/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.c # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 156 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 6998 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 99 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) PolynomialOrderProcessor [EQUIVALENT, 15 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. ---------------------------------------- (2) Obligation: LLVM Problem Aliases: Data layout: "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" Machine: "x86_64-pc-linux-gnu" Type definitions: Global variables: Function declarations and definitions: *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc *BasicFunctionTypename: "cmemset" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: (dst *i8, c i32, n i64) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca *i8, align 8 %2 = alloca i32, align 4 %3 = alloca i64, align 8 %d = alloca *i8, align 8 store %dst, %1 store %c, %2 store %n, %3 %4 = load %3 %5 = icmp ne %4 0 br %5, %6, %18 6: %7 = load %1 store %7, %d br %8 8: %9 = load %2 %10 = trunc i32 %9 to i8 %11 = load %d %12 = getelementptr %11, 1 store %12, %d store %10, %11 br %13 13: %14 = load %3 %15 = add %14 -1 store %15, %3 %16 = icmp ne %15 0 br %16, %8, %17 17: br %18 18: %19 = load %1 ret %19 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %length = alloca i32, align 4 %n = alloca i32, align 4 %c = alloca i32, align 4 %nondetArea = alloca *i8, align 8 store 0, %1 %2 = call i32 @__VERIFIER_nondet_int() store %2, %length %3 = call i32 @__VERIFIER_nondet_int() store %3, %n %4 = call i32 @__VERIFIER_nondet_int() store %4, %c %5 = load %length %6 = icmp slt %5 1 br %6, %7, %8 7: store 1, %length br %8 8: %9 = load %n %10 = icmp slt %9 1 br %10, %11, %12 11: store 1, %n br %12 12: %13 = load %n %14 = sext i32 %13 to i64 %15 = mul %14 1 %16 = alloca i8, numElementsLit: %15 store %16, %nondetArea %17 = load %nondetArea %18 = load %c %19 = load %n %20 = sext i32 %19 to i64 %21 = call *i8 @cmemset(*i8 %17, i32 %18, i64 %20) ret 0 Analyze Termination of all function calls matching the pattern: main() ---------------------------------------- (3) LLVMToTerminationGraphProof (EQUIVALENT) Constructed symbolic execution graph for LLVM program and proved memory safety. ---------------------------------------- (4) Obligation: SE Graph ---------------------------------------- (5) SymbolicExecutionGraphToSCCProof (SOUND) Splitted symbolic execution graph to 1 SCC. ---------------------------------------- (6) Obligation: SCC ---------------------------------------- (7) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 15 rulesP rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Combined rules. Obtained 1 rulesP rules: 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 Filtered unneeded arguments: 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) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 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 ---------------------------------------- (8) Obligation: Rules: 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 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (10) Obligation: Rules: 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 ---------------------------------------- (11) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_447(x, x1, x2, x3)] = -2 + x2 The following rules are decreasing: 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 The following rules are bounded: 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 ---------------------------------------- (12) YES