TSTP Solution File: NUM601+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM601+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 08:37:47 EDT 2022
% Result : Theorem 24.98s 4.75s
% Output : CNFRefutation 24.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 55 ( 16 unt; 9 nHn; 55 RR)
% Number of literals : 130 ( 19 equ; 71 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_168,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_168) ).
cnf(i_0_163,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_163) ).
cnf(i_0_46,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_46) ).
cnf(i_0_54,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_54) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_15) ).
cnf(i_0_149,hypothesis,
aSubsetOf0(xS,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_149) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_45) ).
cnf(i_0_78,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_78) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_14) ).
cnf(i_0_184,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_184) ).
cnf(i_0_167,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_167) ).
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_7) ).
cnf(i_0_197,hypothesis,
( sdtlpdtrp0(xe,esk25_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_197) ).
cnf(i_0_11,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_11) ).
cnf(i_0_166,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_166) ).
cnf(i_0_199,hypothesis,
( aElementOf0(esk25_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_199) ).
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-s_8ndfhf/input.p',i_0_12) ).
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-s_8ndfhf/input.p',i_0_13) ).
cnf(i_0_194,hypothesis,
aSet0(xO),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_194) ).
cnf(i_0_200,negated_conjecture,
~ aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s_8ndfhf/input.p',i_0_200) ).
cnf(c_0_221,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_168 ).
cnf(c_0_222,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
i_0_163 ).
cnf(c_0_223,plain,
aElementOf0(sz00,szNzAzT0),
i_0_46 ).
cnf(c_0_224,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223])]) ).
cnf(c_0_225,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_54 ).
cnf(c_0_226,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_227,hypothesis,
aSubsetOf0(xS,szNzAzT0),
i_0_149 ).
cnf(c_0_228,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_229,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_78 ).
cnf(c_0_230,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_231,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_232,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228])]) ).
cnf(c_0_233,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_229]) ).
cnf(c_0_234,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_184 ).
cnf(c_0_235,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232])]) ).
cnf(c_0_236,hypothesis,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_237,hypothesis,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(sdtlpdtrp0(xe,X1),xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_238,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_167 ).
cnf(c_0_239,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_240,hypothesis,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(sdtlpdtrp0(xe,X1),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_241,hypothesis,
( sdtlpdtrp0(xe,esk25_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
i_0_197 ).
cnf(c_0_242,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
i_0_11 ).
cnf(c_0_243,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_239]) ).
cnf(c_0_244,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_166 ).
cnf(c_0_245,hypothesis,
( sdtlpdtrp0(xN,esk25_1(X1)) = slcrc0
| aElementOf0(X1,xS)
| ~ aElementOf0(esk25_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_246,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_242]),c_0_243])]) ).
cnf(c_0_247,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(esk25_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_248,hypothesis,
( aElementOf0(esk25_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
i_0_199 ).
cnf(c_0_249,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_250,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xO) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_251,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(esk2_2(xS,X1),xO)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_232])]) ).
cnf(c_0_252,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_253,hypothesis,
aSet0(xO),
i_0_194 ).
cnf(c_0_254,negated_conjecture,
~ aSubsetOf0(xO,xS),
i_0_200 ).
cnf(c_0_255,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_232])]),c_0_254]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM601+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n029.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 : Tue Jul 5 17:30:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 # ENIGMATIC: Selected complete mode:
% 24.98/4.75 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l16000-e0.15+coop-eprover73:
% 24.98/4.75 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l16000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 17; version: 991; iters: 150)
% 24.98/4.75 # Preprocessing time : 2.067 s
% 24.98/4.75 # Presaturation interreduction done
% 24.98/4.75
% 24.98/4.75 # Proof found!
% 24.98/4.75 # SZS status Theorem
% 24.98/4.75 # SZS output start CNFRefutation
% See solution above
% 24.98/4.75 # Training examples: 0 positive, 0 negative
% 24.98/4.75
% 24.98/4.75 # -------------------------------------------------
% 24.98/4.75 # User time : 1.890 s
% 24.98/4.75 # System time : 0.233 s
% 24.98/4.75 # Total time : 2.123 s
% 24.98/4.75 # ...preprocessing : 2.067 s
% 24.98/4.75 # ...main loop : 0.056 s
% 24.98/4.75 # Maximum resident set size: 309724 pages
% 24.98/4.75
%------------------------------------------------------------------------------