/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.c # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 174 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 1492 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) AND (7) LLVM Symbolic Execution SCC (8) SCC2IRS [SOUND, 92 ms] (9) IntTRS (10) IntTRSCompressionProof [EQUIVALENT, 0 ms] (11) IntTRS (12) RankingReductionPairProof [EQUIVALENT, 0 ms] (13) IntTRS (14) IntTRSCompressionProof [EQUIVALENT, 0 ms] (15) IntTRS (16) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (17) IntTRS (18) PolynomialOrderProcessor [EQUIVALENT, 1 ms] (19) YES (20) LLVM Symbolic Execution SCC (21) SCC2IRS [SOUND, 37 ms] (22) IntTRS (23) IntTRSCompressionProof [EQUIVALENT, 0 ms] (24) IntTRS (25) RankingReductionPairProof [EQUIVALENT, 22 ms] (26) YES (27) LLVM Symbolic Execution SCC (28) SCC2IRS [SOUND, 78 ms] (29) IntTRS (30) IntTRSCompressionProof [EQUIVALENT, 0 ms] (31) IntTRS (32) RankingReductionPairProof [EQUIVALENT, 5 ms] (33) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. ---------------------------------------- (2) Obligation: LLVM Problem Aliases: Data layout: "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" Machine: "x86_64-pc-linux-gnu" Type definitions: Global variables: Function declarations and definitions: *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %i = alloca i32, align 4 %j = alloca i32, align 4 store 0, %1 %2 = call i32 @__VERIFIER_nondet_int() store %2, %i %3 = call i32 @__VERIFIER_nondet_int() store %3, %j br %4 4: %5 = load %i %6 = icmp slt %5 5 br %6, %7, %22 7: store 0, %j br %8 8: %9 = load %i %10 = icmp sgt %9 2 br %10, %11, %14 11: %12 = load %j %13 = icmp sle %12 9 br %14 14: %15 = phi [0, %8], [%13, %11] br %15, %16, %19 16: %17 = load %j %18 = add %17 1 store %18, %j br %8 19: %20 = load %i %21 = add %20 1 store %21, %i br %4 22: ret 0 Analyze Termination of all function calls matching the pattern: main() ---------------------------------------- (3) LLVMToTerminationGraphProof (EQUIVALENT) Constructed symbolic execution graph for LLVM program and proved memory safety. ---------------------------------------- (4) Obligation: SE Graph ---------------------------------------- (5) SymbolicExecutionGraphToSCCProof (SOUND) Splitted symbolic execution graph to 3 SCCs. ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: SCC ---------------------------------------- (8) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 36 rulesP rules: f_397(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1071, v1072, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 10, 2) -> f_399(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1072, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 10, 2) :|: 0 = 0 f_399(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1072, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 10, 2) -> f_401(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1112, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 2, 10) :|: v1112 = 1 + v1070 && 1 <= v1112 && v1112 <= 10 f_401(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1112, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 2, 10) -> f_403(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1112, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 2, 10) :|: TRUE f_403(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1112, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 2, 10) -> f_405(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1112, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 2, 10) :|: TRUE f_405(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1112, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 2, 10) -> f_406(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1073, v1070, v1112, v1074, v1075, v1076, 0, 3, 4, 2, 9, 10) :|: TRUE f_406(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1150, v1151, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) -> f_407(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1150, v1151, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) :|: 0 = 0 f_407(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1150, v1151, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) -> f_408(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1150, v1151, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) :|: 0 = 0 f_408(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1150, v1151, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) -> f_409(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1150, v1151, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) :|: TRUE f_409(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1150, v1151, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) -> f_410(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) :|: 0 = 0 f_410(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) -> f_411(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 8, 9) :|: v1151 <= 9 && v1150 <= 8 f_410(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 9, 10) -> f_412(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, 10, 9, v1152, v1153, v1154, 0, 3, 4, 2) :|: 9 < v1151 && v1150 = 9 && v1151 = 10 && 0 = 0 f_411(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 8, 9) -> f_413(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 8, 9) :|: 0 = 0 f_413(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 8, 9) -> f_415(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 8, 9) :|: 0 = 0 f_415(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, v1151, v1150, v1152, v1153, v1154, 0, 3, 4, 2, 8, 9) -> f_395(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1151, v1150, v1151, v1149, v1152, v1153, v1154, 0, 3, 4, 9, 10, 2) :|: TRUE f_395(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1071, v1072, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 10, 2) -> f_397(v1063, v1064, v1065, v1066, v1067, v1068, 1, v1070, v1071, v1072, v1073, v1074, v1075, v1076, 0, 3, 4, 9, 10, 2) :|: TRUE f_412(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, 10, 9, v1152, v1153, v1154, 0, 3, 4, 2) -> f_414(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, 10, 0, 9, v1152, v1153, v1154, 3, 4, 2) :|: 0 = 0 f_414(v1142, v1143, v1144, v1145, v1146, v1147, 1, v1149, 10, 0, 9, v1152, v1153, v1154, 3, 4, 2) -> f_416(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1149, 10, 9, v1152, v1153, v1154, 3, 4, 2) :|: 0 = 0 f_416(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1149, 10, 9, v1152, v1153, v1154, 3, 4, 2) -> f_417(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1149, 10, 9, v1152, v1153, v1154, 3, 4, 2) :|: TRUE f_417(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1149, 10, 9, v1152, v1153, v1154, 3, 4, 2) -> f_418(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, 10, 9, v1152, v1153, v1154, 3, 4) :|: 0 = 0 f_418(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, 10, 9, v1152, v1153, v1154, 3, 4) -> f_419(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1275, 10, 9, v1152, v1153, v1154, 3, 4, 5) :|: v1275 = 1 + v1147 && 4 <= v1275 && v1275 <= 5 f_419(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1275, 10, 9, v1152, v1153, v1154, 3, 4, 5) -> f_420(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1275, 10, 9, v1152, v1153, v1154, 3, 4, 5) :|: TRUE f_420(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1275, 10, 9, v1152, v1153, v1154, 3, 4, 5) -> f_421(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1275, 10, 9, v1152, v1153, v1154, 3, 4, 5) :|: TRUE f_421(v1142, v1143, v1144, v1145, v1146, v1147, 1, 0, v1275, 10, 9, v1152, v1153, v1154, 3, 4, 5) -> f_422(v1142, v1143, v1144, v1145, v1146, v1275, 1, v1147, 0, 10, 9, v1152, v1153, v1154, 3, 4, 5) :|: 0 = 0 f_422(v1142, v1143, v1144, v1145, v1146, v1275, 1, v1147, 0, 10, 9, v1152, v1153, v1154, 3, 4, 5) -> f_423(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) :|: v1275 < 5 && v1147 = 3 && v1275 = 4 && 0 = 0 f_423(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) -> f_425(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) :|: 0 = 0 f_425(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) -> f_427(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) :|: TRUE f_427(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) -> f_429(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) :|: TRUE f_429(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) -> f_430(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) :|: TRUE f_430(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 0, 10, 9, v1152, v1153, v1154) -> f_431(v1142, v1143, v1144, v1145, v1146, 4, 1, 3, 10, 0, 9, v1152, v1153, v1154) :|: TRUE f_431(v1309, v1310, v1311, v1312, v1313, 4, 1, 3, 10, 0, 9, v1320, v1321, v1322) -> f_432(v1309, v1310, v1311, v1312, v1313, 4, 1, 10, 0, 9, 3, v1320, v1321, v1322) :|: 0 = 0 f_432(v1309, v1310, v1311, v1312, v1313, 4, 1, 10, 0, 9, 3, v1320, v1321, v1322) -> f_433(v1309, v1310, v1311, v1312, v1313, 4, 1, 10, 0, 9, 3, v1320, v1321, v1322) :|: 0 = 0 f_433(v1309, v1310, v1311, v1312, v1313, 4, 1, 10, 0, 9, 3, v1320, v1321, v1322) -> f_434(v1309, v1310, v1311, v1312, v1313, 4, 1, 10, 0, 9, 3, v1320, v1321, v1322) :|: TRUE f_434(v1309, v1310, v1311, v1312, v1313, 4, 1, 10, 0, 9, 3, v1320, v1321, v1322) -> f_435(v1309, v1310, v1311, v1312, v1313, 4, 1, 0, 9, 10, 3, v1320, v1321, v1322) :|: 0 = 0 f_435(v1309, v1310, v1311, v1312, v1313, 4, 1, 0, 9, 10, 3, v1320, v1321, v1322) -> f_436(v1309, v1310, v1311, v1312, v1313, 4, 1, 0, 9, 10, 3, v1320, v1321, v1322) :|: 0 = 0 f_436(v1309, v1310, v1311, v1312, v1313, 4, 1, 0, 9, 10, 3, v1320, v1321, v1322) -> f_437(v1309, v1310, v1311, v1312, v1313, 4, 1, 0, 9, 10, 3, v1320, v1321, v1322) :|: 0 = 0 f_437(v1309, v1310, v1311, v1312, v1313, 4, 1, 0, 9, 10, 3, v1320, v1321, v1322) -> f_395(v1309, v1310, v1311, v1312, v1313, 4, 1, 0, 9, 10, 3, v1320, v1321, v1322, 0, 3, 4, 9, 10, 2) :|: TRUE Combined rules. Obtained 2 rulesP rules: f_397(v1063:0, v1064:0, v1065:0, v1066:0, v1067:0, v1068:0, 1, v1070:0, v1071:0, v1072:0, v1073:0, v1074:0, v1075:0, v1076:0, 0, 3, 4, 9, 10, 2) -> f_397(v1063:0, v1064:0, v1065:0, v1066:0, v1067:0, v1068:0, 1, 1 + v1070:0, v1070:0, 1 + v1070:0, v1073:0, v1074:0, v1075:0, v1076:0, 0, 3, 4, 9, 10, 2) :|: v1070:0 > -1 && v1070:0 < 10 && v1070:0 < 9 f_397(v1063:0, v1064:0, v1065:0, v1066:0, v1067:0, 3, 1, 9, v1071:0, v1072:0, v1073:0, v1074:0, v1075:0, v1076:0, 0, 3, 4, 9, 10, 2) -> f_397(v1063:0, v1064:0, v1065:0, v1066:0, v1067:0, 4, 1, 0, 9, 10, 3, v1074:0, v1075:0, v1076:0, 0, 3, 4, 9, 10, 2) :|: TRUE Filtered unneeded arguments: f_397(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_397(x6, x8) Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: f_397(v1068:0, v1070:0) -> f_397(v1068:0, 1 + v1070:0) :|: v1070:0 < 10 && v1070:0 < 9 && v1070:0 > -1 f_397(cons_3, cons_9) -> f_397(4, 0) :|: TRUE && cons_3 = 3 && cons_9 = 9 ---------------------------------------- (9) Obligation: Rules: f_397(v1068:0, v1070:0) -> f_397(v1068:0, 1 + v1070:0) :|: v1070:0 < 10 && v1070:0 < 9 && v1070:0 > -1 f_397(cons_3, cons_9) -> f_397(4, 0) :|: TRUE && cons_3 = 3 && cons_9 = 9 ---------------------------------------- (10) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (11) Obligation: Rules: f_397(v1068:0:0, v1070:0:0) -> f_397(v1068:0:0, 1 + v1070:0:0) :|: v1070:0:0 < 10 && v1070:0:0 < 9 && v1070:0:0 > -1 f_397(cons_3, cons_9) -> f_397(4, 0) :|: TRUE && cons_3 = 3 && cons_9 = 9 ---------------------------------------- (12) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f_397 ] = -1*f_397_2 + -10*f_397_1 The following rules are decreasing: f_397(v1068:0:0, v1070:0:0) -> f_397(v1068:0:0, 1 + v1070:0:0) :|: v1070:0:0 < 10 && v1070:0:0 < 9 && v1070:0:0 > -1 f_397(cons_3, cons_9) -> f_397(4, 0) :|: TRUE && cons_3 = 3 && cons_9 = 9 The following rules are bounded: f_397(cons_3, cons_9) -> f_397(4, 0) :|: TRUE && cons_3 = 3 && cons_9 = 9 ---------------------------------------- (13) Obligation: Rules: f_397(v1068:0:0, v1070:0:0) -> f_397(v1068:0:0, 1 + v1070:0:0) :|: v1070:0:0 < 10 && v1070:0:0 < 9 && v1070:0:0 > -1 ---------------------------------------- (14) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (15) Obligation: Rules: f_397(v1068:0:0:0, v1070:0:0:0) -> f_397(v1068:0:0:0, 1 + v1070:0:0:0) :|: v1070:0:0:0 < 10 && v1070:0:0:0 < 9 && v1070:0:0:0 > -1 ---------------------------------------- (16) IntTRSUnneededArgumentFilterProof (EQUIVALENT) Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: f_397(x1, x2) -> f_397(x2) ---------------------------------------- (17) Obligation: Rules: f_397(v1070:0:0:0) -> f_397(1 + v1070:0:0:0) :|: v1070:0:0:0 < 10 && v1070:0:0:0 < 9 && v1070:0:0:0 > -1 ---------------------------------------- (18) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_397(x)] = 8 - x The following rules are decreasing: f_397(v1070:0:0:0) -> f_397(1 + v1070:0:0:0) :|: v1070:0:0:0 < 10 && v1070:0:0:0 < 9 && v1070:0:0:0 > -1 The following rules are bounded: f_397(v1070:0:0:0) -> f_397(1 + v1070:0:0:0) :|: v1070:0:0:0 < 10 && v1070:0:0:0 < 9 && v1070:0:0:0 > -1 ---------------------------------------- (19) YES ---------------------------------------- (20) Obligation: SCC ---------------------------------------- (21) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 13 rulesP rules: f_289(v387, v388, v389, v390, v391, 1, v393, v394, v395, v396, v397, 0, 3, 4, 9, 10) -> f_291(v387, v388, v389, v390, v391, 1, v393, v394, v395, v396, v397, 0, 3, 4, 9, 10) :|: 0 = 0 f_291(v387, v388, v389, v390, v391, 1, v393, v394, v395, v396, v397, 0, 3, 4, 9, 10) -> f_293(v387, v388, v389, v390, v391, 1, v393, v394, v395, v396, v397, 0, 3, 4, 9, 10) :|: TRUE f_293(v387, v388, v389, v390, v391, 1, v393, v394, v395, v396, v397, 0, 3, 4, 9, 10) -> f_295(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 9, 10) :|: 0 = 0 f_295(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 9, 10) -> f_297(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) :|: v394 <= 9 && v393 <= 8 f_297(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) -> f_300(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) :|: 0 = 0 f_300(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) -> f_303(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) :|: 0 = 0 f_303(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) -> f_306(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) :|: TRUE f_306(v387, v388, v389, v390, v391, 1, v394, v393, v395, v396, v397, 0, 3, 4, 8, 9) -> f_310(v387, v388, v389, v390, v391, 1, v394, v395, v396, v397, 0, 3, 4, 9) :|: 0 = 0 f_310(v387, v388, v389, v390, v391, 1, v394, v395, v396, v397, 0, 3, 4, 9) -> f_313(v387, v388, v389, v390, v391, 1, v394, v516, v395, v396, v397, 0, 3, 4, 9, 2, 10) :|: v516 = 1 + v394 && 2 <= v516 && v516 <= 10 f_313(v387, v388, v389, v390, v391, 1, v394, v516, v395, v396, v397, 0, 3, 4, 9, 2, 10) -> f_316(v387, v388, v389, v390, v391, 1, v394, v516, v395, v396, v397, 0, 3, 4, 9, 2, 10) :|: TRUE f_316(v387, v388, v389, v390, v391, 1, v394, v516, v395, v396, v397, 0, 3, 4, 9, 2, 10) -> f_319(v387, v388, v389, v390, v391, 1, v394, v516, v395, v396, v397, 0, 3, 4, 9, 2, 10) :|: TRUE f_319(v387, v388, v389, v390, v391, 1, v394, v516, v395, v396, v397, 0, 3, 4, 9, 2, 10) -> f_287(v387, v388, v389, v390, v391, 1, v394, v516, v395, v396, v397, 0, 3, 4, 9, 10) :|: TRUE f_287(v387, v388, v389, v390, v391, 1, v393, v394, v395, v396, v397, 0, 3, 4, 9, 10) -> f_289(v387, v388, v389, v390, v391, 1, v393, v394, v395, v396, v397, 0, 3, 4, 9, 10) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_289(v387:0, v388:0, v389:0, v390:0, v391:0, 1, v393:0, v394:0, v395:0, v396:0, v397:0, 0, 3, 4, 9, 10) -> f_289(v387:0, v388:0, v389:0, v390:0, v391:0, 1, v394:0, 1 + v394:0, v395:0, v396:0, v397:0, 0, 3, 4, 9, 10) :|: v393:0 < 9 && v394:0 < 10 && v394:0 > 0 Filtered unneeded arguments: f_289(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_289(x7, x8) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_289(v393:0, v394:0) -> f_289(v394:0, 1 + v394:0) :|: v394:0 < 10 && v394:0 > 0 && v393:0 < 9 ---------------------------------------- (22) Obligation: Rules: f_289(v393:0, v394:0) -> f_289(v394:0, 1 + v394:0) :|: v394:0 < 10 && v394:0 > 0 && v393:0 < 9 ---------------------------------------- (23) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (24) Obligation: Rules: f_289(v393:0:0, v394:0:0) -> f_289(v394:0:0, 1 + v394:0:0) :|: v394:0:0 < 10 && v394:0:0 > 0 && v393:0:0 < 9 ---------------------------------------- (25) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f_289 ] = -1*f_289_2 The following rules are decreasing: f_289(v393:0:0, v394:0:0) -> f_289(v394:0:0, 1 + v394:0:0) :|: v394:0:0 < 10 && v394:0:0 > 0 && v393:0:0 < 9 The following rules are bounded: f_289(v393:0:0, v394:0:0) -> f_289(v394:0:0, 1 + v394:0:0) :|: v394:0:0 < 10 && v394:0:0 > 0 && v393:0:0 < 9 ---------------------------------------- (26) YES ---------------------------------------- (27) Obligation: SCC ---------------------------------------- (28) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 15 rulesP rules: f_209(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) -> f_211(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) :|: 0 = 0 f_211(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) -> f_213(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) :|: TRUE f_213(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) -> f_215(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) :|: TRUE f_215(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) -> f_217(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) :|: TRUE f_217(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) -> f_219(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) :|: 0 = 0 f_219(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) -> f_222(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) :|: v133 <= 2 && v130 <= 1 && v128 <= 1 f_222(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) -> f_226(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) :|: 0 = 0 f_226(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) -> f_229(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) :|: 0 = 0 f_229(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) -> f_232(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) :|: TRUE f_232(v125, v126, v127, v128, v129, v133, 1, 0, v130, v134, v135, v136, 3, 2, 4) -> f_235(v125, v126, v127, v128, v129, v133, 1, 0, v134, v135, v136, 3, 2, 4) :|: 0 = 0 f_235(v125, v126, v127, v128, v129, v133, 1, 0, v134, v135, v136, 3, 2, 4) -> f_238(v125, v126, v127, v128, v129, v133, 1, 0, v178, v134, v135, v136, 3, 2, 4) :|: v178 = 1 + v133 && v178 <= 3 f_238(v125, v126, v127, v128, v129, v133, 1, 0, v178, v134, v135, v136, 3, 2, 4) -> f_241(v125, v126, v127, v128, v129, v133, 1, 0, v178, v134, v135, v136, 3, 2, 4) :|: TRUE f_241(v125, v126, v127, v128, v129, v133, 1, 0, v178, v134, v135, v136, 3, 2, 4) -> f_244(v125, v126, v127, v128, v129, v133, 1, 0, v178, v134, v135, v136, 3, 2, 4) :|: TRUE f_244(v125, v126, v127, v128, v129, v133, 1, 0, v178, v134, v135, v136, 3, 2, 4) -> f_207(v125, v126, v127, v128, v129, v133, 1, 0, v178, v134, v135, v136, 3, 2, 4) :|: TRUE f_207(v125, v126, v127, v128, v129, v130, 1, 0, v133, v134, v135, v136, 3, 2, 4) -> f_209(v125, v126, v127, v128, v129, v133, 1, v130, 0, v134, v135, v136, 3, 2, 4) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_209(v125:0, v126:0, v127:0, v128:0, v129:0, v133:0, 1, v130:0, 0, v134:0, v135:0, v136:0, 3, 2, 4) -> f_209(v125:0, v126:0, v127:0, v128:0, v129:0, 1 + v133:0, 1, v133:0, 0, v134:0, v135:0, v136:0, 3, 2, 4) :|: v130:0 < 2 && v133:0 < 3 && v128:0 < 2 Filtered unneeded arguments: f_209(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_209(x4, x6, x8) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_209(v128:0, v133:0, v130:0) -> f_209(v128:0, 1 + v133:0, v133:0) :|: v133:0 < 3 && v128:0 < 2 && v130:0 < 2 ---------------------------------------- (29) Obligation: Rules: f_209(v128:0, v133:0, v130:0) -> f_209(v128:0, 1 + v133:0, v133:0) :|: v133:0 < 3 && v128:0 < 2 && v130:0 < 2 ---------------------------------------- (30) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (31) Obligation: Rules: f_209(v128:0:0, v133:0:0, v130:0:0) -> f_209(v128:0:0, 1 + v133:0:0, v133:0:0) :|: v133:0:0 < 3 && v128:0:0 < 2 && v130:0:0 < 2 ---------------------------------------- (32) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f_209 ] = -1*f_209_2 The following rules are decreasing: f_209(v128:0:0, v133:0:0, v130:0:0) -> f_209(v128:0:0, 1 + v133:0:0, v133:0:0) :|: v133:0:0 < 3 && v128:0:0 < 2 && v130:0:0 < 2 The following rules are bounded: f_209(v128:0:0, v133:0:0, v130:0:0) -> f_209(v128:0:0, 1 + v133:0:0, v133:0:0) :|: v133:0:0 < 3 && v128:0:0 < 2 && v130:0:0 < 2 ---------------------------------------- (33) YES