TSTP Solution File: NUM597+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM597+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 08:37:45 EDT 2022
% Result : Theorem 9.29s 2.56s
% Output : CNFRefutation 9.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 55 ( 20 unt; 7 nHn; 55 RR)
% Number of literals : 141 ( 23 equ; 85 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_190,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_190) ).
cnf(i_0_188,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_188) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_14) ).
cnf(i_0_146,hypothesis,
aSet0(xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_146) ).
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-gndlrb_4/input.p',i_0_133) ).
cnf(i_0_189,hypothesis,
aFunction0(xd),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_189) ).
cnf(i_0_122,plain,
( sdtlpdtrp0(X1,X2) = X3
| X4 != sdtlbdtrb0(X1,X3)
| ~ aElement0(X3)
| ~ aFunction0(X1)
| ~ aElementOf0(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_122) ).
cnf(i_0_124,plain,
( aSet0(X1)
| X1 != sdtlbdtrb0(X2,X3)
| ~ aElement0(X3)
| ~ aFunction0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_124) ).
cnf(i_0_123,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| X3 != sdtlbdtrb0(X2,X4)
| ~ aElement0(X4)
| ~ aFunction0(X2)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_123) ).
cnf(i_0_5,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_5) ).
cnf(i_0_144,plain,
( aElement0(szDzizrdt0(X1))
| ~ aFunction0(X1)
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_144) ).
cnf(i_0_44,plain,
isCountable0(szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_44) ).
cnf(i_0_16,plain,
( isFinite0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_16) ).
cnf(i_0_145,hypothesis,
isFinite0(xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_145) ).
cnf(i_0_11,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_11) ).
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_7) ).
cnf(i_0_143,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ aFunction0(X1)
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_143) ).
cnf(i_0_192,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gndlrb_4/input.p',i_0_192) ).
cnf(c_0_211,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
i_0_190 ).
cnf(c_0_212,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
i_0_188 ).
cnf(c_0_213,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_214,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(rw,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_215,hypothesis,
aSet0(xT),
i_0_146 ).
cnf(c_0_216,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
i_0_133 ).
cnf(c_0_217,hypothesis,
aFunction0(xd),
i_0_189 ).
cnf(c_0_218,plain,
( sdtlpdtrp0(X1,X2) = X3
| X4 != sdtlbdtrb0(X1,X3)
| ~ aElement0(X3)
| ~ aFunction0(X1)
| ~ aElementOf0(X2,X4) ),
i_0_122 ).
cnf(c_0_219,plain,
( aSet0(X1)
| X1 != sdtlbdtrb0(X2,X3)
| ~ aElement0(X3)
| ~ aFunction0(X2) ),
i_0_124 ).
cnf(c_0_220,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| X3 != sdtlbdtrb0(X2,X4)
| ~ aElement0(X4)
| ~ aFunction0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_123 ).
cnf(c_0_221,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215])]) ).
cnf(c_0_222,hypothesis,
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_212]),c_0_217])]) ).
cnf(c_0_223,plain,
( sdtlpdtrp0(X1,X2) = X3
| ~ aElement0(X3)
| ~ aElementOf0(X2,sdtlbdtrb0(X1,X3))
| ~ aFunction0(X1) ),
inference(er,[status(thm)],[c_0_218]) ).
cnf(c_0_224,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
i_0_5 ).
cnf(c_0_225,plain,
( aSet0(sdtlbdtrb0(X1,X2))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
inference(er,[status(thm)],[c_0_219]) ).
cnf(c_0_226,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtlbdtrb0(X2,X3))
| ~ aFunction0(X2) ),
inference(er,[status(thm)],[c_0_220]) ).
cnf(c_0_227,hypothesis,
( aElementOf0(sdtlpdtrp0(xd,X1),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_228,plain,
( sdtlpdtrp0(X1,esk1_1(sdtlbdtrb0(X1,X2))) = X2
| sdtlbdtrb0(X1,X2) = slcrc0
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]) ).
cnf(c_0_229,plain,
( sdtlbdtrb0(X1,X2) = slcrc0
| aElementOf0(esk1_1(sdtlbdtrb0(X1,X2)),szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_224]),c_0_225]) ).
cnf(c_0_230,plain,
( aElement0(szDzizrdt0(X1))
| ~ aFunction0(X1)
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
i_0_144 ).
cnf(c_0_231,plain,
isCountable0(szNzAzT0),
i_0_44 ).
cnf(c_0_232,plain,
( isFinite0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_16 ).
cnf(c_0_233,hypothesis,
isFinite0(xT),
i_0_145 ).
cnf(c_0_234,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
i_0_11 ).
cnf(c_0_235,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_236,hypothesis,
( sdtlbdtrb0(xd,X1) = slcrc0
| aElementOf0(X1,xT)
| ~ aElement0(X1)
| ~ aElementOf0(esk1_1(sdtlbdtrb0(xd,X1)),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_217])]) ).
cnf(c_0_237,hypothesis,
( sdtlbdtrb0(xd,X1) = slcrc0
| aElementOf0(esk1_1(sdtlbdtrb0(xd,X1)),szNzAzT0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_212]),c_0_217])]) ).
cnf(c_0_238,hypothesis,
( aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_212]),c_0_217]),c_0_231])]) ).
cnf(c_0_239,hypothesis,
isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_214]),c_0_233]),c_0_215])]) ).
cnf(c_0_240,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(er,[status(thm)],[c_0_234]) ).
cnf(c_0_241,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_235]) ).
cnf(c_0_242,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ aFunction0(X1)
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
i_0_143 ).
cnf(c_0_243,hypothesis,
( sdtlbdtrb0(xd,X1) = slcrc0
| aElementOf0(X1,xT)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_244,hypothesis,
aElement0(szDzizrdt0(xd)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239])]) ).
cnf(c_0_245,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241])]) ).
cnf(c_0_246,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
i_0_192 ).
cnf(c_0_247,plain,
$false,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_217]),c_0_212]),c_0_231]),c_0_212]),c_0_239]),c_0_244])]),c_0_245]),c_0_246]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM597+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n003.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 06:09:43 EDT 2022
% 0.16/0.32 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 9.29/2.56 # ENIGMATIC: Solved by autoschedule:
% 9.29/2.56 # No SInE strategy applied
% 9.29/2.56 # Trying AutoSched0 for 150 seconds
% 9.29/2.56 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 9.29/2.56 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.29/2.56 #
% 9.29/2.56 # Preprocessing time : 0.023 s
% 9.29/2.56 # Presaturation interreduction done
% 9.29/2.56
% 9.29/2.56 # Proof found!
% 9.29/2.56 # SZS status Theorem
% 9.29/2.56 # SZS output start CNFRefutation
% See solution above
% 9.29/2.56 # Training examples: 0 positive, 0 negative
% 9.29/2.56
% 9.29/2.56 # -------------------------------------------------
% 9.29/2.56 # User time : 0.141 s
% 9.29/2.56 # System time : 0.017 s
% 9.29/2.56 # Total time : 0.158 s
% 9.29/2.56 # Maximum resident set size: 7124 pages
% 9.29/2.56
%------------------------------------------------------------------------------