TSTP Solution File: RNG093+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG093+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 20:24:58 EDT 2022
% Result : Theorem 9.90s 2.74s
% Output : CNFRefutation 9.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 59 ( 18 unt; 12 nHn; 59 RR)
% Number of literals : 171 ( 8 equ; 104 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_58,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_58) ).
cnf(i_0_51,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_51) ).
cnf(i_0_46,plain,
( aSet0(X1)
| X1 != sdtasasdt0(X2,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_46) ).
cnf(i_0_54,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_54) ).
cnf(i_0_56,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_56) ).
cnf(i_0_57,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_57) ).
cnf(i_0_44,plain,
( aElementOf0(X1,X2)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_44) ).
cnf(i_0_45,plain,
( aElementOf0(X1,X2)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_45) ).
cnf(i_0_43,plain,
( aElementOf0(X1,X2)
| X2 != sdtasasdt0(X3,X4)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElementOf0(X1,X4)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_43) ).
cnf(i_0_50,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_50) ).
cnf(i_0_49,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_49) ).
cnf(i_0_52,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aIdeal0(X3)
| ~ aElementOf0(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_52) ).
cnf(i_0_47,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_47) ).
cnf(i_0_53,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(X3)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_53) ).
cnf(i_0_48,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0m9coi_/lgb.p',i_0_48) ).
cnf(c_0_74,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
i_0_58 ).
cnf(c_0_75,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
i_0_51 ).
cnf(c_0_76,plain,
( aSet0(X1)
| X1 != sdtasasdt0(X2,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
i_0_46 ).
cnf(c_0_77,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_54 ).
cnf(c_0_78,hypothesis,
aIdeal0(xJ),
i_0_56 ).
cnf(c_0_79,hypothesis,
aIdeal0(xI),
i_0_57 ).
cnf(c_0_80,plain,
( aElementOf0(X1,X2)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_44 ).
cnf(c_0_81,negated_conjecture,
( aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
( aSet0(sdtasasdt0(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_83,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_77,c_0_79]) ).
cnf(c_0_85,plain,
( aElementOf0(X1,X2)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_45 ).
cnf(c_0_86,plain,
( aElementOf0(X1,X2)
| X2 != sdtasasdt0(X3,X4)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElementOf0(X1,X4)
| ~ aElementOf0(X1,X3) ),
i_0_43 ).
cnf(c_0_87,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X3,X2))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_80]) ).
cnf(c_0_88,negated_conjecture,
aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84])]) ).
cnf(c_0_89,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_90,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1) ),
i_0_50 ).
cnf(c_0_91,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
i_0_49 ).
cnf(c_0_92,plain,
( aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_93,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aIdeal0(X3)
| ~ aElementOf0(X2,X3) ),
i_0_52 ).
cnf(c_0_94,plain,
aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_84]),c_0_83])]) ).
cnf(c_0_95,negated_conjecture,
aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_88]),c_0_83]),c_0_84])]) ).
cnf(c_0_96,negated_conjecture,
( aElement0(esk11_1(sdtasasdt0(xI,xJ)))
| aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ aSet0(sdtasasdt0(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_74,c_0_90]) ).
cnf(c_0_97,plain,
( aElementOf0(esk10_1(sdtasasdt0(X1,X2)),sdtasasdt0(X1,X2))
| aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(X1,X2)),esk9_1(sdtasasdt0(X1,X2))),X2)
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(X1,X2)),esk9_1(sdtasasdt0(X1,X2))),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_82]) ).
cnf(c_0_98,plain,
( aElementOf0(sdtasdt0(X1,esk9_1(sdtasasdt0(xI,xJ))),xJ)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_78])]) ).
cnf(c_0_99,plain,
( aElementOf0(sdtasdt0(X1,esk9_1(sdtasasdt0(xI,xJ))),xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_95]),c_0_79])]) ).
cnf(c_0_100,plain,
( aElement0(esk11_1(sdtasasdt0(xI,xJ)))
| aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_82]),c_0_83]),c_0_84])]) ).
cnf(c_0_101,plain,
aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_83]),c_0_84])]),c_0_74]),c_0_99]),c_0_100]) ).
cnf(c_0_102,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
i_0_47 ).
cnf(c_0_103,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(X3)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,X3) ),
i_0_53 ).
cnf(c_0_104,plain,
aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_101]),c_0_84]),c_0_83])]) ).
cnf(c_0_105,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(X1,X2)),esk9_1(sdtasasdt0(X1,X2))),sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X2)
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_92]),c_0_82]) ).
cnf(c_0_106,plain,
( aElementOf0(sdtpldt0(X1,esk10_1(sdtasasdt0(xI,xJ))),xJ)
| ~ aElementOf0(X1,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_78])]) ).
cnf(c_0_107,plain,
aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_101]),c_0_83]),c_0_84])]) ).
cnf(c_0_108,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1) ),
i_0_48 ).
cnf(c_0_109,plain,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(xI,xJ)),esk10_1(sdtasasdt0(xI,xJ))),xI) ),
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_105,c_0_106]),c_0_83]),c_0_84]),c_0_94])]),c_0_74]) ).
cnf(c_0_110,plain,
( aElementOf0(sdtpldt0(X1,esk10_1(sdtasasdt0(xI,xJ))),xI)
| ~ aElementOf0(X1,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_107]),c_0_79])]) ).
cnf(c_0_111,plain,
( aElement0(esk11_1(sdtasasdt0(X1,X2)))
| aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X2)
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_92]),c_0_82]) ).
cnf(c_0_112,plain,
~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_95])]) ).
cnf(c_0_113,plain,
( aElement0(esk11_1(sdtasasdt0(xI,xJ)))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(xI,xJ)),esk10_1(sdtasasdt0(xI,xJ))),xI) ),
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_111,c_0_106]),c_0_83]),c_0_84]),c_0_94])]),c_0_74]) ).
cnf(c_0_114,plain,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),xJ)
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_92]),c_0_83]),c_0_84])]) ).
cnf(c_0_115,plain,
aElement0(esk11_1(sdtasasdt0(xI,xJ))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_110]),c_0_95])]) ).
cnf(c_0_116,plain,
~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_98]),c_0_115])]) ).
cnf(c_0_117,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_99]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG093+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n020.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 May 30 19:04:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.90/2.74 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.90/2.74 # No SInE strategy applied
% 9.90/2.74 # Trying AutoSched0 for 150 seconds
% 9.90/2.74 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S088I
% 9.90/2.74 # and selection function SelectCQArNTEqFirstUnlessPDom.
% 9.90/2.74 #
% 9.90/2.74 # Preprocessing time : 0.022 s
% 9.90/2.74 # Presaturation interreduction done
% 9.90/2.74
% 9.90/2.74 # Proof found!
% 9.90/2.74 # SZS status Theorem
% 9.90/2.74 # SZS output start CNFRefutation
% See solution above
% 9.90/2.74 # Training examples: 0 positive, 0 negative
% 9.90/2.74
% 9.90/2.74 # -------------------------------------------------
% 9.90/2.74 # User time : 0.205 s
% 9.90/2.74 # System time : 0.011 s
% 9.90/2.74 # Total time : 0.216 s
% 9.90/2.74 # Maximum resident set size: 7120 pages
% 9.90/2.74
%------------------------------------------------------------------------------