TSTP Solution File: NUM428+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM428+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:35:53 EDT 2022
% Result : Theorem 10.33s 2.66s
% Output : CNFRefutation 10.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 36
% Syntax : Number of clauses : 184 ( 85 unt; 4 nHn; 184 RR)
% Number of literals : 348 ( 135 equ; 166 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-lee50yo7/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-lee50yo7/lgb.p',i_0_11) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_4) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_2) ).
cnf(i_0_43,negated_conjecture,
sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_43) ).
cnf(i_0_36,hypothesis,
aInteger0(xb),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_36) ).
cnf(i_0_5,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_5) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_12) ).
cnf(i_0_33,hypothesis,
aInteger0(xc),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_33) ).
cnf(i_0_8,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_8) ).
cnf(i_0_47,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_47) ).
cnf(i_0_37,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_37) ).
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-lee50yo7/lgb.p',i_0_18) ).
cnf(i_0_6,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_6) ).
cnf(i_0_22,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_22) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_3) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_10) ).
cnf(i_0_42,negated_conjecture,
aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_42) ).
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-lee50yo7/lgb.p',i_0_13) ).
cnf(i_0_15,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_15) ).
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-lee50yo7/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-lee50yo7/lgb.p',i_0_26) ).
cnf(i_0_35,hypothesis,
aInteger0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_35) ).
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-lee50yo7/lgb.p',i_0_32) ).
cnf(i_0_41,negated_conjecture,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_41) ).
cnf(i_0_34,hypothesis,
sz00 != xq,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_34) ).
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-lee50yo7/lgb.p',i_0_30) ).
cnf(i_0_19,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_19) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_14) ).
cnf(i_0_17,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_17) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_20) ).
cnf(i_0_21,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_21) ).
cnf(i_0_44,negated_conjecture,
aInteger0(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_44) ).
cnf(i_0_48,negated_conjecture,
aInteger0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_48) ).
cnf(i_0_40,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xc))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lee50yo7/lgb.p',i_0_40) ).
cnf(c_0_85,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_7 ).
cnf(c_0_86,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
i_0_11 ).
cnf(c_0_87,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_88,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
i_0_9 ).
cnf(c_0_89,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_90,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_91,negated_conjecture,
sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,esk3_0),
i_0_43 ).
cnf(c_0_92,hypothesis,
aInteger0(xb),
i_0_36 ).
cnf(c_0_93,plain,
( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_88]),c_0_89])]) ).
cnf(c_0_94,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_5 ).
cnf(c_0_95,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_96,negated_conjecture,
( sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(xc))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_97,hypothesis,
aInteger0(xc),
i_0_33 ).
cnf(c_0_98,negated_conjecture,
( sdtpldt0(sz00,sdtasdt0(xq,esk3_0)) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_91]),c_0_92])]) ).
cnf(c_0_99,negated_conjecture,
( aInteger0(sdtasdt0(xq,esk3_0))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_91]),c_0_92])]) ).
cnf(c_0_100,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_8 ).
cnf(c_0_101,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_95]),c_0_87]) ).
cnf(c_0_102,plain,
sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_87]),c_0_97])]) ).
cnf(c_0_103,plain,
sdtpldt0(sz00,sdtasdt0(xq,esk3_0)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_87]),c_0_97])]) ).
cnf(c_0_104,plain,
aInteger0(sdtasdt0(xq,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_87]),c_0_97])]) ).
cnf(c_0_105,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_100,c_0_85]),c_0_94]) ).
cnf(c_0_106,plain,
sdtpldt0(xb,sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104]),c_0_92])]) ).
cnf(c_0_107,plain,
( sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_92]),c_0_89])]) ).
cnf(c_0_108,plain,
sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_87]),c_0_97])]) ).
cnf(c_0_109,plain,
( sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_108]),c_0_92])]) ).
cnf(c_0_110,plain,
sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_87]),c_0_97])]) ).
cnf(c_0_111,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,esk2_0),
i_0_47 ).
cnf(c_0_112,hypothesis,
aInteger0(xa),
i_0_37 ).
cnf(c_0_113,plain,
sdtpldt0(xc,sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_110]),c_0_92]),c_0_97])]) ).
cnf(c_0_114,negated_conjecture,
( sdtpldt0(smndt0(xa),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xb))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_111]),c_0_112])]) ).
cnf(c_0_115,negated_conjecture,
( sdtpldt0(sz00,sdtasdt0(xq,esk2_0)) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_111]),c_0_112])]) ).
cnf(c_0_116,negated_conjecture,
( aInteger0(sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_111]),c_0_112])]) ).
cnf(c_0_117,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_118,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_6 ).
cnf(c_0_119,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xb)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_113]),c_0_104]),c_0_97])]) ).
cnf(c_0_120,plain,
sdtpldt0(smndt0(xa),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_87]),c_0_92])]) ).
cnf(c_0_121,plain,
sdtpldt0(sz00,sdtasdt0(xq,esk2_0)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_87]),c_0_92])]) ).
cnf(c_0_122,plain,
aInteger0(sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_87]),c_0_92])]) ).
cnf(c_0_123,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_117]),c_0_118]),c_0_118]) ).
cnf(c_0_124,plain,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_88]),c_0_92])]) ).
cnf(c_0_125,plain,
sdtpldt0(xa,sdtpldt0(sz00,smndt0(xb))) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_120]),c_0_121]),c_0_122]),c_0_112])]) ).
cnf(c_0_126,plain,
( aInteger0(sdtasdt0(X1,xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_92]),c_0_89])]) ).
cnf(c_0_127,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_22 ).
cnf(c_0_128,plain,
( sdtpldt0(sz00,sdtpldt0(smndt0(xb),xa)) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_125]),c_0_112]),c_0_89])]) ).
cnf(c_0_129,plain,
( aInteger0(smndt0(xb))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_92])]) ).
cnf(c_0_130,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_131,plain,
sdtpldt0(sz00,sdtpldt0(smndt0(xb),xa)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_87]),c_0_92])]) ).
cnf(c_0_132,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_111]),c_0_112])]) ).
cnf(c_0_133,plain,
aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_87]),c_0_130])]) ).
cnf(c_0_134,plain,
( sdtpldt0(smndt0(xb),xa) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_131]),c_0_112])]) ).
cnf(c_0_135,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]) ).
cnf(c_0_136,plain,
sdtpldt0(smndt0(xb),xa) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_87]),c_0_92])]) ).
cnf(c_0_137,plain,
( sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,xb)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_110]),c_0_92])]) ).
cnf(c_0_138,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_86]),c_0_92])]) ).
cnf(c_0_139,plain,
sdtpldt0(xb,sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_136]),c_0_112]),c_0_92])]) ).
cnf(c_0_140,plain,
sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_87]),c_0_97])]) ).
cnf(c_0_141,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
i_0_10 ).
cnf(c_0_142,plain,
sdtpldt0(xa,sz00) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_138]),c_0_139]),c_0_92]),c_0_122])]) ).
cnf(c_0_143,plain,
( sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(sz00,xb)
| ~ aInteger0(smndt0(smndt0(xc))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_140]),c_0_104])]) ).
cnf(c_0_144,negated_conjecture,
aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))),
i_0_42 ).
cnf(c_0_145,plain,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_112])]) ).
cnf(c_0_146,plain,
( sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(sz00,xb)
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_143,c_0_87]) ).
cnf(c_0_147,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_13 ).
cnf(c_0_148,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aInteger0(X1) ),
i_0_15 ).
cnf(c_0_149,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
i_0_25 ).
cnf(c_0_150,negated_conjecture,
aDivisorOf0(xq,sdtasdt0(xq,esk3_0)),
inference(rw,[status(thm)],[c_0_144,c_0_91]) ).
cnf(c_0_151,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
i_0_26 ).
cnf(c_0_152,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_85]),c_0_94]) ).
cnf(c_0_153,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),xb) = xa,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_142]),c_0_145]) ).
cnf(c_0_154,plain,
sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_87]),c_0_97])]) ).
cnf(c_0_155,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_130])]) ).
cnf(c_0_156,negated_conjecture,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,esk3_0),xq)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_104])]) ).
cnf(c_0_157,negated_conjecture,
aInteger0(esk1_2(sdtasdt0(xq,esk3_0),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_150]),c_0_104])]) ).
cnf(c_0_158,hypothesis,
aInteger0(xq),
i_0_35 ).
cnf(c_0_159,plain,
( sdtpldt0(smndt0(xb),sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0)))) = sz00
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_136]),c_0_112])]) ).
cnf(c_0_160,plain,
sdtpldt0(smndt0(sdtasdt0(xq,esk2_0)),xa) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_153]),c_0_124]),c_0_92]),c_0_122])]) ).
cnf(c_0_161,plain,
( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz10,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_148]),c_0_130])]) ).
cnf(c_0_162,plain,
sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = xb,
inference(rw,[status(thm)],[c_0_154,c_0_124]) ).
cnf(c_0_163,negated_conjecture,
sdtasdt0(sz10,sdtasdt0(xq,esk3_0)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158])]) ).
cnf(c_0_164,plain,
( sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_102]),c_0_103]),c_0_104])]) ).
cnf(c_0_165,plain,
( sdtpldt0(smndt0(xb),sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0)))) = sz00
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_87]),c_0_92])]) ).
cnf(c_0_166,plain,
( sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0))) = xb
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_160]),c_0_112])]) ).
cnf(c_0_167,plain,
( sdtasdt0(sz10,xb) = xb
| ~ aInteger0(smndt0(smndt0(xc))) ),
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_161,c_0_162]),c_0_163]),c_0_154]),c_0_124]),c_0_104])]) ).
cnf(c_0_168,plain,
sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_133])]) ).
cnf(c_0_169,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
i_0_32 ).
cnf(c_0_170,negated_conjecture,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
i_0_41 ).
cnf(c_0_171,hypothesis,
sz00 != xq,
i_0_34 ).
cnf(c_0_172,plain,
sdtpldt0(smndt0(xb),sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0)))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_87]),c_0_122])]) ).
cnf(c_0_173,plain,
sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0))) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_87]),c_0_122])]) ).
cnf(c_0_174,plain,
( sdtasdt0(sz10,xb) = xb
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_167,c_0_87]) ).
cnf(c_0_175,plain,
( sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_168,c_0_88]) ).
cnf(c_0_176,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_177,negated_conjecture,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
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_169,c_0_170]),c_0_92]),c_0_97]),c_0_158])]),c_0_171]) ).
cnf(c_0_178,plain,
( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtasdt0(sz10,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_148]),c_0_130])]) ).
cnf(c_0_179,plain,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(rw,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_180,plain,
sdtasdt0(sz10,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_87]),c_0_97])]) ).
cnf(c_0_181,plain,
sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_87]),c_0_97])]) ).
cnf(c_0_182,plain,
aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))),
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_176,c_0_177]),c_0_92]),c_0_97]),c_0_158])]),c_0_171]) ).
cnf(c_0_183,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aInteger0(X1) ),
i_0_19 ).
cnf(c_0_184,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_14 ).
cnf(c_0_185,plain,
sdtasdt0(sz10,sz00) = 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_178,c_0_179]),c_0_180]),c_0_179]),c_0_92]),c_0_133])]) ).
cnf(c_0_186,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_95]),c_0_89])]) ).
cnf(c_0_187,plain,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_100,c_0_181]) ).
cnf(c_0_188,plain,
( sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb))
| ~ aInteger0(sdtpldt0(xc,smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_149,c_0_182]) ).
cnf(c_0_189,plain,
( aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq))
| ~ aInteger0(sdtpldt0(xc,smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_151,c_0_182]) ).
cnf(c_0_190,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
i_0_17 ).
cnf(c_0_191,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
i_0_20 ).
cnf(c_0_192,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_183]),c_0_89])]) ).
cnf(c_0_193,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_89]),c_0_130])]) ).
cnf(c_0_194,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_87]),c_0_89])]) ).
cnf(c_0_195,plain,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_87]),c_0_97])]) ).
cnf(c_0_196,plain,
( sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_94]),c_0_97])]) ).
cnf(c_0_197,plain,
( aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_94]),c_0_97])]) ).
cnf(c_0_198,plain,
( sdtasdt0(sdtpldt0(X1,X2),sz00) = sdtpldt0(sdtasdt0(X1,sz00),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_89])]) ).
cnf(c_0_199,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_193]),c_0_130]),c_0_89])]) ).
cnf(c_0_200,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_194]),c_0_89])]) ).
cnf(c_0_201,plain,
sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_87]),c_0_133])]) ).
cnf(c_0_202,plain,
sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_87]),c_0_92])]) ).
cnf(c_0_203,plain,
aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_87]),c_0_92])]) ).
cnf(c_0_204,plain,
( sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,esk3_0),xq),X1)) = sdtasdt0(sdtasdt0(xq,esk3_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_156]),c_0_157]),c_0_158])]) ).
cnf(c_0_205,plain,
sdtasdt0(sdtasdt0(xq,esk3_0),sz00) = 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_198,c_0_103]),c_0_199]),c_0_200]),c_0_104]),c_0_89])]) ).
cnf(c_0_206,plain,
( sdtpldt0(sz00,smndt0(smndt0(xb))) = xb
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_201]),c_0_113]),c_0_124]),c_0_97])]) ).
cnf(c_0_207,plain,
( sdtasdt0(xq,sdtpldt0(X1,esk1_2(sdtpldt0(xc,smndt0(xb)),xq))) = sdtpldt0(sdtasdt0(xq,X1),sdtpldt0(xc,smndt0(xb)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_202]),c_0_203]),c_0_158])]) ).
cnf(c_0_208,plain,
sdtasdt0(xq,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_191]),c_0_205]),c_0_89]),c_0_157])]) ).
cnf(c_0_209,plain,
sdtpldt0(sz00,smndt0(smndt0(xb))) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_87]),c_0_133])]) ).
cnf(c_0_210,plain,
sdtpldt0(sz00,sdtpldt0(xc,smndt0(xb))) = sdtpldt0(xc,smndt0(xb)),
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_207,c_0_88]),c_0_202]),c_0_208]),c_0_89]),c_0_203])]) ).
cnf(c_0_211,plain,
( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_88]),c_0_89])]) ).
cnf(c_0_212,plain,
( smndt0(smndt0(xb)) = xb
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_88,c_0_209]) ).
cnf(c_0_213,plain,
sdtpldt0(smndt0(xb),xc) = sdtpldt0(xc,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_133]),c_0_97])]) ).
cnf(c_0_214,plain,
smndt0(smndt0(xb)) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_87]),c_0_133])]) ).
cnf(c_0_215,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(X2,sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_86]),c_0_87]) ).
cnf(c_0_216,plain,
sdtpldt0(xb,sdtpldt0(xc,smndt0(xb))) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_213]),c_0_214]),c_0_97]),c_0_133])]) ).
cnf(c_0_217,plain,
sdtpldt0(xc,sz00) = sdtpldt0(sz00,xc),
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_215,c_0_213]),c_0_214]),c_0_216]),c_0_97]),c_0_133])]) ).
cnf(c_0_218,plain,
( aInteger0(sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_190]),c_0_118]),c_0_118]) ).
cnf(c_0_219,plain,
sdtpldt0(sz00,xc) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_217]),c_0_97])]) ).
cnf(c_0_220,plain,
( aInteger0(sdtasdt0(xc,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_97]),c_0_89])]) ).
cnf(c_0_221,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_21 ).
cnf(c_0_222,plain,
( aInteger0(smndt0(xc))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_97])]) ).
cnf(c_0_223,plain,
aInteger0(smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_87]),c_0_130])]) ).
cnf(c_0_224,negated_conjecture,
( sdtpldt0(smndt0(xc),sdtpldt0(X1,xb)) = sdtpldt0(X1,sdtasdt0(xq,esk3_0))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_91]),c_0_92])]),c_0_223])]) ).
cnf(c_0_225,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),sdtasdt0(xq,esk3_0)) = sdtpldt0(smndt0(xc),xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_153]),c_0_122])]) ).
cnf(c_0_226,negated_conjecture,
aInteger0(esk3_0),
i_0_44 ).
cnf(c_0_227,negated_conjecture,
aInteger0(esk2_0),
i_0_48 ).
cnf(c_0_228,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xc))
| ~ aInteger0(X1) ),
i_0_40 ).
cnf(c_0_229,plain,
sdtasdt0(xq,sdtpldt0(esk2_0,esk3_0)) = sdtpldt0(smndt0(xc),xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_225]),c_0_226]),c_0_227]),c_0_158])]) ).
cnf(c_0_230,negated_conjecture,
( sdtpldt0(smndt0(xc),xa) != sdtpldt0(xa,smndt0(xc))
| ~ aInteger0(sdtpldt0(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_231,plain,
~ aInteger0(sdtpldt0(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_100]),c_0_112]),c_0_223])]) ).
cnf(c_0_232,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_94]),c_0_226]),c_0_227])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM428+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 00:45:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 10.33/2.66 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.33/2.66 # No SInE strategy applied
% 10.33/2.66 # Trying AutoSched0 for 150 seconds
% 10.33/2.66 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 10.33/2.66 # and selection function SelectNewComplexAHP.
% 10.33/2.66 #
% 10.33/2.66 # Preprocessing time : 0.024 s
% 10.33/2.66 # Presaturation interreduction done
% 10.33/2.66
% 10.33/2.66 # Proof found!
% 10.33/2.66 # SZS status Theorem
% 10.33/2.66 # SZS output start CNFRefutation
% See solution above
% 10.33/2.66 # Training examples: 0 positive, 0 negative
% 10.33/2.66
% 10.33/2.66 # -------------------------------------------------
% 10.33/2.66 # User time : 0.399 s
% 10.33/2.66 # System time : 0.018 s
% 10.33/2.66 # Total time : 0.416 s
% 10.33/2.66 # Maximum resident set size: 7124 pages
% 10.33/2.66
%------------------------------------------------------------------------------