TSTP Solution File: LAT302+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT302+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 04:29:11 EDT 2022
% Result : Theorem 9.04s 2.52s
% Output : CNFRefutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of clauses : 61 ( 31 unt; 18 nHn; 61 RR)
% Number of literals : 135 ( 7 equ; 64 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_31,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_31) ).
cnf(i_0_3,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_3) ).
cnf(i_0_44,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_44) ).
cnf(i_0_187,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/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_187) ).
cnf(i_0_2,negated_conjecture,
v13_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_2) ).
cnf(i_0_4,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_5) ).
cnf(i_0_185,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_185) ).
cnf(i_0_105,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_105) ).
cnf(i_0_74,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_74) ).
cnf(i_0_40,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_40) ).
cnf(i_0_175,plain,
( v3_struct_0(X1)
| m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_175) ).
cnf(i_0_43,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_43) ).
cnf(i_0_37,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_37) ).
cnf(i_0_75,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_75) ).
cnf(i_0_170,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_170) ).
cnf(i_0_39,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_39) ).
cnf(i_0_169,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_169) ).
cnf(i_0_177,plain,
( v3_struct_0(X1)
| m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_177) ).
cnf(i_0_1,negated_conjecture,
~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a56r6yge/input.p',i_0_1) ).
cnf(c_0_208,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_31 ).
cnf(c_0_209,negated_conjecture,
l3_lattices(esk1_0),
i_0_3 ).
cnf(c_0_210,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_44 ).
cnf(c_0_211,plain,
( k6_lattices(k1_lattice2(X1)) = k5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
i_0_187 ).
cnf(c_0_212,negated_conjecture,
v13_lattices(esk1_0),
i_0_2 ).
cnf(c_0_213,negated_conjecture,
v10_lattices(esk1_0),
i_0_4 ).
cnf(c_0_214,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_5 ).
cnf(c_0_215,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
i_0_185 ).
cnf(c_0_216,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_105 ).
cnf(c_0_217,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_74 ).
cnf(c_0_218,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_219,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_40 ).
cnf(c_0_220,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_210,c_0_209]) ).
cnf(c_0_221,plain,
( v3_struct_0(X1)
| m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_175 ).
cnf(c_0_222,negated_conjecture,
k6_lattices(k1_lattice2(esk1_0)) = k5_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_209]),c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_223,negated_conjecture,
v14_lattices(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_209]),c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_224,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_216,c_0_209]),c_0_213])]),c_0_214]) ).
cnf(c_0_225,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_209]),c_0_214]) ).
cnf(c_0_226,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_43 ).
cnf(c_0_227,plain,
l1_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_210,c_0_218]) ).
cnf(c_0_228,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
i_0_37 ).
cnf(c_0_229,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_75 ).
cnf(c_0_230,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_231,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_170 ).
cnf(c_0_232,negated_conjecture,
m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),k5_lattices(esk1_0)),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_221,c_0_218]),c_0_222]),c_0_223]),c_0_224])]),c_0_225]) ).
cnf(c_0_233,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
i_0_39 ).
cnf(c_0_234,plain,
l2_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_226,c_0_218]) ).
cnf(c_0_235,plain,
l1_struct_0(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_219,c_0_227]) ).
cnf(c_0_236,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
i_0_169 ).
cnf(c_0_237,negated_conjecture,
m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_220]),c_0_214]) ).
cnf(c_0_238,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_214]) ).
cnf(c_0_239,plain,
( v3_struct_0(X1)
| m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,k1_lattice2(X1)) ),
i_0_177 ).
cnf(c_0_240,plain,
m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),k5_lattices(esk1_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_231,c_0_232]),c_0_218]),c_0_224])]),c_0_225]) ).
cnf(c_0_241,plain,
m1_subset_1(k5_lattices(esk1_0),u1_struct_0(k1_lattice2(esk1_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_225]),c_0_222]) ).
cnf(c_0_242,plain,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_235]),c_0_225]) ).
cnf(c_0_243,negated_conjecture,
~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0),
i_0_1 ).
cnf(c_0_244,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)) = k1_tarski(k5_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).
cnf(c_0_245,plain,
m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),k5_lattices(esk1_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_239,c_0_240]),c_0_209]),c_0_213])]),c_0_214]) ).
cnf(c_0_246,plain,
k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),k5_lattices(esk1_0)) = k1_tarski(k5_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_241]),c_0_242]) ).
cnf(c_0_247,negated_conjecture,
~ m2_filter_2(k1_tarski(k5_lattices(esk1_0)),esk1_0),
inference(rw,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_248,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246]),c_0_247]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT302+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 29 03:52:09 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.04/2.52 # ENIGMATIC: Solved by autoschedule:
% 9.04/2.52 # No SInE strategy applied
% 9.04/2.52 # Trying AutoSched0 for 150 seconds
% 9.04/2.52 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S079N
% 9.04/2.52 # and selection function SelectGrCQArEqFirst.
% 9.04/2.52 #
% 9.04/2.52 # Preprocessing time : 0.027 s
% 9.04/2.52 # Presaturation interreduction done
% 9.04/2.52
% 9.04/2.52 # Proof found!
% 9.04/2.52 # SZS status Theorem
% 9.04/2.52 # SZS output start CNFRefutation
% See solution above
% 9.04/2.52 # Training examples: 0 positive, 0 negative
% 9.04/2.52
% 9.04/2.52 # -------------------------------------------------
% 9.04/2.52 # User time : 0.092 s
% 9.04/2.52 # System time : 0.010 s
% 9.04/2.52 # Total time : 0.102 s
% 9.04/2.52 # Maximum resident set size: 7120 pages
% 9.04/2.52
%------------------------------------------------------------------------------