TSTP Solution File: PRO005+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 : Mon Jul 18 17:43:36 EDT 2022
% Result : Theorem 9.33s 2.53s
% Output : CNFRefutation 9.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of clauses : 76 ( 29 unt; 20 nHn; 76 RR)
% Number of literals : 166 ( 12 equ; 83 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 87 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_67,plain,
( root_occ(esk15_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_67) ).
cnf(i_0_84,negated_conjecture,
occurrence_of(esk18_0,tptp0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_84) ).
cnf(i_0_68,plain,
( occurrence_of(esk15_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_68) ).
cnf(i_0_64,plain,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_64) ).
cnf(i_0_82,plain,
( leaf_occ(X1,X2)
| next_subocc(X1,esk17_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_82) ).
cnf(i_0_19,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_19) ).
cnf(i_0_26,plain,
( arboreal(X1)
| ~ atomic(X2)
| ~ occurrence_of(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_26) ).
cnf(i_0_71,plain,
atomic(tptp4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_71) ).
cnf(i_0_8,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_8) ).
cnf(i_0_43,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_43) ).
cnf(i_0_83,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk17_1(X1),tptp1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_83) ).
cnf(i_0_49,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_49) ).
cnf(i_0_42,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_42) ).
cnf(i_0_81,plain,
( root_occ(X1,X2)
| leaf_occ(X1,X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_81) ).
cnf(i_0_47,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_47) ).
cnf(i_0_74,plain,
atomic(tptp1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_74) ).
cnf(i_0_4,plain,
( X1 = X2
| atomic(X3)
| ~ occurrence_of(X4,X3)
| ~ leaf_occ(X2,X4)
| ~ leaf_occ(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_4) ).
cnf(i_0_65,plain,
( leaf_occ(esk16_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_65) ).
cnf(i_0_66,plain,
( occurrence_of(esk16_1(X1),tptp3)
| occurrence_of(esk16_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_66) ).
cnf(i_0_70,plain,
~ atomic(tptp0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_70) ).
cnf(i_0_44,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_44) ).
cnf(i_0_79,plain,
tptp1 != tptp2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_79) ).
cnf(i_0_78,plain,
tptp1 != tptp3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__0109yj/lgb.p',i_0_78) ).
cnf(c_0_108,plain,
( root_occ(esk15_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
i_0_67 ).
cnf(c_0_109,negated_conjecture,
occurrence_of(esk18_0,tptp0),
i_0_84 ).
cnf(c_0_110,plain,
( occurrence_of(esk15_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
i_0_68 ).
cnf(c_0_111,plain,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
i_0_64 ).
cnf(c_0_112,plain,
( leaf_occ(X1,X2)
| next_subocc(X1,esk17_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
i_0_82 ).
cnf(c_0_113,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
i_0_19 ).
cnf(c_0_114,negated_conjecture,
root_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,plain,
( arboreal(X1)
| ~ atomic(X2)
| ~ occurrence_of(X1,X2) ),
i_0_26 ).
cnf(c_0_116,negated_conjecture,
occurrence_of(esk15_1(esk18_0),tptp4),
inference(spm,[status(thm)],[c_0_110,c_0_109]) ).
cnf(c_0_117,plain,
atomic(tptp4),
i_0_71 ).
cnf(c_0_118,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
i_0_8 ).
cnf(c_0_119,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_111,c_0_109]) ).
cnf(c_0_120,negated_conjecture,
( leaf_occ(X1,esk18_0)
| next_subocc(X1,esk17_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk18_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_109]) ).
cnf(c_0_121,plain,
subactivity_occurrence(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_122,plain,
arboreal(esk15_1(esk18_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_123,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
i_0_43 ).
cnf(c_0_124,plain,
min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_125,plain,
( leaf_occ(esk15_1(esk18_0),esk18_0)
| next_subocc(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]) ).
cnf(c_0_126,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk17_1(X1),tptp1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
i_0_83 ).
cnf(c_0_127,plain,
( ~ leaf_occ(esk15_1(esk18_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,plain,
( min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0)
| leaf_occ(esk15_1(esk18_0),esk18_0) ),
inference(spm,[status(thm)],[c_0_118,c_0_125]) ).
cnf(c_0_129,negated_conjecture,
( leaf_occ(X1,esk18_0)
| occurrence_of(esk17_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk18_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_109]) ).
cnf(c_0_130,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
i_0_49 ).
cnf(c_0_131,plain,
min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_109])]) ).
cnf(c_0_132,plain,
( leaf_occ(esk15_1(esk18_0),esk18_0)
| occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_121]),c_0_122])]) ).
cnf(c_0_133,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
i_0_42 ).
cnf(c_0_134,plain,
( root_occ(X1,X2)
| leaf_occ(X1,X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
i_0_81 ).
cnf(c_0_135,plain,
occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),tptp0),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
i_0_47 ).
cnf(c_0_137,plain,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_132]),c_0_109])]) ).
cnf(c_0_138,plain,
atomic(tptp1),
i_0_74 ).
cnf(c_0_139,plain,
( ~ root_occ(esk17_1(esk15_1(esk18_0)),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_133,c_0_131]) ).
cnf(c_0_140,plain,
( root_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| leaf_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,plain,
subactivity_occurrence(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_136,c_0_131]) ).
cnf(c_0_142,plain,
arboreal(esk17_1(esk15_1(esk18_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_137]),c_0_138])]) ).
cnf(c_0_143,plain,
~ root_occ(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_139,c_0_135]) ).
cnf(c_0_144,plain,
( X1 = X2
| atomic(X3)
| ~ occurrence_of(X4,X3)
| ~ leaf_occ(X2,X4)
| ~ leaf_occ(X1,X4) ),
i_0_4 ).
cnf(c_0_145,plain,
leaf_occ(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]),c_0_143]) ).
cnf(c_0_146,plain,
( leaf_occ(esk16_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
i_0_65 ).
cnf(c_0_147,plain,
( X1 = esk17_1(esk15_1(esk18_0))
| atomic(X2)
| ~ leaf_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,plain,
leaf_occ(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_146,c_0_135]) ).
cnf(c_0_149,plain,
( occurrence_of(esk16_1(X1),tptp3)
| occurrence_of(esk16_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
i_0_66 ).
cnf(c_0_150,plain,
( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
| atomic(X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_151,plain,
~ atomic(tptp0),
i_0_70 ).
cnf(c_0_152,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
i_0_44 ).
cnf(c_0_153,plain,
( occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp2)
| occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp3) ),
inference(spm,[status(thm)],[c_0_149,c_0_135]) ).
cnf(c_0_154,plain,
esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_135]),c_0_151]) ).
cnf(c_0_155,plain,
( X1 = tptp1
| ~ occurrence_of(esk17_1(esk15_1(esk18_0)),X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_137]) ).
cnf(c_0_156,plain,
( occurrence_of(esk17_1(esk15_1(esk18_0)),tptp3)
| occurrence_of(esk17_1(esk15_1(esk18_0)),tptp2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154]),c_0_154]) ).
cnf(c_0_157,plain,
tptp1 != tptp2,
i_0_79 ).
cnf(c_0_158,plain,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_159,plain,
tptp1 != tptp3,
i_0_78 ).
cnf(c_0_160,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_158]),c_0_159]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 03:32:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 9.33/2.53 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.33/2.53 # No SInE strategy applied
% 9.33/2.53 # Trying AutoSched0 for 150 seconds
% 9.33/2.53 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 9.33/2.53 # and selection function SelectCQArNTNpEqFirst.
% 9.33/2.53 #
% 9.33/2.53 # Preprocessing time : 0.022 s
% 9.33/2.53 # Presaturation interreduction done
% 9.33/2.53
% 9.33/2.53 # Proof found!
% 9.33/2.53 # SZS status Theorem
% 9.33/2.53 # SZS output start CNFRefutation
% See solution above
% 9.33/2.53 # Training examples: 0 positive, 0 negative
% 9.33/2.53
% 9.33/2.53 # -------------------------------------------------
% 9.33/2.53 # User time : 0.218 s
% 9.33/2.53 # System time : 0.009 s
% 9.33/2.53 # Total time : 0.227 s
% 9.33/2.53 # Maximum resident set size: 7128 pages
% 9.33/2.53
%------------------------------------------------------------------------------