).
cnf(c_0_3027,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_2778 ).
cnf(c_0_3028,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_858 ).
cnf(c_0_3029,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_856 ).
cnf(c_0_3030,negated_conjecture,
( r2_hidden(k7_lattices(esk506_0,X1),esk507_0)
| r2_hidden(X1,esk507_0)
| ~ m1_subset_1(X1,u1_struct_0(esk506_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_3016,c_0_3017]),c_0_3018]),c_0_3019]),c_0_3020]),c_0_3021])]),c_0_3022]) ).
cnf(c_0_3031,negated_conjecture,
m1_subset_1(k7_lattices(esk506_0,esk508_0),u1_struct_0(esk506_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3023,c_0_3024]),c_0_3020])]),c_0_3022]) ).
cnf(c_0_3032,negated_conjecture,
k7_lattices(esk506_0,k7_lattices(esk506_0,esk508_0)) = esk508_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_3025,c_0_3024]),c_0_3018]),c_0_3019]),c_0_3020])]),c_0_3022]) ).
cnf(c_0_3033,negated_conjecture,
( r2_hidden(k7_lattices(esk506_0,esk508_0),esk507_0)
| ~ r2_hidden(esk508_0,esk507_0) ),
i_0_2987 ).
cnf(c_0_3034,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ m2_lattice4(X4,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3026,c_0_3027]),c_0_3027]),c_0_3028]) ).
cnf(c_0_3035,negated_conjecture,
m2_lattice4(esk507_0,esk506_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3029,c_0_3021]),c_0_3019]),c_0_3020])]),c_0_3022]) ).
cnf(c_0_3036,negated_conjecture,
( r2_hidden(esk508_0,esk507_0)
| ~ r2_hidden(k7_lattices(esk506_0,esk508_0),esk507_0) ),
i_0_2986 ).
cnf(c_0_3037,negated_conjecture,
r2_hidden(k7_lattices(esk506_0,esk508_0),esk507_0),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3030,c_0_3031]),c_0_3032]),c_0_3033]) ).
cnf(c_0_3038,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ r2_hidden(k6_lattices(X2),X1) ),
i_0_2578 ).
cnf(c_0_3039,negated_conjecture,
( r2_hidden(k3_lattices(esk506_0,X1,X2),esk507_0)
| ~ r2_hidden(X2,esk507_0)
| ~ r2_hidden(X1,esk507_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3034,c_0_3035]),c_0_3019]),c_0_3020])]),c_0_3022]) ).
cnf(c_0_3040,negated_conjecture,
r2_hidden(esk508_0,esk507_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3036,c_0_3037])]) ).
cnf(c_0_3041,plain,
( k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2706 ).
cnf(c_0_3042,negated_conjecture,
( u1_struct_0(esk506_0) = esk507_0
| ~ v14_lattices(esk506_0)
| ~ r2_hidden(k6_lattices(esk506_0),esk507_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3038,c_0_3021]),c_0_3019]),c_0_3020])]),c_0_3022]) ).
cnf(c_0_3043,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_57 ).
cnf(c_0_3044,negated_conjecture,
( r2_hidden(k3_lattices(esk506_0,X1,esk508_0),esk507_0)
| ~ r2_hidden(X1,esk507_0) ),
inference(spm,[status(thm)],[c_0_3039,c_0_3040]) ).
cnf(c_0_3045,negated_conjecture,
k3_lattices(esk506_0,k7_lattices(esk506_0,esk508_0),esk508_0) = k6_lattices(esk506_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_3041,c_0_3024]),c_0_3018]),c_0_3019]),c_0_3020])]),c_0_3022]) ).
cnf(c_0_3046,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
i_0_106 ).
cnf(c_0_3047,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_2170 ).
cnf(c_0_3048,plain,
( u1_struct_0(esk506_0) = esk507_0
| ~ r2_hidden(k6_lattices(esk506_0),esk507_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3042,c_0_3043]),c_0_3018]),c_0_3020])]),c_0_3022]) ).
cnf(c_0_3049,negated_conjecture,
r2_hidden(k6_lattices(esk506_0),esk507_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3044,c_0_3037]),c_0_3045]) ).
cnf(c_0_3050,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_filter_2(X1,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3046]),c_0_3047]) ).
cnf(c_0_3051,plain,
u1_struct_0(esk506_0) = esk507_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3048,c_0_3049])]) ).
cnf(c_0_3052,plain,
$false,
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_3050,c_0_3051]),c_0_3019]),c_0_3020]),c_0_3017])]),c_0_3022]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT323+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 11:16:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.36/0.58 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.58 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.36/0.58 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.36/0.58 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.48/3.75 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.48/3.75 # No SInE strategy applied
% 10.48/3.75 # Trying AutoSched0 for 150 seconds
% 10.48/3.75 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 10.48/3.75 # and selection function SelectCQIPrecWNTNp.
% 10.48/3.75 #
% 10.48/3.75 # Preprocessing time : 0.031 s
% 10.48/3.75 # Presaturation interreduction done
% 10.48/3.75
% 10.48/3.75 # Proof found!
% 10.48/3.75 # SZS status Theorem
% 10.48/3.75 # SZS output start CNFRefutation
% See solution above
% 10.48/3.75 # Training examples: 0 positive, 0 negative
% 10.48/3.75
% 10.48/3.75 # -------------------------------------------------
% 10.48/3.75 # User time : 0.202 s
% 10.48/3.75 # System time : 0.012 s
% 10.48/3.75 # Total time : 0.214 s
% 10.48/3.75 # Maximum resident set size: 7124 pages
% 10.48/3.75
%------------------------------------------------------------------------------