37.40/11.10 YES 37.40/11.12 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 37.40/11.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 37.40/11.12 37.40/11.12 37.40/11.12 Termination of the given C Problem could be proven: 37.40/11.12 37.40/11.12 (0) C Problem 37.40/11.12 (1) CToLLVMProof [EQUIVALENT, 173 ms] 37.40/11.12 (2) LLVM problem 37.40/11.12 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3907 ms] 37.40/11.12 (4) LLVM Symbolic Execution Graph 37.40/11.12 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 37.40/11.12 (6) AND 37.40/11.12 (7) LLVM Symbolic Execution SCC 37.40/11.12 (8) SCC2IRS [SOUND, 122 ms] 37.40/11.12 (9) IntTRS 37.40/11.12 (10) IRS2T2 [EQUIVALENT, 0 ms] 37.40/11.12 (11) T2IntSys 37.40/11.12 (12) T2 [EQUIVALENT, 1003 ms] 37.40/11.12 (13) YES 37.40/11.12 (14) LLVM Symbolic Execution SCC 37.40/11.12 (15) SCC2IRS [SOUND, 69 ms] 37.40/11.12 (16) IntTRS 37.40/11.12 (17) IRS2T2 [EQUIVALENT, 0 ms] 37.40/11.12 (18) T2IntSys 37.40/11.12 (19) T2 [EQUIVALENT, 918 ms] 37.40/11.12 (20) YES 37.40/11.12 (21) LLVM Symbolic Execution SCC 37.40/11.12 (22) SCC2IRS [SOUND, 41 ms] 37.40/11.12 (23) IntTRS 37.40/11.12 (24) IRS2T2 [EQUIVALENT, 0 ms] 37.40/11.12 (25) T2IntSys 37.40/11.12 (26) T2 [EQUIVALENT, 881 ms] 37.40/11.12 (27) YES 37.40/11.12 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (0) 37.40/11.12 Obligation: 37.40/11.12 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (1) CToLLVMProof (EQUIVALENT) 37.40/11.12 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (2) 37.40/11.12 Obligation: 37.40/11.12 LLVM Problem 37.40/11.12 37.40/11.12 Aliases: 37.40/11.12 37.40/11.12 Data layout: 37.40/11.12 37.40/11.12 "e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128-n8:16:32:64-S128" 37.40/11.12 37.40/11.12 Machine: 37.40/11.12 37.40/11.12 "x86_64-pc-linux-gnu" 37.40/11.12 37.40/11.12 Type definitions: 37.40/11.12 37.40/11.12 Global variables: 37.40/11.12 37.40/11.12 Function declarations and definitions: 37.40/11.12 37.40/11.12 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 37.40/11.12 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 37.40/11.12 0: 37.40/11.12 %1 = alloca i32, align 4 37.40/11.12 %a = alloca i32, align 4 37.40/11.12 %x = alloca i32, align 4 37.40/11.12 %max = alloca i32, align 4 37.40/11.12 store 0, %1 37.40/11.12 %2 = call i32 @__VERIFIER_nondet_int() 37.40/11.12 store %2, %a 37.40/11.12 %3 = call i32 @__VERIFIER_nondet_int() 37.40/11.12 store %3, %x 37.40/11.12 %4 = call i32 @__VERIFIER_nondet_int() 37.40/11.12 store %4, %max 37.40/11.12 %5 = load %max 37.40/11.12 %6 = icmp sgt %5 0 37.40/11.12 br %6, %7, %25 37.40/11.12 7: 37.40/11.12 store 0, %a 37.40/11.12 store 1, %x 37.40/11.12 br %8 37.40/11.12 8: 37.40/11.12 %9 = load %x 37.40/11.12 %10 = load %max 37.40/11.12 %11 = icmp sle %9 %10 37.40/11.12 br %11, %12, %24 37.40/11.12 12: 37.40/11.12 %13 = call i32 @__VERIFIER_nondet_int() 37.40/11.12 %14 = icmp ne %13 0 37.40/11.12 br %14, %15, %18 37.40/11.12 15: 37.40/11.12 %16 = load %a 37.40/11.12 %17 = add %16 1 37.40/11.12 store %17, %a 37.40/11.12 br %21 37.40/11.12 18: 37.40/11.12 %19 = load %a 37.40/11.12 %20 = sub %19 1 37.40/11.12 store %20, %a 37.40/11.12 br %21 37.40/11.12 21: 37.40/11.12 %22 = load %x 37.40/11.12 %23 = add %22 1 37.40/11.12 store %23, %x 37.40/11.12 br %8 37.40/11.12 24: 37.40/11.12 br %25 37.40/11.12 25: 37.40/11.12 ret 0 37.40/11.12 37.40/11.12 37.40/11.12 Analyze Termination of all function calls matching the pattern: 37.40/11.12 main() 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (3) LLVMToTerminationGraphProof (EQUIVALENT) 37.40/11.12 Constructed symbolic execution graph for LLVM program and proved memory safety. 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (4) 37.40/11.12 Obligation: 37.40/11.12 SE Graph 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (5) SymbolicExecutionGraphToSCCProof (SOUND) 37.40/11.12 Splitted symbolic execution graph to 3 SCCs. 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (6) 37.40/11.12 Complex Obligation (AND) 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (7) 37.40/11.12 Obligation: 37.40/11.12 SCC 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (8) SCC2IRS (SOUND) 37.40/11.12 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 37.40/11.12 Generated rules. Obtained 46 rulesP rules: 37.40/11.12 f_598(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_600(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: v1993 = 1 + v1917 && 3 <= v1993 37.40/11.12 f_600(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_602(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_602(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_604(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_604(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_606(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_606(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_608(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_608(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_610(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: v1993 <= v1915 && 3 <= v1915 37.40/11.12 f_610(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_614(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_614(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_618(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_618(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_622(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_622(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_626(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: v2142 != 0 37.40/11.12 f_622(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_627(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) :|: v2142 = 0 37.40/11.12 f_626(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_630(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_630(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_634(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_634(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_672(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, v1923, 3, 2, 4) :|: TRUE 37.40/11.12 f_672(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2622, v2623, v2624, v2625, v2626, v2627, 0, v2629, 3, 2, 4) -> f_675(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2623, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_675(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2623, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_677(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: v2676 = 1 + v2629 37.40/11.12 f_677(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_679(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_679(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_681(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_681(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_595(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_595(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1921, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_598(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_627(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) -> f_631(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_631(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) -> f_635(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) :|: TRUE 37.40/11.12 f_635(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) -> f_674(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, v1923, 3, 2, 4) :|: TRUE 37.40/11.12 f_674(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2666, v2667, v2668, v2669, v2670, v2671, v2672, v2673, v2674, v2675, 3, 2, 4) -> f_676(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2667, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_676(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2667, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_678(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: 1 + v2677 = v2675 37.40/11.12 f_678(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_680(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: TRUE 37.40/11.12 f_680(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_682(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: TRUE 37.40/11.12 f_682(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_652(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2669, v2670, v2668, v2675, v2677, v2671, v2672, v2673, v2674, 3, 2, 4) :|: TRUE 37.40/11.12 f_652(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2447, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_653(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_653(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_654(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2454 = 1 + v2443 && 3 <= v2454 37.40/11.12 f_654(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_655(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE 37.40/11.12 f_655(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_656(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE 37.40/11.12 f_656(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_657(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_657(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_658(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_658(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_659(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2454 <= v2441 && 3 <= v2441 37.40/11.12 f_659(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_661(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_661(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_663(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE 37.40/11.12 f_663(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_665(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE 37.40/11.12 f_665(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_667(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2552 != 0 37.40/11.12 f_665(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_668(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2552 = 0 37.40/11.12 f_667(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_669(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_669(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) -> f_671(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_671(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) -> f_672(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2448, v2449, v2443, v2445, v2446, v2450, v2451, v2452, v2453, 0, v2449, 3, 2, 4) :|: TRUE 37.40/11.12 f_668(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_670(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_670(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_673(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE 37.40/11.12 f_673(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_674(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2448, v2449, v2443, v2445, v2446, v2450, v2451, v2452, v2453, v2449, 3, 2, 4) :|: TRUE 37.40/11.12 Combined rules. Obtained 6 rulesP rules: 37.40/11.12 f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, v1917:0, v1918:0, v1919:0, v1920:0, v1922:0, v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) -> f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, 1 + v1917:0, v2142:0, v1919:0, v1920:0, v1923:0, 1 + v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) :|: v1917:0 > 1 && v1915:0 > 2 && v2142:0 < 0 && v1915:0 >= 1 + v1917:0 37.40/11.12 f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, v1917:0, v1918:0, v1919:0, v1920:0, v1922:0, v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) -> f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, 1 + v1917:0, v2142:0, v1919:0, v1920:0, v1923:0, 1 + v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) :|: v1917:0 > 1 && v1915:0 > 2 && v2142:0 > 0 && v1915:0 >= 1 + v1917:0 37.40/11.12 f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, v1917:0, v1918:0, v1919:0, v1920:0, v1922:0, 1 + v2677:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) -> f_665(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, 1 + (1 + v1917:0), v2552:0, 0, v1922:0, 1 + v2677:0, 1 + v1917:0, 1 + v2677:0, v2677:0, v1924:0, v1925:0, v1926:0, v1927:0, 3, 2, 4) :|: v1917:0 > 1 && v1915:0 > 2 && v1915:0 >= 1 + v1917:0 && v1915:0 >= 1 + (1 + v1917:0) 37.40/11.12 f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, 0, v2445:0, v2446:0, v2443:0, v2448:0, v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) -> f_598(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, v2448:0, v2449:0, v2449:0, 1 + v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 0, 3, 2, 4) :|: v2552:0 < 0 37.40/11.12 f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, 0, v2445:0, v2446:0, v2443:0, v2448:0, v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) -> f_598(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, v2448:0, v2449:0, v2449:0, 1 + v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 0, 3, 2, 4) :|: v2552:0 > 0 37.40/11.12 f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, 0, 0, v2445:0, v2446:0, v2443:0, v2448:0, 1 + v2677:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) -> f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, 1 + v2454:0, v2552:1, 0, v2445:0, v2446:0, v2454:0, 1 + v2677:0, v2677:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) :|: v2454:0 > 1 && v2441:0 >= 1 + v2454:0 && v2441:0 > 2 37.40/11.12 Filtered unneeded arguments: 37.40/11.12 f_598(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_598(x7, x9, x14) 37.40/11.12 f_665(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_665(x7, x9, x10, x16) 37.40/11.12 Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules: 37.40/11.12 f_598(v1915:0, v1917:0, v1923:0) -> f_598(v1915:0, 1 + v1917:0, 1 + v1923:0) :|: v1915:0 > 2 && v1915:0 >= 1 + v1917:0 && v1917:0 > 1 37.40/11.12 f_598(v1915:0, v1917:0, sum~cons_1~v2677:0) -> f_665(v1915:0, 1 + (1 + v1917:0), v2552:0, v2677:0) :|: v1915:0 > 2 && v1917:0 > 1 && v1915:0 >= 1 + (1 + v1917:0) && v1915:0 >= 1 + v1917:0 && sum~cons_1~v2677:0 = 1 + v2677:0 37.40/11.12 f_665(v2441:0, v2454:0, v2552:0, v2449:0) -> f_598(v2441:0, v2454:0, 1 + v2449:0) :|: v2552:0 < 0 37.40/11.12 f_665(v2441:0, v2454:0, v2552:0, v2449:0) -> f_598(v2441:0, v2454:0, 1 + v2449:0) :|: v2552:0 > 0 37.40/11.12 f_665(v2441:0, v2454:0, cons_0, sum~cons_1~v2677:0) -> f_665(v2441:0, 1 + v2454:0, v2552:1, v2677:0) :|: v2441:0 >= 1 + v2454:0 && v2441:0 > 2 && v2454:0 > 1 && cons_0 = 0 && sum~cons_1~v2677:0 = 1 + v2677:0 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (9) 37.40/11.12 Obligation: 37.40/11.12 Rules: 37.40/11.12 f_598(v1915:0, v1917:0, v1923:0) -> f_598(v1915:0, 1 + v1917:0, 1 + v1923:0) :|: v1915:0 > 2 && v1915:0 >= 1 + v1917:0 && v1917:0 > 1 37.40/11.12 f_598(x, x1, x2) -> f_665(x, 1 + (1 + x1), x3, x4) :|: x > 2 && x1 > 1 && x >= 1 + (1 + x1) && x >= 1 + x1 && x2 = 1 + x4 37.40/11.12 f_665(v2441:0, v2454:0, v2552:0, v2449:0) -> f_598(v2441:0, v2454:0, 1 + v2449:0) :|: v2552:0 < 0 37.40/11.12 f_665(x5, x6, x7, x8) -> f_598(x5, x6, 1 + x8) :|: x7 > 0 37.40/11.12 f_665(x9, x10, x11, x12) -> f_665(x9, 1 + x10, x13, x14) :|: x9 >= 1 + x10 && x9 > 2 && x10 > 1 && x11 = 0 && x12 = 1 + x14 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (10) IRS2T2 (EQUIVALENT) 37.40/11.12 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 37.40/11.12 37.40/11.12 (f_598_4,1) 37.40/11.12 (f_665_4,2) 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (11) 37.40/11.12 Obligation: 37.40/11.12 START: 0; 37.40/11.12 37.40/11.12 FROM: 0; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 FROM: 0; 37.40/11.12 TO: 2; 37.40/11.12 37.40/11.12 FROM: 1; 37.40/11.12 oldX0 := x0; 37.40/11.12 oldX1 := x1; 37.40/11.12 oldX2 := x2; 37.40/11.12 oldX3 := x3; 37.40/11.12 oldX4 := nondet(); 37.40/11.12 assume(oldX0 > 2 && oldX0 >= 1 + oldX1 && oldX1 > 1); 37.40/11.12 x0 := oldX0; 37.40/11.12 x1 := 1 + oldX1; 37.40/11.12 x2 := 1 + oldX2; 37.40/11.12 x3 := oldX4; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 FROM: 1; 37.40/11.12 oldX0 := x0; 37.40/11.12 oldX1 := x1; 37.40/11.12 oldX2 := x2; 37.40/11.12 oldX3 := x3; 37.40/11.12 oldX5 := oldX2 - 1; 37.40/11.12 oldX4 := nondet(); 37.40/11.12 assume(oldX0 > 2 && oldX1 > 1 && oldX0 >= 1 + (1 + oldX1) && oldX0 >= 1 + oldX1 && oldX2 = 1 + oldX5); 37.40/11.12 x0 := oldX0; 37.40/11.12 x1 := 1 + (1 + oldX1); 37.40/11.12 x2 := oldX4; 37.40/11.12 x3 := oldX2 - 1; 37.40/11.12 TO: 2; 37.40/11.12 37.40/11.12 FROM: 2; 37.40/11.12 oldX0 := x0; 37.40/11.12 oldX1 := x1; 37.40/11.12 oldX2 := x2; 37.40/11.12 oldX3 := x3; 37.40/11.12 oldX4 := nondet(); 37.40/11.12 assume(oldX2 < 0); 37.40/11.12 x0 := oldX0; 37.40/11.12 x1 := oldX1; 37.40/11.12 x2 := 1 + oldX3; 37.40/11.12 x3 := oldX4; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 FROM: 2; 37.40/11.12 oldX0 := x0; 37.40/11.12 oldX1 := x1; 37.40/11.12 oldX2 := x2; 37.40/11.12 oldX3 := x3; 37.40/11.12 oldX4 := nondet(); 37.40/11.12 assume(oldX2 > 0); 37.40/11.12 x0 := oldX0; 37.40/11.12 x1 := oldX1; 37.40/11.12 x2 := 1 + oldX3; 37.40/11.12 x3 := oldX4; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 FROM: 2; 37.40/11.12 oldX0 := x0; 37.40/11.12 oldX1 := x1; 37.40/11.12 oldX2 := x2; 37.40/11.12 oldX3 := x3; 37.40/11.12 oldX5 := oldX3 - 1; 37.40/11.12 oldX4 := nondet(); 37.40/11.12 assume(oldX0 >= 1 + oldX1 && oldX0 > 2 && oldX1 > 1 && oldX2 = 0 && oldX3 = 1 + oldX5); 37.40/11.12 x0 := oldX0; 37.40/11.12 x1 := 1 + oldX1; 37.40/11.12 x2 := oldX4; 37.40/11.12 x3 := oldX3 - 1; 37.40/11.12 TO: 2; 37.40/11.12 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (12) T2 (EQUIVALENT) 37.40/11.12 Initially, performed program simplifications using lexicographic rank functions: 37.40/11.12 * Removed transitions 2, 5, 6, 14, 17, 18, 19 using the following rank functions: 37.40/11.12 - Rank function 1: 37.40/11.12 RF for loc. 6: -2+2*x0-2*x1 37.40/11.12 RF for loc. 7: 1+2*x0-2*x1 37.40/11.12 RF for loc. 8: -3+2*x0-2*x1 37.40/11.12 RF for loc. 12: 2*x0-2*x1 37.40/11.12 Bound for (chained) transitions 5: -1 37.40/11.12 Bound for (chained) transitions 19: 2 37.40/11.12 - Rank function 2: 37.40/11.12 RF for loc. 6: -4+3*x0-3*x1 37.40/11.12 RF for loc. 7: 1+3*x0-3*x1 37.40/11.12 RF for loc. 8: -4+3*x0-3*x1 37.40/11.12 RF for loc. 12: 3*x0-3*x1 37.40/11.12 Bound for (chained) transitions 6: -1 37.40/11.12 - Rank function 3: 37.40/11.12 RF for loc. 6: -1 37.40/11.12 RF for loc. 7: 1 37.40/11.12 RF for loc. 8: -2 37.40/11.12 RF for loc. 12: 0 37.40/11.12 Bound for (chained) transitions 2: -1 37.40/11.12 Bound for (chained) transitions 14: 1 37.40/11.12 Bound for (chained) transitions 18: 0 37.40/11.12 - Rank function 4: 37.40/11.12 RF for loc. 6: 0 37.40/11.12 RF for loc. 12: 1 37.40/11.12 Bound for (chained) transitions 17: 1 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (13) 37.40/11.12 YES 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (14) 37.40/11.12 Obligation: 37.40/11.12 SCC 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (15) SCC2IRS (SOUND) 37.40/11.12 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 37.40/11.12 Generated rules. Obtained 18 rulesP rules: 37.40/11.12 f_490(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_492(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_492(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_494(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1130 <= v1125 && 2 <= v1125 37.40/11.12 f_494(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_498(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_498(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_502(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_502(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_506(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_506(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_510(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1267 != 0 37.40/11.12 f_510(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_514(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_514(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_518(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_518(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_522(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_522(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_526(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1130 = 1 + v1127 37.40/11.12 f_526(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_530(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_530(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_534(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_534(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_538(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_538(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_541(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1503 = 1 + v1130 && 3 <= v1503 37.40/11.12 f_541(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_544(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_544(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_547(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_547(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_487(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE 37.40/11.12 f_487(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1127, v1128, v1129, v1130, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_490(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0 37.40/11.12 Combined rules. Obtained 2 rulesP rules: 37.40/11.12 f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + v1127:0, v1128:0, v1129:0, v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) -> f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + (1 + v1127:0), v1267:0, v1127:0, 1 + v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) :|: v1125:0 > 1 && v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1267:0 < 0 37.40/11.12 f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + v1127:0, v1128:0, v1129:0, v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) -> f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + (1 + v1127:0), v1267:0, v1127:0, 1 + v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) :|: v1125:0 > 1 && v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1267:0 > 0 37.40/11.12 Filtered unneeded arguments: 37.40/11.12 f_490(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_490(x7, x9, x12) 37.40/11.12 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 37.40/11.12 f_490(v1125:0, sum~cons_1~v1127:0, v1127:0) -> f_490(v1125:0, 1 + (1 + v1127:0), 1 + v1127:0) :|: v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1125:0 > 1 && sum~cons_1~v1127:0 = 1 + v1127:0 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (16) 37.40/11.12 Obligation: 37.40/11.12 Rules: 37.40/11.12 f_490(v1125:0, sum~cons_1~v1127:0, v1127:0) -> f_490(v1125:0, 1 + (1 + v1127:0), 1 + v1127:0) :|: v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1125:0 > 1 && sum~cons_1~v1127:0 = 1 + v1127:0 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (17) IRS2T2 (EQUIVALENT) 37.40/11.12 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 37.40/11.12 37.40/11.12 (f_490_3,1) 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (18) 37.40/11.12 Obligation: 37.40/11.12 START: 0; 37.40/11.12 37.40/11.12 FROM: 0; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 FROM: 1; 37.40/11.12 oldX0 := x0; 37.40/11.12 oldX1 := x1; 37.40/11.12 oldX2 := x2; 37.40/11.12 assume(oldX0 >= 1 + oldX2 && oldX2 > 0 && oldX0 > 1 && oldX1 = 1 + oldX2); 37.40/11.12 x0 := oldX0; 37.40/11.12 x1 := 1 + (1 + oldX2); 37.40/11.12 x2 := 1 + oldX2; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (19) T2 (EQUIVALENT) 37.40/11.12 Initially, performed program simplifications using lexicographic rank functions: 37.40/11.12 * Removed transitions 1, 3, 4 using the following rank functions: 37.40/11.12 - Rank function 1: 37.40/11.12 RF for loc. 5: 1+2*x0-x1-x2 37.40/11.12 RF for loc. 6: 2*x0-x1-x2 37.40/11.12 Bound for (chained) transitions 3: 1 37.40/11.12 Bound for (chained) transitions 4: 1 37.40/11.12 - Rank function 2: 37.40/11.12 RF for loc. 5: 0 37.40/11.12 RF for loc. 6: -1 37.40/11.12 Bound for (chained) transitions 1: 0 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (20) 37.40/11.12 YES 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (21) 37.40/11.12 Obligation: 37.40/11.12 SCC 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (22) SCC2IRS (SOUND) 37.40/11.12 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 37.40/11.12 Generated rules. Obtained 18 rulesP rules: 37.40/11.12 f_427(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_429(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_429(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_432(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: v942 <= v936 && 2 <= v936 37.40/11.12 f_432(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_436(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_436(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_440(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_440(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_444(v930, v931, v932, v933, v934, v935, v936, 1, v942, v987, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_444(v930, v931, v932, v933, v934, v935, v936, 1, v942, v987, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_449(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: v987 = 0 37.40/11.12 f_449(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_453(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_453(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_457(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_457(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_461(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_461(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_465(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) :|: 1 + v1018 = v941 && 2 + v1018 <= 0 37.40/11.12 f_465(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) -> f_469(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_469(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) -> f_473(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_473(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) -> f_477(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0 37.40/11.12 f_477(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v943, v944, v945, v946, 3, 2, 4) -> f_481(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: v1114 = 1 + v942 && 3 <= v1114 37.40/11.12 f_481(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) -> f_485(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_485(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) -> f_489(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_489(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) -> f_425(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: TRUE 37.40/11.12 f_425(v930, v931, v932, v933, v934, v935, v936, 1, v938, 0, v940, v941, v942, v943, v944, v945, v946, 3, 2, 4) -> f_427(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0 37.40/11.12 Combined rules. Obtained 1 rulesP rules: 37.40/11.12 f_427(v930:0, v931:0, v932:0, v933:0, v934:0, v935:0, v936:0, 1, v942:0, 0, v940:0, 1 + v1018:0, v938:0, v943:0, v944:0, v945:0, v946:0, 3, 2, 4) -> f_427(v930:0, v931:0, v932:0, v933:0, v934:0, v935:0, v936:0, 1, 1 + v942:0, 0, 1 + v1018:0, v1018:0, v942:0, v943:0, v944:0, v945:0, v946:0, 3, 2, 4) :|: v936:0 > 1 && v942:0 <= v936:0 && v942:0 > 1 && v1018:0 < -1 37.40/11.12 Filtered unneeded arguments: 37.40/11.12 f_427(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_427(x7, x9, x12) 37.40/11.12 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 37.40/11.12 f_427(v936:0, v942:0, sum~cons_1~v1018:0) -> f_427(v936:0, 1 + v942:0, v1018:0) :|: v942:0 <= v936:0 && v936:0 > 1 && v1018:0 < -1 && v942:0 > 1 && sum~cons_1~v1018:0 = 1 + v1018:0 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (23) 37.40/11.12 Obligation: 37.40/11.12 Rules: 37.40/11.12 f_427(v936:0, v942:0, sum~cons_1~v1018:0) -> f_427(v936:0, 1 + v942:0, v1018:0) :|: v942:0 <= v936:0 && v936:0 > 1 && v1018:0 < -1 && v942:0 > 1 && sum~cons_1~v1018:0 = 1 + v1018:0 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (24) IRS2T2 (EQUIVALENT) 37.40/11.12 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 37.40/11.12 37.40/11.12 (f_427_3,1) 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (25) 37.40/11.12 Obligation: 37.40/11.12 START: 0; 37.40/11.12 37.40/11.12 FROM: 0; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 FROM: 1; 37.40/11.12 oldX0 := x0; 37.40/11.12 oldX1 := x1; 37.40/11.12 oldX2 := x2; 37.40/11.12 oldX3 := oldX2 - 1; 37.40/11.12 assume(oldX1 <= oldX0 && oldX0 > 1 && oldX3 < -1 && oldX1 > 1 && oldX2 = 1 + oldX3); 37.40/11.12 x0 := oldX0; 37.40/11.12 x1 := 1 + oldX1; 37.40/11.12 x2 := oldX2 - 1; 37.40/11.12 TO: 1; 37.40/11.12 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (26) T2 (EQUIVALENT) 37.40/11.12 Initially, performed program simplifications using lexicographic rank functions: 37.40/11.12 * Removed transitions 1, 3, 4 using the following rank functions: 37.40/11.12 - Rank function 1: 37.40/11.12 RF for loc. 5: 1+2*x0-2*x1 37.40/11.12 RF for loc. 6: 2*x0-2*x1 37.40/11.12 Bound for (chained) transitions 3: 0 37.40/11.12 Bound for (chained) transitions 4: 0 37.40/11.12 - Rank function 2: 37.40/11.12 RF for loc. 5: 1 37.40/11.12 RF for loc. 6: 0 37.40/11.12 Bound for (chained) transitions 1: 1 37.40/11.12 37.40/11.12 ---------------------------------------- 37.40/11.12 37.40/11.12 (27) 37.40/11.12 YES 37.40/11.16 EOF