16.14/6.94 YES 16.14/6.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 16.14/6.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.14/6.96 16.14/6.96 16.14/6.96 Termination of the given C Problem could be proven: 16.14/6.96 16.14/6.96 (0) C Problem 16.14/6.96 (1) CToLLVMProof [EQUIVALENT, 174 ms] 16.14/6.96 (2) LLVM problem 16.14/6.96 (3) LLVMToTerminationGraphProof [EQUIVALENT, 2507 ms] 16.14/6.96 (4) LLVM Symbolic Execution Graph 16.14/6.96 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 16.14/6.96 (6) LLVM Symbolic Execution Lasso 16.14/6.96 (7) Lasso2IRS [SOUND, 92 ms] 16.14/6.96 (8) IntTRS 16.14/6.96 (9) IRS2T2 [EQUIVALENT, 0 ms] 16.14/6.96 (10) T2IntSys 16.14/6.96 (11) T2 [EQUIVALENT, 1153 ms] 16.14/6.96 (12) YES 16.14/6.96 16.14/6.96 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (0) 16.14/6.96 Obligation: 16.14/6.96 c file /export/starexec/sandbox/benchmark/theBenchmark.c 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (1) CToLLVMProof (EQUIVALENT) 16.14/6.96 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (2) 16.14/6.96 Obligation: 16.14/6.96 LLVM Problem 16.14/6.96 16.14/6.96 Aliases: 16.14/6.96 16.14/6.96 Data layout: 16.14/6.96 16.14/6.96 "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" 16.14/6.96 16.14/6.96 Machine: 16.14/6.96 16.14/6.96 "x86_64-pc-linux-gnu" 16.14/6.96 16.14/6.96 Type definitions: 16.14/6.96 16.14/6.96 Global variables: 16.14/6.96 16.14/6.96 Function declarations and definitions: 16.14/6.96 16.14/6.96 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 16.14/6.96 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 16.14/6.96 0: 16.14/6.96 %1 = alloca i32, align 4 16.14/6.96 %2 = alloca i32, align 4 16.14/6.96 %3 = alloca i32, align 4 16.14/6.96 %c = alloca i32, align 4 16.14/6.96 store %x, %1 16.14/6.96 store %y, %2 16.14/6.96 store %z, %3 16.14/6.96 store 0, %c 16.14/6.96 br %4 16.14/6.96 4: 16.14/6.96 %5 = load %1 16.14/6.96 %6 = load %3 16.14/6.96 %7 = icmp sgt %5 %6 16.14/6.96 br %7, %8, %12 16.14/6.96 8: 16.14/6.96 %9 = load %2 16.14/6.96 %10 = load %3 16.14/6.96 %11 = icmp sgt %9 %10 16.14/6.96 br %12 16.14/6.96 12: 16.14/6.96 %13 = phi [0, %4], [%11, %8] 16.14/6.96 br %13, %14, %21 16.14/6.96 14: 16.14/6.96 %15 = load %1 16.14/6.96 %16 = sub %15 1 16.14/6.96 store %16, %1 16.14/6.96 %17 = load %2 16.14/6.96 %18 = sub %17 1 16.14/6.96 store %18, %2 16.14/6.96 %19 = load %c 16.14/6.96 %20 = add %19 1 16.14/6.96 store %20, %c 16.14/6.96 br %4 16.14/6.96 21: 16.14/6.96 %22 = load %c 16.14/6.96 ret %22 16.14/6.96 16.14/6.96 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 16.14/6.96 0: 16.14/6.96 %1 = alloca i32, align 4 16.14/6.96 store 0, %1 16.14/6.96 %2 = call i32 @__VERIFIER_nondet_int() 16.14/6.96 %3 = call i32 @__VERIFIER_nondet_int() 16.14/6.96 %4 = call i32 @__VERIFIER_nondet_int() 16.14/6.96 %5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4) 16.14/6.96 ret %5 16.14/6.96 16.14/6.96 16.14/6.96 Analyze Termination of all function calls matching the pattern: 16.14/6.96 main() 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (3) LLVMToTerminationGraphProof (EQUIVALENT) 16.14/6.96 Constructed symbolic execution graph for LLVM program and proved memory safety. 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (4) 16.14/6.96 Obligation: 16.14/6.96 SE Graph 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 16.14/6.96 Converted SEGraph to 1 independent lasso. 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (6) 16.14/6.96 Obligation: 16.14/6.96 Lasso 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (7) Lasso2IRS (SOUND) 16.14/6.96 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 16.14/6.96 Generated rules. Obtained 63 rulesP rules: 16.14/6.96 f_337(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_338(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_338(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_339(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v642 < v650 16.14/6.96 f_339(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_341(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_341(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_343(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE 16.14/6.96 f_343(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_345(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_345(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_347(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_347(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_349(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v642 < v651 16.14/6.96 f_349(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_352(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_352(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_354(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_354(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_356(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE 16.14/6.96 f_356(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_358(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_358(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_360(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 1 + v759 = v650 16.14/6.96 f_360(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_362(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE 16.14/6.96 f_362(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_363(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_363(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_364(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 1 + v761 = v651 16.14/6.96 f_364(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_365(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE 16.14/6.96 f_365(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_366(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_366(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_367(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: v763 = 1 + v653 && 2 <= v763 16.14/6.96 f_367(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_368(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: TRUE 16.14/6.96 f_368(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_369(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: TRUE 16.14/6.96 f_369(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_336(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE 16.14/6.96 f_336(v640, v641, v642, v643, v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_337(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_118 -> f_119(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 16.14/6.96 f_119(v1, v2, 3, 1, 4) -> f_120(v1, v2, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_120(v1, v2, 0, 3, 1, 4) -> f_121(v1, v3, v2, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_121(v1, v3, v2, 0, 3, 1, 4) -> f_122(v1, v3, v4, v2, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_122(v1, v3, v4, v2, 0, 3, 1, 4) -> f_123(v1, v3, v4, v5, v2, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_123(v1, v3, v4, v5, v2, 0, 3, 1, 4) -> f_124(v3, v4, v5, v1, v2, 0, 3, 1, 4) :|: 0 = 0 16.14/6.96 f_124(v3, v4, v5, v1, v2, 0, 3, 1, 4) -> f_125(v3, v4, v5, v6, v1, v2, v7, 0, 3, 1, 4) :|: 1 <= v6 && v7 = 3 + v6 && 4 <= v7 16.14/6.96 f_125(v3, v4, v5, v6, v1, v2, v7, 0, 3, 1, 4) -> f_126(v3, v4, v5, v6, v8, v1, v2, v7, v9, 0, 3, 1, 4) :|: 1 <= v8 && v9 = 3 + v8 && 4 <= v9 16.14/6.96 f_126(v3, v4, v5, v6, v8, v1, v2, v7, v9, 0, 3, 1, 4) -> f_127(v3, v4, v5, v6, v8, v10, v1, v2, v7, v9, v11, 0, 3, 1, 4) :|: 1 <= v10 && v11 = 3 + v10 && 4 <= v11 16.14/6.96 f_127(v3, v4, v5, v6, v8, v10, v1, v2, v7, v9, v11, 0, 3, 1, 4) -> f_128(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: 1 <= v12 && v13 = 3 + v12 && 4 <= v13 16.14/6.96 f_128(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_129(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_129(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_130(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_130(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_131(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_131(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_132(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_132(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_133(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: TRUE 16.14/6.96 f_133(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_134(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: 0 = 0 16.14/6.96 f_134(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_135(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: 0 = 0 16.14/6.96 f_135(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_136(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) :|: v5 < v3 16.14/6.96 f_136(v3, v4, v5, v6, v8, v10, v12, v1, v2, v7, v9, v11, v13, 0, 3, 1, 4) -> f_138(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_138(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_140(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: TRUE 16.14/6.96 f_140(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_142(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_142(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_144(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_144(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_146(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: v5 < v4 16.14/6.96 f_146(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_149(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_149(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_151(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_151(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_153(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: TRUE 16.14/6.96 f_153(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_155(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_155(v3, v4, v5, v6, v8, v10, v12, 1, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_157(v3, v4, v5, v6, v8, v10, v12, 1, v25, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 1 + v25 = v3 16.14/6.96 f_157(v3, v4, v5, v6, v8, v10, v12, 1, v25, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_159(v3, v4, v5, v6, v8, v10, v12, 1, v25, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: TRUE 16.14/6.96 f_159(v3, v4, v5, v6, v8, v10, v12, 1, v25, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_160(v3, v4, v5, v6, v8, v10, v12, 1, v25, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 0 = 0 16.14/6.96 f_160(v3, v4, v5, v6, v8, v10, v12, 1, v25, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_161(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: 1 + v27 = v4 16.14/6.96 f_161(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_162(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, v1, v2, v7, v9, v11, v13, 0, 3, 4) :|: TRUE 16.14/6.96 f_162(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, v1, v2, v7, v9, v11, v13, 0, 3, 4) -> f_163(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) :|: 0 = 0 16.14/6.96 f_163(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) -> f_164(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) :|: 0 = 0 16.14/6.96 f_164(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) -> f_165(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) :|: TRUE 16.14/6.96 f_165(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) -> f_166(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) :|: TRUE 16.14/6.96 f_166(v3, v4, v5, v6, v8, v10, v12, 1, v25, v27, 0, v1, v2, v7, v9, v11, v13, 3, 4) -> f_200(v3, v4, v5, v6, v8, v10, v12, v3, 1, v4, v25, v27, 0, 1, v1, v2, v7, v9, v11, v13, 0, 3, 2, 4) :|: TRUE 16.14/6.96 f_200(v140, v141, v142, v143, v144, v145, v146, v147, 1, v149, v150, v151, v152, v153, v154, v155, v156, v157, v158, v159, 0, 3, 2, 4) -> f_234(v140, v141, v142, v143, v144, v145, v146, v147, 1, v149, v150, v151, v152, v153, v154, v155, v156, v157, v158, v159, 0, 3, 2, 4) :|: TRUE 16.14/6.96 f_234(v265, v266, v267, v268, v269, v270, v271, v272, 1, v274, v275, v276, v277, v278, v279, v280, v281, v282, v283, v284, 0, 3, 2, 4) -> f_268(v265, v266, v267, v268, v269, v270, v271, v272, 1, v274, v275, v276, v277, v278, v279, v280, v281, v282, v283, v284, 0, 3, 4) :|: TRUE 16.14/6.96 f_268(v390, v391, v392, v393, v394, v395, v396, v397, 1, v399, v400, v401, v402, v403, v404, v405, v406, v407, v408, v409, 0, 3, 4) -> f_302(v390, v391, v392, v393, v394, v395, v396, v397, 1, v399, v400, v401, v402, v403, v404, v405, v406, v407, v408, v409, 0, 3, 4) :|: TRUE 16.14/6.96 f_302(v515, v516, v517, v518, v519, v520, v521, v522, 1, v524, v525, v526, v527, v528, v529, v530, v531, v532, v533, v534, 0, 3, 4) -> f_336(v515, v516, v517, v518, v519, v520, v521, v522, 1, v524, v525, v526, v527, v528, v529, v530, v531, v532, v533, v534, 0, 3, 4) :|: TRUE 16.14/6.96 Combined rules. Obtained 2 rulesP rules: 16.14/6.96 f_118 -> f_337(1 + v25:0, 1 + v27:0, v5:0, v6:0, v8:0, v10:0, v12:0, v25:0, 1, 1 + v27:0, 1 + v25:0, v27:0, 0, 1, v1:0, 3 + v1:0, 3 + v6:0, 3 + v8:0, 3 + v10:0, 3 + v12:0, 0, 3, 4) :|: v1:0 > 0 && v6:0 > 0 && v8:0 > 0 && v10:0 > 0 && v12:0 > 0 && v5:0 < 1 + v27:0 && v5:0 < 1 + v25:0 16.14/6.96 f_337(v640:0, v641:0, v642:0, v643:0, v644:0, v645:0, v646:0, 1 + v759:0, 1, v649:0, v647:0, 1 + v761:0, v652:0, v653:0, v654:0, v655:0, v656:0, v657:0, v658:0, v659:0, 0, 3, 4) -> f_337(v640:0, v641:0, v642:0, v643:0, v644:0, v645:0, v646:0, v759:0, 1, 1 + v761:0, 1 + v759:0, v761:0, v653:0, 1 + v653:0, v654:0, v655:0, v656:0, v657:0, v658:0, v659:0, 0, 3, 4) :|: v642:0 < 1 + v759:0 && v653:0 > 0 && v642:0 < 1 + v761:0 16.14/6.96 Filtered unneeded arguments: 16.14/6.96 f_337(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_337(x3, x8, x12, x14) 16.14/6.96 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 16.14/6.96 f_118 -> f_337(v5:0, v25:0, v27:0, 1) :|: v5:0 < 1 + v27:0 && v5:0 < 1 + v25:0 16.14/6.96 f_337(v642:0, sum~cons_1~v759:0, sum~cons_1~v761:0, v653:0) -> f_337(v642:0, v759:0, v761:0, 1 + v653:0) :|: v653:0 > 0 && v642:0 < 1 + v761:0 && v642:0 < 1 + v759:0 && sum~cons_1~v759:0 = 1 + v759:0 && sum~cons_1~v761:0 = 1 + v761:0 16.14/6.96 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (8) 16.14/6.96 Obligation: 16.14/6.96 Rules: 16.14/6.96 f_118 -> f_337(v5:0, v25:0, v27:0, 1) :|: v5:0 < 1 + v27:0 && v5:0 < 1 + v25:0 16.14/6.96 f_337(v642:0, sum~cons_1~v759:0, sum~cons_1~v761:0, v653:0) -> f_337(v642:0, v759:0, v761:0, 1 + v653:0) :|: v653:0 > 0 && v642:0 < 1 + v761:0 && v642:0 < 1 + v759:0 && sum~cons_1~v759:0 = 1 + v759:0 && sum~cons_1~v761:0 = 1 + v761:0 16.14/6.96 Start term: f_118 16.14/6.96 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (9) IRS2T2 (EQUIVALENT) 16.14/6.96 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 16.14/6.96 16.14/6.96 (f_118_4,1) 16.14/6.96 (f_337_4,2) 16.14/6.96 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (10) 16.14/6.96 Obligation: 16.14/6.96 START: 1; 16.14/6.96 16.14/6.96 FROM: 1; 16.14/6.96 oldX0 := x0; 16.14/6.96 oldX1 := x1; 16.14/6.96 oldX2 := x2; 16.14/6.96 oldX3 := x3; 16.14/6.96 oldX4 := nondet(); 16.14/6.96 oldX5 := nondet(); 16.14/6.96 oldX6 := nondet(); 16.14/6.96 assume(oldX4 < 1 + oldX6 && oldX4 < 1 + oldX5); 16.14/6.96 x0 := oldX4; 16.14/6.96 x1 := oldX5; 16.14/6.96 x2 := oldX6; 16.14/6.96 x3 := 1; 16.14/6.96 TO: 2; 16.14/6.96 16.14/6.96 FROM: 2; 16.14/6.96 oldX0 := x0; 16.14/6.96 oldX1 := x1; 16.14/6.96 oldX2 := x2; 16.14/6.96 oldX3 := x3; 16.14/6.96 oldX4 := oldX1 - 1; 16.14/6.96 oldX5 := oldX2 - 1; 16.14/6.96 assume(oldX3 > 0 && oldX0 < 1 + oldX5 && oldX0 < 1 + oldX4 && oldX1 = 1 + oldX4 && oldX2 = 1 + oldX5); 16.14/6.96 x0 := oldX0; 16.14/6.96 x1 := oldX1 - 1; 16.14/6.96 x2 := oldX2 - 1; 16.14/6.96 x3 := 1 + oldX3; 16.14/6.96 TO: 2; 16.14/6.96 16.14/6.96 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (11) T2 (EQUIVALENT) 16.14/6.96 Initially, performed program simplifications using lexicographic rank functions: 16.14/6.96 * Removed transitions 1, 3, 4 using the following rank functions: 16.14/6.96 - Rank function 1: 16.14/6.96 RF for loc. 5: 1-2*x0+2*x1 16.14/6.96 RF for loc. 6: -2*x0+2*x1 16.14/6.96 Bound for (chained) transitions 3: 2 16.14/6.96 Bound for (chained) transitions 4: 2 16.14/6.96 - Rank function 2: 16.14/6.96 RF for loc. 5: 0 16.14/6.96 RF for loc. 6: -1 16.14/6.96 Bound for (chained) transitions 1: 0 16.14/6.96 16.14/6.96 ---------------------------------------- 16.14/6.96 16.14/6.96 (12) 16.14/6.96 YES 16.22/8.19 EOF