/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 179 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 5889 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 76 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) RankingReductionPairProof [EQUIVALENT, 28 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) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%x_ref = alloca *i32, align 8
		%y_ref = alloca *i32, align 8
		%c = alloca *i32, align 8
		store %x, %1
		store %y, %2
		%3 = alloca i8, numElementsLit: 4
		%4 = bitcast *i8 %3 to *i32
		store %4, %x_ref
		%5 = alloca i8, numElementsLit: 4
		%6 = bitcast *i8 %5 to *i32
		store %6, %y_ref
		%7 = alloca i8, numElementsLit: 4
		%8 = bitcast *i8 %7 to *i32
		store %8, %c
		%9 = load %1
		%10 = load %x_ref
		store %9, %10
		%11 = load %2
		%12 = load %y_ref
		store %11, %12
		%13 = load %c
		store 0, %13
		br %14
	14:
		%15 = load %x_ref
		%16 = load %15
		%17 = load %y_ref
		%18 = load %17
		%19 = icmp sgt %16 %18
		br %19, %20, %33
	20:
		%21 = load %x_ref
		%22 = load %21
		%23 = sub %22 1
		%24 = load %x_ref
		store %23, %24
		%25 = load %y_ref
		%26 = load %25
		%27 = add %26 1
		%28 = load %y_ref
		store %27, %28
		%29 = load %c
		%30 = load %29
		%31 = add %30 1
		%32 = load %c
		store %31, %32
		br %14
	33:
		%34 = load %c
		%35 = load %34
		ret %35

*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 @test_fun(i32 %2, i32 %3)
		ret %4


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 24 rulesP rules:
f_412(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v216, v217, 1, v219, v220, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_413(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v217, 1, v216, v220, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_413(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v217, 1, v216, v220, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_414(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v217, 1, v216, v220, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_414(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v217, 1, v216, v220, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_415(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_415(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_416(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: v220 < v219
f_416(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_418(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_418(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_420(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: TRUE
f_420(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_422(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_422(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v216, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_424(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_424(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_426(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 1 + v234 = v219
f_426(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_428(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_428(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_429(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: TRUE
f_429(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_430(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_430(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v217, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_431(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_431(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_432(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: v236 = 1 + v220
f_432(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_433(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_433(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_434(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: TRUE
f_434(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_435(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_435(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_436(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
f_436(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_437(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) :|: v238 = 1 + v222 && 2 <= v238
f_437(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) -> f_438(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_438(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) -> f_439(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) :|: TRUE
f_439(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) -> f_440(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) :|: TRUE
f_440(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8, 2) -> f_411(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v219, v220, 1, v234, v236, v222, v238, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: TRUE
f_411(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v216, v217, 1, v219, v220, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) -> f_412(v206, v207, v208, v209, v210, v211, v212, v213, v214, v215, v216, v217, 1, v219, v220, v221, v222, v223, v224, v225, v226, v227, v228, v229, v230, v231, v232, 0, 3, 7, 4, 8) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_412(v206:0, v207:0, v208:0, v209:0, v210:0, v211:0, v212:0, v213:0, v214:0, v215:0, v216:0, v217:0, 1, 1 + v234:0, v220:0, v221:0, v222:0, v223:0, v224:0, v225:0, v226:0, v227:0, v228:0, v229:0, v230:0, v231:0, v232:0, 0, 3, 7, 4, 8) -> f_412(v206:0, v207:0, v208:0, v209:0, v210:0, v211:0, v212:0, v213:0, v214:0, v215:0, 1 + v234:0, v220:0, 1, v234:0, 1 + v220:0, v222:0, 1 + v222:0, v223:0, v224:0, v225:0, v226:0, v227:0, v228:0, v229:0, v230:0, v231:0, v232:0, 0, 3, 7, 4, 8) :|: v222:0 > 0 && v220:0 < 1 + v234:0
Filtered unneeded arguments:
   f_412(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) -> f_412(x14, x15, x17)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_412(sum~cons_1~v234:0, v220:0, v222:0) -> f_412(v234:0, 1 + v220:0, 1 + v222:0) :|: v222:0 > 0 && v220:0 < 1 + v234:0 && sum~cons_1~v234:0 = 1 + v234:0

----------------------------------------

(8)
Obligation:
Rules:
f_412(sum~cons_1~v234:0, v220:0, v222:0) -> f_412(v234:0, 1 + v220:0, 1 + v222:0) :|: v222:0 > 0 && v220:0 < 1 + v234:0 && sum~cons_1~v234:0 = 1 + v234:0

----------------------------------------

(9) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(10)
Obligation:
Rules:
f_412(sum~cons_1~v234:0:0, v220:0:0, v222:0:0) -> f_412(v234:0:0, 1 + v220:0:0, 1 + v222:0:0) :|: v222:0:0 > 0 && v220:0:0 < 1 + v234:0:0 && sum~cons_1~v234:0:0 = 1 + v234:0:0

----------------------------------------

(11) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_412 ] = -1/2*f_412_2 + 1/2*f_412_1

The following rules are decreasing:
f_412(sum~cons_1~v234:0:0, v220:0:0, v222:0:0) -> f_412(v234:0:0, 1 + v220:0:0, 1 + v222:0:0) :|: v222:0:0 > 0 && v220:0:0 < 1 + v234:0:0 && sum~cons_1~v234:0:0 = 1 + v234:0:0

The following rules are bounded:
f_412(sum~cons_1~v234:0:0, v220:0:0, v222:0:0) -> f_412(v234:0:0, 1 + v220:0:0, 1 + v222:0:0) :|: v222:0:0 > 0 && v220:0:0 < 1 + v234:0:0 && sum~cons_1~v234:0:0 = 1 + v234:0:0


----------------------------------------

(12)
YES