32.77/9.55 YES 32.77/9.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 32.77/9.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 32.77/9.57 32.77/9.57 32.77/9.57 Termination of the given C Problem could be proven: 32.77/9.57 32.77/9.57 (0) C Problem 32.77/9.57 (1) CToLLVMProof [EQUIVALENT, 173 ms] 32.77/9.57 (2) LLVM problem 32.77/9.57 (3) LLVMToTerminationGraphProof [EQUIVALENT, 2003 ms] 32.77/9.57 (4) LLVM Symbolic Execution Graph 32.77/9.57 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 32.77/9.57 (6) AND 32.77/9.57 (7) LLVM Symbolic Execution SCC 32.77/9.57 (8) SCC2IRS [SOUND, 134 ms] 32.77/9.57 (9) IntTRS 32.77/9.57 (10) IRS2T2 [EQUIVALENT, 0 ms] 32.77/9.57 (11) T2IntSys 32.77/9.57 (12) T2 [EQUIVALENT, 1024 ms] 32.77/9.57 (13) YES 32.77/9.57 (14) LLVM Symbolic Execution SCC 32.77/9.57 (15) SCC2IRS [SOUND, 59 ms] 32.77/9.57 (16) IntTRS 32.77/9.57 (17) IRS2T2 [EQUIVALENT, 0 ms] 32.77/9.57 (18) T2IntSys 32.77/9.57 (19) T2 [EQUIVALENT, 755 ms] 32.77/9.57 (20) YES 32.77/9.57 (21) LLVM Symbolic Execution SCC 32.77/9.57 (22) SCC2IRS [SOUND, 91 ms] 32.77/9.57 (23) IntTRS 32.77/9.57 (24) IntTRSCompressionProof [EQUIVALENT, 0 ms] 32.77/9.57 (25) IntTRS 32.77/9.57 (26) RankingReductionPairProof [EQUIVALENT, 0 ms] 32.77/9.57 (27) YES 32.77/9.57 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (0) 32.77/9.57 Obligation: 32.77/9.57 c file /export/starexec/sandbox/benchmark/theBenchmark.c 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (1) CToLLVMProof (EQUIVALENT) 32.77/9.57 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (2) 32.77/9.57 Obligation: 32.77/9.57 LLVM Problem 32.77/9.57 32.77/9.57 Aliases: 32.77/9.57 32.77/9.57 Data layout: 32.77/9.57 32.77/9.57 "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" 32.77/9.57 32.77/9.57 Machine: 32.77/9.57 32.77/9.57 "x86_64-pc-linux-gnu" 32.77/9.57 32.77/9.57 Type definitions: 32.77/9.57 32.77/9.57 Global variables: 32.77/9.57 32.77/9.57 Function declarations and definitions: 32.77/9.57 32.77/9.57 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 32.77/9.57 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 32.77/9.57 0: 32.77/9.57 %1 = alloca i32, align 4 32.77/9.57 %x = alloca i32, align 4 32.77/9.57 %y = alloca i32, align 4 32.77/9.57 store 0, %1 32.77/9.57 %2 = call i32 @__VERIFIER_nondet_int() 32.77/9.57 store %2, %x 32.77/9.57 %3 = call i32 @__VERIFIER_nondet_int() 32.77/9.57 store %3, %y 32.77/9.57 br %4 32.77/9.57 4: 32.77/9.57 %5 = load %x 32.77/9.57 %6 = icmp sgt %5 0 32.77/9.57 br %6, %7, %10 32.77/9.57 7: 32.77/9.57 %8 = load %y 32.77/9.57 %9 = icmp sgt %8 0 32.77/9.57 br %10 32.77/9.57 10: 32.77/9.57 %11 = phi [0, %4], [%9, %7] 32.77/9.57 br %11, %12, %23 32.77/9.57 12: 32.77/9.57 %13 = call i32 @__VERIFIER_nondet_int() 32.77/9.57 %14 = icmp ne %13 0 32.77/9.57 br %14, %15, %18 32.77/9.57 15: 32.77/9.57 %16 = load %x 32.77/9.57 %17 = sub %16 1 32.77/9.57 store %17, %x 32.77/9.57 br %22 32.77/9.57 18: 32.77/9.57 %19 = call i32 @__VERIFIER_nondet_int() 32.77/9.57 store %19, %x 32.77/9.57 %20 = load %y 32.77/9.57 %21 = sub %20 1 32.77/9.57 store %21, %y 32.77/9.57 br %22 32.77/9.57 22: 32.77/9.57 br %4 32.77/9.57 23: 32.77/9.57 %24 = load %1 32.77/9.57 ret %24 32.77/9.57 32.77/9.57 32.77/9.57 Analyze Termination of all function calls matching the pattern: 32.77/9.57 main() 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (3) LLVMToTerminationGraphProof (EQUIVALENT) 32.77/9.57 Constructed symbolic execution graph for LLVM program and proved memory safety. 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (4) 32.77/9.57 Obligation: 32.77/9.57 SE Graph 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (5) SymbolicExecutionGraphToSCCProof (SOUND) 32.77/9.57 Splitted symbolic execution graph to 3 SCCs. 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (6) 32.77/9.57 Complex Obligation (AND) 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (7) 32.77/9.57 Obligation: 32.77/9.57 SCC 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (8) SCC2IRS (SOUND) 32.77/9.57 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 32.77/9.57 Generated rules. Obtained 49 rulesP rules: 32.77/9.57 f_493(v2255, v2256, v2257, v2258, v2259, v2260, 1, v2262, v2263, v2264, v2265, v2266, v2267, v2268, v2269, 0, 3, 2, 4) -> f_496(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_496(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_499(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 < v2266 && 2 <= v2260 && 2 <= v2264 32.77/9.57 f_499(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_503(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_503(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_507(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_507(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_512(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_512(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_516(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_516(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_520(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_520(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_523(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_523(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_526(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_526(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_529(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: v2685 != 0 32.77/9.57 f_526(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_530(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) :|: v2685 = 0 32.77/9.57 f_529(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_533(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_533(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_537(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_537(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_586(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2266, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_586(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3343, v3344, v3345, v3346, v3347, 0, 3, 2, 4) -> f_589(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3344, v3345, v3346, v3347, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_589(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3344, v3345, v3346, v3347, 0, 3, 2, 4) -> f_591(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: 1 + v3387 = v3337 && 0 <= v3387 32.77/9.57 f_591(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) -> f_593(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_593(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) -> f_595(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_595(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) -> f_491(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_491(v2255, v2256, v2257, v2258, v2259, v2260, 1, v2262, v2263, v2264, v2265, v2266, v2267, v2268, v2269, 0, 3, 2, 4) -> f_493(v2255, v2256, v2257, v2258, v2259, v2260, 1, v2262, v2263, v2264, v2265, v2266, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_530(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) -> f_534(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_534(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) -> f_538(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) :|: TRUE 32.77/9.57 f_538(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) -> f_588(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2266, v2267, v2268, v2269, 3, 2, 4) :|: TRUE 32.77/9.57 f_588(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3379, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_590(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE 32.77/9.57 f_590(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_592(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE 32.77/9.57 f_592(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_594(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_594(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_596(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: 1 + v3429 = v3377 && 0 <= v3429 32.77/9.57 f_596(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_597(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE 32.77/9.57 f_597(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_598(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE 32.77/9.57 f_598(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_559(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3381, v3382, v3386, v3429, v3383, v3384, v3385, 3, 2, 4) :|: TRUE 32.77/9.57 f_559(v2918, v2919, v2920, v2921, v2922, v2923, 1, v2925, 0, v2927, v2928, v2929, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_560(v2918, v2919, v2920, v2921, v2922, v2923, 1, v2925, 0, v2927, v2928, v2929, v2930, v2931, v2932, v2933, 3, 2, 4) :|: TRUE 32.77/9.57 f_560(v2918, v2919, v2920, v2921, v2922, v2923, 1, v2925, 0, v2927, v2928, v2929, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_561(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_561(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_562(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: 0 < v2929 32.77/9.57 f_562(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_564(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_564(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_566(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: TRUE 32.77/9.57 f_566(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_568(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_568(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_570(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 < v2930 && 2 <= v2925 && 2 <= v2922 32.77/9.57 f_570(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_573(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_573(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_575(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_575(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_577(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: TRUE 32.77/9.57 f_577(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_579(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: TRUE 32.77/9.57 f_579(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_581(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: v3310 != 0 32.77/9.57 f_579(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_582(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: v3310 = 0 32.77/9.57 f_581(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_583(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_583(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) -> f_585(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_585(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) -> f_586(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2929, v2925, v2927, v2928, v2931, v2932, v2933, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_582(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_584(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_584(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_587(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: TRUE 32.77/9.57 f_587(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_588(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2929, v2925, v2927, v2928, v2931, v2932, v2933, 3, 2, 4) :|: TRUE 32.77/9.57 Combined rules. Obtained 6 rulesP rules: 32.77/9.57 f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 1, v2262:0, v2263:0, v2264:0, v2265:0, 1 + v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) -> f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, 1 + v3387:0, 1, v2262:0, v2685:0, v2264:0, v2265:0, v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) :|: v2260:0 > 1 && v3387:0 > -1 && v2264:0 > 1 && v2685:0 < 0 32.77/9.57 f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 1, v2262:0, v2263:0, v2264:0, v2265:0, 1 + v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) -> f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, 1 + v3387:0, 1, v2262:0, v2685:0, v2264:0, v2265:0, v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) :|: v2260:0 > 1 && v3387:0 > -1 && v2264:0 > 1 && v2685:0 > 0 32.77/9.57 f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 0, v2927:0, v2928:0, v2925:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) -> f_493(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 1 + v3387:0, v2925:0, v3387:0, v2931:0, v2932:0, v2933:0, 0, 3, 2, 4) :|: v3310:0 < 0 && v3387:0 > -1 32.77/9.57 f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 0, v2927:0, v2928:0, v2925:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) -> f_493(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 1 + v3387:0, v2925:0, v3387:0, v2931:0, v2932:0, v2933:0, 0, 3, 2, 4) :|: v3310:0 > 0 && v3387:0 > -1 32.77/9.57 f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, v2929:0, 1, 1 + v3429:0, 0, 0, v2927:0, v2928:0, v2925:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) -> f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, v3386:0, 1, v3429:0, v3310:1, 0, v2927:0, v2928:0, 1 + v3429:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) :|: v3429:0 > 0 && v3386:0 > 0 && v2922:0 > 1 32.77/9.57 f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 1, 1 + v3429:0, v2263:0, v2264:0, v2265:0, v2266:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) -> f_579(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v3386:0, 1, v3429:0, v3310:0, 0, v2260:0, v2266:0, 1 + v3429:0, v2267:0, v2268:0, v2269:0, 3, 2, 4) :|: v3429:0 > 0 && v2260:0 > 1 && v2266:0 > 0 && v2264:0 > 1 && v3386:0 > 0 && v2259:0 > 1 32.77/9.57 Filtered unneeded arguments: 32.77/9.57 f_493(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_493(x5, x6, x8, x10, x12) 32.77/9.57 f_579(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_579(x5, x6, x8, x9) 32.77/9.57 Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules: 32.77/9.57 f_493(v2259:0, v2260:0, v2262:0, v2264:0, sum~cons_1~v3387:0) -> f_493(v2259:0, 1 + v3387:0, v2262:0, v2264:0, v3387:0) :|: v3387:0 > -1 && v2264:0 > 1 && v2260:0 > 1 && sum~cons_1~v3387:0 = 1 + v3387:0 32.77/9.57 f_579(v2922:0, sum~cons_1~v3387:0, v2930:0, v3310:0) -> f_493(v2922:0, 1 + v3387:0, v2930:0, 1 + v3387:0, v3387:0) :|: v3310:0 < 0 && v3387:0 > -1 && sum~cons_1~v3387:0 = 1 + v3387:0 32.77/9.57 f_579(v2922:0, sum~cons_1~v3387:0, v2930:0, v3310:0) -> f_493(v2922:0, 1 + v3387:0, v2930:0, 1 + v3387:0, v3387:0) :|: v3310:0 > 0 && v3387:0 > -1 && sum~cons_1~v3387:0 = 1 + v3387:0 32.77/9.57 f_579(v2922:0, v2929:0, sum~cons_1~v3429:0, cons_0) -> f_579(v2922:0, v3386:0, v3429:0, v3310:1) :|: v3386:0 > 0 && v2922:0 > 1 && v3429:0 > 0 && sum~cons_1~v3429:0 = 1 + v3429:0 && cons_0 = 0 32.77/9.57 f_493(v2259:0, v2260:0, sum~cons_1~v3429:0, v2264:0, v2266:0) -> f_579(v2259:0, v3386:0, v3429:0, v3310:0) :|: v2260:0 > 1 && v3429:0 > 0 && v2266:0 > 0 && v2264:0 > 1 && v2259:0 > 1 && v3386:0 > 0 && sum~cons_1~v3429:0 = 1 + v3429:0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (9) 32.77/9.57 Obligation: 32.77/9.57 Rules: 32.77/9.57 f_493(v2259:0, v2260:0, v2262:0, v2264:0, sum~cons_1~v3387:0) -> f_493(v2259:0, 1 + v3387:0, v2262:0, v2264:0, v3387:0) :|: v3387:0 > -1 && v2264:0 > 1 && v2260:0 > 1 && sum~cons_1~v3387:0 = 1 + v3387:0 32.77/9.57 f_579(x, x1, x2, x3) -> f_493(x, 1 + x4, x2, 1 + x4, x4) :|: x3 < 0 && x4 > -1 && x1 = 1 + x4 32.77/9.57 f_579(x5, x6, x7, x8) -> f_493(x5, 1 + x9, x7, 1 + x9, x9) :|: x8 > 0 && x9 > -1 && x6 = 1 + x9 32.77/9.57 f_579(v2922:0, v2929:0, sum~cons_1~v3429:0, cons_0) -> f_579(v2922:0, v3386:0, v3429:0, v3310:1) :|: v3386:0 > 0 && v2922:0 > 1 && v3429:0 > 0 && sum~cons_1~v3429:0 = 1 + v3429:0 && cons_0 = 0 32.77/9.57 f_493(x10, x11, x12, x13, x14) -> f_579(x10, x15, x16, x17) :|: x11 > 1 && x16 > 0 && x14 > 0 && x13 > 1 && x10 > 1 && x15 > 0 && x12 = 1 + x16 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (10) IRS2T2 (EQUIVALENT) 32.77/9.57 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 32.77/9.57 32.77/9.57 (f_493_5,1) 32.77/9.57 (f_579_5,2) 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (11) 32.77/9.57 Obligation: 32.77/9.57 START: 0; 32.77/9.57 32.77/9.57 FROM: 0; 32.77/9.57 TO: 1; 32.77/9.57 32.77/9.57 FROM: 0; 32.77/9.57 TO: 2; 32.77/9.57 32.77/9.57 FROM: 1; 32.77/9.57 oldX0 := x0; 32.77/9.57 oldX1 := x1; 32.77/9.57 oldX2 := x2; 32.77/9.57 oldX3 := x3; 32.77/9.57 oldX4 := x4; 32.77/9.57 oldX5 := oldX4 - 1; 32.77/9.57 assume(oldX5 > -1 && oldX3 > 1 && oldX1 > 1 && oldX4 = 1 + oldX5); 32.77/9.57 x0 := oldX0; 32.77/9.57 x1 := 1 + oldX5; 32.77/9.57 x2 := oldX2; 32.77/9.57 x3 := oldX3; 32.77/9.57 x4 := oldX4 - 1; 32.77/9.57 TO: 1; 32.77/9.57 32.77/9.57 FROM: 2; 32.77/9.57 oldX0 := x0; 32.77/9.57 oldX1 := x1; 32.77/9.57 oldX2 := x2; 32.77/9.57 oldX3 := x3; 32.77/9.57 oldX4 := x4; 32.77/9.57 oldX5 := oldX1 - 1; 32.77/9.57 assume(oldX3 < 0 && oldX5 > -1 && oldX1 = 1 + oldX5); 32.77/9.57 x0 := oldX0; 32.77/9.57 x1 := 1 + oldX5; 32.77/9.57 x2 := oldX2; 32.77/9.57 x3 := 1 + oldX5; 32.77/9.57 x4 := oldX1 - 1; 32.77/9.57 TO: 1; 32.77/9.57 32.77/9.57 FROM: 2; 32.77/9.57 oldX0 := x0; 32.77/9.57 oldX1 := x1; 32.77/9.57 oldX2 := x2; 32.77/9.57 oldX3 := x3; 32.77/9.57 oldX4 := x4; 32.77/9.57 oldX5 := oldX1 - 1; 32.77/9.57 assume(oldX3 > 0 && oldX5 > -1 && oldX1 = 1 + oldX5); 32.77/9.57 x0 := oldX0; 32.77/9.57 x1 := 1 + oldX5; 32.77/9.57 x2 := oldX2; 32.77/9.57 x3 := 1 + oldX5; 32.77/9.57 x4 := oldX1 - 1; 32.77/9.57 TO: 1; 32.77/9.57 32.77/9.57 FROM: 2; 32.77/9.57 oldX0 := x0; 32.77/9.57 oldX1 := x1; 32.77/9.57 oldX2 := x2; 32.77/9.57 oldX3 := x3; 32.77/9.57 oldX4 := x4; 32.77/9.57 oldX6 := oldX2 - 1; 32.77/9.57 oldX5 := nondet(); 32.77/9.57 oldX7 := nondet(); 32.77/9.57 oldX8 := nondet(); 32.77/9.57 assume(oldX5 > 0 && oldX0 > 1 && oldX6 > 0 && oldX2 = 1 + oldX6 && oldX3 = 0); 32.77/9.57 x0 := oldX0; 32.77/9.57 x1 := oldX5; 32.77/9.57 x2 := oldX2 - 1; 32.77/9.57 x3 := oldX7; 32.77/9.57 x4 := oldX8; 32.77/9.57 TO: 2; 32.77/9.57 32.77/9.57 FROM: 1; 32.77/9.57 oldX0 := x0; 32.77/9.57 oldX1 := x1; 32.77/9.57 oldX2 := x2; 32.77/9.57 oldX3 := x3; 32.77/9.57 oldX4 := x4; 32.77/9.57 oldX6 := oldX2 - 1; 32.77/9.57 oldX5 := nondet(); 32.77/9.57 oldX7 := nondet(); 32.77/9.57 oldX8 := nondet(); 32.77/9.57 assume(oldX1 > 1 && oldX6 > 0 && oldX4 > 0 && oldX3 > 1 && oldX0 > 1 && oldX5 > 0 && oldX2 = 1 + oldX6); 32.77/9.57 x0 := oldX0; 32.77/9.57 x1 := oldX5; 32.77/9.57 x2 := oldX2 - 1; 32.77/9.57 x3 := oldX7; 32.77/9.57 x4 := oldX8; 32.77/9.57 TO: 2; 32.77/9.57 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (12) T2 (EQUIVALENT) 32.77/9.57 Initially, performed program simplifications using lexicographic rank functions: 32.77/9.57 * Removed transitions 2, 5, 6, 14, 17, 18, 19 using the following rank functions: 32.77/9.57 - Rank function 1: 32.77/9.57 RF for loc. 6: 2*x2 32.77/9.57 RF for loc. 7: 1+2*x2 32.77/9.57 RF for loc. 8: 2*x2 32.77/9.57 RF for loc. 12: 2*x2 32.77/9.57 Bound for (chained) transitions 6: 4 32.77/9.57 Bound for (chained) transitions 19: 4 32.77/9.57 - Rank function 2: 32.77/9.57 RF for loc. 6: -2*x3+2*x4 32.77/9.57 RF for loc. 7: 0 32.77/9.57 RF for loc. 8: -1-2*x3+2*x4 32.77/9.57 RF for loc. 12: -1 32.77/9.57 Bound for (chained) transitions 14: 0 32.77/9.57 Bound for (chained) transitions 17: -1 32.77/9.57 Bound for (chained) transitions 18: -1 32.77/9.57 - Rank function 3: 32.77/9.57 RF for loc. 6: 2*x4 32.77/9.57 RF for loc. 8: -1+2*x4 32.77/9.57 Bound for (chained) transitions 5: 1 32.77/9.57 - Rank function 4: 32.77/9.57 RF for loc. 6: 0 32.77/9.57 RF for loc. 8: -1 32.77/9.57 Bound for (chained) transitions 2: 0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (13) 32.77/9.57 YES 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (14) 32.77/9.57 Obligation: 32.77/9.57 SCC 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (15) SCC2IRS (SOUND) 32.77/9.57 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 32.77/9.57 Generated rules. Obtained 21 rulesP rules: 32.77/9.57 f_302(v588, v589, v590, v591, v592, v593, 1, v595, 0, v597, v598, v599, v600, v601, 3, 4) -> f_304(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: 0 = 0 32.77/9.57 f_304(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_307(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: 0 < v597 32.77/9.57 f_307(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_311(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: 0 = 0 32.77/9.57 f_311(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_315(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: TRUE 32.77/9.57 f_315(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_319(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 4) :|: 0 = 0 32.77/9.57 f_319(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 4) -> f_323(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 < v598 && 2 <= v595 && 2 <= v592 32.77/9.57 f_323(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_328(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_328(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_332(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_332(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_336(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: TRUE 32.77/9.57 f_336(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_339(v588, v589, v590, v591, v592, v597, 1, v598, v770, 0, v595, v599, v600, v601, 3, 2, 4) :|: TRUE 32.77/9.57 f_339(v588, v589, v590, v591, v592, v597, 1, v598, v770, 0, v595, v599, v600, v601, 3, 2, 4) -> f_343(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: v770 = 0 32.77/9.57 f_343(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_346(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_346(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_350(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: TRUE 32.77/9.57 f_350(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_354(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) :|: TRUE 32.77/9.57 f_354(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) -> f_358(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) :|: TRUE 32.77/9.57 f_358(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) -> f_362(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v599, v600, v601, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_362(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v599, v600, v601, 3, 2, 4) -> f_367(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) :|: 1 + v919 = v598 && 0 <= v919 32.77/9.57 f_367(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) -> f_371(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) :|: TRUE 32.77/9.57 f_371(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) -> f_375(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) :|: TRUE 32.77/9.57 f_375(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) -> f_300(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 4) :|: TRUE 32.77/9.57 f_300(v588, v589, v590, v591, v592, v593, 1, v595, 0, v597, v598, v599, v600, v601, 3, 4) -> f_302(v588, v589, v590, v591, v592, v593, 1, v595, 0, v597, v598, v599, v600, v601, 3, 4) :|: TRUE 32.77/9.57 Combined rules. Obtained 1 rulesP rules: 32.77/9.57 f_302(v588:0, v589:0, v590:0, v591:0, v592:0, v593:0, 1, v595:0, 0, v597:0, 1 + v919:0, v599:0, v600:0, v601:0, 3, 4) -> f_302(v588:0, v589:0, v590:0, v591:0, v592:0, v597:0, 1, 1 + v919:0, 0, v796:0, v919:0, v599:0, v600:0, v601:0, 3, 4) :|: v597:0 > 0 && v595:0 > 1 && v919:0 > -1 && v592:0 > 1 32.77/9.57 Filtered unneeded arguments: 32.77/9.57 f_302(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_302(x5, x8, x10, x11) 32.77/9.57 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 32.77/9.57 f_302(v592:0, v595:0, v597:0, sum~cons_1~v919:0) -> f_302(v592:0, 1 + v919:0, v796:0, v919:0) :|: v595:0 > 1 && v597:0 > 0 && v592:0 > 1 && v919:0 > -1 && sum~cons_1~v919:0 = 1 + v919:0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (16) 32.77/9.57 Obligation: 32.77/9.57 Rules: 32.77/9.57 f_302(v592:0, v595:0, v597:0, sum~cons_1~v919:0) -> f_302(v592:0, 1 + v919:0, v796:0, v919:0) :|: v595:0 > 1 && v597:0 > 0 && v592:0 > 1 && v919:0 > -1 && sum~cons_1~v919:0 = 1 + v919:0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (17) IRS2T2 (EQUIVALENT) 32.77/9.57 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 32.77/9.57 32.77/9.57 (f_302_4,1) 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (18) 32.77/9.57 Obligation: 32.77/9.57 START: 0; 32.77/9.57 32.77/9.57 FROM: 0; 32.77/9.57 TO: 1; 32.77/9.57 32.77/9.57 FROM: 1; 32.77/9.57 oldX0 := x0; 32.77/9.57 oldX1 := x1; 32.77/9.57 oldX2 := x2; 32.77/9.57 oldX3 := x3; 32.77/9.57 oldX4 := oldX3 - 1; 32.77/9.57 oldX5 := nondet(); 32.77/9.57 assume(oldX1 > 1 && oldX2 > 0 && oldX0 > 1 && oldX4 > -1 && oldX3 = 1 + oldX4); 32.77/9.57 x0 := oldX0; 32.77/9.57 x1 := 1 + oldX4; 32.77/9.57 x2 := oldX5; 32.77/9.57 x3 := oldX3 - 1; 32.77/9.57 TO: 1; 32.77/9.57 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (19) T2 (EQUIVALENT) 32.77/9.57 Initially, performed program simplifications using lexicographic rank functions: 32.77/9.57 * Removed transitions 1, 3, 4 using the following rank functions: 32.77/9.57 - Rank function 1: 32.77/9.57 RF for loc. 5: 1+2*x3 32.77/9.57 RF for loc. 6: 2*x3 32.77/9.57 Bound for (chained) transitions 3: 2 32.77/9.57 Bound for (chained) transitions 4: 2 32.77/9.57 - Rank function 2: 32.77/9.57 RF for loc. 5: 0 32.77/9.57 RF for loc. 6: -1 32.77/9.57 Bound for (chained) transitions 1: 0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (20) 32.77/9.57 YES 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (21) 32.77/9.57 Obligation: 32.77/9.57 SCC 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (22) SCC2IRS (SOUND) 32.77/9.57 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 32.77/9.57 Generated rules. Obtained 18 rulesP rules: 32.77/9.57 f_274(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 4) -> f_277(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 < v461 && 2 <= v458 && 2 <= v456 32.77/9.57 f_277(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_281(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_281(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_285(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_285(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_289(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_289(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_293(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_293(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_297(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_297(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_301(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_301(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_303(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_303(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_305(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: v619 != 0 32.77/9.57 f_305(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_309(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_309(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_313(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_313(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_317(v453, v454, v455, v456, v457, v461, 1, v619, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 32.77/9.57 f_317(v453, v454, v455, v456, v457, v461, 1, v619, v462, v463, v464, 0, 3, 2, 4) -> f_321(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: 1 + v650 = v461 && 0 <= v650 32.77/9.57 f_321(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_326(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_326(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_330(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_330(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_334(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 32.77/9.57 f_334(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_271(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 4) :|: TRUE 32.77/9.57 f_271(v453, v454, v455, v456, v457, v458, 1, v460, v461, v462, v463, v464, 0, 3, 4) -> f_274(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 4) :|: 0 = 0 32.77/9.57 Combined rules. Obtained 2 rulesP rules: 32.77/9.57 f_274(v453:0, v454:0, v455:0, v456:0, v457:0, 1 + v650:0, 1, v460:0, v458:0, v462:0, v463:0, v464:0, 0, 3, 4) -> f_274(v453:0, v454:0, v455:0, v456:0, v457:0, v650:0, 1, v619:0, 1 + v650:0, v462:0, v463:0, v464:0, 0, 3, 4) :|: v458:0 > 1 && v650:0 > -1 && v456:0 > 1 && v619:0 < 0 32.77/9.57 f_274(v453:0, v454:0, v455:0, v456:0, v457:0, 1 + v650:0, 1, v460:0, v458:0, v462:0, v463:0, v464:0, 0, 3, 4) -> f_274(v453:0, v454:0, v455:0, v456:0, v457:0, v650:0, 1, v619:0, 1 + v650:0, v462:0, v463:0, v464:0, 0, 3, 4) :|: v458:0 > 1 && v650:0 > -1 && v456:0 > 1 && v619:0 > 0 32.77/9.57 Filtered unneeded arguments: 32.77/9.57 f_274(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_274(x4, x6, x9) 32.77/9.57 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 32.77/9.57 f_274(v456:0, sum~cons_1~v650:0, v458:0) -> f_274(v456:0, v650:0, 1 + v650:0) :|: v650:0 > -1 && v456:0 > 1 && v458:0 > 1 && sum~cons_1~v650:0 = 1 + v650:0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (23) 32.77/9.57 Obligation: 32.77/9.57 Rules: 32.77/9.57 f_274(v456:0, sum~cons_1~v650:0, v458:0) -> f_274(v456:0, v650:0, 1 + v650:0) :|: v650:0 > -1 && v456:0 > 1 && v458:0 > 1 && sum~cons_1~v650:0 = 1 + v650:0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (24) IntTRSCompressionProof (EQUIVALENT) 32.77/9.57 Compressed rules. 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (25) 32.77/9.57 Obligation: 32.77/9.57 Rules: 32.77/9.57 f_274(v456:0:0, sum~cons_1~v650:0:0, v458:0:0) -> f_274(v456:0:0, v650:0:0, 1 + v650:0:0) :|: v650:0:0 > -1 && v456:0:0 > 1 && v458:0:0 > 1 && sum~cons_1~v650:0:0 = 1 + v650:0:0 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (26) RankingReductionPairProof (EQUIVALENT) 32.77/9.57 Interpretation: 32.77/9.57 [ f_274 ] = f_274_2 32.77/9.57 32.77/9.57 The following rules are decreasing: 32.77/9.57 f_274(v456:0:0, sum~cons_1~v650:0:0, v458:0:0) -> f_274(v456:0:0, v650:0:0, 1 + v650:0:0) :|: v650:0:0 > -1 && v456:0:0 > 1 && v458:0:0 > 1 && sum~cons_1~v650:0:0 = 1 + v650:0:0 32.77/9.57 32.77/9.57 The following rules are bounded: 32.77/9.57 f_274(v456:0:0, sum~cons_1~v650:0:0, v458:0:0) -> f_274(v456:0:0, v650:0:0, 1 + v650:0:0) :|: v650:0:0 > -1 && v456:0:0 > 1 && v458:0:0 > 1 && sum~cons_1~v650:0:0 = 1 + v650:0:0 32.77/9.57 32.77/9.57 32.77/9.57 ---------------------------------------- 32.77/9.57 32.77/9.57 (27) 32.77/9.57 YES 33.04/9.61 EOF