%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT303+1 : 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 04:29:12 EDT 2022
% Result : Theorem 7.07s 2.21s
% Output : CNFRefutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of clauses : 72 ( 25 unt; 30 nHn; 69 RR)
% Number of literals : 191 ( 8 equ; 98 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_67,plain,
( v3_struct_0(X1)
| m1_filter_0(esk7_1(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_67) ).
cnf(i_0_4,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_6) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_46) ).
cnf(i_0_179,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_179) ).
cnf(i_0_2,negated_conjecture,
m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),esk2_0),esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_2) ).
cnf(i_0_106,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_106) ).
cnf(i_0_184,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_184) ).
cnf(i_0_180,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_180) ).
cnf(i_0_70,plain,
m1_subset_1(esk10_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_70) ).
cnf(i_0_47,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_47) ).
cnf(i_0_30,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_30) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_3) ).
cnf(i_0_172,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-a51qmve0/lgb.p',i_0_172) ).
cnf(i_0_170,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_170) ).
cnf(i_0_39,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_39) ).
cnf(i_0_33,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_33) ).
cnf(i_0_76,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_76) ).
cnf(i_0_43,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_43) ).
cnf(i_0_44,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_44) ).
cnf(i_0_176,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_176) ).
cnf(i_0_185,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_185) ).
cnf(i_0_1,negated_conjecture,
~ v13_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_1) ).
cnf(i_0_75,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a51qmve0/lgb.p',i_0_75) ).
cnf(c_0_211,plain,
( v3_struct_0(X1)
| m1_filter_0(esk7_1(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_67 ).
cnf(c_0_212,negated_conjecture,
l3_lattices(esk1_0),
i_0_4 ).
cnf(c_0_213,negated_conjecture,
v10_lattices(esk1_0),
i_0_5 ).
cnf(c_0_214,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_215,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_46 ).
cnf(c_0_216,negated_conjecture,
m1_filter_0(esk7_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_217,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_179 ).
cnf(c_0_218,negated_conjecture,
m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),esk2_0),esk1_0),
i_0_2 ).
cnf(c_0_219,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_106 ).
cnf(c_0_220,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_184 ).
cnf(c_0_221,plain,
m1_subset_1(esk7_1(esk1_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_215,c_0_216]),c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_222,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_180 ).
cnf(c_0_223,plain,
m1_subset_1(esk10_1(X1),X1),
i_0_70 ).
cnf(c_0_224,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_0(X2,X1) ),
i_0_47 ).
cnf(c_0_225,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_30 ).
cnf(c_0_226,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_3 ).
cnf(c_0_227,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_172 ).
cnf(c_0_228,negated_conjecture,
m1_filter_2(k6_domain_1(u1_struct_0(esk1_0),esk2_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_217,c_0_218]),c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_229,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_230,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
i_0_170 ).
cnf(c_0_231,plain,
( ~ r2_hidden(X1,esk7_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_232,plain,
( r2_hidden(esk10_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_233,plain,
~ v1_xboole_0(esk7_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_216]),c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_234,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_39 ).
cnf(c_0_235,negated_conjecture,
k5_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(spm,[status(thm)],[c_0_225,c_0_226]),c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_236,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).
cnf(c_0_237,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_33 ).
cnf(c_0_238,negated_conjecture,
( k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_230,c_0_226]) ).
cnf(c_0_239,plain,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]) ).
cnf(c_0_240,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_76 ).
cnf(c_0_241,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
i_0_43 ).
cnf(c_0_242,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_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_234,c_0_226]),c_0_212]),c_0_213])]),c_0_214]),c_0_235]) ).
cnf(c_0_243,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_212])]) ).
cnf(c_0_244,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0),
inference(sr,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_245,plain,
( v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_246,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_44 ).
cnf(c_0_247,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1) ),
i_0_176 ).
cnf(c_0_248,plain,
( k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),esk2_0) = k1_tarski(esk2_0)
| v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_230,c_0_242]) ).
cnf(c_0_249,plain,
( m1_filter_0(k1_tarski(esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_250,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_251,plain,
( v14_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_229]),c_0_242])]),c_0_249]),c_0_250]) ).
cnf(c_0_252,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(k1_lattice2(X1)) ),
i_0_185 ).
cnf(c_0_253,plain,
( v14_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_237]),c_0_212])]) ).
cnf(c_0_254,negated_conjecture,
~ v13_lattices(esk1_0),
i_0_1 ).
cnf(c_0_255,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_75 ).
cnf(c_0_256,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(spm,[status(thm)],[c_0_252,c_0_253]),c_0_212]),c_0_213])]),c_0_254]),c_0_214]) ).
cnf(c_0_257,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_212])]),c_0_214]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT303+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 02:20:09 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.07/2.21 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.07/2.21 # No SInE strategy applied
% 7.07/2.21 # Trying AutoSched0 for 150 seconds
% 7.07/2.21 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.07/2.21 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.07/2.21 #
% 7.07/2.21 # Preprocessing time : 0.026 s
% 7.07/2.21 # Presaturation interreduction done
% 7.07/2.21
% 7.07/2.21 # Proof found!
% 7.07/2.21 # SZS status Theorem
% 7.07/2.21 # SZS output start CNFRefutation
% See solution above
% 7.07/2.21 # Training examples: 0 positive, 0 negative
% 7.07/2.21
% 7.07/2.21 # -------------------------------------------------
% 7.07/2.21 # User time : 0.064 s
% 7.07/2.21 # System time : 0.008 s
% 7.07/2.21 # Total time : 0.072 s
% 7.07/2.21 # Maximum resident set size: 7128 pages
% 7.07/2.21
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