TSTP Solution File: NUM580+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM580+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 08:37:34 EDT 2022
% Result : Theorem 7.97s 2.31s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of clauses : 62 ( 16 unt; 6 nHn; 62 RR)
% Number of literals : 168 ( 34 equ; 109 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-6pk8_sih/input.p',i_0_106) ).
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-6pk8_sih/input.p',i_0_105) ).
cnf(i_0_171,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_171) ).
cnf(i_0_160,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_160) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_15) ).
cnf(i_0_172,negated_conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_172) ).
cnf(i_0_70,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_70) ).
cnf(i_0_67,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_67) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_14) ).
cnf(i_0_159,hypothesis,
szszuzczcdt0(xk) = xK,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_159) ).
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_37) ).
cnf(i_0_34,plain,
( X1 != X2
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_34) ).
cnf(i_0_78,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_78) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_3) ).
cnf(i_0_167,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_167) ).
cnf(i_0_170,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_170) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_45) ).
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_7) ).
cnf(i_0_11,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_11) ).
cnf(i_0_166,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6pk8_sih/input.p',i_0_166) ).
cnf(c_0_193,plain,
( aSubsetOf0(X1,X2)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X4,szNzAzT0) ),
i_0_106 ).
cnf(c_0_194,plain,
( sbrdtbr0(X1) = X2
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
i_0_105 ).
cnf(c_0_195,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_193]) ).
cnf(c_0_196,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
i_0_171 ).
cnf(c_0_197,hypothesis,
aElementOf0(xk,szNzAzT0),
i_0_160 ).
cnf(c_0_198,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_194]) ).
cnf(c_0_199,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_200,hypothesis,
( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197])]) ).
cnf(c_0_201,negated_conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
i_0_172 ).
cnf(c_0_202,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
i_0_70 ).
cnf(c_0_203,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
i_0_67 ).
cnf(c_0_204,hypothesis,
( sbrdtbr0(xQ) = xk
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_196]),c_0_197])]) ).
cnf(c_0_205,plain,
( aSet0(xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_206,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_207,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| szszuzczcdt0(sbrdtbr0(xQ)) != xK
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_208,hypothesis,
szszuzczcdt0(xk) = xK,
i_0_159 ).
cnf(c_0_209,plain,
( isFinite0(xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_197])]),c_0_205]) ).
cnf(c_0_210,plain,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X1,xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(spm,[status(thm)],[c_0_206,c_0_200]) ).
cnf(c_0_211,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_204]),c_0_208])]),c_0_205]),c_0_209]) ).
cnf(c_0_212,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_213,plain,
( X1 != X2
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_34 ).
cnf(c_0_214,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_78 ).
cnf(c_0_215,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_216,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_212]) ).
cnf(c_0_217,plain,
( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_213])]) ).
cnf(c_0_218,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_219,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_214]) ).
cnf(c_0_220,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).
cnf(c_0_221,plain,
( X1 = slcrc0
| aElement0(szmzizndt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_222,plain,
( sdtlpdtrp0(xN,xi) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_223,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_167 ).
cnf(c_0_224,hypothesis,
aElementOf0(xi,szNzAzT0),
i_0_170 ).
cnf(c_0_225,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_226,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_227,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224])]) ).
cnf(c_0_228,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_223]),c_0_225])]) ).
cnf(c_0_229,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
i_0_11 ).
cnf(c_0_230,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_226]) ).
cnf(c_0_231,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_166 ).
cnf(c_0_232,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_224])]) ).
cnf(c_0_233,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_229]),c_0_230])]) ).
cnf(c_0_234,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_224])]),c_0_233]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM580+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 11:38:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 7.97/2.31 # ENIGMATIC: Solved by autoschedule:
% 7.97/2.31 # No SInE strategy applied
% 7.97/2.31 # Trying AutoSched0 for 150 seconds
% 7.97/2.31 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 7.97/2.31 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.97/2.31 #
% 7.97/2.31 # Preprocessing time : 0.015 s
% 7.97/2.31 # Presaturation interreduction done
% 7.97/2.31
% 7.97/2.31 # Proof found!
% 7.97/2.31 # SZS status Theorem
% 7.97/2.31 # SZS output start CNFRefutation
% See solution above
% 7.97/2.31 # Training examples: 0 positive, 0 negative
% 7.97/2.31
% 7.97/2.31 # -------------------------------------------------
% 7.97/2.31 # User time : 0.054 s
% 7.97/2.31 # System time : 0.008 s
% 7.97/2.31 # Total time : 0.062 s
% 7.97/2.31 # Maximum resident set size: 7124 pages
% 7.97/2.31
%------------------------------------------------------------------------------