TSTP Solution File: NUM454+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM454+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 8.18s 2.56s
% Output : CNFRefutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of clauses : 102 ( 46 unt; 12 nHn; 102 RR)
% Number of literals : 225 ( 89 equ; 113 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-p4usaim0/lgb.p',i_0_96) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_12) ).
cnf(i_0_126,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_126) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_3) ).
cnf(i_0_122,hypothesis,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_122) ).
cnf(i_0_120,hypothesis,
aInteger0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_120) ).
cnf(i_0_119,hypothesis,
xp != sz00,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_119) ).
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-p4usaim0/lgb.p',i_0_7) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_11) ).
cnf(i_0_125,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_125) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_10) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_4) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_2) ).
cnf(i_0_8,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_8) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_9) ).
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/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_95) ).
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-p4usaim0/lgb.p',i_0_32) ).
cnf(i_0_30,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_30) ).
cnf(i_0_22,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_22) ).
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-p4usaim0/lgb.p',i_0_13) ).
cnf(i_0_25,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_25) ).
cnf(i_0_26,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_26) ).
cnf(i_0_21,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_21) ).
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-p4usaim0/lgb.p',i_0_18) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p4usaim0/lgb.p',i_0_14) ).
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-p4usaim0/lgb.p',i_0_23) ).
cnf(c_0_153,plain,
( X1 = sz00
| aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X2,X3) ),
i_0_96 ).
cnf(c_0_154,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_155,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
i_0_126 ).
cnf(c_0_156,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_157,plain,
( X1 = sz00
| aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_153]) ).
cnf(c_0_158,hypothesis,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
i_0_122 ).
cnf(c_0_159,hypothesis,
aInteger0(xp),
i_0_120 ).
cnf(c_0_160,hypothesis,
xp != sz00,
i_0_119 ).
cnf(c_0_161,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_7 ).
cnf(c_0_162,negated_conjecture,
sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]) ).
cnf(c_0_163,hypothesis,
aInteger0(sdtpldt0(sz10,xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_156]),c_0_159])]),c_0_160]) ).
cnf(c_0_164,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
i_0_11 ).
cnf(c_0_165,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
i_0_125 ).
cnf(c_0_166,plain,
( sdtpldt0(sz10,sdtpldt0(sdtpldt0(sz10,xp),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]),c_0_156])]) ).
cnf(c_0_167,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_155]),c_0_156])]) ).
cnf(c_0_168,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,xp),
inference(rw,[status(thm)],[c_0_165,c_0_155]) ).
cnf(c_0_169,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
i_0_10 ).
cnf(c_0_170,negated_conjecture,
sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_156])]) ).
cnf(c_0_171,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_161,c_0_168]),c_0_156])]) ).
cnf(c_0_172,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_173,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_156])]) ).
cnf(c_0_174,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_175,plain,
( sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1)) = sdtpldt0(sdtpldt0(sz10,xp),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_159])]) ).
cnf(c_0_176,negated_conjecture,
sdtpldt0(sz10,sz00) = sz10,
inference(rw,[status(thm)],[c_0_170,c_0_173]) ).
cnf(c_0_177,plain,
( sdtpldt0(sz00,sdtpldt0(sz10,X1)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_173]),c_0_156]),c_0_174])]) ).
cnf(c_0_178,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_8 ).
cnf(c_0_179,plain,
sdtpldt0(sdtpldt0(sz10,xp),xp) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_164]),c_0_176]),c_0_159])]) ).
cnf(c_0_180,plain,
( sdtpldt0(sz00,sdtpldt0(X1,sz10)) = sdtpldt0(X1,sz10)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_156])]) ).
cnf(c_0_181,plain,
sdtpldt0(sz10,sz10) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_179]),c_0_159])]) ).
cnf(c_0_182,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xp)) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_156])]) ).
cnf(c_0_183,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
i_0_9 ).
cnf(c_0_184,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| X4 != szAzrzSzezqlpdtcmdtrp0(X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X2,X4) ),
i_0_95 ).
cnf(c_0_185,plain,
sdtpldt0(sz00,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_159])]) ).
cnf(c_0_186,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_184]) ).
cnf(c_0_187,plain,
( sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xp))) = sz10
| ~ aInteger0(smndt0(sdtpldt0(sz10,xp))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_154]),c_0_163])]),c_0_176]) ).
cnf(c_0_188,plain,
sdtpldt0(sz10,sz10) = xp,
inference(rw,[status(thm)],[c_0_181,c_0_185]) ).
cnf(c_0_189,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
i_0_32 ).
cnf(c_0_190,hypothesis,
sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_158]),c_0_156]),c_0_159])]),c_0_160]) ).
cnf(c_0_191,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xp))) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_172]),c_0_163])]) ).
cnf(c_0_192,plain,
( sdtpldt0(sz10,sdtpldt0(sz10,X1)) = sdtpldt0(xp,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_188]),c_0_156])]) ).
cnf(c_0_193,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1) ),
i_0_30 ).
cnf(c_0_194,plain,
sdteqdtlpzmzozddtrp0(sz10,sdtpldt0(sz10,xp),xp),
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_189,c_0_190]),c_0_163]),c_0_156]),c_0_159])]),c_0_160]) ).
cnf(c_0_195,plain,
( smndt0(sdtpldt0(sz10,xp)) = sz10
| ~ aInteger0(smndt0(sdtpldt0(sz10,xp))) ),
inference(spm,[status(thm)],[c_0_183,c_0_191]) ).
cnf(c_0_196,negated_conjecture,
sdtpldt0(xp,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_192]),c_0_159])]) ).
cnf(c_0_197,plain,
aDivisorOf0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp)))),
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_193,c_0_194]),c_0_163]),c_0_156]),c_0_159])]),c_0_160]) ).
cnf(c_0_198,plain,
smndt0(sdtpldt0(sz10,xp)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_172]),c_0_163])]) ).
cnf(c_0_199,plain,
( sdtpldt0(xp,sdtpldt0(xp,X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_196]),c_0_159])]) ).
cnf(c_0_200,plain,
sdtpldt0(xp,sz00) = 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_192,c_0_169]),c_0_181]),c_0_185]),c_0_174]),c_0_156])]) ).
cnf(c_0_201,plain,
aDivisorOf0(xp,sdtpldt0(sz10,sz10)),
inference(rw,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_202,plain,
( sdtpldt0(sz00,smndt0(xp)) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_154]),c_0_200]),c_0_159])]) ).
cnf(c_0_203,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_22 ).
cnf(c_0_204,plain,
aDivisorOf0(xp,sdtpldt0(sz00,xp)),
inference(rw,[status(thm)],[c_0_201,c_0_181]) ).
cnf(c_0_205,plain,
sdtpldt0(sz00,smndt0(xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_172]),c_0_159])]) ).
cnf(c_0_206,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_13 ).
cnf(c_0_207,plain,
( sdtasdt0(sdtpldt0(sz10,xp),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_203,c_0_155]) ).
cnf(c_0_208,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
i_0_25 ).
cnf(c_0_209,plain,
aDivisorOf0(xp,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_183]),c_0_159])]) ).
cnf(c_0_210,plain,
( smndt0(xp) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_183,c_0_205]) ).
cnf(c_0_211,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
i_0_26 ).
cnf(c_0_212,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_21 ).
cnf(c_0_213,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_206,c_0_207]),c_0_163])]) ).
cnf(c_0_214,plain,
sdtasdt0(xp,esk1_2(xp,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_159])]) ).
cnf(c_0_215,plain,
smndt0(xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_172]),c_0_159])]) ).
cnf(c_0_216,plain,
aInteger0(esk1_2(xp,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_209]),c_0_159])]) ).
cnf(c_0_217,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_218,plain,
( sdtasdt0(X1,sdtpldt0(sz10,xp)) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_212,c_0_155]) ).
cnf(c_0_219,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_14 ).
cnf(c_0_220,plain,
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(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_214]),c_0_216]),c_0_159])]) ).
cnf(c_0_221,plain,
( sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(xp,X1)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_179]),c_0_159]),c_0_163])]) ).
cnf(c_0_222,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_188]),c_0_156])]) ).
cnf(c_0_223,plain,
( sdtpldt0(sdtasdt0(X1,X2),smndt0(X1)) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sz10,xp)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_163])]) ).
cnf(c_0_224,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_219,c_0_220]),c_0_159]),c_0_163])]) ).
cnf(c_0_225,plain,
sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_181]),c_0_185]),c_0_156])]) ).
cnf(c_0_226,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_23 ).
cnf(c_0_227,plain,
sdtasdt0(xp,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_223,c_0_224]),c_0_215]),c_0_196]),c_0_225]),c_0_163]),c_0_159])]) ).
cnf(c_0_228,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_159])]),c_0_160]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM454+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jul 6 12:57:54 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 8.18/2.56 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.18/2.56 # No SInE strategy applied
% 8.18/2.56 # Trying AutoSched0 for 150 seconds
% 8.18/2.56 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.18/2.56 # and selection function SelectNewComplexAHP.
% 8.18/2.56 #
% 8.18/2.56 # Preprocessing time : 0.014 s
% 8.18/2.56 # Presaturation interreduction done
% 8.18/2.56
% 8.18/2.56 # Proof found!
% 8.18/2.56 # SZS status Theorem
% 8.18/2.56 # SZS output start CNFRefutation
% See solution above
% 8.18/2.56 # Training examples: 0 positive, 0 negative
% 8.18/2.56
% 8.18/2.56 # -------------------------------------------------
% 8.18/2.56 # User time : 0.086 s
% 8.18/2.56 # System time : 0.010 s
% 8.18/2.56 # Total time : 0.096 s
% 8.18/2.56 # Maximum resident set size: 7124 pages
% 8.18/2.56
%------------------------------------------------------------------------------