25.81/8.25 YES 25.81/8.26 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 25.81/8.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.81/8.26 25.81/8.26 25.81/8.26 Termination of the given C Problem could be proven: 25.81/8.26 25.81/8.26 (0) C Problem 25.81/8.26 (1) CToLLVMProof [EQUIVALENT, 174 ms] 25.81/8.26 (2) LLVM problem 25.81/8.26 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3094 ms] 25.81/8.26 (4) LLVM Symbolic Execution Graph 25.81/8.26 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 25.81/8.26 (6) AND 25.81/8.26 (7) LLVM Symbolic Execution SCC 25.81/8.26 (8) SCC2IRS [SOUND, 66 ms] 25.81/8.26 (9) IntTRS 25.81/8.26 (10) IntTRSCompressionProof [EQUIVALENT, 0 ms] 25.81/8.26 (11) IntTRS 25.81/8.26 (12) RankingReductionPairProof [EQUIVALENT, 22 ms] 25.81/8.26 (13) YES 25.81/8.26 (14) LLVM Symbolic Execution SCC 25.81/8.26 (15) SCC2IRS [SOUND, 75 ms] 25.81/8.26 (16) IntTRS 25.81/8.26 (17) IRS2T2 [EQUIVALENT, 0 ms] 25.81/8.26 (18) T2IntSys 25.81/8.26 (19) T2 [EQUIVALENT, 924 ms] 25.81/8.26 (20) YES 25.81/8.26 (21) LLVM Symbolic Execution SCC 25.81/8.26 (22) SCC2IRS [SOUND, 62 ms] 25.81/8.26 (23) IntTRS 25.81/8.26 (24) IRS2T2 [EQUIVALENT, 0 ms] 25.81/8.26 (25) T2IntSys 25.81/8.26 (26) T2 [EQUIVALENT, 883 ms] 25.81/8.26 (27) YES 25.81/8.26 25.81/8.26 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (0) 25.81/8.26 Obligation: 25.81/8.26 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (1) CToLLVMProof (EQUIVALENT) 25.81/8.26 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (2) 25.81/8.26 Obligation: 25.81/8.26 LLVM Problem 25.81/8.26 25.81/8.26 Aliases: 25.81/8.26 25.81/8.26 Data layout: 25.81/8.26 25.81/8.26 "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" 25.81/8.26 25.81/8.26 Machine: 25.81/8.26 25.81/8.26 "x86_64-pc-linux-gnu" 25.81/8.26 25.81/8.26 Type definitions: 25.81/8.26 25.81/8.26 Global variables: 25.81/8.26 25.81/8.26 Function declarations and definitions: 25.81/8.26 25.81/8.26 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.81/8.26 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.81/8.26 0: 25.81/8.26 %1 = alloca i32, align 4 25.81/8.26 %2 = alloca i32, align 4 25.81/8.26 %3 = alloca i32, align 4 25.81/8.26 %c = alloca i32, align 4 25.81/8.26 store %x, %1 25.81/8.26 store %y, %2 25.81/8.26 store %z, %3 25.81/8.26 store 0, %c 25.81/8.26 br %4 25.81/8.26 4: 25.81/8.26 %5 = load %1 25.81/8.26 %6 = load %3 25.81/8.26 %7 = icmp sgt %5 %6 25.81/8.26 br %7, %12, %8 25.81/8.26 8: 25.81/8.26 %9 = load %2 25.81/8.26 %10 = load %3 25.81/8.26 %11 = icmp sgt %9 %10 25.81/8.26 br %12 25.81/8.26 12: 25.81/8.26 %13 = phi [1, %4], [%11, %8] 25.81/8.26 br %13, %14, %33 25.81/8.26 14: 25.81/8.26 %15 = load %1 25.81/8.26 %16 = load %3 25.81/8.26 %17 = icmp sgt %15 %16 25.81/8.26 br %17, %18, %21 25.81/8.26 18: 25.81/8.26 %19 = load %1 25.81/8.26 %20 = sub %19 1 25.81/8.26 store %20, %1 25.81/8.26 br %30 25.81/8.26 21: 25.81/8.26 %22 = load %2 25.81/8.26 %23 = load %3 25.81/8.26 %24 = icmp sgt %22 %23 25.81/8.26 br %24, %25, %28 25.81/8.26 25: 25.81/8.26 %26 = load %2 25.81/8.26 %27 = sub %26 1 25.81/8.26 store %27, %2 25.81/8.26 br %29 25.81/8.26 28: 25.81/8.26 br %29 25.81/8.26 29: 25.81/8.26 br %30 25.81/8.26 30: 25.81/8.26 %31 = load %c 25.81/8.26 %32 = add %31 1 25.81/8.26 store %32, %c 25.81/8.26 br %4 25.81/8.26 33: 25.81/8.26 %34 = load %c 25.81/8.26 ret %34 25.81/8.26 25.81/8.26 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.81/8.26 0: 25.81/8.26 %1 = alloca i32, align 4 25.81/8.26 store 0, %1 25.81/8.26 %2 = call i32 @__VERIFIER_nondet_int() 25.81/8.26 %3 = call i32 @__VERIFIER_nondet_int() 25.81/8.26 %4 = call i32 @__VERIFIER_nondet_int() 25.81/8.26 %5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4) 25.81/8.26 ret %5 25.81/8.26 25.81/8.26 25.81/8.26 Analyze Termination of all function calls matching the pattern: 25.81/8.26 main() 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (3) LLVMToTerminationGraphProof (EQUIVALENT) 25.81/8.26 Constructed symbolic execution graph for LLVM program and proved memory safety. 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (4) 25.81/8.26 Obligation: 25.81/8.26 SE Graph 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (5) SymbolicExecutionGraphToSCCProof (SOUND) 25.81/8.26 Splitted symbolic execution graph to 3 SCCs. 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (6) 25.81/8.26 Complex Obligation (AND) 25.81/8.26 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (7) 25.81/8.26 Obligation: 25.81/8.26 SCC 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (8) SCC2IRS (SOUND) 25.81/8.26 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.81/8.26 Generated rules. Obtained 28 rulesP rules: 25.81/8.26 f_731(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2681, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) -> f_733(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) :|: 0 = 0 25.81/8.26 f_733(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) -> f_735(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: v2740 = 1 + v2682 && 2 <= v2740 25.81/8.26 f_735(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_737(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_737(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_739(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_739(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_741(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_741(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_742(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_742(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_743(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_743(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_744(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_744(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_745(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_745(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_746(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_746(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_747(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: v2673 < v2684 25.81/8.26 f_747(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_749(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_749(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_751(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_751(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_753(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_753(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_755(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_755(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_757(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_757(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_759(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_759(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_760(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_760(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_761(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_761(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_762(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_762(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_763(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_763(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_764(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_764(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_765(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0 25.81/8.26 f_765(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_766(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 1 + v3029 = v2684 25.81/8.26 f_766(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_767(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_767(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_768(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE 25.81/8.26 f_768(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_729(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) :|: TRUE 25.81/8.26 f_729(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2681, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) -> f_731(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2681, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) :|: TRUE 25.81/8.26 Combined rules. Obtained 1 rulesP rules: 25.81/8.26 f_731(v2671:0, v2672:0, v2673:0, v2674:0, v2675:0, v2676:0, v2677:0, 0, 1, v2680:0, v2681:0, v2682:0, v2683:0, 1 + v3029:0, v2685:0, v2686:0, v2687:0, v2688:0, v2689:0, v2690:0, 3, 4) -> f_731(v2671:0, v2672:0, v2673:0, v2674:0, v2675:0, v2676:0, v2677:0, 0, 1, v2680:0, v2682:0, 1 + v2682:0, 1 + v3029:0, v3029:0, v2685:0, v2686:0, v2687:0, v2688:0, v2689:0, v2690:0, 3, 4) :|: v2673:0 < 1 + v3029:0 && v2682:0 > 0 25.81/8.26 Filtered unneeded arguments: 25.81/8.26 f_731(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_731(x3, x12, x14) 25.81/8.26 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 25.81/8.26 f_731(v2673:0, v2682:0, sum~cons_1~v3029:0) -> f_731(v2673:0, 1 + v2682:0, v3029:0) :|: v2673:0 < 1 + v3029:0 && v2682:0 > 0 && sum~cons_1~v3029:0 = 1 + v3029:0 25.81/8.26 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (9) 25.81/8.26 Obligation: 25.81/8.26 Rules: 25.81/8.26 f_731(v2673:0, v2682:0, sum~cons_1~v3029:0) -> f_731(v2673:0, 1 + v2682:0, v3029:0) :|: v2673:0 < 1 + v3029:0 && v2682:0 > 0 && sum~cons_1~v3029:0 = 1 + v3029:0 25.81/8.26 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (10) IntTRSCompressionProof (EQUIVALENT) 25.81/8.26 Compressed rules. 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (11) 25.81/8.26 Obligation: 25.81/8.26 Rules: 25.81/8.26 f_731(v2673:0:0, v2682:0:0, sum~cons_1~v3029:0:0) -> f_731(v2673:0:0, 1 + v2682:0:0, v3029:0:0) :|: v2673:0:0 < 1 + v3029:0:0 && v2682:0:0 > 0 && sum~cons_1~v3029:0:0 = 1 + v3029:0:0 25.81/8.26 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (12) RankingReductionPairProof (EQUIVALENT) 25.81/8.26 Interpretation: 25.81/8.26 [ f_731 ] = -1*f_731_1 + f_731_3 25.81/8.26 25.81/8.26 The following rules are decreasing: 25.81/8.26 f_731(v2673:0:0, v2682:0:0, sum~cons_1~v3029:0:0) -> f_731(v2673:0:0, 1 + v2682:0:0, v3029:0:0) :|: v2673:0:0 < 1 + v3029:0:0 && v2682:0:0 > 0 && sum~cons_1~v3029:0:0 = 1 + v3029:0:0 25.81/8.26 25.81/8.26 The following rules are bounded: 25.81/8.26 f_731(v2673:0:0, v2682:0:0, sum~cons_1~v3029:0:0) -> f_731(v2673:0:0, 1 + v2682:0:0, v3029:0:0) :|: v2673:0:0 < 1 + v3029:0:0 && v2682:0:0 > 0 && sum~cons_1~v3029:0:0 = 1 + v3029:0:0 25.81/8.26 25.81/8.26 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (13) 25.81/8.26 YES 25.81/8.26 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (14) 25.81/8.26 Obligation: 25.81/8.26 SCC 25.81/8.26 ---------------------------------------- 25.81/8.26 25.81/8.26 (15) SCC2IRS (SOUND) 25.81/8.26 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.81/8.26 Generated rules. Obtained 28 rulesP rules: 25.81/8.26 f_675(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_677(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_677(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_679(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_679(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_681(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.26 f_681(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_683(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_683(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_685(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_685(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_688(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: v2256 < v2264 25.81/8.26 f_688(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_692(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_692(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_696(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_696(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_700(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.26 f_700(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_704(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_704(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_708(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_708(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_711(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.26 f_711(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_713(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.27 f_713(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_715(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.27 f_715(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_717(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.27 f_717(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_719(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.27 f_719(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_721(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.27 f_721(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_723(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.27 f_723(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_725(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 1 + v2668 = v2264 25.81/8.27 f_725(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_727(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.27 f_727(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_730(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.27 f_730(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_732(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.27 f_732(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_734(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.27 f_734(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_736(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) :|: v2741 = 1 + v2266 && 2 <= v2741 25.81/8.27 f_736(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) -> f_738(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) :|: TRUE 25.81/8.27 f_738(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) -> f_740(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) :|: TRUE 25.81/8.27 f_740(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) -> f_673(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE 25.81/8.27 f_673(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_675(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0 25.81/8.27 Combined rules. Obtained 1 rulesP rules: 25.81/8.27 f_675(v2254:0, v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 0, v2262:0, 1, 1 + v2668:0, v2265:0, v2266:0, v2267:0, v2268:0, v2269:0, v2270:0, v2271:0, v2272:0, 3, 4) -> f_675(v2254:0, v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 0, 1 + v2668:0, 1, v2668:0, v2266:0, 1 + v2266:0, v2267:0, v2268:0, v2269:0, v2270:0, v2271:0, v2272:0, 3, 4) :|: v2266:0 > 0 && v2256:0 < 1 + v2668:0 25.81/8.27 Filtered unneeded arguments: 25.81/8.27 f_675(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_675(x3, x11, x13) 25.81/8.27 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 25.81/8.27 f_675(v2256:0, sum~cons_1~v2668:0, v2266:0) -> f_675(v2256:0, v2668:0, 1 + v2266:0) :|: v2266:0 > 0 && v2256:0 < 1 + v2668:0 && sum~cons_1~v2668:0 = 1 + v2668:0 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (16) 25.81/8.27 Obligation: 25.81/8.27 Rules: 25.81/8.27 f_675(v2256:0, sum~cons_1~v2668:0, v2266:0) -> f_675(v2256:0, v2668:0, 1 + v2266:0) :|: v2266:0 > 0 && v2256:0 < 1 + v2668:0 && sum~cons_1~v2668:0 = 1 + v2668:0 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (17) IRS2T2 (EQUIVALENT) 25.81/8.27 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 25.81/8.27 25.81/8.27 (f_675_3,1) 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (18) 25.81/8.27 Obligation: 25.81/8.27 START: 0; 25.81/8.27 25.81/8.27 FROM: 0; 25.81/8.27 TO: 1; 25.81/8.27 25.81/8.27 FROM: 1; 25.81/8.27 oldX0 := x0; 25.81/8.27 oldX1 := x1; 25.81/8.27 oldX2 := x2; 25.81/8.27 oldX3 := oldX1 - 1; 25.81/8.27 assume(oldX2 > 0 && oldX0 < 1 + oldX3 && oldX1 = 1 + oldX3); 25.81/8.27 x0 := oldX0; 25.81/8.27 x1 := oldX1 - 1; 25.81/8.27 x2 := 1 + oldX2; 25.81/8.27 TO: 1; 25.81/8.27 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (19) T2 (EQUIVALENT) 25.81/8.27 Initially, performed program simplifications using lexicographic rank functions: 25.81/8.27 * Removed transitions 1, 3, 4 using the following rank functions: 25.81/8.27 - Rank function 1: 25.81/8.27 RF for loc. 5: -x0+x1 25.81/8.27 RF for loc. 6: -x0+x1 25.81/8.27 Bound for (chained) transitions 3: 1 25.81/8.27 - Rank function 2: 25.81/8.27 RF for loc. 5: 1-2*x0+2*x1 25.81/8.27 RF for loc. 6: -2*x0+2*x1 25.81/8.27 Bound for (chained) transitions 4: 2 25.81/8.27 - Rank function 3: 25.81/8.27 RF for loc. 5: 0 25.81/8.27 RF for loc. 6: -1 25.81/8.27 Bound for (chained) transitions 1: 0 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (20) 25.81/8.27 YES 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (21) 25.81/8.27 Obligation: 25.81/8.27 SCC 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (22) SCC2IRS (SOUND) 25.81/8.27 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.81/8.27 Generated rules. Obtained 19 rulesP rules: 25.81/8.27 f_520(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_523(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_523(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_525(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: v1308 < v1315 25.81/8.27 f_525(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_528(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_528(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_531(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_531(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_534(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE 25.81/8.27 f_534(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_537(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_537(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_540(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_540(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_545(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_545(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_550(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE 25.81/8.27 f_550(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_555(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_555(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_560(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 1 + v1583 = v1315 25.81/8.27 f_560(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_565(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE 25.81/8.27 f_565(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_570(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE 25.81/8.27 f_570(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_573(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 f_573(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_576(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) :|: v1601 = 1 + v1317 && 2 <= v1601 25.81/8.27 f_576(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) -> f_579(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) :|: TRUE 25.81/8.27 f_579(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) -> f_582(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) :|: TRUE 25.81/8.27 f_582(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) -> f_518(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE 25.81/8.27 f_518(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1313, 1, v1315, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_520(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0 25.81/8.27 Combined rules. Obtained 1 rulesP rules: 25.81/8.27 f_520(v1306:0, v1307:0, v1308:0, v1309:0, v1310:0, v1311:0, v1312:0, 1 + v1583:0, 1, v1313:0, v1316:0, v1317:0, v1318:0, v1319:0, v1320:0, v1321:0, v1322:0, v1323:0, 0, 3, 4) -> f_520(v1306:0, v1307:0, v1308:0, v1309:0, v1310:0, v1311:0, v1312:0, v1583:0, 1, 1 + v1583:0, v1317:0, 1 + v1317:0, v1318:0, v1319:0, v1320:0, v1321:0, v1322:0, v1323:0, 0, 3, 4) :|: v1317:0 > 0 && v1308:0 < 1 + v1583:0 25.81/8.27 Filtered unneeded arguments: 25.81/8.27 f_520(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_520(x3, x8, x12) 25.81/8.27 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 25.81/8.27 f_520(v1308:0, sum~cons_1~v1583:0, v1317:0) -> f_520(v1308:0, v1583:0, 1 + v1317:0) :|: v1317:0 > 0 && v1308:0 < 1 + v1583:0 && sum~cons_1~v1583:0 = 1 + v1583:0 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (23) 25.81/8.27 Obligation: 25.81/8.27 Rules: 25.81/8.27 f_520(v1308:0, sum~cons_1~v1583:0, v1317:0) -> f_520(v1308:0, v1583:0, 1 + v1317:0) :|: v1317:0 > 0 && v1308:0 < 1 + v1583:0 && sum~cons_1~v1583:0 = 1 + v1583:0 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (24) IRS2T2 (EQUIVALENT) 25.81/8.27 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 25.81/8.27 25.81/8.27 (f_520_3,1) 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (25) 25.81/8.27 Obligation: 25.81/8.27 START: 0; 25.81/8.27 25.81/8.27 FROM: 0; 25.81/8.27 TO: 1; 25.81/8.27 25.81/8.27 FROM: 1; 25.81/8.27 oldX0 := x0; 25.81/8.27 oldX1 := x1; 25.81/8.27 oldX2 := x2; 25.81/8.27 oldX3 := oldX1 - 1; 25.81/8.27 assume(oldX2 > 0 && oldX0 < 1 + oldX3 && oldX1 = 1 + oldX3); 25.81/8.27 x0 := oldX0; 25.81/8.27 x1 := oldX1 - 1; 25.81/8.27 x2 := 1 + oldX2; 25.81/8.27 TO: 1; 25.81/8.27 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (26) T2 (EQUIVALENT) 25.81/8.27 Initially, performed program simplifications using lexicographic rank functions: 25.81/8.27 * Removed transitions 1, 3, 4 using the following rank functions: 25.81/8.27 - Rank function 1: 25.81/8.27 RF for loc. 5: -x0+x1 25.81/8.27 RF for loc. 6: -x0+x1 25.81/8.27 Bound for (chained) transitions 3: 1 25.81/8.27 - Rank function 2: 25.81/8.27 RF for loc. 5: 1-2*x0+2*x1 25.81/8.27 RF for loc. 6: -2*x0+2*x1 25.81/8.27 Bound for (chained) transitions 4: 2 25.81/8.27 - Rank function 3: 25.81/8.27 RF for loc. 5: 0 25.81/8.27 RF for loc. 6: -1 25.81/8.27 Bound for (chained) transitions 1: 0 25.81/8.27 25.81/8.27 ---------------------------------------- 25.81/8.27 25.81/8.27 (27) 25.81/8.27 YES 25.98/9.13 EOF