TSTP Solution File: NUM563+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM563+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 08:37:23 EDT 2022
% Result : Theorem 10.03s 2.54s
% Output : CNFRefutation 10.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of clauses : 138 ( 41 unt; 10 nHn; 138 RR)
% Number of literals : 367 ( 57 equ; 227 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 175 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_7) ).
cnf(i_0_151,hypothesis,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_151) ).
cnf(i_0_159,negated_conjecture,
xK = sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_159) ).
cnf(i_0_68,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_68) ).
cnf(i_0_150,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_150) ).
cnf(i_0_19,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_19) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_15) ).
cnf(i_0_6,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_6) ).
cnf(i_0_125,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_125) ).
cnf(i_0_152,hypothesis,
aFunction0(xc),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_152) ).
cnf(i_0_116,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_116) ).
cnf(i_0_147,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_147) ).
cnf(i_0_146,hypothesis,
aSet0(xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_146) ).
cnf(i_0_13,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_13) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_14) ).
cnf(i_0_54,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_54) ).
cnf(i_0_106,plain,
( aSubsetOf0(X1,X2)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X4,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_106) ).
cnf(i_0_5,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_5) ).
cnf(i_0_149,hypothesis,
aSubsetOf0(xS,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_149) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_45) ).
cnf(i_0_60,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_60) ).
cnf(i_0_158,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_158) ).
cnf(i_0_72,plain,
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X2))
| ~ aSet0(X2)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_72) ).
cnf(i_0_8,plain,
isFinite0(slcrc0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_8) ).
cnf(i_0_16,plain,
( isFinite0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_16) ).
cnf(i_0_145,hypothesis,
isFinite0(xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_145) ).
cnf(i_0_105,plain,
( sbrdtbr0(X1) = X2
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_105) ).
cnf(i_0_104,plain,
( aElementOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X2 != slbdtsldtrb0(X4,X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X1,X4)
| ~ aElementOf0(X3,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_104) ).
cnf(i_0_66,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_66) ).
cnf(i_0_92,plain,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_92) ).
cnf(i_0_69,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_69) ).
cnf(i_0_133,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_133) ).
cnf(i_0_97,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_97) ).
cnf(i_0_121,plain,
( aElementOf0(X1,X2)
| X2 != sdtlbdtrb0(X3,X4)
| sdtlpdtrp0(X3,X1) != X4
| ~ aElement0(X4)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szDzozmdt0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_121) ).
cnf(i_0_117,plain,
( aElement0(sdtlpdtrp0(X1,X2))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_117) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_3) ).
cnf(i_0_157,negated_conjecture,
( sdtlpdtrp0(xc,esk22_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_157) ).
cnf(i_0_17,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_17) ).
cnf(i_0_148,hypothesis,
isCountable0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c8gn7pa5/input.p',i_0_148) ).
cnf(c_0_199,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_200,hypothesis,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
i_0_151 ).
cnf(c_0_201,negated_conjecture,
xK = sz00,
i_0_159 ).
cnf(c_0_202,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
i_0_68 ).
cnf(c_0_203,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_199]) ).
cnf(c_0_204,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
i_0_150 ).
cnf(c_0_205,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,sz00),
inference(rw,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_206,plain,
sz00 = sbrdtbr0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_202]),c_0_203])]) ).
cnf(c_0_207,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3) ),
i_0_19 ).
cnf(c_0_208,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_209,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,slbdtsldtrb0(xS,sz00)),xT),
inference(rw,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_210,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
i_0_6 ).
cnf(c_0_211,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
i_0_125 ).
cnf(c_0_212,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,sbrdtbr0(slcrc0)),
inference(rw,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_213,hypothesis,
aFunction0(xc),
i_0_152 ).
cnf(c_0_214,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
i_0_116 ).
cnf(c_0_215,hypothesis,
aElementOf0(xK,szNzAzT0),
i_0_147 ).
cnf(c_0_216,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_207,c_0_208]),c_0_208]) ).
cnf(c_0_217,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,slbdtsldtrb0(xS,sbrdtbr0(slcrc0))),xT),
inference(rw,[status(thm)],[c_0_209,c_0_206]) ).
cnf(c_0_218,hypothesis,
aSet0(xT),
i_0_146 ).
cnf(c_0_219,plain,
~ aElementOf0(X1,slcrc0),
inference(er,[status(thm)],[c_0_210]) ).
cnf(c_0_220,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_221,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_222,hypothesis,
( aSubsetOf0(sdtlbdtrb0(xc,X1),slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213])]) ).
cnf(c_0_223,hypothesis,
aSet0(slbdtsldtrb0(xS,sbrdtbr0(slcrc0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_213]),c_0_205]),c_0_206]) ).
cnf(c_0_224,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_54 ).
cnf(c_0_225,hypothesis,
aElementOf0(sz00,szNzAzT0),
inference(rw,[status(thm)],[c_0_215,c_0_201]) ).
cnf(c_0_226,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,sdtlcdtrc0(xc,slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218])]) ).
cnf(c_0_227,plain,
( aSubsetOf0(slcrc0,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_203])]) ).
cnf(c_0_228,plain,
aSet0(sdtlcdtrc0(xc,slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_217]),c_0_218])]) ).
cnf(c_0_229,plain,
( aSubsetOf0(X1,X2)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X4,szNzAzT0) ),
i_0_106 ).
cnf(c_0_230,plain,
( aElementOf0(X1,slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtlbdtrb0(xc,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223])]) ).
cnf(c_0_231,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
i_0_5 ).
cnf(c_0_232,plain,
( aSet0(sdtlbdtrb0(xc,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_222]),c_0_223])]) ).
cnf(c_0_233,hypothesis,
aSubsetOf0(xS,szNzAzT0),
i_0_149 ).
cnf(c_0_234,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_235,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_236,plain,
( sdtlseqdt0(sbrdtbr0(slcrc0),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[c_0_224,c_0_206]) ).
cnf(c_0_237,hypothesis,
aElementOf0(sbrdtbr0(slcrc0),szNzAzT0),
inference(rw,[status(thm)],[c_0_225,c_0_206]) ).
cnf(c_0_238,plain,
aSubsetOf0(slcrc0,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228])]) ).
cnf(c_0_239,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xS) ),
i_0_158 ).
cnf(c_0_240,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_229]) ).
cnf(c_0_241,plain,
( sdtlbdtrb0(xc,X1) = slcrc0
| aElementOf0(esk1_1(sdtlbdtrb0(xc,X1)),slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).
cnf(c_0_242,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_233]),c_0_234])]) ).
cnf(c_0_243,plain,
( X1 = sbrdtbr0(slcrc0)
| ~ sdtlseqdt0(X1,sbrdtbr0(slcrc0))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237])]) ).
cnf(c_0_244,plain,
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X2))
| ~ aSet0(X2)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_72 ).
cnf(c_0_245,plain,
isFinite0(slcrc0),
i_0_8 ).
cnf(c_0_246,plain,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_238]),c_0_218])]) ).
cnf(c_0_247,plain,
( isFinite0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_16 ).
cnf(c_0_248,hypothesis,
isFinite0(xT),
i_0_145 ).
cnf(c_0_249,plain,
( sbrdtbr0(X1) = X2
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
i_0_105 ).
cnf(c_0_250,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,sbrdtbr0(slcrc0)))
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_201]),c_0_206]) ).
cnf(c_0_251,plain,
( sdtlbdtrb0(xc,X1) = slcrc0
| aSubsetOf0(esk1_1(sdtlbdtrb0(xc,X1)),xS)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_237]),c_0_242])]) ).
cnf(c_0_252,plain,
( aElementOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X2 != slbdtsldtrb0(X4,X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X1,X4)
| ~ aElementOf0(X3,szNzAzT0) ),
i_0_104 ).
cnf(c_0_253,plain,
( sbrdtbr0(X1) = sbrdtbr0(slcrc0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),c_0_203])]) ).
cnf(c_0_254,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
i_0_66 ).
cnf(c_0_255,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_246]),c_0_218])]) ).
cnf(c_0_256,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_246]),c_0_248]),c_0_218])]) ).
cnf(c_0_257,plain,
slbdtrb0(sz00) = slcrc0,
i_0_92 ).
cnf(c_0_258,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
i_0_69 ).
cnf(c_0_259,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_249]) ).
cnf(c_0_260,negated_conjecture,
( aSubsetOf0(esk22_2(X1,X2),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSet0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_250]),c_0_237])]) ).
cnf(c_0_261,plain,
( sdtlbdtrb0(xc,X1) = slcrc0
| aSubsetOf0(X2,xS)
| ~ aElement0(X1)
| ~ aSubsetOf0(X2,esk1_1(sdtlbdtrb0(xc,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_251]),c_0_242])]) ).
cnf(c_0_262,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
i_0_133 ).
cnf(c_0_263,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_252])]) ).
cnf(c_0_264,plain,
( sbrdtbr0(X1) = sbrdtbr0(slcrc0)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_256]) ).
cnf(c_0_265,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_216,c_0_227]) ).
cnf(c_0_266,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_97 ).
cnf(c_0_267,plain,
slbdtrb0(sbrdtbr0(slcrc0)) = slcrc0,
inference(rw,[status(thm)],[c_0_257,c_0_206]) ).
cnf(c_0_268,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sbrdtbr0(slcrc0)
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[c_0_258,c_0_206]) ).
cnf(c_0_269,negated_conjecture,
( sbrdtbr0(esk22_2(X1,X2)) = sbrdtbr0(slcrc0)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSet0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_250]),c_0_237])]) ).
cnf(c_0_270,plain,
( aSet0(esk22_2(X1,X2))
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_208,c_0_260]) ).
cnf(c_0_271,plain,
( aElementOf0(X1,X2)
| X2 != sdtlbdtrb0(X3,X4)
| sdtlpdtrp0(X3,X1) != X4
| ~ aElement0(X4)
| ~ aFunction0(X3)
| ~ aElementOf0(X1,szDzozmdt0(X3)) ),
i_0_121 ).
cnf(c_0_272,plain,
( aElement0(sdtlpdtrp0(X1,X2))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
i_0_117 ).
cnf(c_0_273,plain,
( sdtlbdtrb0(xc,X1) = slcrc0
| aSubsetOf0(slcrc0,xS)
| ~ aElement0(X1)
| ~ aSet0(esk1_1(sdtlbdtrb0(xc,X1))) ),
inference(spm,[status(thm)],[c_0_261,c_0_227]) ).
cnf(c_0_274,plain,
( sdtlbdtrb0(xc,X1) = slcrc0
| aSet0(esk1_1(sdtlbdtrb0(xc,X1)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_251]),c_0_242])]) ).
cnf(c_0_275,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_276,hypothesis,
( aElementOf0(sdtlpdtrp0(xc,X1),sdtlcdtrc0(xc,slbdtsldtrb0(xS,sbrdtbr0(slcrc0))))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,sbrdtbr0(slcrc0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_212]),c_0_213])]) ).
cnf(c_0_277,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(slcrc0)))
| ~ aSubsetOf0(X1,slcrc0)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_237])]),c_0_265]) ).
cnf(c_0_278,plain,
( aSubsetOf0(slcrc0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_236]),c_0_267]),c_0_237])]) ).
cnf(c_0_279,negated_conjecture,
( sdtlpdtrp0(xc,esk22_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,xS) ),
i_0_157 ).
cnf(c_0_280,plain,
( esk22_2(X1,X2) = slcrc0
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]) ).
cnf(c_0_281,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_217]),c_0_218])]) ).
cnf(c_0_282,plain,
( aElementOf0(X1,sdtlbdtrb0(X2,sdtlpdtrp0(X2,X1)))
| ~ aElementOf0(X1,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_271])]),c_0_272]) ).
cnf(c_0_283,plain,
( sdtlbdtrb0(xc,X1) = slcrc0
| aSubsetOf0(slcrc0,xS)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_284,plain,
( aElement0(sdtlpdtrp0(xc,X1))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,sbrdtbr0(slcrc0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_228])]) ).
cnf(c_0_285,plain,
( aElementOf0(slcrc0,slbdtsldtrb0(X1,sbrdtbr0(slcrc0)))
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_227]),c_0_203])]) ).
cnf(c_0_286,plain,
( sbrdtbr0(X1) = sbrdtbr0(X2)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aSubsetOf0(X2,slcrc0) ),
inference(spm,[status(thm)],[c_0_264,c_0_264]) ).
cnf(c_0_287,plain,
aSubsetOf0(slcrc0,slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_267]),c_0_237])]) ).
cnf(c_0_288,negated_conjecture,
( ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280])]) ).
cnf(c_0_289,hypothesis,
( aElementOf0(sdtlpdtrp0(xc,X1),xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,sbrdtbr0(slcrc0))) ),
inference(spm,[status(thm)],[c_0_281,c_0_276]) ).
cnf(c_0_290,plain,
( aSubsetOf0(slcrc0,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,sbrdtbr0(slcrc0))) ),
inference(csr,[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_282,c_0_283]),c_0_205]),c_0_206]),c_0_213])]),c_0_219]),c_0_284]) ).
cnf(c_0_291,plain,
( aElementOf0(slcrc0,slbdtsldtrb0(X1,sbrdtbr0(X2)))
| ~ aSubsetOf0(X2,slcrc0)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287])]) ).
cnf(c_0_292,hypothesis,
( ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sbrdtbr0(slcrc0)))
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_293,plain,
aSubsetOf0(slcrc0,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_287]),c_0_242])]) ).
cnf(c_0_294,plain,
( ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_263]),c_0_293]),c_0_237]),c_0_242])]) ).
cnf(c_0_295,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
i_0_17 ).
cnf(c_0_296,hypothesis,
isCountable0(xS),
i_0_148 ).
cnf(c_0_297,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_242])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM563+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 09:48:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 10.03/2.54 # ENIGMATIC: Solved by autoschedule:
% 10.03/2.54 # No SInE strategy applied
% 10.03/2.54 # Trying AutoSched0 for 150 seconds
% 10.03/2.54 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 10.03/2.54 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.03/2.54 #
% 10.03/2.54 # Preprocessing time : 0.029 s
% 10.03/2.54 # Presaturation interreduction done
% 10.03/2.54
% 10.03/2.54 # Proof found!
% 10.03/2.54 # SZS status Theorem
% 10.03/2.54 # SZS output start CNFRefutation
% See solution above
% 10.03/2.54 # Training examples: 0 positive, 0 negative
% 10.03/2.54
% 10.03/2.54 # -------------------------------------------------
% 10.03/2.54 # User time : 0.259 s
% 10.03/2.54 # System time : 0.010 s
% 10.03/2.54 # Total time : 0.269 s
% 10.03/2.54 # Maximum resident set size: 7120 pages
% 10.03/2.54
%------------------------------------------------------------------------------