TSTP Solution File: NUM573+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM573+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:37:30 EDT 2022
% Result : Theorem 10.02s 3.36s
% Output : CNFRefutation 10.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of clauses : 62 ( 21 unt; 9 nHn; 62 RR)
% Number of literals : 152 ( 26 equ; 85 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 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 : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4146,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4146) ).
cnf(i_0_4177,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4177) ).
cnf(i_0_4176,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4176) ).
cnf(i_0_4142,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X2,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4142) ).
cnf(i_0_51,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_51) ).
cnf(i_0_48,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_48) ).
cnf(i_0_47,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_47) ).
cnf(i_0_50,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_50) ).
cnf(i_0_4188,negated_conjecture,
szszuzczcdt0(esk32_0) = xi,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4188) ).
cnf(i_0_4189,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4189) ).
cnf(i_0_49,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_49) ).
cnf(i_0_64,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_64) ).
cnf(i_0_62,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_62) ).
cnf(i_0_4183,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ iLess0(X3,xi)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4183) ).
cnf(i_0_4181,hypothesis,
aElementOf0(xj,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4181) ).
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-12lwj5z7/lgb.p',i_0_60) ).
cnf(i_0_4186,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,xi)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4186) ).
cnf(i_0_4190,negated_conjecture,
sdtlseqdt0(xj,xi),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4190) ).
cnf(i_0_4180,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4180) ).
cnf(i_0_4185,negated_conjecture,
~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12lwj5z7/lgb.p',i_0_4185) ).
cnf(c_0_4211,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2)))) ),
i_0_4146 ).
cnf(c_0_4212,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4177 ).
cnf(c_0_4213,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4176 ).
cnf(c_0_4214,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X2,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2))) ),
i_0_4142 ).
cnf(c_0_4215,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_51 ).
cnf(c_0_4216,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_48 ).
cnf(c_0_4217,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_47 ).
cnf(c_0_4218,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_50 ).
cnf(c_0_4219,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4211,c_0_4212]),c_0_4213]) ).
cnf(c_0_4220,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4214,c_0_4212]),c_0_4213]) ).
cnf(c_0_4221,plain,
( aElementOf0(esk5_1(szszuzczcdt0(X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4215,c_0_4216]),c_0_4217]) ).
cnf(c_0_4222,negated_conjecture,
szszuzczcdt0(esk32_0) = xi,
i_0_4188 ).
cnf(c_0_4223,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
i_0_4189 ).
cnf(c_0_4224,plain,
( szszuzczcdt0(esk5_1(szszuzczcdt0(X1))) = szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4218,c_0_4216]),c_0_4217]) ).
cnf(c_0_4225,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_49 ).
cnf(c_0_4226,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4219,c_0_4220]) ).
cnf(c_0_4227,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_64 ).
cnf(c_0_4228,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_62 ).
cnf(c_0_4229,negated_conjecture,
aElementOf0(esk5_1(xi),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4221,c_0_4222]),c_0_4223])]) ).
cnf(c_0_4230,negated_conjecture,
szszuzczcdt0(esk5_1(xi)) = xi,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4224,c_0_4222]),c_0_4223])]) ).
cnf(c_0_4231,negated_conjecture,
( X1 = esk32_0
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4225,c_0_4222]),c_0_4223])]) ).
cnf(c_0_4232,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ iLess0(X3,xi)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X3)) ),
i_0_4183 ).
cnf(c_0_4233,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,esk32_0))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4226,c_0_4222]),c_0_4223])]) ).
cnf(c_0_4234,negated_conjecture,
iLess0(esk32_0,xi),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4227,c_0_4222]),c_0_4223])]) ).
cnf(c_0_4235,plain,
( sdtlseqdt0(X1,esk5_1(xi))
| sdtlseqdt0(xi,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4228,c_0_4229]),c_0_4230]) ).
cnf(c_0_4236,hypothesis,
aElementOf0(xj,szNzAzT0),
i_0_4181 ).
cnf(c_0_4237,negated_conjecture,
( esk5_1(szszuzczcdt0(X1)) = esk32_0
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4231,c_0_4224]),c_0_4221]) ).
cnf(c_0_4238,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_4239,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,esk32_0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4232,c_0_4233]),c_0_4234]),c_0_4223])]) ).
cnf(c_0_4240,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,xi)),
i_0_4186 ).
cnf(c_0_4241,hypothesis,
( sdtlseqdt0(xj,esk5_1(xi))
| sdtlseqdt0(xi,xj) ),
inference(spm,[status(thm)],[c_0_4235,c_0_4236]) ).
cnf(c_0_4242,negated_conjecture,
esk5_1(xi) = esk32_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4237,c_0_4230]),c_0_4229])]) ).
cnf(c_0_4243,hypothesis,
( X1 = xj
| ~ sdtlseqdt0(xj,X1)
| ~ sdtlseqdt0(X1,xj)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4238,c_0_4236]) ).
cnf(c_0_4244,negated_conjecture,
sdtlseqdt0(xj,xi),
i_0_4190 ).
cnf(c_0_4245,hypothesis,
aElementOf0(xi,szNzAzT0),
i_0_4180 ).
cnf(c_0_4246,negated_conjecture,
( aElementOf0(esk33_0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4239,c_0_4240]) ).
cnf(c_0_4247,hypothesis,
( sdtlseqdt0(xi,xj)
| sdtlseqdt0(xj,esk32_0) ),
inference(rw,[status(thm)],[c_0_4241,c_0_4242]) ).
cnf(c_0_4248,negated_conjecture,
~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj)),
i_0_4185 ).
cnf(c_0_4249,negated_conjecture,
( xj = xi
| ~ sdtlseqdt0(xi,xj) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4243,c_0_4244]),c_0_4245])]) ).
cnf(c_0_4250,negated_conjecture,
sdtlseqdt0(xi,xj),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4246,c_0_4247]),c_0_4236])]),c_0_4248]) ).
cnf(c_0_4251,negated_conjecture,
xj = xi,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4249,c_0_4250])]) ).
cnf(c_0_4252,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4248,c_0_4251]),c_0_4240])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM573+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 17:09:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 10.02/3.36 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.02/3.36 # No SInE strategy applied
% 10.02/3.36 # Trying AutoSched0 for 150 seconds
% 10.02/3.36 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 10.02/3.36 # and selection function PSelectComplexExceptUniqMaxHorn.
% 10.02/3.36 #
% 10.02/3.36 # Preprocessing time : 0.026 s
% 10.02/3.36
% 10.02/3.36 # Proof found!
% 10.02/3.36 # SZS status Theorem
% 10.02/3.36 # SZS output start CNFRefutation
% See solution above
% 10.02/3.36 # Training examples: 0 positive, 0 negative
% 10.02/3.36
% 10.02/3.36 # -------------------------------------------------
% 10.02/3.36 # User time : 0.151 s
% 10.02/3.36 # System time : 0.005 s
% 10.02/3.36 # Total time : 0.156 s
% 10.02/3.36 # Maximum resident set size: 7128 pages
% 10.02/3.36
%------------------------------------------------------------------------------