NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f142_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2 > 0 /\ arg1 > 0 /\ -arg2p1+arg2 == 0 /\ 5-arg1p1 == 0), cost: 1 1: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (1+arg1-arg1p2 == 0 /\ 1-arg2p2-arg2 == 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 2: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (1-arg2p3-arg2 == 0 /\ 1-arg1p3+arg1 == 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 3: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (1-arg1p4+arg1 == 0 /\ -arg1+arg2 <= 0 /\ -arg2p4 == 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 4: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-arg2p5 == 0 /\ 1+arg1-arg1p5 == 0 /\ -arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 5: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, (-1-arg2p6-arg2 == 0 /\ -arg1+arg2 > 0 /\ 1-arg1p6+arg1 == 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 6: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p7, arg2'=arg2p7, (1-arg1p7+arg1 == 0 /\ -arg1+arg2 > 0 /\ -1-arg2p7-arg2 == 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1p8, arg2'=arg2p8, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (1+arg1-arg1p2 == 0 /\ 1-arg2p2-arg2 == 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 2: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (1-arg2p3-arg2 == 0 /\ 1-arg1p3+arg1 == 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 3: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (1-arg1p4+arg1 == 0 /\ -arg1+arg2 <= 0 /\ -arg2p4 == 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 4: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-arg2p5 == 0 /\ 1+arg1-arg1p5 == 0 /\ -arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 5: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, (-1-arg2p6-arg2 == 0 /\ -arg1+arg2 > 0 /\ 1-arg1p6+arg1 == 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 6: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p7, arg2'=arg2p7, (1-arg1p7+arg1 == 0 /\ -arg1+arg2 > 0 /\ -1-arg2p7-arg2 == 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 8: __init -> f142_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p8 > 0 /\ arg1p8 > 0 /\ -arg2p1+arg2p8 == 0 /\ 5-arg1p1 == 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p8, arg2'=arg2p8, T, cost: 1 Second rule: f1_0_main_Load -> f142_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2 > 0 /\ arg1 > 0 /\ -arg2p1+arg2 == 0 /\ 5-arg1p1 == 0), cost: 1 New rule: __init -> f142_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p8 > 0 /\ arg1p8 > 0 /\ -arg2p1+arg2p8 == 0 /\ 5-arg1p1 == 0), cost: 1 Applied deletion Removed the following rules: 0 7 Simplified Transitions Start location: __init Program variables: arg1 arg2 9: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 < 0 /\ arg1+arg2 < 0), cost: 1 10: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 > 0 /\ arg1+arg2 < 0), cost: 1 11: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 12: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 13: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 14: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 15: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (1+arg2p8 > 0), cost: 1 Propagated Equalities Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (1+arg1-arg1p2 == 0 /\ 1-arg2p2-arg2 == 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (0 == 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 propagated equality arg1p2 = 1+arg1 propagated equality arg2p2 = 1-arg2 Simplified Guard Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (0 == 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 < 0 /\ arg1+arg2 < 0), cost: 1 Propagated Equalities Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (1-arg2p3-arg2 == 0 /\ 1-arg1p3+arg1 == 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (0 == 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 propagated equality arg2p3 = 1-arg2 propagated equality arg1p3 = 1+arg1 Simplified Guard Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (0 == 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 > 0 /\ arg1+arg2 < 0), cost: 1 Propagated Equalities Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (1-arg1p4+arg1 == 0 /\ -arg1+arg2 <= 0 /\ -arg2p4 == 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (0 == 0 /\ -arg1+arg2 <= 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 propagated equality arg1p4 = 1+arg1 propagated equality arg2p4 = 0 Simplified Guard Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (0 == 0 /\ -arg1+arg2 <= 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 Propagated Equalities Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-arg2p5 == 0 /\ 1+arg1-arg1p5 == 0 /\ -arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (0 == 0 /\ -arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 propagated equality arg2p5 = 0 propagated equality arg1p5 = 1+arg1 Simplified Guard Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (0 == 0 /\ -arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 Propagated Equalities Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, (-1-arg2p6-arg2 == 0 /\ -arg1+arg2 > 0 /\ 1-arg1p6+arg1 == 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (0 == 0 /\ -arg1+arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 propagated equality arg2p6 = -1-arg2 propagated equality arg1p6 = 1+arg1 Simplified Guard Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (0 == 0 /\ -arg1+arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 Propagated Equalities Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=arg1p7, arg2'=arg2p7, (1-arg1p7+arg1 == 0 /\ -arg1+arg2 > 0 /\ -1-arg2p7-arg2 == 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (0 == 0 /\ -arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 propagated equality arg1p7 = 1+arg1 propagated equality arg2p7 = -1-arg2 Simplified Guard Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (0 == 0 /\ -arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 Propagated Equalities Original rule: __init -> f142_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p8 > 0 /\ arg1p8 > 0 /\ -arg2p1+arg2p8 == 0 /\ 5-arg1p1 == 0), cost: 1 New rule: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (0 == 0 /\ 1+arg2p8 > 0 /\ arg1p8 > 0), cost: 1 propagated equality arg2p1 = arg2p8 propagated equality arg1p1 = 5 Simplified Guard Original rule: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (0 == 0 /\ 1+arg2p8 > 0 /\ arg1p8 > 0), cost: 1 New rule: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (1+arg2p8 > 0 /\ arg1p8 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (1+arg2p8 > 0 /\ arg1p8 > 0), cost: 1 New rule: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (1+arg2p8 > 0), cost: 1 Unrolled Loops Start location: __init Program variables: arg1 arg2 9: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 < 0 /\ arg1+arg2 < 0), cost: 1 10: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 > 0 /\ arg1+arg2 < 0), cost: 1 11: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 12: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 13: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 14: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 16: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (2+arg1-arg2 < 0 /\ 1-arg2 < 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 17: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (2+arg1-arg2 < 0 /\ 1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 18: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (-1-arg2 < 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 19: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (-1-arg2 > 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 15: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (1+arg2p8 > 0), cost: 1 Unrolling Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 < 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (2+arg1-arg2 < 0 /\ 1-arg2 < 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 Removed Trivial Updates Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (2+arg1-arg2 < 0 /\ 1-arg2 < 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (2+arg1-arg2 < 0 /\ 1-arg2 < 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 Unrolling Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 > 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (2+arg1-arg2 < 0 /\ 1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 Removed Trivial Updates Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (2+arg1-arg2 < 0 /\ 1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (2+arg1-arg2 < 0 /\ 1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 Unrolling Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (-1-arg2 < 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 Removed Trivial Updates Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (-1-arg2 < 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (-1-arg2 < 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 Unrolling Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (-1-arg2 > 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 Removed Trivial Updates Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=arg2, (-1-arg2 > 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (-1-arg2 > 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 Step with 15 Trace 15[(1+arg2p8 > 0)] Blocked [{}, {}] Step with 12 Trace 15[(1+arg2p8 > 0)], 12[(-arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0)] Blocked [{}, {9[T], 10[T], 11[T]}, {}] Acceleration Failed marked recursive suffix as redundant Backtrack Trace 15[(1+arg2p8 > 0)] Blocked [{}, {9[T], 10[T], 11[T], 12[T]}] Step with 14 Trace 15[(1+arg2p8 > 0)], 14[(-arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0)] Blocked [{}, {9[T], 10[T], 11[T], 12[T], 13[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 9 Trace 15[(1+arg2p8 > 0)], 14[(-arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0)], 9[(arg2 < 0 /\ arg1+arg2 < 0)] Blocked [{}, {9[T], 10[T], 11[T], 12[T], 13[T]}, {14[T], 16[T], 17[T], 18[T], 19[T]}, {}] Acceleration Failed marked recursive suffix as redundant Nonterm Start location: __init Program variables: arg1 arg2 9: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 < 0 /\ arg1+arg2 < 0), cost: 1 10: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=1-arg2, (arg2 > 0 /\ arg1+arg2 < 0), cost: 1 11: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 12: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=0, (-arg1+arg2 <= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 13: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 14: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=1+arg1, arg2'=-1-arg2, (-arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 16: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (2+arg1-arg2 < 0 /\ 1-arg2 < 0 /\ arg2 < 0 /\ arg1+arg2 < 0), cost: 1 17: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (2+arg1-arg2 < 0 /\ 1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 < 0), cost: 1 18: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (-1-arg2 < 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 < 0 /\ arg1+arg2 >= 0), cost: 1 19: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, (-1-arg2 > 0 /\ arg1-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -2-arg1-arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 20: f142_0_loop_EQ -> LoAT_sink : (1+arg2 > 0 /\ -arg1+arg2 > 0 /\ -1+n >= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: NONTERM 21: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2*n+arg1, arg2'=2*n+arg2, (1+arg2 > 0 /\ -arg1+arg2 > 0 /\ -1+n >= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 15: __init -> f142_0_loop_EQ : arg1'=5, arg2'=arg2p8, (1+arg2p8 > 0), cost: 1 Certificate of Non-Termination Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=2+arg2, (-1-arg2 < 0 /\ arg1-arg2 < 0 /\ -arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> LoAT_sink : (1+arg2 > 0 /\ -arg1+arg2 > 0 /\ -1+n >= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: NONTERM 1+arg2 > 0 [0]: monotonic increase yields 1+arg2 > 0 -arg1+arg2 > 0 [0]: monotonic increase yields -arg1+arg2 > 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0, dependencies: 1+arg2 > 0 arg1+arg2 >= 0 [0]: monotonic increase yields arg1+arg2 >= 0 Replacement map: {1+arg2 > 0 -> 1+arg2 > 0, -arg1+arg2 > 0 -> -arg1+arg2 > 0, arg2 > 0 -> arg2 > 0, arg1+arg2 >= 0 -> arg1+arg2 >= 0} Loop Acceleration Original rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2+arg1, arg2'=2+arg2, (-1-arg2 < 0 /\ arg1-arg2 < 0 /\ -arg1+arg2 > 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 New rule: f142_0_loop_EQ -> f142_0_loop_EQ : arg1'=2*n+arg1, arg2'=2*n+arg2, (1+arg2 > 0 /\ -arg1+arg2 > 0 /\ -1+n >= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0), cost: 1 1+arg2 > 0 [0]: monotonic increase yields 1+arg2 > 0 -arg1+arg2 > 0 [0]: monotonic increase yields -arg1+arg2 > 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0, dependencies: 1+arg2 > 0 arg1+arg2 >= 0 [0]: monotonic increase yields arg1+arg2 >= 0 Replacement map: {1+arg2 > 0 -> 1+arg2 > 0, -arg1+arg2 > 0 -> -arg1+arg2 > 0, arg2 > 0 -> arg2 > 0, arg1+arg2 >= 0 -> arg1+arg2 >= 0} Step with 20 Trace 15[(1+arg2p8 > 0)], 20[(1+arg2 > 0 /\ -arg1+arg2 > 0 /\ -1+n >= 0 /\ arg2 > 0 /\ arg1+arg2 >= 0)] Blocked [{}, {9[T], 10[T], 11[T], 12[T], 13[T]}, {20[T]}] Refute Counterexample [ arg1=5 arg2=6 ] 15 [ arg1=arg1 arg2=arg2 ] 20 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b