TSTP Solution File: NUM460+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM460+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 08:36:14 EDT 2022
% Result : Theorem 9.20s 2.54s
% Output : CNFRefutation 9.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 55 ( 27 unt; 0 nHn; 55 RR)
% Number of literals : 135 ( 35 equ; 82 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_30) ).
cnf(i_0_31,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_31) ).
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_5) ).
cnf(i_0_39,negated_conjecture,
sdtlseqdt0(xm,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_39) ).
cnf(i_0_35,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_35) ).
cnf(i_0_36,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_36) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_7) ).
cnf(i_0_19,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_19) ).
cnf(i_0_38,negated_conjecture,
sdtlseqdt0(xn,xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_38) ).
cnf(i_0_34,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_34) ).
cnf(i_0_27,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_27) ).
cnf(i_0_28,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_28) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_8) ).
cnf(i_0_37,negated_conjecture,
~ sdtlseqdt0(xm,xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qxpyb6vu/lgb.p',i_0_37) ).
cnf(c_0_55,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
i_0_30 ).
cnf(c_0_56,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
i_0_31 ).
cnf(c_0_57,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_58,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_59,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
sdtlseqdt0(xm,xn),
i_0_39 ).
cnf(c_0_61,hypothesis,
aNaturalNumber0(xn),
i_0_35 ).
cnf(c_0_62,hypothesis,
aNaturalNumber0(xm),
i_0_36 ).
cnf(c_0_63,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_64,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_57]),c_0_58]) ).
cnf(c_0_65,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_66,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_19 ).
cnf(c_0_67,negated_conjecture,
sdtpldt0(xm,sdtmndt0(xn,xm)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62])]) ).
cnf(c_0_68,negated_conjecture,
aNaturalNumber0(sdtmndt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_62]),c_0_61])]) ).
cnf(c_0_69,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
sdtlseqdt0(xn,xl),
i_0_38 ).
cnf(c_0_71,hypothesis,
aNaturalNumber0(xl),
i_0_34 ).
cnf(c_0_72,plain,
( X1 = xm
| sdtpldt0(X1,sdtmndt0(xn,xm)) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_62])]) ).
cnf(c_0_73,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_74,negated_conjecture,
sdtlseqdt0(sdtmndt0(xn,xm),xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_62]),c_0_68])]) ).
cnf(c_0_75,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_76,negated_conjecture,
sdtpldt0(xn,sdtmndt0(xl,xn)) = xl,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_70]),c_0_71]),c_0_61])]) ).
cnf(c_0_77,negated_conjecture,
aNaturalNumber0(sdtmndt0(xl,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_70]),c_0_61]),c_0_71])]) ).
cnf(c_0_78,plain,
( X1 = xm
| sdtpldt0(sdtmndt0(xn,xm),X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_65]),c_0_68])]) ).
cnf(c_0_79,plain,
sdtpldt0(sdtmndt0(xn,xm),esk1_2(sdtmndt0(xn,xm),xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_61]),c_0_68])]) ).
cnf(c_0_80,plain,
aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_74]),c_0_61]),c_0_68])]) ).
cnf(c_0_81,plain,
( X1 = xn
| sdtpldt0(X1,sdtmndt0(xl,xn)) != xl
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_76]),c_0_77]),c_0_61])]) ).
cnf(c_0_82,negated_conjecture,
sdtlseqdt0(sdtmndt0(xl,xn),xl),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_76]),c_0_61]),c_0_77])]) ).
cnf(c_0_83,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_84,plain,
esk1_2(sdtmndt0(xn,xm),xn) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_85,plain,
( X1 = xn
| sdtpldt0(sdtmndt0(xl,xn),X1) != xl
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_65]),c_0_77])]) ).
cnf(c_0_86,plain,
sdtpldt0(sdtmndt0(xl,xn),esk1_2(sdtmndt0(xl,xn),xl)) = xl,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_82]),c_0_71]),c_0_77])]) ).
cnf(c_0_87,plain,
aNaturalNumber0(esk1_2(sdtmndt0(xl,xn),xl)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_82]),c_0_71]),c_0_77])]) ).
cnf(c_0_88,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_83]),c_0_58]) ).
cnf(c_0_89,plain,
sdtpldt0(sdtmndt0(xn,xm),xm) = xn,
inference(rw,[status(thm)],[c_0_79,c_0_84]) ).
cnf(c_0_90,plain,
esk1_2(sdtmndt0(xl,xn),xl) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
cnf(c_0_91,plain,
( sdtlseqdt0(xm,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_62]),c_0_68])]) ).
cnf(c_0_92,plain,
sdtpldt0(sdtmndt0(xl,xn),xn) = xl,
inference(rw,[status(thm)],[c_0_86,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
~ sdtlseqdt0(xm,xl),
i_0_37 ).
cnf(c_0_94,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_77])]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM460+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n027.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 : Thu Jul 7 02:13:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.20/2.54 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.20/2.54 # No SInE strategy applied
% 9.20/2.54 # Trying AutoSched0 for 150 seconds
% 9.20/2.54 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 9.20/2.54 # and selection function SelectCQArNTNpEqFirst.
% 9.20/2.54 #
% 9.20/2.54 # Preprocessing time : 0.012 s
% 9.20/2.54 # Presaturation interreduction done
% 9.20/2.54
% 9.20/2.54 # Proof found!
% 9.20/2.54 # SZS status Theorem
% 9.20/2.54 # SZS output start CNFRefutation
% See solution above
% 9.20/2.54 # Training examples: 0 positive, 0 negative
% 9.20/2.54
% 9.20/2.54 # -------------------------------------------------
% 9.20/2.54 # User time : 0.192 s
% 9.20/2.54 # System time : 0.012 s
% 9.20/2.54 # Total time : 0.204 s
% 9.20/2.54 # Maximum resident set size: 7124 pages
% 9.20/2.54
%------------------------------------------------------------------------------