TSTP Solution File: NUM569+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM569+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:37:28 EDT 2022
% Result : Theorem 28.08s 5.74s
% Output : CNFRefutation 28.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of clauses : 56 ( 12 unt; 15 nHn; 56 RR)
% Number of literals : 174 ( 17 equ; 105 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-mhdj2_cd/input.p',i_0_19) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_15) ).
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/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4146) ).
cnf(i_0_13,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_13) ).
cnf(i_0_4148,hypothesis,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4148) ).
cnf(i_0_4180,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,esk32_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4180) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_45) ).
cnf(i_0_12,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_12) ).
cnf(i_0_4140,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4140) ).
cnf(i_0_50,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_50) ).
cnf(i_0_51,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_51) ).
cnf(i_0_4182,negated_conjecture,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,esk32_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4182) ).
cnf(i_0_4179,negated_conjecture,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,esk32_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4179) ).
cnf(i_0_4141,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4141) ).
cnf(i_0_64,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_64) ).
cnf(i_0_4183,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4183) ).
cnf(i_0_4176,negated_conjecture,
( ~ isCountable0(sdtlpdtrp0(xN,esk32_0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk32_0),szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4176) ).
cnf(i_0_4173,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_4173) ).
cnf(i_0_149,hypothesis,
aSubsetOf0(xS,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_149) ).
cnf(i_0_148,hypothesis,
isCountable0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mhdj2_cd/input.p',i_0_148) ).
cnf(c_0_4204,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3) ),
i_0_19 ).
cnf(c_0_4205,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_4206,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_4207,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_4208,hypothesis,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
i_0_4148 ).
cnf(c_0_4209,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4204,c_0_4205]),c_0_4205]) ).
cnf(c_0_4210,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,esk32_0) ),
i_0_4180 ).
cnf(c_0_4211,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_4212,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_4213,plain,
( aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),X2)
| aElementOf0(esk2_2(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))),sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4206,c_0_4207]),c_0_4208]) ).
cnf(c_0_4214,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
i_0_4140 ).
cnf(c_0_4215,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_50 ).
cnf(c_0_4216,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_51 ).
cnf(c_0_4217,negated_conjecture,
( aSubsetOf0(X1,szNzAzT0)
| ~ iLess0(X2,esk32_0)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4209,c_0_4210]),c_0_4211])]) ).
cnf(c_0_4218,plain,
( aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4212,c_0_4213]),c_0_4208]) ).
cnf(c_0_4219,negated_conjecture,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,esk32_0) ),
i_0_4182 ).
cnf(c_0_4220,negated_conjecture,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,esk32_0) ),
i_0_4179 ).
cnf(c_0_4221,plain,
( X1 = sz00
| isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk5_1(X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk5_1(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4214,c_0_4215]),c_0_4216]) ).
cnf(c_0_4222,negated_conjecture,
( aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),szNzAzT0)
| ~ iLess0(X1,esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4217,c_0_4218]),c_0_4219]),c_0_4220]),c_0_4210]) ).
cnf(c_0_4223,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
i_0_4141 ).
cnf(c_0_4224,negated_conjecture,
( X1 = sz00
| isCountable0(sdtlpdtrp0(xN,X1))
| ~ iLess0(esk5_1(X1),esk32_0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk5_1(X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4221,c_0_4220]),c_0_4216]) ).
cnf(c_0_4225,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_64 ).
cnf(c_0_4226,plain,
( aSubsetOf0(X1,szNzAzT0)
| ~ iLess0(X2,esk32_0)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4209,c_0_4222]),c_0_4211])]) ).
cnf(c_0_4227,plain,
( X1 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,esk5_1(X1)),szmzizndt0(sdtlpdtrp0(xN,esk5_1(X1)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk5_1(X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk5_1(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4223,c_0_4215]),c_0_4216]) ).
cnf(c_0_4228,negated_conjecture,
( X1 = sz00
| isCountable0(sdtlpdtrp0(xN,X1))
| ~ iLess0(esk5_1(X1),esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4224,c_0_4210]),c_0_4216]) ).
cnf(c_0_4229,plain,
( X1 = sz00
| iLess0(esk5_1(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4225,c_0_4215]),c_0_4216]) ).
cnf(c_0_4230,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
i_0_4183 ).
cnf(c_0_4231,plain,
( X1 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ iLess0(esk5_1(X1),esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4226,c_0_4227]),c_0_4220]),c_0_4210]),c_0_4216]) ).
cnf(c_0_4232,negated_conjecture,
( ~ isCountable0(sdtlpdtrp0(xN,esk32_0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk32_0),szNzAzT0) ),
i_0_4176 ).
cnf(c_0_4233,plain,
( esk32_0 = sz00
| isCountable0(sdtlpdtrp0(xN,esk32_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4228,c_0_4229]),c_0_4230])]) ).
cnf(c_0_4234,plain,
( esk32_0 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,esk32_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4231,c_0_4229]),c_0_4230])]) ).
cnf(c_0_4235,negated_conjecture,
esk32_0 = sz00,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4232,c_0_4233]),c_0_4234]) ).
cnf(c_0_4236,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
i_0_4173 ).
cnf(c_0_4237,hypothesis,
aSubsetOf0(xS,szNzAzT0),
i_0_149 ).
cnf(c_0_4238,hypothesis,
isCountable0(xS),
i_0_148 ).
cnf(c_0_4239,negated_conjecture,
$false,
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)],[c_0_4232,c_0_4235]),c_0_4236]),c_0_4237]),c_0_4235]),c_0_4236]),c_0_4238])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM569+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jul 7 07:40:01 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.23/0.47 # ENIGMATIC: Selected complete mode:
% 28.08/5.74 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 28.08/5.74 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 66; version: 991; iters: 150)
% 28.08/5.74 # Preprocessing time : 2.142 s
% 28.08/5.74
% 28.08/5.74 # Proof found!
% 28.08/5.74 # SZS status Theorem
% 28.08/5.74 # SZS output start CNFRefutation
% See solution above
% 28.08/5.74 # Training examples: 0 positive, 0 negative
% 28.08/5.74
% 28.08/5.74 # -------------------------------------------------
% 28.08/5.74 # User time : 2.223 s
% 28.08/5.74 # System time : 0.145 s
% 28.08/5.74 # Total time : 2.368 s
% 28.08/5.74 # ...preprocessing : 2.142 s
% 28.08/5.74 # ...main loop : 0.226 s
% 28.08/5.74 # Maximum resident set size: 188548 pages
% 28.08/5.74
%------------------------------------------------------------------------------