TSTP Solution File: NUM442+6 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM442+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 08:36:02 EDT 2022
% Result : Theorem 9.30s 2.46s
% Output : CNFRefutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 34
% Syntax : Number of clauses : 124 ( 23 unt; 39 nHn; 124 RR)
% Number of literals : 365 ( 39 equ; 210 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_155,plain,
( epred1_0
| aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_155) ).
cnf(i_0_127,negated_conjecture,
( aInteger0(X1)
| ~ epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_127) ).
cnf(i_0_116,negated_conjecture,
( aElementOf0(esk17_0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_116) ).
cnf(i_0_115,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk17_0,cS1395) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_115) ).
cnf(i_0_117,negated_conjecture,
( aElementOf0(X1,cS1395)
| ~ epred1_0
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_117) ).
cnf(i_0_150,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdtasdt0(xq,X2) != sdtpldt0(X1,smndt0(xa))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_150) ).
cnf(i_0_122,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdtasdt0(xq,X2) != sdtpldt0(X1,smndt0(xa))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_122) ).
cnf(i_0_133,plain,
( X1 = sz00
| epred1_0
| aElementOf0(esk21_1(X1),szAzrzSzezqlpdtcmdtrp0(esk19_0,X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_133) ).
cnf(i_0_146,plain,
( epred1_0
| aInteger0(X1)
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_146) ).
cnf(i_0_143,plain,
( epred1_0
| aElementOf0(esk19_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_143) ).
cnf(i_0_152,plain,
( epred1_0
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_152) ).
cnf(i_0_124,negated_conjecture,
( aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| ~ epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_124) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_12) ).
cnf(i_0_113,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_113) ).
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-t800fmzf/input.p',i_0_95) ).
cnf(i_0_112,hypothesis,
aInteger0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_112) ).
cnf(i_0_111,hypothesis,
sz00 != xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_111) ).
cnf(i_0_96,plain,
( X1 = sz00
| aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_96) ).
cnf(i_0_149,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1)
| ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_149) ).
cnf(i_0_121,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_121) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_20) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_2) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_11) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_4) ).
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-t800fmzf/input.p',i_0_32) ).
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-t800fmzf/input.p',i_0_33) ).
cnf(i_0_148,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_148) ).
cnf(i_0_120,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_120) ).
cnf(i_0_145,plain,
( epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_145) ).
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-t800fmzf/input.p',i_0_94) ).
cnf(i_0_144,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_144) ).
cnf(i_0_151,plain,
( epred1_0
| sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_151) ).
cnf(i_0_123,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_123) ).
cnf(i_0_132,plain,
( X1 = sz00
| epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(esk21_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t800fmzf/input.p',i_0_132) ).
cnf(c_0_190,plain,
( epred1_0
| aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
i_0_155 ).
cnf(c_0_191,negated_conjecture,
( aInteger0(X1)
| ~ epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
i_0_127 ).
cnf(c_0_192,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_193,negated_conjecture,
( aElementOf0(esk17_0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 ),
i_0_116 ).
cnf(c_0_194,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk17_0,cS1395) ),
i_0_115 ).
cnf(c_0_195,negated_conjecture,
( aElementOf0(X1,cS1395)
| ~ epred1_0
| ~ aInteger0(X1) ),
i_0_117 ).
cnf(c_0_196,negated_conjecture,
( aInteger0(esk17_0)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_197,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdtasdt0(xq,X2) != sdtpldt0(X1,smndt0(xa))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_150 ).
cnf(c_0_198,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdtasdt0(xq,X2) != sdtpldt0(X1,smndt0(xa))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
i_0_122 ).
cnf(c_0_199,plain,
( X1 = sz00
| epred1_0
| aElementOf0(esk21_1(X1),szAzrzSzezqlpdtcmdtrp0(esk19_0,X1))
| ~ aInteger0(X1) ),
i_0_133 ).
cnf(c_0_200,negated_conjecture,
~ epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]) ).
cnf(c_0_201,plain,
( epred1_0
| aInteger0(X1)
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
i_0_146 ).
cnf(c_0_202,plain,
( epred1_0
| aElementOf0(esk19_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
i_0_143 ).
cnf(c_0_203,plain,
( epred1_0
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
i_0_152 ).
cnf(c_0_204,negated_conjecture,
( aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| ~ epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
i_0_124 ).
cnf(c_0_205,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdtasdt0(xq,X2) != sdtpldt0(X1,smndt0(xa))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_206,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_207,hypothesis,
aInteger0(xa),
i_0_113 ).
cnf(c_0_208,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| X4 != szAzrzSzezqlpdtcmdtrp0(X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X2,X4) ),
i_0_95 ).
cnf(c_0_209,plain,
( X1 = sz00
| aElementOf0(esk21_1(X1),szAzrzSzezqlpdtcmdtrp0(esk19_0,X1))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_210,hypothesis,
aInteger0(xq),
i_0_112 ).
cnf(c_0_211,hypothesis,
sz00 != xq,
i_0_111 ).
cnf(c_0_212,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(sr,[status(thm)],[c_0_201,c_0_200]) ).
cnf(c_0_213,plain,
aElementOf0(esk19_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))),
inference(sr,[status(thm)],[c_0_202,c_0_200]) ).
cnf(c_0_214,plain,
( X1 = sz00
| aInteger0(X2)
| X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X4)
| ~ aElementOf0(X2,X3) ),
i_0_96 ).
cnf(c_0_215,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1)
| ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa))) ),
i_0_149 ).
cnf(c_0_216,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa))) ),
i_0_121 ).
cnf(c_0_217,plain,
( aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_218,plain,
( aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdtasdt0(xq,X1) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).
cnf(c_0_219,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
i_0_20 ).
cnf(c_0_220,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_221,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_208]) ).
cnf(c_0_222,hypothesis,
aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(esk19_0,xq)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).
cnf(c_0_223,plain,
aInteger0(esk19_0),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_224,plain,
( X1 = sz00
| aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_214]) ).
cnf(c_0_225,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_226,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
i_0_11 ).
cnf(c_0_227,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_228,plain,
( aDivisorOf0(xq,sz00)
| ~ aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_206]),c_0_207])]) ).
cnf(c_0_229,plain,
aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_210])]) ).
cnf(c_0_230,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
i_0_32 ).
cnf(c_0_231,hypothesis,
sdteqdtlpzmzozddtrp0(esk21_1(xq),esk19_0,xq),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_210])]),c_0_211]) ).
cnf(c_0_232,plain,
aInteger0(esk21_1(xq)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_222]),c_0_223]),c_0_210])]),c_0_211]) ).
cnf(c_0_233,plain,
( aElementOf0(smndt0(smndt0(xa)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aDivisorOf0(xq,sz00)
| ~ aInteger0(smndt0(xa)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
cnf(c_0_234,plain,
aDivisorOf0(xq,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229])]) ).
cnf(c_0_235,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_236,hypothesis,
sdteqdtlpzmzozddtrp0(esk19_0,esk21_1(xq),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_230,c_0_231]),c_0_232]),c_0_223]),c_0_210])]),c_0_211]) ).
cnf(c_0_237,plain,
( aElementOf0(smndt0(smndt0(xa)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234])]) ).
cnf(c_0_238,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq) ),
i_0_148 ).
cnf(c_0_239,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq) ),
i_0_120 ).
cnf(c_0_240,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,esk21_1(xq),xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk19_0,xq)
| ~ aInteger0(X1) ),
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_235,c_0_236]),c_0_223]),c_0_232]),c_0_210])]),c_0_211]) ).
cnf(c_0_241,plain,
( sdteqdtlpzmzozddtrp0(smndt0(smndt0(xa)),xa,xq)
| ~ aInteger0(smndt0(xa)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_237]),c_0_207]),c_0_210])]),c_0_211]) ).
cnf(c_0_242,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_243,plain,
( sdteqdtlpzmzozddtrp0(esk21_1(xq),X1,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk19_0,xq)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_240]),c_0_232]),c_0_210])]),c_0_211]) ).
cnf(c_0_244,plain,
( sdteqdtlpzmzozddtrp0(xa,smndt0(smndt0(xa)),xq)
| ~ aInteger0(smndt0(xa)) ),
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_230,c_0_241]),c_0_207]),c_0_210])]),c_0_211]),c_0_227]) ).
cnf(c_0_245,plain,
( aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_232]),c_0_207])]) ).
cnf(c_0_246,plain,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,smndt0(smndt0(xa)),xq)
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(X1) ),
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_235,c_0_241]),c_0_207]),c_0_210])]),c_0_211]),c_0_227]) ).
cnf(c_0_247,plain,
( sdteqdtlpzmzozddtrp0(X1,smndt0(smndt0(xa)),xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(X1) ),
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_235,c_0_244]),c_0_207]),c_0_210])]),c_0_211]),c_0_227]) ).
cnf(c_0_248,plain,
( sdteqdtlpzmzozddtrp0(esk21_1(xq),xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_245]),c_0_207]),c_0_210])]),c_0_211]) ).
cnf(c_0_249,plain,
( epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
i_0_145 ).
cnf(c_0_250,plain,
( sdteqdtlpzmzozddtrp0(esk21_1(xq),xa,xq)
| ~ sdteqdtlpzmzozddtrp0(smndt0(smndt0(xa)),esk19_0,xq)
| ~ aInteger0(smndt0(xa)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_243]),c_0_232])]),c_0_227]) ).
cnf(c_0_251,plain,
( sdteqdtlpzmzozddtrp0(smndt0(smndt0(xa)),X1,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_247]),c_0_210])]),c_0_211]),c_0_227]) ).
cnf(c_0_252,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_253,plain,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk21_1(xq),xq)
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq)
| ~ aInteger0(X1) ),
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_235,c_0_248]),c_0_232]),c_0_207]),c_0_210])]),c_0_211]) ).
cnf(c_0_254,plain,
( ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(sr,[status(thm)],[c_0_249,c_0_200]) ).
cnf(c_0_255,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,esk19_0,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk21_1(xq),xq)
| ~ aInteger0(X1) ),
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_235,c_0_231]),c_0_232]),c_0_223]),c_0_210])]),c_0_211]) ).
cnf(c_0_256,plain,
( sdteqdtlpzmzozddtrp0(esk21_1(xq),xa,xq)
| ~ sdteqdtlpzmzozddtrp0(esk19_0,xa,xq)
| ~ aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_223])]) ).
cnf(c_0_257,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_252]) ).
cnf(c_0_258,hypothesis,
( sdteqdtlpzmzozddtrp0(esk19_0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_236]),c_0_223])]) ).
cnf(c_0_259,plain,
~ aElementOf0(esk19_0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(spm,[status(thm)],[c_0_254,c_0_213]) ).
cnf(c_0_260,plain,
( epred1_0
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1) ),
i_0_144 ).
cnf(c_0_261,hypothesis,
( sdteqdtlpzmzozddtrp0(smndt0(smndt0(xa)),esk19_0,xq)
| ~ sdteqdtlpzmzozddtrp0(esk21_1(xq),xa,xq)
| ~ aInteger0(smndt0(xa)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_251]),c_0_232])]),c_0_227]) ).
cnf(c_0_262,plain,
( sdteqdtlpzmzozddtrp0(xa,esk21_1(xq),xq)
| ~ sdteqdtlpzmzozddtrp0(esk19_0,xa,xq)
| ~ aInteger0(smndt0(xa)) ),
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_230,c_0_256]),c_0_232]),c_0_207]),c_0_210])]),c_0_211]) ).
cnf(c_0_263,plain,
~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq),
inference(sr,[status(thm)],[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_257,c_0_258]),c_0_207]),c_0_223]),c_0_210])]),c_0_211]),c_0_259]) ).
cnf(c_0_264,plain,
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[c_0_260,c_0_200]) ).
cnf(c_0_265,plain,
( sdteqdtlpzmzozddtrp0(esk19_0,smndt0(smndt0(xa)),xq)
| ~ sdteqdtlpzmzozddtrp0(esk21_1(xq),xa,xq)
| ~ aInteger0(smndt0(xa)) ),
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_230,c_0_261]),c_0_223]),c_0_210])]),c_0_211]),c_0_227]) ).
cnf(c_0_266,hypothesis,
( ~ sdteqdtlpzmzozddtrp0(esk19_0,xa,xq)
| ~ aInteger0(smndt0(xa)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_262]),c_0_207])]),c_0_263]) ).
cnf(c_0_267,plain,
( epred1_0
| sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
i_0_151 ).
cnf(c_0_268,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
i_0_123 ).
cnf(c_0_269,plain,
( aElementOf0(smndt0(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(smndt0(X1),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_227]) ).
cnf(c_0_270,plain,
( ~ sdteqdtlpzmzozddtrp0(esk21_1(xq),xa,xq)
| ~ aInteger0(smndt0(xa)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_265]),c_0_223])]),c_0_266]) ).
cnf(c_0_271,plain,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_272,hypothesis,
( aElementOf0(smndt0(xa),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(smndt0(xa),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(spm,[status(thm)],[c_0_269,c_0_207]) ).
cnf(c_0_273,plain,
( ~ aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(smndt0(xa)) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_274,plain,
aInteger0(smndt0(xa)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_272]),c_0_192]) ).
cnf(c_0_275,plain,
( X1 = sz00
| epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(esk21_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
i_0_132 ).
cnf(c_0_276,plain,
~ aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_274])]) ).
cnf(c_0_277,plain,
( X1 = sz00
| ~ aElementOf0(esk21_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[c_0_275,c_0_200]) ).
cnf(c_0_278,plain,
aElementOf0(esk21_1(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_232]),c_0_276]) ).
cnf(c_0_279,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_210])]),c_0_211]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM442+6 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jul 7 11:04:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected complete mode:
% 9.30/2.46 # ENIGMATIC: Solved by autoschedule:
% 9.30/2.46 # No SInE strategy applied
% 9.30/2.46 # Trying AutoSched0 for 150 seconds
% 9.30/2.46 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 9.30/2.46 # and selection function PSelectComplexExceptUniqMaxHorn.
% 9.30/2.46 #
% 9.30/2.46 # Preprocessing time : 0.028 s
% 9.30/2.46 # Presaturation interreduction done
% 9.30/2.46
% 9.30/2.46 # Proof found!
% 9.30/2.46 # SZS status Theorem
% 9.30/2.46 # SZS output start CNFRefutation
% See solution above
% 9.30/2.46 # Training examples: 0 positive, 0 negative
% 9.30/2.46
% 9.30/2.46 # -------------------------------------------------
% 9.30/2.46 # User time : 0.224 s
% 9.30/2.46 # System time : 0.007 s
% 9.30/2.46 # Total time : 0.232 s
% 9.30/2.46 # Maximum resident set size: 7124 pages
% 9.30/2.46
%------------------------------------------------------------------------------