TSTP Solution File: NUM621+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM621+1 : 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 08:38:00 EDT 2022
% Result : Theorem 13.87s 2.63s
% Output : CNFRefutation 13.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of clauses : 87 ( 42 unt; 14 nHn; 87 RR)
% Number of literals : 182 ( 50 equ; 91 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_77,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_77) ).
cnf(i_0_206,hypothesis,
szmzizndt0(xQ) = xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_206) ).
cnf(i_0_204,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_204) ).
cnf(i_0_202,hypothesis,
slcrc0 != xQ,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_202) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_14) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_45) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_15) ).
cnf(i_0_203,hypothesis,
aSubsetOf0(xQ,xO),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_203) ).
cnf(i_0_194,hypothesis,
aSet0(xO),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_194) ).
cnf(i_0_60,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_60) ).
cnf(i_0_209,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_209) ).
cnf(i_0_211,hypothesis,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_211) ).
cnf(i_0_224,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_224) ).
cnf(i_0_219,hypothesis,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_219) ).
cnf(i_0_227,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_227) ).
cnf(i_0_167,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_167) ).
cnf(i_0_78,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_78) ).
cnf(i_0_223,hypothesis,
aElementOf0(xm,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_223) ).
cnf(i_0_184,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_184) ).
cnf(i_0_34,plain,
( X1 != X2
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_34) ).
cnf(i_0_207,hypothesis,
sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_207) ).
cnf(i_0_215,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_215) ).
cnf(i_0_216,hypothesis,
aElementOf0(xn,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_216) ).
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_7) ).
cnf(i_0_11,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_11) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_3) ).
cnf(i_0_210,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_210) ).
cnf(i_0_166,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dy0ws5xq/input.p',i_0_166) ).
cnf(c_0_256,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_77 ).
cnf(c_0_257,plain,
( X1 = slcrc0
| sdtlseqdt0(szmzizndt0(X1),X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(er,[status(thm)],[c_0_256]) ).
cnf(c_0_258,hypothesis,
szmzizndt0(xQ) = xp,
i_0_206 ).
cnf(c_0_259,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
i_0_204 ).
cnf(c_0_260,hypothesis,
slcrc0 != xQ,
i_0_202 ).
cnf(c_0_261,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_262,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_263,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_264,hypothesis,
aSubsetOf0(xQ,xO),
i_0_203 ).
cnf(c_0_265,hypothesis,
aSet0(xO),
i_0_194 ).
cnf(c_0_266,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_267,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259])]),c_0_260]) ).
cnf(c_0_268,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_259]),c_0_262])]) ).
cnf(c_0_269,hypothesis,
aElementOf0(xp,xQ),
i_0_209 ).
cnf(c_0_270,hypothesis,
aSubsetOf0(xP,xQ),
i_0_211 ).
cnf(c_0_271,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265])]) ).
cnf(c_0_272,plain,
( X1 = xp
| ~ sdtlseqdt0(X1,xp)
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_273,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_274,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
i_0_224 ).
cnf(c_0_275,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_270]),c_0_271])]) ).
cnf(c_0_276,hypothesis,
aElementOf0(xx,xP),
i_0_219 ).
cnf(c_0_277,plain,
( X1 = xp
| ~ sdtlseqdt0(X1,xp)
| ~ aElementOf0(X1,xQ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_273])]),c_0_268]) ).
cnf(c_0_278,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| sdtlseqdt0(xx,X1)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(spm,[status(thm)],[c_0_257,c_0_274]) ).
cnf(c_0_279,hypothesis,
aElementOf0(xx,xQ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_280,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
i_0_227 ).
cnf(c_0_281,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_167 ).
cnf(c_0_282,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_78 ).
cnf(c_0_283,plain,
( sdtlpdtrp0(xN,xm) = slcrc0
| xp = xx
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279])]) ).
cnf(c_0_284,hypothesis,
aElementOf0(xm,szNzAzT0),
i_0_223 ).
cnf(c_0_285,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(spm,[status(thm)],[c_0_261,c_0_280]) ).
cnf(c_0_286,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_281]),c_0_262])]) ).
cnf(c_0_287,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_282]) ).
cnf(c_0_288,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_184 ).
cnf(c_0_289,plain,
( X1 != X2
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_34 ).
cnf(c_0_290,hypothesis,
sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
i_0_207 ).
cnf(c_0_291,hypothesis,
( sdtlpdtrp0(xN,xm) = slcrc0
| xp = xx
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_281]),c_0_284])]) ).
cnf(c_0_292,plain,
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_284])]) ).
cnf(c_0_293,hypothesis,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_281]) ).
cnf(c_0_294,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
i_0_215 ).
cnf(c_0_295,hypothesis,
aElementOf0(xn,szNzAzT0),
i_0_216 ).
cnf(c_0_296,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_297,plain,
( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_289])]) ).
cnf(c_0_298,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_290,c_0_258]) ).
cnf(c_0_299,plain,
( sdtlpdtrp0(xN,xm) = slcrc0
| xp = xx
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_300,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295])]) ).
cnf(c_0_301,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
i_0_11 ).
cnf(c_0_302,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_296]) ).
cnf(c_0_303,hypothesis,
( ~ aElement0(xp)
| ~ aElementOf0(xp,xP)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_304,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_305,hypothesis,
aElementOf0(xp,xO),
i_0_210 ).
cnf(c_0_306,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_166 ).
cnf(c_0_307,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| sdtlpdtrp0(xN,xm) = slcrc0
| xp = xx ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_308,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_301]),c_0_302])]) ).
cnf(c_0_309,hypothesis,
( ~ aElement0(xp)
| ~ aElementOf0(xp,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_271])]) ).
cnf(c_0_310,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_265])]) ).
cnf(c_0_311,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| xp = xx ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_284])]),c_0_308]) ).
cnf(c_0_312,hypothesis,
~ aElementOf0(xp,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_310])]) ).
cnf(c_0_313,hypothesis,
xp = xx,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_311]),c_0_295])]),c_0_308]) ).
cnf(c_0_314,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_313]),c_0_276])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM621+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : Thu Jul 7 00:03:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 13.87/2.63 # ENIGMATIC: Solved by autoschedule:
% 13.87/2.63 # No SInE strategy applied
% 13.87/2.63 # Trying AutoSched0 for 150 seconds
% 13.87/2.63 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 13.87/2.63 # and selection function SelectMaxLComplexAvoidPosPred.
% 13.87/2.63 #
% 13.87/2.63 # Preprocessing time : 0.030 s
% 13.87/2.63 # Presaturation interreduction done
% 13.87/2.63
% 13.87/2.63 # Proof found!
% 13.87/2.63 # SZS status Theorem
% 13.87/2.63 # SZS output start CNFRefutation
% See solution above
% 13.87/2.63 # Training examples: 0 positive, 0 negative
% 13.87/2.63
% 13.87/2.63 # -------------------------------------------------
% 13.87/2.63 # User time : 0.133 s
% 13.87/2.63 # System time : 0.014 s
% 13.87/2.63 # Total time : 0.147 s
% 13.87/2.63 # Maximum resident set size: 7116 pages
% 13.87/2.63
%------------------------------------------------------------------------------