/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given C Problem could be proven:

(0) C Problem
(1) CToLLVMProof [EQUIVALENT, 177 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 2986 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
(6) LLVM Symbolic Execution Lasso
(7) Lasso2IRS [SOUND, 119 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [EQUIVALENT, 1195 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: (i i32, j i32, k i32, tmp i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%3 = alloca i32, align 4
		%4 = alloca i32, align 4
		%c = alloca i32, align 4
		store %i, %1
		store %j, %2
		store %k, %3
		store %tmp, %4
		store 0, %c
		br %5
	5:
		%6 = load %1
		%7 = icmp sle %6 100
		br %7, %8, %12
	8:
		%9 = load %2
		%10 = load %3
		%11 = icmp sle %9 %10
		br %12
	12:
		%13 = phi [0, %5], [%11, %8]
		br %13, %14, %23
	14:
		%15 = load %1
		store %15, %4
		%16 = load %2
		store %16, %1
		%17 = load %4
		%18 = add %17 1
		store %18, %2
		%19 = load %3
		%20 = sub %19 1
		store %20, %3
		%21 = load %c
		%22 = add %21 1
		store %22, %c
		br %5
	23:
		%24 = load %c
		ret %24

*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 @__VERIFIER_nondet_int()
		%5 = call i32 @__VERIFIER_nondet_int()
		%6 = call i32 @test_fun(i32 %2, i32 %3, i32 %4, i32 %5)
		ret %6


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) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
Converted SEGraph to 1 independent lasso.
----------------------------------------

(6)
Obligation:
Lasso
----------------------------------------

(7) Lasso2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 72 rulesP rules:
f_376(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_377(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: v693 <= 100
f_377(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_379(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_379(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_381(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_381(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_383(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v694, v691, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_383(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v694, v691, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_385(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_385(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_387(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: v695 <= v696
f_387(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_390(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_390(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_392(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_392(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_394(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_394(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_396(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_396(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_398(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_398(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_400(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_400(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_401(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_401(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_402(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_402(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_403(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: v805 = 1 + v693 && v805 <= 101
f_403(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_404(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_404(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_405(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_405(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_406(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 1 + v807 = v696
f_406(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_407(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_407(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_408(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_408(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_409(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) :|: v809 = 1 + v698 && 2 <= v809
f_409(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) -> f_410(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) :|: TRUE
f_410(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) -> f_411(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) :|: TRUE
f_411(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) -> f_375(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_375(v682, v683, v684, v685, v686, v687, v688, v689, v690, v691, 1, v693, v694, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_376(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_136 -> f_137(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
f_137(v1, v2, 3, 1, 4) -> f_138(v1, v2, 0, 3, 1, 4) :|: TRUE
f_138(v1, v2, 0, 3, 1, 4) -> f_139(v1, v3, v2, 0, 3, 1, 4) :|: TRUE
f_139(v1, v3, v2, 0, 3, 1, 4) -> f_140(v1, v3, v4, v2, 0, 3, 1, 4) :|: TRUE
f_140(v1, v3, v4, v2, 0, 3, 1, 4) -> f_141(v1, v3, v4, v5, v2, 0, 3, 1, 4) :|: TRUE
f_141(v1, v3, v4, v5, v2, 0, 3, 1, 4) -> f_142(v1, v3, v4, v5, v6, v2, 0, 3, 1, 4) :|: TRUE
f_142(v1, v3, v4, v5, v6, v2, 0, 3, 1, 4) -> f_143(v3, v4, v5, v6, v1, v2, 0, 3, 1, 4) :|: 0 = 0
f_143(v3, v4, v5, v6, v1, v2, 0, 3, 1, 4) -> f_144(v3, v4, v5, v6, v7, v1, v2, v8, 0, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8
f_144(v3, v4, v5, v6, v7, v1, v2, v8, 0, 3, 1, 4) -> f_145(v3, v4, v5, v6, v7, v9, v1, v2, v8, v10, 0, 3, 1, 4) :|: 1 <= v9 && v10 = 3 + v9 && 4 <= v10
f_145(v3, v4, v5, v6, v7, v9, v1, v2, v8, v10, 0, 3, 1, 4) -> f_146(v3, v4, v5, v6, v7, v9, v11, v1, v2, v8, v10, v12, 0, 3, 1, 4) :|: 1 <= v11 && v12 = 3 + v11 && 4 <= v12
f_146(v3, v4, v5, v6, v7, v9, v11, v1, v2, v8, v10, v12, 0, 3, 1, 4) -> f_147(v3, v4, v5, v6, v7, v9, v11, v13, v1, v2, v8, v10, v12, v14, 0, 3, 1, 4) :|: 1 <= v13 && v14 = 3 + v13 && 4 <= v14
f_147(v3, v4, v5, v6, v7, v9, v11, v13, v1, v2, v8, v10, v12, v14, 0, 3, 1, 4) -> f_148(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: 1 <= v15 && v16 = 3 + v15 && 4 <= v16
f_148(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_149(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: TRUE
f_149(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_150(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: TRUE
f_150(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_151(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: TRUE
f_151(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_152(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: TRUE
f_152(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_153(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: TRUE
f_153(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_154(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: TRUE
f_154(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_155(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) :|: 0 = 0
f_155(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4) -> f_156(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4, 100) :|: v3 <= 100
f_156(v3, v4, v5, v6, v7, v9, v11, v13, v15, v1, v2, v8, v10, v12, v14, v16, 0, 3, 1, 4, 100) -> f_158(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_158(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_160(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: TRUE
f_160(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_162(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_162(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_164(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_164(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_166(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: v4 <= v5
f_166(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_169(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_169(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_171(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_171(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_173(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: TRUE
f_173(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_175(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_175(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_177(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: TRUE
f_177(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_179(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_179(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_180(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: TRUE
f_180(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_181(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) :|: 0 = 0
f_181(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100) -> f_182(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) :|: v33 = 1 + v3 && v33 <= 101
f_182(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) -> f_183(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) :|: TRUE
f_183(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) -> f_184(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) :|: 0 = 0
f_184(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) -> f_185(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) :|: 1 + v35 = v5
f_185(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) -> f_186(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) :|: TRUE
f_186(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, v1, v2, v8, v10, v12, v14, v16, 0, 3, 4, 100, 101) -> f_187(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) :|: 0 = 0
f_187(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) -> f_188(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) :|: 0 = 0
f_188(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) -> f_189(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) :|: TRUE
f_189(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) -> f_190(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) :|: TRUE
f_190(v3, v4, v5, v6, v7, v9, v11, v13, v15, 1, v33, v35, 0, v1, v2, v8, v10, v12, v14, v16, 3, 4, 100, 101) -> f_227(v3, v4, v5, v6, v7, v9, v11, v13, v15, v3, 1, v4, v5, v33, v35, 0, 1, v1, v2, v8, v10, v12, v14, v16, 0, 3, 100, 101, 2, 4) :|: TRUE
f_227(v166, v167, v168, v169, v170, v171, v172, v173, v174, v175, 1, v177, v178, v179, v180, v181, v182, v183, v184, v185, v186, v187, v188, v189, 0, 3, 100, 101, 2, 4) -> f_264(v166, v167, v168, v169, v170, v171, v172, v173, v174, v175, 1, v177, v178, v179, v180, v181, v182, v183, v184, v185, v186, v187, v188, v189, 0, 3, 100, 101, 2, 4) :|: TRUE
f_264(v295, v296, v297, v298, v299, v300, v301, v302, v303, v304, 1, v306, v307, v308, v309, v310, v311, v312, v313, v314, v315, v316, v317, v318, 0, 3, 100, 101, 2, 4) -> f_301(v295, v296, v297, v298, v299, v300, v301, v302, v303, v304, 1, v306, v307, v308, v309, v310, v311, v312, v313, v314, v315, v316, v317, v318, 0, 3, 100, 101, 4) :|: TRUE
f_301(v424, v425, v426, v427, v428, v429, v430, v431, v432, v433, 1, v435, v436, v437, v438, v439, v440, v441, v442, v443, v444, v445, v446, v447, 0, 3, 100, 101, 4) -> f_338(v424, v425, v426, v427, v428, v429, v430, v431, v432, v433, 1, v435, v436, v437, v438, v439, v440, v441, v442, v443, v444, v445, v446, v447, 0, 3, 100, 101, 4) :|: TRUE
f_338(v553, v554, v555, v556, v557, v558, v559, v560, v561, v562, 1, v564, v565, v566, v567, v568, v569, v570, v571, v572, v573, v574, v575, v576, 0, 3, 100, 101, 4) -> f_375(v553, v554, v555, v556, v557, v558, v559, v560, v561, v562, 1, v564, v565, v566, v567, v568, v569, v570, v571, v572, v573, v574, v575, v576, 0, 3, 100, 101, 4) :|: TRUE
Combined rules. Obtained 2 rulesP rules:
f_376(v682:0, v683:0, v684:0, v685:0, v686:0, v687:0, v688:0, v689:0, v690:0, v693:0, 1, v694:0, v691:0, v695:0, 1 + v807:0, v697:0, v698:0, v699:0, v700:0, v701:0, v702:0, v703:0, v704:0, v705:0, 0, 3, 100, 101, 4) -> f_376(v682:0, v683:0, v684:0, v685:0, v686:0, v687:0, v688:0, v689:0, v690:0, v695:0, 1, 1 + v807:0, v693:0, 1 + v693:0, v807:0, v698:0, 1 + v698:0, v699:0, v700:0, v701:0, v702:0, v703:0, v704:0, v705:0, 0, 3, 100, 101, 4) :|: v693:0 < 101 && v695:0 <= 1 + v807:0 && v698:0 > 0
f_136 -> f_376(v3:0, v4:0, 1 + v35:0, v6:0, v7:0, v9:0, v11:0, v13:0, v15:0, v4:0, 1, 1 + v35:0, v3:0, 1 + v3:0, v35:0, 0, 1, v1:0, 3 + v1:0, 3 + v7:0, 3 + v9:0, 3 + v11:0, 3 + v13:0, 3 + v15:0, 0, 3, 100, 101, 4) :|: v1:0 > 0 && v7:0 > 0 && v9:0 > 0 && v11:0 > 0 && v13:0 > 0 && v15:0 > 0 && v3:0 < 101 && v4:0 <= 1 + v35:0
Filtered unneeded arguments:
   f_376(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_376(x10, x14, x15, x17)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_376(v693:0, v695:0, sum~cons_1~v807:0, v698:0) -> f_376(v695:0, 1 + v693:0, v807:0, 1 + v698:0) :|: v695:0 <= 1 + v807:0 && v698:0 > 0 && v693:0 < 101 && sum~cons_1~v807:0 = 1 + v807:0
f_136 -> f_376(v4:0, 1 + v3:0, v35:0, 1) :|: v3:0 < 101 && v4:0 <= 1 + v35:0

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(8)
Obligation:
Rules:
f_376(v693:0, v695:0, sum~cons_1~v807:0, v698:0) -> f_376(v695:0, 1 + v693:0, v807:0, 1 + v698:0) :|: v695:0 <= 1 + v807:0 && v698:0 > 0 && v693:0 < 101 && sum~cons_1~v807:0 = 1 + v807:0
f_136 -> f_376(v4:0, 1 + v3:0, v35:0, 1) :|: v3:0 < 101 && v4:0 <= 1 + v35:0
Start term: f_136

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(9) IRS2T2 (EQUIVALENT)
Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:

   (f_376_4,1)
   (f_136_4,2)

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

(10)
Obligation:
START: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := oldX2 - 1;
assume(oldX1 <= 1 + oldX4 && oldX3 > 0 && oldX0 < 101 && oldX2 = 1 + oldX4);
x0 := oldX1;
x1 := 1 + oldX0;
x2 := oldX2 - 1;
x3 := 1 + oldX3;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := nondet();
oldX5 := nondet();
oldX6 := nondet();
assume(oldX5 < 101 && oldX4 <= 1 + oldX6);
x0 := oldX4;
x1 := 1 + oldX5;
x2 := oldX6;
x3 := 1;
TO: 1;


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(11) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 1, 3, 4 using the following rank functions:
    - Rank function 1:
      RF for loc. 5: 2-2*x0-2*x1+2*x2
      RF for loc. 6: -2*x0-2*x1+2*x2
      Bound for (chained) transitions 3: -200
      Bound for (chained) transitions 4: -200
    - Rank function 2:
      RF for loc. 5: 1
      RF for loc. 6: 0
      Bound for (chained) transitions 1: 1

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(12)
YES