/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 176 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 9165 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 167 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [EQUIVALENT, 1202 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: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%3 = alloca i32, align 4
		%x_ref = alloca *i32, align 8
		%y_ref = alloca *i32, align 8
		%z_ref = alloca *i32, align 8
		%c = alloca *i32, align 8
		store %x, %1
		store %y, %2
		store %z, %3
		%4 = alloca i8, numElementsLit: 4
		%5 = bitcast *i8 %4 to *i32
		store %5, %x_ref
		%6 = alloca i8, numElementsLit: 4
		%7 = bitcast *i8 %6 to *i32
		store %7, %y_ref
		%8 = alloca i8, numElementsLit: 4
		%9 = bitcast *i8 %8 to *i32
		store %9, %z_ref
		%10 = alloca i8, numElementsLit: 4
		%11 = bitcast *i8 %10 to *i32
		store %11, %c
		%12 = load %1
		%13 = load %x_ref
		store %12, %13
		%14 = load %2
		%15 = load %y_ref
		store %14, %15
		%16 = load %3
		%17 = load %z_ref
		store %16, %17
		%18 = load %c
		store 0, %18
		br %19
	19:
		%20 = load %x_ref
		%21 = load %20
		%22 = load %z_ref
		%23 = load %22
		%24 = icmp sgt %21 %23
		br %24, %25, %31
	25:
		%26 = load %y_ref
		%27 = load %26
		%28 = load %z_ref
		%29 = load %28
		%30 = icmp sgt %27 %29
		br %31
	31:
		%32 = phi [0, %19], [%30, %25]
		br %32, %33, %46
	33:
		%34 = load %x_ref
		%35 = load %34
		%36 = sub %35 1
		%37 = load %x_ref
		store %36, %37
		%38 = load %y_ref
		%39 = load %38
		%40 = sub %39 1
		%41 = load %y_ref
		store %40, %41
		%42 = load %c
		%43 = load %42
		%44 = add %43 1
		%45 = load %c
		store %44, %45
		br %19
	46:
		%47 = load %c
		%48 = load %47
		ret %48

*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 @test_fun(i32 %2, i32 %3, i32 %4)
		ret %5


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 32 rulesP rules:
f_588(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_589(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_589(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_590(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_590(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_591(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_591(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_592(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: v1369 < v1384
f_592(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_594(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_594(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_596(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE
f_596(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_598(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_598(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_600(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_600(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_602(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_602(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_604(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_604(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_606(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: v1369 < v1385
f_606(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_608(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_608(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_610(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_610(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_612(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE
f_612(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_614(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_614(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_616(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_616(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_618(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 1 + v1584 = v1384
f_618(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_620(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_620(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_621(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE
f_621(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_622(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_622(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_623(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_623(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_624(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 1 + v1586 = v1385
f_624(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_625(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_625(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_626(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE
f_626(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_627(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_627(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_628(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
f_628(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_629(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: v1588 = 1 + v1387 && 2 <= v1588
f_629(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_630(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_630(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_631(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: TRUE
f_631(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_632(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: TRUE
f_632(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_587(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE
f_587(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_588(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_588(v1367:0, v1368:0, v1369:0, v1370:0, v1371:0, v1372:0, v1373:0, v1374:0, v1375:0, v1376:0, v1377:0, v1378:0, v1379:0, v1380:0, v1381:0, 1, v1383:0, 1 + v1584:0, 1 + v1586:0, v1386:0, v1387:0, v1388:0, v1389:0, v1390:0, v1391:0, v1392:0, v1393:0, v1394:0, v1395:0, v1396:0, v1397:0, v1398:0, v1399:0, v1400:0, 0, 3, 7, 4, 8) -> f_588(v1367:0, v1368:0, v1369:0, v1370:0, v1371:0, v1372:0, v1373:0, v1374:0, v1375:0, v1376:0, v1377:0, v1378:0, v1379:0, v1380:0, 1 + v1584:0, 1, 1 + v1586:0, v1584:0, v1586:0, v1387:0, 1 + v1387:0, v1388:0, v1389:0, v1390:0, v1391:0, v1392:0, v1393:0, v1394:0, v1395:0, v1396:0, v1397:0, v1398:0, v1399:0, v1400:0, 0, 3, 7, 4, 8) :|: v1369:0 < 1 + v1584:0 && v1387:0 > 0 && v1369:0 < 1 + v1586:0
Filtered unneeded arguments:
   f_588(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) -> f_588(x3, x18, x19, x21)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_588(v1369:0, sum~cons_1~v1584:0, sum~cons_1~v1586:0, v1387:0) -> f_588(v1369:0, v1584:0, v1586:0, 1 + v1387:0) :|: v1387:0 > 0 && v1369:0 < 1 + v1586:0 && v1369:0 < 1 + v1584:0 && sum~cons_1~v1584:0 = 1 + v1584:0 && sum~cons_1~v1586:0 = 1 + v1586:0

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(8)
Obligation:
Rules:
f_588(v1369:0, sum~cons_1~v1584:0, sum~cons_1~v1586:0, v1387:0) -> f_588(v1369:0, v1584:0, v1586:0, 1 + v1387:0) :|: v1387:0 > 0 && v1369:0 < 1 + v1586:0 && v1369:0 < 1 + v1584:0 && sum~cons_1~v1584:0 = 1 + v1584:0 && sum~cons_1~v1586:0 = 1 + v1586:0

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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_588_4,1)

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(10)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := oldX1 - 1;
oldX5 := oldX2 - 1;
assume(oldX3 > 0 && oldX0 < 1 + oldX5 && oldX0 < 1 + oldX4 && oldX1 = 1 + oldX4 && oldX2 = 1 + oldX5);
x0 := oldX0;
x1 := oldX1 - 1;
x2 := oldX2 - 1;
x3 := 1 + oldX3;
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: 1-2*x0+2*x1
      RF for loc. 6: -2*x0+2*x1
      Bound for (chained) transitions 3: 2
      Bound for (chained) transitions 4: 2
    - Rank function 2:
      RF for loc. 5: 0
      RF for loc. 6: -1
      Bound for (chained) transitions 1: 0

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(12)
YES