%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM619+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 08:37:59 EDT 2022
% Result : Theorem 44.30s 7.81s
% Output : CNFRefutation 44.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of clauses : 69 ( 31 unt; 5 nHn; 69 RR)
% Number of literals : 146 ( 16 equ; 78 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4223,hypothesis,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4223) ).
cnf(i_0_4213,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4213) ).
cnf(i_0_4284,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4284) ).
cnf(i_0_4292,hypothesis,
aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4292) ).
cnf(i_0_4180,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4180) ).
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-ux7dxivb/input.p',i_0_62) ).
cnf(i_0_4143,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4143) ).
cnf(i_0_4177,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4177) ).
cnf(i_0_4176,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4176) ).
cnf(i_0_4206,hypothesis,
( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4206) ).
cnf(i_0_4291,hypothesis,
sdtlpdtrp0(xe,esk42_0) = xx,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4291) ).
cnf(i_0_4281,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4281) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_14) ).
cnf(i_0_48,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_48) ).
cnf(i_0_4256,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4256) ).
cnf(i_0_4264,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4264) ).
cnf(i_0_4282,hypothesis,
aElementOf0(xn,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4282) ).
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-ux7dxivb/input.p',i_0_60) ).
cnf(i_0_4263,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4263) ).
cnf(i_0_4205,hypothesis,
( sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4205) ).
cnf(i_0_4288,hypothesis,
szmzizndt0(xQ) != xx,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4288) ).
cnf(i_0_4262,hypothesis,
szmzizndt0(xQ) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4262) ).
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-ux7dxivb/input.p',i_0_4181) ).
cnf(i_0_4297,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4297) ).
cnf(i_0_4289,hypothesis,
aElementOf0(xx,xQ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ux7dxivb/input.p',i_0_4289) ).
cnf(c_0_4323,hypothesis,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
i_0_4223 ).
cnf(c_0_4324,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
i_0_4213 ).
cnf(c_0_4325,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
i_0_4284 ).
cnf(c_0_4326,hypothesis,
aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
i_0_4292 ).
cnf(c_0_4327,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4180 ).
cnf(c_0_4328,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_62 ).
cnf(c_0_4329,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
i_0_4143 ).
cnf(c_0_4330,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4177 ).
cnf(c_0_4331,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4176 ).
cnf(c_0_4332,hypothesis,
( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4206 ).
cnf(c_0_4333,hypothesis,
sdtlpdtrp0(xe,esk42_0) = xx,
i_0_4291 ).
cnf(c_0_4334,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4323,c_0_4324]),c_0_4325]) ).
cnf(c_0_4335,hypothesis,
aElementOf0(esk42_0,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))),
inference(rw,[status(thm)],[c_0_4326,c_0_4325]) ).
cnf(c_0_4336,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
i_0_4281 ).
cnf(c_0_4337,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_4338,plain,
( sdtlseqdt0(X1,X2)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4327,c_0_4328]) ).
cnf(c_0_4339,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_48 ).
cnf(c_0_4340,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4329,c_0_4330]),c_0_4331]) ).
cnf(c_0_4341,hypothesis,
( aElementOf0(xx,sdtlpdtrp0(xN,esk42_0))
| ~ aElementOf0(esk42_0,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4332,c_0_4333]) ).
cnf(c_0_4342,hypothesis,
aElementOf0(esk42_0,szNzAzT0),
inference(spm,[status(thm)],[c_0_4334,c_0_4335]) ).
cnf(c_0_4343,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
i_0_4256 ).
cnf(c_0_4344,hypothesis,
aElementOf0(xp,xQ),
i_0_4264 ).
cnf(c_0_4345,hypothesis,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_4332,c_0_4336]) ).
cnf(c_0_4346,hypothesis,
aElementOf0(xn,szNzAzT0),
i_0_4282 ).
cnf(c_0_4347,plain,
( sdtlseqdt0(X1,X2)
| aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4337,c_0_4338]),c_0_4339]),c_0_4340]) ).
cnf(c_0_4348,hypothesis,
aElementOf0(xx,sdtlpdtrp0(xN,esk42_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4341,c_0_4342])]) ).
cnf(c_0_4349,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_4350,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
i_0_4263 ).
cnf(c_0_4351,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_4343,c_0_4344]) ).
cnf(c_0_4352,hypothesis,
( sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
i_0_4205 ).
cnf(c_0_4353,hypothesis,
szmzizndt0(xQ) != xx,
i_0_4288 ).
cnf(c_0_4354,hypothesis,
szmzizndt0(xQ) = xp,
i_0_4262 ).
cnf(c_0_4355,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_4356,hypothesis,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4345,c_0_4346])]) ).
cnf(c_0_4357,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
i_0_4297 ).
cnf(c_0_4358,hypothesis,
( sdtlseqdt0(esk42_0,X1)
| aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4347,c_0_4348]),c_0_4342])]) ).
cnf(c_0_4359,hypothesis,
( X1 = xp
| ~ sdtlseqdt0(X1,xp)
| ~ aElementOf0(X1,xQ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4349,c_0_4350]),c_0_4351])]),c_0_4343]) ).
cnf(c_0_4360,hypothesis,
( sdtlseqdt0(xx,X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk42_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4352,c_0_4333]),c_0_4342])]) ).
cnf(c_0_4361,hypothesis,
aElementOf0(xx,xQ),
i_0_4289 ).
cnf(c_0_4362,hypothesis,
xp != xx,
inference(rw,[status(thm)],[c_0_4353,c_0_4354]) ).
cnf(c_0_4363,hypothesis,
( aElementOf0(xp,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4355,c_0_4356]),c_0_4346])]) ).
cnf(c_0_4364,negated_conjecture,
sdtlseqdt0(esk42_0,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4357,c_0_4358]),c_0_4346])]) ).
cnf(c_0_4365,hypothesis,
~ aElementOf0(xp,sdtlpdtrp0(xN,esk42_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4359,c_0_4360]),c_0_4361])]),c_0_4362]) ).
cnf(c_0_4366,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4363,c_0_4364]),c_0_4342])]),c_0_4365]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM619+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 : n004.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 02:07:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 44.30/7.81 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 44.30/7.81 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 27; version: 991; iters: 150)
% 44.30/7.81 # Preprocessing time : 2.359 s
% 44.30/7.81
% 44.30/7.81 # Proof found!
% 44.30/7.81 # SZS status Theorem
% 44.30/7.81 # SZS output start CNFRefutation
% See solution above
% 44.30/7.81 # Training examples: 0 positive, 0 negative
% 44.30/7.81
% 44.30/7.81 # -------------------------------------------------
% 44.30/7.81 # User time : 4.243 s
% 44.30/7.81 # System time : 0.177 s
% 44.30/7.81 # Total time : 4.420 s
% 44.30/7.81 # ...preprocessing : 2.359 s
% 44.30/7.81 # ...main loop : 2.061 s
% 44.30/7.81 # Maximum resident set size: 192852 pages
% 44.30/7.81
%------------------------------------------------------------------------------