TSTP Solution File: NUM465+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM465+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 08:36:18 EDT 2022
% Result : Theorem 13.55s 3.03s
% Output : CNFRefutation 13.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 42 ( 23 unt; 6 nHn; 42 RR)
% Number of literals : 75 ( 33 equ; 33 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_11) ).
cnf(i_0_47,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_47) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_10) ).
cnf(i_0_49,hypothesis,
( sz00 = xm
| sdtlseqdt0(sz10,xm) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_49) ).
cnf(i_0_54,negated_conjecture,
sz00 != xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_54) ).
cnf(i_0_48,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_48) ).
cnf(i_0_53,negated_conjecture,
( sdtpldt0(xn,X1) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_53) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_2) ).
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/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_43) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_4) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_14) ).
cnf(i_0_52,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_52) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_16) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1r0xh2w9/input.p',i_0_13) ).
cnf(c_0_69,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_70,hypothesis,
aNaturalNumber0(xn),
i_0_47 ).
cnf(c_0_71,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_72,hypothesis,
( sz00 = xm
| sdtlseqdt0(sz10,xm) ),
i_0_49 ).
cnf(c_0_73,negated_conjecture,
sz00 != xm,
i_0_54 ).
cnf(c_0_74,hypothesis,
( sdtasdt0(X1,xn) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,hypothesis,
aNaturalNumber0(xm),
i_0_48 ).
cnf(c_0_76,negated_conjecture,
( sdtpldt0(xn,X1) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X1) ),
i_0_53 ).
cnf(c_0_77,hypothesis,
sdtpldt0(xn,sz00) = xn,
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_78,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_79,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_80,hypothesis,
sdtlseqdt0(sz10,xm),
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_82,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_83,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
i_0_52 ).
cnf(c_0_84,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
sdtasdt0(xn,xm) != xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_86,hypothesis,
( sz10 = xm
| X1 = sz00
| sdtlseqdt0(sdtasdt0(X1,sz10),sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_75]),c_0_81])]) ).
cnf(c_0_87,hypothesis,
sdtasdt0(xn,sz10) = xn,
inference(spm,[status(thm)],[c_0_82,c_0_70]) ).
cnf(c_0_88,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(xm,xn)),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_90,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_91,negated_conjecture,
sdtasdt0(xm,xn) != xn,
inference(rw,[status(thm)],[c_0_85,c_0_84]) ).
cnf(c_0_92,hypothesis,
( xn = sz00
| sz10 = xm ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_70]),c_0_87]),c_0_84]),c_0_88]) ).
cnf(c_0_93,hypothesis,
sdtasdt0(xm,sz00) = sz00,
inference(spm,[status(thm)],[c_0_89,c_0_75]) ).
cnf(c_0_94,hypothesis,
sdtasdt0(sz10,xn) = xn,
inference(spm,[status(thm)],[c_0_90,c_0_70]) ).
cnf(c_0_95,negated_conjecture,
sz10 = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_96,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM465+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 00:24:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 13.55/3.03 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.55/3.03 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.55/3.03 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 39; version: 991; iters: 150)
% 13.55/3.03 # Preprocessing time : 0.726 s
% 13.55/3.03
% 13.55/3.03 # Proof found!
% 13.55/3.03 # SZS status Theorem
% 13.55/3.03 # SZS output start CNFRefutation
% See solution above
% 13.55/3.03 # Training examples: 0 positive, 0 negative
% 13.55/3.03
% 13.55/3.03 # -------------------------------------------------
% 13.55/3.03 # User time : 0.664 s
% 13.55/3.03 # System time : 0.103 s
% 13.55/3.03 # Total time : 0.767 s
% 13.55/3.03 # ...preprocessing : 0.726 s
% 13.55/3.03 # ...main loop : 0.041 s
% 13.55/3.03 # Maximum resident set size: 151504 pages
% 13.55/3.03
%------------------------------------------------------------------------------