/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 11.0 s]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 202 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) PolynomialOrderProcessor [EQUIVALENT, 22 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: "cstrncmp" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (s1 *i8, s2 *i8, n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca *i8, align 8
		%3 = alloca *i8, align 8
		%4 = alloca i32, align 4
		%uc1 = alloca i8, align 1
		%uc2 = alloca i8, align 1
		store %s1, %2
		store %s2, %3
		store %n, %4
		%5 = load %4
		%6 = icmp eq %5 0
		br %6, %7, %8
	7:
		store 0, %1
		br %57
	8:
		br %9
	9:
		%10 = load %4
		%11 = add %10 -1
		store %11, %4
		%12 = icmp sgt %10 0
		br %12, %13, %21
	13:
		%14 = load %2
		%15 = load %14
		%16 = sext i8 %15 to i32
		%17 = load %3
		%18 = load %17
		%19 = sext i8 %18 to i32
		%20 = icmp eq %16 %19
		br %21
	21:
		%22 = phi [0, %9], [%20, %13]
		br %22, %23, %37
	23:
		%24 = load %4
		%25 = icmp eq %24 0
		br %25, %31, %26
	26:
		%27 = load %2
		%28 = load %27
		%29 = sext i8 %28 to i32
		%30 = icmp eq %29 0
		br %30, %31, %32
	31:
		store 0, %1
		br %57
	32:
		%33 = load %2
		%34 = getelementptr %33, 1
		store %34, %2
		%35 = load %3
		%36 = getelementptr %35, 1
		store %36, %3
		br %9
	37:
		%38 = load %2
		%39 = load %38
		store %39, %uc1
		%40 = load %3
		%41 = load %40
		store %41, %uc2
		%42 = load %uc1
		%43 = zext i8 %42 to i32
		%44 = load %uc2
		%45 = zext i8 %44 to i32
		%46 = icmp slt %43 %45
		br %46, %47, %48
	47:
		br %55
	48:
		%49 = load %uc1
		%50 = zext i8 %49 to i32
		%51 = load %uc2
		%52 = zext i8 %51 to i32
		%53 = icmp sgt %50 %52
		%54 = zext i1 %53 to i32
		br %55
	55:
		%56 = phi [-1, %47], [%54, %48]
		store %56, %1
		br %57
	57:
		%58 = load %1
		ret %58

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%length1 = alloca i32, align 4
		%length2 = alloca i32, align 4
		%nondetString1 = alloca *i8, align 8
		%nondetString2 = alloca *i8, align 8
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %length1
		%3 = call i32 @__VERIFIER_nondet_int()
		store %3, %length2
		%4 = load %length1
		%5 = icmp slt %4 1
		br %5, %6, %7
	6:
		store 1, %length1
		br %7
	7:
		%8 = load %length2
		%9 = icmp slt %8 1
		br %9, %10, %11
	10:
		store 1, %length2
		br %11
	11:
		%12 = load %length1
		%13 = sext i32 %12 to i64
		%14 = mul %13 1
		%15 = alloca i8, numElementsLit: %14
		store %15, %nondetString1
		%16 = load %length2
		%17 = sext i32 %16 to i64
		%18 = mul %17 1
		%19 = alloca i8, numElementsLit: %18
		store %19, %nondetString2
		%20 = load %length1
		%21 = sub %20 1
		%22 = sext i32 %21 to i64
		%23 = load %nondetString1
		%24 = getelementptr %23, %22
		store 0, %24
		%25 = load %length2
		%26 = sub %25 1
		%27 = sext i32 %26 to i64
		%28 = load %nondetString2
		%29 = getelementptr %28, %27
		store 0, %29
		%30 = load %nondetString1
		%31 = load %nondetString2
		%32 = call i32 @__VERIFIER_nondet_int()
		%33 = call i32 @cstrncmp(*i8 %30, *i8 %31, i32 %32)
		ret %33


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 33 rulesP rules:
f_1197(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1198(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1198(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1200(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: v7658 != 0 && 2 <= v7657
f_1200(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1202(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1202(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1204(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1204(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1206(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7664, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1206(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7664, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1208(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7664, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1208(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7664, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1210(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1210(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1213(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: v7661 != 0 && v7660 < v7674 && v7662 < v7676 && 3 <= v7674 && 3 <= v7676
f_1213(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1215(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1215(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1217(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1217(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1219(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1219(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1221(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: v8321 = 1 + v7660 && 3 <= v8321
f_1221(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1223(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1223(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1225(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1225(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1226(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: v8323 = 1 + v7662 && 3 <= v8323
f_1226(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1227(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1227(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1228(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1228(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1229(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1229(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1230(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 1 + v8366 = v7658 && 0 <= v8366
f_1230(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1231(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1231(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1232(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1232(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1233(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1233(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v7660, v7661, v7662, v8321, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1234(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v7661, v7662, v7660, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1234(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v7661, v7662, v7660, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1235(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v7661, v7662, v7660, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1235(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v7661, v7662, v7660, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1236(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v7662, v7661, v7660, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1236(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v7662, v7661, v7660, v8323, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1237(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v8323, v7661, v7660, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1237(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v8323, v7661, v7660, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1238(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v8323, v8417, v7661, v7660, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1238(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v8323, v8417, v7661, v7660, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1239(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v8323, v8417, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1239(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8415, v8323, v8417, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1240(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8417, v8323, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: v8415 = v8417
f_1240(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8417, v8323, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1242(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8417, v8323, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1242(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8417, v8323, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1244(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8417, v8323, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: 0 = 0
f_1244(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8417, v8323, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7663, v7664, v7665, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1196(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7658, v8366, 1, v8321, v8417, v8323, v7660, v7661, v7662, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
f_1196(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) -> f_1197(v7647, v7648, v7649, v7650, v7651, v7652, v7653, v7654, v7655, 0, v7657, v7658, 1, v7660, v7661, v7662, v7663, v7664, v7665, v7666, v7677, v7667, v7678, v7668, v7679, v7669, v7680, v7670, v7681, v7674, v7676, v7682, v7683, v7684, v7685, v7686, v7671, v7672, v7673, v7675, 3, 7, 2, 4, 8) :|: TRUE
Combined rules. Obtained 2 rulesP rules:
f_1197(v7647:0, v7648:0, v7649:0, v7650:0, v7651:0, v7652:0, v7653:0, v7654:0, v7655:0, 0, v7657:0, 1 + v8366:0, 1, v7660:0, v7661:0, v7662:0, v7663:0, v7664:0, v7665:0, v7666:0, v7677:0, v7667:0, v7678:0, v7668:0, v7679:0, v7669:0, v7680:0, v7670:0, v7681:0, v7674:0, v7676:0, v7682:0, v7683:0, v7684:0, v7685:0, v7686:0, v7671:0, v7672:0, v7673:0, v7675:0, 3, 7, 2, 4, 8) -> f_1197(v7647:0, v7648:0, v7649:0, v7650:0, v7651:0, v7652:0, v7653:0, v7654:0, v7655:0, 0, 1 + v8366:0, v8366:0, 1, 1 + v7660:0, v8415:0, 1 + v7662:0, v7660:0, v7661:0, v7662:0, v7666:0, v7677:0, v7667:0, v7678:0, v7668:0, v7679:0, v7669:0, v7680:0, v7670:0, v7681:0, v7674:0, v7676:0, v7682:0, v7683:0, v7684:0, v7685:0, v7686:0, v7671:0, v7672:0, v7673:0, v7675:0, 3, 7, 2, 4, 8) :|: v7657:0 > 1 && v8366:0 > -1 && v7674:0 > v7660:0 && v7661:0 < 0 && v7676:0 > v7662:0 && v7674:0 > 2 && v7676:0 > 2 && v7660:0 > 1 && v7662:0 > 1
f_1197(v7647:0, v7648:0, v7649:0, v7650:0, v7651:0, v7652:0, v7653:0, v7654:0, v7655:0, 0, v7657:0, 1 + v8366:0, 1, v7660:0, v7661:0, v7662:0, v7663:0, v7664:0, v7665:0, v7666:0, v7677:0, v7667:0, v7678:0, v7668:0, v7679:0, v7669:0, v7680:0, v7670:0, v7681:0, v7674:0, v7676:0, v7682:0, v7683:0, v7684:0, v7685:0, v7686:0, v7671:0, v7672:0, v7673:0, v7675:0, 3, 7, 2, 4, 8) -> f_1197(v7647:0, v7648:0, v7649:0, v7650:0, v7651:0, v7652:0, v7653:0, v7654:0, v7655:0, 0, 1 + v8366:0, v8366:0, 1, 1 + v7660:0, v8415:0, 1 + v7662:0, v7660:0, v7661:0, v7662:0, v7666:0, v7677:0, v7667:0, v7678:0, v7668:0, v7679:0, v7669:0, v7680:0, v7670:0, v7681:0, v7674:0, v7676:0, v7682:0, v7683:0, v7684:0, v7685:0, v7686:0, v7671:0, v7672:0, v7673:0, v7675:0, 3, 7, 2, 4, 8) :|: v7657:0 > 1 && v8366:0 > -1 && v7674:0 > v7660:0 && v7661:0 > 0 && v7676:0 > v7662:0 && v7674:0 > 2 && v7676:0 > 2 && v7660:0 > 1 && v7662:0 > 1
Filtered unneeded arguments:
   f_1197(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, x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45) -> f_1197(x11, x12, x14, x15, x16, x30, x31)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_1197(v7657:0, sum~cons_1~v8366:0, v7660:0, v7661:0, v7662:0, v7674:0, v7676:0) -> f_1197(1 + v8366:0, v8366:0, 1 + v7660:0, v8415:0, 1 + v7662:0, v7674:0, v7676:0) :|: v8366:0 > -1 && v7657:0 > 1 && v7674:0 > v7660:0 && v7661:0 < 0 && v7676:0 > v7662:0 && v7674:0 > 2 && v7676:0 > 2 && v7662:0 > 1 && v7660:0 > 1 && sum~cons_1~v8366:0 = 1 + v8366:0
f_1197(v7657:0, sum~cons_1~v8366:0, v7660:0, v7661:0, v7662:0, v7674:0, v7676:0) -> f_1197(1 + v8366:0, v8366:0, 1 + v7660:0, v8415:0, 1 + v7662:0, v7674:0, v7676:0) :|: v8366:0 > -1 && v7657:0 > 1 && v7674:0 > v7660:0 && v7661:0 > 0 && v7676:0 > v7662:0 && v7674:0 > 2 && v7676:0 > 2 && v7662:0 > 1 && v7660:0 > 1 && sum~cons_1~v8366:0 = 1 + v8366:0

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(8)
Obligation:
Rules:
f_1197(v7657:0, sum~cons_1~v8366:0, v7660:0, v7661:0, v7662:0, v7674:0, v7676:0) -> f_1197(1 + v8366:0, v8366:0, 1 + v7660:0, v8415:0, 1 + v7662:0, v7674:0, v7676:0) :|: v8366:0 > -1 && v7657:0 > 1 && v7674:0 > v7660:0 && v7661:0 < 0 && v7676:0 > v7662:0 && v7674:0 > 2 && v7676:0 > 2 && v7662:0 > 1 && v7660:0 > 1 && sum~cons_1~v8366:0 = 1 + v8366:0
f_1197(x, x1, x2, x3, x4, x5, x6) -> f_1197(1 + x7, x7, 1 + x2, x8, 1 + x4, x5, x6) :|: x7 > -1 && x > 1 && x5 > x2 && x3 > 0 && x6 > x4 && x5 > 2 && x6 > 2 && x4 > 1 && x2 > 1 && x1 = 1 + x7

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(9) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(10)
Obligation:
Rules:
f_1197(x:0, sum~cons_1~x7:0, x2:0, x3:0, x4:0, x5:0, x6:0) -> f_1197(1 + x7:0, x7:0, 1 + x2:0, x8:0, 1 + x4:0, x5:0, x6:0) :|: x4:0 > 1 && x2:0 > 1 && x6:0 > 2 && x5:0 > 2 && x6:0 > x4:0 && x3:0 > 0 && x5:0 > x2:0 && x:0 > 1 && x7:0 > -1 && sum~cons_1~x7:0 = 1 + x7:0
f_1197(v7657:0:0, sum~cons_1~v8366:0:0, v7660:0:0, v7661:0:0, v7662:0:0, v7674:0:0, v7676:0:0) -> f_1197(1 + v8366:0:0, v8366:0:0, 1 + v7660:0:0, v8415:0:0, 1 + v7662:0:0, v7674:0:0, v7676:0:0) :|: v7662:0:0 > 1 && v7660:0:0 > 1 && v7676:0:0 > 2 && v7674:0:0 > 2 && v7676:0:0 > v7662:0:0 && v7661:0:0 < 0 && v7674:0:0 > v7660:0:0 && v7657:0:0 > 1 && v8366:0:0 > -1 && sum~cons_1~v8366:0:0 = 1 + v8366:0:0

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(11) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_1197(x, x1, x2, x3, x4, x5, x6)] = -1 - x2 + x5

The following rules are decreasing:
f_1197(x:0, sum~cons_1~x7:0, x2:0, x3:0, x4:0, x5:0, x6:0) -> f_1197(1 + x7:0, x7:0, 1 + x2:0, x8:0, 1 + x4:0, x5:0, x6:0) :|: x4:0 > 1 && x2:0 > 1 && x6:0 > 2 && x5:0 > 2 && x6:0 > x4:0 && x3:0 > 0 && x5:0 > x2:0 && x:0 > 1 && x7:0 > -1 && sum~cons_1~x7:0 = 1 + x7:0
f_1197(v7657:0:0, sum~cons_1~v8366:0:0, v7660:0:0, v7661:0:0, v7662:0:0, v7674:0:0, v7676:0:0) -> f_1197(1 + v8366:0:0, v8366:0:0, 1 + v7660:0:0, v8415:0:0, 1 + v7662:0:0, v7674:0:0, v7676:0:0) :|: v7662:0:0 > 1 && v7660:0:0 > 1 && v7676:0:0 > 2 && v7674:0:0 > 2 && v7676:0:0 > v7662:0:0 && v7661:0:0 < 0 && v7674:0:0 > v7660:0:0 && v7657:0:0 > 1 && v8366:0:0 > -1 && sum~cons_1~v8366:0:0 = 1 + v8366:0:0
The following rules are bounded:
f_1197(x:0, sum~cons_1~x7:0, x2:0, x3:0, x4:0, x5:0, x6:0) -> f_1197(1 + x7:0, x7:0, 1 + x2:0, x8:0, 1 + x4:0, x5:0, x6:0) :|: x4:0 > 1 && x2:0 > 1 && x6:0 > 2 && x5:0 > 2 && x6:0 > x4:0 && x3:0 > 0 && x5:0 > x2:0 && x:0 > 1 && x7:0 > -1 && sum~cons_1~x7:0 = 1 + x7:0
f_1197(v7657:0:0, sum~cons_1~v8366:0:0, v7660:0:0, v7661:0:0, v7662:0:0, v7674:0:0, v7676:0:0) -> f_1197(1 + v8366:0:0, v8366:0:0, 1 + v7660:0:0, v8415:0:0, 1 + v7662:0:0, v7674:0:0, v7676:0:0) :|: v7662:0:0 > 1 && v7660:0:0 > 1 && v7676:0:0 > 2 && v7674:0:0 > 2 && v7676:0:0 > v7662:0:0 && v7661:0:0 < 0 && v7674:0:0 > v7660:0:0 && v7657:0:0 > 1 && v8366:0:0 > -1 && sum~cons_1~v8366:0:0 = 1 + v8366:0:0

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(12)
YES