TSTP Solution File: NUM459+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM459+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:36:14 EDT 2022
% Result : Theorem 8.58s 2.45s
% Output : CNFRefutation 8.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of clauses : 66 ( 28 unt; 0 nHn; 66 RR)
% Number of literals : 152 ( 50 equ; 89 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_8) ).
cnf(i_0_37,negated_conjecture,
sdtpldt0(xn,esk3_0) = xm,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_37) ).
cnf(i_0_38,negated_conjecture,
aNaturalNumber0(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_38) ).
cnf(i_0_33,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_33) ).
cnf(i_0_27,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_27) ).
cnf(i_0_32,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_32) ).
cnf(i_0_28,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_28) ).
cnf(i_0_20,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_20) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_10) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_2) ).
cnf(i_0_34,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_34) ).
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_5) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_7) ).
cnf(i_0_40,negated_conjecture,
sdtpldt0(xm,esk2_0) = xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_40) ).
cnf(i_0_41,negated_conjecture,
aNaturalNumber0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_41) ).
cnf(i_0_19,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_19) ).
cnf(i_0_35,negated_conjecture,
xn != xm,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_35) ).
cnf(i_0_23,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ut2z74s/input.p',i_0_23) ).
cnf(c_0_61,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_62,negated_conjecture,
sdtpldt0(xn,esk3_0) = xm,
i_0_37 ).
cnf(c_0_63,negated_conjecture,
aNaturalNumber0(esk3_0),
i_0_38 ).
cnf(c_0_64,hypothesis,
aNaturalNumber0(xn),
i_0_33 ).
cnf(c_0_65,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_66,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
i_0_32 ).
cnf(c_0_67,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(esk3_0,X1)) = sdtpldt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64])]) ).
cnf(c_0_68,plain,
( sdtpldt0(X1,esk1_2(X1,X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_70,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_20 ).
cnf(c_0_71,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_72,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_73,negated_conjecture,
( sdtpldt0(xm,esk1_2(esk3_0,esk3_0)) = xm
| ~ aNaturalNumber0(esk1_2(esk3_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_62]),c_0_63])]) ).
cnf(c_0_74,plain,
( aNaturalNumber0(esk1_2(X1,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_66]) ).
cnf(c_0_75,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_76,plain,
sdtpldt0(xm,esk1_2(esk3_0,esk3_0)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_63])]) ).
cnf(c_0_77,hypothesis,
aNaturalNumber0(xm),
i_0_34 ).
cnf(c_0_78,plain,
( esk1_2(esk3_0,esk3_0) = sz00
| ~ aNaturalNumber0(esk1_2(esk3_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_79,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_80,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_81,plain,
esk1_2(esk3_0,esk3_0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_74]),c_0_63])]) ).
cnf(c_0_82,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_79]),c_0_80]) ).
cnf(c_0_83,plain,
( aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_61]),c_0_80]) ).
cnf(c_0_84,plain,
sdtpldt0(esk3_0,sz00) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_81]),c_0_63])]) ).
cnf(c_0_85,plain,
( sdtlseqdt0(xn,sdtpldt0(xm,X1))
| ~ aNaturalNumber0(sdtpldt0(esk3_0,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_67]),c_0_64])]) ).
cnf(c_0_86,plain,
( aNaturalNumber0(sdtpldt0(X1,esk3_0))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_72]),c_0_63])]) ).
cnf(c_0_87,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_88,plain,
( sdtlseqdt0(xn,sdtpldt0(xm,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_63])]) ).
cnf(c_0_89,negated_conjecture,
sdtpldt0(xm,esk2_0) = xn,
i_0_40 ).
cnf(c_0_90,negated_conjecture,
aNaturalNumber0(esk2_0),
i_0_41 ).
cnf(c_0_91,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_19 ).
cnf(c_0_92,plain,
( aNaturalNumber0(sdtpldt0(esk3_0,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_63])]) ).
cnf(c_0_93,negated_conjecture,
sdtlseqdt0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_94,negated_conjecture,
( X1 = xm
| sdtpldt0(X1,esk2_0) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_89]),c_0_90]),c_0_77])]) ).
cnf(c_0_95,plain,
( sdtpldt0(esk3_0,X1) = sz00
| sdtpldt0(xm,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_67]),c_0_64])]),c_0_92]) ).
cnf(c_0_96,plain,
sdtpldt0(xn,esk1_2(xn,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_93]),c_0_64])]) ).
cnf(c_0_97,plain,
aNaturalNumber0(esk1_2(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_93]),c_0_64])]) ).
cnf(c_0_98,plain,
( sdtpldt0(X1,X2) = xm
| sdtpldt0(X1,sdtpldt0(X2,esk2_0)) != xn
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_61]),c_0_90])]),c_0_80]) ).
cnf(c_0_99,negated_conjecture,
( sdtpldt0(xm,sdtpldt0(esk2_0,X1)) = sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_89]),c_0_90]),c_0_77])]) ).
cnf(c_0_100,negated_conjecture,
xn != xm,
i_0_35 ).
cnf(c_0_101,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_23 ).
cnf(c_0_102,negated_conjecture,
sdtpldt0(esk3_0,esk2_0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_89]),c_0_90])]) ).
cnf(c_0_103,plain,
esk1_2(xn,xn) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_96]),c_0_64]),c_0_97])]) ).
cnf(c_0_104,negated_conjecture,
sdtpldt0(xn,esk2_0) != xn,
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_98,c_0_99]),c_0_89]),c_0_90]),c_0_77])]),c_0_100]) ).
cnf(c_0_105,plain,
esk2_0 = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_63]),c_0_90])]) ).
cnf(c_0_106,plain,
sdtpldt0(xn,sz00) = xn,
inference(rw,[status(thm)],[c_0_96,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM459+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 17:03:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.58/2.45 # ENIGMATIC: Solved by autoschedule:
% 8.58/2.45 # No SInE strategy applied
% 8.58/2.45 # Trying AutoSched0 for 150 seconds
% 8.58/2.45 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.58/2.45 # and selection function SelectCQArNTNpEqFirst.
% 8.58/2.45 #
% 8.58/2.45 # Preprocessing time : 0.013 s
% 8.58/2.45 # Presaturation interreduction done
% 8.58/2.45
% 8.58/2.45 # Proof found!
% 8.58/2.45 # SZS status Theorem
% 8.58/2.45 # SZS output start CNFRefutation
% See solution above
% 8.58/2.45 # Training examples: 0 positive, 0 negative
% 8.58/2.45
% 8.58/2.45 # -------------------------------------------------
% 8.58/2.45 # User time : 0.166 s
% 8.58/2.45 # System time : 0.009 s
% 8.58/2.45 # Total time : 0.174 s
% 8.58/2.45 # Maximum resident set size: 7120 pages
% 8.58/2.45
%------------------------------------------------------------------------------