TSTP Solution File: NUM454+6 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM454+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:36:11 EDT 2022
% Result : Theorem 9.89s 2.63s
% Output : CNFRefutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of clauses : 110 ( 48 unt; 4 nHn; 110 RR)
% Number of literals : 212 ( 91 equ; 101 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_12) ).
cnf(i_0_230,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_230) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_3) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_4) ).
cnf(i_0_229,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_229) ).
cnf(i_0_7,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_7) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_11) ).
cnf(i_0_216,hypothesis,
aInteger0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_216) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_10) ).
cnf(i_0_225,hypothesis,
sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,esk28_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_225) ).
cnf(i_0_8,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_8) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_9) ).
cnf(i_0_6,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_6) ).
cnf(i_0_226,hypothesis,
aInteger0(esk28_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_226) ).
cnf(i_0_211,hypothesis,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_211) ).
cnf(i_0_23,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_23) ).
cnf(i_0_215,hypothesis,
xp != sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_215) ).
cnf(i_0_212,hypothesis,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_212) ).
cnf(i_0_206,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_206) ).
cnf(i_0_31,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_31) ).
cnf(i_0_22,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_22) ).
cnf(i_0_220,hypothesis,
sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,esk29_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_220) ).
cnf(i_0_13,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_13) ).
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/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_18) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_2) ).
cnf(i_0_221,hypothesis,
aInteger0(esk29_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_221) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_14) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_95m16no/input.p',i_0_16) ).
cnf(c_0_259,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_260,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
i_0_230 ).
cnf(c_0_261,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_262,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_263,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
i_0_229 ).
cnf(c_0_264,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_7 ).
cnf(c_0_265,negated_conjecture,
sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261])]) ).
cnf(c_0_266,negated_conjecture,
aInteger0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_260]),c_0_261])]) ).
cnf(c_0_267,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
i_0_11 ).
cnf(c_0_268,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,xp),
inference(rw,[status(thm)],[c_0_263,c_0_260]) ).
cnf(c_0_269,plain,
( sdtpldt0(sz10,sdtpldt0(sdtpldt0(sz10,xp),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_261])]),c_0_266])]) ).
cnf(c_0_270,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_260]),c_0_261])]) ).
cnf(c_0_271,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1)) = sdtpldt0(sdtpldt0(sz10,xp),X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_268]),c_0_261])]) ).
cnf(c_0_272,hypothesis,
aInteger0(xp),
i_0_216 ).
cnf(c_0_273,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
i_0_10 ).
cnf(c_0_274,negated_conjecture,
sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_261])]) ).
cnf(c_0_275,hypothesis,
sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,esk28_0),
i_0_225 ).
cnf(c_0_276,plain,
( sdtpldt0(sdtpldt0(sz10,xp),xp) = sdtpldt0(sz10,sz00)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_267]),c_0_272])]) ).
cnf(c_0_277,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_261])]) ).
cnf(c_0_278,hypothesis,
sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)) = sdtasdt0(xp,esk28_0),
inference(rw,[status(thm)],[c_0_275,c_0_260]) ).
cnf(c_0_279,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_8 ).
cnf(c_0_280,plain,
( sdtpldt0(sdtpldt0(sz10,xp),xp) = sz10
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_274]),c_0_277]) ).
cnf(c_0_281,hypothesis,
sdtpldt0(sz10,sdtpldt0(xp,sdtpldt0(sz10,xp))) = sdtasdt0(xp,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_264]),c_0_272]),c_0_261])]),c_0_266])]) ).
cnf(c_0_282,plain,
( sdtpldt0(xp,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,sz00)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_276]),c_0_272]),c_0_266])]) ).
cnf(c_0_283,plain,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_280]),c_0_272])]) ).
cnf(c_0_284,plain,
( sdtpldt0(sz10,sdtpldt0(X1,smndt0(xp))) = sdtpldt0(sdtpldt0(sz10,xp),X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_279]) ).
cnf(c_0_285,hypothesis,
( sdtpldt0(sz10,sdtpldt0(sz10,sz00)) = sdtasdt0(xp,esk28_0)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_286,plain,
sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_262]),c_0_272])]) ).
cnf(c_0_287,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
i_0_9 ).
cnf(c_0_288,plain,
( sdtpldt0(sz00,smndt0(xp)) = sdtasdt0(xp,esk28_0)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_269]),c_0_278]),c_0_266])]) ).
cnf(c_0_289,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_6 ).
cnf(c_0_290,plain,
( sdtasdt0(xp,esk28_0) = sdtpldt0(sz10,sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_273]),c_0_261])]) ).
cnf(c_0_291,hypothesis,
aInteger0(esk28_0),
i_0_226 ).
cnf(c_0_292,hypothesis,
( sdtasdt0(xp,esk28_0) = sdtpldt0(sz00,xp)
| ~ aInteger0(smndt0(xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_274]),c_0_277]),c_0_286]) ).
cnf(c_0_293,plain,
( sdtasdt0(xp,esk28_0) = smndt0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_294,plain,
( aInteger0(sdtpldt0(sz10,sz10))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]),c_0_272])]) ).
cnf(c_0_295,hypothesis,
( smndt0(xp) = sdtpldt0(sz00,xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_296,plain,
aInteger0(sdtpldt0(sz10,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_262]),c_0_272])]) ).
cnf(c_0_297,hypothesis,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
i_0_211 ).
cnf(c_0_298,plain,
smndt0(xp) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_262]),c_0_272])]) ).
cnf(c_0_299,plain,
aInteger0(sdtpldt0(sz00,xp)),
inference(rw,[status(thm)],[c_0_296,c_0_286]) ).
cnf(c_0_300,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_23 ).
cnf(c_0_301,hypothesis,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,sdtpldt0(sz10,xp))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(rw,[status(thm)],[c_0_297,c_0_260]) ).
cnf(c_0_302,hypothesis,
xp != sz00,
i_0_215 ).
cnf(c_0_303,hypothesis,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
i_0_212 ).
cnf(c_0_304,plain,
sdtasdt0(xp,esk28_0) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_298]),c_0_298]),c_0_299])]) ).
cnf(c_0_305,hypothesis,
( esk26_1(X1) = sz00
| sdtpldt0(X1,sdtpldt0(sz10,xp)) != 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_300,c_0_301]),c_0_272])]),c_0_302]),c_0_303]) ).
cnf(c_0_306,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp) ),
i_0_206 ).
cnf(c_0_307,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_31 ).
cnf(c_0_308,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_22 ).
cnf(c_0_309,hypothesis,
sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,esk29_0),
i_0_220 ).
cnf(c_0_310,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xp)) = sdtpldt0(sz00,xp),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_298]),c_0_298]),c_0_299])]),c_0_304]) ).
cnf(c_0_311,hypothesis,
( sdtpldt0(X1,sdtpldt0(sz10,xp)) = sdtasdt0(xp,sz00)
| sdtpldt0(X1,sdtpldt0(sz10,xp)) != sz00
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(spm,[status(thm)],[c_0_301,c_0_305]) ).
cnf(c_0_312,hypothesis,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
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_261]),c_0_272])]),c_0_302]) ).
cnf(c_0_313,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_13 ).
cnf(c_0_314,plain,
( sdtasdt0(sdtpldt0(sz10,xp),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_308,c_0_260]) ).
cnf(c_0_315,hypothesis,
sdtasdt0(xp,esk29_0) = sdtasdt0(xp,esk28_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_268]),c_0_260]),c_0_278]) ).
cnf(c_0_316,plain,
sdtpldt0(sz00,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_287]),c_0_272])]) ).
cnf(c_0_317,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_318,negated_conjecture,
sdtasdt0(xp,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_265]),c_0_312])]) ).
cnf(c_0_319,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_320,plain,
( sdtasdt0(sdtpldt0(sz10,xp),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_266])]) ).
cnf(c_0_321,hypothesis,
sdtasdt0(xp,esk29_0) = xp,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_304]),c_0_316]) ).
cnf(c_0_322,hypothesis,
aInteger0(esk29_0),
i_0_221 ).
cnf(c_0_323,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_317,c_0_318]),c_0_319]),c_0_272])]) ).
cnf(c_0_324,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_14 ).
cnf(c_0_325,hypothesis,
sdtasdt0(sdtpldt0(sz10,xp),xp) = 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_320,c_0_321]),c_0_298]),c_0_316]),c_0_321]),c_0_322]),c_0_272])]) ).
cnf(c_0_326,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
i_0_16 ).
cnf(c_0_327,plain,
( sdtpldt0(sz00,sdtasdt0(xp,X1)) = sdtasdt0(xp,X1)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_323,c_0_287]) ).
cnf(c_0_328,plain,
sdtasdt0(xp,sdtpldt0(sz10,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_266]),c_0_272])]) ).
cnf(c_0_329,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_317,c_0_326]),c_0_261])]) ).
cnf(c_0_330,plain,
sdtpldt0(xp,sdtpldt0(sz00,xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_298]),c_0_272])]) ).
cnf(c_0_331,plain,
( aInteger0(sdtpldt0(sz00,sdtasdt0(xp,X1)))
| ~ aInteger0(sdtpldt0(sz00,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_323]),c_0_272])]) ).
cnf(c_0_332,plain,
( sdtpldt0(sz00,sdtasdt0(X1,xp)) = sdtasdt0(X1,xp)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_324]),c_0_272])]) ).
cnf(c_0_333,plain,
( sdtpldt0(sz00,X1) = sz00
| sdtpldt0(sz00,sdtasdt0(xp,X1)) != sz00
| ~ aInteger0(sdtpldt0(sz00,X1))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_323]),c_0_272])]),c_0_302]) ).
cnf(c_0_334,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_267]),c_0_262]) ).
cnf(c_0_335,plain,
sdtpldt0(xp,sdtasdt0(xp,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_272])]) ).
cnf(c_0_336,plain,
sdtpldt0(xp,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_287]),c_0_272])]) ).
cnf(c_0_337,plain,
sdtpldt0(sz00,sdtasdt0(xp,xp)) = sdtasdt0(xp,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_316]),c_0_272])]) ).
cnf(c_0_338,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_331,c_0_332]),c_0_316]),c_0_272]),c_0_272])]) ).
cnf(c_0_339,plain,
sdtasdt0(xp,xp) != sz00,
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_333,c_0_332]),c_0_316]),c_0_316]),c_0_272]),c_0_272])]),c_0_302]) ).
cnf(c_0_340,plain,
$false,
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(spm,[status(thm)],[c_0_334,c_0_335]),c_0_298]),c_0_316]),c_0_336]),c_0_337]),c_0_338]),c_0_272])]),c_0_339]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM454+6 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 08:50:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.89/2.63 # ENIGMATIC: Solved by autoschedule:
% 9.89/2.63 # No SInE strategy applied
% 9.89/2.63 # Trying AutoSched0 for 150 seconds
% 9.89/2.63 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 9.89/2.63 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.89/2.63 #
% 9.89/2.63 # Preprocessing time : 0.030 s
% 9.89/2.63 # Presaturation interreduction done
% 9.89/2.63
% 9.89/2.63 # Proof found!
% 9.89/2.63 # SZS status Theorem
% 9.89/2.63 # SZS output start CNFRefutation
% See solution above
% 9.89/2.63 # Training examples: 0 positive, 0 negative
% 9.89/2.63
% 9.89/2.63 # -------------------------------------------------
% 9.89/2.63 # User time : 0.331 s
% 9.89/2.63 # System time : 0.014 s
% 9.89/2.63 # Total time : 0.345 s
% 9.89/2.63 # Maximum resident set size: 7124 pages
% 9.89/2.63
%------------------------------------------------------------------------------