/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 6844 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 205 ms]
(8) IntTRS
(9) TerminationGraphProcessor [EQUIVALENT, 41 ms]
(10) IntTRS
(11) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(12) IntTRS
(13) PolynomialOrderProcessor [EQUIVALENT, 9 ms]
(14) 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_error" returnParam: BasicVoidType parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "fibo" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		store %n, %2
		%3 = load %2
		%4 = icmp slt %3 1
		br %4, %5, %6
	5:
		store 0, %1
		br %18
	6:
		%7 = load %2
		%8 = icmp eq %7 1
		br %8, %9, %10
	9:
		store 1, %1
		br %18
	10:
		%11 = load %2
		%12 = sub %11 1
		%13 = call i32 @fibo(i32 %12)
		%14 = load %2
		%15 = sub %14 2
		%16 = call i32 @fibo(i32 %15)
		%17 = add %13 %16
		store %17, %1
		br %18
	18:
		%19 = load %1
		ret %19

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%x = alloca i32, align 4
		%result = alloca i32, align 4
		store 0, %1
		store 5, %x
		%2 = load %x
		%3 = call i32 @fibo(i32 %2)
		store %3, %result
		%4 = load %result
		%5 = icmp eq %4 5
		br %5, %6, %8
	6:
		br %7
	7:
		Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error()
		br %8
	8:
		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 48 rulesP rules:
f_200(v85, v94, v86, v87, v88, v89, v90, v91, v95, 0, 5, 3, 1, 4) -> f_201(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) :|: 1 <= v96 && v97 = 3 + v96 && 4 <= v97
f_201(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) -> f_202(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) :|: TRUE
f_202(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) -> f_203(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) :|: 0 = 0
f_203(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) -> f_205(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) :|: 1 <= v85
f_205(v85, v94, v96, v86, v87, v88, v89, v90, v91, v95, v97, 0, 5, 3, 1, 4) -> f_207(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 4) :|: 0 = 0
f_207(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 4) -> f_209(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 4) :|: TRUE
f_209(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 4) -> f_211(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 4) :|: 0 = 0
f_211(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 4) -> f_214(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) :|: v85 != 1 && 2 <= v85 && v85 <= 5
f_214(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) -> f_217(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) :|: 0 = 0
f_217(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) -> f_220(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) :|: TRUE
f_220(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) -> f_222(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) :|: 0 = 0
f_222(v85, v94, v96, 0, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 2, 1, 4) -> f_224(v85, v94, v96, 0, v109, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 1 + v109 = v85 && 1 <= v109 && v109 <= 4
f_224(v85, v94, v96, 0, v109, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: 0 = 0
f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_228(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_230(1, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, 2, 3, 4) :|: TRUE
f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_546(v109, v1105, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_576(v109, v1194, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_617(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_656(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
f_226(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_678(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
f_228(v109, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_199(v109, v86, v87, v88, v89, v90, v91, 0, 5, 3, 1, 4) :|: TRUE
f_199(v85, v86, v87, v88, v89, v90, v91, 0, 5, 3, 1, 4) -> f_200(v85, v94, v86, v87, v88, v89, v90, v91, v95, 0, 5, 3, 1, 4) :|: 1 <= v94 && v95 = 3 + v94 && 4 <= v95
f_230(1, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, 2, 3, 4) -> f_231(2, v94, v96, 0, 1, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 4) :|: 0 = 0
f_231(2, v94, v96, 0, 1, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 4) -> f_232(2, v94, v96, 0, 1, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 4) :|: 0 = 0
f_232(2, v94, v96, 0, 1, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 4) -> f_233(2, v94, v96, 0, 1, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 4) :|: 0 = 0
f_233(2, v94, v96, 0, 1, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 4) -> f_234(0, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 5, 2, 1, 3, 4) :|: 0 = 0
f_234(0, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 5, 2, 1, 3, 4) -> f_235(0, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 5, 2, 3, 1, 4) :|: TRUE
f_235(0, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 5, 2, 3, 1, 4) -> f_199(0, v86, v87, v88, v89, v90, v91, 0, 5, 3, 1, 4) :|: TRUE
f_546(v109, v1105, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_553(v85, v94, v96, 0, v109, v1105, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 0 = 0
f_553(v85, v94, v96, 0, v109, v1105, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_556(v85, v94, v96, 0, v109, v1105, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 0 = 0
f_556(v85, v94, v96, 0, v109, v1105, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_559(v85, v94, v96, 0, v109, v1105, v1120, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 2 + v1120 = v85 && 0 <= v1120 && v1120 <= 3
f_559(v85, v94, v96, 0, v109, v1105, v1120, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_563(v1120, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, v109, v1105, 3, 1, 2, 4) :|: 0 = 0
f_563(v1120, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, v109, v1105, 3, 1, 2, 4) -> f_567(v1120, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 2, 1, 4) :|: TRUE
f_567(v1120, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 2, 1, 4) -> f_199(v1120, v86, v87, v88, v89, v90, v91, 0, 5, 3, 1, 4) :|: TRUE
f_576(v109, v1194, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_583(v85, v94, v96, 0, v109, v1194, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 0 = 0
f_583(v85, v94, v96, 0, v109, v1194, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_589(v85, v94, v96, 0, v109, v1194, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 0 = 0
f_589(v85, v94, v96, 0, v109, v1194, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_595(v85, v94, v96, 0, v109, v1194, v1214, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 2 + v1214 = v85 && 0 <= v1214 && v1214 <= 3
f_595(v85, v94, v96, 0, v109, v1194, v1214, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_602(v1214, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, v109, v1194, 3, 1, 2, 4) :|: 0 = 0
f_602(v1214, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, v109, v1194, 3, 1, 2, 4) -> f_609(v1214, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 2, 1, 4) :|: TRUE
f_609(v1214, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 2, 1, 4) -> f_199(v1214, v86, v87, v88, v89, v90, v91, 0, 5, 3, 1, 4) :|: TRUE
f_617(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_624(v85, v94, v96, 0, v109, v1329, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 0 = 0
f_624(v85, v94, v96, 0, v109, v1329, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_631(v85, v94, v96, 0, v109, v1329, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 0 = 0
f_631(v85, v94, v96, 0, v109, v1329, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_638(v85, v94, v96, 0, v109, v1329, v1387, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) :|: 2 + v1387 = v85 && 0 <= v1387 && v1387 <= 3
f_638(v85, v94, v96, 0, v109, v1329, v1387, v86, v87, v88, v89, v90, v91, v95, v97, 5, 3, 1, 2, 4) -> f_646(v1387, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, v109, v1329, 3, 1, 2, 4) :|: 0 = 0
f_646(v1387, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, v109, v1329, 3, 1, 2, 4) -> f_654(v1387, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 2, 1, 4) :|: TRUE
f_654(v1387, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 2, 1, 4) -> f_199(v1387, v86, v87, v88, v89, v90, v91, 0, 5, 3, 1, 4) :|: TRUE
f_656(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_617(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
f_678(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) -> f_656(v109, v1329, v86, v87, v88, v89, v90, v91, v94, v95, v96, v97, 0, 5, v85, 3, 1, 2, 4) :|: TRUE
Combined rules. Obtained 3 rulesP rules:
f_200(1 + v109:0, v94:0, v86:0, v87:0, v88:0, v89:0, v90:0, v91:0, v95:0, 0, 5, 3, 1, 4) -> f_200(v109:0, v94:1, v86:0, v87:0, v88:0, v89:0, v90:0, v91:0, 3 + v94:1, 0, 5, 3, 1, 4) :|: v109:0 > 0 && v96:0 > 0 && v109:0 < 5 && v94:1 > 0
f_200(2 + v1120:0, v94:0, v86:0, v87:0, v88:0, v89:0, v90:0, v91:0, v95:0, 0, 5, 3, 1, 4) -> f_200(v1120:0, v94:1, v86:0, v87:0, v88:0, v89:0, v90:0, v91:0, 3 + v94:1, 0, 5, 3, 1, 4) :|: v1120:0 > -1 && v96:0 > 0 && v1120:0 < 4 && v109:0 > 0 && 2 + v1120:0 = 1 + v109:0 && v109:0 < 5 && v94:1 > 0
f_200(1 + v109:0, v94:0, v86:0, v87:0, v88:0, v89:0, v90:0, v91:0, v95:0, 0, 5, 3, 1, 4) -> f_200(0, v94:1, v86:0, v87:0, v88:0, v89:0, v90:0, v91:0, 3 + v94:1, 0, 5, 3, 1, 4) :|: v109:0 > 0 && v96:0 > 0 && v109:0 < 5 && v94:1 > 0
Filtered unneeded arguments:
   f_200(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> f_200(x1)
Removed division, modulo operations, cleaned up constraints. Obtained 3 rules.P rules:
f_200(sum~cons_1~v109:0) -> f_200(v109:0) :|: v109:0 > 0 && v109:0 < 5 && sum~cons_1~v109:0 = 1 + v109:0
f_200(sum~cons_2~v1120:0) -> f_200(v1120:0) :|: v1120:0 > -1 && v1120:0 < 4 && sum~cons_2~v1120:0 = 2 + v1120:0
f_200(sum~cons_1~v109:0) -> f_200(0) :|: v109:0 > 0 && v109:0 < 5 && sum~cons_1~v109:0 = 1 + v109:0

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

(8)
Obligation:
Rules:
f_200(sum~cons_1~v109:0) -> f_200(v109:0) :|: v109:0 > 0 && v109:0 < 5 && sum~cons_1~v109:0 = 1 + v109:0
f_200(sum~cons_2~v1120:0) -> f_200(v1120:0) :|: v1120:0 > -1 && v1120:0 < 4 && sum~cons_2~v1120:0 = 2 + v1120:0
f_200(x) -> f_200(0) :|: x1 > 0 && x1 < 5 && x = 1 + x1

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

(9) TerminationGraphProcessor (EQUIVALENT)
Constructed the termination graph and obtained one non-trivial SCC.

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

(10)
Obligation:
Rules:
f_200(sum~cons_1~v109:0) -> f_200(v109:0) :|: v109:0 > 0 && v109:0 < 5 && sum~cons_1~v109:0 = 1 + v109:0
f_200(sum~cons_2~v1120:0) -> f_200(v1120:0) :|: v1120:0 > -1 && v1120:0 < 4 && sum~cons_2~v1120:0 = 2 + v1120:0

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

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

(12)
Obligation:
Rules:
f_200(sum~cons_2~v1120:0:0) -> f_200(v1120:0:0) :|: v1120:0:0 > -1 && v1120:0:0 < 4 && sum~cons_2~v1120:0:0 = 2 + v1120:0:0
f_200(sum~cons_1~v109:0:0) -> f_200(v109:0:0) :|: v109:0:0 > 0 && v109:0:0 < 5 && sum~cons_1~v109:0:0 = 1 + v109:0:0

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(13) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_200(x)] = x

The following rules are decreasing:
f_200(sum~cons_2~v1120:0:0) -> f_200(v1120:0:0) :|: v1120:0:0 > -1 && v1120:0:0 < 4 && sum~cons_2~v1120:0:0 = 2 + v1120:0:0
f_200(sum~cons_1~v109:0:0) -> f_200(v109:0:0) :|: v109:0:0 > 0 && v109:0:0 < 5 && sum~cons_1~v109:0:0 = 1 + v109:0:0
The following rules are bounded:
f_200(sum~cons_2~v1120:0:0) -> f_200(v1120:0:0) :|: v1120:0:0 > -1 && v1120:0:0 < 4 && sum~cons_2~v1120:0:0 = 2 + v1120:0:0
f_200(sum~cons_1~v109:0:0) -> f_200(v109:0:0) :|: v109:0:0 > 0 && v109:0:0 < 5 && sum~cons_1~v109:0:0 = 1 + v109:0:0

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(14)
YES