29.10/9.40 YES 29.23/9.44 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 29.23/9.44 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 29.23/9.44 29.23/9.44 29.23/9.44 Termination of the given C Problem could be proven: 29.23/9.44 29.23/9.44 (0) C Problem 29.23/9.44 (1) CToLLVMProof [EQUIVALENT, 171 ms] 29.23/9.44 (2) LLVM problem 29.23/9.44 (3) LLVMToTerminationGraphProof [EQUIVALENT, 5567 ms] 29.23/9.44 (4) LLVM Symbolic Execution Graph 29.23/9.44 (5) SymbolicExecutionGraphToSCCProof [SOUND, 4 ms] 29.23/9.44 (6) LLVM Symbolic Execution SCC 29.23/9.44 (7) SCC2IRS [SOUND, 95 ms] 29.23/9.44 (8) IntTRS 29.23/9.44 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 29.23/9.44 (10) IntTRS 29.23/9.44 (11) RankingReductionPairProof [EQUIVALENT, 26 ms] 29.23/9.44 (12) YES 29.23/9.44 29.23/9.44 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (0) 29.23/9.44 Obligation: 29.23/9.44 c file /export/starexec/sandbox/benchmark/theBenchmark.c 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (1) CToLLVMProof (EQUIVALENT) 29.23/9.44 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (2) 29.23/9.44 Obligation: 29.23/9.44 LLVM Problem 29.23/9.44 29.23/9.44 Aliases: 29.23/9.44 29.23/9.44 Data layout: 29.23/9.44 29.23/9.44 "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" 29.23/9.44 29.23/9.44 Machine: 29.23/9.44 29.23/9.44 "x86_64-pc-linux-gnu" 29.23/9.44 29.23/9.44 Type definitions: 29.23/9.44 29.23/9.44 Global variables: 29.23/9.44 29.23/9.44 Function declarations and definitions: 29.23/9.44 29.23/9.44 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 29.23/9.44 *BasicFunctionTypename: "cmemset" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: (dst *i8, c i32, n i64) variableLength: false visibilityType: DEFAULT callingConvention: ccc 29.23/9.44 0: 29.23/9.44 %1 = alloca *i8, align 8 29.23/9.44 %2 = alloca i32, align 4 29.23/9.44 %3 = alloca i64, align 8 29.23/9.44 %d = alloca *i8, align 8 29.23/9.44 store %dst, %1 29.23/9.44 store %c, %2 29.23/9.44 store %n, %3 29.23/9.44 %4 = load %3 29.23/9.44 %5 = icmp ne %4 0 29.23/9.44 br %5, %6, %18 29.23/9.44 6: 29.23/9.44 %7 = load %1 29.23/9.44 store %7, %d 29.23/9.44 br %8 29.23/9.44 8: 29.23/9.44 %9 = load %2 29.23/9.44 %10 = trunc i32 %9 to i8 29.23/9.44 %11 = load %d 29.23/9.44 %12 = getelementptr %11, 1 29.23/9.44 store %12, %d 29.23/9.44 store %10, %11 29.23/9.44 br %13 29.23/9.44 13: 29.23/9.44 %14 = load %3 29.23/9.44 %15 = add %14 -1 29.23/9.44 store %15, %3 29.23/9.44 %16 = icmp ne %15 0 29.23/9.44 br %16, %8, %17 29.23/9.44 17: 29.23/9.44 br %18 29.23/9.44 18: 29.23/9.44 %19 = load %1 29.23/9.44 ret %19 29.23/9.44 29.23/9.44 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 29.23/9.44 0: 29.23/9.44 %1 = alloca i32, align 4 29.23/9.44 %length = alloca i32, align 4 29.23/9.44 %n = alloca i32, align 4 29.23/9.44 %c = alloca i32, align 4 29.23/9.44 %nondetArea = alloca *i8, align 8 29.23/9.44 store 0, %1 29.23/9.44 %2 = call i32 @__VERIFIER_nondet_int() 29.23/9.44 store %2, %length 29.23/9.44 %3 = call i32 @__VERIFIER_nondet_int() 29.23/9.44 store %3, %n 29.23/9.44 %4 = call i32 @__VERIFIER_nondet_int() 29.23/9.44 store %4, %c 29.23/9.44 %5 = load %length 29.23/9.44 %6 = icmp slt %5 1 29.23/9.44 br %6, %7, %8 29.23/9.44 7: 29.23/9.44 store 1, %length 29.23/9.44 br %8 29.23/9.44 8: 29.23/9.44 %9 = load %n 29.23/9.44 %10 = icmp slt %9 1 29.23/9.44 br %10, %11, %12 29.23/9.44 11: 29.23/9.44 store 1, %n 29.23/9.44 br %12 29.23/9.44 12: 29.23/9.44 %13 = load %n 29.23/9.44 %14 = sext i32 %13 to i64 29.23/9.44 %15 = mul %14 1 29.23/9.44 %16 = alloca i8, numElementsLit: %15 29.23/9.44 store %16, %nondetArea 29.23/9.44 %17 = load %nondetArea 29.23/9.44 %18 = load %c 29.23/9.44 %19 = load %n 29.23/9.44 %20 = sext i32 %19 to i64 29.23/9.44 %21 = call *i8 @cmemset(*i8 %17, i32 %18, i64 %20) 29.23/9.44 ret 0 29.23/9.44 29.23/9.44 29.23/9.44 Analyze Termination of all function calls matching the pattern: 29.23/9.44 main() 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (3) LLVMToTerminationGraphProof (EQUIVALENT) 29.23/9.44 Constructed symbolic execution graph for LLVM program and proved memory safety. 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (4) 29.23/9.44 Obligation: 29.23/9.44 SE Graph 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (5) SymbolicExecutionGraphToSCCProof (SOUND) 29.23/9.44 Splitted symbolic execution graph to 1 SCC. 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (6) 29.23/9.44 Obligation: 29.23/9.44 SCC 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (7) SCC2IRS (SOUND) 29.23/9.44 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 29.23/9.44 Generated rules. Obtained 15 rulesP rules: 29.23/9.44 f_447(v798, v799, v800, v801, v802, v803, v804, 1, v806, v807, v808, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_449(v798, v799, v800, v801, v802, v803, v804, 1, v849, v807, v808, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_449(v798, v799, v800, v801, v802, v803, v804, 1, v849, v807, v808, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_451(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) :|: 0 = 0 29.23/9.44 f_451(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_453(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) :|: v850 = 1 + v808 && 4 <= v850 29.23/9.44 f_453(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_454(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_454(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_455(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_455(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_456(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_456(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v807, v806, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_457(v798, v799, v800, v801, v802, v803, v804, 1, v849, v808, v850, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, 0, v832, v954, v957, v941, v942, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_457(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v934, v935, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) -> f_458(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) :|: 0 = 0 29.23/9.44 f_458(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) -> f_459(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) :|: 1 + v958 = v935 && 0 <= v958 29.23/9.44 f_459(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) -> f_460(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_460(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) -> f_461(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) :|: v958 != 0 && 2 <= v935 && 3 <= v949 && 3 <= v925 29.23/9.44 f_461(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) -> f_463(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) :|: 0 = 0 29.23/9.44 f_463(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) -> f_465(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_465(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, 0, v956, v954, v957, v941, v942, 3, 7, 2, 4, 8) -> f_445(v923, v924, v925, v926, v927, v928, v929, 1, v931, v932, v933, v935, v958, v936, v944, v937, v945, v938, v946, v939, v947, v940, v948, v949, v950, v951, v952, v953, v955, v829, v831, 0, v956, v816, v817, 3, 7, 2, 4, 8) :|: TRUE 29.23/9.44 f_445(v798, v799, v800, v801, v802, v803, v804, 1, v806, v807, v808, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) -> f_447(v798, v799, v800, v801, v802, v803, v804, 1, v806, v807, v808, v809, v810, v811, v819, v812, v820, v813, v821, v814, v822, v815, v823, v824, v825, v826, v827, v828, v830, v829, v831, 0, v832, v816, v817, 3, 7, 2, 4, 8) :|: 0 = 0 29.23/9.44 Combined rules. Obtained 1 rulesP rules: 29.23/9.44 f_447(v798:0, v799:0, v800:0, v801:0, v802:0, v803:0, v804:0, 1, v806:0, v807:0, v808:0, v809:0, 1 + v958:0, v811:0, v819:0, v812:0, v820:0, v813:0, v821:0, v814:0, v822:0, v815:0, v823:0, v824:0, v825:0, v826:0, v827:0, v828:0, v830:0, v829:0, v831:0, 0, v832:0, v816:0, v817:0, 3, 7, 2, 4, 8) -> f_447(v798:0, v799:0, v800:0, v801:0, v802:0, v803:0, v804:0, 1, v849:0, v808:0, 1 + v808:0, 1 + v958:0, v958:0, v811:0, v819:0, v812:0, v820:0, v813:0, v821:0, v814:0, v822:0, v815:0, v823:0, v824:0, v825:0, v826:0, v827:0, v828:0, v830:0, v829:1, v831:1, 0, v832:0, v816:1, v817:1, 3, 7, 2, 4, 8) :|: v958:0 > 0 && v808:0 > 2 && v800:0 > 2 && v824:0 > 2 29.23/9.44 Filtered unneeded arguments: 29.23/9.44 f_447(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37, x38, x39, x40) -> f_447(x3, x11, x13, x24) 29.23/9.44 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 29.23/9.44 f_447(v800:0, v808:0, sum~cons_1~v958:0, v824:0) -> f_447(v800:0, 1 + v808:0, v958:0, v824:0) :|: v808:0 > 2 && v958:0 > 0 && v824:0 > 2 && v800:0 > 2 && sum~cons_1~v958:0 = 1 + v958:0 29.23/9.44 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (8) 29.23/9.44 Obligation: 29.23/9.44 Rules: 29.23/9.44 f_447(v800:0, v808:0, sum~cons_1~v958:0, v824:0) -> f_447(v800:0, 1 + v808:0, v958:0, v824:0) :|: v808:0 > 2 && v958:0 > 0 && v824:0 > 2 && v800:0 > 2 && sum~cons_1~v958:0 = 1 + v958:0 29.23/9.44 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (9) IntTRSCompressionProof (EQUIVALENT) 29.23/9.44 Compressed rules. 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (10) 29.23/9.44 Obligation: 29.23/9.44 Rules: 29.23/9.44 f_447(v800:0:0, v808:0:0, sum~cons_1~v958:0:0, v824:0:0) -> f_447(v800:0:0, 1 + v808:0:0, v958:0:0, v824:0:0) :|: v824:0:0 > 2 && v800:0:0 > 2 && v958:0:0 > 0 && v808:0:0 > 2 && sum~cons_1~v958:0:0 = 1 + v958:0:0 29.23/9.44 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (11) RankingReductionPairProof (EQUIVALENT) 29.23/9.44 Interpretation: 29.23/9.44 [ f_447 ] = f_447_3 29.23/9.44 29.23/9.44 The following rules are decreasing: 29.23/9.44 f_447(v800:0:0, v808:0:0, sum~cons_1~v958:0:0, v824:0:0) -> f_447(v800:0:0, 1 + v808:0:0, v958:0:0, v824:0:0) :|: v824:0:0 > 2 && v800:0:0 > 2 && v958:0:0 > 0 && v808:0:0 > 2 && sum~cons_1~v958:0:0 = 1 + v958:0:0 29.23/9.44 29.23/9.44 The following rules are bounded: 29.23/9.44 f_447(v800:0:0, v808:0:0, sum~cons_1~v958:0:0, v824:0:0) -> f_447(v800:0:0, 1 + v808:0:0, v958:0:0, v824:0:0) :|: v824:0:0 > 2 && v800:0:0 > 2 && v958:0:0 > 0 && v808:0:0 > 2 && sum~cons_1~v958:0:0 = 1 + v958:0:0 29.23/9.44 29.23/9.44 29.23/9.44 ---------------------------------------- 29.23/9.44 29.23/9.44 (12) 29.23/9.44 YES 29.39/9.53 EOF