/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE

Problem:
 app(app(h(),z),app(e(),x)) -> app(app(h(),app(c(),z)),app(app(d(),z),x))
 app(app(d(),z),app(app(g(),0()),0())) -> app(e(),0())
 app(app(d(),z),app(app(g(),x),y)) -> app(app(g(),app(e(),x)),app(app(d(),z),y))
 app(app(d(),app(c(),z)),app(app(g(),app(app(g(),x),y)),0())) ->
 app(app(g(),app(app(d(),app(c(),z)),app(app(g(),x),y))),app(app(d(),z),app(app(g(),x),y)))
 app(app(g(),app(e(),x)),app(e(),y)) -> app(e(),app(app(g(),x),y))
 app(app(map(),f),nil()) -> nil()
 app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs))
 app(app(filter(),f),nil()) -> nil()
 app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs)
 app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs))
 app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs)

Proof:
 Open