TSTP Solution File: NUM575+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM575+3 : 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 08:37:31 EDT 2022
% Result : Theorem 38.77s 7.20s
% Output : CNFRefutation 38.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 50 ( 23 unt; 10 nHn; 50 RR)
% Number of literals : 111 ( 8 equ; 58 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-cbwqe_ao/input.p',i_0_62) ).
cnf(i_0_4189,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4189) ).
cnf(i_0_4188,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4188) ).
cnf(i_0_48,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_48) ).
cnf(i_0_4176,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4176) ).
cnf(i_0_4177,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4177) ).
cnf(i_0_4181,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4181) ).
cnf(i_0_4145,hypothesis,
( X1 != szmzizndt0(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-cbwqe_ao/input.p',i_0_4145) ).
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-cbwqe_ao/input.p',i_0_4142) ).
cnf(i_0_4184,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk33_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4184) ).
cnf(i_0_4182,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = szmzizndt0(sdtlpdtrp0(xN,esk32_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4182) ).
cnf(i_0_4186,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4186) ).
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-cbwqe_ao/input.p',i_0_60) ).
cnf(i_0_4187,negated_conjecture,
esk33_0 != esk32_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cbwqe_ao/input.p',i_0_4187) ).
cnf(c_0_4204,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_62 ).
cnf(c_0_4205,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
i_0_4189 ).
cnf(c_0_4206,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
i_0_4188 ).
cnf(c_0_4207,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk32_0),X1)
| sdtlseqdt0(X1,esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4204,c_0_4205]) ).
cnf(c_0_4208,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_48 ).
cnf(c_0_4209,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk33_0),X1)
| sdtlseqdt0(X1,esk33_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4204,c_0_4206]) ).
cnf(c_0_4210,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4176 ).
cnf(c_0_4211,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4177 ).
cnf(c_0_4212,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X3)) ),
i_0_4181 ).
cnf(c_0_4213,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk32_0),esk33_0)
| sdtlseqdt0(esk33_0,esk32_0) ),
inference(spm,[status(thm)],[c_0_4207,c_0_4206]) ).
cnf(c_0_4214,negated_conjecture,
aElementOf0(szszuzczcdt0(esk32_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_4208,c_0_4205]) ).
cnf(c_0_4215,hypothesis,
( X1 != szmzizndt0(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_4145 ).
cnf(c_0_4216,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk33_0),esk32_0)
| sdtlseqdt0(esk32_0,esk33_0) ),
inference(spm,[status(thm)],[c_0_4209,c_0_4205]) ).
cnf(c_0_4217,negated_conjecture,
aElementOf0(szszuzczcdt0(esk33_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_4208,c_0_4206]) ).
cnf(c_0_4218,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_4219,negated_conjecture,
isCountable0(sdtlpdtrp0(xN,esk32_0)),
inference(spm,[status(thm)],[c_0_4210,c_0_4205]) ).
cnf(c_0_4220,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,esk32_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_4211,c_0_4205]) ).
cnf(c_0_4221,hypothesis,
( sdtlseqdt0(esk33_0,esk32_0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk32_0)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk33_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4212,c_0_4213]),c_0_4206]),c_0_4214])]) ).
cnf(c_0_4222,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk33_0)),
i_0_4184 ).
cnf(c_0_4223,hypothesis,
( ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1)) ),
inference(er,[status(thm)],[c_0_4215]) ).
cnf(c_0_4224,negated_conjecture,
isCountable0(sdtlpdtrp0(xN,esk33_0)),
inference(spm,[status(thm)],[c_0_4210,c_0_4206]) ).
cnf(c_0_4225,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = szmzizndt0(sdtlpdtrp0(xN,esk32_0)),
i_0_4182 ).
cnf(c_0_4226,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,esk33_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_4211,c_0_4206]) ).
cnf(c_0_4227,hypothesis,
( sdtlseqdt0(esk32_0,esk33_0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk33_0)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk32_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4212,c_0_4216]),c_0_4205]),c_0_4217])]) ).
cnf(c_0_4228,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0)),
i_0_4186 ).
cnf(c_0_4229,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4218,c_0_4219]),c_0_4220]),c_0_4205])]) ).
cnf(c_0_4230,negated_conjecture,
( sdtlseqdt0(esk33_0,esk32_0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))) ),
inference(spm,[status(thm)],[c_0_4221,c_0_4222]) ).
cnf(c_0_4231,hypothesis,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4223,c_0_4219]),c_0_4220]),c_0_4205])]) ).
cnf(c_0_4232,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4218,c_0_4224]),c_0_4225]),c_0_4226]),c_0_4206])]) ).
cnf(c_0_4233,negated_conjecture,
( sdtlseqdt0(esk32_0,esk33_0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
inference(spm,[status(thm)],[c_0_4227,c_0_4228]) ).
cnf(c_0_4234,hypothesis,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4223,c_0_4224]),c_0_4226]),c_0_4225]),c_0_4225]),c_0_4206])]) ).
cnf(c_0_4235,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_4236,negated_conjecture,
sdtlseqdt0(esk33_0,esk32_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4229,c_0_4230]),c_0_4231]) ).
cnf(c_0_4237,negated_conjecture,
sdtlseqdt0(esk32_0,esk33_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4232,c_0_4233]),c_0_4234]) ).
cnf(c_0_4238,negated_conjecture,
esk33_0 != esk32_0,
i_0_4187 ).
cnf(c_0_4239,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4235,c_0_4236]),c_0_4237]),c_0_4206]),c_0_4205])]),c_0_4238]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM575+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 13:53:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 # ENIGMATIC: Selected complete mode:
% 38.77/7.20 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 38.77/7.20 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 60; version: 991; iters: 150)
% 38.77/7.20 # Preprocessing time : 1.707 s
% 38.77/7.20 # Presaturation interreduction done
% 38.77/7.20
% 38.77/7.20 # Proof found!
% 38.77/7.20 # SZS status Theorem
% 38.77/7.20 # SZS output start CNFRefutation
% See solution above
% 38.77/7.20 # Training examples: 0 positive, 0 negative
% 38.77/7.20
% 38.77/7.20 # -------------------------------------------------
% 38.77/7.20 # User time : 3.541 s
% 38.77/7.20 # System time : 0.142 s
% 38.77/7.20 # Total time : 3.683 s
% 38.77/7.20 # ...preprocessing : 1.707 s
% 38.77/7.20 # ...main loop : 1.976 s
% 38.77/7.20 # Maximum resident set size: 181812 pages
% 38.77/7.20
%------------------------------------------------------------------------------