TSTP Solution File: NUM453+6 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM453+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 08:36:10 EDT 2022

% Result   : Theorem 8.55s 2.36s
% Output   : CNFRefutation 8.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   34
% Syntax   : Number of clauses     :  120 (  53 unt;  23 nHn; 120 RR)
%            Number of literals    :  243 (  98 equ; 102 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_213,hypothesis,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_213) ).

cnf(i_0_222,hypothesis,
    aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_222) ).

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/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_94) ).

cnf(i_0_33,plain,
    ( X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | ~ aInteger0(X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X4)
    | ~ aInteger0(X2)
    | ~ sdteqdtlpzmzozddtrp0(X4,X3,X1)
    | ~ sdteqdtlpzmzozddtrp0(X2,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_33) ).

cnf(i_0_223,hypothesis,
    sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_223) ).

cnf(i_0_3,plain,
    aInteger0(sz10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_3) ).

cnf(i_0_216,hypothesis,
    aInteger0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_216) ).

cnf(i_0_215,hypothesis,
    xp != sz00,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_215) ).

cnf(i_0_32,plain,
    ( X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3)
    | ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_32) ).

cnf(i_0_217,hypothesis,
    aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_217) ).

cnf(i_0_227,negated_conjecture,
    ( sdtpldt0(sz10,xp) = sz10
    | sdtpldt0(sz10,smndt0(xp)) = sz10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_227) ).

cnf(i_0_212,hypothesis,
    ( aInteger0(esk26_1(X1))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_212) ).

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-cst0k7c4/lgb.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-cst0k7c4/lgb.p',i_0_23) ).

cnf(i_0_12,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_12) ).

cnf(i_0_138,hypothesis,
    stldt0(sbsmnsldt0(xS)) = cS2076,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_138) ).

cnf(i_0_113,hypothesis,
    xS = cS2043,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_113) ).

cnf(i_0_210,hypothesis,
    ( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_210) ).

cnf(i_0_225,hypothesis,
    sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,esk28_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_225) ).

cnf(i_0_220,hypothesis,
    sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,esk29_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_220) ).

cnf(i_0_200,hypothesis,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_200) ).

cnf(i_0_139,hypothesis,
    ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
    | X1 != smndt0(sz10) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_139) ).

cnf(i_0_207,hypothesis,
    ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    | ~ aInteger0(X1)
    | ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_207) ).

cnf(i_0_221,hypothesis,
    aInteger0(esk29_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_221) ).

cnf(i_0_8,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_8) ).

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-cst0k7c4/lgb.p',i_0_7) ).

cnf(i_0_5,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_5) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_10) ).

cnf(i_0_11,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_11) ).

cnf(i_0_4,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_4) ).

cnf(i_0_19,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_19) ).

cnf(i_0_21,plain,
    ( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_21) ).

cnf(i_0_2,plain,
    aInteger0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_2) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cst0k7c4/lgb.p',i_0_9) ).

cnf(c_0_262,hypothesis,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    i_0_213 ).

cnf(c_0_263,hypothesis,
    aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    i_0_222 ).

cnf(c_0_264,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_265,plain,
    ( X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | ~ aInteger0(X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X4)
    | ~ aInteger0(X2)
    | ~ sdteqdtlpzmzozddtrp0(X4,X3,X1)
    | ~ sdteqdtlpzmzozddtrp0(X2,X4,X1) ),
    i_0_33 ).

cnf(c_0_266,hypothesis,
    sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp),
    i_0_223 ).

cnf(c_0_267,plain,
    aInteger0(sz10),
    i_0_3 ).

cnf(c_0_268,hypothesis,
    aInteger0(xp),
    i_0_216 ).

cnf(c_0_269,hypothesis,
    xp != sz00,
    i_0_215 ).

cnf(c_0_270,hypothesis,
    aInteger0(sdtpldt0(sz10,xp)),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_271,plain,
    ( X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3)
    | ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
    i_0_32 ).

cnf(c_0_272,hypothesis,
    aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    i_0_217 ).

cnf(c_0_273,negated_conjecture,
    ( sdtpldt0(sz10,xp) = sz10
    | sdtpldt0(sz10,smndt0(xp)) = sz10 ),
    i_0_227 ).

cnf(c_0_274,hypothesis,
    ( aInteger0(esk26_1(X1))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    i_0_212 ).

cnf(c_0_275,plain,
    ( X1 = sz00
    | aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
    | ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(er,[status(thm)],[c_0_264]) ).

cnf(c_0_276,hypothesis,
    ( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
    | ~ sdteqdtlpzmzozddtrp0(X1,sdtpldt0(sz10,xp),xp)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]),c_0_268])]),c_0_269]),c_0_270])]) ).

cnf(c_0_277,hypothesis,
    sdteqdtlpzmzozddtrp0(sz10,sdtpldt0(sz10,xp),xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_266]),c_0_267]),c_0_268])]),c_0_269]),c_0_270])]) ).

cnf(c_0_278,hypothesis,
    ( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    i_0_211 ).

cnf(c_0_279,negated_conjecture,
    ( sdtpldt0(sz10,xp) = sz10
    | aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_280,hypothesis,
    ( aInteger0(esk26_1(X1))
    | ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp)
    | ~ aInteger0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_267]),c_0_268])]),c_0_269]) ).

cnf(c_0_281,hypothesis,
    sdteqdtlpzmzozddtrp0(sz10,sz10,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_267])]) ).

cnf(c_0_282,plain,
    ( X1 = sz00
    | X2 = sz00
    | sdtasdt0(X2,X1) != sz00
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    i_0_23 ).

cnf(c_0_283,hypothesis,
    ( sdtasdt0(xp,esk26_1(sz10)) = sdtpldt0(sz10,smndt0(sz10))
    | sdtpldt0(sz10,xp) = sz10 ),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_284,hypothesis,
    aInteger0(esk26_1(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_267])]) ).

cnf(c_0_285,plain,
    ( sdtpldt0(sz10,xp) = sz10
    | esk26_1(sz10) = sz00
    | sdtpldt0(sz10,smndt0(sz10)) != sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_268]),c_0_284])]),c_0_269]) ).

cnf(c_0_286,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    i_0_12 ).

cnf(c_0_287,hypothesis,
    stldt0(sbsmnsldt0(xS)) = cS2076,
    i_0_138 ).

cnf(c_0_288,hypothesis,
    xS = cS2043,
    i_0_113 ).

cnf(c_0_289,hypothesis,
    ( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    i_0_210 ).

cnf(c_0_290,hypothesis,
    sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,esk28_0),
    i_0_225 ).

cnf(c_0_291,plain,
    ( sdtpldt0(sz10,xp) = sz10
    | esk26_1(sz10) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_267])]) ).

cnf(c_0_292,hypothesis,
    sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,esk29_0),
    i_0_220 ).

cnf(c_0_293,hypothesis,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
    i_0_200 ).

cnf(c_0_294,hypothesis,
    stldt0(sbsmnsldt0(cS2043)) = cS2076,
    inference(rw,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_295,hypothesis,
    ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
    | X1 != smndt0(sz10) ),
    i_0_139 ).

cnf(c_0_296,plain,
    ( aDivisorOf0(xp,sz00)
    | ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_286]),c_0_267])]) ).

cnf(c_0_297,hypothesis,
    sdtasdt0(xp,esk26_1(sdtpldt0(sz10,xp))) = sdtasdt0(xp,esk28_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_263]),c_0_290]) ).

cnf(c_0_298,hypothesis,
    aInteger0(esk26_1(sdtpldt0(sz10,xp))),
    inference(spm,[status(thm)],[c_0_274,c_0_263]) ).

cnf(c_0_299,hypothesis,
    ( sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,esk28_0)
    | esk26_1(sz10) = sz00 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_300,negated_conjecture,
    ( sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,esk29_0)
    | sdtpldt0(sz10,xp) = sz10 ),
    inference(spm,[status(thm)],[c_0_292,c_0_273]) ).

cnf(c_0_301,hypothesis,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,cS2076) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_288]),c_0_294]) ).

cnf(c_0_302,hypothesis,
    aElementOf0(smndt0(sz10),cS2076),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_288]),c_0_294])]) ).

cnf(c_0_303,hypothesis,
    ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    | ~ aInteger0(X1)
    | ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
    i_0_207 ).

cnf(c_0_304,plain,
    aDivisorOf0(xp,sz00),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_275]),c_0_281]),c_0_267]),c_0_268])]),c_0_269]) ).

cnf(c_0_305,plain,
    ( esk26_1(sdtpldt0(sz10,xp)) = sz00
    | sdtasdt0(xp,esk28_0) != sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_297]),c_0_268]),c_0_298])]),c_0_269]) ).

cnf(c_0_306,plain,
    ( sdtasdt0(xp,esk28_0) = sz00
    | esk26_1(sz10) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_299]),c_0_267])]) ).

cnf(c_0_307,plain,
    ( sdtpldt0(sz10,xp) = sz10
    | sdtasdt0(xp,esk29_0) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_300]),c_0_267])]) ).

cnf(c_0_308,hypothesis,
    aInteger0(esk29_0),
    i_0_221 ).

cnf(c_0_309,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_8 ).

cnf(c_0_310,hypothesis,
    aInteger0(smndt0(sz10)),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_311,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_7 ).

cnf(c_0_312,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_5 ).

cnf(c_0_313,plain,
    aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_286]),c_0_267])]),c_0_304])]) ).

cnf(c_0_314,plain,
    esk26_1(sz10) = sz00,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_291]),c_0_306]) ).

cnf(c_0_315,plain,
    ( sdtpldt0(sz10,xp) = sz10
    | esk29_0 = sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_307]),c_0_268]),c_0_308])]),c_0_269]) ).

cnf(c_0_316,hypothesis,
    sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp)) = sdtasdt0(xp,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_309]),c_0_270]),c_0_310])]) ).

cnf(c_0_317,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_309,c_0_311]),c_0_312]) ).

cnf(c_0_318,hypothesis,
    sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,sz00),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_313]),c_0_314]) ).

cnf(c_0_319,hypothesis,
    ( sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,esk28_0)
    | esk29_0 = sz00 ),
    inference(spm,[status(thm)],[c_0_290,c_0_315]) ).

cnf(c_0_320,hypothesis,
    sdtpldt0(xp,sdtpldt0(smndt0(sz10),sz10)) = sdtasdt0(xp,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_268]),c_0_267]),c_0_310])]) ).

cnf(c_0_321,plain,
    sdtasdt0(xp,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_318]),c_0_267])]) ).

cnf(c_0_322,plain,
    ( sdtasdt0(xp,esk28_0) = sz00
    | esk29_0 = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_319]),c_0_267])]) ).

cnf(c_0_323,plain,
    sdtasdt0(xp,esk28_0) = sdtpldt0(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_320,c_0_309]),c_0_318]),c_0_321]),c_0_267]),c_0_310])]) ).

cnf(c_0_324,hypothesis,
    aInteger0(sdtpldt0(sz10,smndt0(xp))),
    inference(spm,[status(thm)],[c_0_262,c_0_272]) ).

cnf(c_0_325,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aInteger0(X1) ),
    i_0_10 ).

cnf(c_0_326,plain,
    ( sdtpldt0(xp,sz00) = sz00
    | esk29_0 = sz00 ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_327,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aInteger0(X1) ),
    i_0_11 ).

cnf(c_0_328,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    i_0_4 ).

cnf(c_0_329,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aInteger0(X1) ),
    i_0_19 ).

cnf(c_0_330,plain,
    ( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
    | ~ aInteger0(X1) ),
    i_0_21 ).

cnf(c_0_331,plain,
    aInteger0(sz00),
    i_0_2 ).

cnf(c_0_332,hypothesis,
    sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sdtasdt0(xp,esk29_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_309]),c_0_324]),c_0_310])]) ).

cnf(c_0_333,plain,
    esk29_0 = sz00,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_268])]),c_0_269]) ).

cnf(c_0_334,hypothesis,
    sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp)) = sdtpldt0(xp,sz00),
    inference(rw,[status(thm)],[c_0_316,c_0_323]) ).

cnf(c_0_335,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_327]),c_0_328]) ).

cnf(c_0_336,plain,
    ( smndt0(sz00) = sz00
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_331])]) ).

cnf(c_0_337,hypothesis,
    sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sz00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_333]),c_0_321]) ).

cnf(c_0_338,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aInteger0(X1) ),
    i_0_9 ).

cnf(c_0_339,hypothesis,
    sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_268]),c_0_267])]) ).

cnf(c_0_340,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_328]),c_0_267])]) ).

cnf(c_0_341,hypothesis,
    ( sdtpldt0(sz00,smndt0(xp)) = sz00
    | ~ aInteger0(smndt0(xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_335]),c_0_267])]) ).

cnf(c_0_342,plain,
    sdtpldt0(xp,sz00) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_268])]) ).

cnf(c_0_343,plain,
    sdtpldt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_340]),c_0_331])]) ).

cnf(c_0_344,plain,
    ( smndt0(xp) = sz00
    | ~ aInteger0(smndt0(xp)) ),
    inference(spm,[status(thm)],[c_0_338,c_0_341]) ).

cnf(c_0_345,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_335,c_0_342]),c_0_343]),c_0_331]),c_0_268])]) ).

cnf(c_0_346,plain,
    smndt0(xp) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_328]),c_0_268])]) ).

cnf(c_0_347,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_346]),c_0_339]),c_0_342]),c_0_269]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM453+6 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n003.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 21:09:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected complete mode:
% 8.55/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.55/2.36  # No SInE strategy applied
% 8.55/2.36  # Trying AutoSched0 for 150 seconds
% 8.55/2.36  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.55/2.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.55/2.36  #
% 8.55/2.36  # Preprocessing time       : 0.025 s
% 8.55/2.36  
% 8.55/2.36  # Proof found!
% 8.55/2.36  # SZS status Theorem
% 8.55/2.36  # SZS output start CNFRefutation
% See solution above
% 8.55/2.37  # Training examples: 0 positive, 0 negative
% 8.55/2.37  
% 8.55/2.37  # -------------------------------------------------
% 8.55/2.37  # User time                : 0.091 s
% 8.55/2.37  # System time              : 0.012 s
% 8.55/2.37  # Total time               : 0.103 s
% 8.55/2.37  # Maximum resident set size: 7124 pages
% 8.55/2.37  
%------------------------------------------------------------------------------