27.48/9.38 YES 27.48/9.39 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 27.48/9.39 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.48/9.39 27.48/9.39 27.48/9.39 Termination of the given C Problem could be proven: 27.48/9.39 27.48/9.39 (0) C Problem 27.48/9.39 (1) CToLLVMProof [EQUIVALENT, 173 ms] 27.48/9.39 (2) LLVM problem 27.48/9.39 (3) LLVMToTerminationGraphProof [EQUIVALENT, 6297 ms] 27.48/9.39 (4) LLVM Symbolic Execution Graph 27.48/9.39 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 27.48/9.39 (6) LLVM Symbolic Execution SCC 27.48/9.39 (7) SCC2IRS [SOUND, 95 ms] 27.48/9.39 (8) IntTRS 27.48/9.39 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 27.48/9.39 (10) IntTRS 27.48/9.39 (11) RankingReductionPairProof [EQUIVALENT, 0 ms] 27.48/9.39 (12) YES 27.48/9.39 27.48/9.39 27.48/9.39 ---------------------------------------- 27.48/9.39 27.48/9.39 (0) 27.48/9.39 Obligation: 27.48/9.39 c file /export/starexec/sandbox/benchmark/theBenchmark.c 27.48/9.39 ---------------------------------------- 27.48/9.39 27.48/9.39 (1) CToLLVMProof (EQUIVALENT) 27.48/9.39 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 27.48/9.39 ---------------------------------------- 27.48/9.39 27.48/9.39 (2) 27.48/9.39 Obligation: 27.48/9.39 LLVM Problem 27.48/9.39 27.48/9.39 Aliases: 27.48/9.39 27.48/9.39 Data layout: 27.48/9.39 27.48/9.39 "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" 27.48/9.39 27.48/9.39 Machine: 27.48/9.39 27.48/9.39 "x86_64-pc-linux-gnu" 27.48/9.39 27.48/9.39 Type definitions: 27.48/9.39 27.48/9.39 Global variables: 27.48/9.39 27.48/9.39 Function declarations and definitions: 27.48/9.39 27.48/9.39 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 27.48/9.39 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 27.48/9.39 0: 27.48/9.39 %1 = alloca i32, align 4 27.48/9.39 %2 = alloca i32, align 4 27.48/9.39 %3 = alloca i32, align 4 27.48/9.39 %x_ref = alloca *i32, align 8 27.48/9.39 %y_ref = alloca *i32, align 8 27.48/9.39 %z_ref = alloca *i32, align 8 27.48/9.39 %c = alloca *i32, align 8 27.48/9.39 store %x, %1 27.48/9.39 store %y, %2 27.48/9.39 store %z, %3 27.48/9.39 %4 = alloca i8, numElementsLit: 4 27.48/9.39 %5 = bitcast *i8 %4 to *i32 27.48/9.39 store %5, %x_ref 27.48/9.39 %6 = alloca i8, numElementsLit: 4 27.48/9.39 %7 = bitcast *i8 %6 to *i32 27.48/9.39 store %7, %y_ref 27.48/9.39 %8 = alloca i8, numElementsLit: 4 27.48/9.39 %9 = bitcast *i8 %8 to *i32 28.37/9.39 store %9, %z_ref 28.37/9.39 %10 = alloca i8, numElementsLit: 4 28.37/9.39 %11 = bitcast *i8 %10 to *i32 28.37/9.39 store %11, %c 28.37/9.39 %12 = load %1 28.37/9.39 %13 = load %x_ref 28.37/9.39 store %12, %13 28.37/9.39 %14 = load %2 28.37/9.39 %15 = load %y_ref 28.37/9.39 store %14, %15 28.37/9.39 %16 = load %3 28.37/9.39 %17 = load %z_ref 28.37/9.39 store %16, %17 28.37/9.39 %18 = load %c 28.37/9.39 store 0, %18 28.37/9.39 br %19 28.37/9.39 19: 28.37/9.39 %20 = load %x_ref 28.37/9.39 %21 = load %20 28.37/9.39 %22 = load %y_ref 28.37/9.39 %23 = load %22 28.37/9.39 %24 = icmp eq %21 %23 28.37/9.39 br %24, %25, %31 28.37/9.39 25: 28.37/9.39 %26 = load %x_ref 28.37/9.39 %27 = load %26 28.37/9.39 %28 = load %z_ref 28.37/9.39 %29 = load %28 28.37/9.39 %30 = icmp sgt %27 %29 28.37/9.39 br %31 28.37/9.39 31: 28.37/9.39 %32 = phi [0, %19], [%30, %25] 28.37/9.39 br %32, %33, %54 28.37/9.39 33: 28.37/9.39 br %34 28.37/9.39 34: 28.37/9.39 %35 = load %y_ref 28.37/9.39 %36 = load %35 28.37/9.39 %37 = load %z_ref 28.37/9.39 %38 = load %37 28.37/9.39 %39 = icmp sgt %36 %38 28.37/9.39 br %39, %40, %53 28.37/9.39 40: 28.37/9.39 %41 = load %x_ref 28.37/9.39 %42 = load %41 28.37/9.39 %43 = sub %42 1 28.37/9.39 %44 = load %x_ref 28.37/9.39 store %43, %44 28.37/9.39 %45 = load %y_ref 28.37/9.39 %46 = load %45 28.37/9.39 %47 = sub %46 1 28.37/9.39 %48 = load %y_ref 28.37/9.39 store %47, %48 28.37/9.39 %49 = load %c 28.37/9.39 %50 = load %49 28.37/9.39 %51 = add %50 1 28.37/9.39 %52 = load %c 28.37/9.39 store %51, %52 28.37/9.39 br %34 28.37/9.39 53: 28.37/9.39 br %19 28.37/9.39 54: 28.37/9.39 %55 = load %c 28.37/9.39 %56 = load %55 28.37/9.39 ret %56 28.37/9.39 28.37/9.39 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 28.37/9.39 0: 28.37/9.39 %1 = alloca i32, align 4 28.37/9.39 store 0, %1 28.37/9.39 %2 = call i32 @__VERIFIER_nondet_int() 28.37/9.39 %3 = call i32 @__VERIFIER_nondet_int() 28.37/9.39 %4 = call i32 @__VERIFIER_nondet_int() 28.37/9.39 %5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4) 28.37/9.39 ret %5 28.37/9.39 28.37/9.39 28.37/9.39 Analyze Termination of all function calls matching the pattern: 28.37/9.39 main() 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (3) LLVMToTerminationGraphProof (EQUIVALENT) 28.37/9.39 Constructed symbolic execution graph for LLVM program and proved memory safety. 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (4) 28.37/9.39 Obligation: 28.37/9.39 SE Graph 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (5) SymbolicExecutionGraphToSCCProof (SOUND) 28.37/9.39 Splitted symbolic execution graph to 1 SCC. 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (6) 28.37/9.39 Obligation: 28.37/9.39 SCC 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (7) SCC2IRS (SOUND) 28.37/9.39 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 28.37/9.39 Generated rules. Obtained 24 rulesP rules: 28.37/9.39 f_595(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v512, v513, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_596(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_596(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_597(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_597(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_598(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_598(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_599(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: v499 < v513 28.37/9.39 f_599(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_601(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_601(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_603(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE 28.37/9.39 f_603(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_605(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_605(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_607(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_607(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_609(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 1 + v530 = v513 28.37/9.39 f_609(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_611(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_611(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_613(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE 28.37/9.39 f_613(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_615(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_615(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_617(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_617(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_619(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 1 + v530 = v513 28.37/9.39 f_619(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_621(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_621(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_623(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE 28.37/9.39 f_623(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_625(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_625(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_627(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 f_627(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_629(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: v533 = 1 + v515 && 2 <= v533 28.37/9.39 f_629(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_631(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: 0 = 0 28.37/9.39 f_631(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_633(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: TRUE 28.37/9.39 f_633(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_635(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: TRUE 28.37/9.39 f_635(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_594(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE 28.37/9.39 f_594(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v512, v513, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_595(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v512, v513, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 28.37/9.39 Combined rules. Obtained 1 rulesP rules: 28.37/9.39 f_595(v498:0, v499:0, v500:0, v501:0, v502:0, v503:0, v504:0, v505:0, v506:0, v507:0, v508:0, v509:0, v510:0, 1, v512:0, 1 + v530:0, v514:0, v515:0, v516:0, v517:0, v518:0, v519:0, v520:0, v521:0, v522:0, v523:0, v524:0, v525:0, v526:0, v527:0, v528:0, 0, 3, 7, 4, 8) -> f_595(v498:0, v499:0, v500:0, v501:0, v502:0, v503:0, v504:0, v505:0, v506:0, v507:0, v508:0, v509:0, v510:0, 1, 1 + v530:0, v530:0, v515:0, 1 + v515:0, v516:0, v517:0, v518:0, v519:0, v520:0, v521:0, v522:0, v523:0, v524:0, v525:0, v526:0, v527:0, v528:0, 0, 3, 7, 4, 8) :|: v515:0 > 0 && v499:0 < 1 + v530:0 28.37/9.39 Filtered unneeded arguments: 28.37/9.39 f_595(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36) -> f_595(x2, x16, x18) 28.37/9.39 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 28.37/9.39 f_595(v499:0, sum~cons_1~v530:0, v515:0) -> f_595(v499:0, v530:0, 1 + v515:0) :|: v515:0 > 0 && v499:0 < 1 + v530:0 && sum~cons_1~v530:0 = 1 + v530:0 28.37/9.39 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (8) 28.37/9.39 Obligation: 28.37/9.39 Rules: 28.37/9.39 f_595(v499:0, sum~cons_1~v530:0, v515:0) -> f_595(v499:0, v530:0, 1 + v515:0) :|: v515:0 > 0 && v499:0 < 1 + v530:0 && sum~cons_1~v530:0 = 1 + v530:0 28.37/9.39 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (9) IntTRSCompressionProof (EQUIVALENT) 28.37/9.39 Compressed rules. 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (10) 28.37/9.39 Obligation: 28.37/9.39 Rules: 28.37/9.39 f_595(v499:0:0, sum~cons_1~v530:0:0, v515:0:0) -> f_595(v499:0:0, v530:0:0, 1 + v515:0:0) :|: v515:0:0 > 0 && v499:0:0 < 1 + v530:0:0 && sum~cons_1~v530:0:0 = 1 + v530:0:0 28.37/9.39 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (11) RankingReductionPairProof (EQUIVALENT) 28.37/9.39 Interpretation: 28.37/9.39 [ f_595 ] = -1*f_595_1 + f_595_2 28.37/9.39 28.37/9.39 The following rules are decreasing: 28.37/9.39 f_595(v499:0:0, sum~cons_1~v530:0:0, v515:0:0) -> f_595(v499:0:0, v530:0:0, 1 + v515:0:0) :|: v515:0:0 > 0 && v499:0:0 < 1 + v530:0:0 && sum~cons_1~v530:0:0 = 1 + v530:0:0 28.37/9.39 28.37/9.39 The following rules are bounded: 28.37/9.39 f_595(v499:0:0, sum~cons_1~v530:0:0, v515:0:0) -> f_595(v499:0:0, v530:0:0, 1 + v515:0:0) :|: v515:0:0 > 0 && v499:0:0 < 1 + v530:0:0 && sum~cons_1~v530:0:0 = 1 + v530:0:0 28.37/9.39 28.37/9.39 28.37/9.39 ---------------------------------------- 28.37/9.39 28.37/9.39 (12) 28.37/9.39 YES 28.59/9.66 EOF