substtefxyefsubsttxysubstfPexyPesubsttxysubstfnegfsnegsubstffssubstfandfgsandsubstffssubstfgssubstforfgsorsubstffssubstfgssubstfimpfgsimpsubstffssubstfgssubstfforallfsforallsubstff.1ronsshiftsubstfexistsfsexistssubstff.1ronsshiftsubsttxidxsubstffidfsubsttsubsttxstsubsttxronstsubstfsubstffstsubstffronstsubstt1.xsxronidssronshift.xssronronsturonsronturon.xst.substtxtronstronsids.1shiftid.substt1sronshiftssvirgemptyfsetaavirgaaa*emptyssetaa*aaanegnegffandffforfffimpfgornegfgexistsfnegforallnegfsequentvirgconvfnegfabsequentavirgconvffbsequentconvfnegfbsequentemptyfsetvirgconvffbsequentavirgconvfnegfbsequentvirgconvffabsequentaconvfnegfsequentvirgconvffaemptyfsetsequentvirgconvfandfgabsequentvirgconvfgvirgconvffabsequentconvfandfgbsequentvirgconvffconvfgbsequentavirgconvforfgbsequentavirgvirgconvffconvfgbsequentaconvforfgsequentavirgconvffconvfgconvssequentavirgconvfandfgb*convssequentavirgconvffbconvssequentavirgconvfgbconvssequentaconvfandfg*convssequentaconvffconvssequentaconvfgconvssequentvirgconvforfgab*convssequentvirgconvffabconvssequentvirgconvfgabconvssequentconvforfgb*convssequentconvffbconvssequentconvfgbconvssequentvirgconvffavirgconvffbemptyssetconvssequentvirgconvffaconvffemptyssetconvssequentconvffvirgconvffbemptyssetconvssequentconvffconvffemptysset*convssequentvirgfavirggbconvssequentabconvssequentab*convssequentvirgfabconvssequentabconvssequentab*convssequentavirgfbconvssequentabconvssequentab*convssequentvirgfabconvssequentaemptyfsetconvssequentaemptyfset*convssequentemptyfsetbconvssequentavirgfbconvssequentemptyfsetb*convssequentemptyfsetbconvssequentabconvssequentemptyfsetb*convssequentaemptyfsetconvssequentabconvssequentaemptyfset*convssequentemptyfsetemptyfsetconvssequentabconvssequentemptyfsetemptyfsetsubstt2ef1substf2Pe1neg1and2or2imp2forall1.210ron2shift0exists1id0virg2ACemptyfset0*2ACemptysset0sequent2convf1convs1FULL./TRS/CimeAC/sequent_modulo.trs