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Compl Integ Trans Syste 26843 pair #381744677
details
property
value
status
complete
benchmark
alain.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
27.9163069725 seconds
cpu usage
34.361124095
max memory
5.55229184E8
stage attributes
key
value
output-size
80263
starexec-result
WORST_CASE(Omega(n^2), O(n^3))
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^2), O(n^3)) proof of /export/starexec/sandbox/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, max(17, 17 + 2 * Arg_4) + nat(4 * Arg_4) + nat(2 * Arg_1) + max(2 * Arg_4 * nat(Arg_4 * Arg_0) + 2 * Arg_4 * max(Arg_2, Arg_0), 2 * Arg_4 * max(Arg_2, Arg_0) + 2 * Arg_4 * nat(Arg_0 * Arg_4), 0) + max(2, 2 + Arg_4)). (0) CpxIntTrs (1) Koat2 Proof [FINISHED, 26.1 s] (2) BOUNDS(1, max(17, 17 + 2 * Arg_4) + nat(4 * Arg_4) + nat(2 * Arg_1) + max(2 * Arg_4 * nat(Arg_4 * Arg_0) + 2 * Arg_4 * max(Arg_2, Arg_0), 2 * Arg_4 * max(Arg_2, Arg_0) + 2 * Arg_4 * nat(Arg_0 * Arg_4), 0) + max(2, 2 + Arg_4)) (3) Loat Proof [FINISHED, 2299 ms] (4) BOUNDS(n^2, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_alain_start(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb0_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_bb0_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_0(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_0(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_1(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_1(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_2(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_2(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_3(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_3(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_4(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_4(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_5(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_5(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_6(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_6(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_n2 <= 2 * v_y eval_alain_6(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_n2 <= v_z + v_y eval_alain_6(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb1_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_n2 > 2 * v_y && v_n2 > v_z + v_y eval_alain_bb1_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb2_in(v_z, v_n1, v_n2, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_z >= 0 && v_x >= 0 && v_y >= 0 && v_n1 >= 0 && v_n2 >= 0 eval_alain_bb1_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_z < 0 eval_alain_bb1_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_x < 0 eval_alain_bb1_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_y < 0 eval_alain_bb1_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_n1 < 0 eval_alain_bb1_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v_n2 < 0 eval_alain_bb2_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb3_in(v__01, v__02, v__03, v__1, v__14, v_15, v__02 - 1, v_n1, v_n2, v_x, v_y, v_z)) :|: v__02 - 1 >= 0 eval_alain_bb2_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v__02 - 1 < 0 eval_alain_bb3_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb4_in(v__01, v__02, v__03, v__01, v__03, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_bb4_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb5_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v__14 > 0 eval_alain_bb4_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb6_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: v__14 <= 0 eval_alain_bb5_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb4_in(v__01, v__02, v__03, v_y, v__14 - 1, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_bb6_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_17(v__01, v__02, v__03, v__1, v__14, v__1 + v_y, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_17(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_18(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_18(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_19(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_19(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_bb2_in(v_15, v_9, v_15, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE eval_alain_bb7_in(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z) -> Com_1(eval_alain_stop(v__01, v__02, v__03, v__1, v__14, v_15, v_9, v_n1, v_n2, v_x, v_y, v_z)) :|: TRUE The start-symbols are:[eval_alain_start_12] ---------------------------------------- (1) Koat2 Proof (FINISHED) YES( ?, 17+2*max([0, Arg_4])+max([0, Arg_4])+max([0, Arg_1])+max([0, max([Arg_4*(max([Arg_0, Arg_2])+max([0, -(Arg_0)*-(Arg_4)])), Arg_4*(max([Arg_0, Arg_2])+max([0, Arg_4*Arg_0]))])])+max([2, 2+Arg_4])+max([0, Arg_4])+max([0, Arg_1])+max([0, max([Arg_4*(max([Arg_0, Arg_2])+max([0, -(Arg_0)*-(Arg_4)])), Arg_4*(max([Arg_0, Arg_2])+max([0, Arg_4*Arg_0]))])])+max([0, Arg_4])+max([0, Arg_4]) {O(n^3)}) Initial Complexity Problem: Start: evalalainstart Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7, Arg_8, Arg_9, Arg_10, Arg_11 Temp_Vars: Locations: evalalain0, evalalain1, evalalain17, evalalain18, evalalain19, evalalain2, evalalain3, evalalain4, evalalain5, evalalain6, evalalainbb0in, evalalainbb1in, evalalainbb2in, evalalainbb3in, evalalainbb4in, evalalainbb5in, evalalainbb6in, evalalainbb7in, evalalainstart, evalalainstop Transitions: evalalain0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: evalalain1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: evalalain17(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain18(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_9 <= Arg_11 && 0 <= Arg_9 && 0 <= Arg_8+Arg_9 && 0 <= Arg_7+Arg_9 && 1 <= Arg_6+Arg_9 && 0 <= Arg_5+Arg_9 && 1 <= Arg_4+Arg_9 && 0 <= Arg_3+Arg_9 && 0 <= Arg_2+Arg_9 && 0 <= Arg_11+Arg_9 && 0 <= Arg_10+Arg_9 && Arg_10 <= Arg_9 && 0 <= Arg_0+Arg_9 && 1+Arg_8 <= Arg_6 && 1+Arg_8 <= Arg_4 && 0 <= Arg_8 && 0 <= Arg_7+Arg_8 && 1 <= Arg_6+Arg_8 && Arg_6 <= 1+Arg_8 && 0 <= Arg_5+Arg_8 && 1 <= Arg_4+Arg_8 && 0 <= Arg_3+Arg_8 && 0 <= Arg_2+Arg_8 && 0 <= Arg_11+Arg_8 && 0 <= Arg_10+Arg_8 && Arg_10 <= Arg_8 && 0 <= Arg_0+Arg_8 && 0 <= Arg_7 && 1 <= Arg_6+Arg_7 && 0 <= Arg_5+Arg_7 && 1 <= Arg_4+Arg_7 && 0 <= Arg_3+Arg_7 && 0 <= Arg_2+Arg_7 && 0 <= Arg_11+Arg_7 && 0 <= Arg_10+Arg_7 && Arg_10 <= Arg_7 && 0 <= Arg_0+Arg_7 && Arg_6 <= Arg_4 && 1 <= Arg_6 && 1 <= Arg_5+Arg_6 && 2 <= Arg_4+Arg_6 && 1 <= Arg_3+Arg_6 && 1 <= Arg_2+Arg_6 && 1 <= Arg_11+Arg_6 && 1 <= Arg_10+Arg_6 && 1+Arg_10 <= Arg_6 && 1 <= Arg_0+Arg_6 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && 0 <= Arg_2+Arg_5 && 0 <= Arg_11+Arg_5 && 0 <= Arg_10+Arg_5 && Arg_10 <= Arg_5 && 0 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 1 <= Arg_11+Arg_4 && 1 <= Arg_10+Arg_4 && 1+Arg_10 <= Arg_4 && 1 <= Arg_0+Arg_4 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 0 <= Arg_11+Arg_3 && 0 <= Arg_10+Arg_3 && Arg_10 <= Arg_3 && 0 <= Arg_0+Arg_3 && 0 <= Arg_2 && 0 <= Arg_11+Arg_2 && 0 <= Arg_10+Arg_2 && Arg_10 <= Arg_2 && 0 <= Arg_0+Arg_2 && 0 <= Arg_11 && 0 <= Arg_10+Arg_11 && Arg_10 <= Arg_11 && 0 <= Arg_0+Arg_11 && Arg_0 <= Arg_11 && Arg_10 <= 0 && Arg_10 <= Arg_0 && 0 <= Arg_10 && 0 <= Arg_0+Arg_10 && 0 <= Arg_0 evalalain18(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain19(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_9 <= Arg_11 && 0 <= Arg_9 && 0 <= Arg_8+Arg_9 && 0 <= Arg_7+Arg_9 && 1 <= Arg_6+Arg_9 && 0 <= Arg_5+Arg_9 && 1 <= Arg_4+Arg_9 && 0 <= Arg_3+Arg_9 && 0 <= Arg_2+Arg_9 && 0 <= Arg_11+Arg_9 && 0 <= Arg_10+Arg_9 && Arg_10 <= Arg_9 && 0 <= Arg_0+Arg_9 && 1+Arg_8 <= Arg_6 && 1+Arg_8 <= Arg_4 && 0 <= Arg_8 && 0 <= Arg_7+Arg_8 && 1 <= Arg_6+Arg_8 && Arg_6 <= 1+Arg_8 && 0 <= Arg_5+Arg_8 && 1 <= Arg_4+Arg_8 && 0 <= Arg_3+Arg_8 && 0 <= Arg_2+Arg_8 && 0 <= Arg_11+Arg_8 && 0 <= Arg_10+Arg_8 && Arg_10 <= Arg_8 && 0 <= Arg_0+Arg_8 && 0 <= Arg_7 && 1 <= Arg_6+Arg_7 && 0 <= Arg_5+Arg_7 && 1 <= Arg_4+Arg_7 && 0 <= Arg_3+Arg_7 && 0 <= Arg_2+Arg_7 && 0 <= Arg_11+Arg_7 && 0 <= Arg_10+Arg_7 && Arg_10 <= Arg_7 && 0 <= Arg_0+Arg_7 && Arg_6 <= Arg_4 && 1 <= Arg_6 && 1 <= Arg_5+Arg_6 && 2 <= Arg_4+Arg_6 && 1 <= Arg_3+Arg_6 && 1 <= Arg_2+Arg_6 && 1 <= Arg_11+Arg_6 && 1 <= Arg_10+Arg_6 && 1+Arg_10 <= Arg_6 && 1 <= Arg_0+Arg_6 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && 0 <= Arg_2+Arg_5 && 0 <= Arg_11+Arg_5 && 0 <= Arg_10+Arg_5 && Arg_10 <= Arg_5 && 0 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 1 <= Arg_11+Arg_4 && 1 <= Arg_10+Arg_4 && 1+Arg_10 <= Arg_4 && 1 <= Arg_0+Arg_4 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 0 <= Arg_11+Arg_3 && 0 <= Arg_10+Arg_3 && Arg_10 <= Arg_3 && 0 <= Arg_0+Arg_3 && 0 <= Arg_2 && 0 <= Arg_11+Arg_2 && 0 <= Arg_10+Arg_2 && Arg_10 <= Arg_2 && 0 <= Arg_0+Arg_2 && 0 <= Arg_11 && 0 <= Arg_10+Arg_11 && Arg_10 <= Arg_11 && 0 <= Arg_0+Arg_11 && Arg_0 <= Arg_11 && Arg_10 <= 0 && Arg_10 <= Arg_0 && 0 <= Arg_10 && 0 <= Arg_0+Arg_10 && 0 <= Arg_0 evalalain19(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalainbb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_11,Arg_8,Arg_11,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_9 <= Arg_11 && 0 <= Arg_9 && 0 <= Arg_8+Arg_9 && 0 <= Arg_7+Arg_9 && 1 <= Arg_6+Arg_9 && 0 <= Arg_5+Arg_9 && 1 <= Arg_4+Arg_9 && 0 <= Arg_3+Arg_9 && 0 <= Arg_2+Arg_9 && 0 <= Arg_11+Arg_9 && 0 <= Arg_10+Arg_9 && Arg_10 <= Arg_9 && 0 <= Arg_0+Arg_9 && 1+Arg_8 <= Arg_6 && 1+Arg_8 <= Arg_4 && 0 <= Arg_8 && 0 <= Arg_7+Arg_8 && 1 <= Arg_6+Arg_8 && Arg_6 <= 1+Arg_8 && 0 <= Arg_5+Arg_8 && 1 <= Arg_4+Arg_8 && 0 <= Arg_3+Arg_8 && 0 <= Arg_2+Arg_8 && 0 <= Arg_11+Arg_8 && 0 <= Arg_10+Arg_8 && Arg_10 <= Arg_8 && 0 <= Arg_0+Arg_8 && 0 <= Arg_7 && 1 <= Arg_6+Arg_7 && 0 <= Arg_5+Arg_7 && 1 <= Arg_4+Arg_7 && 0 <= Arg_3+Arg_7 && 0 <= Arg_2+Arg_7 && 0 <= Arg_11+Arg_7 && 0 <= Arg_10+Arg_7 && Arg_10 <= Arg_7 && 0 <= Arg_0+Arg_7 && Arg_6 <= Arg_4 && 1 <= Arg_6 && 1 <= Arg_5+Arg_6 && 2 <= Arg_4+Arg_6 && 1 <= Arg_3+Arg_6 && 1 <= Arg_2+Arg_6 && 1 <= Arg_11+Arg_6 && 1 <= Arg_10+Arg_6 && 1+Arg_10 <= Arg_6 && 1 <= Arg_0+Arg_6 && 0 <= Arg_5 && 1 <= Arg_4+Arg_5 && 0 <= Arg_3+Arg_5 && 0 <= Arg_2+Arg_5 && 0 <= Arg_11+Arg_5 && 0 <= Arg_10+Arg_5 && Arg_10 <= Arg_5 && 0 <= Arg_0+Arg_5 && 1 <= Arg_4 && 1 <= Arg_3+Arg_4 && 1 <= Arg_2+Arg_4 && 1 <= Arg_11+Arg_4 && 1 <= Arg_10+Arg_4 && 1+Arg_10 <= Arg_4 && 1 <= Arg_0+Arg_4 && 0 <= Arg_3 && 0 <= Arg_2+Arg_3 && 0 <= Arg_11+Arg_3 && 0 <= Arg_10+Arg_3 && Arg_10 <= Arg_3 && 0 <= Arg_0+Arg_3 && 0 <= Arg_2 && 0 <= Arg_11+Arg_2 && 0 <= Arg_10+Arg_2 && Arg_10 <= Arg_2 && 0 <= Arg_0+Arg_2 && 0 <= Arg_11 && 0 <= Arg_10+Arg_11 && Arg_10 <= Arg_11 && 0 <= Arg_0+Arg_11 && Arg_0 <= Arg_11 && Arg_10 <= 0 && Arg_10 <= Arg_0 && 0 <= Arg_10 && 0 <= Arg_0+Arg_10 && 0 <= Arg_0 evalalain2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: evalalain3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: evalalain4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: evalalain5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalain6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|: evalalain6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalainbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:(2)*Arg_0+1 <= Arg_1 && Arg_2+Arg_0+1 <= Arg_1 evalalain6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalainbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_1 <= (2)*Arg_0 evalalain6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11) -> evalalainbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11):|:Arg_1 <= Arg_2+Arg_0
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return to Compl Integ Trans Syste 26843