/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 176 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 2497 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 27 ms] (8) IntTRS (9) PolynomialOrderProcessor [EQUIVALENT, 11 ms] (10) 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: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %2 = alloca i32, align 4 %3 = alloca i32, align 4 %c = alloca i32, align 4 store %x, %1 store %y, %2 store %z, %3 store 0, %c br %4 4: %5 = load %1 %6 = load %2 %7 = load %3 %8 = add %6 %7 %9 = icmp sgt %5 %8 br %9, %10, %17 10: %11 = load %2 %12 = add %11 1 store %12, %2 %13 = load %3 %14 = add %13 1 store %14, %3 %15 = load %c %16 = add %15 1 store %16, %c br %4 17: %18 = load %c ret %18 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 store 0, %1 %2 = call i32 @__VERIFIER_nondet_int() %3 = call i32 @__VERIFIER_nondet_int() %4 = call i32 @__VERIFIER_nondet_int() %5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4) ret %5 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 18 rulesP rules: f_259(v143, v144, v145, v146, v147, v148, v149, v150, v151, v152, 1, v154, v155, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_260(v143, v144, v145, v146, v147, v148, v149, v154, v151, v152, 1, v150, v155, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: 0 = 0 f_260(v143, v144, v145, v146, v147, v148, v149, v154, v151, v152, 1, v150, v155, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_261(v143, v144, v145, v146, v147, v148, v149, v154, v155, v152, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: 0 = 0 f_261(v143, v144, v145, v146, v147, v148, v149, v154, v155, v152, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_262(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: v165 = v154 + v155 f_262(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_263(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: v165 < v143 f_263(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_265(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: 0 = 0 f_265(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_267(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: TRUE f_267(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v150, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_269(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: 0 = 0 f_269(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_271(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: v166 = 1 + v154 f_271(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_273(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: TRUE f_273(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v151, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_274(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: 0 = 0 f_274(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_275(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: v168 = 1 + v155 f_275(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_276(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: TRUE f_276(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_277(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: 0 = 0 f_277(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_278(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v170, v158, v159, v160, v161, v162, v163, 0, 3, 4, 2) :|: v170 = 1 + v157 && 2 <= v170 f_278(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v170, v158, v159, v160, v161, v162, v163, 0, 3, 4, 2) -> f_279(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v170, v158, v159, v160, v161, v162, v163, 0, 3, 4, 2) :|: TRUE f_279(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v170, v158, v159, v160, v161, v162, v163, 0, 3, 4, 2) -> f_280(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v170, v158, v159, v160, v161, v162, v163, 0, 3, 4, 2) :|: TRUE f_280(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v170, v158, v159, v160, v161, v162, v163, 0, 3, 4, 2) -> f_258(v143, v144, v145, v146, v147, v148, v149, v154, v155, v165, 1, v166, v168, v157, v170, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: TRUE f_258(v143, v144, v145, v146, v147, v148, v149, v150, v151, v152, 1, v154, v155, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) -> f_259(v143, v144, v145, v146, v147, v148, v149, v150, v151, v152, 1, v154, v155, v156, v157, v158, v159, v160, v161, v162, v163, 0, 3, 4) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_259(v143:0, v144:0, v145:0, v146:0, v147:0, v148:0, v149:0, v150:0, v151:0, v152:0, 1, v154:0, v155:0, v156:0, v157:0, v158:0, v159:0, v160:0, v161:0, v162:0, v163:0, 0, 3, 4) -> f_259(v143:0, v144:0, v145:0, v146:0, v147:0, v148:0, v149:0, v154:0, v155:0, v154:0 + v155:0, 1, 1 + v154:0, 1 + v155:0, v157:0, 1 + v157:0, v158:0, v159:0, v160:0, v161:0, v162:0, v163:0, 0, 3, 4) :|: v157:0 > 0 && v154:0 + v155:0 < v143:0 Filtered unneeded arguments: f_259(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_259(x1, x12, x13, x15) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_259(v143:0, v154:0, v155:0, v157:0) -> f_259(v143:0, 1 + v154:0, 1 + v155:0, 1 + v157:0) :|: v157:0 > 0 && v154:0 + v155:0 < v143:0 ---------------------------------------- (8) Obligation: Rules: f_259(v143:0, v154:0, v155:0, v157:0) -> f_259(v143:0, 1 + v154:0, 1 + v155:0, 1 + v157:0) :|: v157:0 > 0 && v154:0 + v155:0 < v143:0 ---------------------------------------- (9) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_259(x, x1, x2, x3)] = -2 + x - x1 - x2 + x3 The following rules are decreasing: f_259(v143:0, v154:0, v155:0, v157:0) -> f_259(v143:0, 1 + v154:0, 1 + v155:0, 1 + v157:0) :|: v157:0 > 0 && v154:0 + v155:0 < v143:0 The following rules are bounded: f_259(v143:0, v154:0, v155:0, v157:0) -> f_259(v143:0, 1 + v154:0, 1 + v155:0, 1 + v157:0) :|: v157:0 > 0 && v154:0 + v155:0 < v143:0 ---------------------------------------- (10) YES