%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 04:29:10 EDT 2022
% Result : Theorem 8.06s 2.43s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 50 ( 19 unt; 27 nHn; 50 RR)
% Number of literals : 152 ( 8 equ; 79 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_52,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_52) ).
cnf(i_0_3,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_6) ).
cnf(i_0_54,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_54) ).
cnf(i_0_163,plain,
( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_163) ).
cnf(i_0_29,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_29) ).
cnf(i_0_32,plain,
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_32) ).
cnf(i_0_165,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_165) ).
cnf(i_0_33,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_33) ).
cnf(i_0_103,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_103) ).
cnf(i_0_169,plain,
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_169) ).
cnf(i_0_177,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_177) ).
cnf(i_0_2,negated_conjecture,
v13_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_2) ).
cnf(i_0_179,plain,
( k6_lattices(k1_lattice2(X1)) = k5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_179) ).
cnf(i_0_1,negated_conjecture,
~ r2_hidden(k5_lattices(esk1_0),esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_1) ).
cnf(i_0_76,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32col9oa/lgb.p',i_0_76) ).
cnf(c_0_198,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_52 ).
cnf(c_0_199,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
i_0_3 ).
cnf(c_0_200,negated_conjecture,
l3_lattices(esk1_0),
i_0_4 ).
cnf(c_0_201,negated_conjecture,
v10_lattices(esk1_0),
i_0_5 ).
cnf(c_0_202,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_203,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_54 ).
cnf(c_0_204,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_205,plain,
( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_163 ).
cnf(c_0_206,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_29 ).
cnf(c_0_207,plain,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_208,negated_conjecture,
k7_filter_2(esk1_0,esk2_0) = k15_filter_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_199]),c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_209,plain,
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_32 ).
cnf(c_0_210,plain,
k15_filter_2(esk1_0,esk2_0) = esk2_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_206,c_0_207]),c_0_208]),c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_211,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_165 ).
cnf(c_0_212,negated_conjecture,
m1_filter_2(esk2_0,k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_199]),c_0_200]),c_0_201])]),c_0_202]),c_0_210]) ).
cnf(c_0_213,plain,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_214,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_33 ).
cnf(c_0_215,plain,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_200])]) ).
cnf(c_0_216,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_103 ).
cnf(c_0_217,plain,
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_169 ).
cnf(c_0_218,plain,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_219,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(k6_lattices(k1_lattice2(esk1_0)),esk2_0)
| ~ v14_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_220,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
i_0_177 ).
cnf(c_0_221,negated_conjecture,
v13_lattices(esk1_0),
i_0_2 ).
cnf(c_0_222,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(k6_lattices(k1_lattice2(esk1_0)),esk2_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_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_219,c_0_220]),c_0_221]),c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_223,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(k6_lattices(k1_lattice2(esk1_0)),esk2_0)
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_214]),c_0_200])]) ).
cnf(c_0_224,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| r2_hidden(k6_lattices(k1_lattice2(esk1_0)),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_216]),c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_225,plain,
( k6_lattices(k1_lattice2(X1)) = k5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
i_0_179 ).
cnf(c_0_226,negated_conjecture,
~ r2_hidden(k5_lattices(esk1_0),esk2_0),
i_0_1 ).
cnf(c_0_227,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_76 ).
cnf(c_0_228,plain,
v3_struct_0(k1_lattice2(esk1_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(spm,[status(thm)],[c_0_224,c_0_225]),c_0_221]),c_0_200]),c_0_201])]),c_0_226]),c_0_202]) ).
cnf(c_0_229,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_200])]),c_0_202]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 30 06:23:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.06/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.06/2.43 # No SInE strategy applied
% 8.06/2.43 # Trying AutoSched0 for 150 seconds
% 8.06/2.43 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.06/2.43 # and selection function SelectNewComplexAHPNS.
% 8.06/2.43 #
% 8.06/2.43 # Preprocessing time : 0.026 s
% 8.06/2.43
% 8.06/2.43 # Proof found!
% 8.06/2.43 # SZS status Theorem
% 8.06/2.43 # SZS output start CNFRefutation
% See solution above
% 8.06/2.43 # Training examples: 0 positive, 0 negative
% 8.06/2.43
% 8.06/2.43 # -------------------------------------------------
% 8.06/2.43 # User time : 0.036 s
% 8.06/2.43 # System time : 0.005 s
% 8.06/2.43 # Total time : 0.041 s
% 8.06/2.43 # Maximum resident set size: 7128 pages
% 8.06/2.43
%------------------------------------------------------------------------------