TSTP Solution File: LAT289+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 04:28:55 EDT 2022
% Result : Theorem 8.00s 2.44s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of clauses : 61 ( 32 unt; 20 nHn; 58 RR)
% Number of literals : 172 ( 7 equ; 93 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 58 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_160,plain,
( v3_struct_0(X1)
| m1_filter_0(esk21_1(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_160) ).
cnf(i_0_6,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_6) ).
cnf(i_0_9,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_10) ).
cnf(i_0_175,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-bfniyvyj/lgb.p',i_0_175) ).
cnf(i_0_149,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-bfniyvyj/lgb.p',i_0_149) ).
cnf(i_0_148,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_148) ).
cnf(i_0_161,plain,
m1_subset_1(esk22_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_161) ).
cnf(i_0_176,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-bfniyvyj/lgb.p',i_0_176) ).
cnf(i_0_162,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_162) ).
cnf(i_0_96,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_96) ).
cnf(i_0_170,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_170) ).
cnf(i_0_8,negated_conjecture,
v17_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_8) ).
cnf(i_0_7,negated_conjecture,
~ v3_realset2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_7) ).
cnf(i_0_172,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_1(k9_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_172) ).
cnf(i_0_171,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_171) ).
cnf(i_0_163,plain,
( k8_lopclset(X1) = k9_lopclset(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_163) ).
cnf(i_0_2,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_2) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_5) ).
cnf(i_0_203,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X3))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_203) ).
cnf(i_0_3,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_4) ).
cnf(i_0_1,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfniyvyj/lgb.p',i_0_1) ).
cnf(c_0_227,plain,
( v3_struct_0(X1)
| m1_filter_0(esk21_1(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_160 ).
cnf(c_0_228,negated_conjecture,
l3_lattices(esk1_0),
i_0_6 ).
cnf(c_0_229,negated_conjecture,
v10_lattices(esk1_0),
i_0_9 ).
cnf(c_0_230,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_10 ).
cnf(c_0_231,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_175 ).
cnf(c_0_232,negated_conjecture,
m1_filter_0(esk21_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]),c_0_230]) ).
cnf(c_0_233,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_149 ).
cnf(c_0_234,plain,
m1_subset_1(esk21_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_231,c_0_232]),c_0_228]),c_0_229])]),c_0_230]) ).
cnf(c_0_235,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_148 ).
cnf(c_0_236,plain,
m1_subset_1(esk22_1(X1),X1),
i_0_161 ).
cnf(c_0_237,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_0(X2,X1) ),
i_0_176 ).
cnf(c_0_238,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
i_0_162 ).
cnf(c_0_239,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_96 ).
cnf(c_0_240,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_170 ).
cnf(c_0_241,negated_conjecture,
v17_lattices(esk1_0),
i_0_8 ).
cnf(c_0_242,negated_conjecture,
~ v3_realset2(esk1_0),
i_0_7 ).
cnf(c_0_243,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_1(k9_lopclset(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_172 ).
cnf(c_0_244,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_171 ).
cnf(c_0_245,plain,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_246,plain,
( v1_xboole_0(X1)
| r2_hidden(esk22_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_247,plain,
~ v1_xboole_0(esk21_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_237,c_0_232]),c_0_228]),c_0_229])]),c_0_230]) ).
cnf(c_0_248,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_subset_1(X4,X1) ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_249,negated_conjecture,
m2_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(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_240,c_0_228]),c_0_241]),c_0_229])]),c_0_242]),c_0_230]) ).
cnf(c_0_250,negated_conjecture,
v1_funct_1(k9_lopclset(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_243,c_0_228]),c_0_241]),c_0_229])]),c_0_242]),c_0_230]) ).
cnf(c_0_251,negated_conjecture,
v1_funct_2(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(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_244,c_0_228]),c_0_241]),c_0_229])]),c_0_242]),c_0_230]) ).
cnf(c_0_252,plain,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).
cnf(c_0_253,plain,
( k8_lopclset(X1) = k9_lopclset(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_163 ).
cnf(c_0_254,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0)),
i_0_2 ).
cnf(c_0_255,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),X1) = k1_funct_1(k9_lopclset(esk1_0),X1)
| ~ m1_subset_1(X1,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_248,c_0_249]),c_0_250]),c_0_251])]),c_0_252]) ).
cnf(c_0_256,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_5 ).
cnf(c_0_257,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X3))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_203 ).
cnf(c_0_258,negated_conjecture,
k8_lopclset(esk1_0) = k9_lopclset(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_253,c_0_228]),c_0_241]),c_0_229])]),c_0_242]),c_0_230]) ).
cnf(c_0_259,negated_conjecture,
~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256])]) ).
cnf(c_0_260,negated_conjecture,
( r2_hidden(X1,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ v1_filter_0(X1,esk1_0)
| ~ m1_filter_0(X1,esk1_0)
| ~ r2_hidden(esk2_0,X1) ),
inference(rw,[status(thm)],[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_257,c_0_256]),c_0_228]),c_0_241]),c_0_229])]),c_0_242]),c_0_230]),c_0_258]) ).
cnf(c_0_261,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
i_0_3 ).
cnf(c_0_262,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
i_0_4 ).
cnf(c_0_263,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
i_0_1 ).
cnf(c_0_264,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261]),c_0_262]),c_0_263])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n027.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 19:28:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.00/2.44 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.00/2.44 # No SInE strategy applied
% 8.00/2.44 # Trying AutoSched0 for 150 seconds
% 8.00/2.44 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 8.00/2.44 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.00/2.44 #
% 8.00/2.44 # Preprocessing time : 0.015 s
% 8.00/2.44
% 8.00/2.44 # Proof found!
% 8.00/2.44 # SZS status Theorem
% 8.00/2.44 # SZS output start CNFRefutation
% See solution above
% 8.00/2.44 # Training examples: 0 positive, 0 negative
% 8.00/2.44
% 8.00/2.44 # -------------------------------------------------
% 8.00/2.44 # User time : 0.020 s
% 8.00/2.44 # System time : 0.005 s
% 8.00/2.44 # Total time : 0.026 s
% 8.00/2.44 # Maximum resident set size: 7128 pages
% 8.00/2.44
%------------------------------------------------------------------------------