/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 176 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 3901 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) AND (7) LLVM Symbolic Execution SCC (8) SCC2IRS [SOUND, 140 ms] (9) IntTRS (10) IntTRSCompressionProof [EQUIVALENT, 0 ms] (11) IntTRS (12) RankingReductionPairProof [EQUIVALENT, 5 ms] (13) YES (14) LLVM Symbolic Execution SCC (15) SCC2IRS [SOUND, 102 ms] (16) IntTRS (17) IntTRSCompressionProof [EQUIVALENT, 1 ms] (18) IntTRS (19) RankingReductionPairProof [EQUIVALENT, 9 ms] (20) YES (21) LLVM Symbolic Execution SCC (22) SCC2IRS [SOUND, 88 ms] (23) IntTRS (24) IRS2T2 [EQUIVALENT, 0 ms] (25) T2IntSys (26) T2 [EQUIVALENT, 433 ms] (27) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox2/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: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %x = alloca *i32, align 8 %y = alloca *i32, align 8 %z = alloca *i32, align 8 store 0, %1 %2 = alloca i8, numElementsLit: 4 %3 = bitcast *i8 %2 to *i32 store %3, %x %4 = alloca i8, numElementsLit: 4 %5 = bitcast *i8 %4 to *i32 store %5, %y %6 = alloca i8, numElementsLit: 4 %7 = bitcast *i8 %6 to *i32 store %7, %z %8 = call i32 @__VERIFIER_nondet_int() %9 = load %x store %8, %9 %10 = call i32 @__VERIFIER_nondet_int() %11 = load %y store %10, %11 %12 = call i32 @__VERIFIER_nondet_int() %13 = load %z store %12, %13 br %14 14: %15 = load %x %16 = load %15 %17 = icmp sgt %16 0 br %17, %18, %26 18: %19 = load %y %20 = load %19 %21 = icmp sgt %20 0 br %21, %22, %26 22: %23 = load %z %24 = load %23 %25 = icmp sgt %24 0 br %26 26: %27 = phi [0, %18], [0, %14], [%25, %22] br %27, %28, %56 28: %29 = load %y %30 = load %29 %31 = load %x %32 = load %31 %33 = icmp sgt %30 %32 br %33, %34, %44 34: %35 = load %z %36 = load %35 %37 = load %y store %36, %37 %38 = call i32 @__VERIFIER_nondet_int() %39 = load %x store %38, %39 %40 = load %x %41 = load %40 %42 = sub %41 1 %43 = load %z store %42, %43 br %55 44: %45 = load %z %46 = load %45 %47 = sub %46 1 %48 = load %z store %47, %48 %49 = call i32 @__VERIFIER_nondet_int() %50 = load %x store %49, %50 %51 = load %x %52 = load %51 %53 = sub %52 1 %54 = load %y store %53, %54 br %55 55: br %14 56: 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 3 SCCs. ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: SCC ---------------------------------------- (8) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 38 rulesP rules: f_684(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4037, 1, v4039, v4040, 0, v4042, v4043, v4044, v4045, v4046, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_685(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4037, 1, v4039, v4040, 0, v4042, v4043, v4044, v4045, v4046, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_685(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4037, 1, v4039, v4040, 0, v4042, v4043, v4044, v4045, v4046, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_686(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_686(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_687(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 < v4046 && 0 <= v4047 f_687(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_689(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_689(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_691(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_691(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_693(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_693(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4039, v4040, v4037, 0, v4042, v4043, v4044, v4045, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_695(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_695(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_696(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 < v4047 && 2 <= v4046 f_696(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_698(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_698(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_700(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_700(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_702(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_702(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4040, v4039, v4037, 0, v4042, v4043, v4044, v4045, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_704(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_704(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_705(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 < v4045 && 2 <= v4040 && 2 <= v4044 && 3 <= v4043 f_705(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_707(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_707(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_709(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_709(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_711(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_711(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_713(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_713(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4039, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_714(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_714(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_715(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_715(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, v4037, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_716(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_716(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_717(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_717(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_718(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_718(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_719(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_719(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4040, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_720(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_720(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_721(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 1 + v4932 = v4045 && 0 <= v4932 f_721(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_722(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_722(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_723(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_723(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_724(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_724(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_725(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_725(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_726(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_726(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_727(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_727(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_728(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_728(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_729(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 1 + v4936 = v4934 f_729(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_730(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: 0 = 0 f_730(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_731(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_731(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_732(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_732(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_683(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4046, 1, v4047, v4045, 0, v4042, v4043, v4044, v4932, v4934, v4936, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE f_683(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4037, 1, v4039, v4040, 0, v4042, v4043, v4044, v4045, v4046, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) -> f_684(v4027, v4028, v4029, v4030, v4031, v4032, v4033, v4034, v4035, v4036, v4037, 1, v4039, v4040, 0, v4042, v4043, v4044, v4045, v4046, v4047, v4048, v4049, v4050, v4051, v4052, v4053, v4054, 3, 7, 2, 4, 8) :|: TRUE Combined rules. Obtained 1 rulesP rules: f_684(v4027:0, v4028:0, v4029:0, v4030:0, v4031:0, v4032:0, v4033:0, v4034:0, v4035:0, v4036:0, v4037:0, 1, v4039:0, v4040:0, 0, v4042:0, v4043:0, v4044:0, 1 + v4932:0, v4046:0, v4047:0, v4048:0, v4049:0, v4050:0, v4051:0, v4052:0, v4053:0, v4054:0, 3, 7, 2, 4, 8) -> f_684(v4027:0, v4028:0, v4029:0, v4030:0, v4031:0, v4032:0, v4033:0, v4034:0, v4035:0, v4036:0, v4046:0, 1, v4047:0, 1 + v4932:0, 0, v4042:0, v4043:0, v4044:0, v4932:0, 1 + v4936:0, v4936:0, v4048:0, v4049:0, v4050:0, v4051:0, v4052:0, v4053:0, v4054:0, 3, 7, 2, 4, 8) :|: v4046:0 > 1 && v4047:0 > 0 && v4040:0 > 1 && v4932:0 > -1 && v4044:0 > 1 && v4043:0 > 2 Filtered unneeded arguments: f_684(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) -> f_684(x14, x17, x18, x19, x20, x21) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_684(v4040:0, v4043:0, v4044:0, sum~cons_1~v4932:0, v4046:0, v4047:0) -> f_684(1 + v4932:0, v4043:0, v4044:0, v4932:0, 1 + v4936:0, v4936:0) :|: v4047:0 > 0 && v4046:0 > 1 && v4040:0 > 1 && v4932:0 > -1 && v4043:0 > 2 && v4044:0 > 1 && sum~cons_1~v4932:0 = 1 + v4932:0 ---------------------------------------- (9) Obligation: Rules: f_684(v4040:0, v4043:0, v4044:0, sum~cons_1~v4932:0, v4046:0, v4047:0) -> f_684(1 + v4932:0, v4043:0, v4044:0, v4932:0, 1 + v4936:0, v4936:0) :|: v4047:0 > 0 && v4046:0 > 1 && v4040:0 > 1 && v4932:0 > -1 && v4043:0 > 2 && v4044:0 > 1 && sum~cons_1~v4932:0 = 1 + v4932:0 ---------------------------------------- (10) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (11) Obligation: Rules: f_684(v4040:0:0, v4043:0:0, v4044:0:0, sum~cons_1~v4932:0:0, v4046:0:0, v4047:0:0) -> f_684(1 + v4932:0:0, v4043:0:0, v4044:0:0, v4932:0:0, 1 + v4936:0:0, v4936:0:0) :|: v4043:0:0 > 2 && v4044:0:0 > 1 && v4932:0:0 > -1 && v4040:0:0 > 1 && v4046:0:0 > 1 && v4047:0:0 > 0 && sum~cons_1~v4932:0:0 = 1 + v4932:0:0 ---------------------------------------- (12) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f_684 ] = f_684_4 The following rules are decreasing: f_684(v4040:0:0, v4043:0:0, v4044:0:0, sum~cons_1~v4932:0:0, v4046:0:0, v4047:0:0) -> f_684(1 + v4932:0:0, v4043:0:0, v4044:0:0, v4932:0:0, 1 + v4936:0:0, v4936:0:0) :|: v4043:0:0 > 2 && v4044:0:0 > 1 && v4932:0:0 > -1 && v4040:0:0 > 1 && v4046:0:0 > 1 && v4047:0:0 > 0 && sum~cons_1~v4932:0:0 = 1 + v4932:0:0 The following rules are bounded: f_684(v4040:0:0, v4043:0:0, v4044:0:0, sum~cons_1~v4932:0:0, v4046:0:0, v4047:0:0) -> f_684(1 + v4932:0:0, v4043:0:0, v4044:0:0, v4932:0:0, 1 + v4936:0:0, v4936:0:0) :|: v4043:0:0 > 2 && v4044:0:0 > 1 && v4932:0:0 > -1 && v4040:0:0 > 1 && v4046:0:0 > 1 && v4047:0:0 > 0 && sum~cons_1~v4932:0:0 = 1 + v4932:0:0 ---------------------------------------- (13) YES ---------------------------------------- (14) Obligation: SCC ---------------------------------------- (15) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 38 rulesP rules: f_538(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1655, 1, v1657, v1658, 0, v1660, v1661, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_541(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1655, 1, v1657, v1658, 0, v1660, v1661, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: 0 = 0 f_541(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1655, 1, v1657, v1658, 0, v1660, v1661, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_544(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: 0 = 0 f_544(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_547(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: 0 < v1661 && 0 <= v1662 f_547(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_551(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: 0 = 0 f_551(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_554(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: TRUE f_554(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_558(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: 0 = 0 f_558(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1657, v1658, v1655, 0, v1660, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_562(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: 0 = 0 f_562(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_565(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 < v1662 && 2 <= v1661 f_565(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_569(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_569(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_572(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_572(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_576(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_576(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1658, v1657, v1655, 0, v1660, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_580(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_580(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_583(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 < v1660 && 2 <= v1658 && 2 <= v1654 f_583(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_587(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_587(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_590(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_590(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_593(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_593(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_596(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_596(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1657, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_598(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_598(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_600(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_600(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, v1655, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_602(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_602(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_604(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_604(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_606(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_606(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_608(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_608(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1658, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_610(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_610(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_612(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 1 + v2995 = v1660 && 0 <= v2995 f_612(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_614(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_614(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_616(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_616(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_618(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_618(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_620(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_620(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_622(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_622(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_624(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_624(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_626(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_626(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_628(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 1 + v3003 = v2999 f_628(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_631(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: 0 = 0 f_631(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_633(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_633(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_635(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) :|: TRUE f_635(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 2, 4, 8) -> f_536(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1661, 1, v1662, v1660, 0, v2995, v2999, v3003, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: TRUE f_536(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1655, 1, v1657, v1658, 0, v1660, v1661, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) -> f_538(v1645, v1646, v1647, v1648, v1649, v1650, v1651, v1652, v1653, v1654, v1655, 1, v1657, v1658, 0, v1660, v1661, v1662, v1663, v1664, v1665, v1666, v1667, v1668, v1669, 3, 7, 4, 8) :|: TRUE Combined rules. Obtained 1 rulesP rules: f_538(v1645:0, v1646:0, v1647:0, v1648:0, v1649:0, v1650:0, v1651:0, v1652:0, v1653:0, v1654:0, v1655:0, 1, v1657:0, v1658:0, 0, 1 + v2995:0, v1661:0, v1662:0, v1663:0, v1664:0, v1665:0, v1666:0, v1667:0, v1668:0, v1669:0, 3, 7, 4, 8) -> f_538(v1645:0, v1646:0, v1647:0, v1648:0, v1649:0, v1650:0, v1651:0, v1652:0, v1653:0, v1654:0, v1661:0, 1, v1662:0, 1 + v2995:0, 0, v2995:0, 1 + v3003:0, v3003:0, v1663:0, v1664:0, v1665:0, v1666:0, v1667:0, v1668:0, v1669:0, 3, 7, 4, 8) :|: v1661:0 > 1 && v1662:0 > 0 && v1658:0 > 1 && v2995:0 > -1 && v1654:0 > 1 Filtered unneeded arguments: f_538(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) -> f_538(x10, x14, x16, x17, x18) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_538(v1654:0, v1658:0, sum~cons_1~v2995:0, v1661:0, v1662:0) -> f_538(v1654:0, 1 + v2995:0, v2995:0, 1 + v3003:0, v3003:0) :|: v1662:0 > 0 && v1661:0 > 1 && v1658:0 > 1 && v1654:0 > 1 && v2995:0 > -1 && sum~cons_1~v2995:0 = 1 + v2995:0 ---------------------------------------- (16) Obligation: Rules: f_538(v1654:0, v1658:0, sum~cons_1~v2995:0, v1661:0, v1662:0) -> f_538(v1654:0, 1 + v2995:0, v2995:0, 1 + v3003:0, v3003:0) :|: v1662:0 > 0 && v1661:0 > 1 && v1658:0 > 1 && v1654:0 > 1 && v2995:0 > -1 && sum~cons_1~v2995:0 = 1 + v2995:0 ---------------------------------------- (17) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (18) Obligation: Rules: f_538(v1654:0:0, v1658:0:0, sum~cons_1~v2995:0:0, v1661:0:0, v1662:0:0) -> f_538(v1654:0:0, 1 + v2995:0:0, v2995:0:0, 1 + v3003:0:0, v3003:0:0) :|: v1654:0:0 > 1 && v2995:0:0 > -1 && v1658:0:0 > 1 && v1661:0:0 > 1 && v1662:0:0 > 0 && sum~cons_1~v2995:0:0 = 1 + v2995:0:0 ---------------------------------------- (19) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f_538 ] = f_538_3 The following rules are decreasing: f_538(v1654:0:0, v1658:0:0, sum~cons_1~v2995:0:0, v1661:0:0, v1662:0:0) -> f_538(v1654:0:0, 1 + v2995:0:0, v2995:0:0, 1 + v3003:0:0, v3003:0:0) :|: v1654:0:0 > 1 && v2995:0:0 > -1 && v1658:0:0 > 1 && v1661:0:0 > 1 && v1662:0:0 > 0 && sum~cons_1~v2995:0:0 = 1 + v2995:0:0 The following rules are bounded: f_538(v1654:0:0, v1658:0:0, sum~cons_1~v2995:0:0, v1661:0:0, v1662:0:0) -> f_538(v1654:0:0, 1 + v2995:0:0, v2995:0:0, 1 + v3003:0:0, v3003:0:0) :|: v1654:0:0 > 1 && v2995:0:0 > -1 && v1658:0:0 > 1 && v1661:0:0 > 1 && v1662:0:0 > 0 && sum~cons_1~v2995:0:0 = 1 + v2995:0:0 ---------------------------------------- (20) YES ---------------------------------------- (21) Obligation: SCC ---------------------------------------- (22) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 37 rulesP rules: f_422(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v852, 1, v854, v855, v856, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_425(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_425(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_427(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 < v856 && 0 <= v857 f_427(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_430(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_430(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_433(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_433(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_437(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_437(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v854, v855, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_441(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_441(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_444(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_444(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_447(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_447(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_449(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_449(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v854, v852, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_452(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_452(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_455(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 < v857 && 2 <= v856 f_455(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_459(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_459(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_463(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_463(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_466(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_466(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_470(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_470(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v854, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_473(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_473(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_476(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_476(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v852, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_479(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_479(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_481(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: v856 < v855 && 3 <= v855 f_481(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_484(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_484(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_487(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_487(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_490(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_490(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_493(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_493(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_496(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_496(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_499(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_499(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_502(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_502(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_505(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_505(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_508(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_508(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_511(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_511(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_514(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_514(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_517(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 1 + v1522 = v1514 f_517(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_520(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_520(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_523(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_523(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_526(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_526(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_529(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_529(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_420(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v856, 1, v855, v857, v1514, v1522, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: TRUE f_420(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v852, 1, v854, v855, v856, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) -> f_422(v842, v843, v844, v845, v846, v847, v848, v849, v850, v851, v852, 1, v854, v855, v856, v857, v858, v859, v860, v861, v862, v863, v864, 0, 3, 7, 2, 4, 8) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_422(v842:0, v843:0, v844:0, v845:0, v846:0, v847:0, v848:0, v849:0, v850:0, v851:0, v852:0, 1, v854:0, v855:0, v856:0, v857:0, v858:0, v859:0, v860:0, v861:0, v862:0, v863:0, v864:0, 0, 3, 7, 2, 4, 8) -> f_422(v842:0, v843:0, v844:0, v845:0, v846:0, v847:0, v848:0, v849:0, v850:0, v851:0, v856:0, 1, v855:0, v857:0, 1 + v1522:0, v1522:0, v858:0, v859:0, v860:0, v861:0, v862:0, v863:0, v864:0, 0, 3, 7, 2, 4, 8) :|: v856:0 > 1 && v857:0 > 0 && v856:0 < v855:0 && v855:0 > 2 Filtered unneeded arguments: f_422(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) -> f_422(x14, x15, x16) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_422(v855:0, v856:0, v857:0) -> f_422(v857:0, 1 + v1522:0, v1522:0) :|: v857:0 > 0 && v856:0 > 1 && v855:0 > 2 && v856:0 < v855:0 ---------------------------------------- (23) Obligation: Rules: f_422(v855:0, v856:0, v857:0) -> f_422(v857:0, 1 + v1522:0, v1522:0) :|: v857:0 > 0 && v856:0 > 1 && v855:0 > 2 && v856:0 < v855:0 ---------------------------------------- (24) IRS2T2 (EQUIVALENT) Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: (f_422_3,1) ---------------------------------------- (25) Obligation: START: 0; FROM: 0; TO: 1; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); assume(oldX2 > 0 && oldX1 > 1 && oldX0 > 2 && oldX1 < oldX0); x0 := oldX2; x1 := 1 + oldX3; x2 := oldX3; TO: 1; ---------------------------------------- (26) T2 (EQUIVALENT) Initially, performed program simplifications using lexicographic rank functions: * Removed transitions 1, 3, 4 using the following rank functions: - Rank function 1: RF for loc. 5: 2+2*x0-2*x1+2*x2 RF for loc. 6: 2*x0-2*x1+2*x2 Bound for (chained) transitions 3: 4 - Rank function 2: RF for loc. 5: 2+2*x0-2*x1+2*x2 RF for loc. 6: 2*x0-2*x1+2*x2 Bound for (chained) transitions 4: 4 - Rank function 3: RF for loc. 5: 0 RF for loc. 6: -1 Bound for (chained) transitions 1: 0 ---------------------------------------- (27) YES