31.77/11.38	YES
31.77/11.39	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
31.77/11.39	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
31.77/11.39	
31.77/11.39	
31.77/11.39	Termination of the given C Problem could be proven:
31.77/11.39	
31.77/11.39	(0) C Problem
31.77/11.39	(1) CToLLVMProof [EQUIVALENT, 176 ms]
31.77/11.39	(2) LLVM problem
31.77/11.39	(3) LLVMToTerminationGraphProof [EQUIVALENT, 8481 ms]
31.77/11.39	(4) LLVM Symbolic Execution Graph
31.77/11.39	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
31.77/11.39	(6) LLVM Symbolic Execution SCC
31.77/11.39	(7) SCC2IRS [SOUND, 169 ms]
31.77/11.39	(8) IntTRS
31.77/11.39	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
31.77/11.39	(10) IntTRS
31.77/11.39	(11) RankingReductionPairProof [EQUIVALENT, 28 ms]
31.77/11.39	(12) YES
31.77/11.39	
31.77/11.39	
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(0)
31.77/11.39	Obligation:
31.77/11.39	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(1) CToLLVMProof (EQUIVALENT)
31.77/11.39	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(2)
31.77/11.39	Obligation:
31.77/11.39	LLVM Problem
31.77/11.39	
31.77/11.39	Aliases:
31.77/11.39	
31.77/11.39	Data layout:
31.77/11.39	
31.77/11.39	"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"
31.77/11.39	
31.77/11.39	Machine:
31.77/11.39	
31.77/11.39	"x86_64-pc-linux-gnu"
31.77/11.39	
31.77/11.39	Type definitions:
31.77/11.39	
31.77/11.39	Global variables:
31.77/11.39	
31.77/11.39	Function declarations and definitions:
31.77/11.39	
31.77/11.39	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
31.77/11.39	*BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
31.77/11.39		0:
31.77/11.39			%1 = alloca i32, align 4
31.77/11.39			%2 = alloca i32, align 4
31.77/11.39			%3 = alloca i32, align 4
31.77/11.39			%x_ref = alloca *i32, align 8
31.77/11.39			%y_ref = alloca *i32, align 8
31.77/11.39			%z_ref = alloca *i32, align 8
31.77/11.39			%c = alloca *i32, align 8
31.77/11.39			store %x, %1
31.77/11.39			store %y, %2
31.77/11.39			store %z, %3
31.77/11.39			%4 = alloca i8, numElementsLit: 4
31.77/11.39			%5 = bitcast *i8 %4 to *i32
31.77/11.39			store %5, %x_ref
31.77/11.39			%6 = alloca i8, numElementsLit: 4
31.77/11.39			%7 = bitcast *i8 %6 to *i32
31.77/11.39			store %7, %y_ref
31.77/11.39			%8 = alloca i8, numElementsLit: 4
31.77/11.39			%9 = bitcast *i8 %8 to *i32
31.77/11.39			store %9, %z_ref
31.77/11.39			%10 = alloca i8, numElementsLit: 4
31.77/11.39			%11 = bitcast *i8 %10 to *i32
31.77/11.39			store %11, %c
31.77/11.39			%12 = load %1
31.77/11.39			%13 = load %x_ref
31.77/11.39			store %12, %13
31.77/11.39			%14 = load %2
31.77/11.39			%15 = load %y_ref
31.77/11.39			store %14, %15
31.77/11.39			%16 = load %3
31.77/11.39			%17 = load %z_ref
31.77/11.39			store %16, %17
31.77/11.39			%18 = load %c
31.77/11.39			store 0, %18
31.77/11.39			br %19
31.77/11.39		19:
31.77/11.39			%20 = load %x_ref
31.77/11.39			%21 = load %20
31.77/11.39			%22 = load %z_ref
31.77/11.39			%23 = load %22
31.77/11.39			%24 = icmp sgt %21 %23
31.77/11.39			br %24, %25, %31
31.77/11.39		25:
31.77/11.39			%26 = load %y_ref
31.77/11.39			%27 = load %26
31.77/11.39			%28 = load %z_ref
31.77/11.39			%29 = load %28
31.77/11.39			%30 = icmp sgt %27 %29
31.77/11.39			br %31
31.77/11.39		31:
31.77/11.39			%32 = phi [0, %19], [%30, %25]
31.77/11.39			br %32, %33, %46
31.77/11.39		33:
31.77/11.39			%34 = load %x_ref
31.77/11.39			%35 = load %34
31.77/11.39			%36 = sub %35 1
31.77/11.39			%37 = load %x_ref
31.77/11.39			store %36, %37
31.77/11.39			%38 = load %y_ref
31.77/11.39			%39 = load %38
31.77/11.39			%40 = sub %39 1
31.77/11.39			%41 = load %y_ref
31.77/11.39			store %40, %41
31.77/11.39			%42 = load %c
31.77/11.39			%43 = load %42
31.77/11.39			%44 = add %43 1
31.77/11.39			%45 = load %c
31.77/11.39			store %44, %45
31.77/11.39			br %19
31.77/11.39		46:
31.77/11.39			%47 = load %c
31.77/11.39			%48 = load %47
31.77/11.39			ret %48
31.77/11.39	
31.77/11.39	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
31.77/11.39		0:
31.77/11.39			%1 = alloca i32, align 4
31.77/11.39			store 0, %1
31.77/11.39			%2 = call i32 @__VERIFIER_nondet_int()
31.77/11.39			%3 = call i32 @__VERIFIER_nondet_int()
31.77/11.39			%4 = call i32 @__VERIFIER_nondet_int()
31.77/11.39			%5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4)
31.77/11.39			ret %5
31.77/11.39	
31.77/11.39	
31.77/11.39	Analyze Termination of all function calls matching the pattern:
31.77/11.39	main()
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(3) LLVMToTerminationGraphProof (EQUIVALENT)
31.77/11.39	Constructed symbolic execution graph for LLVM program and proved memory safety.
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(4)
31.77/11.39	Obligation:
31.77/11.39	SE Graph
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(5) SymbolicExecutionGraphToSCCProof (SOUND)
31.77/11.39	Splitted symbolic execution graph to 1 SCC.
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(6)
31.77/11.39	Obligation:
31.77/11.39	SCC
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(7) SCC2IRS (SOUND)
31.77/11.39	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
31.77/11.39	Generated rules. Obtained 32 rulesP rules:
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	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
31.77/11.39	Combined rules. Obtained 1 rulesP rules:
31.77/11.39	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
31.77/11.39	Filtered unneeded arguments:
31.77/11.39	   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)
31.77/11.39	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
31.77/11.39	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
31.77/11.39	
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(8)
31.77/11.39	Obligation:
31.77/11.39	Rules:
31.77/11.39	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
31.77/11.39	
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(9) IntTRSCompressionProof (EQUIVALENT)
31.77/11.39	Compressed rules.
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(10)
31.77/11.39	Obligation:
31.77/11.39	Rules:
31.77/11.39	f_588(v1369:0:0, sum~cons_1~v1584:0:0, sum~cons_1~v1586:0:0, v1387:0:0) -> f_588(v1369:0:0, v1584:0:0, v1586:0:0, 1 + v1387:0:0) :|: v1387:0:0 > 0 && v1369:0:0 < 1 + v1586:0:0 && v1369:0:0 < 1 + v1584:0:0 && sum~cons_1~v1584:0:0 = 1 + v1584:0:0 && sum~cons_1~v1586:0:0 = 1 + v1586:0:0
31.77/11.39	
31.77/11.39	----------------------------------------
31.77/11.39	
31.77/11.39	(11) RankingReductionPairProof (EQUIVALENT)
31.77/11.39	Interpretation:
31.77/11.39	[ f_588 ] = -1*f_588_1 + f_588_3
31.77/11.39	
31.77/11.39	The following rules are decreasing:
31.77/11.39	f_588(v1369:0:0, sum~cons_1~v1584:0:0, sum~cons_1~v1586:0:0, v1387:0:0) -> f_588(v1369:0:0, v1584:0:0, v1586:0:0, 1 + v1387:0:0) :|: v1387:0:0 > 0 && v1369:0:0 < 1 + v1586:0:0 && v1369:0:0 < 1 + v1584:0:0 && sum~cons_1~v1584:0:0 = 1 + v1584:0:0 && sum~cons_1~v1586:0:0 = 1 + v1586:0:0
31.77/11.39	
31.77/11.39	The following rules are bounded:
31.77/11.39	f_588(v1369:0:0, sum~cons_1~v1584:0:0, sum~cons_1~v1586:0:0, v1387:0:0) -> f_588(v1369:0:0, v1584:0:0, v1586:0:0, 1 + v1387:0:0) :|: v1387:0:0 > 0 && v1369:0:0 < 1 + v1586:0:0 && v1369:0:0 < 1 + v1584:0:0 && sum~cons_1~v1584:0:0 = 1 + v1584:0:0 && sum~cons_1~v1586:0:0 = 1 + v1586:0:0
31.77/11.40	
31.77/11.40	
31.77/11.40	----------------------------------------
31.77/11.40	
31.77/11.40	(12)
31.77/11.40	YES
31.99/11.46	EOF