/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 173 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 3285 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 123 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) PolynomialOrderProcessor [EQUIVALENT, 14 ms] (12) 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: "llvm.stacksave" returnParam: *i8 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc *BasicFunctionTypename: "llvm.stackrestore" returnParam: BasicVoidType parameters: (*i8) 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 %a_length = alloca i32, align 4 %2 = alloca *i8 %offset = alloca i32, align 4 %i = alloca i32, align 4 %3 = alloca i32 store 0, %1 %4 = call i32 @__VERIFIER_nondet_int() store %4, %a_length %5 = load %a_length %6 = icmp slt %5 1 br %6, %7, %8 7: store 0, %1 br %35 8: %9 = load %a_length %10 = zext i32 %9 to i64 %11 = call *i8 @llvm.stacksave() store %11, %2 %12 = alloca i32, numElementsLit: %10, align 16 store 1, %offset store 0, %i br %13 13: %14 = load %i %15 = load %a_length %16 = icmp slt %14 %15 br %16, %17, %33 17: %18 = load %i %19 = sext i32 %18 to i64 %20 = getelementptr %12, %19 %21 = load %20 %22 = icmp slt %21 0 br %22, %23, %24 23: br %33 24: %25 = load %i %26 = load %offset %27 = add %25 %26 %28 = load %i %29 = sext i32 %28 to i64 %30 = getelementptr %12, %29 %31 = load %30 %32 = add %27 %31 store %32, %i br %13 33: store 0, %1 store 1, %3 %34 = load %2 Unnamed Call-Instruction = call BasicVoidType @llvm.stackrestore(*i8 %34) br %35 35: %36 = load %1 ret %36 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 1 SCC. ---------------------------------------- (6) Obligation: SCC ---------------------------------------- (7) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 23 rulesP rules: f_298(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) -> f_299(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) :|: 0 = 0 f_299(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) -> f_300(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: v158 < v149 && 2 <= v149 && 8 <= v165 f_300(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_302(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: 0 = 0 f_302(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_304(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: TRUE f_304(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_306(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: 0 = 0 f_306(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_308(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v155, v156, v153, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: 0 = 0 f_308(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v155, v156, v153, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_310(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v156, v153, v157, v155, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: v167 = v152 + 4 * v158 && 5 <= v167 f_310(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v156, v153, v157, v155, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_312(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: TRUE f_312(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_315(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 <= v168 f_315(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_318(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0 f_318(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_321(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: TRUE f_321(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_323(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0 f_323(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_325(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0 f_325(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_327(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: v191 = 1 + v158 && 2 <= v191 f_327(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_329(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0 f_329(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_331(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0 f_331(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_333(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v156, v159, v160, v161, v162, v163, v164, v165, v166, v155, 3, 7, 4, 2, 8, 5) :|: v167 = v152 + 4 * v158 f_333(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v156, v159, v160, v161, v162, v163, v164, v165, v166, v155, 3, 7, 4, 2, 8, 5) -> f_335(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: 0 = 0 f_335(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_336(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: v213 = v191 + v168 && 2 <= v213 f_336(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_337(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: TRUE f_337(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_338(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: TRUE f_338(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_297(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) :|: TRUE f_297(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v153, 1, v155, v156, v157, v158, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) -> f_298(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_298(v143:0, v144:0, v145:0, v146:0, v147:0, v148:0, v149:0, 0, v151:0, v152:0, v158:0, 1, v153:0, v155:0, v156:0, v157:0, v159:0, v160:0, v161:0, v162:0, v163:0, v164:0, v165:0, v166:0, 3, 7, 4, 8) -> f_298(v143:0, v144:0, v145:0, v146:0, v147:0, v148:0, v149:0, 0, v151:0, v152:0, 1 + v158:0 + v168:0, 1, v158:0, v152:0 + 4 * v158:0, v168:0, 1 + v158:0, v159:0, v160:0, v161:0, v162:0, v163:0, v164:0, v165:0, v166:0, 3, 7, 4, 8) :|: v149:0 > 1 && v158:0 < v149:0 && v165:0 > 7 && v152:0 + 4 * v158:0 > 4 && v168:0 > -1 && 1 + v158:0 + v168:0 > 1 && v158:0 > 0 Filtered unneeded arguments: f_298(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) -> f_298(x7, x10, x11, x23) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_298(v149:0, v152:0, v158:0, v165:0) -> f_298(v149:0, v152:0, 1 + v158:0 + v168:0, v165:0) :|: v158:0 < v149:0 && v149:0 > 1 && v165:0 > 7 && v152:0 + 4 * v158:0 > 4 && v168:0 > -1 && v158:0 > 0 && 1 + v158:0 + v168:0 > 1 ---------------------------------------- (8) Obligation: Rules: f_298(v149:0, v152:0, v158:0, v165:0) -> f_298(v149:0, v152:0, 1 + v158:0 + v168:0, v165:0) :|: v158:0 < v149:0 && v149:0 > 1 && v165:0 > 7 && v152:0 + 4 * v158:0 > 4 && v168:0 > -1 && v158:0 > 0 && 1 + v158:0 + v168:0 > 1 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (10) Obligation: Rules: f_298(v149:0:0, v152:0:0, v158:0:0, v165:0:0) -> f_298(v149:0:0, v152:0:0, 1 + v158:0:0 + v168:0:0, v165:0:0) :|: v158:0:0 > 0 && 1 + v158:0:0 + v168:0:0 > 1 && v168:0:0 > -1 && v152:0:0 + 4 * v158:0:0 > 4 && v165:0:0 > 7 && v149:0:0 > 1 && v158:0:0 < v149:0:0 ---------------------------------------- (11) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_298(x, x1, x2, x3)] = x - x2 The following rules are decreasing: f_298(v149:0:0, v152:0:0, v158:0:0, v165:0:0) -> f_298(v149:0:0, v152:0:0, 1 + v158:0:0 + v168:0:0, v165:0:0) :|: v158:0:0 > 0 && 1 + v158:0:0 + v168:0:0 > 1 && v168:0:0 > -1 && v152:0:0 + 4 * v158:0:0 > 4 && v165:0:0 > 7 && v149:0:0 > 1 && v158:0:0 < v149:0:0 The following rules are bounded: f_298(v149:0:0, v152:0:0, v158:0:0, v165:0:0) -> f_298(v149:0:0, v152:0:0, 1 + v158:0:0 + v168:0:0, v165:0:0) :|: v158:0:0 > 0 && 1 + v158:0:0 + v168:0:0 > 1 && v168:0:0 > -1 && v152:0:0 + 4 * v158:0:0 > 4 && v165:0:0 > 7 && v149:0:0 > 1 && v158:0:0 < v149:0:0 ---------------------------------------- (12) YES