31.02/9.13 YES 31.02/9.14 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 31.02/9.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 31.02/9.14 31.02/9.14 31.02/9.14 Termination of the given C Problem could be proven: 31.02/9.14 31.02/9.14 (0) C Problem 31.02/9.14 (1) CToLLVMProof [EQUIVALENT, 177 ms] 31.02/9.14 (2) LLVM problem 31.02/9.14 (3) LLVMToTerminationGraphProof [EQUIVALENT, 1492 ms] 31.02/9.14 (4) LLVM Symbolic Execution Graph 31.02/9.14 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 31.02/9.14 (6) AND 31.02/9.14 (7) LLVM Symbolic Execution SCC 31.02/9.14 (8) SCC2IRS [SOUND, 146 ms] 31.02/9.14 (9) IntTRS 31.02/9.14 (10) IRS2T2 [EQUIVALENT, 0 ms] 31.02/9.14 (11) T2IntSys 31.02/9.14 (12) T2 [EQUIVALENT, 1014 ms] 31.02/9.14 (13) YES 31.02/9.14 (14) LLVM Symbolic Execution SCC 31.02/9.14 (15) SCC2IRS [SOUND, 73 ms] 31.02/9.14 (16) IntTRS 31.02/9.14 (17) IRS2T2 [EQUIVALENT, 5 ms] 31.02/9.14 (18) T2IntSys 31.02/9.14 (19) T2 [EQUIVALENT, 813 ms] 31.02/9.14 (20) YES 31.02/9.14 (21) LLVM Symbolic Execution SCC 31.02/9.14 (22) SCC2IRS [SOUND, 92 ms] 31.02/9.14 (23) IntTRS 31.02/9.14 (24) IRS2T2 [EQUIVALENT, 1 ms] 31.02/9.14 (25) T2IntSys 31.02/9.14 (26) T2 [EQUIVALENT, 453 ms] 31.02/9.14 (27) YES 31.02/9.14 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (0) 31.02/9.14 Obligation: 31.02/9.14 c file /export/starexec/sandbox/benchmark/theBenchmark.c 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (1) CToLLVMProof (EQUIVALENT) 31.02/9.14 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (2) 31.02/9.14 Obligation: 31.02/9.14 LLVM Problem 31.02/9.14 31.02/9.14 Aliases: 31.02/9.14 31.02/9.14 Data layout: 31.02/9.14 31.02/9.14 "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" 31.02/9.14 31.02/9.14 Machine: 31.02/9.14 31.02/9.14 "x86_64-pc-linux-gnu" 31.02/9.14 31.02/9.14 Type definitions: 31.02/9.14 31.02/9.14 Global variables: 31.02/9.14 31.02/9.14 Function declarations and definitions: 31.02/9.14 31.02/9.14 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 31.02/9.14 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 31.02/9.14 0: 31.02/9.14 %1 = alloca i32, align 4 31.02/9.14 %x = alloca *i32, align 8 31.02/9.14 %y = alloca *i32, align 8 31.02/9.14 store 0, %1 31.02/9.14 %2 = alloca i8, numElementsLit: 4 31.02/9.14 %3 = bitcast *i8 %2 to *i32 31.02/9.14 store %3, %x 31.02/9.14 %4 = alloca i8, numElementsLit: 4 31.02/9.14 %5 = bitcast *i8 %4 to *i32 31.02/9.14 store %5, %y 31.02/9.14 br %6 31.02/9.14 6: 31.02/9.14 %7 = load %x 31.02/9.14 %8 = load %7 31.02/9.14 %9 = icmp sgt %8 0 31.02/9.14 br %9, %10, %14 31.02/9.14 10: 31.02/9.14 %11 = load %y 31.02/9.14 %12 = load %11 31.02/9.14 %13 = icmp sgt %12 0 31.02/9.14 br %14 31.02/9.14 14: 31.02/9.14 %15 = phi [0, %6], [%13, %10] 31.02/9.14 br %15, %16, %32 31.02/9.14 16: 31.02/9.14 %17 = call i32 @__VERIFIER_nondet_int() 31.02/9.14 %18 = icmp ne %17 0 31.02/9.14 br %18, %19, %24 31.02/9.14 19: 31.02/9.14 %20 = load %x 31.02/9.14 %21 = load %20 31.02/9.14 %22 = sub %21 1 31.02/9.14 %23 = load %x 31.02/9.14 store %22, %23 31.02/9.14 br %31 31.02/9.14 24: 31.02/9.14 %25 = call i32 @__VERIFIER_nondet_int() 31.02/9.14 %26 = load %x 31.02/9.14 store %25, %26 31.02/9.14 %27 = load %y 31.02/9.14 %28 = load %27 31.02/9.14 %29 = sub %28 1 31.02/9.14 %30 = load %y 31.02/9.14 store %29, %30 31.02/9.14 br %31 31.02/9.14 31: 31.02/9.14 br %6 31.02/9.14 32: 31.02/9.14 %33 = load %1 31.02/9.14 ret %33 31.02/9.14 31.02/9.14 31.02/9.14 Analyze Termination of all function calls matching the pattern: 31.02/9.14 main() 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (3) LLVMToTerminationGraphProof (EQUIVALENT) 31.02/9.14 Constructed symbolic execution graph for LLVM program and proved memory safety. 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (4) 31.02/9.14 Obligation: 31.02/9.14 SE Graph 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (5) SymbolicExecutionGraphToSCCProof (SOUND) 31.02/9.14 Splitted symbolic execution graph to 3 SCCs. 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (6) 31.02/9.14 Complex Obligation (AND) 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (7) 31.02/9.14 Obligation: 31.02/9.14 SCC 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (8) SCC2IRS (SOUND) 31.02/9.14 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 31.02/9.14 Generated rules. Obtained 58 rulesP rules: 31.02/9.14 f_283(v1, v3, v5, v7, v10, v234, 1, v15, 0, v13, v26, v266, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_287(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_287(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_291(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 < v266 && 2 <= v15 31.02/9.14 f_291(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_295(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_295(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_298(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_298(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_301(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_301(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_304(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_304(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_307(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: v960 != 0 31.02/9.14 f_304(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_308(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: v960 = 0 31.02/9.14 f_307(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_311(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_311(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_315(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_315(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_318(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v234, v15, v2, v4, v6, v8, v11, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_318(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1034, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_321(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1034, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_321(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1034, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_323(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_323(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_325(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 1 + v1084 = v1030 && 0 <= v1084 31.02/9.14 f_325(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_327(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_327(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_329(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_329(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_331(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_331(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_332(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1036, v1037, v1084, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_332(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_334(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_334(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_336(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_336(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_338(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_338(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_340(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 < v1126 && 2 <= v1120 && 2 <= v1124 31.02/9.14 f_340(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_343(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_343(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_346(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_346(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_349(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_349(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_353(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_353(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_357(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_357(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_360(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_360(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_361(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_361(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_362(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_362(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_363(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: v1583 != 0 31.02/9.14 f_362(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_364(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: v1583 = 0 31.02/9.14 f_363(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_365(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_365(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_367(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_367(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_318(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1120, v1126, v1124, v1125, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_364(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) -> f_366(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_366(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) -> f_368(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_368(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) -> f_320(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1120, v1126, v1124, v1125, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_320(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1076, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_322(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_322(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_324(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_324(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_326(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_326(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_328(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_328(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_330(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_330(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_333(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 1 + v1133 = v1072 && 0 <= v1133 31.02/9.14 f_333(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_335(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_335(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_337(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_337(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_339(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_339(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_342(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_342(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_345(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_345(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_348(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_348(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_351(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 < v1083 31.02/9.14 f_351(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_355(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0 31.02/9.14 f_355(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_358(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 f_358(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_279(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_279(v1, v3, v5, v7, v10, v234, 1, v15, 0, v13, v26, v266, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_283(v1, v3, v5, v7, v10, v234, 1, v15, 0, v13, v26, v266, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_308(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_312(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_312(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_316(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_316(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_320(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v234, v15, v2, v4, v6, v8, v11, 3, 7, 2, 4, 8) :|: TRUE 31.02/9.14 Combined rules. Obtained 6 rulesP rules: 31.02/9.14 f_283(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v1084:0, 1, v15:0, 0, v13:0, v26:0, v266:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) -> f_362(v1:0, v3:0, v5:0, v7:0, v10:0, v1084:0, 1, v266:0, v1583:0, 1 + v1084:0, v15:0, 1 + v1084:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v15:0 > 1 && v266:0 > 0 && v960:0 < 0 31.02/9.14 f_283(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v1084:0, 1, v15:0, 0, v13:0, v26:0, v266:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) -> f_362(v1:0, v3:0, v5:0, v7:0, v10:0, v1084:0, 1, v266:0, v1583:0, 1 + v1084:0, v15:0, 1 + v1084:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v15:0 > 1 && v266:0 > 0 && v960:0 > 0 31.02/9.14 f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1126:0, 1, 1 + v1133:0, 0, v1124:0, v1125:0, v1120:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) -> f_283(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1083:0, 1, 1 + v1133:0, 0, v1120:0, v1126:0, v1133:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 3, 7, 4, 8, 2) :|: v1083:0 > 0 && v1133:0 > -1 31.02/9.14 f_283(v1:0, v3:0, v5:0, v7:0, v10:0, v234:0, 1, v15:0, 0, v13:0, v26:0, 1 + v1133:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) -> f_283(v1:0, v3:0, v5:0, v7:0, v10:0, v1083:0, 1, 1 + v1133:0, 0, v13:0, v26:0, v1133:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) :|: v1133:0 > -1 && v15:0 > 1 && v1083:0 > 0 31.02/9.14 f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, 1 + v1084:0, 1, v1122:0, v1583:0, v1124:0, v1125:0, v1120:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) -> f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1084:0, 1, v1122:0, v1583:1, v1124:0, v1125:0, 1 + v1084:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v1583:0 < 0 && v1124:0 > 1 31.02/9.14 f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, 1 + v1084:0, 1, v1122:0, v1583:0, v1124:0, v1125:0, v1120:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) -> f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1084:0, 1, v1122:0, v1583:1, v1124:0, v1125:0, 1 + v1084:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v1583:0 > 0 && v1124:0 > 1 31.02/9.14 Filtered unneeded arguments: 31.02/9.14 f_283(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_283(x6, x8, x12) 31.02/9.14 f_362(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_362(x6, x8, x9, x10) 31.02/9.14 Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules: 31.02/9.14 f_283(sum~cons_1~v1084:0, v15:0, v266:0) -> f_362(v1084:0, v266:0, v1583:0, 1 + v1084:0) :|: v15:0 > 1 && v266:0 > 0 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0 31.02/9.14 f_362(v1126:0, sum~cons_1~v1133:0, cons_0, v1124:0) -> f_283(v1083:0, 1 + v1133:0, v1133:0) :|: v1083:0 > 0 && v1133:0 > -1 && sum~cons_1~v1133:0 = 1 + v1133:0 && cons_0 = 0 31.02/9.14 f_283(v234:0, v15:0, sum~cons_1~v1133:0) -> f_283(v1083:0, 1 + v1133:0, v1133:0) :|: v15:0 > 1 && v1083:0 > 0 && v1133:0 > -1 && sum~cons_1~v1133:0 = 1 + v1133:0 31.02/9.14 f_362(sum~cons_1~v1084:0, v1122:0, v1583:0, v1124:0) -> f_362(v1084:0, v1122:0, v1583:1, v1124:0) :|: v1583:0 < 0 && v1124:0 > 1 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0 31.02/9.14 f_362(sum~cons_1~v1084:0, v1122:0, v1583:0, v1124:0) -> f_362(v1084:0, v1122:0, v1583:1, v1124:0) :|: v1583:0 > 0 && v1124:0 > 1 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (9) 31.02/9.14 Obligation: 31.02/9.14 Rules: 31.02/9.14 f_283(sum~cons_1~v1084:0, v15:0, v266:0) -> f_362(v1084:0, v266:0, v1583:0, 1 + v1084:0) :|: v15:0 > 1 && v266:0 > 0 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0 31.02/9.14 f_362(v1126:0, sum~cons_1~v1133:0, cons_0, v1124:0) -> f_283(v1083:0, 1 + v1133:0, v1133:0) :|: v1083:0 > 0 && v1133:0 > -1 && sum~cons_1~v1133:0 = 1 + v1133:0 && cons_0 = 0 31.02/9.14 f_283(x, x1, x2) -> f_283(x3, 1 + x4, x4) :|: x1 > 1 && x3 > 0 && x4 > -1 && x2 = 1 + x4 31.02/9.14 f_362(x5, x6, x7, x8) -> f_362(x9, x6, x10, x8) :|: x7 < 0 && x8 > 1 && x9 > 0 && x5 = 1 + x9 31.02/9.14 f_362(x11, x12, x13, x14) -> f_362(x15, x12, x16, x14) :|: x13 > 0 && x14 > 1 && x15 > 0 && x11 = 1 + x15 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (10) IRS2T2 (EQUIVALENT) 31.02/9.14 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 31.02/9.14 31.02/9.14 (f_283_4,1) 31.02/9.14 (f_362_4,2) 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (11) 31.02/9.14 Obligation: 31.02/9.14 START: 0; 31.02/9.14 31.02/9.14 FROM: 0; 31.02/9.14 TO: 1; 31.02/9.14 31.02/9.14 FROM: 0; 31.02/9.14 TO: 2; 31.02/9.14 31.02/9.14 FROM: 1; 31.02/9.14 oldX0 := x0; 31.02/9.14 oldX1 := x1; 31.02/9.14 oldX2 := x2; 31.02/9.14 oldX3 := x3; 31.02/9.14 oldX4 := oldX0 - 1; 31.02/9.14 oldX5 := nondet(); 31.02/9.14 assume(oldX1 > 1 && oldX2 > 0 && oldX4 > 0 && oldX0 = 1 + oldX4); 31.02/9.14 x0 := oldX0 - 1; 31.02/9.14 x1 := oldX2; 31.02/9.14 x2 := oldX5; 31.02/9.14 x3 := 1 + oldX4; 31.02/9.14 TO: 2; 31.02/9.14 31.02/9.14 FROM: 2; 31.02/9.14 oldX0 := x0; 31.02/9.14 oldX1 := x1; 31.02/9.14 oldX2 := x2; 31.02/9.14 oldX3 := x3; 31.02/9.14 oldX5 := oldX1 - 1; 31.02/9.14 oldX4 := nondet(); 31.02/9.14 oldX6 := nondet(); 31.02/9.14 assume(oldX4 > 0 && oldX5 > -1 && oldX1 = 1 + oldX5 && oldX2 = 0); 31.02/9.14 x0 := oldX4; 31.02/9.14 x1 := 1 + oldX5; 31.02/9.14 x2 := oldX1 - 1; 31.02/9.14 x3 := oldX6; 31.02/9.14 TO: 1; 31.02/9.14 31.02/9.14 FROM: 1; 31.02/9.14 oldX0 := x0; 31.02/9.14 oldX1 := x1; 31.02/9.14 oldX2 := x2; 31.02/9.14 oldX3 := x3; 31.02/9.14 oldX5 := oldX2 - 1; 31.02/9.14 oldX4 := nondet(); 31.02/9.14 oldX6 := nondet(); 31.02/9.14 assume(oldX1 > 1 && oldX4 > 0 && oldX5 > -1 && oldX2 = 1 + oldX5); 31.02/9.14 x0 := oldX4; 31.02/9.14 x1 := 1 + oldX5; 31.02/9.14 x2 := oldX2 - 1; 31.02/9.14 x3 := oldX6; 31.02/9.14 TO: 1; 31.02/9.14 31.02/9.14 FROM: 2; 31.02/9.14 oldX0 := x0; 31.02/9.14 oldX1 := x1; 31.02/9.14 oldX2 := x2; 31.02/9.14 oldX3 := x3; 31.02/9.14 oldX4 := oldX0 - 1; 31.02/9.14 oldX5 := nondet(); 31.02/9.14 assume(oldX2 < 0 && oldX3 > 1 && oldX4 > 0 && oldX0 = 1 + oldX4); 31.02/9.14 x0 := oldX0 - 1; 31.02/9.14 x1 := oldX1; 31.02/9.14 x2 := oldX5; 31.02/9.14 x3 := oldX3; 31.02/9.14 TO: 2; 31.02/9.14 31.02/9.14 FROM: 2; 31.02/9.14 oldX0 := x0; 31.02/9.14 oldX1 := x1; 31.02/9.14 oldX2 := x2; 31.02/9.14 oldX3 := x3; 31.02/9.14 oldX4 := oldX0 - 1; 31.02/9.14 oldX5 := nondet(); 31.02/9.14 assume(oldX2 > 0 && oldX3 > 1 && oldX4 > 0 && oldX0 = 1 + oldX4); 31.02/9.14 x0 := oldX0 - 1; 31.02/9.14 x1 := oldX1; 31.02/9.14 x2 := oldX5; 31.02/9.14 x3 := oldX3; 31.02/9.14 TO: 2; 31.02/9.14 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (12) T2 (EQUIVALENT) 31.02/9.14 Initially, performed program simplifications using lexicographic rank functions: 31.02/9.14 * Removed transitions 2, 5, 6, 14, 17, 18, 19 using the following rank functions: 31.02/9.14 - Rank function 1: 31.02/9.14 RF for loc. 6: 2+4*x2 31.02/9.14 RF for loc. 7: 4*x1 31.02/9.14 RF for loc. 8: 1+4*x2 31.02/9.14 RF for loc. 12: 4*x1 31.02/9.14 Bound for (chained) transitions 5: 5 31.02/9.14 Bound for (chained) transitions 6: 5 31.02/9.14 Bound for (chained) transitions 17: 4 31.02/9.14 - Rank function 2: 31.02/9.14 RF for loc. 6: 0 31.02/9.14 RF for loc. 7: 1+2*x0 31.02/9.14 RF for loc. 8: -1 31.02/9.14 RF for loc. 12: 2*x0 31.02/9.14 Bound for (chained) transitions 2: 0 31.02/9.14 Bound for (chained) transitions 18: 4 31.02/9.14 - Rank function 3: 31.02/9.14 RF for loc. 7: 2*x0 31.02/9.14 RF for loc. 12: -1+2*x0 31.02/9.14 Bound for (chained) transitions 19: 3 31.02/9.14 - Rank function 4: 31.02/9.14 RF for loc. 7: 0 31.02/9.14 RF for loc. 12: -1 31.02/9.14 Bound for (chained) transitions 14: 0 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (13) 31.02/9.14 YES 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (14) 31.02/9.14 Obligation: 31.02/9.14 SCC 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (15) SCC2IRS (SOUND) 31.02/9.14 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 31.02/9.14 Generated rules. Obtained 26 rulesP rules: 31.02/9.14 f_189(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_192(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_192(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_195(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_195(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_198(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 < v25 31.02/9.14 f_198(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_202(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_202(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_205(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_205(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_208(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_208(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_211(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_211(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_214(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 < v29 && 2 <= v15 31.02/9.14 f_214(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_218(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_218(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_222(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_222(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_226(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_226(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_230(v1, v3, v5, v7, v10, v25, 1, v29, v235, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_230(v1, v3, v5, v7, v10, v25, 1, v29, v235, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_235(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: v235 = 0 31.02/9.14 f_235(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_239(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_239(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_243(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_243(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_247(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_247(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_251(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_251(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_255(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_255(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_258(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_258(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_261(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_261(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_264(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 1 + v363 = v29 && 0 <= v363 31.02/9.14 f_264(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_267(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_267(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_270(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_270(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_274(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_274(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_186(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_186(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_189(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE 31.02/9.14 Combined rules. Obtained 1 rulesP rules: 31.02/9.14 f_189(v1:0, v3:0, v5:0, v7:0, v10:0, v13:0, 1, v15:0, 0, v25:0, 1 + v363:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8) -> f_189(v1:0, v3:0, v5:0, v7:0, v10:0, v25:0, 1, 1 + v363:0, 0, v257:0, v363:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8) :|: v25:0 > 0 && v15:0 > 1 && v363:0 > -1 31.02/9.14 Filtered unneeded arguments: 31.02/9.14 f_189(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_189(x8, x10, x11) 31.02/9.14 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 31.02/9.14 f_189(v15:0, v25:0, sum~cons_1~v363:0) -> f_189(1 + v363:0, v257:0, v363:0) :|: v15:0 > 1 && v363:0 > -1 && v25:0 > 0 && sum~cons_1~v363:0 = 1 + v363:0 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (16) 31.02/9.14 Obligation: 31.02/9.14 Rules: 31.02/9.14 f_189(v15:0, v25:0, sum~cons_1~v363:0) -> f_189(1 + v363:0, v257:0, v363:0) :|: v15:0 > 1 && v363:0 > -1 && v25:0 > 0 && sum~cons_1~v363:0 = 1 + v363:0 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (17) IRS2T2 (EQUIVALENT) 31.02/9.14 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 31.02/9.14 31.02/9.14 (f_189_3,1) 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (18) 31.02/9.14 Obligation: 31.02/9.14 START: 0; 31.02/9.14 31.02/9.14 FROM: 0; 31.02/9.14 TO: 1; 31.02/9.14 31.02/9.14 FROM: 1; 31.02/9.14 oldX0 := x0; 31.02/9.14 oldX1 := x1; 31.02/9.14 oldX2 := x2; 31.02/9.14 oldX3 := oldX2 - 1; 31.02/9.14 oldX4 := nondet(); 31.02/9.14 assume(oldX0 > 1 && oldX3 > -1 && oldX1 > 0 && oldX2 = 1 + oldX3); 31.02/9.14 x0 := 1 + oldX3; 31.02/9.14 x1 := oldX4; 31.02/9.14 x2 := oldX2 - 1; 31.02/9.14 TO: 1; 31.02/9.14 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (19) T2 (EQUIVALENT) 31.02/9.14 Initially, performed program simplifications using lexicographic rank functions: 31.02/9.14 * Removed transitions 1, 3, 4 using the following rank functions: 31.02/9.14 - Rank function 1: 31.02/9.14 RF for loc. 5: 1+2*x2 31.02/9.14 RF for loc. 6: 2*x2 31.02/9.14 Bound for (chained) transitions 3: 2 31.02/9.14 Bound for (chained) transitions 4: 2 31.02/9.14 - Rank function 2: 31.02/9.14 RF for loc. 5: 1 31.02/9.14 RF for loc. 6: 0 31.02/9.14 Bound for (chained) transitions 1: 1 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (20) 31.02/9.14 YES 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (21) 31.02/9.14 Obligation: 31.02/9.14 SCC 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (22) SCC2IRS (SOUND) 31.02/9.14 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 31.02/9.14 Generated rules. Obtained 22 rulesP rules: 31.02/9.14 f_183(v1, v3, v5, v7, v10, v13, 1, v15, v24, v26, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_185(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_185(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_187(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 < v26 && 2 <= v13 31.02/9.14 f_187(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_190(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_190(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_193(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_193(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_196(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_196(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_200(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_200(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_204(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_204(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_207(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_207(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_210(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_210(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_213(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_213(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_216(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: v124 != 0 31.02/9.14 f_216(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_220(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_220(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_224(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE 31.02/9.14 f_224(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_228(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0 31.02/9.14 f_228(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_232(v1, v3, v5, v7, v10, v26, 1, v15, v124, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_232(v1, v3, v5, v7, v10, v26, 1, v15, v124, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_236(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 1 + v236 = v26 && 0 <= v236 31.02/9.14 f_236(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_240(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 f_240(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_244(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_244(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_248(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_248(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_252(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_252(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_181(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE 31.02/9.14 f_181(v1, v3, v5, v7, v10, v13, 1, v15, v24, v26, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_183(v1, v3, v5, v7, v10, v13, 1, v15, v24, v26, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0 31.02/9.14 Combined rules. Obtained 2 rulesP rules: 31.02/9.14 f_183(v1:0, v3:0, v5:0, v7:0, v10:0, v13:0, 1, v15:0, v24:0, 1 + v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) -> f_183(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v236:0, 1, v15:0, v124:0, v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) :|: v13:0 > 1 && v236:0 > -1 && v124:0 < 0 31.02/9.14 f_183(v1:0, v3:0, v5:0, v7:0, v10:0, v13:0, 1, v15:0, v24:0, 1 + v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) -> f_183(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v236:0, 1, v15:0, v124:0, v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) :|: v13:0 > 1 && v236:0 > -1 && v124:0 > 0 31.02/9.14 Filtered unneeded arguments: 31.02/9.14 f_183(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_183(x6, x10) 31.02/9.14 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 31.02/9.14 f_183(v13:0, sum~cons_1~v236:0) -> f_183(1 + v236:0, v236:0) :|: v13:0 > 1 && v236:0 > -1 && sum~cons_1~v236:0 = 1 + v236:0 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (23) 31.02/9.14 Obligation: 31.02/9.14 Rules: 31.02/9.14 f_183(v13:0, sum~cons_1~v236:0) -> f_183(1 + v236:0, v236:0) :|: v13:0 > 1 && v236:0 > -1 && sum~cons_1~v236:0 = 1 + v236:0 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (24) IRS2T2 (EQUIVALENT) 31.02/9.14 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 31.02/9.14 31.02/9.14 (f_183_2,1) 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (25) 31.02/9.14 Obligation: 31.02/9.14 START: 0; 31.02/9.14 31.02/9.14 FROM: 0; 31.02/9.14 TO: 1; 31.02/9.14 31.02/9.14 FROM: 1; 31.02/9.14 oldX0 := x0; 31.02/9.14 oldX1 := x1; 31.02/9.14 oldX2 := oldX1 - 1; 31.02/9.14 assume(oldX0 > 1 && oldX2 > -1 && oldX1 = 1 + oldX2); 31.02/9.14 x0 := 1 + oldX2; 31.02/9.14 x1 := oldX1 - 1; 31.02/9.14 TO: 1; 31.02/9.14 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (26) T2 (EQUIVALENT) 31.02/9.14 Initially, performed program simplifications using lexicographic rank functions: 31.02/9.14 * Removed transitions 1, 3, 4 using the following rank functions: 31.02/9.14 - Rank function 1: 31.02/9.14 RF for loc. 5: 1+2*x1 31.02/9.14 RF for loc. 6: 2*x1 31.02/9.14 Bound for (chained) transitions 3: 2 31.02/9.14 Bound for (chained) transitions 4: 2 31.02/9.14 - Rank function 2: 31.02/9.14 RF for loc. 5: 0 31.02/9.14 RF for loc. 6: -1 31.02/9.14 Bound for (chained) transitions 1: 0 31.02/9.14 31.02/9.14 ---------------------------------------- 31.02/9.14 31.02/9.14 (27) 31.02/9.14 YES 31.44/9.19 EOF