TSTP Solution File: NUM447+5 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM447+5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:36:05 EDT 2022
% Result : Theorem 21.29s 4.12s
% Output : CNFRefutation 21.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 46
% Syntax : Number of clauses : 155 ( 19 unt; 60 nHn; 155 RR)
% Number of literals : 440 ( 98 equ; 233 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 170 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_9) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_12) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_2) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_4) ).
cnf(i_0_95,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| X4 != szAzrzSzezqlpdtcmdtrp0(X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_95) ).
cnf(i_0_129,hypothesis,
( aDivisorOf0(esk16_1(X1),sdtpldt0(X2,smndt0(sz00)))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_129) ).
cnf(i_0_124,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_124) ).
cnf(i_0_136,hypothesis,
( aInteger0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_136) ).
cnf(i_0_135,hypothesis,
( esk16_1(X1) != sz00
| ~ aElementOf0(X1,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_135) ).
cnf(i_0_132,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_132) ).
cnf(i_0_114,hypothesis,
( X1 = sz00
| aElementOf0(X2,xS)
| szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X2
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_114) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_10) ).
cnf(i_0_125,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,esk16_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_125) ).
cnf(i_0_127,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| sdtasdt0(esk16_1(X2),X3) != sdtpldt0(X1,smndt0(sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X2,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_127) ).
cnf(i_0_134,hypothesis,
( isPrime0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_134) ).
cnf(i_0_140,negated_conjecture,
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(xn,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_140) ).
cnf(i_0_158,negated_conjecture,
( aDivisorOf0(esk20_0,xn)
| aElementOf0(xn,sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_158) ).
cnf(i_0_157,negated_conjecture,
( isPrime0(esk20_0)
| aElementOf0(xn,sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_157) ).
cnf(i_0_139,negated_conjecture,
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn)
| ~ aElementOf0(xn,sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_139) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_20) ).
cnf(i_0_138,hypothesis,
aInteger0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_138) ).
cnf(i_0_24,plain,
( X1 = sz00
| aDivisorOf0(X1,X2)
| sdtasdt0(X1,X3) != X2
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_24) ).
cnf(i_0_6,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_6) ).
cnf(i_0_173,negated_conjecture,
( isPrime0(esk20_0)
| aElementOf0(esk19_0,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_173) ).
cnf(i_0_178,negated_conjecture,
( aInteger0(esk20_0)
| aElementOf0(esk19_0,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_178) ).
cnf(i_0_177,negated_conjecture,
( aElementOf0(esk19_0,xS)
| esk20_0 != sz00 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_177) ).
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/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_29) ).
cnf(i_0_28,plain,
( aInteger0(X1)
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_28) ).
cnf(i_0_21,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_21) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_3) ).
cnf(i_0_169,negated_conjecture,
( aElementOf0(xn,esk19_0)
| esk20_0 != sz00 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_169) ).
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-43citg72/input.p',i_0_23) ).
cnf(i_0_35,plain,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X3,X4,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X4,sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_35) ).
cnf(i_0_175,negated_conjecture,
( sdtasdt0(esk20_0,esk21_0) = xn
| aElementOf0(esk19_0,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_175) ).
cnf(i_0_176,negated_conjecture,
( aInteger0(esk21_0)
| aElementOf0(esk19_0,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_176) ).
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-43citg72/input.p',i_0_32) ).
cnf(i_0_174,negated_conjecture,
( aDivisorOf0(esk20_0,xn)
| aElementOf0(esk19_0,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_174) ).
cnf(i_0_167,negated_conjecture,
( sdtasdt0(esk20_0,esk21_0) = xn
| aElementOf0(xn,esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_167) ).
cnf(i_0_168,negated_conjecture,
( aInteger0(esk21_0)
| aElementOf0(xn,esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_168) ).
cnf(i_0_170,negated_conjecture,
( aInteger0(esk20_0)
| aElementOf0(xn,esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_170) ).
cnf(i_0_166,negated_conjecture,
( aDivisorOf0(esk20_0,xn)
| aElementOf0(xn,esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_166) ).
cnf(i_0_165,negated_conjecture,
( isPrime0(esk20_0)
| aElementOf0(xn,esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_165) ).
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-43citg72/input.p',i_0_13) ).
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-43citg72/input.p',i_0_94) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_14) ).
cnf(i_0_143,negated_conjecture,
( sdtasdt0(esk20_0,esk21_0) = xn
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-43citg72/input.p',i_0_143) ).
cnf(c_0_225,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
i_0_9 ).
cnf(c_0_226,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_227,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_228,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227])]) ).
cnf(c_0_229,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_230,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| X4 != szAzrzSzezqlpdtcmdtrp0(X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X2,X4) ),
i_0_95 ).
cnf(c_0_231,hypothesis,
( aDivisorOf0(esk16_1(X1),sdtpldt0(X2,smndt0(sz00)))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1))) ),
i_0_129 ).
cnf(c_0_232,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_227])]) ).
cnf(c_0_233,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_230]) ).
cnf(c_0_234,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
i_0_124 ).
cnf(c_0_235,hypothesis,
( aInteger0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
i_0_136 ).
cnf(c_0_236,hypothesis,
( esk16_1(X1) != sz00
| ~ aElementOf0(X1,xS) ),
i_0_135 ).
cnf(c_0_237,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2))) ),
i_0_132 ).
cnf(c_0_238,hypothesis,
( X1 = sz00
| aElementOf0(X2,xS)
| szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X2
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
i_0_114 ).
cnf(c_0_239,hypothesis,
( aDivisorOf0(esk16_1(X1),sdtpldt0(X2,sz00))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(rw,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_240,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
i_0_10 ).
cnf(c_0_241,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,esk16_1(X2)) ),
i_0_125 ).
cnf(c_0_242,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,sz00,esk16_1(X2))
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_227])]),c_0_235]),c_0_236]) ).
cnf(c_0_243,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(spm,[status(thm)],[c_0_237,c_0_234]) ).
cnf(c_0_244,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| sdtasdt0(esk16_1(X2),X3) != sdtpldt0(X1,smndt0(sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X2,xS) ),
i_0_127 ).
cnf(c_0_245,hypothesis,
( X1 = sz00
| aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X1),xS)
| ~ isPrime0(X1)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_238]) ).
cnf(c_0_246,hypothesis,
( isPrime0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
i_0_134 ).
cnf(c_0_247,plain,
( aDivisorOf0(esk16_1(X1),X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_237]) ).
cnf(c_0_248,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]) ).
cnf(c_0_249,negated_conjecture,
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(xn,X2) ),
i_0_140 ).
cnf(c_0_250,negated_conjecture,
( aDivisorOf0(esk20_0,xn)
| aElementOf0(xn,sbsmnsldt0(xS)) ),
i_0_158 ).
cnf(c_0_251,negated_conjecture,
( isPrime0(esk20_0)
| aElementOf0(xn,sbsmnsldt0(xS)) ),
i_0_157 ).
cnf(c_0_252,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| sdtasdt0(esk16_1(X2),X3) != sdtpldt0(X1,sz00)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_244,c_0_232]) ).
cnf(c_0_253,hypothesis,
( aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)),xS)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_235]),c_0_236]) ).
cnf(c_0_254,negated_conjecture,
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn)
| ~ aElementOf0(xn,sbsmnsldt0(xS)) ),
i_0_139 ).
cnf(c_0_255,hypothesis,
( aDivisorOf0(esk16_1(X1),X2)
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(X2,X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_256,negated_conjecture,
( aElementOf0(xn,sbsmnsldt0(xS))
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(xn,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
cnf(c_0_257,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))))
| sdtasdt0(esk16_1(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2))),X3) != sdtpldt0(X1,sz00)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_258,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
i_0_20 ).
cnf(c_0_259,negated_conjecture,
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(xn,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_246]) ).
cnf(c_0_260,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))))
| sdtpldt0(X1,sz00) != sz00
| ~ aElementOf0(X2,xS)
| ~ aInteger0(esk16_1(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2))))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_227])]) ).
cnf(c_0_261,hypothesis,
( ~ aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_259,c_0_253]) ).
cnf(c_0_262,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| sdtpldt0(X1,sz00) != sz00
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_234]),c_0_235]) ).
cnf(c_0_263,hypothesis,
aInteger0(xn),
i_0_138 ).
cnf(c_0_264,plain,
( X1 = sz00
| aDivisorOf0(X1,X2)
| sdtasdt0(X1,X3) != X2
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
i_0_24 ).
cnf(c_0_265,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_6 ).
cnf(c_0_266,hypothesis,
( sdtpldt0(xn,sz00) != sz00
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263])]) ).
cnf(c_0_267,negated_conjecture,
( isPrime0(esk20_0)
| aElementOf0(esk19_0,xS) ),
i_0_173 ).
cnf(c_0_268,negated_conjecture,
( aInteger0(esk20_0)
| aElementOf0(esk19_0,xS) ),
i_0_178 ).
cnf(c_0_269,negated_conjecture,
( aElementOf0(esk19_0,xS)
| esk20_0 != sz00 ),
i_0_177 ).
cnf(c_0_270,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_264]),c_0_265]) ).
cnf(c_0_271,plain,
( xn != sz00
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_240]),c_0_263])]) ).
cnf(c_0_272,negated_conjecture,
( aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0),xS)
| aElementOf0(esk19_0,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_267]),c_0_268]),c_0_269]) ).
cnf(c_0_273,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_270,c_0_229]) ).
cnf(c_0_274,negated_conjecture,
xn != sz00,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_271]) ).
cnf(c_0_275,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_276,plain,
( aInteger0(X1)
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
i_0_28 ).
cnf(c_0_277,hypothesis,
( aDivisorOf0(xn,sdtasdt0(xn,smndt0(X1)))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_263]),c_0_274]) ).
cnf(c_0_278,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_21 ).
cnf(c_0_279,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_280,negated_conjecture,
( aElementOf0(xn,esk19_0)
| esk20_0 != sz00 ),
i_0_169 ).
cnf(c_0_281,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(sz00,X2,X1)
| ~ aDivisorOf0(X1,smndt0(X2))
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_225]),c_0_227])]),c_0_276]),c_0_229]) ).
cnf(c_0_282,plain,
aDivisorOf0(xn,smndt0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]),c_0_263])]) ).
cnf(c_0_283,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_23 ).
cnf(c_0_284,plain,
( X1 = sz00
| X2 = sz00
| sdteqdtlpzmzozddtrp0(X3,X4,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X4,sdtasdt0(X2,X1)) ),
i_0_35 ).
cnf(c_0_285,negated_conjecture,
( sdtasdt0(esk20_0,esk21_0) = xn
| aElementOf0(esk19_0,xS) ),
i_0_175 ).
cnf(c_0_286,negated_conjecture,
esk20_0 != sz00,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_269]),c_0_280]) ).
cnf(c_0_287,negated_conjecture,
( aInteger0(esk21_0)
| aElementOf0(esk19_0,xS) ),
i_0_176 ).
cnf(c_0_288,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
i_0_32 ).
cnf(c_0_289,plain,
sdteqdtlpzmzozddtrp0(sz00,xn,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_263])]),c_0_274]) ).
cnf(c_0_290,negated_conjecture,
( aDivisorOf0(esk20_0,xn)
| aElementOf0(esk19_0,xS) ),
i_0_174 ).
cnf(c_0_291,negated_conjecture,
( sdtasdt0(esk20_0,esk21_0) = xn
| aElementOf0(xn,esk19_0) ),
i_0_167 ).
cnf(c_0_292,negated_conjecture,
( aInteger0(esk21_0)
| aElementOf0(xn,esk19_0) ),
i_0_168 ).
cnf(c_0_293,negated_conjecture,
( aInteger0(esk20_0)
| aElementOf0(xn,esk19_0) ),
i_0_170 ).
cnf(c_0_294,negated_conjecture,
( aDivisorOf0(esk20_0,xn)
| aElementOf0(xn,esk19_0) ),
i_0_166 ).
cnf(c_0_295,negated_conjecture,
( isPrime0(esk20_0)
| aElementOf0(xn,esk19_0) ),
i_0_165 ).
cnf(c_0_296,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_13 ).
cnf(c_0_297,plain,
( X1 = sz00
| sdtasdt0(X1,X1) != sz00
| ~ aInteger0(X1) ),
inference(ef,[status(thm)],[c_0_283]) ).
cnf(c_0_298,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_299,negated_conjecture,
( esk21_0 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,esk20_0)
| aElementOf0(esk19_0,xS)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,xn)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_286]),c_0_287]),c_0_268]) ).
cnf(c_0_300,plain,
sdteqdtlpzmzozddtrp0(xn,sz00,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_227]),c_0_263])]),c_0_274]) ).
cnf(c_0_301,negated_conjecture,
( aElementOf0(esk19_0,xS)
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(xn,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_290]),c_0_267]) ).
cnf(c_0_302,negated_conjecture,
( esk21_0 = sz00
| sdteqdtlpzmzozddtrp0(X1,X2,esk20_0)
| aElementOf0(xn,esk19_0)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,xn)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_291]),c_0_286]),c_0_292]),c_0_293]) ).
cnf(c_0_303,negated_conjecture,
( aElementOf0(xn,esk19_0)
| ~ aElementOf0(X1,xS)
| ~ aElementOf0(xn,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_294]),c_0_295]) ).
cnf(c_0_304,negated_conjecture,
( aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0),xS)
| aElementOf0(xn,esk19_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_295]),c_0_293]),c_0_280]) ).
cnf(c_0_305,negated_conjecture,
( sdtasdt0(esk20_0,sdtasdt0(esk21_0,X1)) = sdtasdt0(xn,X1)
| aElementOf0(xn,esk19_0)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_291]),c_0_293]),c_0_292]) ).
cnf(c_0_306,plain,
( sdtasdt0(X1,X2) = sz00
| sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))) != sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_296]),c_0_265]) ).
cnf(c_0_307,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_298]) ).
cnf(c_0_308,plain,
( esk21_0 = sz00
| sdteqdtlpzmzozddtrp0(xn,sz00,esk20_0)
| aElementOf0(esk19_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_227]),c_0_263])]) ).
cnf(c_0_309,negated_conjecture,
( aElementOf0(esk19_0,xS)
| ~ aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0)) ),
inference(spm,[status(thm)],[c_0_301,c_0_272]) ).
cnf(c_0_310,plain,
( esk21_0 = sz00
| sdteqdtlpzmzozddtrp0(xn,sz00,esk20_0)
| aElementOf0(xn,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_300]),c_0_227]),c_0_263])]) ).
cnf(c_0_311,negated_conjecture,
( aElementOf0(xn,esk19_0)
| ~ aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0)) ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_312,plain,
( sdtasdt0(esk20_0,sz00) = sdtasdt0(xn,sz00)
| aElementOf0(xn,esk19_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_258]),c_0_227])]),c_0_292]) ).
cnf(c_0_313,negated_conjecture,
( aElementOf0(esk19_0,xS)
| sdtasdt0(esk20_0,sdtasdt0(esk21_0,xn)) != sz00 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_285]),c_0_274]),c_0_268]),c_0_287]) ).
cnf(c_0_314,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_14 ).
cnf(c_0_315,plain,
( esk21_0 = sz00
| aElementOf0(esk19_0,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_227]),c_0_263])]),c_0_286]),c_0_268]),c_0_309]) ).
cnf(c_0_316,plain,
( esk21_0 = sz00
| aElementOf0(xn,esk19_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_310]),c_0_227]),c_0_263])]),c_0_286]),c_0_293]),c_0_311]) ).
cnf(c_0_317,plain,
( aElementOf0(xn,esk19_0)
| aInteger0(sdtasdt0(xn,sz00)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_312]),c_0_227])]),c_0_293]) ).
cnf(c_0_318,plain,
( aElementOf0(esk19_0,xS)
| sdtasdt0(esk20_0,sdtasdt0(xn,esk21_0)) != sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_263])]),c_0_287]) ).
cnf(c_0_319,negated_conjecture,
esk21_0 = sz00,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_315]),c_0_316]) ).
cnf(c_0_320,negated_conjecture,
( sdtasdt0(esk20_0,sdtasdt0(esk21_0,sdtasdt0(xn,sz00))) = sdtasdt0(xn,sdtasdt0(xn,sz00))
| aElementOf0(xn,esk19_0) ),
inference(spm,[status(thm)],[c_0_305,c_0_317]) ).
cnf(c_0_321,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_258,c_0_296]),c_0_227])]),c_0_265]) ).
cnf(c_0_322,plain,
( aElementOf0(esk19_0,xS)
| sdtasdt0(esk20_0,sdtasdt0(xn,sz00)) != sz00 ),
inference(rw,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_323,negated_conjecture,
( sdtasdt0(xn,sdtasdt0(xn,sz00)) = sdtasdt0(esk20_0,sz00)
| aElementOf0(xn,esk19_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_263])]),c_0_292]) ).
cnf(c_0_324,plain,
aElementOf0(esk19_0,xS),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_321]),c_0_263])]),c_0_268]) ).
cnf(c_0_325,negated_conjecture,
( sdtasdt0(esk20_0,esk21_0) = xn
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,xn) ),
i_0_143 ).
cnf(c_0_326,plain,
( sdtasdt0(esk20_0,sz00) = sz00
| aElementOf0(xn,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_323]),c_0_263])]) ).
cnf(c_0_327,negated_conjecture,
~ aElementOf0(xn,esk19_0),
inference(spm,[status(thm)],[c_0_259,c_0_324]) ).
cnf(c_0_328,negated_conjecture,
( sdtasdt0(esk20_0,sz00) = xn
| ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1) ),
inference(rw,[status(thm)],[c_0_325,c_0_319]) ).
cnf(c_0_329,plain,
sdtasdt0(esk20_0,sz00) = sz00,
inference(sr,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_330,negated_conjecture,
( ~ aDivisorOf0(X1,xn)
| ~ isPrime0(X1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_329]),c_0_274]) ).
cnf(c_0_331,negated_conjecture,
aDivisorOf0(esk20_0,xn),
inference(sr,[status(thm)],[c_0_294,c_0_327]) ).
cnf(c_0_332,negated_conjecture,
isPrime0(esk20_0),
inference(sr,[status(thm)],[c_0_295,c_0_327]) ).
cnf(c_0_333,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM447+5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n004.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 : Thu Jul 7 09:14:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 21.29/4.12 # ENIGMATIC: Solved by autoschedule:
% 21.29/4.12 # No SInE strategy applied
% 21.29/4.12 # Trying AutoSched0 for 150 seconds
% 21.29/4.12 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 21.29/4.12 # and selection function PSelectComplexExceptUniqMaxHorn.
% 21.29/4.12 #
% 21.29/4.12 # Preprocessing time : 0.021 s
% 21.29/4.12 # Presaturation interreduction done
% 21.29/4.12
% 21.29/4.12 # Proof found!
% 21.29/4.12 # SZS status Theorem
% 21.29/4.12 # SZS output start CNFRefutation
% See solution above
% 21.29/4.12 # Training examples: 0 positive, 0 negative
% 21.29/4.12
% 21.29/4.12 # -------------------------------------------------
% 21.29/4.12 # User time : 1.680 s
% 21.29/4.12 # System time : 0.060 s
% 21.29/4.12 # Total time : 1.741 s
% 21.29/4.12 # Maximum resident set size: 7120 pages
% 21.29/4.12
%------------------------------------------------------------------------------