TSTP Solution File: NUM588+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM588+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:37:39 EDT 2022
% Result : Theorem 7.74s 2.49s
% Output : CNFRefutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of clauses : 60 ( 17 unt; 4 nHn; 60 RR)
% Number of literals : 161 ( 28 equ; 105 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_105,plain,
( sbrdtbr0(X1) = X2
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_105) ).
cnf(i_0_178,negated_conjecture,
aElementOf0(esk24_0,slbdtsldtrb0(esk23_0,xk)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_178) ).
cnf(i_0_160,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_160) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_15) ).
cnf(i_0_181,negated_conjecture,
aSubsetOf0(esk23_0,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_181) ).
cnf(i_0_19,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_19) ).
cnf(i_0_106,plain,
( aSubsetOf0(X1,X2)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X4,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_106) ).
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/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_104) ).
cnf(i_0_177,negated_conjecture,
~ aElementOf0(esk24_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))),xk)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_177) ).
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_37) ).
cnf(i_0_78,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_78) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_3) ).
cnf(i_0_167,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_167) ).
cnf(i_0_182,negated_conjecture,
aElementOf0(esk22_0,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_182) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_45) ).
cnf(i_0_11,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_11) ).
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_7) ).
cnf(i_0_166,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m2gtnfk1/input.p',i_0_166) ).
cnf(c_0_201,plain,
( sbrdtbr0(X1) = X2
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
i_0_105 ).
cnf(c_0_202,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_201]) ).
cnf(c_0_203,negated_conjecture,
aElementOf0(esk24_0,slbdtsldtrb0(esk23_0,xk)),
i_0_178 ).
cnf(c_0_204,hypothesis,
aElementOf0(xk,szNzAzT0),
i_0_160 ).
cnf(c_0_205,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_206,negated_conjecture,
aSubsetOf0(esk23_0,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))),
i_0_181 ).
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,
( aSubsetOf0(X1,X2)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X4,szNzAzT0) ),
i_0_106 ).
cnf(c_0_209,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_210,negated_conjecture,
( sbrdtbr0(esk24_0) = xk
| ~ aSet0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204])]) ).
cnf(c_0_211,negated_conjecture,
( aSet0(esk23_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_212,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_205]),c_0_205]) ).
cnf(c_0_213,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_208]) ).
cnf(c_0_214,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_209])]) ).
cnf(c_0_215,negated_conjecture,
( sbrdtbr0(esk24_0) = xk
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_216,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
| ~ aSubsetOf0(X1,esk23_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(spm,[status(thm)],[c_0_212,c_0_206]) ).
cnf(c_0_217,negated_conjecture,
( aSubsetOf0(esk24_0,esk23_0)
| ~ aSet0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_203]),c_0_204])]) ).
cnf(c_0_218,negated_conjecture,
( aElementOf0(esk24_0,slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(esk24_0,X1)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_204])]) ).
cnf(c_0_219,negated_conjecture,
( aSubsetOf0(esk24_0,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_211]) ).
cnf(c_0_220,negated_conjecture,
~ aElementOf0(esk24_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))),xk)),
i_0_177 ).
cnf(c_0_221,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_222,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_78 ).
cnf(c_0_223,negated_conjecture,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_224,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_221]) ).
cnf(c_0_225,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_226,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_222]) ).
cnf(c_0_227,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk22_0)))
| ~ aSet0(sdtlpdtrp0(xN,esk22_0)) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_228,plain,
( X1 = slcrc0
| aElement0(szmzizndt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_229,plain,
( sdtlpdtrp0(xN,esk22_0) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk22_0),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,esk22_0)) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_230,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_167 ).
cnf(c_0_231,negated_conjecture,
aElementOf0(esk22_0,szNzAzT0),
i_0_182 ).
cnf(c_0_232,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_233,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
i_0_11 ).
cnf(c_0_234,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_235,hypothesis,
( sdtlpdtrp0(xN,esk22_0) = slcrc0
| ~ aSet0(sdtlpdtrp0(xN,esk22_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231])]) ).
cnf(c_0_236,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_230]),c_0_232])]) ).
cnf(c_0_237,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(er,[status(thm)],[c_0_233]) ).
cnf(c_0_238,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_234]) ).
cnf(c_0_239,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_166 ).
cnf(c_0_240,hypothesis,
sdtlpdtrp0(xN,esk22_0) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_231])]) ).
cnf(c_0_241,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_238])]) ).
cnf(c_0_242,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_231])]),c_0_241]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM588+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n011.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 : Thu Jul 7 23:37:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.74/2.49 # ENIGMATIC: Solved by autoschedule:
% 7.74/2.49 # No SInE strategy applied
% 7.74/2.49 # Trying AutoSched0 for 150 seconds
% 7.74/2.49 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 7.74/2.49 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.74/2.49 #
% 7.74/2.49 # Preprocessing time : 0.016 s
% 7.74/2.49 # Presaturation interreduction done
% 7.74/2.49
% 7.74/2.49 # Proof found!
% 7.74/2.49 # SZS status Theorem
% 7.74/2.49 # SZS output start CNFRefutation
% See solution above
% 7.74/2.49 # Training examples: 0 positive, 0 negative
% 7.74/2.49
% 7.74/2.49 # -------------------------------------------------
% 7.74/2.49 # User time : 0.101 s
% 7.74/2.49 # System time : 0.004 s
% 7.74/2.49 # Total time : 0.105 s
% 7.74/2.49 # Maximum resident set size: 7120 pages
% 7.74/2.49
%------------------------------------------------------------------------------