TSTP Solution File: LAT313+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 04:29:24 EDT 2022
% Result : Theorem 7.32s 2.28s
% Output : CNFRefutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 51 ( 25 unt; 18 nHn; 51 RR)
% Number of literals : 150 ( 14 equ; 86 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_19) ).
cnf(i_0_5,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_7) ).
cnf(i_0_31,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-42zldj0f/lgb.p',i_0_31) ).
cnf(i_0_4,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_4) ).
cnf(i_0_20,plain,
( v3_struct_0(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_20) ).
cnf(i_0_67,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_67) ).
cnf(i_0_72,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_72) ).
cnf(i_0_33,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-42zldj0f/lgb.p',i_0_33) ).
cnf(i_0_32,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_32) ).
cnf(i_0_3,negated_conjecture,
v14_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_2) ).
cnf(i_0_58,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_58) ).
cnf(i_0_64,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_64) ).
cnf(i_0_68,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_68) ).
cnf(i_0_1,negated_conjecture,
( u1_struct_0(esk1_0) != esk2_0
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42zldj0f/lgb.p',i_0_1) ).
cnf(c_0_90,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_19 ).
cnf(c_0_91,negated_conjecture,
l3_lattices(esk1_0),
i_0_5 ).
cnf(c_0_92,negated_conjecture,
v10_lattices(esk1_0),
i_0_6 ).
cnf(c_0_93,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_94,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_31 ).
cnf(c_0_95,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
i_0_4 ).
cnf(c_0_96,plain,
( v3_struct_0(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_20 ).
cnf(c_0_97,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]),c_0_93]) ).
cnf(c_0_98,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_67 ).
cnf(c_0_99,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_72 ).
cnf(c_0_100,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_33 ).
cnf(c_0_101,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_94,c_0_95]),c_0_91]),c_0_92])]),c_0_93]) ).
cnf(c_0_102,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
i_0_32 ).
cnf(c_0_103,negated_conjecture,
m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_91]),c_0_92])]),c_0_93]),c_0_97]) ).
cnf(c_0_104,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,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_100,c_0_101]),c_0_91]),c_0_92])]),c_0_93]) ).
cnf(c_0_106,negated_conjecture,
v14_lattices(esk1_0),
i_0_3 ).
cnf(c_0_107,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
i_0_2 ).
cnf(c_0_108,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
i_0_58 ).
cnf(c_0_109,plain,
~ v1_xboole_0(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_102,c_0_103]),c_0_91]),c_0_92])]),c_0_93]) ).
cnf(c_0_110,plain,
m2_lattice4(u1_struct_0(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_94,c_0_103]),c_0_91]),c_0_92])]),c_0_93]) ).
cnf(c_0_111,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_64 ).
cnf(c_0_112,plain,
k19_filter_2(esk1_0,esk2_0) = u1_struct_0(esk1_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_104,c_0_105]),c_0_106]),c_0_91]),c_0_92]),c_0_107])]),c_0_93]) ).
cnf(c_0_113,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_68 ).
cnf(c_0_114,negated_conjecture,
( u1_struct_0(esk1_0) != esk2_0
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0)) ),
i_0_1 ).
cnf(c_0_115,plain,
( X1 = esk2_0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_filter_2(u1_struct_0(esk1_0),X1,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_105]),c_0_109]) ).
cnf(c_0_116,plain,
m1_subset_1(u1_struct_0(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_100,c_0_110]),c_0_91]),c_0_92])]),c_0_93]) ).
cnf(c_0_117,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_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_111,c_0_95]),c_0_91]),c_0_92])]),c_0_93]),c_0_112]) ).
cnf(c_0_118,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_113,c_0_99]) ).
cnf(c_0_119,negated_conjecture,
( u1_struct_0(esk1_0) != esk2_0
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[c_0_114,c_0_97]) ).
cnf(c_0_120,plain,
u1_struct_0(esk1_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]) ).
cnf(c_0_121,plain,
r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(rw,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_97]),c_0_106]),c_0_91]),c_0_92]),c_0_107])]),c_0_93]),c_0_112]) ).
cnf(c_0_122,negated_conjecture,
~ r1_filter_2(esk2_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120]),c_0_120]),c_0_120])]) ).
cnf(c_0_123,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_120]),c_0_120]),c_0_120]),c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 20:37:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.32/2.28 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.32/2.28 # No SInE strategy applied
% 7.32/2.28 # Trying AutoSched0 for 150 seconds
% 7.32/2.28 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 7.32/2.28 # and selection function SelectComplexG.
% 7.32/2.28 #
% 7.32/2.28 # Preprocessing time : 0.024 s
% 7.32/2.28
% 7.32/2.28 # Proof found!
% 7.32/2.28 # SZS status Theorem
% 7.32/2.28 # SZS output start CNFRefutation
% See solution above
% 7.32/2.28 # Training examples: 0 positive, 0 negative
% 7.32/2.28
% 7.32/2.28 # -------------------------------------------------
% 7.32/2.28 # User time : 0.028 s
% 7.32/2.28 # System time : 0.008 s
% 7.32/2.28 # Total time : 0.036 s
% 7.32/2.28 # Maximum resident set size: 7128 pages
% 7.32/2.28
%------------------------------------------------------------------------------