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d $t t&* p#Gˉ E UT$$h2E9Mt&A9Mw490A4$2MUuMȋMuЋuŰ9}AEQ1DU~@$}D1@1ɉ<$*18T$EE$2E؉t$EE$1E}<$0X|LH P0Dh@D7@QU4$T$1Eu9uMUȃMhTЉ$c0UEXLLFLPL$$v0PUhTыP $D$*1PЉf_0@U4Љ|BdL$D$$QMhpTʋP$D$0f_1@4Љ|E|$dt$<$QEu9us4}}u;uUEuXE9ur̋E1Ƀ}> U}u9uhL ЉMȅt|T0 $U.UXF <u9s=;uluX9rË}L}1T$ $-Eȉ$x.pM19ph D1@?.plD@DDD@pDxUhh 4hD?plDD@׉DDDt&D4D}J9M4dуd D@ p!ыxʋhTD9sDӥ444!<]BX`DdL$$D$B`񋅘L$ET$dT$A`D|$dD$<$A`T`֋<$t$uD$TAT`DdT$ $D$AE``L$dD$<$@`DL`M9``DtHu` $D$``BdL$<$D$*@`U`d׋ET$D$ $?DLPt $t$PMDL_0D>L|0DE< TPD$4$|:f_1DLLPLL$4$]PuD _00L1||DuT<ЋxPL$4$|8_01x1Du<ЃTtPT$4$9|9_10tD2TE<΋P4$ЉD$|9_11hB 耉D$ $bUWV1Sr8Ã& A@@E)9sMF)9r [^_ÐU]}8/&u@@)pNu&/]u}USЋuX[]ÐUS[%P6Y[Usage: %s [options] [filename]... Reads in one or more TRSes and tries to prove termination for each. -d, --use-dependency-pairs try finding a proof by first applying dependency pairs -e, --prefer-exhaustive prefer the use of exhaustive traversal over random traversal --expect-srs force default system type to string rewrite system -l, --use-semantic-labelling try finding a proof that uses semantic labelling -p, --use-polynomials try finding a proof that uses polynomial interpretations -m, --more-thorough spend more time searching; the latter takes a natural value as argument --maximum-labelling-depth maximum number of times that semantic labelling is applied recursively -r, --use-recursive-path-order try finding a proof that uses recursive path order -s, --do-not-sort-rules do not sort rules of the input system to try to improve performance --transformation-style sets the style of the transformation that limits occuring symbol arity takes an argument {Left,Balanced,Right}, default : [Right] -t, --timeout timeout per system in seconds; both take a natural value as argument -v, --verbose be more verbose; the latter takes an argument in {0...5} -h, --help show this information --version show program versionWhen no input files are specified, standard input is read.Report bugs to J.v.d.Wulp@student.tue.nl. %s %s copyright 2004-2005, J. van der Wulp Invalid transformation style specified! In any generated proof the following is information is assumed and left implicit at times for the sake of readability. Polynomial interpretations range over the naturals excluding zero and one. The default polynomial interpretations for constant, unary and binary symbols to define a polynomial orderings are: two, the identity function and sum-minus-two respectively. Finally, for semantic labelling the default interpretation for a symbol is 0 and the labelling function is one that tuples its arguments. Consider the Term Rewriting System (TRS) specified by the following rules: [elapsed time %.4f seconds, source '%s'] Renamed variables for better algorithm performance: By adding the dependency pairs, the termination problem is transformed to the following relative termination problem. Reordered rules for better algorithm performance: A non-termination preserving transformation was successfully applied to the original TRS: Proof of termination found for %u of %u rewrite systems in total. (skipped %u) , %u minutes and %.4f seconds! TEPARLAuse-dependency-pairsprefer-exhaustiveexpect-srsuse-semantic-labellinguse-polynomialsuse-recursive-path-ordersort-rulesmore-thoroughmaximum-labelling-depthtransformation-styletimeoutverboseversionhelpdelprsmt:hvLeft1.2.3BalancedRight [%s error %s]  since no rules remainTRS is terminating%s. DONT_KNOW  [%sinformation%s] Parsing TRS (%s) Result : inconclusive YES Timer set to %u seconds! timed out! terminating Total amount of time spent: %u hours%u minutes and %.4f seconds! , 1 minute and %.4f seconds! 1 hour[5c+zư>߼xV42??.srs.trs [%s warning %s] [HashTable] Resizing when at %d of %d elements (load factor %3f). [HashTable] Resizing hash table after %d subsequent collissions. [HashTable] Collision triggered resize! [HashTable] Key totals : %u / %u (%4f) Assuming TPDB specification format. Ignoring input from `%s' as file does not exist. ),(VAR(RULES ->= -> (TPDB-RT) %s,%s} Terms : {Rules : {->=->Variable set : {Number of variables %d Number of symbols %d Number of terms %d Number of rules %d Symbols : {,(%s,%d) [%s fatal %s] Syntax error around line %d. On line %d : expected '->' Context sensitive or unknown strategy, aborting! TPDB extended with relative termination requested! On line %d : expected '(' but found '%c' Theory section found in input TRS which is currently not supported! Conditional term rewriting systems not supported! At line %d : expected a symbol! At line %d : symbol '%s' occurs with different arities. Variable section specifies '%s' as variable, but a previous section already used it as function or constant! xOn line %d : expected ',' Ignoring strategy, trying to prove generic termination! _%uProof of relative termination found using a polynomial ordering over : Termination follows from a proof of termination with the following rule%s removed : Termination follows from a proof of termination for the remaining rule%s : No rules remain, hence termination is proved! [polynomial orderings] Proceeding with %u deviation%s from the default! [polynomial orderings] Exhaustive search strategy (<=%u non-default interpretations). Proof of termination found using the following polynomial interpretation : Proof of relative termination found since no strict rules are present. All remaining rules are non-strict so termination is proved! Proof of relative termination found using a polynomial ordering : [polynomial orderings] Exhaustive search strategy (<=%u non-default interpretations). [polynomial orderings] Proceeding with the default interpretation! ,X_{%d}%s[%s](X_{0}Remaining rules: ?A_qQSBQ*hT4%Z&665576/;525444 Zp[D[[['[ZZZROZ:#~~KwO~F~} ~}G0XR[polynomial orderings] Random search strategy (x%u + 1). f"xXI,=yA8U)M- i Proof of termination found using RPO with the embedding order and the following symbol precedence : Proof of termination found using LPO with the embedding order and For any symbol f lex(f) is a lexicographic precedence of f specified as a permutation. %s > %s lex(%s) = [,%u] aWOC<0% ++********o*^*P*B*4*++#,, ,++++++x+j+\+N+EEEE`E