23.76/7.31 YES 25.01/8.00 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 25.01/8.00 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.01/8.00 25.01/8.00 25.01/8.00 Termination of the given C Problem could be proven: 25.01/8.00 25.01/8.00 (0) C Problem 25.01/8.00 (1) CToLLVMProof [EQUIVALENT, 172 ms] 25.01/8.00 (2) LLVM problem 25.01/8.00 (3) LLVMToTerminationGraphProof [EQUIVALENT, 2090 ms] 25.01/8.00 (4) LLVM Symbolic Execution Graph 25.01/8.00 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 25.01/8.00 (6) AND 25.01/8.00 (7) LLVM Symbolic Execution SCC 25.01/8.00 (8) SCC2IRS [SOUND, 145 ms] 25.01/8.00 (9) IntTRS 25.01/8.00 (10) IRS2T2 [EQUIVALENT, 0 ms] 25.01/8.00 (11) T2IntSys 25.01/8.00 (12) T2 [EQUIVALENT, 974 ms] 25.01/8.00 (13) YES 25.01/8.00 (14) LLVM Symbolic Execution SCC 25.01/8.00 (15) SCC2IRS [SOUND, 70 ms] 25.01/8.00 (16) IntTRS 25.01/8.00 (17) IRS2T2 [EQUIVALENT, 0 ms] 25.01/8.00 (18) T2IntSys 25.01/8.00 (19) T2 [EQUIVALENT, 843 ms] 25.01/8.00 (20) YES 25.01/8.00 (21) LLVM Symbolic Execution SCC 25.01/8.00 (22) SCC2IRS [SOUND, 66 ms] 25.01/8.00 (23) IntTRS 25.01/8.00 (24) TerminationGraphProcessor [EQUIVALENT, 3 ms] 25.01/8.00 (25) YES 25.01/8.00 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (0) 25.01/8.00 Obligation: 25.01/8.00 c file /export/starexec/sandbox/benchmark/theBenchmark.c 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (1) CToLLVMProof (EQUIVALENT) 25.01/8.00 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (2) 25.01/8.00 Obligation: 25.01/8.00 LLVM Problem 25.01/8.00 25.01/8.00 Aliases: 25.01/8.00 25.01/8.00 Data layout: 25.01/8.00 25.01/8.00 "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" 25.01/8.00 25.01/8.00 Machine: 25.01/8.00 25.01/8.00 "x86_64-pc-linux-gnu" 25.01/8.00 25.01/8.00 Type definitions: 25.01/8.00 25.01/8.00 Global variables: 25.01/8.00 25.01/8.00 Function declarations and definitions: 25.01/8.00 25.01/8.00 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.01/8.00 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.01/8.00 0: 25.01/8.00 %1 = alloca i32, align 4 25.01/8.00 %2 = alloca i32, align 4 25.01/8.00 %3 = alloca i32, align 4 25.01/8.00 store %x, %2 25.01/8.00 store %y, %3 25.01/8.00 br %4 25.01/8.00 4: 25.01/8.00 %5 = load %2 25.01/8.00 %6 = icmp sge %5 0 25.01/8.00 br %6, %7, %23 25.01/8.00 7: 25.01/8.00 store 1, %3 25.01/8.00 br %8 25.01/8.00 8: 25.01/8.00 %9 = load %2 25.01/8.00 %10 = load %3 25.01/8.00 %11 = icmp sgt %9 %10 25.01/8.00 br %11, %12, %20 25.01/8.00 12: 25.01/8.00 %13 = load %3 25.01/8.00 %14 = icmp sle %13 0 25.01/8.00 br %14, %15, %17 25.01/8.00 15: 25.01/8.00 %16 = load %2 25.01/8.00 store %16, %1 25.01/8.00 br %25 25.01/8.00 17: 25.01/8.00 %18 = load %3 25.01/8.00 %19 = mul 2 %18 25.01/8.00 store %19, %3 25.01/8.00 br %8 25.01/8.00 20: 25.01/8.00 %21 = load %2 25.01/8.00 %22 = sub %21 1 25.01/8.00 store %22, %2 25.01/8.00 br %4 25.01/8.00 23: 25.01/8.00 %24 = load %3 25.01/8.00 store %24, %1 25.01/8.00 br %25 25.01/8.00 25: 25.01/8.00 %26 = load %1 25.01/8.00 ret %26 25.01/8.00 25.01/8.00 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.01/8.00 0: 25.01/8.00 %1 = alloca i32, align 4 25.01/8.00 store 0, %1 25.01/8.00 %2 = call i32 @__VERIFIER_nondet_int() 25.01/8.00 %3 = call i32 @__VERIFIER_nondet_int() 25.01/8.00 %4 = call i32 @test_fun(i32 %2, i32 %3) 25.01/8.00 ret %4 25.01/8.00 25.01/8.00 25.01/8.00 Analyze Termination of all function calls matching the pattern: 25.01/8.00 main() 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (3) LLVMToTerminationGraphProof (EQUIVALENT) 25.01/8.00 Constructed symbolic execution graph for LLVM program and proved memory safety. 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (4) 25.01/8.00 Obligation: 25.01/8.00 SE Graph 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (5) SymbolicExecutionGraphToSCCProof (SOUND) 25.01/8.00 Splitted symbolic execution graph to 3 SCCs. 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (6) 25.01/8.00 Complex Obligation (AND) 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (7) 25.01/8.00 Obligation: 25.01/8.00 SCC 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (8) SCC2IRS (SOUND) 25.01/8.00 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.01/8.00 Generated rules. Obtained 38 rulesP rules: 25.01/8.00 f_414(v457, v458, v459, v460, v461, v462, 1, v464, 0, v465, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_415(v457, v458, v459, v460, v461, v462, 1, v464, 0, v465, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_415(v457, v458, v459, v460, v461, v462, 1, v464, 0, v465, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_416(v457, v458, v459, v460, v461, v462, 1, v464, 0, v465, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: TRUE 25.01/8.00 f_416(v457, v458, v459, v460, v461, v462, 1, v464, 0, v465, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_417(v457, v458, v459, v460, v461, v462, 1, v464, 0, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_417(v457, v458, v459, v460, v461, v462, 1, v464, 0, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_418(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: v479 = 2 * v464 && 2 <= v479 25.01/8.00 f_418(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_419(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: TRUE 25.01/8.00 f_419(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_420(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: TRUE 25.01/8.00 f_420(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_421(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_421(v457, v458, v459, v460, v461, v462, 1, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_422(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_422(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_423(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: v479 < v462 && 3 <= v462 && 4 <= v468 && 4 <= v457 25.01/8.00 f_422(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_424(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: v462 <= v479 25.01/8.00 f_423(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_425(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_425(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_427(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: TRUE 25.01/8.00 f_427(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_413(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: TRUE 25.01/8.00 f_413(v457, v458, v459, v460, v461, v462, 1, v464, v465, 0, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_414(v457, v458, v459, v460, v461, v462, 1, v464, 0, v465, v467, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_424(v457, v458, v459, v460, v461, v462, 1, v479, v464, 0, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_426(v457, v458, v459, v460, v461, v462, 1, v479, 0, v464, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_426(v457, v458, v459, v460, v461, v462, 1, v479, 0, v464, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_428(v457, v458, v459, v460, v461, v462, 1, v479, 0, v464, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: TRUE 25.01/8.00 f_428(v457, v458, v459, v460, v461, v462, 1, v479, 0, v464, v468, v469, v470, v471, v472, v473, 3, 2, 4) -> f_447(v457, v458, v459, v460, v461, v462, 1, v479, 0, v464, v479, v468, v469, v470, v471, v472, v473, 3, 2, 4) :|: TRUE 25.01/8.00 f_447(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v673, v674, v675, v676, v677, v678, 3, 2, 4) -> f_448(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_448(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) -> f_449(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v679, v674, v675, v676, v677, v678, 3, 2, 4) :|: 1 + v679 = v667 && 0 <= 1 + v679 25.01/8.00 f_449(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v679, v674, v675, v676, v677, v678, 3, 2, 4) -> f_450(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v679, v674, v675, v676, v677, v678, 3, 2, 4) :|: TRUE 25.01/8.00 f_450(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v679, v674, v675, v676, v677, v678, 3, 2, 4) -> f_451(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v679, v674, v675, v676, v677, v678, 3, 2, 4) :|: TRUE 25.01/8.00 f_451(v662, v663, v664, v665, v666, v667, 1, v669, 0, v671, v672, v679, v674, v675, v676, v677, v678, 3, 2, 4) -> f_452(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_452(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) -> f_453(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: 0 <= v679 && 1 <= v667 25.01/8.00 f_453(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) -> f_455(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_455(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) -> f_457(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: TRUE 25.01/8.00 f_457(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) -> f_459(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: TRUE 25.01/8.00 f_459(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) -> f_461(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: TRUE 25.01/8.00 f_461(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) -> f_438(v662, v663, v664, v665, v666, v679, 1, v667, v669, 0, v671, v672, v674, v675, v676, v677, v678, 3, 2, 4) :|: TRUE 25.01/8.00 f_438(v589, v590, v591, v592, v593, v594, 1, v596, v597, 0, v599, v600, v601, v602, v603, v604, v605, 3, 2, 4) -> f_439(v589, v590, v591, v592, v593, v594, 1, v597, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_439(v589, v590, v591, v592, v593, v594, 1, v597, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_440(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_440(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_441(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: 1 < v594 && 3 <= v596 && 3 <= v589 && 4 <= v600 && 2 <= v599 25.01/8.00 f_440(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_442(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: v594 <= 1 && v596 <= 2 25.01/8.00 f_441(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_443(v589, v590, v591, v592, v593, v594, 1, v599, 0, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_443(v589, v590, v591, v592, v593, v594, 1, v599, 0, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_445(v589, v590, v591, v592, v593, v594, 1, v599, 0, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: TRUE 25.01/8.00 f_445(v589, v590, v591, v592, v593, v594, 1, v599, 0, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_413(v589, v590, v591, v592, v593, v594, 1, 1, v599, 0, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: TRUE 25.01/8.00 f_442(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_444(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_444(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_446(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: TRUE 25.01/8.00 f_446(v589, v590, v591, v592, v593, v594, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) -> f_447(v589, v590, v591, v592, v593, v594, 1, 1, 0, v599, v600, v596, v601, v602, v603, v604, v605, 3, 2, 4) :|: TRUE 25.01/8.00 Combined rules. Obtained 4 rulesP rules: 25.01/8.00 f_440(v589:0, v590:0, v591:0, v592:0, v593:0, v594:0, 1, 0, v599:0, v600:0, v596:0, v601:0, v602:0, v603:0, v604:0, v605:0, 3, 2, 4) -> f_414(v589:0, v590:0, v591:0, v592:0, v593:0, v594:0, 1, 1, 0, v599:0, v600:0, v596:0, v601:0, v602:0, v603:0, v604:0, v605:0, 3, 2, 4) :|: v596:0 > 2 && v594:0 > 1 && v589:0 > 2 && v599:0 > 1 && v600:0 > 3 25.01/8.00 f_414(v457:0, v458:0, v459:0, v460:0, v461:0, 1 + v679:0, 1, v464:0, 0, v465:0, v467:0, v468:0, v469:0, v470:0, v471:0, v472:0, v473:0, 3, 2, 4) -> f_440(v457:0, v458:0, v459:0, v460:0, v461:0, v679:0, 1, 0, v464:0, 2 * v464:0, 1 + v679:0, v469:0, v470:0, v471:0, v472:0, v473:0, 3, 2, 4) :|: v679:0 > -1 && 2 * v464:0 > 1 && 2 * v464:0 >= 1 + v679:0 25.01/8.00 f_440(v589:0, v590:0, v591:0, v592:0, v593:0, 1 + v679:0, 1, 0, v599:0, v600:0, v596:0, v601:0, v602:0, v603:0, v604:0, v605:0, 3, 2, 4) -> f_440(v589:0, v590:0, v591:0, v592:0, v593:0, v679:0, 1, 0, v599:0, v600:0, 1 + v679:0, v601:0, v602:0, v603:0, v604:0, v605:0, 3, 2, 4) :|: v679:0 > -1 && v679:0 < 1 && v596:0 < 3 25.01/8.00 f_414(v457:0, v458:0, v459:0, v460:0, v461:0, v462:0, 1, v464:0, 0, v465:0, v467:0, v468:0, v469:0, v470:0, v471:0, v472:0, v473:0, 3, 2, 4) -> f_414(v457:0, v458:0, v459:0, v460:0, v461:0, v462:0, 1, 2 * v464:0, 0, v464:0, 2 * v464:0, v468:0, v469:0, v470:0, v471:0, v472:0, v473:0, 3, 2, 4) :|: 2 * v464:0 > 1 && v462:0 > 2 && v462:0 > 2 * v464:0 && v457:0 > 3 && v468:0 > 3 25.01/8.00 Filtered unneeded arguments: 25.01/8.00 f_440(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_440(x1, x6, x9, x10, x11) 25.01/8.00 f_414(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_414(x1, x6, x8, x12) 25.01/8.00 Removed division, modulo operations, cleaned up constraints. Obtained 4 rules.P rules: 25.01/8.00 f_440(v589:0, v594:0, v599:0, v600:0, v596:0) -> f_414(v589:0, v594:0, 1, v596:0) :|: v594:0 > 1 && v596:0 > 2 && v589:0 > 2 && v600:0 > 3 && v599:0 > 1 25.01/8.00 f_414(v457:0, sum~cons_1~v679:0, v464:0, v468:0) -> f_440(v457:0, v679:0, v464:0, 2 * v464:0, 1 + v679:0) :|: 2 * v464:0 > 1 && 2 * v464:0 >= 1 + v679:0 && v679:0 > -1 && sum~cons_1~v679:0 = 1 + v679:0 25.01/8.00 f_440(v589:0, sum~cons_1~v679:0, v599:0, v600:0, v596:0) -> f_440(v589:0, v679:0, v599:0, v600:0, 1 + v679:0) :|: v679:0 < 1 && v596:0 < 3 && v679:0 > -1 && sum~cons_1~v679:0 = 1 + v679:0 25.01/8.00 f_414(v457:0, v462:0, v464:0, v468:0) -> f_414(v457:0, v462:0, 2 * v464:0, v468:0) :|: v462:0 > 2 && 2 * v464:0 > 1 && v462:0 > 2 * v464:0 && v468:0 > 3 && v457:0 > 3 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (9) 25.01/8.00 Obligation: 25.01/8.00 Rules: 25.01/8.00 f_440(v589:0, v594:0, v599:0, v600:0, v596:0) -> f_414(v589:0, v594:0, 1, v596:0) :|: v594:0 > 1 && v596:0 > 2 && v589:0 > 2 && v600:0 > 3 && v599:0 > 1 25.01/8.00 f_414(v457:0, sum~cons_1~v679:0, v464:0, v468:0) -> f_440(v457:0, v679:0, v464:0, 2 * v464:0, 1 + v679:0) :|: 2 * v464:0 > 1 && 2 * v464:0 >= 1 + v679:0 && v679:0 > -1 && sum~cons_1~v679:0 = 1 + v679:0 25.01/8.00 f_440(x, x1, x2, x3, x4) -> f_440(x, x5, x2, x3, 1 + x5) :|: x5 < 1 && x4 < 3 && x5 > -1 && x1 = 1 + x5 25.01/8.00 f_414(x6, x7, x8, x9) -> f_414(x6, x7, 2 * x8, x9) :|: x7 > 2 && 2 * x8 > 1 && x7 > 2 * x8 && x9 > 3 && x6 > 3 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (10) IRS2T2 (EQUIVALENT) 25.01/8.00 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 25.01/8.00 25.01/8.00 (f_440_5,1) 25.01/8.00 (f_414_5,2) 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (11) 25.01/8.00 Obligation: 25.01/8.00 START: 0; 25.01/8.00 25.01/8.00 FROM: 0; 25.01/8.00 TO: 1; 25.01/8.00 25.01/8.00 FROM: 0; 25.01/8.00 TO: 2; 25.01/8.00 25.01/8.00 FROM: 1; 25.01/8.00 oldX0 := x0; 25.01/8.00 oldX1 := x1; 25.01/8.00 oldX2 := x2; 25.01/8.00 oldX3 := x3; 25.01/8.00 oldX4 := x4; 25.01/8.00 oldX5 := nondet(); 25.01/8.00 assume(oldX1 > 1 && oldX4 > 2 && oldX0 > 2 && oldX3 > 3 && oldX2 > 1); 25.01/8.00 x0 := oldX0; 25.01/8.00 x1 := oldX1; 25.01/8.00 x2 := 1; 25.01/8.00 x3 := oldX4; 25.01/8.00 x4 := oldX5; 25.01/8.00 TO: 2; 25.01/8.00 25.01/8.00 FROM: 2; 25.01/8.00 oldX0 := x0; 25.01/8.00 oldX1 := x1; 25.01/8.00 oldX2 := x2; 25.01/8.00 oldX3 := x3; 25.01/8.00 oldX4 := x4; 25.01/8.00 oldX5 := oldX1 - 1; 25.01/8.00 assume(2 * oldX2 > 1 && 2 * oldX2 >= 1 + oldX5 && oldX5 > -1 && oldX1 = 1 + oldX5); 25.01/8.00 x0 := oldX0; 25.01/8.00 x1 := oldX1 - 1; 25.01/8.00 x2 := oldX2; 25.01/8.00 x3 := 2 * oldX2; 25.01/8.00 x4 := 1 + oldX5; 25.01/8.00 TO: 1; 25.01/8.00 25.01/8.00 FROM: 1; 25.01/8.00 oldX0 := x0; 25.01/8.00 oldX1 := x1; 25.01/8.00 oldX2 := x2; 25.01/8.00 oldX3 := x3; 25.01/8.00 oldX4 := x4; 25.01/8.00 oldX5 := oldX1 - 1; 25.01/8.00 assume(oldX5 < 1 && oldX4 < 3 && oldX5 > -1 && oldX1 = 1 + oldX5); 25.01/8.00 x0 := oldX0; 25.01/8.00 x1 := oldX1 - 1; 25.01/8.00 x2 := oldX2; 25.01/8.00 x3 := oldX3; 25.01/8.00 x4 := 1 + oldX5; 25.01/8.00 TO: 1; 25.01/8.00 25.01/8.00 FROM: 2; 25.01/8.00 oldX0 := x0; 25.01/8.00 oldX1 := x1; 25.01/8.00 oldX2 := x2; 25.01/8.00 oldX3 := x3; 25.01/8.00 oldX4 := x4; 25.01/8.00 oldX5 := nondet(); 25.01/8.00 assume(oldX1 > 2 && 2 * oldX2 > 1 && oldX1 > 2 * oldX2 && oldX3 > 3 && oldX0 > 3); 25.01/8.00 x0 := oldX0; 25.01/8.00 x1 := oldX1; 25.01/8.00 x2 := 2 * oldX2; 25.01/8.00 x3 := oldX3; 25.01/8.00 x4 := oldX5; 25.01/8.00 TO: 2; 25.01/8.00 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (12) T2 (EQUIVALENT) 25.01/8.00 Initially, performed program simplifications using lexicographic rank functions: 25.01/8.00 * Removed transitions 2, 5, 6, 14, 17, 18 using the following rank functions: 25.01/8.00 - Rank function 1: 25.01/8.00 RF for loc. 6: 2+3*x1 25.01/8.00 RF for loc. 7: 3*x1 25.01/8.00 RF for loc. 8: 1+3*x1 25.01/8.00 RF for loc. 12: 3*x1 25.01/8.00 Bound for (chained) transitions 6: 4 25.01/8.00 Bound for (chained) transitions 17: 3 25.01/8.00 - Rank function 2: 25.01/8.00 RF for loc. 6: x1 25.01/8.00 RF for loc. 7: 1+x1-2*x2 25.01/8.00 RF for loc. 8: -1+x1 25.01/8.00 RF for loc. 12: x1-2*x2 25.01/8.00 Bound for (chained) transitions 18: 1 25.01/8.00 - Rank function 3: 25.01/8.00 RF for loc. 6: 3 25.01/8.00 RF for loc. 7: 1 25.01/8.00 RF for loc. 8: 2 25.01/8.00 RF for loc. 12: 0 25.01/8.00 Bound for (chained) transitions 2: 3 25.01/8.00 Bound for (chained) transitions 5: 2 25.01/8.00 Bound for (chained) transitions 14: 1 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (13) 25.01/8.00 YES 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (14) 25.01/8.00 Obligation: 25.01/8.00 SCC 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (15) SCC2IRS (SOUND) 25.01/8.00 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.01/8.00 Generated rules. Obtained 13 rulesP rules: 25.01/8.00 f_280(v101, v102, v103, v104, v105, 1, v107, 0, v109, v110, v111, v112, v113, v114, 3, 2, 4) -> f_281(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_281(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) -> f_282(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) :|: v109 < v101 && 3 <= v101 25.01/8.00 f_282(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) -> f_284(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_284(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) -> f_286(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) :|: TRUE 25.01/8.00 f_286(v101, v102, v103, v104, v105, 1, v109, v107, 0, v110, v111, v112, v113, v114, 3, 2, 4) -> f_288(v101, v102, v103, v104, v105, 1, v109, 0, v107, v110, v111, v112, v113, v114, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_288(v101, v102, v103, v104, v105, 1, v109, 0, v107, v110, v111, v112, v113, v114, 3, 2, 4) -> f_290(v101, v102, v103, v104, v105, 1, v109, 0, v107, v110, v111, v112, v113, v114, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_290(v101, v102, v103, v104, v105, 1, v109, 0, v107, v110, v111, v112, v113, v114, 3, 2, 4) -> f_292(v101, v102, v103, v104, v105, 1, v109, 0, v107, v110, v111, v112, v113, v114, 3, 2, 4) :|: TRUE 25.01/8.00 f_292(v101, v102, v103, v104, v105, 1, v109, 0, v107, v110, v111, v112, v113, v114, 3, 2, 4) -> f_294(v101, v102, v103, v104, v105, 1, v109, 0, v110, v111, v112, v113, v114, 3, 2, 4) :|: 0 = 0 25.01/8.00 f_294(v101, v102, v103, v104, v105, 1, v109, 0, v110, v111, v112, v113, v114, 3, 2, 4) -> f_296(v101, v102, v103, v104, v105, 1, v109, 0, v117, v110, v111, v112, v113, v114, 3, 2, 4) :|: v117 = 2 * v109 && 4 <= v117 25.01/8.00 f_296(v101, v102, v103, v104, v105, 1, v109, 0, v117, v110, v111, v112, v113, v114, 3, 2, 4) -> f_298(v101, v102, v103, v104, v105, 1, v109, 0, v117, v110, v111, v112, v113, v114, 3, 2, 4) :|: TRUE 25.01/8.00 f_298(v101, v102, v103, v104, v105, 1, v109, 0, v117, v110, v111, v112, v113, v114, 3, 2, 4) -> f_300(v101, v102, v103, v104, v105, 1, v109, 0, v117, v110, v111, v112, v113, v114, 3, 2, 4) :|: TRUE 25.01/8.00 f_300(v101, v102, v103, v104, v105, 1, v109, 0, v117, v110, v111, v112, v113, v114, 3, 2, 4) -> f_279(v101, v102, v103, v104, v105, 1, v109, 0, v117, v110, v111, v112, v113, v114, 3, 2, 4) :|: TRUE 25.01/8.00 f_279(v101, v102, v103, v104, v105, 1, v107, 0, v109, v110, v111, v112, v113, v114, 3, 2, 4) -> f_280(v101, v102, v103, v104, v105, 1, v107, 0, v109, v110, v111, v112, v113, v114, 3, 2, 4) :|: 0 = 0 25.01/8.00 Combined rules. Obtained 1 rulesP rules: 25.01/8.00 f_280(v101:0, v102:0, v103:0, v104:0, v105:0, 1, v107:0, 0, v109:0, v110:0, v111:0, v112:0, v113:0, v114:0, 3, 2, 4) -> f_280(v101:0, v102:0, v103:0, v104:0, v105:0, 1, v109:0, 0, 2 * v109:0, v110:0, v111:0, v112:0, v113:0, v114:0, 3, 2, 4) :|: v101:0 > 2 && 3 < 2 * v109:0 && v109:0 < v101:0 25.01/8.00 Filtered unneeded arguments: 25.01/8.00 f_280(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_280(x1, x9) 25.01/8.00 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 25.01/8.00 f_280(v101:0, v109:0) -> f_280(v101:0, 2 * v109:0) :|: 3 < 2 * v109:0 && v109:0 < v101:0 && v101:0 > 2 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (16) 25.01/8.00 Obligation: 25.01/8.00 Rules: 25.01/8.00 f_280(v101:0, v109:0) -> f_280(v101:0, 2 * v109:0) :|: 3 < 2 * v109:0 && v109:0 < v101:0 && v101:0 > 2 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (17) IRS2T2 (EQUIVALENT) 25.01/8.00 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 25.01/8.00 25.01/8.00 (f_280_2,1) 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (18) 25.01/8.00 Obligation: 25.01/8.00 START: 0; 25.01/8.00 25.01/8.00 FROM: 0; 25.01/8.00 TO: 1; 25.01/8.00 25.01/8.00 FROM: 1; 25.01/8.00 oldX0 := x0; 25.01/8.00 oldX1 := x1; 25.01/8.00 assume(3 < 2 * oldX1 && oldX1 < oldX0 && oldX0 > 2); 25.01/8.00 x0 := oldX0; 25.01/8.00 x1 := 2 * oldX1; 25.01/8.00 TO: 1; 25.01/8.00 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (19) T2 (EQUIVALENT) 25.01/8.00 Initially, performed program simplifications using lexicographic rank functions: 25.01/8.00 * Removed transitions 1, 3, 4 using the following rank functions: 25.01/8.00 - Rank function 1: 25.01/8.00 RF for loc. 5: x0-x1 25.01/8.00 RF for loc. 6: -1+x0-x1 25.01/8.00 Bound for (chained) transitions 3: 0 25.01/8.00 Bound for (chained) transitions 4: 0 25.01/8.00 - Rank function 2: 25.01/8.00 RF for loc. 5: 0 25.01/8.00 RF for loc. 6: -1 25.01/8.00 Bound for (chained) transitions 1: 0 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (20) 25.01/8.00 YES 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (21) 25.01/8.00 Obligation: 25.01/8.00 SCC 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (22) SCC2IRS (SOUND) 25.01/8.00 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.01/8.00 Generated rules. Obtained 15 rulesP rules: 25.01/8.00 f_214(v16, v17, v18, v19, v20, v24, 1, v21, 0, v25, v26, v27, v28, v29, 3, 4) -> f_216(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: 0 <= v24 && v21 = 1 && v24 = 0 && 0 = 0 25.01/8.00 f_216(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_219(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: 0 = 0 25.01/8.00 f_219(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_223(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: TRUE 25.01/8.00 f_223(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_227(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: TRUE 25.01/8.00 f_227(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_231(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: TRUE 25.01/8.00 f_231(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_235(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: 0 = 0 25.01/8.00 f_235(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_239(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: 0 = 0 25.01/8.00 f_239(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_243(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: 0 = 0 25.01/8.00 f_243(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_247(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: TRUE 25.01/8.00 f_247(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_250(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) :|: 0 = 0 25.01/8.00 f_250(1, v17, v18, v19, v20, 0, v25, v26, v27, v28, v29, 3, 4) -> f_253(1, v17, v18, v19, v20, 0, -1, v25, v26, v27, v28, v29, 3, 4) :|: 0 = 0 25.01/8.00 f_253(1, v17, v18, v19, v20, 0, -1, v25, v26, v27, v28, v29, 3, 4) -> f_256(1, v17, v18, v19, v20, 0, -1, v25, v26, v27, v28, v29, 3, 4) :|: TRUE 25.01/8.00 f_256(1, v17, v18, v19, v20, 0, -1, v25, v26, v27, v28, v29, 3, 4) -> f_258(1, v17, v18, v19, v20, 0, -1, v25, v26, v27, v28, v29, 3, 4) :|: TRUE 25.01/8.00 f_258(1, v17, v18, v19, v20, 0, -1, v25, v26, v27, v28, v29, 3, 4) -> f_211(1, v17, v18, v19, v20, 0, 1, 0, -1, v25, v26, v27, v28, v29, 3, 4) :|: TRUE 25.01/8.00 f_211(v16, v17, v18, v19, v20, v21, 1, 0, v24, v25, v26, v27, v28, v29, 3, 4) -> f_214(v16, v17, v18, v19, v20, v24, 1, v21, 0, v25, v26, v27, v28, v29, 3, 4) :|: 0 = 0 25.01/8.00 Combined rules. Obtained 1 rulesP rules: 25.01/8.00 f_214(v16:0, v17:0, v18:0, v19:0, v20:0, 0, 1, 1, 0, v25:0, v26:0, v27:0, v28:0, v29:0, 3, 4) -> f_214(1, v17:0, v18:0, v19:0, v20:0, -1, 1, 0, 0, v25:0, v26:0, v27:0, v28:0, v29:0, 3, 4) :|: TRUE 25.01/8.00 Filtered unneeded arguments: 25.01/8.00 f_214(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_214(x6, x8) 25.01/8.00 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 25.01/8.00 f_214(cons_0, cons_1) -> f_214(-1, 0) :|: TRUE && cons_0 = 0 && cons_1 = 1 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (23) 25.01/8.00 Obligation: 25.01/8.00 Rules: 25.01/8.00 f_214(cons_0, cons_1) -> f_214(-1, 0) :|: TRUE && cons_0 = 0 && cons_1 = 1 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (24) TerminationGraphProcessor (EQUIVALENT) 25.01/8.00 Constructed the termination graph and obtained no non-trivial SCC(s). 25.01/8.00 25.01/8.00 ---------------------------------------- 25.01/8.00 25.01/8.00 (25) 25.01/8.00 YES 25.05/9.76 EOF