details

property	value
status	complete
benchmark	isort.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	hoca

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	6.32841897011 seconds
cpu usage	30.408819407
max memory	1.9202048E8

stage attributes

key	value
output-size	59097
starexec-result	WORST_CASE(Omega(n^1),O(n^3))

output

/export/starexec/sandbox/solver/bin/starexec_run_tct_rci /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),O(n^3)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^3)) + Considered Problem: - Strict TRS: cond_insert_ord_x_ys_1(False(),x3,x2,x1) -> Cons(x2,insert#3(x3,x1)) cond_insert_ord_x_ys_1(True(),x3,x2,x1) -> Cons(x3,Cons(x2,x1)) insert#3(x2,Nil()) -> Cons(x2,Nil()) insert#3(x6,Cons(x4,x2)) -> cond_insert_ord_x_ys_1(leq#2(x6,x4),x6,x4,x2) leq#2(0(),x8) -> True() leq#2(S(x12),0()) -> False() leq#2(S(x4),S(x2)) -> leq#2(x4,x2) main(x1) -> sort#2(x1) sort#2(Cons(x4,x2)) -> insert#3(x4,sort#2(x2)) sort#2(Nil()) -> Nil() - Signature: {cond_insert_ord_x_ys_1/4,insert#3/2,leq#2/2,main/1,sort#2/1} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {cond_insert_ord_x_ys_1,insert#3,leq#2,main ,sort#2} and constructors {0,Cons,False,Nil,S,True} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: cond_insert_ord_x_ys_1(False(),x3,x2,x1) -> Cons(x2,insert#3(x3,x1)) cond_insert_ord_x_ys_1(True(),x3,x2,x1) -> Cons(x3,Cons(x2,x1)) insert#3(x2,Nil()) -> Cons(x2,Nil()) insert#3(x6,Cons(x4,x2)) -> cond_insert_ord_x_ys_1(leq#2(x6,x4),x6,x4,x2) leq#2(0(),x8) -> True() leq#2(S(x12),0()) -> False() leq#2(S(x4),S(x2)) -> leq#2(x4,x2) main(x1) -> sort#2(x1) sort#2(Cons(x4,x2)) -> insert#3(x4,sort#2(x2)) sort#2(Nil()) -> Nil() - Signature: {cond_insert_ord_x_ys_1/4,insert#3/2,leq#2/2,main/1,sort#2/1} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {cond_insert_ord_x_ys_1,insert#3,leq#2,main ,sort#2} and constructors {0,Cons,False,Nil,S,True} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: leq#2(x,y){x -> S(x),y -> S(y)} = leq#2(S(x),S(y)) ->^+ leq#2(x,y) = C[leq#2(x,y) = leq#2(x,y){}] ** Step 1.b:1: DependencyPairs WORST_CASE(?,O(n^3)) + Considered Problem: - Strict TRS: cond_insert_ord_x_ys_1(False(),x3,x2,x1) -> Cons(x2,insert#3(x3,x1)) cond_insert_ord_x_ys_1(True(),x3,x2,x1) -> Cons(x3,Cons(x2,x1)) insert#3(x2,Nil()) -> Cons(x2,Nil()) insert#3(x6,Cons(x4,x2)) -> cond_insert_ord_x_ys_1(leq#2(x6,x4),x6,x4,x2) leq#2(0(),x8) -> True() leq#2(S(x12),0()) -> False() leq#2(S(x4),S(x2)) -> leq#2(x4,x2) main(x1) -> sort#2(x1) sort#2(Cons(x4,x2)) -> insert#3(x4,sort#2(x2)) sort#2(Nil()) -> Nil() - Signature: {cond_insert_ord_x_ys_1/4,insert#3/2,leq#2/2,main/1,sort#2/1} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {cond_insert_ord_x_ys_1,insert#3,leq#2,main ,sort#2} and constructors {0,Cons,False,Nil,S,True} + Applied Processor: DependencyPairs {dpKind_ = DT} + Details: We add the following dependency tuples: Strict DPs cond_insert_ord_x_ys_1#(False(),x3,x2,x1) -> c_1(insert#3#(x3,x1)) cond_insert_ord_x_ys_1#(True(),x3,x2,x1) -> c_2() insert#3#(x2,Nil()) -> c_3() insert#3#(x6,Cons(x4,x2)) -> c_4(cond_insert_ord_x_ys_1#(leq#2(x6,x4),x6,x4,x2),leq#2#(x6,x4)) leq#2#(0(),x8) -> c_5() leq#2#(S(x12),0()) -> c_6() leq#2#(S(x4),S(x2)) -> c_7(leq#2#(x4,x2)) main#(x1) -> c_8(sort#2#(x1)) sort#2#(Cons(x4,x2)) -> c_9(insert#3#(x4,sort#2(x2)),sort#2#(x2)) sort#2#(Nil()) -> c_10() Weak DPs and mark the set of starting terms. ** Step 1.b:2: PredecessorEstimation WORST_CASE(?,O(n^3)) + Considered Problem: - Strict DPs: cond_insert_ord_x_ys_1#(False(),x3,x2,x1) -> c_1(insert#3#(x3,x1)) cond_insert_ord_x_ys_1#(True(),x3,x2,x1) -> c_2() insert#3#(x2,Nil()) -> c_3() insert#3#(x6,Cons(x4,x2)) -> c_4(cond_insert_ord_x_ys_1#(leq#2(x6,x4),x6,x4,x2),leq#2#(x6,x4)) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Runti Compl Inner Rewri 22807