/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 176 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 1496 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 94 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) PolynomialOrderProcessor [EQUIVALENT, 14 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox/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 %k = alloca i32, align 4 %ell = 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 %4 = call i32 @__VERIFIER_nondet_int() store %4, %k br %5 5: %6 = load %i %7 = icmp sle %6 100 br %7, %8, %12 8: %9 = load %j %10 = load %k %11 = icmp sle %9 %10 br %12 12: %13 = phi [0, %5], [%11, %8] br %13, %14, %21 14: %15 = load %i store %15, %ell %16 = load %j store %16, %i %17 = load %ell %18 = add %17 1 store %18, %j %19 = load %k %20 = add %19 -1 store %20, %k br %5 21: 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 1 SCC. ---------------------------------------- (6) Obligation: SCC ---------------------------------------- (7) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 22 rulesP rules: f_208(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_209(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: v293 <= 100 f_209(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_211(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_211(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_213(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_213(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_215(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v294, v291, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_215(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v294, v291, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_217(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_217(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_218(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: v295 <= v296 f_218(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_220(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_220(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_222(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_222(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_224(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_224(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_226(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_226(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_227(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_227(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_228(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_228(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_229(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_229(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v291, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_230(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_230(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_231(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: v407 = 1 + v293 && v407 <= 101 f_231(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_232(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_232(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v294, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_233(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 f_233(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_234(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v409, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 1 + v409 = v296 f_234(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v409, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_235(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v409, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_235(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v409, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_236(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v409, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_236(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v409, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_207(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v295, v296, v407, v409, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: TRUE f_207(v283, v284, v285, v286, v287, v288, v289, v290, v291, 1, v293, v294, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) -> f_208(v283, v284, v285, v286, v287, v288, v289, v290, v293, 1, v294, v291, v295, v296, v297, v298, v299, v300, v301, 0, 3, 100, 101, 4) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_208(v283:0, v284:0, v285:0, v286:0, v287:0, v288:0, v289:0, v290:0, v293:0, 1, v294:0, v291:0, v295:0, 1 + v409:0, v297:0, v298:0, v299:0, v300:0, v301:0, 0, 3, 100, 101, 4) -> f_208(v283:0, v284:0, v285:0, v286:0, v287:0, v288:0, v289:0, v290:0, v295:0, 1, 1 + v409:0, v293:0, 1 + v293:0, v409:0, v297:0, v298:0, v299:0, v300:0, v301:0, 0, 3, 100, 101, 4) :|: v293:0 < 101 && v295:0 <= 1 + v409:0 Filtered unneeded arguments: f_208(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24) -> f_208(x9, x13, x14) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_208(v293:0, v295:0, sum~cons_1~v409:0) -> f_208(v295:0, 1 + v293:0, v409:0) :|: v293:0 < 101 && v295:0 <= 1 + v409:0 && sum~cons_1~v409:0 = 1 + v409:0 ---------------------------------------- (8) Obligation: Rules: f_208(v293:0, v295:0, sum~cons_1~v409:0) -> f_208(v295:0, 1 + v293:0, v409:0) :|: v293:0 < 101 && v295:0 <= 1 + v409:0 && sum~cons_1~v409:0 = 1 + v409:0 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (10) Obligation: Rules: f_208(v293:0:0, v295:0:0, sum~cons_1~v409:0:0) -> f_208(v295:0:0, 1 + v293:0:0, v409:0:0) :|: v293:0:0 < 101 && v295:0:0 <= 1 + v409:0:0 && sum~cons_1~v409:0:0 = 1 + v409:0:0 ---------------------------------------- (11) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_208(x, x1, x2)] = 100 - x - x1 + x2 The following rules are decreasing: f_208(v293:0:0, v295:0:0, sum~cons_1~v409:0:0) -> f_208(v295:0:0, 1 + v293:0:0, v409:0:0) :|: v293:0:0 < 101 && v295:0:0 <= 1 + v409:0:0 && sum~cons_1~v409:0:0 = 1 + v409:0:0 The following rules are bounded: f_208(v293:0:0, v295:0:0, sum~cons_1~v409:0:0) -> f_208(v295:0:0, 1 + v293:0:0, v409:0:0) :|: v293:0:0 < 101 && v295:0:0 <= 1 + v409:0:0 && sum~cons_1~v409:0:0 = 1 + v409:0:0 ---------------------------------------- (12) YES