/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 175 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 2185 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 104 ms] (8) IntTRS (9) IRS2T2 [EQUIVALENT, 0 ms] (10) T2IntSys (11) T2 [EQUIVALENT, 1102 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: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, r i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %2 = alloca i32, align 4 %3 = alloca i32, align 4 %x_ref = alloca *i32, align 8 %y_ref = alloca *i32, align 8 %r_ref = alloca *i32, align 8 store %x, %1 store %y, %2 store %r, %3 %4 = alloca i8, numElementsLit: 4 %5 = bitcast *i8 %4 to *i32 store %5, %x_ref %6 = alloca i8, numElementsLit: 4 %7 = bitcast *i8 %6 to *i32 store %7, %y_ref %8 = alloca i8, numElementsLit: 4 %9 = bitcast *i8 %8 to *i32 store %9, %r_ref store 1, %3 %10 = load %1 %11 = load %x_ref store %10, %11 %12 = load %2 %13 = load %y_ref store %12, %13 %14 = load %3 %15 = load %r_ref store %14, %15 br %16 16: %17 = load %y_ref %18 = load %17 %19 = icmp sgt %18 0 br %19, %20, %31 20: %21 = load %r_ref %22 = load %21 %23 = load %x_ref %24 = load %23 %25 = mul %22 %24 %26 = load %r_ref store %25, %26 %27 = load %y_ref %28 = load %27 %29 = sub %28 1 %30 = load %y_ref store %29, %30 br %16 31: %32 = load %r_ref %33 = load %32 ret %33 *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 19 rulesP rules: f_282(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v85, v86, v87, v88, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 4, 8) -> f_283(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 4, 8) :|: 0 = 0 f_283(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 4, 8) -> f_284(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 < v88 && 2 <= v85 && 2 <= v73 f_284(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_286(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_286(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_288(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: TRUE f_288(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_290(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_290(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v86, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_292(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_292(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_294(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_294(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_296(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_296(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_297(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: v101 = v87 * v72 f_297(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_298(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_298(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_299(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: TRUE f_299(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_300(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_300(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v85, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_301(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_301(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_302(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 1 + v103 = v88 && 0 <= v103 f_302(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_303(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: 0 = 0 f_303(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_304(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: TRUE f_304(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_305(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) :|: TRUE f_305(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 2, 4, 8) -> f_281(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v88, v87, v101, v103, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 4, 8) :|: TRUE f_281(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v85, v86, v87, v88, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 4, 8) -> f_282(v72, v73, v74, v75, v76, v77, v78, v79, v80, v81, v82, v83, 1, v85, v86, v87, v88, v89, v90, v91, v92, v93, v94, v95, v96, v97, v98, v99, 0, 3, 7, 4, 8) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_282(v72:0, v73:0, v74:0, v75:0, v76:0, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, v83:0, 1, v85:0, v86:0, v87:0, 1 + v103:0, v89:0, v90:0, v91:0, v92:0, v93:0, v94:0, v95:0, v96:0, v97:0, v98:0, v99:0, 0, 3, 7, 4, 8) -> f_282(v72:0, v73:0, v74:0, v75:0, v76:0, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, v83:0, 1, 1 + v103:0, v87:0, v87:0 * v72:0, v103:0, v89:0, v90:0, v91:0, v92:0, v93:0, v94:0, v95:0, v96:0, v97:0, v98:0, v99:0, 0, 3, 7, 4, 8) :|: v85:0 > 1 && v103:0 > -1 && v73:0 > 1 Filtered unneeded arguments: f_282(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, x29, x30, x31, x32, x33) -> f_282(x2, x14, x17) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_282(v73:0, v85:0, sum~cons_1~v103:0) -> f_282(v73:0, 1 + v103:0, v103:0) :|: v103:0 > -1 && v73:0 > 1 && v85:0 > 1 && sum~cons_1~v103:0 = 1 + v103:0 ---------------------------------------- (8) Obligation: Rules: f_282(v73:0, v85:0, sum~cons_1~v103:0) -> f_282(v73:0, 1 + v103:0, v103:0) :|: v103:0 > -1 && v73:0 > 1 && v85:0 > 1 && sum~cons_1~v103:0 = 1 + v103:0 ---------------------------------------- (9) IRS2T2 (EQUIVALENT) Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: (f_282_3,1) ---------------------------------------- (10) Obligation: START: 0; FROM: 0; TO: 1; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := oldX2 - 1; assume(oldX3 > -1 && oldX0 > 1 && oldX1 > 1 && oldX2 = 1 + oldX3); x0 := oldX0; x1 := 1 + oldX3; x2 := oldX2 - 1; TO: 1; ---------------------------------------- (11) T2 (EQUIVALENT) Initially, performed program simplifications using lexicographic rank functions: * Removed transitions 1, 3, 4 using the following rank functions: - Rank function 1: RF for loc. 5: 1+2*x2 RF for loc. 6: 2*x2 Bound for (chained) transitions 4: 2 - Rank function 2: RF for loc. 5: 2*x2 RF for loc. 6: -1+2*x2 Bound for (chained) transitions 3: 1 - Rank function 3: RF for loc. 5: 0 RF for loc. 6: -1 Bound for (chained) transitions 1: 0 ---------------------------------------- (12) YES