TSTP Solution File: NUM462+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM462+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:36:15 EDT 2022
% Result : Theorem 8.75s 2.49s
% Output : CNFRefutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 43 ( 16 unt; 6 nHn; 43 RR)
% Number of literals : 120 ( 36 equ; 75 neg)
% Maximal clause size : 6 ( 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; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-8klsehx1/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-8klsehx1/input.p',i_0_5) ).
cnf(i_0_30,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.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/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_31) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_18) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_6) ).
cnf(i_0_44,hypothesis,
sdtlseqdt0(xl,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_44) ).
cnf(i_0_41,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_41) ).
cnf(i_0_42,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_42) ).
cnf(i_0_47,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_47) ).
cnf(i_0_43,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_43) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_11) ).
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_22) ).
cnf(i_0_46,hypothesis,
sz00 != xm,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_46) ).
cnf(i_0_45,hypothesis,
xn != xl,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8klsehx1/input.p',i_0_45) ).
cnf(c_0_63,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_64,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_65,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
i_0_30 ).
cnf(c_0_66,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
i_0_31 ).
cnf(c_0_67,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_63]),c_0_64]) ).
cnf(c_0_68,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_18 ).
cnf(c_0_69,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_70,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_71,hypothesis,
sdtlseqdt0(xl,xn),
i_0_44 ).
cnf(c_0_72,hypothesis,
aNaturalNumber0(xn),
i_0_41 ).
cnf(c_0_73,hypothesis,
aNaturalNumber0(xl),
i_0_42 ).
cnf(c_0_74,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_75,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_69]) ).
cnf(c_0_76,hypothesis,
sdtpldt0(xl,sdtmndt0(xn,xl)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_77,hypothesis,
aNaturalNumber0(sdtmndt0(xn,xl)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_71]),c_0_73]),c_0_72])]) ).
cnf(c_0_78,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ),
i_0_47 ).
cnf(c_0_79,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,xl),sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_73])]) ).
cnf(c_0_80,hypothesis,
aNaturalNumber0(xm),
i_0_43 ).
cnf(c_0_81,negated_conjecture,
( sdtasdt0(xn,xm) = sdtasdt0(xl,xm)
| sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(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_82,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_83,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xl,xm) = sdtasdt0(xm,xn)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_72]),c_0_80])]) ).
cnf(c_0_84,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_82]),c_0_73]),c_0_80])]) ).
cnf(c_0_85,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_86,hypothesis,
sdtasdt0(xm,xn) = sdtasdt0(xm,xl),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_79]),c_0_80])]) ).
cnf(c_0_87,hypothesis,
sz00 != xm,
i_0_46 ).
cnf(c_0_88,plain,
( xn = X1
| sdtasdt0(xm,xl) != sdtasdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_80]),c_0_72])]),c_0_87]) ).
cnf(c_0_89,hypothesis,
xn != xl,
i_0_45 ).
cnf(c_0_90,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_88]),c_0_73])]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM462+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 08:53:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.75/2.49 # ENIGMATIC: Solved by autoschedule:
% 8.75/2.49 # No SInE strategy applied
% 8.75/2.49 # Trying AutoSched0 for 150 seconds
% 8.75/2.49 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.75/2.49 # and selection function SelectCQArNTNpEqFirst.
% 8.75/2.49 #
% 8.75/2.49 # Preprocessing time : 0.024 s
% 8.75/2.49 # Presaturation interreduction done
% 8.75/2.49
% 8.75/2.49 # Proof found!
% 8.75/2.49 # SZS status Theorem
% 8.75/2.49 # SZS output start CNFRefutation
% See solution above
% 8.75/2.49 # Training examples: 0 positive, 0 negative
% 8.75/2.49
% 8.75/2.49 # -------------------------------------------------
% 8.75/2.49 # User time : 0.146 s
% 8.75/2.49 # System time : 0.008 s
% 8.75/2.49 # Total time : 0.154 s
% 8.75/2.49 # Maximum resident set size: 7120 pages
% 8.75/2.49
%------------------------------------------------------------------------------