37.52/10.81 YES 37.52/10.81 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 37.52/10.81 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 37.52/10.81 37.52/10.81 37.52/10.81 Termination of the given C Problem could be proven: 37.52/10.81 37.52/10.81 (0) C Problem 37.52/10.81 (1) CToLLVMProof [EQUIVALENT, 176 ms] 37.52/10.81 (2) LLVM problem 37.52/10.81 (3) LLVMToTerminationGraphProof [EQUIVALENT, 1593 ms] 37.52/10.81 (4) LLVM Symbolic Execution Graph 37.52/10.81 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 37.52/10.81 (6) AND 37.52/10.81 (7) LLVM Symbolic Execution SCC 37.52/10.81 (8) SCC2IRS [SOUND, 130 ms] 37.52/10.81 (9) IntTRS 37.52/10.81 (10) IRS2T2 [EQUIVALENT, 0 ms] 37.52/10.81 (11) T2IntSys 37.52/10.81 (12) T2 [EQUIVALENT, 773 ms] 37.52/10.81 (13) YES 37.52/10.81 (14) LLVM Symbolic Execution SCC 37.52/10.81 (15) SCC2IRS [SOUND, 47 ms] 37.52/10.81 (16) IntTRS 37.52/10.81 (17) IRS2T2 [EQUIVALENT, 0 ms] 37.52/10.81 (18) T2IntSys 37.52/10.81 (19) T2 [EQUIVALENT, 673 ms] 37.52/10.81 (20) YES 37.52/10.81 (21) LLVM Symbolic Execution SCC 37.52/10.81 (22) SCC2IRS [SOUND, 60 ms] 37.52/10.81 (23) IntTRS 37.52/10.81 (24) IntTRSCompressionProof [EQUIVALENT, 0 ms] 37.52/10.81 (25) IntTRS 37.52/10.81 (26) PolynomialOrderProcessor [EQUIVALENT, 7 ms] 37.52/10.81 (27) YES 37.52/10.81 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (0) 37.52/10.81 Obligation: 37.52/10.81 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (1) CToLLVMProof (EQUIVALENT) 37.52/10.81 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (2) 37.52/10.81 Obligation: 37.52/10.81 LLVM Problem 37.52/10.81 37.52/10.81 Aliases: 37.52/10.81 37.52/10.81 Data layout: 37.52/10.81 37.52/10.81 "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" 37.52/10.81 37.52/10.81 Machine: 37.52/10.81 37.52/10.81 "x86_64-pc-linux-gnu" 37.52/10.81 37.52/10.81 Type definitions: 37.52/10.81 37.52/10.81 Global variables: 37.52/10.81 37.52/10.81 Function declarations and definitions: 37.52/10.81 37.52/10.81 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 37.52/10.81 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 37.52/10.81 0: 37.52/10.81 %1 = alloca i32, align 4 37.52/10.81 %x = alloca i32, align 4 37.52/10.81 %y = alloca i32, align 4 37.52/10.81 store 0, %1 37.52/10.81 %2 = call i32 @__VERIFIER_nondet_int() 37.52/10.81 store %2, %x 37.52/10.81 %3 = call i32 @__VERIFIER_nondet_int() 37.52/10.81 store %3, %y 37.52/10.81 br %4 37.52/10.81 4: 37.52/10.81 %5 = load %x 37.52/10.81 %6 = icmp sgt %5 0 37.52/10.81 br %6, %7, %10 37.52/10.81 7: 37.52/10.81 %8 = load %y 37.52/10.81 %9 = icmp sgt %8 0 37.52/10.81 br %10 37.52/10.81 10: 37.52/10.81 %11 = phi [0, %4], [%9, %7] 37.52/10.81 br %11, %12, %23 37.52/10.81 12: 37.52/10.81 %13 = call i32 @__VERIFIER_nondet_int() 37.52/10.81 %14 = icmp ne %13 0 37.52/10.81 br %14, %15, %19 37.52/10.81 15: 37.52/10.81 %16 = load %x 37.52/10.81 %17 = sub %16 1 37.52/10.81 store %17, %x 37.52/10.81 %18 = call i32 @__VERIFIER_nondet_int() 37.52/10.81 store %18, %y 37.52/10.81 br %22 37.52/10.81 19: 37.52/10.81 %20 = load %y 37.52/10.81 %21 = sub %20 1 37.52/10.81 store %21, %y 37.52/10.81 br %22 37.52/10.81 22: 37.52/10.81 br %4 37.52/10.81 23: 37.52/10.81 ret 0 37.52/10.81 37.52/10.81 37.52/10.81 Analyze Termination of all function calls matching the pattern: 37.52/10.81 main() 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (3) LLVMToTerminationGraphProof (EQUIVALENT) 37.52/10.81 Constructed symbolic execution graph for LLVM program and proved memory safety. 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (4) 37.52/10.81 Obligation: 37.52/10.81 SE Graph 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (5) SymbolicExecutionGraphToSCCProof (SOUND) 37.52/10.81 Splitted symbolic execution graph to 3 SCCs. 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (6) 37.52/10.81 Complex Obligation (AND) 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (7) 37.52/10.81 Obligation: 37.52/10.81 SCC 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (8) SCC2IRS (SOUND) 37.52/10.81 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 37.52/10.81 Generated rules. Obtained 48 rulesP rules: 37.52/10.81 f_399(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1513, v1514, v1515, v1516, 0, 3, 2, 4) -> f_401(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1513, v1514, v1515, v1516, 0, 3, 2, 4) :|: 1 + v1555 = v1506 && 0 <= v1555 37.52/10.81 f_401(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1513, v1514, v1515, v1516, 0, 3, 2, 4) -> f_403(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1513, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_403(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1513, v1514, v1515, v1516, 0, 3, 2, 4) -> f_405(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_405(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_408(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_408(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_410(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_410(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_412(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_412(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1555, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_414(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_414(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_416(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 < v1555 && 2 <= v1506 && 3 <= v1504 37.52/10.81 f_416(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_419(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_419(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_423(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_423(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1508, v1509, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) -> f_427(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_427(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_431(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 < v1559 37.52/10.81 f_431(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_435(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_435(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_438(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_438(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_442(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_442(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v1509, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_446(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_446(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_449(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: v2202 != 0 37.52/10.81 f_446(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_450(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, 0, v1510, v1511, v1506, v1514, v1515, v1516, 3, 2, 4) :|: v2202 = 0 37.52/10.81 f_449(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_451(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_451(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_453(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_453(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1514, v1515, v1516, 0, 3, 2, 4) -> f_396(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, v2202, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_396(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1512, v1513, v1514, v1515, v1516, 0, 3, 2, 4) -> f_399(v1501, v1502, v1503, v1504, v1505, v1506, 1, v1508, v1509, v1510, v1511, v1513, v1514, v1515, v1516, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_450(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, 0, v1510, v1511, v1506, v1514, v1515, v1516, 3, 2, 4) -> f_452(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, 0, v1510, v1511, v1506, v1514, v1515, v1516, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_452(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, 0, v1510, v1511, v1506, v1514, v1515, v1516, 3, 2, 4) -> f_454(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, 0, v1510, v1511, v1506, v1514, v1515, v1516, 3, 2, 4) :|: TRUE 37.52/10.81 f_454(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, 0, v1510, v1511, v1506, v1514, v1515, v1516, 3, 2, 4) -> f_398(v1501, v1502, v1503, v1504, v1505, v1555, 1, v1559, 0, v1510, v1511, v1506, v1559, v1514, v1515, v1516, 3, 2, 4) :|: TRUE 37.52/10.81 f_398(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1548, v1549, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) -> f_400(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1549, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_400(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1549, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) -> f_402(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1556, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) :|: 1 + v1556 = v1546 && 0 <= v1556 37.52/10.81 f_402(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1556, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) -> f_404(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1556, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) :|: TRUE 37.52/10.81 f_404(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1556, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) -> f_406(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1556, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) :|: TRUE 37.52/10.81 f_406(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1556, v1550, v1551, v1552, v1553, v1554, 3, 2, 4) -> f_407(v1539, v1540, v1541, v1542, v1543, v1544, 1, v1546, 0, v1550, v1551, v1556, v1552, v1553, v1554, 3, 2, 4) :|: TRUE 37.52/10.81 f_407(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) -> f_409(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) :|: TRUE 37.52/10.81 f_409(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) -> f_411(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_411(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) -> f_413(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_413(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) -> f_415(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) :|: TRUE 37.52/10.81 f_415(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1595, 0, v1597, v1598, v1599, v1600, v1601, v1602, 3, 2, 4) -> f_418(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_418(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_421(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: 0 < v1599 && 2 <= v1595 && 2 <= v1598 37.52/10.81 f_421(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_425(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_425(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_429(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_429(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_433(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: TRUE 37.52/10.81 f_433(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_437(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: TRUE 37.52/10.81 f_437(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_440(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: v1977 != 0 37.52/10.81 f_437(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_441(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: v1977 = 0 37.52/10.81 f_440(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_444(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, v1597, v1598, v1595, v1600, v1601, v1602, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_444(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, v1597, v1598, v1595, v1600, v1601, v1602, 0, 3, 2, 4) -> f_447(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, v1597, v1598, v1595, v1600, v1601, v1602, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_447(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, v1597, v1598, v1595, v1600, v1601, v1602, 0, 3, 2, 4) -> f_396(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, v1977, v1595, v1599, v1597, v1598, v1600, v1601, v1602, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_441(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_445(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_445(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_448(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) :|: TRUE 37.52/10.81 f_448(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1597, v1598, v1595, v1600, v1601, v1602, 3, 2, 4) -> f_398(v1588, v1589, v1590, v1591, v1592, v1593, 1, v1599, 0, v1595, v1599, v1597, v1598, v1600, v1601, v1602, 3, 2, 4) :|: TRUE 37.52/10.81 Combined rules. Obtained 6 rulesP rules: 37.52/10.81 f_437(v1588:0, v1589:0, v1590:0, v1591:0, v1592:0, v1593:0, 1, v1599:0, v1977:0, 0, v1597:0, v1598:0, v1595:0, v1600:0, v1601:0, v1602:0, 3, 2, 4) -> f_399(v1588:0, v1589:0, v1590:0, v1591:0, v1592:0, v1593:0, 1, v1599:0, v1977:0, v1595:0, v1599:0, v1598:0, v1600:0, v1601:0, v1602:0, 0, 3, 2, 4) :|: v1977:0 < 0 37.52/10.81 f_437(v1588:0, v1589:0, v1590:0, v1591:0, v1592:0, v1593:0, 1, v1599:0, v1977:0, 0, v1597:0, v1598:0, v1595:0, v1600:0, v1601:0, v1602:0, 3, 2, 4) -> f_399(v1588:0, v1589:0, v1590:0, v1591:0, v1592:0, v1593:0, 1, v1599:0, v1977:0, v1595:0, v1599:0, v1598:0, v1600:0, v1601:0, v1602:0, 0, 3, 2, 4) :|: v1977:0 > 0 37.52/10.81 f_437(v1588:0, v1589:0, v1590:0, v1591:0, v1592:0, v1593:0, 1, 1 + v1556:0, 0, 0, v1597:0, v1598:0, v1595:0, v1600:0, v1601:0, v1602:0, 3, 2, 4) -> f_437(v1588:0, v1589:0, v1590:0, v1591:0, v1592:0, v1593:0, 1, v1556:0, v1977:1, 0, v1597:0, v1598:0, 1 + v1556:0, v1600:0, v1601:0, v1602:0, 3, 2, 4) :|: v1556:0 > 0 && v1598:0 > 1 37.52/10.81 f_399(v1501:0, v1502:0, v1503:0, v1504:0, v1505:0, 1 + v1555:0, 1, v1508:0, v1509:0, v1510:0, v1511:0, v1513:0, v1514:0, v1515:0, v1516:0, 0, 3, 2, 4) -> f_437(v1501:0, v1502:0, v1503:0, v1504:0, v1505:0, v1555:0, 1, v1556:0, v1977:0, 0, 1 + v1555:0, 1 + v1556:0, 1 + v1556:0, v1514:0, v1515:0, v1516:0, 3, 2, 4) :|: v1555:0 > 0 && v1556:0 > 0 && v1504:0 > 2 37.52/10.81 f_399(v1501:0, v1502:0, v1503:0, v1504:0, v1505:0, 1 + v1555:0, 1, v1508:0, v1509:0, v1510:0, v1511:0, v1513:0, v1514:0, v1515:0, v1516:0, 0, 3, 2, 4) -> f_399(v1501:0, v1502:0, v1503:0, v1504:0, v1505:0, v1555:0, 1, v1559:0, v2202:0, v1510:0, v1511:0, v1559:0, v1514:0, v1515:0, v1516:0, 0, 3, 2, 4) :|: v1555:0 > 0 && v1504:0 > 2 && v2202:0 < 0 && v1559:0 > 0 37.52/10.81 f_399(v1501:0, v1502:0, v1503:0, v1504:0, v1505:0, 1 + v1555:0, 1, v1508:0, v1509:0, v1510:0, v1511:0, v1513:0, v1514:0, v1515:0, v1516:0, 0, 3, 2, 4) -> f_399(v1501:0, v1502:0, v1503:0, v1504:0, v1505:0, v1555:0, 1, v1559:0, v2202:0, v1510:0, v1511:0, v1559:0, v1514:0, v1515:0, v1516:0, 0, 3, 2, 4) :|: v1555:0 > 0 && v1504:0 > 2 && v2202:0 > 0 && v1559:0 > 0 37.52/10.81 Filtered unneeded arguments: 37.52/10.81 f_437(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_437(x4, x6, x8, x9, x12) 37.52/10.81 f_399(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_399(x4, x6) 37.52/10.81 Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules: 37.52/10.81 f_437(v1591:0, v1593:0, v1599:0, v1977:0, v1598:0) -> f_399(v1591:0, v1593:0) :|: v1977:0 < 0 37.52/10.81 f_437(v1591:0, v1593:0, v1599:0, v1977:0, v1598:0) -> f_399(v1591:0, v1593:0) :|: v1977:0 > 0 37.52/10.81 f_437(v1591:0, v1593:0, sum~cons_1~v1556:0, cons_0, v1598:0) -> f_437(v1591:0, v1593:0, v1556:0, v1977:1, v1598:0) :|: v1556:0 > 0 && v1598:0 > 1 && sum~cons_1~v1556:0 = 1 + v1556:0 && cons_0 = 0 37.52/10.81 f_399(v1504:0, sum~cons_1~v1555:0) -> f_437(v1504:0, v1555:0, v1556:0, v1977:0, 1 + v1556:0) :|: v1556:0 > 0 && v1504:0 > 2 && v1555:0 > 0 && sum~cons_1~v1555:0 = 1 + v1555:0 37.52/10.81 f_399(v1504:0, sum~cons_1~v1555:0) -> f_399(v1504:0, v1555:0) :|: v1555:0 > 0 && v1504:0 > 2 && sum~cons_1~v1555:0 = 1 + v1555:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (9) 37.52/10.81 Obligation: 37.52/10.81 Rules: 37.52/10.81 f_437(v1591:0, v1593:0, v1599:0, v1977:0, v1598:0) -> f_399(v1591:0, v1593:0) :|: v1977:0 < 0 37.52/10.81 f_437(x, x1, x2, x3, x4) -> f_399(x, x1) :|: x3 > 0 37.52/10.81 f_437(x5, x6, x7, x8, x9) -> f_437(x5, x6, x10, x11, x9) :|: x10 > 0 && x9 > 1 && x7 = 1 + x10 && x8 = 0 37.52/10.81 f_399(x12, x13) -> f_437(x12, x14, x15, x16, 1 + x15) :|: x15 > 0 && x12 > 2 && x14 > 0 && x13 = 1 + x14 37.52/10.81 f_399(v1504:0, sum~cons_1~v1555:0) -> f_399(v1504:0, v1555:0) :|: v1555:0 > 0 && v1504:0 > 2 && sum~cons_1~v1555:0 = 1 + v1555:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (10) IRS2T2 (EQUIVALENT) 37.52/10.81 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 37.52/10.81 37.52/10.81 (f_437_5,1) 37.52/10.81 (f_399_5,2) 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (11) 37.52/10.81 Obligation: 37.52/10.81 START: 0; 37.52/10.81 37.52/10.81 FROM: 0; 37.52/10.81 TO: 1; 37.52/10.81 37.52/10.81 FROM: 0; 37.52/10.81 TO: 2; 37.52/10.81 37.52/10.81 FROM: 1; 37.52/10.81 oldX0 := x0; 37.52/10.81 oldX1 := x1; 37.52/10.81 oldX2 := x2; 37.52/10.81 oldX3 := x3; 37.52/10.81 oldX4 := x4; 37.52/10.81 oldX5 := nondet(); 37.52/10.81 oldX6 := nondet(); 37.52/10.81 oldX7 := nondet(); 37.52/10.81 assume(oldX3 < 0); 37.52/10.81 x0 := oldX0; 37.52/10.81 x1 := oldX1; 37.52/10.81 x2 := oldX5; 37.52/10.81 x3 := oldX6; 37.52/10.81 x4 := oldX7; 37.52/10.81 TO: 2; 37.52/10.81 37.52/10.81 FROM: 1; 37.52/10.81 oldX0 := x0; 37.52/10.81 oldX1 := x1; 37.52/10.81 oldX2 := x2; 37.52/10.81 oldX3 := x3; 37.52/10.81 oldX4 := x4; 37.52/10.81 oldX5 := nondet(); 37.52/10.81 oldX6 := nondet(); 37.52/10.81 oldX7 := nondet(); 37.52/10.81 assume(oldX3 > 0); 37.52/10.81 x0 := oldX0; 37.52/10.81 x1 := oldX1; 37.52/10.81 x2 := oldX5; 37.52/10.81 x3 := oldX6; 37.52/10.81 x4 := oldX7; 37.52/10.81 TO: 2; 37.52/10.81 37.52/10.81 FROM: 1; 37.52/10.81 oldX0 := x0; 37.52/10.81 oldX1 := x1; 37.52/10.81 oldX2 := x2; 37.52/10.81 oldX3 := x3; 37.52/10.81 oldX4 := x4; 37.52/10.81 oldX5 := oldX2 - 1; 37.52/10.81 oldX6 := nondet(); 37.52/10.81 assume(oldX5 > 0 && oldX4 > 1 && oldX2 = 1 + oldX5 && oldX3 = 0); 37.52/10.81 x0 := oldX0; 37.52/10.81 x1 := oldX1; 37.52/10.81 x2 := oldX2 - 1; 37.52/10.81 x3 := oldX6; 37.52/10.81 x4 := oldX4; 37.52/10.81 TO: 1; 37.52/10.81 37.52/10.81 FROM: 2; 37.52/10.81 oldX0 := x0; 37.52/10.81 oldX1 := x1; 37.52/10.81 oldX2 := x2; 37.52/10.81 oldX3 := x3; 37.52/10.81 oldX4 := x4; 37.52/10.81 oldX5 := oldX1 - 1; 37.52/10.81 oldX6 := nondet(); 37.52/10.81 oldX7 := nondet(); 37.52/10.81 assume(oldX6 > 0 && oldX0 > 2 && oldX5 > 0 && oldX1 = 1 + oldX5); 37.52/10.81 x0 := oldX0; 37.52/10.81 x1 := oldX1 - 1; 37.52/10.81 x2 := oldX6; 37.52/10.81 x3 := oldX7; 37.52/10.81 x4 := 1 + oldX6; 37.52/10.81 TO: 1; 37.52/10.81 37.52/10.81 FROM: 2; 37.52/10.81 oldX0 := x0; 37.52/10.81 oldX1 := x1; 37.52/10.81 oldX2 := x2; 37.52/10.81 oldX3 := x3; 37.52/10.81 oldX4 := x4; 37.52/10.81 oldX5 := oldX1 - 1; 37.52/10.81 oldX6 := nondet(); 37.52/10.81 oldX7 := nondet(); 37.52/10.81 oldX8 := nondet(); 37.52/10.81 assume(oldX5 > 0 && oldX0 > 2 && oldX1 = 1 + oldX5); 37.52/10.81 x0 := oldX0; 37.52/10.81 x1 := oldX1 - 1; 37.52/10.81 x2 := oldX6; 37.52/10.81 x3 := oldX7; 37.52/10.81 x4 := oldX8; 37.52/10.81 TO: 2; 37.52/10.81 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (12) T2 (EQUIVALENT) 37.52/10.81 Initially, performed program simplifications using lexicographic rank functions: 37.52/10.81 * Removed transitions 2, 5, 6, 7, 17, 20, 21 using the following rank functions: 37.52/10.81 - Rank function 1: 37.52/10.81 RF for loc. 6: 2+3*x1 37.52/10.81 RF for loc. 7: 1+3*x1 37.52/10.81 RF for loc. 8: 2+3*x1 37.52/10.81 RF for loc. 12: 3*x1 37.52/10.81 Bound for (chained) transitions 20: 6 37.52/10.81 Bound for (chained) transitions 21: 6 37.52/10.81 - Rank function 2: 37.52/10.81 RF for loc. 6: 0 37.52/10.81 RF for loc. 7: -1 37.52/10.81 RF for loc. 8: 0 37.52/10.81 RF for loc. 12: -2 37.52/10.81 Bound for (chained) transitions 5: 0 37.52/10.81 Bound for (chained) transitions 17: -1 37.52/10.81 - Rank function 3: 37.52/10.81 RF for loc. 6: 1+2*x2 37.52/10.81 RF for loc. 7: -1+2*x2 37.52/10.81 RF for loc. 8: 2*x2 37.52/10.81 Bound for (chained) transitions 7: 4 37.52/10.81 - Rank function 4: 37.52/10.81 RF for loc. 6: 0 37.52/10.81 RF for loc. 7: -2*oldX3 37.52/10.81 RF for loc. 8: -1 37.52/10.81 Bound for (chained) transitions 2: 0 37.52/10.81 Bound for (chained) transitions 6: -1 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (13) 37.52/10.81 YES 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (14) 37.52/10.81 Obligation: 37.52/10.81 SCC 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (15) SCC2IRS (SOUND) 37.52/10.81 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 37.52/10.81 Generated rules. Obtained 21 rulesP rules: 37.52/10.81 f_288(v516, v517, v518, v519, v520, v521, 1, v523, v524, v525, v526, v527, v528, v529, 0, 3, 4) -> f_291(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 4) :|: 0 = 0 37.52/10.81 f_291(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 4) -> f_293(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 2, 4) :|: 0 < v525 && 2 <= v521 && 2 <= v519 37.52/10.81 f_293(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 2, 4) -> f_297(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_297(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 2, 4) -> f_301(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_301(v516, v517, v518, v519, v520, v525, 1, v523, v524, v521, v526, v527, v528, v529, 0, 3, 2, 4) -> f_305(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_305(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) -> f_309(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) :|: 0 < v526 37.52/10.81 f_309(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) -> f_313(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_313(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) -> f_317(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_317(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) -> f_321(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_321(v516, v517, v518, v519, v520, v525, 1, v526, v524, v521, v527, v528, v529, 0, 3, 2, 4) -> f_325(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_325(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) -> f_327(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) :|: v719 != 0 37.52/10.81 f_327(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) -> f_330(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_330(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) -> f_333(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_333(v516, v517, v518, v519, v520, v525, 1, v526, v719, v521, v527, v528, v529, 0, 3, 2, 4) -> f_337(v516, v517, v518, v519, v520, v525, 1, v526, v719, v527, v528, v529, 0, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_337(v516, v517, v518, v519, v520, v525, 1, v526, v719, v527, v528, v529, 0, 3, 2, 4) -> f_341(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v527, v528, v529, 0, 3, 2, 4) :|: 1 + v766 = v525 && 0 <= v766 37.52/10.81 f_341(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v527, v528, v529, 0, 3, 2, 4) -> f_345(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_345(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v527, v528, v529, 0, 3, 2, 4) -> f_349(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v858, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_349(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v858, v527, v528, v529, 0, 3, 2, 4) -> f_353(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v858, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_353(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v858, v527, v528, v529, 0, 3, 2, 4) -> f_357(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v858, v527, v528, v529, 0, 3, 2, 4) :|: TRUE 37.52/10.81 f_357(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v858, v527, v528, v529, 0, 3, 2, 4) -> f_285(v516, v517, v518, v519, v520, v525, 1, v526, v719, v766, v858, v527, v528, v529, 0, 3, 4) :|: TRUE 37.52/10.81 f_285(v516, v517, v518, v519, v520, v521, 1, v523, v524, v525, v526, v527, v528, v529, 0, 3, 4) -> f_288(v516, v517, v518, v519, v520, v521, 1, v523, v524, v525, v526, v527, v528, v529, 0, 3, 4) :|: TRUE 37.52/10.81 Combined rules. Obtained 2 rulesP rules: 37.52/10.81 f_288(v516:0, v517:0, v518:0, v519:0, v520:0, v521:0, 1, v523:0, v524:0, 1 + v766:0, v526:0, v527:0, v528:0, v529:0, 0, 3, 4) -> f_288(v516:0, v517:0, v518:0, v519:0, v520:0, 1 + v766:0, 1, v526:0, v719:0, v766:0, v858:0, v527:0, v528:0, v529:0, 0, 3, 4) :|: v521:0 > 1 && v766:0 > -1 && v519:0 > 1 && v526:0 > 0 && v719:0 < 0 37.52/10.81 f_288(v516:0, v517:0, v518:0, v519:0, v520:0, v521:0, 1, v523:0, v524:0, 1 + v766:0, v526:0, v527:0, v528:0, v529:0, 0, 3, 4) -> f_288(v516:0, v517:0, v518:0, v519:0, v520:0, 1 + v766:0, 1, v526:0, v719:0, v766:0, v858:0, v527:0, v528:0, v529:0, 0, 3, 4) :|: v521:0 > 1 && v766:0 > -1 && v519:0 > 1 && v526:0 > 0 && v719:0 > 0 37.52/10.81 Filtered unneeded arguments: 37.52/10.81 f_288(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_288(x4, x6, x10, x11) 37.52/10.81 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 37.52/10.81 f_288(v519:0, v521:0, sum~cons_1~v766:0, v526:0) -> f_288(v519:0, 1 + v766:0, v766:0, v858:0) :|: v766:0 > -1 && v521:0 > 1 && v526:0 > 0 && v519:0 > 1 && sum~cons_1~v766:0 = 1 + v766:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (16) 37.52/10.81 Obligation: 37.52/10.81 Rules: 37.52/10.81 f_288(v519:0, v521:0, sum~cons_1~v766:0, v526:0) -> f_288(v519:0, 1 + v766:0, v766:0, v858:0) :|: v766:0 > -1 && v521:0 > 1 && v526:0 > 0 && v519:0 > 1 && sum~cons_1~v766:0 = 1 + v766:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (17) IRS2T2 (EQUIVALENT) 37.52/10.81 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 37.52/10.81 37.52/10.81 (f_288_4,1) 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (18) 37.52/10.81 Obligation: 37.52/10.81 START: 0; 37.52/10.81 37.52/10.81 FROM: 0; 37.52/10.81 TO: 1; 37.52/10.81 37.52/10.81 FROM: 1; 37.52/10.81 oldX0 := x0; 37.52/10.81 oldX1 := x1; 37.52/10.81 oldX2 := x2; 37.52/10.81 oldX3 := x3; 37.52/10.81 oldX4 := oldX2 - 1; 37.52/10.81 oldX5 := nondet(); 37.52/10.81 assume(oldX4 > -1 && oldX1 > 1 && oldX3 > 0 && oldX0 > 1 && oldX2 = 1 + oldX4); 37.52/10.81 x0 := oldX0; 37.52/10.81 x1 := 1 + oldX4; 37.52/10.81 x2 := oldX2 - 1; 37.52/10.81 x3 := oldX5; 37.52/10.81 TO: 1; 37.52/10.81 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (19) T2 (EQUIVALENT) 37.52/10.81 Initially, performed program simplifications using lexicographic rank functions: 37.52/10.81 * Removed transitions 1, 3, 4 using the following rank functions: 37.52/10.81 - Rank function 1: 37.52/10.81 RF for loc. 5: 1+2*x2 37.52/10.81 RF for loc. 6: 2*x2 37.52/10.81 Bound for (chained) transitions 3: 2 37.52/10.81 Bound for (chained) transitions 4: 2 37.52/10.81 - Rank function 2: 37.52/10.81 RF for loc. 5: 1 37.52/10.81 RF for loc. 6: 0 37.52/10.81 Bound for (chained) transitions 1: 1 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (20) 37.52/10.81 YES 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (21) 37.52/10.81 Obligation: 37.52/10.81 SCC 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (22) SCC2IRS (SOUND) 37.52/10.81 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 37.52/10.81 Generated rules. Obtained 18 rulesP rules: 37.52/10.81 f_266(v458, v459, v460, v461, v462, 1, v464, 0, v466, v467, v468, v469, 3, 4) -> f_269(v458, v459, v460, v461, v462, 1, v464, 0, v466, v467, v468, v469, 3, 4) :|: 0 = 0 37.52/10.81 f_269(v458, v459, v460, v461, v462, 1, v464, 0, v466, v467, v468, v469, 3, 4) -> f_272(v458, v459, v460, v461, v462, 1, v464, 0, v466, v467, v468, v469, 3, 4) :|: TRUE 37.52/10.81 f_272(v458, v459, v460, v461, v462, 1, v464, 0, v466, v467, v468, v469, 3, 4) -> f_275(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 4) :|: 0 = 0 37.52/10.81 f_275(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 4) -> f_278(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) :|: 0 < v466 && 2 <= v464 && 2 <= v462 37.52/10.81 f_278(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) -> f_282(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_282(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) -> f_286(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_286(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) -> f_289(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) :|: TRUE 37.52/10.81 f_289(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) -> f_292(v458, v459, v460, v461, v462, 1, v466, v575, 0, v464, v467, v468, v469, 3, 2, 4) :|: TRUE 37.52/10.81 f_292(v458, v459, v460, v461, v462, 1, v466, v575, 0, v464, v467, v468, v469, 3, 2, 4) -> f_296(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) :|: v575 = 0 37.52/10.81 f_296(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) -> f_300(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_300(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) -> f_304(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) :|: TRUE 37.52/10.81 f_304(v458, v459, v460, v461, v462, 1, v466, 0, v464, v467, v468, v469, 3, 2, 4) -> f_308(v458, v459, v460, v461, v462, 1, v466, 0, v467, v468, v469, 3, 2, 4) :|: 0 = 0 37.52/10.81 f_308(v458, v459, v460, v461, v462, 1, v466, 0, v467, v468, v469, 3, 2, 4) -> f_312(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) :|: 1 + v610 = v466 && 0 <= v610 37.52/10.81 f_312(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) -> f_316(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) :|: TRUE 37.52/10.81 f_316(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) -> f_320(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) :|: TRUE 37.52/10.81 f_320(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) -> f_324(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) :|: TRUE 37.52/10.81 f_324(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 2, 4) -> f_263(v458, v459, v460, v461, v462, 1, v466, 0, v610, v467, v468, v469, 3, 4) :|: TRUE 37.52/10.81 f_263(v458, v459, v460, v461, v462, 1, v464, 0, v466, v467, v468, v469, 3, 4) -> f_266(v458, v459, v460, v461, v462, 1, v464, 0, v466, v467, v468, v469, 3, 4) :|: 0 = 0 37.52/10.81 Combined rules. Obtained 1 rulesP rules: 37.52/10.81 f_266(v458:0, v459:0, v460:0, v461:0, v462:0, 1, v464:0, 0, 1 + v610:0, v467:0, v468:0, v469:0, 3, 4) -> f_266(v458:0, v459:0, v460:0, v461:0, v462:0, 1, 1 + v610:0, 0, v610:0, v467:0, v468:0, v469:0, 3, 4) :|: v464:0 > 1 && v610:0 > -1 && v462:0 > 1 37.52/10.81 Filtered unneeded arguments: 37.52/10.81 f_266(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> f_266(x5, x7, x9) 37.52/10.81 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 37.52/10.81 f_266(v462:0, v464:0, sum~cons_1~v610:0) -> f_266(v462:0, 1 + v610:0, v610:0) :|: v610:0 > -1 && v462:0 > 1 && v464:0 > 1 && sum~cons_1~v610:0 = 1 + v610:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (23) 37.52/10.81 Obligation: 37.52/10.81 Rules: 37.52/10.81 f_266(v462:0, v464:0, sum~cons_1~v610:0) -> f_266(v462:0, 1 + v610:0, v610:0) :|: v610:0 > -1 && v462:0 > 1 && v464:0 > 1 && sum~cons_1~v610:0 = 1 + v610:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (24) IntTRSCompressionProof (EQUIVALENT) 37.52/10.81 Compressed rules. 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (25) 37.52/10.81 Obligation: 37.52/10.81 Rules: 37.52/10.81 f_266(v462:0:0, v464:0:0, sum~cons_1~v610:0:0) -> f_266(v462:0:0, 1 + v610:0:0, v610:0:0) :|: v610:0:0 > -1 && v462:0:0 > 1 && v464:0:0 > 1 && sum~cons_1~v610:0:0 = 1 + v610:0:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (26) PolynomialOrderProcessor (EQUIVALENT) 37.52/10.81 Found the following polynomial interpretation: 37.52/10.81 [f_266(x, x1, x2)] = x2 37.52/10.81 37.52/10.81 The following rules are decreasing: 37.52/10.81 f_266(v462:0:0, v464:0:0, sum~cons_1~v610:0:0) -> f_266(v462:0:0, 1 + v610:0:0, v610:0:0) :|: v610:0:0 > -1 && v462:0:0 > 1 && v464:0:0 > 1 && sum~cons_1~v610:0:0 = 1 + v610:0:0 37.52/10.81 The following rules are bounded: 37.52/10.81 f_266(v462:0:0, v464:0:0, sum~cons_1~v610:0:0) -> f_266(v462:0:0, 1 + v610:0:0, v610:0:0) :|: v610:0:0 > -1 && v462:0:0 > 1 && v464:0:0 > 1 && sum~cons_1~v610:0:0 = 1 + v610:0:0 37.52/10.81 37.52/10.81 ---------------------------------------- 37.52/10.81 37.52/10.81 (27) 37.52/10.81 YES 37.89/10.86 EOF