TSTP Solution File: RNG093+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 17.30s 3.78s
% Output : CNFRefutation 17.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of clauses : 78 ( 30 unt; 12 nHn; 78 RR)
% Number of literals : 160 ( 12 equ; 75 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_72,negated_conjecture,
( aElementOf0(X1,xI)
| ~ aElementOf0(X1,sdtasasdt0(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_72) ).
cnf(i_0_69,negated_conjecture,
aElementOf0(esk12_0,sdtasasdt0(xI,xJ)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_69) ).
cnf(i_0_61,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_61) ).
cnf(i_0_71,negated_conjecture,
( aElementOf0(X1,xJ)
| ~ aElementOf0(X1,sdtasasdt0(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_71) ).
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-u0i6o18g/input.p',i_0_45) ).
cnf(i_0_68,negated_conjecture,
( aElement0(esk14_0)
| aElementOf0(esk13_0,sdtasasdt0(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_68) ).
cnf(i_0_57,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xJ) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.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-u0i6o18g/input.p',i_0_44) ).
cnf(i_0_59,hypothesis,
aSet0(xJ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_59) ).
cnf(i_0_63,hypothesis,
aSet0(xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_63) ).
cnf(i_0_70,negated_conjecture,
( aElementOf0(X1,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X1,xJ) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_70) ).
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-u0i6o18g/input.p',i_0_53) ).
cnf(i_0_60,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_60) ).
cnf(i_0_67,negated_conjecture,
( aElementOf0(esk13_0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_67) ).
cnf(i_0_56,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_56) ).
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_26) ).
cnf(i_0_73,negated_conjecture,
aSet0(sdtasasdt0(xI,xJ)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_73) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_7) ).
cnf(i_0_13,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_13) ).
cnf(i_0_66,negated_conjecture,
( aElement0(esk14_0)
| ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_66) ).
cnf(i_0_65,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u0i6o18g/input.p',i_0_65) ).
cnf(c_0_95,negated_conjecture,
( aElementOf0(X1,xI)
| ~ aElementOf0(X1,sdtasasdt0(xI,xJ)) ),
i_0_72 ).
cnf(c_0_96,negated_conjecture,
aElementOf0(esk12_0,sdtasasdt0(xI,xJ)),
i_0_69 ).
cnf(c_0_97,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
i_0_61 ).
cnf(c_0_98,negated_conjecture,
aElementOf0(esk12_0,xI),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( aElementOf0(X1,xJ)
| ~ aElementOf0(X1,sdtasasdt0(xI,xJ)) ),
i_0_71 ).
cnf(c_0_100,plain,
( aElementOf0(X1,X2)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_45 ).
cnf(c_0_101,negated_conjecture,
( aElementOf0(sdtasdt0(X1,esk12_0),xI)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( aElement0(esk14_0)
| aElementOf0(esk13_0,sdtasasdt0(xI,xJ)) ),
i_0_68 ).
cnf(c_0_103,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xJ) ),
i_0_57 ).
cnf(c_0_104,negated_conjecture,
aElementOf0(esk12_0,xJ),
inference(spm,[status(thm)],[c_0_99,c_0_96]) ).
cnf(c_0_105,plain,
( aElementOf0(X1,X2)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_44 ).
cnf(c_0_106,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( aElementOf0(esk13_0,sdtasasdt0(xI,xJ))
| aElementOf0(sdtasdt0(esk14_0,esk12_0),xI) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,hypothesis,
aSet0(xJ),
i_0_59 ).
cnf(c_0_109,hypothesis,
aSet0(xI),
i_0_63 ).
cnf(c_0_110,negated_conjecture,
( aElementOf0(sdtasdt0(X1,esk12_0),xJ)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X3,X2))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( aElementOf0(X1,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X1,xJ) ),
i_0_70 ).
cnf(c_0_113,plain,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)
| aElementOf0(esk13_0,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_114,negated_conjecture,
( aElementOf0(esk13_0,sdtasasdt0(xI,xJ))
| aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ) ),
inference(spm,[status(thm)],[c_0_110,c_0_102]) ).
cnf(c_0_115,plain,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)
| aElementOf0(esk13_0,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_107]),c_0_109]),c_0_108])]) ).
cnf(c_0_116,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| aElementOf0(esk13_0,xI)
| ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_117,plain,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)
| aElementOf0(esk13_0,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_114]),c_0_108]),c_0_109])]) ).
cnf(c_0_118,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| aElementOf0(esk13_0,xJ)
| ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ) ),
inference(spm,[status(thm)],[c_0_112,c_0_115]) ).
cnf(c_0_119,plain,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)
| aElementOf0(esk13_0,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_114]),c_0_109]),c_0_108])]) ).
cnf(c_0_120,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(X3)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,X3) ),
i_0_53 ).
cnf(c_0_121,hypothesis,
aIdeal0(xI),
i_0_60 ).
cnf(c_0_122,negated_conjecture,
( aElementOf0(esk13_0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)) ),
i_0_67 ).
cnf(c_0_123,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| aElementOf0(esk13_0,xI) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_124,hypothesis,
aIdeal0(xJ),
i_0_56 ).
cnf(c_0_125,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| aElementOf0(esk13_0,xJ) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_126,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_127,negated_conjecture,
aSet0(sdtasasdt0(xI,xJ)),
i_0_73 ).
cnf(c_0_128,negated_conjecture,
( aElementOf0(sdtpldt0(X1,esk12_0),xI)
| ~ aElementOf0(X1,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_98]),c_0_121])]) ).
cnf(c_0_129,negated_conjecture,
aElementOf0(esk13_0,xI),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_95]) ).
cnf(c_0_130,negated_conjecture,
( aElementOf0(sdtpldt0(X1,esk12_0),xJ)
| ~ aElementOf0(X1,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_104]),c_0_124])]) ).
cnf(c_0_131,negated_conjecture,
aElementOf0(esk13_0,xJ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_125]),c_0_99]) ).
cnf(c_0_132,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_7 ).
cnf(c_0_133,negated_conjecture,
aElement0(esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_96]),c_0_127])]) ).
cnf(c_0_134,negated_conjecture,
aElementOf0(sdtpldt0(esk13_0,esk12_0),xI),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_135,negated_conjecture,
aElementOf0(sdtpldt0(esk13_0,esk12_0),xJ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( sdtpldt0(esk12_0,X1) = sdtpldt0(X1,esk12_0)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,plain,
aElement0(esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_131]),c_0_108])]) ).
cnf(c_0_138,negated_conjecture,
aElementOf0(sdtpldt0(esk13_0,esk12_0),sdtasasdt0(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_134]),c_0_135])]) ).
cnf(c_0_139,plain,
sdtpldt0(esk13_0,esk12_0) = sdtpldt0(esk12_0,esk13_0),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_13 ).
cnf(c_0_141,negated_conjecture,
( aElement0(esk14_0)
| ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)) ),
i_0_66 ).
cnf(c_0_142,negated_conjecture,
aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)),
inference(rw,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( sdtasdt0(esk12_0,X1) = sdtasdt0(X1,esk12_0)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_133]) ).
cnf(c_0_144,negated_conjecture,
aElement0(esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).
cnf(c_0_145,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)) ),
i_0_65 ).
cnf(c_0_146,negated_conjecture,
sdtasdt0(esk14_0,esk12_0) = sdtasdt0(esk12_0,esk14_0),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_147,negated_conjecture,
~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_142])]) ).
cnf(c_0_148,negated_conjecture,
aElementOf0(sdtasdt0(esk12_0,esk14_0),xI),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_144]),c_0_146]) ).
cnf(c_0_149,negated_conjecture,
~ aElementOf0(sdtasdt0(esk12_0,esk14_0),sdtasasdt0(xI,xJ)),
inference(rw,[status(thm)],[c_0_147,c_0_146]) ).
cnf(c_0_150,negated_conjecture,
~ aElementOf0(sdtasdt0(esk12_0,esk14_0),xJ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_148]),c_0_149]) ).
cnf(c_0_151,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_144]),c_0_146]),c_0_150]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.28 % Computer : n025.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon May 30 04:45:28 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.13/0.37 # ENIGMATIC: Selected complete mode:
% 17.30/3.78 # ENIGMATIC: Solved by autoschedule:
% 17.30/3.78 # No SInE strategy applied
% 17.30/3.78 # Trying AutoSched0 for 150 seconds
% 17.30/3.78 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 17.30/3.78 # and selection function SelectCQArNTNpEqFirst.
% 17.30/3.78 #
% 17.30/3.78 # Preprocessing time : 0.024 s
% 17.30/3.78 # Presaturation interreduction done
% 17.30/3.78
% 17.30/3.78 # Proof found!
% 17.30/3.78 # SZS status Theorem
% 17.30/3.78 # SZS output start CNFRefutation
% See solution above
% 17.30/3.78 # Training examples: 0 positive, 0 negative
% 17.30/3.78
% 17.30/3.78 # -------------------------------------------------
% 17.30/3.78 # User time : 0.881 s
% 17.30/3.78 # System time : 0.069 s
% 17.30/3.78 # Total time : 0.950 s
% 17.30/3.78 # Maximum resident set size: 7116 pages
% 17.30/3.78
%------------------------------------------------------------------------------