27.80/8.49 YES 28.90/8.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 28.90/8.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 28.90/8.96 28.90/8.96 28.90/8.96 Termination of the given C Problem could be proven: 28.90/8.96 28.90/8.96 (0) C Problem 28.90/8.96 (1) CToLLVMProof [EQUIVALENT, 173 ms] 28.90/8.96 (2) LLVM problem 28.90/8.96 (3) LLVMToTerminationGraphProof [EQUIVALENT, 2905 ms] 28.90/8.96 (4) LLVM Symbolic Execution Graph 28.90/8.96 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 28.90/8.96 (6) AND 28.90/8.96 (7) LLVM Symbolic Execution SCC 28.90/8.96 (8) SCC2IRS [SOUND, 47 ms] 28.90/8.96 (9) IntTRS 28.90/8.96 (10) IRS2T2 [EQUIVALENT, 0 ms] 28.90/8.96 (11) T2IntSys 28.90/8.96 (12) T2 [EQUIVALENT, 523 ms] 28.90/8.96 (13) YES 28.90/8.96 (14) LLVM Symbolic Execution SCC 28.90/8.96 (15) SCC2IRS [SOUND, 48 ms] 28.90/8.96 (16) IntTRS 28.90/8.96 (17) IRS2T2 [EQUIVALENT, 0 ms] 28.90/8.96 (18) T2IntSys 28.90/8.96 (19) T2 [EQUIVALENT, 484 ms] 28.90/8.96 (20) YES 28.90/8.96 (21) LLVM Symbolic Execution SCC 28.90/8.96 (22) SCC2IRS [SOUND, 71 ms] 28.90/8.96 (23) IntTRS 28.90/8.96 (24) IRS2T2 [EQUIVALENT, 0 ms] 28.90/8.96 (25) T2IntSys 28.90/8.96 (26) T2 [EQUIVALENT, 524 ms] 28.90/8.96 (27) YES 28.90/8.96 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (0) 28.90/8.96 Obligation: 28.90/8.96 c file /export/starexec/sandbox/benchmark/theBenchmark.c 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (1) CToLLVMProof (EQUIVALENT) 28.90/8.96 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (2) 28.90/8.96 Obligation: 28.90/8.96 LLVM Problem 28.90/8.96 28.90/8.96 Aliases: 28.90/8.96 28.90/8.96 Data layout: 28.90/8.96 28.90/8.96 "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" 28.90/8.96 28.90/8.96 Machine: 28.90/8.96 28.90/8.96 "x86_64-pc-linux-gnu" 28.90/8.96 28.90/8.96 Type definitions: 28.90/8.96 28.90/8.96 Global variables: 28.90/8.96 28.90/8.96 Function declarations and definitions: 28.90/8.96 28.90/8.96 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 28.90/8.96 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 28.90/8.96 0: 28.90/8.96 %1 = alloca i32, align 4 28.90/8.96 %2 = alloca i32, align 4 28.90/8.96 %c = alloca i32, align 4 28.90/8.96 store %x, %1 28.90/8.96 store %y, %2 28.90/8.96 store 0, %c 28.90/8.96 br %3 28.90/8.96 3: 28.90/8.96 %4 = load %1 28.90/8.96 %5 = icmp sgt %4 0 28.90/8.96 br %5, %6, %20 28.90/8.96 6: 28.90/8.96 br %7 28.90/8.96 7: 28.90/8.96 %8 = load %2 28.90/8.96 %9 = icmp sgt %8 0 28.90/8.96 br %9, %10, %15 28.90/8.96 10: 28.90/8.96 %11 = load %2 28.90/8.96 %12 = sub %11 1 28.90/8.96 store %12, %2 28.90/8.96 %13 = load %c 28.90/8.96 %14 = add %13 1 28.90/8.96 store %14, %c 28.90/8.96 br %7 28.90/8.96 15: 28.90/8.96 %16 = load %1 28.90/8.96 %17 = sub %16 1 28.90/8.96 store %17, %1 28.90/8.96 %18 = load %c 28.90/8.96 %19 = add %18 1 28.90/8.96 store %19, %c 28.90/8.96 br %3 28.90/8.96 20: 28.90/8.96 %21 = load %c 28.90/8.96 ret %21 28.90/8.96 28.90/8.96 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 28.90/8.96 0: 28.90/8.96 %1 = alloca i32, align 4 28.90/8.96 store 0, %1 28.90/8.96 %2 = call i32 @__VERIFIER_nondet_int() 28.90/8.96 %3 = call i32 @__VERIFIER_nondet_int() 28.90/8.96 %4 = call i32 @test_fun(i32 %2, i32 %3) 28.90/8.96 ret %4 28.90/8.96 28.90/8.96 28.90/8.96 Analyze Termination of all function calls matching the pattern: 28.90/8.96 main() 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (3) LLVMToTerminationGraphProof (EQUIVALENT) 28.90/8.96 Constructed symbolic execution graph for LLVM program and proved memory safety. 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (4) 28.90/8.96 Obligation: 28.90/8.96 SE Graph 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (5) SymbolicExecutionGraphToSCCProof (SOUND) 28.90/8.96 Splitted symbolic execution graph to 3 SCCs. 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (6) 28.90/8.96 Complex Obligation (AND) 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (7) 28.90/8.96 Obligation: 28.90/8.96 SCC 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (8) SCC2IRS (SOUND) 28.90/8.96 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 28.90/8.96 Generated rules. Obtained 16 rulesP rules: 28.90/8.96 f_449(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_450(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 0 < v451 && 2 <= v446 && 2 <= v441 28.90/8.96 f_450(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_452(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_452(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_454(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: TRUE 28.90/8.96 f_454(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_456(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: TRUE 28.90/8.96 f_456(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_458(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_458(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_460(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_460(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_461(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: TRUE 28.90/8.96 f_461(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_462(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_462(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_463(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 1 + v475 = v451 && 0 <= v475 28.90/8.96 f_463(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_464(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: TRUE 28.90/8.96 f_464(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_465(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_465(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_466(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v477, v454, v455, v456, v457, v458, 3, 2, 4) :|: v477 = 1 + v453 && 3 <= v477 28.90/8.96 f_466(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v477, v454, v455, v456, v457, v458, 3, 2, 4) -> f_467(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v477, v454, v455, v456, v457, v458, 3, 2, 4) :|: TRUE 28.90/8.96 f_467(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v477, v454, v455, v456, v457, v458, 3, 2, 4) -> f_468(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v477, v454, v455, v456, v457, v458, 3, 2, 4) :|: TRUE 28.90/8.96 f_468(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v477, v454, v455, v456, v457, v458, 3, 2, 4) -> f_448(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v475, v453, v477, v454, v455, v456, v457, v458, 3, 2, 4) :|: TRUE 28.90/8.96 f_448(v441, v442, v443, v444, v445, v446, 1, 0, v449, v450, v451, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) -> f_449(v441, v442, v443, v444, v445, v451, 1, 0, v449, v450, v446, v452, v453, v454, v455, v456, v457, v458, 3, 2, 4) :|: 0 = 0 28.90/8.96 Combined rules. Obtained 1 rulesP rules: 28.90/8.96 f_449(v441:0, v442:0, v443:0, v444:0, v445:0, 1 + v475:0, 1, 0, v449:0, v450:0, v446:0, v452:0, v453:0, v454:0, v455:0, v456:0, v457:0, v458:0, 3, 2, 4) -> f_449(v441:0, v442:0, v443:0, v444:0, v445:0, v475:0, 1, 0, v449:0, v450:0, 1 + v475:0, v453:0, 1 + v453:0, v454:0, v455:0, v456:0, v457:0, v458:0, 3, 2, 4) :|: v446:0 > 1 && v475:0 > -1 && v441:0 > 1 && v453:0 > 1 28.90/8.96 Filtered unneeded arguments: 28.90/8.96 f_449(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_449(x1, x6, x11, x13) 28.90/8.96 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 28.90/8.96 f_449(v441:0, sum~cons_1~v475:0, v446:0, v453:0) -> f_449(v441:0, v475:0, 1 + v475:0, 1 + v453:0) :|: v475:0 > -1 && v446:0 > 1 && v453:0 > 1 && v441:0 > 1 && sum~cons_1~v475:0 = 1 + v475:0 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (9) 28.90/8.96 Obligation: 28.90/8.96 Rules: 28.90/8.96 f_449(v441:0, sum~cons_1~v475:0, v446:0, v453:0) -> f_449(v441:0, v475:0, 1 + v475:0, 1 + v453:0) :|: v475:0 > -1 && v446:0 > 1 && v453:0 > 1 && v441:0 > 1 && sum~cons_1~v475:0 = 1 + v475:0 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (10) IRS2T2 (EQUIVALENT) 28.90/8.96 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 28.90/8.96 28.90/8.96 (f_449_4,1) 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (11) 28.90/8.96 Obligation: 28.90/8.96 START: 0; 28.90/8.96 28.90/8.96 FROM: 0; 28.90/8.96 TO: 1; 28.90/8.96 28.90/8.96 FROM: 1; 28.90/8.96 oldX0 := x0; 28.90/8.96 oldX1 := x1; 28.90/8.96 oldX2 := x2; 28.90/8.96 oldX3 := x3; 28.90/8.96 oldX4 := oldX1 - 1; 28.90/8.96 assume(oldX4 > -1 && oldX2 > 1 && oldX3 > 1 && oldX0 > 1 && oldX1 = 1 + oldX4); 28.90/8.96 x0 := oldX0; 28.90/8.96 x1 := oldX1 - 1; 28.90/8.96 x2 := 1 + oldX4; 28.90/8.96 x3 := 1 + oldX3; 28.90/8.96 TO: 1; 28.90/8.96 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (12) T2 (EQUIVALENT) 28.90/8.96 Initially, performed program simplifications using lexicographic rank functions: 28.90/8.96 * Removed transitions 1, 3, 4 using the following rank functions: 28.90/8.96 - Rank function 1: 28.90/8.96 RF for loc. 5: 1+2*x1 28.90/8.96 RF for loc. 6: 2*x1 28.90/8.96 Bound for (chained) transitions 3: 2 28.90/8.96 Bound for (chained) transitions 4: 2 28.90/8.96 - Rank function 2: 28.90/8.96 RF for loc. 5: 0 28.90/8.96 RF for loc. 6: -1 28.90/8.96 Bound for (chained) transitions 1: 0 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (13) 28.90/8.96 YES 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (14) 28.90/8.96 Obligation: 28.90/8.96 SCC 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (15) SCC2IRS (SOUND) 28.90/8.96 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 28.90/8.96 Generated rules. Obtained 16 rulesP rules: 28.90/8.96 f_402(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 4) -> f_404(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: 0 < v333 && 2 <= v330 && 2 <= v325 28.90/8.96 f_404(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_407(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_407(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_410(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: TRUE 28.90/8.96 f_410(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_413(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: TRUE 28.90/8.96 f_413(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_417(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_417(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_420(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_420(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_423(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: TRUE 28.90/8.96 f_423(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_426(v325, v326, v327, v328, v329, v333, 1, 0, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_426(v325, v326, v327, v328, v329, v333, 1, 0, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_429(v325, v326, v327, v328, v329, v333, 1, 0, v390, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: 1 + v390 = v333 && 0 <= v390 28.90/8.96 f_429(v325, v326, v327, v328, v329, v333, 1, 0, v390, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_432(v325, v326, v327, v328, v329, v333, 1, 0, v390, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: TRUE 28.90/8.96 f_432(v325, v326, v327, v328, v329, v333, 1, 0, v390, v334, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_435(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v336, v337, v338, v339, v340, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_435(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v336, v337, v338, v339, v340, 3, 2, 4) -> f_437(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v399, v336, v337, v338, v339, v340, 3, 2, 4) :|: v399 = 1 + v335 && 2 <= v399 28.90/8.96 f_437(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v399, v336, v337, v338, v339, v340, 3, 2, 4) -> f_439(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v399, v336, v337, v338, v339, v340, 3, 2, 4) :|: TRUE 28.90/8.96 f_439(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v399, v336, v337, v338, v339, v340, 3, 2, 4) -> f_441(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v399, v336, v337, v338, v339, v340, 3, 2, 4) :|: TRUE 28.90/8.96 f_441(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v399, v336, v337, v338, v339, v340, 3, 2, 4) -> f_400(v325, v326, v327, v328, v329, v333, 1, 0, v390, v335, v399, v336, v337, v338, v339, v340, 3, 4) :|: TRUE 28.90/8.96 f_400(v325, v326, v327, v328, v329, v330, 1, 0, v333, v334, v335, v336, v337, v338, v339, v340, 3, 4) -> f_402(v325, v326, v327, v328, v329, v333, 1, 0, v330, v334, v335, v336, v337, v338, v339, v340, 3, 4) :|: 0 = 0 28.90/8.96 Combined rules. Obtained 1 rulesP rules: 28.90/8.96 f_402(v325:0, v326:0, v327:0, v328:0, v329:0, 1 + v390:0, 1, 0, v330:0, v334:0, v335:0, v336:0, v337:0, v338:0, v339:0, v340:0, 3, 4) -> f_402(v325:0, v326:0, v327:0, v328:0, v329:0, v390:0, 1, 0, 1 + v390:0, v335:0, 1 + v335:0, v336:0, v337:0, v338:0, v339:0, v340:0, 3, 4) :|: v330:0 > 1 && v390:0 > -1 && v325:0 > 1 && v335:0 > 0 28.90/8.96 Filtered unneeded arguments: 28.90/8.96 f_402(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_402(x1, x6, x9, x11) 28.90/8.96 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 28.90/8.96 f_402(v325:0, sum~cons_1~v390:0, v330:0, v335:0) -> f_402(v325:0, v390:0, 1 + v390:0, 1 + v335:0) :|: v390:0 > -1 && v330:0 > 1 && v335:0 > 0 && v325:0 > 1 && sum~cons_1~v390:0 = 1 + v390:0 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (16) 28.90/8.96 Obligation: 28.90/8.96 Rules: 28.90/8.96 f_402(v325:0, sum~cons_1~v390:0, v330:0, v335:0) -> f_402(v325:0, v390:0, 1 + v390:0, 1 + v335:0) :|: v390:0 > -1 && v330:0 > 1 && v335:0 > 0 && v325:0 > 1 && sum~cons_1~v390:0 = 1 + v390:0 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (17) IRS2T2 (EQUIVALENT) 28.90/8.96 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 28.90/8.96 28.90/8.96 (f_402_4,1) 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (18) 28.90/8.96 Obligation: 28.90/8.96 START: 0; 28.90/8.96 28.90/8.96 FROM: 0; 28.90/8.96 TO: 1; 28.90/8.96 28.90/8.96 FROM: 1; 28.90/8.96 oldX0 := x0; 28.90/8.96 oldX1 := x1; 28.90/8.96 oldX2 := x2; 28.90/8.96 oldX3 := x3; 28.90/8.96 oldX4 := oldX1 - 1; 28.90/8.96 assume(oldX4 > -1 && oldX2 > 1 && oldX3 > 0 && oldX0 > 1 && oldX1 = 1 + oldX4); 28.90/8.96 x0 := oldX0; 28.90/8.96 x1 := oldX1 - 1; 28.90/8.96 x2 := 1 + oldX4; 28.90/8.96 x3 := 1 + oldX3; 28.90/8.96 TO: 1; 28.90/8.96 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (19) T2 (EQUIVALENT) 28.90/8.96 Initially, performed program simplifications using lexicographic rank functions: 28.90/8.96 * Removed transitions 1, 3, 4 using the following rank functions: 28.90/8.96 - Rank function 1: 28.90/8.96 RF for loc. 5: 1+2*x1 28.90/8.96 RF for loc. 6: 2*x1 28.90/8.96 Bound for (chained) transitions 3: 2 28.90/8.96 Bound for (chained) transitions 4: 2 28.90/8.96 - Rank function 2: 28.90/8.96 RF for loc. 5: 0 28.90/8.96 RF for loc. 6: -1 28.90/8.96 Bound for (chained) transitions 1: 0 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (20) 28.90/8.96 YES 28.90/8.96 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (21) 28.90/8.96 Obligation: 28.90/8.96 SCC 28.90/8.96 ---------------------------------------- 28.90/8.96 28.90/8.96 (22) SCC2IRS (SOUND) 28.90/8.96 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 28.90/8.96 Generated rules. Obtained 12 rulesP rules: 28.90/8.96 f_339(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 4) -> f_341(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: 0 < v213 && 2 <= v212 && 2 <= v207 28.90/8.96 f_341(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_344(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_344(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_347(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: TRUE 28.90/8.96 f_347(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_350(v206, v207, v208, v209, v210, 1, v213, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: 0 = 0 28.90/8.96 f_350(v206, v207, v208, v209, v210, 1, v213, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_354(v206, v207, v208, v209, v210, 1, v213, v250, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: 1 + v250 = v213 && 0 <= v250 28.90/8.96 f_354(v206, v207, v208, v209, v210, 1, v213, v250, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_357(v206, v207, v208, v209, v210, 1, v213, v250, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: TRUE 28.90/8.96 f_357(v206, v207, v208, v209, v210, 1, v213, v250, v214, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_361(v206, v207, v208, v209, v210, 1, v213, v250, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: 0 = 0 28.90/8.97 f_361(v206, v207, v208, v209, v210, 1, v213, v250, v215, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_365(v206, v207, v208, v209, v210, 1, v213, v250, v215, v254, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: v254 = 1 + v215 && 2 <= v254 28.90/8.97 f_365(v206, v207, v208, v209, v210, 1, v213, v250, v215, v254, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_369(v206, v207, v208, v209, v210, 1, v213, v250, v215, v254, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: TRUE 28.90/8.97 f_369(v206, v207, v208, v209, v210, 1, v213, v250, v215, v254, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_373(v206, v207, v208, v209, v210, 1, v213, v250, v215, v254, v216, v217, v218, v219, v220, 0, 3, 2, 4) :|: TRUE 28.90/8.97 f_373(v206, v207, v208, v209, v210, 1, v213, v250, v215, v254, v216, v217, v218, v219, v220, 0, 3, 2, 4) -> f_337(v206, v207, v208, v209, v210, 1, v213, v250, v215, v254, v216, v217, v218, v219, v220, 0, 3, 4) :|: TRUE 28.90/8.97 f_337(v206, v207, v208, v209, v210, 1, v212, v213, v214, v215, v216, v217, v218, v219, v220, 0, 3, 4) -> f_339(v206, v207, v208, v209, v210, 1, v213, v212, v214, v215, v216, v217, v218, v219, v220, 0, 3, 4) :|: 0 = 0 28.90/8.97 Combined rules. Obtained 1 rulesP rules: 28.90/8.97 f_339(v206:0, v207:0, v208:0, v209:0, v210:0, 1, 1 + v250:0, v212:0, v214:0, v215:0, v216:0, v217:0, v218:0, v219:0, v220:0, 0, 3, 4) -> f_339(v206:0, v207:0, v208:0, v209:0, v210:0, 1, v250:0, 1 + v250:0, v215:0, 1 + v215:0, v216:0, v217:0, v218:0, v219:0, v220:0, 0, 3, 4) :|: v212:0 > 1 && v250:0 > -1 && v207:0 > 1 && v215:0 > 0 28.90/8.97 Filtered unneeded arguments: 28.90/8.97 f_339(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_339(x2, x7, x8, x10) 28.90/8.97 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 28.90/8.97 f_339(v207:0, sum~cons_1~v250:0, v212:0, v215:0) -> f_339(v207:0, v250:0, 1 + v250:0, 1 + v215:0) :|: v250:0 > -1 && v212:0 > 1 && v215:0 > 0 && v207:0 > 1 && sum~cons_1~v250:0 = 1 + v250:0 28.90/8.97 28.90/8.97 ---------------------------------------- 28.90/8.97 28.90/8.97 (23) 28.90/8.97 Obligation: 28.90/8.97 Rules: 28.90/8.97 f_339(v207:0, sum~cons_1~v250:0, v212:0, v215:0) -> f_339(v207:0, v250:0, 1 + v250:0, 1 + v215:0) :|: v250:0 > -1 && v212:0 > 1 && v215:0 > 0 && v207:0 > 1 && sum~cons_1~v250:0 = 1 + v250:0 28.90/8.97 28.90/8.97 ---------------------------------------- 28.90/8.97 28.90/8.97 (24) IRS2T2 (EQUIVALENT) 28.90/8.97 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 28.90/8.97 28.90/8.97 (f_339_4,1) 28.90/8.97 28.90/8.97 ---------------------------------------- 28.90/8.97 28.90/8.97 (25) 28.90/8.97 Obligation: 28.90/8.97 START: 0; 28.90/8.97 28.90/8.97 FROM: 0; 28.90/8.97 TO: 1; 28.90/8.97 28.90/8.97 FROM: 1; 28.90/8.97 oldX0 := x0; 28.90/8.97 oldX1 := x1; 28.90/8.97 oldX2 := x2; 28.90/8.97 oldX3 := x3; 28.90/8.97 oldX4 := oldX1 - 1; 28.90/8.97 assume(oldX4 > -1 && oldX2 > 1 && oldX3 > 0 && oldX0 > 1 && oldX1 = 1 + oldX4); 28.90/8.97 x0 := oldX0; 28.90/8.97 x1 := oldX1 - 1; 28.90/8.97 x2 := 1 + oldX4; 28.90/8.97 x3 := 1 + oldX3; 28.90/8.97 TO: 1; 28.90/8.97 28.90/8.97 28.90/8.97 ---------------------------------------- 28.90/8.97 28.90/8.97 (26) T2 (EQUIVALENT) 28.90/8.97 Initially, performed program simplifications using lexicographic rank functions: 28.90/8.97 * Removed transitions 1, 3, 4 using the following rank functions: 28.90/8.97 - Rank function 1: 28.90/8.97 RF for loc. 5: 1+2*x1 28.90/8.97 RF for loc. 6: 2*x1 28.90/8.97 Bound for (chained) transitions 3: 2 28.90/8.97 Bound for (chained) transitions 4: 2 28.90/8.97 - Rank function 2: 28.90/8.97 RF for loc. 5: 0 28.90/8.97 RF for loc. 6: -1 28.90/8.97 Bound for (chained) transitions 1: 0 28.90/8.97 28.90/8.97 ---------------------------------------- 28.90/8.97 28.90/8.97 (27) 28.90/8.97 YES 28.90/9.02 EOF