/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 2906 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) LLVM Symbolic Execution SCC
        (8) SCC2IRS [SOUND, 81 ms]
        (9) IntTRS
        (10) IRS2T2 [EQUIVALENT, 0 ms]
        (11) T2IntSys
        (12) T2 [EQUIVALENT, 803 ms]
        (13) YES
    (14) LLVM Symbolic Execution SCC
        (15) SCC2IRS [SOUND, 71 ms]
        (16) IntTRS
        (17) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (18) IntTRS
        (19) RankingReductionPairProof [EQUIVALENT, 23 ms]
        (20) 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: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%c = alloca i32, align 4
		store %x, %1
		store %y, %2
		store 0, %c
		br %3
	3:
		%4 = load %1
		%5 = icmp sgt %4 0
		br %5, %6, %19
	6:
		store 0, %2
		br %7
	7:
		%8 = load %2
		%9 = load %1
		%10 = icmp slt %8 %9
		br %10, %11, %16
	11:
		%12 = load %2
		%13 = add %12 1
		store %13, %2
		%14 = load %c
		%15 = add %14 1
		store %15, %c
		br %7
	16:
		%17 = load %1
		%18 = sub %17 1
		store %18, %1
		br %3
	19:
		%20 = load %c
		ret %20

*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 @test_fun(i32 %2, i32 %3)
		ret %4


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 2 SCCs.
----------------------------------------

(6)
Complex Obligation (AND)

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

(7)
Obligation:
SCC
----------------------------------------

(8) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 32 rulesP rules:
f_403(v483, v484, v485, v486, v487, v488, 1, v490, v492, v493, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_404(v483, v484, v485, v486, v487, v488, 1, v490, v502, v493, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: v502 = 1 + v490 && 1 <= v502
f_404(v483, v484, v485, v486, v487, v488, 1, v490, v502, v493, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_405(v483, v484, v485, v486, v487, v488, 1, v490, v502, v493, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: TRUE
f_405(v483, v484, v485, v486, v487, v488, 1, v490, v502, v493, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_406(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: 0 = 0
f_406(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_407(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: v504 = 1 + v494 && 3 <= v504
f_407(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_408(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: TRUE
f_408(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_409(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: TRUE
f_409(v483, v484, v485, v486, v487, v488, 1, v490, v502, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_410(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: 0 = 0
f_410(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_411(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: 0 = 0
f_411(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_412(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: v502 < v488 && 2 <= v488 && 3 <= v495 && 3 <= v483
f_411(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_413(v483, v484, v485, v486, v487, v502, 1, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: v488 <= v502 && v488 = v502
f_412(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_414(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: 0 = 0
f_414(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_416(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: TRUE
f_416(v483, v484, v485, v486, v487, v488, 1, v502, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_402(v483, v484, v485, v486, v487, v488, 1, v502, v490, v502, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: TRUE
f_402(v483, v484, v485, v486, v487, v488, 1, v490, v491, v492, v493, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_403(v483, v484, v485, v486, v487, v488, 1, v490, v492, v493, v494, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) :|: 0 = 0
f_413(v483, v484, v485, v486, v487, v502, 1, v490, v494, v504, v495, v496, v497, v498, v499, v500, 0, 3, 2, 4) -> f_415(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v495, v496, v497, v498, v499, v500, 3, 2, 4) :|: 0 = 0
f_415(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v495, v496, v497, v498, v499, v500, 3, 2, 4) -> f_417(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v495, v496, v497, v498, v499, v500, 3, 2, 4) :|: TRUE
f_417(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v495, v496, v497, v498, v499, v500, 3, 2, 4) -> f_418(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: 0 = 0
f_418(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_419(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: 1 + v490 = v502
f_419(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_420(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: TRUE
f_420(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_421(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: TRUE
f_421(v483, v484, v485, v486, v487, v502, 1, 0, v490, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_422(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: 0 = 0
f_422(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_423(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: 0 < v490 && 2 <= v502 && 3 <= v483
f_423(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_425(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: 0 = 0
f_425(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_427(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: TRUE
f_427(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_429(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: TRUE
f_429(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_431(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: TRUE
f_431(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) -> f_432(v483, v484, v485, v486, v487, v490, 1, v502, 0, v494, v504, v496, v497, v498, v499, v500, 3, 2, 4) :|: TRUE
f_432(v586, v587, v588, v589, v590, v591, 1, v593, 0, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) -> f_434(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) :|: 0 = 0
f_434(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) -> f_435(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) :|: 0 = 0
f_435(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) -> f_436(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) :|: 0 = 0
f_436(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) -> f_437(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) :|: TRUE
f_437(v586, v587, v588, v589, v590, v591, 1, 0, v593, v595, v596, v597, v598, v599, v600, v601, 3, 2, 4) -> f_402(v586, v587, v588, v589, v590, v591, 1, 0, v591, v593, v595, v596, v593, v597, v598, v599, v600, v601, 0, 3, 2, 4) :|: TRUE
Combined rules. Obtained 2 rulesP rules:
f_403(v483:0, v484:0, v485:0, v486:0, v487:0, 1 + v490:0, 1, v490:0, v492:0, v493:0, v494:0, v495:0, v496:0, v497:0, v498:0, v499:0, v500:0, 0, 3, 2, 4) -> f_403(v483:0, v484:0, v485:0, v486:0, v487:0, v490:0, 1, 0, 1 + v490:0, v494:0, 1 + v494:0, 1 + v490:0, v496:0, v497:0, v498:0, v499:0, v500:0, 0, 3, 2, 4) :|: v490:0 > 0 && v494:0 > 1 && v483:0 > 2
f_403(v483:0, v484:0, v485:0, v486:0, v487:0, v488:0, 1, v490:0, v492:0, v493:0, v494:0, v495:0, v496:0, v497:0, v498:0, v499:0, v500:0, 0, 3, 2, 4) -> f_403(v483:0, v484:0, v485:0, v486:0, v487:0, v488:0, 1, 1 + v490:0, 1 + v490:0, v494:0, 1 + v494:0, v495:0, v496:0, v497:0, v498:0, v499:0, v500:0, 0, 3, 2, 4) :|: v490:0 > -1 && v494:0 > 1 && v488:0 > 1 && v488:0 > 1 + v490:0 && v483:0 > 2 && v495:0 > 2
Filtered unneeded arguments:
   f_403(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_403(x1, x6, x8, x11, x12)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_403(v483:0, sum~cons_1~v490:0, v490:0, v494:0, v495:0) -> f_403(v483:0, v490:0, 0, 1 + v494:0, 1 + v490:0) :|: v494:0 > 1 && v483:0 > 2 && v490:0 > 0 && sum~cons_1~v490:0 = 1 + v490:0
f_403(v483:0, v488:0, v490:0, v494:0, v495:0) -> f_403(v483:0, v488:0, 1 + v490:0, 1 + v494:0, v495:0) :|: v494:0 > 1 && v490:0 > -1 && v488:0 > 1 && v488:0 > 1 + v490:0 && v495:0 > 2 && v483:0 > 2

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

(9)
Obligation:
Rules:
f_403(v483:0, sum~cons_1~v490:0, v490:0, v494:0, v495:0) -> f_403(v483:0, v490:0, 0, 1 + v494:0, 1 + v490:0) :|: v494:0 > 1 && v483:0 > 2 && v490:0 > 0 && sum~cons_1~v490:0 = 1 + v490:0
f_403(x, x1, x2, x3, x4) -> f_403(x, x1, 1 + x2, 1 + x3, x4) :|: x3 > 1 && x2 > -1 && x1 > 1 && x1 > 1 + x2 && x4 > 2 && x > 2

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

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

   (f_403_5,1)

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

(11)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
assume(oldX3 > 1 && oldX0 > 2 && oldX2 > 0 && oldX1 = 1 + oldX2);
x0 := oldX0;
x1 := oldX2;
x2 := 0;
x3 := 1 + oldX3;
x4 := 1 + oldX2;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
assume(oldX3 > 1 && oldX2 > -1 && oldX1 > 1 && oldX1 > 1 + oldX2 && oldX4 > 2 && oldX0 > 2);
x0 := oldX0;
x1 := oldX1;
x2 := 1 + oldX2;
x3 := 1 + oldX3;
x4 := oldX4;
TO: 1;


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

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

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

(13)
YES

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

(14)
Obligation:
SCC
----------------------------------------

(15) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 13 rulesP rules:
f_258(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 4) -> f_259(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 4) :|: 0 = 0
f_259(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 4) -> f_260(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: v92 < v85 && 2 <= v85
f_260(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_262(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: 0 = 0
f_262(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_264(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: TRUE
f_264(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_266(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: 0 = 0
f_266(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_268(v85, v86, v87, v88, v89, 1, v92, v99, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: v99 = 1 + v92 && 2 <= v99
f_268(v85, v86, v87, v88, v89, 1, v92, v99, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_270(v85, v86, v87, v88, v89, 1, v92, v99, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: TRUE
f_270(v85, v86, v87, v88, v89, 1, v92, v99, v91, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_272(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: 0 = 0
f_272(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_274(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: v99 = 1 + v92
f_274(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_276(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: TRUE
f_276(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_279(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) :|: TRUE
f_279(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 2, 4) -> f_257(v85, v86, v87, v88, v89, 1, v92, v99, v93, v94, v95, v96, v97, 0, 3, 4) :|: TRUE
f_257(v85, v86, v87, v88, v89, 1, v91, v92, v93, v94, v95, v96, v97, 0, 3, 4) -> f_258(v85, v86, v87, v88, v89, 1, v92, v91, v93, v94, v95, v96, v97, 0, 3, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_258(v85:0, v86:0, v87:0, v88:0, v89:0, 1, v92:0, v91:0, v93:0, v94:0, v95:0, v96:0, v97:0, 0, 3, 4) -> f_258(v85:0, v86:0, v87:0, v88:0, v89:0, 1, 1 + v92:0, v92:0, v93:0, v94:0, v95:0, v96:0, v97:0, 0, 3, 4) :|: v85:0 > 1 && v92:0 > 0 && v92:0 < v85:0
Filtered unneeded arguments:
   f_258(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_258(x1, x7)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_258(v85:0, v92:0) -> f_258(v85:0, 1 + v92:0) :|: v92:0 > 0 && v92:0 < v85:0 && v85:0 > 1

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(16)
Obligation:
Rules:
f_258(v85:0, v92:0) -> f_258(v85:0, 1 + v92:0) :|: v92:0 > 0 && v92:0 < v85:0 && v85:0 > 1

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(17) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(18)
Obligation:
Rules:
f_258(v85:0:0, v92:0:0) -> f_258(v85:0:0, 1 + v92:0:0) :|: v92:0:0 > 0 && v92:0:0 < v85:0:0 && v85:0:0 > 1

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(19) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_258 ] = -1*f_258_2 + f_258_1

The following rules are decreasing:
f_258(v85:0:0, v92:0:0) -> f_258(v85:0:0, 1 + v92:0:0) :|: v92:0:0 > 0 && v92:0:0 < v85:0:0 && v85:0:0 > 1

The following rules are bounded:
f_258(v85:0:0, v92:0:0) -> f_258(v85:0:0, 1 + v92:0:0) :|: v92:0:0 > 0 && v92:0:0 < v85:0:0 && v85:0:0 > 1


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(20)
YES