/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files


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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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 178 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 3604 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 91 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) PolynomialOrderProcessor [EQUIVALENT, 11 ms]
(12) YES


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(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: "twoWay" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (terminate i32, n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%3 = alloca i32, align 4
		%m = alloca i32, align 4
		store %terminate, %2
		store %n, %3
		%4 = load %3
		%5 = icmp slt %4 0
		br %5, %6, %7
	6:
		store 1, %1
		br %23
	7:
		%8 = load %3
		store %8, %m
		%9 = load %2
		%10 = icmp ne %9 0
		br %10, %11, %14
	11:
		%12 = load %m
		%13 = add %12 -1
		store %13, %m
		br %17
	14:
		%15 = load %m
		%16 = add %15 1
		store %16, %m
		br %17
	17:
		%18 = load %m
		%19 = load %2
		%20 = load %m
		%21 = call i32 @twoWay(i32 %19, i32 %20)
		%22 = mul %18 %21
		store %22, %1
		br %23
	23:
		%24 = load %1
		ret %24

*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
		%y = alloca i32, align 4
		%z = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %x
		%3 = load %x
		%4 = icmp slt %3 0
		br %4, %5, %6
	5:
		store 0, %1
		br %15
	6:
		%7 = call i32 @__VERIFIER_nondet_int()
		store %7, %y
		%8 = load %y
		%9 = icmp slt %8 0
		br %9, %10, %11
	10:
		store 0, %1
		br %15
	11:
		%12 = call i32 @__VERIFIER_nondet_int()
		store %12, %z
		%13 = load %x
		%14 = call i32 @twoWay(i32 1, i32 %13)
		br %15
	15:
		%16 = load %1
		ret %16


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 25 rulesP rules:
f_275(1, v78, v91, v79, v80, v81, v82, v83, v84, v85, v86, v92, 0, v88, v89, v90, 3, 4) -> f_276(1, v78, v91, v93, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, 0, v88, v89, v90, 3, 4) :|: 1 <= v93 && v94 = 3 + v93 && 4 <= v94
f_276(1, v78, v91, v93, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, 0, v88, v89, v90, 3, 4) -> f_277(1, v78, v91, v93, v95, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, 0, v88, v89, v90, 3, 4) :|: 1 <= v95 && v96 = 3 + v95 && 4 <= v96
f_277(1, v78, v91, v93, v95, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, 0, v88, v89, v90, 3, 4) -> f_278(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: 1 <= v97 && v98 = 3 + v97 && 4 <= v98
f_278(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_279(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: TRUE
f_279(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_280(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: TRUE
f_280(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_281(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: 0 = 0
f_281(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_283(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: 0 <= v78
f_283(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_285(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_285(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_287(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE
f_287(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_289(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_289(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_291(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE
f_291(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_293(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_293(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_295(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_295(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_297(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE
f_297(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_299(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_299(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_301(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 1 + v126 = v78 && 0 <= 1 + v126
f_301(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_302(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE
f_302(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_303(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE
f_303(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_304(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_304(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_305(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_305(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_306(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0
f_306(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_307(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) :|: 0 = 0
f_307(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) -> f_308(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) :|: TRUE
f_308(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) -> f_274(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, 0, v88, v89, v90, 3, 4) :|: TRUE
f_274(1, v78, v79, v80, v81, v82, v83, v84, v85, v86, 0, v88, v89, v90, 3, 4) -> f_275(1, v78, v91, v79, v80, v81, v82, v83, v84, v85, v86, v92, 0, v88, v89, v90, 3, 4) :|: 1 <= v91 && v92 = 3 + v91 && 4 <= v92
Combined rules. Obtained 1 rulesP rules:
f_275(1, 1 + v126:0, v91:0, v79:0, v80:0, v81:0, v82:0, v83:0, v84:0, v85:0, v86:0, v92:0, 0, v88:0, v89:0, v90:0, 3, 4) -> f_275(1, v126:0, v91:1, v79:0, v80:0, v81:0, v82:0, v83:0, v84:0, v85:0, v86:0, 3 + v91:1, 0, v88:0, v89:0, v90:0, 3, 4) :|: v95:0 > 0 && v93:0 > 0 && v97:0 > 0 && v126:0 > -2 && v91:1 > 0
Filtered unneeded arguments:
   f_275(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_275(x2)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_275(sum~cons_1~v126:0) -> f_275(v126:0) :|: v126:0 > -2 && sum~cons_1~v126:0 = 1 + v126:0

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

(8)
Obligation:
Rules:
f_275(sum~cons_1~v126:0) -> f_275(v126:0) :|: v126:0 > -2 && sum~cons_1~v126:0 = 1 + v126:0

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

(10)
Obligation:
Rules:
f_275(sum~cons_1~v126:0:0) -> f_275(v126:0:0) :|: v126:0:0 > -2 && sum~cons_1~v126:0:0 = 1 + v126:0:0

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(11) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_275(x)] = x

The following rules are decreasing:
f_275(sum~cons_1~v126:0:0) -> f_275(v126:0:0) :|: v126:0:0 > -2 && sum~cons_1~v126:0:0 = 1 + v126:0:0
The following rules are bounded:
f_275(sum~cons_1~v126:0:0) -> f_275(v126:0:0) :|: v126:0:0 > -2 && sum~cons_1~v126:0:0 = 1 + v126:0:0

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(12)
YES