NO Initial ITS Start location: __init Program variables: arg1 arg2 arg3 0: f1_0_main_Load -> f169_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg3p1+arg2 == 0 /\ 1+arg2 > 0 /\ 1-arg2p1 == 0 /\ 1-arg1p1 == 0 /\ arg1 > 0), cost: 1 1: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ 1-arg2p2+arg2 == 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ -arg3p2 == 0 /\ 1-arg1p2+arg2 == 0 /\ arg2 > 0), cost: 1 2: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ 1-arg2p3+arg2 == 0 /\ arg1 > 0 /\ -arg3p3 == 0 /\ 1-arg1p3+arg2 == 0 /\ arg2 > 0), cost: 1 3: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (1-arg1p4+arg2 == 0 /\ arg3 < 0 /\ arg3+arg2 < 0 /\ 1-arg3-arg3p4 == 0 /\ arg1 > 0 /\ 1-arg2p4+arg2 == 0 /\ arg2 > 0), cost: 1 4: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1-arg2p5+arg2 == 0 /\ arg3 > 0 /\ 1-arg1p5+arg2 == 0 /\ arg3+arg2 < 0 /\ 1-arg3-arg3p5 == 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 5: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 1-arg2p6+arg2 == 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ -1-arg3p6-arg3 == 0 /\ 1-arg1p6+arg2 == 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1p7, arg2'=arg2p7, arg3'=arg3p7, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 arg3 1: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ 1-arg2p2+arg2 == 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ -arg3p2 == 0 /\ 1-arg1p2+arg2 == 0 /\ arg2 > 0), cost: 1 2: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ 1-arg2p3+arg2 == 0 /\ arg1 > 0 /\ -arg3p3 == 0 /\ 1-arg1p3+arg2 == 0 /\ arg2 > 0), cost: 1 3: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (1-arg1p4+arg2 == 0 /\ arg3 < 0 /\ arg3+arg2 < 0 /\ 1-arg3-arg3p4 == 0 /\ arg1 > 0 /\ 1-arg2p4+arg2 == 0 /\ arg2 > 0), cost: 1 4: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1-arg2p5+arg2 == 0 /\ arg3 > 0 /\ 1-arg1p5+arg2 == 0 /\ arg3+arg2 < 0 /\ 1-arg3-arg3p5 == 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 5: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 1-arg2p6+arg2 == 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ -1-arg3p6-arg3 == 0 /\ 1-arg1p6+arg2 == 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 7: __init -> f169_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1-arg2p1 == 0 /\ -arg3p1+arg2p7 == 0 /\ 1+arg2p7 > 0 /\ arg1p7 > 0 /\ 1-arg1p1 == 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p7, arg2'=arg2p7, arg3'=arg3p7, T, cost: 1 Second rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg3p1+arg2 == 0 /\ 1+arg2 > 0 /\ 1-arg2p1 == 0 /\ 1-arg1p1 == 0 /\ arg1 > 0), cost: 1 New rule: __init -> f169_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1-arg2p1 == 0 /\ -arg3p1+arg2p7 == 0 /\ 1+arg2p7 > 0 /\ arg1p7 > 0 /\ 1-arg1p1 == 0), cost: 1 Applied deletion Removed the following rules: 0 6 Simplified Transitions Start location: __init Program variables: arg1 arg2 arg3 8: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 9: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 10: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 11: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 > 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 12: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=-1-arg3, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 13: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (1+arg2p7 > 0), cost: 1 Propagated Equalities Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ 1-arg2p2+arg2 == 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ -arg3p2 == 0 /\ 1-arg1p2+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (0 == 0 /\ arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 propagated equality arg2p2 = 1+arg2 propagated equality arg3p2 = 0 propagated equality arg1p2 = 1+arg2 Simplified Guard Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (0 == 0 /\ arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Propagated Equalities Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ 1-arg2p3+arg2 == 0 /\ arg1 > 0 /\ -arg3p3 == 0 /\ 1-arg1p3+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (0 == 0 /\ arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 propagated equality arg2p3 = 1+arg2 propagated equality arg3p3 = 0 propagated equality arg1p3 = 1+arg2 Simplified Guard Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (0 == 0 /\ arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Propagated Equalities Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (1-arg1p4+arg2 == 0 /\ arg3 < 0 /\ arg3+arg2 < 0 /\ 1-arg3-arg3p4 == 0 /\ arg1 > 0 /\ 1-arg2p4+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (0 == 0 /\ arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 propagated equality arg1p4 = 1+arg2 propagated equality arg3p4 = 1-arg3 propagated equality arg2p4 = 1+arg2 Simplified Guard Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (0 == 0 /\ arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Propagated Equalities Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1-arg2p5+arg2 == 0 /\ arg3 > 0 /\ 1-arg1p5+arg2 == 0 /\ arg3+arg2 < 0 /\ 1-arg3-arg3p5 == 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (0 == 0 /\ arg3 > 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 propagated equality arg2p5 = 1+arg2 propagated equality arg1p5 = 1+arg2 propagated equality arg3p5 = 1-arg3 Simplified Guard Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (0 == 0 /\ arg3 > 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 > 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Propagated Equalities Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 1-arg2p6+arg2 == 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ -1-arg3p6-arg3 == 0 /\ 1-arg1p6+arg2 == 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=-1-arg3, (0 == 0 /\ -arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 propagated equality arg2p6 = 1+arg2 propagated equality arg3p6 = -1-arg3 propagated equality arg1p6 = 1+arg2 Simplified Guard Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=-1-arg3, (0 == 0 /\ -arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=-1-arg3, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 Propagated Equalities Original rule: __init -> f169_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1-arg2p1 == 0 /\ -arg3p1+arg2p7 == 0 /\ 1+arg2p7 > 0 /\ arg1p7 > 0 /\ 1-arg1p1 == 0), cost: 1 New rule: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (0 == 0 /\ 1+arg2p7 > 0 /\ arg1p7 > 0), cost: 1 propagated equality arg2p1 = 1 propagated equality arg3p1 = arg2p7 propagated equality arg1p1 = 1 Simplified Guard Original rule: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (0 == 0 /\ 1+arg2p7 > 0 /\ arg1p7 > 0), cost: 1 New rule: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (1+arg2p7 > 0 /\ arg1p7 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (1+arg2p7 > 0 /\ arg1p7 > 0), cost: 1 New rule: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (1+arg2p7 > 0), cost: 1 Unrolled Loops Start location: __init Program variables: arg1 arg2 arg3 8: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 9: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 10: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 11: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 > 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 12: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=-1-arg3, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 14: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (arg3 < 0 /\ 1+arg2 > 0 /\ 1-arg3 < 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 15: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (arg3 > 0 /\ 1+arg2 > 0 /\ 1-arg3 > 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 16: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (-arg3+arg2 < 0 /\ -arg3+arg2 >= 0 /\ 1-arg3+arg2 <= 0 /\ 1+arg2 > 0 /\ -2-arg3 > 0 /\ 1-arg3 > 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 3+arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ 2+arg3+arg2 < 0 /\ arg2 > 0), cost: 1 13: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (1+arg2p7 > 0), cost: 1 Unrolling Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=arg3, (arg3 < 0 /\ 1+arg2 > 0 /\ 1-arg3 < 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Removed Trivial Updates Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=arg3, (arg3 < 0 /\ 1+arg2 > 0 /\ 1-arg3 < 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (arg3 < 0 /\ 1+arg2 > 0 /\ 1-arg3 < 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Unrolling Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 > 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=arg3, (arg3 > 0 /\ 1+arg2 > 0 /\ 1-arg3 > 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Removed Trivial Updates Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=arg3, (arg3 > 0 /\ 1+arg2 > 0 /\ 1-arg3 > 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (arg3 > 0 /\ 1+arg2 > 0 /\ 1-arg3 > 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 Unrolling Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=-1-arg3, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=arg3, (-arg3+arg2 < 0 /\ -arg3+arg2 >= 0 /\ 1-arg3+arg2 <= 0 /\ 1+arg2 > 0 /\ -2-arg3 > 0 /\ 1-arg3 > 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 3+arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ 2+arg3+arg2 < 0 /\ arg2 > 0), cost: 1 Removed Trivial Updates Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=arg3, (-arg3+arg2 < 0 /\ -arg3+arg2 >= 0 /\ 1-arg3+arg2 <= 0 /\ 1+arg2 > 0 /\ -2-arg3 > 0 /\ 1-arg3 > 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 3+arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ 2+arg3+arg2 < 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (-arg3+arg2 < 0 /\ -arg3+arg2 >= 0 /\ 1-arg3+arg2 <= 0 /\ 1+arg2 > 0 /\ -2-arg3 > 0 /\ 1-arg3 > 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 3+arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ 2+arg3+arg2 < 0 /\ arg2 > 0), cost: 1 Step with 13 Trace 13[(1+arg2p7 > 0)] Blocked [{}, {}] Step with 9 Trace 13[(1+arg2p7 > 0)], 9[(arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0)] Blocked [{}, {8[T]}, {}] Acceleration Failed marked recursive suffix as redundant Backtrack Trace 13[(1+arg2p7 > 0)] Blocked [{}, {8[T], 9[T]}] Step with 12 Trace 13[(1+arg2p7 > 0)], 12[(-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0)] Blocked [{}, {8[T], 9[T], 10[T], 11[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 10 Trace 13[(1+arg2p7 > 0)], 12[(-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0)], 10[(arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0)] Blocked [{}, {8[T], 9[T], 10[T], 11[T]}, {8[T], 9[T], 12[T], 14[T], 15[T], 16[T]}, {}] Acceleration Failed marked recursive suffix as redundant Nonterm Start location: __init Program variables: arg1 arg2 arg3 8: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 < 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 9: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=0, (arg3 > 0 /\ arg3-arg2 <= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 10: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 11: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=1-arg3, (arg3 > 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 12: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg2'=1+arg2, arg3'=-1-arg3, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 14: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (arg3 < 0 /\ 1+arg2 > 0 /\ 1-arg3 < 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 15: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (arg3 > 0 /\ 1+arg2 > 0 /\ 1-arg3 > 0 /\ 2-arg3+arg2 < 0 /\ arg3+arg2 < 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 16: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, (-arg3+arg2 < 0 /\ -arg3+arg2 >= 0 /\ 1-arg3+arg2 <= 0 /\ 1+arg2 > 0 /\ -2-arg3 > 0 /\ 1-arg3 > 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ arg1 > 0 /\ 3+arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ 2+arg3+arg2 < 0 /\ arg2 > 0), cost: 1 17: f169_0_loop_EQ -> LoAT_sink : (1+arg2 > 0 /\ arg3-arg2 > 0 /\ -1+arg3 > 0 /\ -1+n >= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0 /\ 1+arg3 > 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: NONTERM 18: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n+arg2, arg2'=2*n+arg2, arg3'=arg3+2*n, (1+arg2 > 0 /\ arg3-arg2 > 0 /\ -1+arg3 > 0 /\ -1+n >= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0 /\ 1+arg3 > 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 13: __init -> f169_0_loop_EQ : arg1'=1, arg2'=1, arg3'=arg2p7, (1+arg2p7 > 0), cost: 1 Certificate of Non-Termination Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=2+arg3, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 1+arg2 > 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ -1-arg3 < 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> LoAT_sink : (1+arg2 > 0 /\ arg3-arg2 > 0 /\ -1+arg3 > 0 /\ -1+n >= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0 /\ 1+arg3 > 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: NONTERM 1+arg2 > 0 [0]: monotonic increase yields 1+arg2 > 0 arg3-arg2 > 0 [0]: monotonic increase yields arg3-arg2 > 0 -1+arg3 > 0 [0]: monotonic increase yields -1+arg3 > 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 arg3+arg2 >= 0 [0]: monotonic increase yields arg3+arg2 >= 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 -1+arg3-arg2 >= 0 [0]: monotonic increase yields -1+arg3-arg2 >= 0, dependencies: arg3-arg2 > 0 1+arg3 > 0 [0]: monotonic increase yields 1+arg3 > 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 arg1 > 0 [0]: monotonic increase yields arg1 > 0, dependencies: 1+arg2 > 0 2+arg3 > 0 [0]: monotonic increase yields 2+arg3 > 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0, dependencies: 1+arg2 > 0 Replacement map: {1+arg2 > 0 -> 1+arg2 > 0, arg3-arg2 > 0 -> arg3-arg2 > 0, -1+arg3 > 0 -> -1+arg3 > 0, arg3+arg2 >= 0 -> arg3+arg2 >= 0, -1+arg3-arg2 >= 0 -> -1+arg3-arg2 >= 0, 1+arg3 > 0 -> 1+arg3 > 0, arg1 > 0 -> arg1 > 0, 2+arg3 > 0 -> 2+arg3 > 0, arg2 > 0 -> arg2 > 0} Loop Acceleration Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg2'=2+arg2, arg3'=2+arg3, (-arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 1+arg2 > 0 /\ -1+arg3 > 0 /\ arg3+arg2 >= 0 /\ -1-arg3 < 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n+arg2, arg2'=2*n+arg2, arg3'=arg3+2*n, (1+arg2 > 0 /\ arg3-arg2 > 0 /\ -1+arg3 > 0 /\ -1+n >= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0 /\ 1+arg3 > 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0), cost: 1 1+arg2 > 0 [0]: monotonic increase yields 1+arg2 > 0 arg3-arg2 > 0 [0]: monotonic increase yields arg3-arg2 > 0 -1+arg3 > 0 [0]: monotonic increase yields -1+arg3 > 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 arg3+arg2 >= 0 [0]: monotonic increase yields arg3+arg2 >= 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 -1+arg3-arg2 >= 0 [0]: monotonic increase yields -1+arg3-arg2 >= 0, dependencies: arg3-arg2 > 0 1+arg3 > 0 [0]: monotonic increase yields 1+arg3 > 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 arg1 > 0 [0]: monotonic increase yields arg1 > 0, dependencies: 1+arg2 > 0 2+arg3 > 0 [0]: monotonic increase yields 2+arg3 > 0, dependencies: 1+arg2 > 0 arg3-arg2 > 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0, dependencies: 1+arg2 > 0 Replacement map: {1+arg2 > 0 -> 1+arg2 > 0, arg3-arg2 > 0 -> arg3-arg2 > 0, -1+arg3 > 0 -> -1+arg3 > 0, arg3+arg2 >= 0 -> arg3+arg2 >= 0, -1+arg3-arg2 >= 0 -> -1+arg3-arg2 >= 0, 1+arg3 > 0 -> 1+arg3 > 0, arg1 > 0 -> arg1 > 0, 2+arg3 > 0 -> 2+arg3 > 0, arg2 > 0 -> arg2 > 0} Step with 17 Trace 13[(1+arg2p7 > 0)], 17[(1+arg2 > 0 /\ arg3-arg2 > 0 /\ -1+arg3 > 0 /\ -1+n >= 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0 /\ 1+arg3 > 0 /\ arg1 > 0 /\ 2+arg3 > 0 /\ arg2 > 0)] Blocked [{}, {8[T], 9[T], 10[T], 11[T]}, {17[T]}] Refute Counterexample [ arg1=1 arg2=1 arg3=2 ] 13 [ arg1=arg1 arg2=arg2 arg3=arg3 ] 17 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b