/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


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


YES
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 173 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1392 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 100 ms]
(8) IntTRS
(9) TerminationGraphProcessor [EQUIVALENT, 17 ms]
(10) IntTRS
(11) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(12) IntTRS
(13) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
(14) YES


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

(0)
Obligation:
c file /export/starexec/sandbox2/benchmark/theBenchmark.c
----------------------------------------

(1) CToLLVMProof (EQUIVALENT)
Compiled c-file /export/starexec/sandbox2/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: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%x = alloca *i32, align 8
		%y = alloca *i32, align 8
		%z = alloca *i32, align 8
		store 0, %1
		%2 = alloca i8, numElementsLit: 4
		%3 = bitcast *i8 %2 to *i32
		store %3, %x
		%4 = alloca i8, numElementsLit: 4
		%5 = bitcast *i8 %4 to *i32
		store %5, %y
		%6 = alloca i8, numElementsLit: 4
		%7 = bitcast *i8 %6 to *i32
		store %7, %z
		%8 = call i32 @__VERIFIER_nondet_int()
		%9 = load %x
		store %8, %9
		%10 = call i32 @__VERIFIER_nondet_int()
		%11 = load %y
		store %10, %11
		%12 = call i32 @__VERIFIER_nondet_int()
		%13 = load %z
		store %12, %13
		br %14
	14:
		%15 = load %x
		%16 = load %15
		%17 = icmp sgt %16 0
		br %17, %18, %33
	18:
		%19 = load %x
		%20 = load %19
		%21 = load %y
		%22 = load %21
		%23 = add %20 %22
		%24 = load %x
		store %23, %24
		%25 = load %z
		%26 = load %25
		%27 = load %y
		store %26, %27
		%28 = load %z
		%29 = load %28
		%30 = sub 0 %29
		%31 = sub %30 1
		%32 = load %z
		store %31, %32
		br %14
	33:
		%34 = load %1
		ret %34


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_227(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v46, 1, v48, v49, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_228(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_228(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_229(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 < v49
f_229(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_231(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_231(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_233(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE
f_233(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_235(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_235(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_237(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_237(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_238(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_238(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_239(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_239(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_240(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: v61 = v49 + v50
f_240(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_241(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_241(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_242(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE
f_242(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_243(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_243(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_244(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_244(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_245(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_245(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_246(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE
f_246(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_247(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_247(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_248(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_248(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_249(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: v64 + v52 = 0
f_249(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_250(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 1 + v65 = v64
f_250(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_251(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
f_251(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_252(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE
f_252(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_253(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE
f_253(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_226(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE
f_226(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v46, 1, v48, v49, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_227(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v46, 1, v48, v49, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_227(v36:0, v37:0, v38:0, v39:0, v40:0, v41:0, v42:0, v43:0, v44:0, v45:0, v46:0, 1, v48:0, v49:0, v50:0, v51:0, v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v59:0, 0, 3, 7, 4, 8) -> f_227(v36:0, v37:0, v38:0, v39:0, v40:0, v41:0, v42:0, v43:0, v44:0, v45:0, v49:0, 1, v50:0, v49:0 + v50:0, v52:0, 1 + v65:0, v65:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v59:0, 0, 3, 7, 4, 8) :|: 1 + v65:0 + v52:0 = 0 && v49:0 > 0
Filtered unneeded arguments:
   f_227(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) -> f_227(x14, x15, x17)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: 1 + v65:0 + v52:0 = 0 && v49:0 > 0

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

(8)
Obligation:
Rules:
f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: 1 + v65:0 + v52:0 = 0 && v49:0 > 0

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

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

f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: 1 + v65:0 + v52:0 = 0 && v49:0 > 0
has been transformed into
f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: v52:0 = x11 && (v50:0 = x10 && (1 + v65:0 + v52:0 = 0 && v49:0 > 0)) && 1 + x11 + x10 = 0 && x8 > 0.


f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: v52:0 = x11 && (v50:0 = x10 && (1 + v65:0 + v52:0 = 0 && v49:0 > 0)) && 1 + x11 + x10 = 0 && x8 > 0 and 
f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: v52:0 = x11 && (v50:0 = x10 && (1 + v65:0 + v52:0 = 0 && v49:0 > 0)) && 1 + x11 + x10 = 0 && x8 > 0
have been merged into the new rule
f_227(x26, x27, x28) -> f_227(x26 + x27 + x28, x29, x30) :|: x28 = x31 && (x27 = x32 && (1 + x29 + x28 = 0 && x26 > 0)) && 1 + x31 + x32 = 0 && x33 > 0 && (x29 = x34 && (x28 = x35 && (1 + x30 + x29 = 0 && x26 + x27 > 0)) && 1 + x34 + x35 = 0 && x36 > 0)


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

(10)
Obligation:
Rules:
f_227(x37, x38, x39) -> f_227(x37 + x38 + x39, x40, x41) :|: TRUE && x39 + -1 * x42 = 0 && x38 + -1 * x43 = 0 && x40 + x39 = -1 && x37 >= 1 && x42 + x43 = -1 && x44 >= 1 && x40 + -1 * x45 = 0 && x39 + -1 * x46 = 0 && x41 + x40 = -1 && x37 + x38 >= 1 && x45 + x46 = -1 && x47 >= 1

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

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

(12)
Obligation:
Rules:
f_227(x37:0, x38:0, x39:0) -> f_227(x37:0 + x38:0 + x39:0, x40:0, x41:0) :|: x45:0 + x46:0 = -1 && x47:0 > 0 && x37:0 + x38:0 >= 1 && x41:0 + x40:0 = -1 && x39:0 + -1 * x46:0 = 0 && x40:0 + -1 * x45:0 = 0 && x44:0 > 0 && x42:0 + x43:0 = -1 && x37:0 > 0 && x40:0 + x39:0 = -1 && x39:0 + -1 * x42:0 = 0 && x38:0 + -1 * x43:0 = 0

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

(13) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_227(x, x1, x2)] = x + x1

The following rules are decreasing:
f_227(x37:0, x38:0, x39:0) -> f_227(x37:0 + x38:0 + x39:0, x40:0, x41:0) :|: x45:0 + x46:0 = -1 && x47:0 > 0 && x37:0 + x38:0 >= 1 && x41:0 + x40:0 = -1 && x39:0 + -1 * x46:0 = 0 && x40:0 + -1 * x45:0 = 0 && x44:0 > 0 && x42:0 + x43:0 = -1 && x37:0 > 0 && x40:0 + x39:0 = -1 && x39:0 + -1 * x42:0 = 0 && x38:0 + -1 * x43:0 = 0
The following rules are bounded:
f_227(x37:0, x38:0, x39:0) -> f_227(x37:0 + x38:0 + x39:0, x40:0, x41:0) :|: x45:0 + x46:0 = -1 && x47:0 > 0 && x37:0 + x38:0 >= 1 && x41:0 + x40:0 = -1 && x39:0 + -1 * x46:0 = 0 && x40:0 + -1 * x45:0 = 0 && x44:0 > 0 && x42:0 + x43:0 = -1 && x37:0 > 0 && x40:0 + x39:0 = -1 && x39:0 + -1 * x42:0 = 0 && x38:0 + -1 * x43:0 = 0

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

(14)
YES