TSTP Solution File: NUM516+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM516+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 08:36:52 EDT 2022
% Result : Theorem 9.01s 2.77s
% Output : CNFRefutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of clauses : 72 ( 42 unt; 4 nHn; 72 RR)
% Number of literals : 142 ( 59 equ; 72 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_22) ).
cnf(i_0_255,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_255) ).
cnf(i_0_235,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_235) ).
cnf(i_0_256,hypothesis,
aNaturalNumber0(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_256) ).
cnf(i_0_231,hypothesis,
sz00 != xr,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_231) ).
cnf(i_0_276,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_276) ).
cnf(i_0_281,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_281) ).
cnf(i_0_270,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_270) ).
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-8p8cw7sd/lgb.p',i_0_8) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_71) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_72) ).
cnf(i_0_258,hypothesis,
sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_258) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_7) ).
cnf(i_0_259,hypothesis,
aNaturalNumber0(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_259) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_73) ).
cnf(i_0_257,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_257) ).
cnf(i_0_262,hypothesis,
sdtsldt0(xn,xr) != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_262) ).
cnf(i_0_37,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_37) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_5) ).
cnf(i_0_20,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_20) ).
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-8p8cw7sd/lgb.p',i_0_19) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_2) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p8cw7sd/lgb.p',i_0_10) ).
cnf(c_0_306,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_307,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
i_0_255 ).
cnf(c_0_308,hypothesis,
aNaturalNumber0(xr),
i_0_235 ).
cnf(c_0_309,hypothesis,
aNaturalNumber0(esk18_0),
i_0_256 ).
cnf(c_0_310,hypothesis,
sz00 != xr,
i_0_231 ).
cnf(c_0_311,hypothesis,
( X1 = esk18_0
| sdtasdt0(xr,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]),c_0_309])]),c_0_310]) ).
cnf(c_0_312,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
i_0_276 ).
cnf(c_0_313,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
i_0_281 ).
cnf(c_0_314,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
i_0_270 ).
cnf(c_0_315,negated_conjecture,
sdtsldt0(xn,xr) = esk18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313])]) ).
cnf(c_0_316,negated_conjecture,
( sdtpldt0(sdtpldt0(esk18_0,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(esk18_0,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_315]),c_0_315]) ).
cnf(c_0_317,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_318,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_319,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_320,hypothesis,
sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn,
i_0_258 ).
cnf(c_0_321,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_322,hypothesis,
aNaturalNumber0(esk19_0),
i_0_259 ).
cnf(c_0_323,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(esk18_0,sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(esk18_0,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]),c_0_319]),c_0_309])]) ).
cnf(c_0_324,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_325,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
i_0_257 ).
cnf(c_0_326,hypothesis,
sdtsldt0(xn,xr) != xn,
i_0_262 ).
cnf(c_0_327,hypothesis,
sdtpldt0(esk19_0,sdtsldt0(xn,xr)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_313]),c_0_322])]) ).
cnf(c_0_328,plain,
( sdtpldt0(esk18_0,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(esk18_0,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_317]),c_0_318]),c_0_319]),c_0_324])]) ).
cnf(c_0_329,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_37 ).
cnf(c_0_330,hypothesis,
sdtlseqdt0(esk18_0,xn),
inference(rw,[status(thm)],[c_0_325,c_0_315]) ).
cnf(c_0_331,hypothesis,
esk18_0 != xn,
inference(rw,[status(thm)],[c_0_326,c_0_315]) ).
cnf(c_0_332,hypothesis,
sdtpldt0(esk19_0,esk18_0) = xn,
inference(rw,[status(thm)],[c_0_327,c_0_315]) ).
cnf(c_0_333,plain,
( sdtpldt0(esk18_0,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
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_328,c_0_329]),c_0_324]),c_0_309]),c_0_330])]),c_0_331]) ).
cnf(c_0_334,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_335,plain,
( sdtpldt0(esk19_0,sdtpldt0(esk18_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_317,c_0_332]),c_0_309]),c_0_322])]) ).
cnf(c_0_336,plain,
sdtpldt0(esk18_0,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_318]),c_0_319])]) ).
cnf(c_0_337,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_20 ).
cnf(c_0_338,hypothesis,
sdtpldt0(esk18_0,esk19_0) = xn,
inference(rw,[status(thm)],[c_0_320,c_0_315]) ).
cnf(c_0_339,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_19 ).
cnf(c_0_340,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_341,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_342,plain,
( sdtpldt0(esk19_0,sdtpldt0(xn,sdtpldt0(xm,xp))) = sdtpldt0(xn,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_343,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_336]),c_0_309])]) ).
cnf(c_0_344,plain,
( esk18_0 = X1
| sdtpldt0(esk19_0,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_332]),c_0_322]),c_0_309])]) ).
cnf(c_0_345,hypothesis,
sdtpldt0(esk19_0,xn) = sdtpldt0(xn,esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_338]),c_0_322])]) ).
cnf(c_0_346,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341])]) ).
cnf(c_0_347,plain,
sdtpldt0(esk19_0,sdtpldt0(xn,sdtpldt0(xm,xp))) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_334]),c_0_318]),c_0_319])]) ).
cnf(c_0_348,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_334]),c_0_318]),c_0_319])]) ).
cnf(c_0_349,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_350,plain,
sdtpldt0(xn,esk19_0) != xn,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_324])]),c_0_331]) ).
cnf(c_0_351,plain,
esk19_0 = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]),c_0_322])]) ).
cnf(c_0_352,plain,
sdtpldt0(xn,sz00) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_349]),c_0_332]),c_0_341]),c_0_309])]) ).
cnf(c_0_353,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_351]),c_0_352])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : NUM516+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Tue Jul 5 14:42:39 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 9.01/2.77 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.01/2.77 # No SInE strategy applied
% 9.01/2.77 # Trying AutoSched0 for 150 seconds
% 9.01/2.77 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 9.01/2.77 # and selection function SelectCQIArNXTEqFirst.
% 9.01/2.77 #
% 9.01/2.77 # Preprocessing time : 0.024 s
% 9.01/2.77 # Presaturation interreduction done
% 9.01/2.77
% 9.01/2.77 # Proof found!
% 9.01/2.77 # SZS status Theorem
% 9.01/2.77 # SZS output start CNFRefutation
% See solution above
% 9.01/2.77 # Training examples: 0 positive, 0 negative
% 9.01/2.77
% 9.01/2.77 # -------------------------------------------------
% 9.01/2.77 # User time : 0.044 s
% 9.01/2.77 # System time : 0.011 s
% 9.01/2.77 # Total time : 0.055 s
% 9.01/2.77 # Maximum resident set size: 7128 pages
% 9.01/2.77
%------------------------------------------------------------------------------