TSTP Solution File: NUM451+6 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM451+6 : 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 08:36:08 EDT 2022
% Result : Theorem 20.58s 4.03s
% Output : CNFRefutation 20.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 41
% Syntax : Number of clauses : 320 ( 95 unt; 68 nHn; 320 RR)
% Number of literals : 750 ( 322 equ; 371 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 247 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_23) ).
cnf(i_0_211,hypothesis,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_211) ).
cnf(i_0_216,hypothesis,
aInteger0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_216) ).
cnf(i_0_215,hypothesis,
xp != sz00,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_215) ).
cnf(i_0_212,hypothesis,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_212) ).
cnf(i_0_208,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_208) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_12) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_3) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_20) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_2) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_18) ).
cnf(i_0_207,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_207) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_11) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_4) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_10) ).
cnf(i_0_218,negated_conjecture,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_218) ).
cnf(i_0_210,hypothesis,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_210) ).
cnf(i_0_144,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_144) ).
cnf(i_0_138,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_138) ).
cnf(i_0_139,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_139) ).
cnf(i_0_5,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_5) ).
cnf(i_0_21,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_21) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_14) ).
cnf(i_0_13,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_13) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_16) ).
cnf(i_0_7,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_7) ).
cnf(i_0_6,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_6) ).
cnf(i_0_8,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_8) ).
cnf(i_0_24,plain,
( X1 = sz00
| aDivisorOf0(X1,X2)
| sdtasdt0(X1,X3) != X2
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_24) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_9) ).
cnf(i_0_15,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_15) ).
cnf(i_0_197,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_197) ).
cnf(i_0_28,plain,
( aInteger0(X1)
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_28) ).
cnf(i_0_19,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_19) ).
cnf(i_0_22,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_22) ).
cnf(i_0_29,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_29) ).
cnf(i_0_32,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_32) ).
cnf(i_0_94,plain,
( X1 = sz00
| aElementOf0(X2,X3)
| X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_94) ).
cnf(i_0_96,plain,
( X1 = sz00
| aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_96) ).
cnf(i_0_17,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_17) ).
cnf(i_0_222,negated_conjecture,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fr3cj23/input.p',i_0_222) ).
cnf(c_0_264,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_23 ).
cnf(c_0_265,hypothesis,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
i_0_211 ).
cnf(c_0_266,hypothesis,
aInteger0(xp),
i_0_216 ).
cnf(c_0_267,hypothesis,
xp != sz00,
i_0_215 ).
cnf(c_0_268,hypothesis,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
i_0_212 ).
cnf(c_0_269,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,X2) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_208 ).
cnf(c_0_270,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_271,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_272,hypothesis,
( esk26_1(X1) = sz00
| sdtpldt0(X1,smndt0(sz10)) != sz00
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266])]),c_0_267]),c_0_268]) ).
cnf(c_0_273,plain,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,X1) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271])]) ).
cnf(c_0_274,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
i_0_20 ).
cnf(c_0_275,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_276,hypothesis,
( sdtpldt0(X1,smndt0(sz10)) = sdtasdt0(xp,sz00)
| sdtpldt0(X1,smndt0(sz10)) != sz00
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(spm,[status(thm)],[c_0_265,c_0_272]) ).
cnf(c_0_277,plain,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]),c_0_266])]) ).
cnf(c_0_278,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_18 ).
cnf(c_0_279,plain,
sdtasdt0(xp,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_270]),c_0_277]),c_0_271])]) ).
cnf(c_0_280,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
i_0_207 ).
cnf(c_0_281,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
i_0_11 ).
cnf(c_0_282,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_283,plain,
( sdtasdt0(xp,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(xp,X1),sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_275]),c_0_266])]) ).
cnf(c_0_284,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
i_0_10 ).
cnf(c_0_285,negated_conjecture,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
i_0_218 ).
cnf(c_0_286,hypothesis,
( aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(smndt0(sz10)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]) ).
cnf(c_0_287,hypothesis,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
i_0_210 ).
cnf(c_0_288,plain,
( sdtpldt0(X1,sz00) = sz00
| sdtpldt0(sdtasdt0(xp,X1),sz00) != sz00
| ~ aInteger0(sdtpldt0(X1,sz00))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_283]),c_0_266])]),c_0_267]) ).
cnf(c_0_289,plain,
( sdtpldt0(sdtasdt0(xp,X1),sz00) = sdtasdt0(xp,X1)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_290,negated_conjecture,
( smndt0(smndt0(sz10)) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10
| ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_291,hypothesis,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_270]),c_0_271])]) ).
cnf(c_0_292,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
i_0_144 ).
cnf(c_0_293,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
i_0_138 ).
cnf(c_0_294,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
i_0_139 ).
cnf(c_0_295,plain,
( sdtpldt0(X1,sz00) = sz00
| sdtasdt0(xp,X1) != sz00
| ~ aInteger0(sdtpldt0(X1,sz00))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_296,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_5 ).
cnf(c_0_297,hypothesis,
( smndt0(smndt0(sz10)) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_298,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_299,hypothesis,
aElementOf0(smndt0(sz10),cS2076),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_293])]) ).
cnf(c_0_300,plain,
( sdtpldt0(X1,sz00) = sz00
| sdtasdt0(xp,X1) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_275])]) ).
cnf(c_0_301,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_21 ).
cnf(c_0_302,hypothesis,
( smndt0(smndt0(sz10)) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299])]) ).
cnf(c_0_303,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_14 ).
cnf(c_0_304,plain,
( sdtpldt0(smndt0(sz10),sz00) = sz00
| smndt0(xp) != sz00
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_266])]) ).
cnf(c_0_305,hypothesis,
( smndt0(smndt0(sz10)) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_277])]) ).
cnf(c_0_306,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_13 ).
cnf(c_0_307,plain,
sdtasdt0(sz00,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_279]),c_0_266]),c_0_275])]) ).
cnf(c_0_308,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
i_0_16 ).
cnf(c_0_309,plain,
( sdtpldt0(sdtasdt0(xp,smndt0(sz10)),sz00) = sz00
| smndt0(xp) != sz00
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_304]),c_0_279]) ).
cnf(c_0_310,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_7 ).
cnf(c_0_311,plain,
( sdtpldt0(smndt0(sz10),smndt0(sz10)) = sz00
| smndt0(smndt0(sz10)) = sz10
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_270,c_0_305]) ).
cnf(c_0_312,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_6 ).
cnf(c_0_313,plain,
( sdtasdt0(sz00,sdtasdt0(xp,X1)) = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_266]),c_0_275])]) ).
cnf(c_0_314,plain,
sdtpldt0(xp,sz00) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_308]),c_0_271]),c_0_266])]) ).
cnf(c_0_315,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_8 ).
cnf(c_0_316,plain,
( sdtpldt0(smndt0(xp),sz00) = sz00
| smndt0(xp) != sz00
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_301]),c_0_266])]) ).
cnf(c_0_317,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_270]),c_0_282]) ).
cnf(c_0_318,hypothesis,
( sdtpldt0(smndt0(sz10),smndt0(sz10)) = sz00
| smndt0(smndt0(sz10)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_298]),c_0_299])]) ).
cnf(c_0_319,plain,
( X1 = sz00
| aDivisorOf0(X1,X2)
| sdtasdt0(X1,X3) != X2
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
i_0_24 ).
cnf(c_0_320,plain,
( aInteger0(sdtasdt0(sz00,X1))
| ~ aInteger0(sdtasdt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_275])]) ).
cnf(c_0_321,plain,
( sdtpldt0(xp,sdtpldt0(sz00,X1)) = sdtpldt0(xp,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_314]),c_0_275]),c_0_266])]) ).
cnf(c_0_322,plain,
( sdtpldt0(sz00,smndt0(xp)) = sz00
| smndt0(xp) != sz00
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_275])]) ).
cnf(c_0_323,hypothesis,
( sdtpldt0(sz00,smndt0(sz10)) = sdtpldt0(sz10,sz00)
| smndt0(smndt0(sz10)) = sz10
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_271])]) ).
cnf(c_0_324,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_319]),c_0_312]) ).
cnf(c_0_325,plain,
( aInteger0(sdtasdt0(sz00,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_312]),c_0_266])]) ).
cnf(c_0_326,plain,
( sdtpldt0(xp,smndt0(xp)) = xp
| smndt0(xp) != sz00
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_314]) ).
cnf(c_0_327,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
i_0_9 ).
cnf(c_0_328,hypothesis,
( sdtpldt0(sz00,smndt0(sz10)) = sdtpldt0(sz10,sz00)
| smndt0(smndt0(sz10)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_298]),c_0_299])]) ).
cnf(c_0_329,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,sdtasdt0(sz00,X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_330,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_306]),c_0_275])]),c_0_312]) ).
cnf(c_0_331,plain,
( smndt0(xp) != sz00
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_326]),c_0_266])]),c_0_267]) ).
cnf(c_0_332,plain,
( sdtpldt0(sz10,sz00) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_333,plain,
( aInteger0(sdtpldt0(xp,X1))
| ~ aInteger0(sdtpldt0(sz00,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_321]),c_0_266])]) ).
cnf(c_0_334,plain,
( X1 = sz00
| aDivisorOf0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_275])]) ).
cnf(c_0_335,plain,
( smndt0(xp) != sz00
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_282]),c_0_266])]) ).
cnf(c_0_336,hypothesis,
( sdtpldt0(sz10,sz00) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_298]),c_0_299])]) ).
cnf(c_0_337,plain,
( aInteger0(sdtpldt0(X1,xp))
| ~ aInteger0(sdtpldt0(sz00,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_315]),c_0_266])]) ).
cnf(c_0_338,plain,
( smndt0(X1) = sz00
| aDivisorOf0(smndt0(X1),sz00)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_334,c_0_282]) ).
cnf(c_0_339,hypothesis,
smndt0(xp) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_298]),c_0_299])]) ).
cnf(c_0_340,plain,
( sdtpldt0(sz10,sz00) = smndt0(sz10)
| sdtpldt0(smndt0(sz10),sz10) = sz00
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_270,c_0_336]) ).
cnf(c_0_341,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aInteger0(X1) ),
i_0_15 ).
cnf(c_0_342,plain,
( aInteger0(sdtpldt0(X1,xp))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_337,c_0_327]) ).
cnf(c_0_343,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
i_0_197 ).
cnf(c_0_344,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_310]),c_0_296]) ).
cnf(c_0_345,plain,
( aInteger0(X1)
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
i_0_28 ).
cnf(c_0_346,hypothesis,
aDivisorOf0(smndt0(xp),sz00),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_266]),c_0_339]) ).
cnf(c_0_347,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aInteger0(X1) ),
i_0_19 ).
cnf(c_0_348,hypothesis,
( sdtpldt0(smndt0(sz10),sz10) = sz00
| sdtpldt0(sz10,sz00) = smndt0(sz10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_298]),c_0_299])]) ).
cnf(c_0_349,plain,
( sz10 = sz00
| aDivisorOf0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_341]),c_0_271])]) ).
cnf(c_0_350,plain,
( aInteger0(sdtpldt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_315]),c_0_266])]) ).
cnf(c_0_351,hypothesis,
( aElementOf0(X1,cS2076)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(rw,[status(thm)],[c_0_343,c_0_293]) ).
cnf(c_0_352,plain,
( X1 = sz00
| sdtasdt0(xp,X1) != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_295,c_0_284]) ).
cnf(c_0_353,plain,
( sdtpldt0(xp,smndt0(xp)) = sz00
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_344]),c_0_314]),c_0_314]),c_0_275]),c_0_266])]) ).
cnf(c_0_354,plain,
aInteger0(smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_275])]) ).
cnf(c_0_355,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_301]),c_0_275])]) ).
cnf(c_0_356,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,sz00) = smndt0(sz10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_348]),c_0_271])]) ).
cnf(c_0_357,plain,
( sz10 = sz00
| aDivisorOf0(sz10,sdtpldt0(xp,X1))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_358,hypothesis,
( aElementOf0(smndt0(smndt0(sz10)),cS2076)
| ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_351,c_0_286]) ).
cnf(c_0_359,hypothesis,
aDivisorOf0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_277])]) ).
cnf(c_0_360,plain,
( X1 = sz00
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_303]),c_0_266])]) ).
cnf(c_0_361,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_281]),c_0_282]) ).
cnf(c_0_362,plain,
sdtpldt0(xp,smndt0(xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_354])]) ).
cnf(c_0_363,hypothesis,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_298]),c_0_299])]) ).
cnf(c_0_364,plain,
( sdtpldt0(sz10,sz00) = smndt0(sz10)
| sdtpldt0(sz00,sz10) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_356]),c_0_271])]) ).
cnf(c_0_365,hypothesis,
( sz10 = sz00
| aDivisorOf0(sz10,sdtpldt0(xp,X1))
| ~ aElementOf0(X1,cS2076) ),
inference(spm,[status(thm)],[c_0_357,c_0_298]) ).
cnf(c_0_366,hypothesis,
( aElementOf0(smndt0(smndt0(sz10)),cS2076)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_359])]) ).
cnf(c_0_367,plain,
( sdtasdt0(X1,X2) = sz00
| sdtasdt0(X1,sdtasdt0(X2,xp)) != sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_306]),c_0_266])]),c_0_312]) ).
cnf(c_0_368,plain,
sdtpldt0(smndt0(xp),sz00) = sdtpldt0(sz00,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_354]),c_0_266])]) ).
cnf(c_0_369,plain,
( sdtasdt0(xp,sdtasdt0(sz00,X1)) = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_279]),c_0_275]),c_0_266])]) ).
cnf(c_0_370,hypothesis,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_363]),c_0_275])]) ).
cnf(c_0_371,plain,
( sdtpldt0(sz00,sz10) = smndt0(sz10)
| sdtpldt0(sz00,sz10) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_364]),c_0_275]),c_0_271])]) ).
cnf(c_0_372,plain,
( sdtpldt0(sz00,sz10) = sz10
| smndt0(sz10) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_364]),c_0_271])]) ).
cnf(c_0_373,hypothesis,
( sz10 = sz00
| aDivisorOf0(sz10,sdtpldt0(xp,smndt0(smndt0(sz10))))
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_374,plain,
( sdtasdt0(X1,X2) = sz00
| sdtasdt0(X1,sdtasdt0(xp,X2)) != sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_303]),c_0_266])]) ).
cnf(c_0_375,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_306]),c_0_312]) ).
cnf(c_0_376,plain,
( sdtasdt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz00,X1),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_347]),c_0_275])]) ).
cnf(c_0_377,plain,
sdtpldt0(sz00,smndt0(xp)) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_368]),c_0_354])]) ).
cnf(c_0_378,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_330]),c_0_275]),c_0_266])]) ).
cnf(c_0_379,plain,
sdtpldt0(smndt0(xp),xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_314]),c_0_370]),c_0_275]),c_0_266])]) ).
cnf(c_0_380,plain,
sdtpldt0(sz00,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_314]),c_0_275]),c_0_266])]) ).
cnf(c_0_381,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_22 ).
cnf(c_0_382,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_371]),c_0_372]) ).
cnf(c_0_383,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3))) ),
i_0_29 ).
cnf(c_0_384,hypothesis,
( sz10 = sz00
| aDivisorOf0(sz10,sdtpldt0(xp,smndt0(smndt0(sz10)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_298]),c_0_299])]) ).
cnf(c_0_385,plain,
( sdtasdt0(X1,X2) = sz00
| sdtasdt0(xp,sdtasdt0(X2,X1)) != sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_266])]) ).
cnf(c_0_386,plain,
sdtasdt0(sz00,smndt0(xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]),c_0_370]),c_0_354]),c_0_275])]) ).
cnf(c_0_387,plain,
( sdtpldt0(smndt0(smndt0(xp)),sz00) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_379]),c_0_380]),c_0_266])]) ).
cnf(c_0_388,plain,
( smndt0(sz10) = sz00
| aDivisorOf0(smndt0(sz10),smndt0(X1))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_324,c_0_381]) ).
cnf(c_0_389,plain,
( sdtpldt0(sz10,sz00) = smndt0(sz10)
| sdtpldt0(sz10,sz00) = sz10 ),
inference(rw,[status(thm)],[c_0_356,c_0_382]) ).
cnf(c_0_390,plain,
( sz10 = sz00
| sdteqdtlpzmzozddtrp0(xp,smndt0(sz10),sz10)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_266]),c_0_271])]) ).
cnf(c_0_391,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_308]),c_0_271])]) ).
cnf(c_0_392,plain,
sdtasdt0(smndt0(xp),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_279]),c_0_275]),c_0_354])]) ).
cnf(c_0_393,plain,
( smndt0(smndt0(xp)) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_387]),c_0_282]) ).
cnf(c_0_394,hypothesis,
( smndt0(sz10) = sz00
| aDivisorOf0(smndt0(sz10),smndt0(X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_298]),c_0_299])]) ).
cnf(c_0_395,plain,
( sdtpldt0(sz10,sz00) = sz10
| smndt0(sz10) != sz10 ),
inference(ef,[status(thm)],[c_0_389]) ).
cnf(c_0_396,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
i_0_32 ).
cnf(c_0_397,hypothesis,
( sz10 = sz00
| sdteqdtlpzmzozddtrp0(xp,smndt0(sz10),sz10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_298]),c_0_299])]) ).
cnf(c_0_398,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_306,c_0_381]) ).
cnf(c_0_399,plain,
sdtasdt0(smndt0(xp),sz10) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_377]),c_0_382]),c_0_275]),c_0_354])]) ).
cnf(c_0_400,plain,
smndt0(smndt0(xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_354])]) ).
cnf(c_0_401,hypothesis,
( smndt0(sz10) = sz00
| aDivisorOf0(smndt0(sz10),smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_394,c_0_266]) ).
cnf(c_0_402,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_389]),c_0_382]),c_0_275]),c_0_271])]),c_0_395]) ).
cnf(c_0_403,plain,
( sdtpldt0(xp,sdtpldt0(X1,sz00)) = sdtpldt0(xp,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_315]),c_0_275])]) ).
cnf(c_0_404,plain,
( X1 = sz00
| aElementOf0(X2,X3)
| X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X4,X1) ),
i_0_94 ).
cnf(c_0_405,plain,
( sz10 = sz00
| sdteqdtlpzmzozddtrp0(smndt0(sz10),xp,sz10)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_266]),c_0_271])]) ).
cnf(c_0_406,plain,
( sdtasdt0(smndt0(sz10),smndt0(xp)) = sdtasdt0(xp,sz10)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_400]),c_0_271]),c_0_354])]) ).
cnf(c_0_407,plain,
( smndt0(sz10) = sz00
| aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_345,c_0_401]) ).
cnf(c_0_408,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_402]),c_0_370]),c_0_275]),c_0_271])]) ).
cnf(c_0_409,plain,
( sdtpldt0(xp,smndt0(smndt0(xp))) = sdtpldt0(xp,xp)
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_387]),c_0_282]) ).
cnf(c_0_410,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_404]) ).
cnf(c_0_411,hypothesis,
( sz10 = sz00
| sdteqdtlpzmzozddtrp0(smndt0(sz10),xp,sz10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_298]),c_0_299])]) ).
cnf(c_0_412,plain,
( sdtasdt0(xp,sz10) = xp
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_406]),c_0_400]),c_0_354])]) ).
cnf(c_0_413,plain,
( smndt0(sz10) = sz00
| aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_282]),c_0_266])]) ).
cnf(c_0_414,plain,
( sdtpldt0(smndt0(smndt0(sz10)),sz00) = sz10
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_408]),c_0_382]),c_0_271])]) ).
cnf(c_0_415,plain,
( sdtpldt0(smndt0(xp),sdtpldt0(xp,xp)) = sdtpldt0(sz00,smndt0(smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_409]),c_0_266])]),c_0_282]) ).
cnf(c_0_416,plain,
( sdtasdt0(xp,sdtpldt0(sz00,X1)) = sdtpldt0(sz00,sdtasdt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_275]),c_0_266])]) ).
cnf(c_0_417,plain,
( aInteger0(sdtpldt0(sdtasdt0(xp,X1),sz00))
| ~ aInteger0(sdtpldt0(X1,sz00))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_283]),c_0_266])]) ).
cnf(c_0_418,plain,
sdtpldt0(sdtasdt0(xp,sz10),sz00) = sdtasdt0(xp,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_402]),c_0_271])]) ).
cnf(c_0_419,plain,
( X1 = sz00
| aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X2,X3) ),
i_0_96 ).
cnf(c_0_420,plain,
( sz10 = sz00
| aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(xp,sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_266]),c_0_271])]) ).
cnf(c_0_421,plain,
( sdtasdt0(smndt0(sz10),xp) = smndt0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_412]),c_0_399]),c_0_271]),c_0_266])]) ).
cnf(c_0_422,plain,
( smndt0(sz10) = sz00
| X1 = sz00
| smndt0(X1) != sz00
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_381]),c_0_413]) ).
cnf(c_0_423,plain,
( smndt0(smndt0(sz10)) = sz10
| ~ aInteger0(smndt0(sz10)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_414]),c_0_282]) ).
cnf(c_0_424,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_278]),c_0_312]),c_0_312]) ).
cnf(c_0_425,plain,
sdtpldt0(smndt0(xp),sdtpldt0(xp,xp)) = xp,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_415,c_0_354])]),c_0_400]),c_0_380]) ).
cnf(c_0_426,plain,
aInteger0(sdtpldt0(xp,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_380]),c_0_266])]) ).
cnf(c_0_427,plain,
sdtpldt0(sz00,sdtasdt0(xp,sz10)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_416]),c_0_279]),c_0_380]),c_0_275]),c_0_266]),c_0_271])]) ).
cnf(c_0_428,plain,
aInteger0(sdtasdt0(xp,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_402]),c_0_271]),c_0_271])]) ).
cnf(c_0_429,plain,
( X1 = sz00
| aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_419]) ).
cnf(c_0_430,hypothesis,
( sz10 = sz00
| aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(xp,sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_298]),c_0_299])]) ).
cnf(c_0_431,plain,
( sdtasdt0(xp,smndt0(sz10)) = smndt0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_421]),c_0_266])]) ).
cnf(c_0_432,plain,
( smndt0(sz10) = sz00
| sz10 != sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_413]) ).
cnf(c_0_433,plain,
( aInteger0(sdtasdt0(X1,xp))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_426]),c_0_354])]) ).
cnf(c_0_434,plain,
sdtasdt0(xp,sz10) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_427]),c_0_428])]) ).
cnf(c_0_435,plain,
( sz10 = sz00
| aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_266]),c_0_271])]) ).
cnf(c_0_436,plain,
sz10 != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_279]),c_0_275])]),c_0_339]) ).
cnf(c_0_437,plain,
( aInteger0(sdtasdt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_303]),c_0_266])]) ).
cnf(c_0_438,plain,
sdtpldt0(smndt0(xp),sz00) = smndt0(xp),
inference(rw,[status(thm)],[c_0_368,c_0_377]) ).
cnf(c_0_439,plain,
( sdtasdt0(smndt0(sz10),smndt0(xp)) = xp
| ~ aInteger0(smndt0(sz10)) ),
inference(rw,[status(thm)],[c_0_406,c_0_434]) ).
cnf(c_0_440,plain,
aInteger0(smndt0(sz10)),
inference(sr,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_441,plain,
( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xp,X1),X2)) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(sz00,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_313]),c_0_275])]),c_0_437]) ).
cnf(c_0_442,plain,
sdtpldt0(sdtasdt0(xp,smndt0(xp)),sz00) = sdtasdt0(xp,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_438]),c_0_354])]) ).
cnf(c_0_443,plain,
( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_310]),c_0_296]) ).
cnf(c_0_444,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_310]),c_0_296]) ).
cnf(c_0_445,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
i_0_17 ).
cnf(c_0_446,plain,
( sdtasdt0(smndt0(xp),smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_431]),c_0_266])]) ).
cnf(c_0_447,plain,
sdtasdt0(smndt0(sz10),smndt0(xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_440])]) ).
cnf(c_0_448,plain,
sdtasdt0(sz00,sdtasdt0(xp,smndt0(xp))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_442]),c_0_386]),c_0_378]),c_0_370]),c_0_275]),c_0_354])]) ).
cnf(c_0_449,plain,
aInteger0(sdtasdt0(xp,smndt0(xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_442]),c_0_368]),c_0_377]),c_0_354]),c_0_354])]) ).
cnf(c_0_450,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_308]),c_0_271])]) ).
cnf(c_0_451,plain,
( aInteger0(sdtpldt0(X1,sz10))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_382]),c_0_271]),c_0_275])]) ).
cnf(c_0_452,plain,
( sdtpldt0(X1,xp) = sdtpldt0(xp,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_444]),c_0_380]),c_0_266]),c_0_275])]) ).
cnf(c_0_453,plain,
( sdtpldt0(sdtasdt0(X1,X2),X2) = sdtasdt0(sdtpldt0(X1,sz10),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_341]),c_0_271])]) ).
cnf(c_0_454,plain,
sdtasdt0(smndt0(xp),smndt0(sz10)) = xp,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_440])]),c_0_447]) ).
cnf(c_0_455,plain,
( sdtpldt0(X1,sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(sz10,X2),X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_341]),c_0_271])]) ).
cnf(c_0_456,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_448]),c_0_279]),c_0_275]),c_0_449])]) ).
cnf(c_0_457,plain,
( sdtasdt0(sz00,smndt0(xp)) = sdtasdt0(sz00,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_301]),c_0_266])]) ).
cnf(c_0_458,plain,
( sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xp)) = sdtpldt0(smndt0(sz10),smndt0(xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_421]),c_0_266])]) ).
cnf(c_0_459,plain,
aInteger0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_266]),c_0_271])]) ).
cnf(c_0_460,negated_conjecture,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
i_0_222 ).
cnf(c_0_461,plain,
sdtasdt0(sdtpldt0(smndt0(xp),sz10),smndt0(sz10)) = sdtpldt0(xp,smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_454]),c_0_440]),c_0_354])]) ).
cnf(c_0_462,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtpldt0(smndt0(sz10),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_454]),c_0_354]),c_0_440])]) ).
cnf(c_0_463,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,sz10))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_324,c_0_271]) ).
cnf(c_0_464,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_306,c_0_303]) ).
cnf(c_0_465,plain,
sdtasdt0(sdtasdt0(xp,smndt0(xp)),sz10) = sdtasdt0(xp,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_456]),c_0_442]),c_0_402]),c_0_275]),c_0_449])]) ).
cnf(c_0_466,plain,
sdtasdt0(sz00,smndt0(sz10)) = sz00,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_440])]),c_0_386]) ).
cnf(c_0_467,plain,
( sdtpldt0(smndt0(sz10),smndt0(xp)) = smndt0(sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_458]),c_0_459])]) ).
cnf(c_0_468,negated_conjecture,
( sdtpldt0(X1,X2) = smndt0(sz10)
| sdtpldt0(X1,X2) = sz10
| ~ aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_310]),c_0_296]) ).
cnf(c_0_469,plain,
sdtpldt0(smndt0(sz10),xp) = sdtpldt0(xp,smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_315]),c_0_462]),c_0_271]),c_0_354])]) ).
cnf(c_0_470,plain,
smndt0(smndt0(sz10)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_440])]) ).
cnf(c_0_471,hypothesis,
aDivisorOf0(xp,sdtasdt0(xp,sz10)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_266]),c_0_267]) ).
cnf(c_0_472,plain,
( sdtasdt0(sz10,X1) = sz00
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(sdtasdt0(X1,xp))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_341]),c_0_271])]) ).
cnf(c_0_473,plain,
sdtasdt0(smndt0(xp),xp) = sdtasdt0(xp,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_434]),c_0_271]),c_0_266]),c_0_354])]) ).
cnf(c_0_474,plain,
( sdtpldt0(smndt0(X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(smndt0(sz10),X2),X1)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_445,c_0_381]) ).
cnf(c_0_475,plain,
sdtasdt0(sz10,smndt0(sz10)) = sdtpldt0(smndt0(sz10),sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_466]),c_0_402]),c_0_275]),c_0_440])]) ).
cnf(c_0_476,plain,
( sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp))) = smndt0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_467]),c_0_377]),c_0_354]),c_0_271])]) ).
cnf(c_0_477,negated_conjecture,
( sdtpldt0(X1,X2) = smndt0(sz10)
| sdtpldt0(X1,X2) = sz10
| ~ aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_440])]) ).
cnf(c_0_478,plain,
sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_469]),c_0_470]),c_0_380]),c_0_266]),c_0_440])]) ).
cnf(c_0_479,plain,
aDivisorOf0(xp,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_308]),c_0_266])]) ).
cnf(c_0_480,plain,
( sdtasdt0(X1,X2) = sz00
| X3 = sz00
| sdtasdt0(X1,sdtasdt0(X2,X3)) != sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_306]),c_0_312]) ).
cnf(c_0_481,plain,
( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz10,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_341]),c_0_271])]) ).
cnf(c_0_482,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_347]),c_0_275]),c_0_266])]) ).
cnf(c_0_483,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(xp,smndt0(xp))) = sdtasdt0(xp,xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_473]),c_0_400]),c_0_266]),c_0_354])]) ).
cnf(c_0_484,plain,
( sdtasdt0(sz00,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(sz00,X1),sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_307]),c_0_266]),c_0_275])]) ).
cnf(c_0_485,plain,
( sdtpldt0(smndt0(X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(smndt0(sz10),X2),X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_440])]) ).
cnf(c_0_486,plain,
sdtasdt0(xp,smndt0(sz10)) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_440])]) ).
cnf(c_0_487,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(xp),sz10)) = sdtpldt0(xp,smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_447]),c_0_354]),c_0_440])]) ).
cnf(c_0_488,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_324,c_0_282]) ).
cnf(c_0_489,plain,
( sdtasdt0(sdtpldt0(X1,X2),sz10) = sdtpldt0(X1,sdtasdt0(X2,sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_308]),c_0_271])]) ).
cnf(c_0_490,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_475]),c_0_271])]) ).
cnf(c_0_491,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_308]),c_0_307]),c_0_271]),c_0_266])]) ).
cnf(c_0_492,plain,
sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp))) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_440])]) ).
cnf(c_0_493,plain,
( sdtpldt0(sz10,xp) = smndt0(sz10)
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_479]),c_0_266]),c_0_271])]) ).
cnf(c_0_494,plain,
( X1 = sz00
| sdtasdt0(xp,sdtasdt0(sz10,X1)) != sz00
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_434]),c_0_271]),c_0_266])]),c_0_267]) ).
cnf(c_0_495,plain,
( sdtasdt0(sz10,X1) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_327]),c_0_482]),c_0_275])]) ).
cnf(c_0_496,plain,
( sdtasdt0(smndt0(xp),smndt0(xp)) = sdtasdt0(xp,xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_483]),c_0_354]),c_0_266])]) ).
cnf(c_0_497,plain,
( sdtpldt0(sdtasdt0(X1,xp),sz00) = sdtasdt0(X1,xp)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_303]),c_0_266])]) ).
cnf(c_0_498,plain,
sdtasdt0(sz00,sdtpldt0(xp,xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_452]),c_0_307]),c_0_370]),c_0_266])]) ).
cnf(c_0_499,negated_conjecture,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_460,c_0_315]) ).
cnf(c_0_500,plain,
sdtasdt0(sdtpldt0(xp,smndt0(sz10)),smndt0(sz10)) = sdtpldt0(sz10,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_470]),c_0_469]),c_0_266]),c_0_440])]) ).
cnf(c_0_501,plain,
aInteger0(sdtpldt0(xp,smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_487]),c_0_271]),c_0_354]),c_0_440])]) ).
cnf(c_0_502,hypothesis,
( aDivisorOf0(xp,sdtasdt0(xp,smndt0(X1)))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_266]),c_0_267]) ).
cnf(c_0_503,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_491]),c_0_490]),c_0_275]),c_0_440])]) ).
cnf(c_0_504,plain,
( sdtpldt0(sz10,sz10) = smndt0(xp)
| sdtpldt0(sz10,xp) = sz10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_470]) ).
cnf(c_0_505,plain,
( sdtasdt0(smndt0(sz10),sdtpldt0(xp,sz10)) = sdtpldt0(smndt0(xp),smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_421]),c_0_266])]) ).
cnf(c_0_506,plain,
sdtpldt0(smndt0(sz10),smndt0(xp)) = smndt0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_467,c_0_440])]) ).
cnf(c_0_507,plain,
( aInteger0(smndt0(sdtpldt0(sz10,xp)))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_467]),c_0_354])]) ).
cnf(c_0_508,plain,
( X1 = sz00
| sdtasdt0(xp,sdtpldt0(sz00,X1)) != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_509,plain,
( sdtasdt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(sz00,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_274]),c_0_275])]) ).
cnf(c_0_510,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(xp,xp)) = sdtasdt0(xp,smndt0(xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_496]),c_0_400]),c_0_354])]) ).
cnf(c_0_511,plain,
aInteger0(sdtasdt0(xp,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_497]),c_0_314]),c_0_266]),c_0_266])]) ).
cnf(c_0_512,plain,
sdtasdt0(sdtpldt0(xp,xp),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_498]),c_0_279]),c_0_275]),c_0_426])]) ).
cnf(c_0_513,plain,
sdtpldt0(sz00,sdtpldt0(xp,xp)) = sdtpldt0(xp,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_425]),c_0_400]),c_0_426]),c_0_354])]) ).
cnf(c_0_514,negated_conjecture,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_499,c_0_440])]) ).
cnf(c_0_515,plain,
sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_500]),c_0_478]),c_0_486]),c_0_501]),c_0_440])]) ).
cnf(c_0_516,plain,
aDivisorOf0(xp,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_301]),c_0_271]),c_0_266])]) ).
cnf(c_0_517,plain,
aInteger0(sdtpldt0(sz10,smndt0(xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_500]),c_0_440]),c_0_501])]) ).
cnf(c_0_518,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10)) = sdtpldt0(smndt0(sz10),smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_503]),c_0_271]),c_0_440])]) ).
cnf(c_0_519,plain,
sdtpldt0(sz10,sz10) = smndt0(xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_504]),c_0_478]),c_0_440]),c_0_266]),c_0_271])]),c_0_267]) ).
cnf(c_0_520,plain,
( sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xp)) = sdtpldt0(smndt0(xp),smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_315]),c_0_271]),c_0_266])]) ).
cnf(c_0_521,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xp)),smndt0(sz10)) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_454]),c_0_470]),c_0_506]),c_0_354]),c_0_440])]) ).
cnf(c_0_522,plain,
aInteger0(smndt0(sdtpldt0(sz10,xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_507,c_0_440])]) ).
cnf(c_0_523,plain,
( X1 = sz00
| sdtpldt0(sz00,sdtasdt0(xp,X1)) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_266])]) ).
cnf(c_0_524,plain,
( sdtasdt0(xp,smndt0(xp)) = smndt0(sdtasdt0(xp,xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_510]),c_0_511])]) ).
cnf(c_0_525,plain,
sdtasdt0(sdtpldt0(xp,xp),sz10) = sdtpldt0(xp,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_512]),c_0_513]),c_0_382]),c_0_275]),c_0_426])]) ).
cnf(c_0_526,plain,
( sdtasdt0(sdtpldt0(X1,X1),X2) = sdtasdt0(X1,sdtpldt0(X2,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_278,c_0_445]) ).
cnf(c_0_527,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_515]),c_0_516]),c_0_517])]) ).
cnf(c_0_528,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = xp,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_518,c_0_519]),c_0_447]) ).
cnf(c_0_529,plain,
( sdtpldt0(smndt0(xp),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_520]),c_0_459])]) ).
cnf(c_0_530,plain,
smndt0(smndt0(sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_521]),c_0_522])]) ).
cnf(c_0_531,plain,
smndt0(sdtpldt0(sz10,xp)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_519]),c_0_506]),c_0_382]),c_0_271])]) ).
cnf(c_0_532,plain,
( sdtpldt0(sz00,smndt0(sdtasdt0(xp,xp))) != sz00
| ~ aInteger0(smndt0(sz10)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_354])]),c_0_339]) ).
cnf(c_0_533,plain,
sdtasdt0(xp,sdtpldt0(sz10,sz10)) = sdtpldt0(xp,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_271]),c_0_266])]) ).
cnf(c_0_534,plain,
sdtasdt0(xp,smndt0(xp)) = smndt0(sdtasdt0(xp,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_524,c_0_440])]) ).
cnf(c_0_535,plain,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| smndt0(xp) = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_527]),c_0_528]),c_0_377]),c_0_354]),c_0_271])]) ).
cnf(c_0_536,plain,
sdtpldt0(smndt0(xp),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_440])]) ).
cnf(c_0_537,plain,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(rw,[status(thm)],[c_0_530,c_0_531]) ).
cnf(c_0_538,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,xp))) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_532,c_0_440])]) ).
cnf(c_0_539,plain,
smndt0(sdtasdt0(xp,xp)) = sdtpldt0(xp,xp),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_519]),c_0_534]) ).
cnf(c_0_540,plain,
smndt0(xp) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_535]),c_0_536]),c_0_537]),c_0_470]),c_0_519]),c_0_440]),c_0_354]),c_0_271])]),c_0_339]) ).
cnf(c_0_541,plain,
sdtpldt0(xp,xp) != sz00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_539]),c_0_513]) ).
cnf(c_0_542,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_540]),c_0_541]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM451+6 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.13 % 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 : Wed Jul 6 12:21:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 20.58/4.03 # ENIGMATIC: Solved by autoschedule:
% 20.58/4.03 # No SInE strategy applied
% 20.58/4.03 # Trying AutoSched0 for 150 seconds
% 20.58/4.03 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 20.58/4.03 # and selection function PSelectComplexExceptUniqMaxHorn.
% 20.58/4.03 #
% 20.58/4.03 # Preprocessing time : 0.016 s
% 20.58/4.03 # Presaturation interreduction done
% 20.58/4.03
% 20.58/4.03 # Proof found!
% 20.58/4.03 # SZS status Theorem
% 20.58/4.03 # SZS output start CNFRefutation
% See solution above
% 20.58/4.04 # Training examples: 0 positive, 0 negative
% 20.58/4.04
% 20.58/4.04 # -------------------------------------------------
% 20.58/4.04 # User time : 1.273 s
% 20.58/4.04 # System time : 0.046 s
% 20.58/4.04 # Total time : 1.319 s
% 20.58/4.04 # Maximum resident set size: 7116 pages
% 20.58/4.04
%------------------------------------------------------------------------------