TSTP Solution File: NUM503+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM503+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 08:36:43 EDT 2022
% Result : Theorem 19.60s 3.86s
% Output : CNFRefutation 19.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of clauses : 51 ( 28 unt; 5 nHn; 51 RR)
% Number of literals : 129 ( 29 equ; 77 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_5) ).
cnf(i_0_17,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_17) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_6) ).
cnf(i_0_217,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_217) ).
cnf(i_0_218,hypothesis,
aNaturalNumber0(esk10_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_218) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_73) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_33) ).
cnf(i_0_43,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_43) ).
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_22) ).
cnf(i_0_221,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_221) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_72) ).
cnf(i_0_211,hypothesis,
( sdtpldt0(xp,X1) != xm
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_211) ).
cnf(i_0_242,hypothesis,
sdtpldt0(xp,esk15_0) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_242) ).
cnf(i_0_243,hypothesis,
aNaturalNumber0(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_243) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_71) ).
cnf(i_0_222,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_222) ).
cnf(i_0_207,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_207) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_34) ).
cnf(i_0_241,hypothesis,
sdtlseqdt0(xp,xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_241) ).
cnf(i_0_212,hypothesis,
sdtlseqdt0(xm,xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-enztza5h/input.p',i_0_212) ).
cnf(c_0_265,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_266,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_267,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_265]),c_0_266]) ).
cnf(c_0_268,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_17 ).
cnf(c_0_269,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_270,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(sdtpldt0(X1,X3),X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]),c_0_269]) ).
cnf(c_0_271,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
i_0_217 ).
cnf(c_0_272,hypothesis,
aNaturalNumber0(esk10_0),
i_0_218 ).
cnf(c_0_273,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_274,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_275,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_43 ).
cnf(c_0_276,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_277,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,X1),sdtasdt0(xp,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]),c_0_273])]) ).
cnf(c_0_278,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
i_0_221 ).
cnf(c_0_279,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_280,hypothesis,
( sdtpldt0(xp,X1) != xm
| ~ aNaturalNumber0(X1) ),
i_0_211 ).
cnf(c_0_281,hypothesis,
sdtpldt0(xp,esk15_0) = xk,
i_0_242 ).
cnf(c_0_282,hypothesis,
aNaturalNumber0(esk15_0),
i_0_243 ).
cnf(c_0_283,plain,
( X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_269]),c_0_269]),c_0_276]) ).
cnf(c_0_284,hypothesis,
sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279])]) ).
cnf(c_0_285,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_286,hypothesis,
aNaturalNumber0(xk),
i_0_222 ).
cnf(c_0_287,hypothesis,
sz00 != xp,
i_0_207 ).
cnf(c_0_288,hypothesis,
xk != xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282])]) ).
cnf(c_0_289,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_290,hypothesis,
sdtlseqdt0(xp,xk),
i_0_241 ).
cnf(c_0_291,plain,
~ sdtlseqdt0(xm,xk),
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(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285]),c_0_286]),c_0_279])]),c_0_287]),c_0_288]) ).
cnf(c_0_292,hypothesis,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_285]),c_0_286])]) ).
cnf(c_0_293,hypothesis,
sdtlseqdt0(xm,xp),
i_0_212 ).
cnf(c_0_294,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]),c_0_279])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM503+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n011.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 : Tue Jul 5 20:54:39 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 19.60/3.86 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 19.60/3.86 # 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: 47; version: 991; iters: 150)
% 19.60/3.86 # Preprocessing time : 1.201 s
% 19.60/3.86
% 19.60/3.86 # Proof found!
% 19.60/3.86 # SZS status Theorem
% 19.60/3.86 # SZS output start CNFRefutation
% See solution above
% 19.60/3.86 # Training examples: 0 positive, 0 negative
% 19.60/3.86
% 19.60/3.86 # -------------------------------------------------
% 19.60/3.86 # User time : 1.406 s
% 19.60/3.86 # System time : 0.138 s
% 19.60/3.86 # Total time : 1.544 s
% 19.60/3.86 # ...preprocessing : 1.201 s
% 19.60/3.86 # ...main loop : 0.343 s
% 19.60/3.86 # Maximum resident set size: 177960 pages
% 19.60/3.86
%------------------------------------------------------------------------------