TSTP Solution File: NUM461+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM461+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 8.89s 2.42s
% Output : CNFRefutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 15 unt; 7 nHn; 36 RR)
% Number of literals : 97 ( 41 equ; 56 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 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/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_8) ).
cnf(i_0_40,hypothesis,
sdtpldt0(xl,esk2_0) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_40) ).
cnf(i_0_41,hypothesis,
aNaturalNumber0(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_41) ).
cnf(i_0_38,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_38) ).
cnf(i_0_47,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sdtpldt0(sdtpldt0(xl,xm),X1) != sdtpldt0(xn,xm)
| sdtpldt0(sdtpldt0(xm,xl),X2) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_47) ).
cnf(i_0_43,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_43) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_7) ).
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-57fnf3mz/input.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-57fnf3mz/input.p',i_0_5) ).
cnf(i_0_37,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_37) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_29) ).
cnf(i_0_42,hypothesis,
xn != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-57fnf3mz/input.p',i_0_42) ).
cnf(c_0_60,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_61,hypothesis,
sdtpldt0(xl,esk2_0) = xn,
i_0_40 ).
cnf(c_0_62,hypothesis,
aNaturalNumber0(esk2_0),
i_0_41 ).
cnf(c_0_63,hypothesis,
aNaturalNumber0(xl),
i_0_38 ).
cnf(c_0_64,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sdtpldt0(sdtpldt0(xl,xm),X1) != sdtpldt0(xn,xm)
| sdtpldt0(sdtpldt0(xm,xl),X2) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_65,hypothesis,
aNaturalNumber0(xm),
i_0_43 ).
cnf(c_0_66,hypothesis,
( sdtpldt0(xl,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_60,c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_67,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_68,negated_conjecture,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xl,sdtpldt0(xm,X1)) != sdtpldt0(xn,xm)
| sdtpldt0(sdtpldt0(xm,xl),X2) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_65]),c_0_63])]) ).
cnf(c_0_69,plain,
( sdtpldt0(xl,sdtpldt0(X1,esk2_0)) = sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_62])]) ).
cnf(c_0_70,plain,
( sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sdtpldt0(sdtpldt0(xm,xl),X1) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_62]),c_0_65])]) ).
cnf(c_0_71,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,sdtpldt0(xl,X1)) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_60]),c_0_63]),c_0_65])]) ).
cnf(c_0_72,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_73,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_74,hypothesis,
( sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_61]),c_0_62])]) ).
cnf(c_0_75,hypothesis,
aNaturalNumber0(xn),
i_0_37 ).
cnf(c_0_76,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
i_0_29 ).
cnf(c_0_77,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_73]) ).
cnf(c_0_78,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sdtpldt0(xl,xm) = sdtpldt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_74]),c_0_75]),c_0_65])]) ).
cnf(c_0_79,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_76]),c_0_73]),c_0_77]) ).
cnf(c_0_80,plain,
sdtpldt0(xm,xn) = sdtpldt0(xm,xl),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_78]),c_0_63]),c_0_65])]) ).
cnf(c_0_81,plain,
sdtmndt0(sdtpldt0(xm,xl),xm) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_65]),c_0_75])]) ).
cnf(c_0_82,hypothesis,
xn != xl,
i_0_42 ).
cnf(c_0_83,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_81]),c_0_65]),c_0_63])]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM461+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 18:57:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.89/2.42 # ENIGMATIC: Solved by autoschedule:
% 8.89/2.42 # No SInE strategy applied
% 8.89/2.42 # Trying AutoSched0 for 150 seconds
% 8.89/2.42 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.89/2.42 # and selection function SelectCQArNTNpEqFirst.
% 8.89/2.42 #
% 8.89/2.42 # Preprocessing time : 0.024 s
% 8.89/2.42 # Presaturation interreduction done
% 8.89/2.42
% 8.89/2.42 # Proof found!
% 8.89/2.42 # SZS status Theorem
% 8.89/2.42 # SZS output start CNFRefutation
% See solution above
% 8.89/2.42 # Training examples: 0 positive, 0 negative
% 8.89/2.42
% 8.89/2.42 # -------------------------------------------------
% 8.89/2.42 # User time : 0.079 s
% 8.89/2.42 # System time : 0.010 s
% 8.89/2.42 # Total time : 0.089 s
% 8.89/2.42 # Maximum resident set size: 7124 pages
% 8.89/2.42
%------------------------------------------------------------------------------