/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given C Problem could be proven:

(0) C Problem
(1) CToLLVMProof [EQUIVALENT, 178 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1686 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) LLVM Symbolic Execution SCC
        (8) SCC2IRS [SOUND, 125 ms]
        (9) IntTRS
        (10) IRS2T2 [EQUIVALENT, 0 ms]
        (11) T2IntSys
        (12) T2 [EQUIVALENT, 193 ms]
        (13) YES
    (14) LLVM Symbolic Execution SCC
        (15) SCC2IRS [SOUND, 61 ms]
        (16) IntTRS
        (17) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (18) IntTRS
        (19) RankingReductionPairProof [EQUIVALENT, 15 ms]
        (20) YES
    (21) LLVM Symbolic Execution SCC
        (22) SCC2IRS [SOUND, 60 ms]
        (23) IntTRS
        (24) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (25) IntTRS
        (26) RankingReductionPairProof [EQUIVALENT, 18 ms]
        (27) 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: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%x = alloca *i32, align 8
		%y = alloca *i32, align 8
		store 0, %1
		%2 = alloca i8, numElementsLit: 4
		%3 = bitcast *i8 %2 to *i32
		store %3, %x
		%4 = alloca i8, numElementsLit: 4
		%5 = bitcast *i8 %4 to *i32
		store %5, %y
		br %6
	6:
		%7 = load %x
		%8 = load %7
		%9 = icmp sgt %8 0
		br %9, %10, %14
	10:
		%11 = load %y
		%12 = load %11
		%13 = icmp sgt %12 0
		br %14
	14:
		%15 = phi [0, %6], [%13, %10]
		br %15, %16, %32
	16:
		%17 = call i32 @__VERIFIER_nondet_int()
		%18 = icmp ne %17 0
		br %18, %19, %24
	19:
		%20 = load %x
		%21 = load %20
		%22 = sub %21 1
		%23 = load %x
		store %22, %23
		br %31
	24:
		%25 = call i32 @__VERIFIER_nondet_int()
		%26 = load %x
		store %25, %26
		%27 = load %y
		%28 = load %27
		%29 = sub %28 1
		%30 = load %y
		store %29, %30
		br %31
	31:
		br %6
	32:
		%33 = load %1
		ret %33


Analyze Termination of all function calls matching the pattern:
main()
----------------------------------------

(3) LLVMToTerminationGraphProof (EQUIVALENT)
Constructed symbolic execution graph for LLVM program and proved memory safety.
----------------------------------------

(4)
Obligation:
SE Graph
----------------------------------------

(5) SymbolicExecutionGraphToSCCProof (SOUND)
Splitted symbolic execution graph to 3 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 58 rulesP rules:
f_283(v1, v3, v5, v7, v10, v234, 1, v15, 0, v13, v26, v266, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_287(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_287(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_291(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 < v266 && 2 <= v15
f_291(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_295(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_295(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_298(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_298(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_301(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_301(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_304(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_304(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_307(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: v960 != 0
f_304(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_308(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: v960 = 0
f_307(v1, v3, v5, v7, v10, v234, 1, v266, v960, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_311(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_311(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_315(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE
f_315(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v15, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_318(v1, v3, v5, v7, v10, v234, 1, v266, v960, v13, v26, v234, v15, v2, v4, v6, v8, v11, 0, 3, 7, 2, 4, 8) :|: TRUE
f_318(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1034, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_321(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1034, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_321(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1034, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_323(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_323(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1035, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_325(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 1 + v1084 = v1030 && 0 <= v1084
f_325(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_327(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_327(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_329(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: TRUE
f_329(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_331(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: TRUE
f_331(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1084, v1036, v1037, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) -> f_332(v1025, v1026, v1027, v1028, v1029, v1030, 1, v1032, v1033, v1036, v1037, v1084, v1038, v1039, v1040, v1041, v1042, 0, 3, 7, 2, 4, 8) :|: TRUE
f_332(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_334(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE
f_334(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_336(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_336(v1115, v1116, v1117, v1118, v1119, v1120, 1, v1122, v1123, v1124, v1125, v1126, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_338(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_338(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_340(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 < v1126 && 2 <= v1120 && 2 <= v1124
f_340(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_343(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_343(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_346(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE
f_346(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_349(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_349(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_353(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_353(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_357(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_357(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_360(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_360(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_361(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE
f_361(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1123, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_362(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE
f_362(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_363(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: v1583 != 0
f_362(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_364(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: v1583 = 0
f_363(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_365(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_365(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_367(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE
f_367(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) -> f_318(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, v1583, v1120, v1126, v1124, v1125, v1127, v1128, v1129, v1130, v1131, 0, 3, 7, 2, 4, 8) :|: TRUE
f_364(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) -> f_366(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: 0 = 0
f_366(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) -> f_368(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: TRUE
f_368(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1124, v1125, v1120, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) -> f_320(v1115, v1116, v1117, v1118, v1119, v1126, 1, v1122, 0, v1120, v1126, v1124, v1125, v1127, v1128, v1129, v1130, v1131, 3, 7, 2, 4, 8) :|: TRUE
f_320(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1076, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_322(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE
f_322(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_324(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0
f_324(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_326(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE
f_326(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_328(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0
f_328(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1077, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_330(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0
f_330(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_333(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 1 + v1133 = v1072 && 0 <= v1133
f_333(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_335(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0
f_335(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_337(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE
f_337(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_339(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE
f_339(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_342(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE
f_342(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_345(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0
f_345(v1065, v1066, v1067, v1068, v1069, v1070, 1, v1072, 0, v1074, v1075, v1083, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_348(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0
f_348(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_351(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 < v1083
f_351(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_355(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: 0 = 0
f_355(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_358(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) :|: TRUE
f_358(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 2, 4, 8) -> f_279(v1065, v1066, v1067, v1068, v1069, v1083, 1, v1072, 0, v1074, v1075, v1133, v1078, v1079, v1080, v1081, v1082, 3, 7, 4, 8, 2) :|: TRUE
f_279(v1, v3, v5, v7, v10, v234, 1, v15, 0, v13, v26, v266, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_283(v1, v3, v5, v7, v10, v234, 1, v15, 0, v13, v26, v266, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_308(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_312(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_312(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_316(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_316(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_320(v1, v3, v5, v7, v10, v234, 1, v266, 0, v13, v26, v234, v15, v2, v4, v6, v8, v11, 3, 7, 2, 4, 8) :|: TRUE
Combined rules. Obtained 6 rulesP rules:
f_283(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v1084:0, 1, v15:0, 0, v13:0, v26:0, v266:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) -> f_362(v1:0, v3:0, v5:0, v7:0, v10:0, v1084:0, 1, v266:0, v1583:0, 1 + v1084:0, v15:0, 1 + v1084:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v15:0 > 1 && v266:0 > 0 && v960:0 < 0
f_283(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v1084:0, 1, v15:0, 0, v13:0, v26:0, v266:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) -> f_362(v1:0, v3:0, v5:0, v7:0, v10:0, v1084:0, 1, v266:0, v1583:0, 1 + v1084:0, v15:0, 1 + v1084:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v15:0 > 1 && v266:0 > 0 && v960:0 > 0
f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1126:0, 1, 1 + v1133:0, 0, v1124:0, v1125:0, v1120:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) -> f_283(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1083:0, 1, 1 + v1133:0, 0, v1120:0, v1126:0, v1133:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 3, 7, 4, 8, 2) :|: v1083:0 > 0 && v1133:0 > -1
f_283(v1:0, v3:0, v5:0, v7:0, v10:0, v234:0, 1, v15:0, 0, v13:0, v26:0, 1 + v1133:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) -> f_283(v1:0, v3:0, v5:0, v7:0, v10:0, v1083:0, 1, 1 + v1133:0, 0, v13:0, v26:0, v1133:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8, 2) :|: v1133:0 > -1 && v15:0 > 1 && v1083:0 > 0
f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, 1 + v1084:0, 1, v1122:0, v1583:0, v1124:0, v1125:0, v1120:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) -> f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1084:0, 1, v1122:0, v1583:1, v1124:0, v1125:0, 1 + v1084:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v1583:0 < 0 && v1124:0 > 1
f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, 1 + v1084:0, 1, v1122:0, v1583:0, v1124:0, v1125:0, v1120:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) -> f_362(v1115:0, v1116:0, v1117:0, v1118:0, v1119:0, v1084:0, 1, v1122:0, v1583:1, v1124:0, v1125:0, 1 + v1084:0, v1127:0, v1128:0, v1129:0, v1130:0, v1131:0, 0, 3, 7, 2, 4, 8) :|: v1084:0 > 0 && v1583:0 > 0 && v1124:0 > 1
Filtered unneeded arguments:
   f_283(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_283(x6, x8, x12)
   f_362(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_362(x6, x8, x9, x10)
Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules:
f_283(sum~cons_1~v1084:0, v15:0, v266:0) -> f_362(v1084:0, v266:0, v1583:0, 1 + v1084:0) :|: v15:0 > 1 && v266:0 > 0 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0
f_362(v1126:0, sum~cons_1~v1133:0, cons_0, v1124:0) -> f_283(v1083:0, 1 + v1133:0, v1133:0) :|: v1083:0 > 0 && v1133:0 > -1 && sum~cons_1~v1133:0 = 1 + v1133:0 && cons_0 = 0
f_283(v234:0, v15:0, sum~cons_1~v1133:0) -> f_283(v1083:0, 1 + v1133:0, v1133:0) :|: v15:0 > 1 && v1083:0 > 0 && v1133:0 > -1 && sum~cons_1~v1133:0 = 1 + v1133:0
f_362(sum~cons_1~v1084:0, v1122:0, v1583:0, v1124:0) -> f_362(v1084:0, v1122:0, v1583:1, v1124:0) :|: v1583:0 < 0 && v1124:0 > 1 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0
f_362(sum~cons_1~v1084:0, v1122:0, v1583:0, v1124:0) -> f_362(v1084:0, v1122:0, v1583:1, v1124:0) :|: v1583:0 > 0 && v1124:0 > 1 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0

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

(9)
Obligation:
Rules:
f_283(sum~cons_1~v1084:0, v15:0, v266:0) -> f_362(v1084:0, v266:0, v1583:0, 1 + v1084:0) :|: v15:0 > 1 && v266:0 > 0 && v1084:0 > 0 && sum~cons_1~v1084:0 = 1 + v1084:0
f_362(v1126:0, sum~cons_1~v1133:0, cons_0, v1124:0) -> f_283(v1083:0, 1 + v1133:0, v1133:0) :|: v1083:0 > 0 && v1133:0 > -1 && sum~cons_1~v1133:0 = 1 + v1133:0 && cons_0 = 0
f_283(x, x1, x2) -> f_283(x3, 1 + x4, x4) :|: x1 > 1 && x3 > 0 && x4 > -1 && x2 = 1 + x4
f_362(x5, x6, x7, x8) -> f_362(x9, x6, x10, x8) :|: x7 < 0 && x8 > 1 && x9 > 0 && x5 = 1 + x9
f_362(x11, x12, x13, x14) -> f_362(x15, x12, x16, x14) :|: x13 > 0 && x14 > 1 && x15 > 0 && x11 = 1 + x15

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

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

   (f_283_4,1)
   (f_362_4,2)

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

(11)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 0;
TO: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := oldX0 - 1;
oldX5 := nondet();
assume(oldX1 > 1 && oldX2 > 0 && oldX4 > 0 && oldX0 = 1 + oldX4);
x0 := oldX0 - 1;
x1 := oldX2;
x2 := oldX5;
x3 := 1 + oldX4;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX5 := oldX1 - 1;
oldX4 := nondet();
oldX6 := nondet();
assume(oldX4 > 0 && oldX5 > -1 && oldX1 = 1 + oldX5 && oldX2 = 0);
x0 := oldX4;
x1 := 1 + oldX5;
x2 := oldX1 - 1;
x3 := oldX6;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX5 := oldX2 - 1;
oldX4 := nondet();
oldX6 := nondet();
assume(oldX1 > 1 && oldX4 > 0 && oldX5 > -1 && oldX2 = 1 + oldX5);
x0 := oldX4;
x1 := 1 + oldX5;
x2 := oldX2 - 1;
x3 := oldX6;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := oldX0 - 1;
oldX5 := nondet();
assume(oldX2 < 0 && oldX3 > 1 && oldX4 > 0 && oldX0 = 1 + oldX4);
x0 := oldX0 - 1;
x1 := oldX1;
x2 := oldX5;
x3 := oldX3;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := oldX0 - 1;
oldX5 := nondet();
assume(oldX2 > 0 && oldX3 > 1 && oldX4 > 0 && oldX0 = 1 + oldX4);
x0 := oldX0 - 1;
x1 := oldX1;
x2 := oldX5;
x3 := oldX3;
TO: 2;


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

(12) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 2, 5, 6, 14, 17, 18, 19 using the following rank functions:
    - Rank function 1:
      RF for loc. 6: 2+4*x2
      RF for loc. 7: 4*x1
      RF for loc. 8: 1+4*x2
      RF for loc. 12: 4*x1
      Bound for (chained) transitions 5: 5
      Bound for (chained) transitions 6: 5
      Bound for (chained) transitions 17: 4
    - Rank function 2:
      RF for loc. 6: 0
      RF for loc. 7: 1+2*x0
      RF for loc. 8: -1
      RF for loc. 12: 2*x0
      Bound for (chained) transitions 2: 0
      Bound for (chained) transitions 18: 4
    - Rank function 3:
      RF for loc. 7: 2*x0
      RF for loc. 12: -1+2*x0
      Bound for (chained) transitions 19: 3
    - Rank function 4:
      RF for loc. 7: 0
      RF for loc. 12: -1
      Bound for (chained) transitions 14: 0

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

(13)
YES

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

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

(15) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 26 rulesP rules:
f_189(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_192(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0
f_192(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_195(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0
f_195(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_198(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 < v25
f_198(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_202(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0
f_202(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_205(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE
f_205(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_208(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0
f_208(v1, v3, v5, v7, v10, v25, 1, v15, 0, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_211(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0
f_211(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_214(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 < v29 && 2 <= v15
f_214(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_218(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_218(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_222(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_222(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_226(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_226(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_230(v1, v3, v5, v7, v10, v25, 1, v29, v235, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_230(v1, v3, v5, v7, v10, v25, 1, v29, v235, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_235(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: v235 = 0
f_235(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_239(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_239(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_243(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_243(v1, v3, v5, v7, v10, v25, 1, v29, 0, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_247(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_247(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_251(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_251(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_255(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: TRUE
f_255(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_258(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) :|: 0 = 0
f_258(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v15, v2, v4, v6, v8, v11, 3, 7, 4, 8, 2) -> f_261(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0
f_261(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_264(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 1 + v363 = v29 && 0 <= v363
f_264(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_267(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: 0 = 0
f_267(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_270(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE
f_270(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_274(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE
f_274(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_186(v1, v3, v5, v7, v10, v25, 1, v29, 0, v257, v363, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE
f_186(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) -> f_189(v1, v3, v5, v7, v10, v13, 1, v15, 0, v25, v29, v2, v4, v6, v8, v11, 3, 7, 4, 8) :|: TRUE
Combined rules. Obtained 1 rulesP rules:
f_189(v1:0, v3:0, v5:0, v7:0, v10:0, v13:0, 1, v15:0, 0, v25:0, 1 + v363:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8) -> f_189(v1:0, v3:0, v5:0, v7:0, v10:0, v25:0, 1, 1 + v363:0, 0, v257:0, v363:0, v2:0, v4:0, v6:0, v8:0, v11:0, 3, 7, 4, 8) :|: v25:0 > 0 && v15:0 > 1 && v363:0 > -1
Filtered unneeded arguments:
   f_189(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_189(x8, x10, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_189(v15:0, v25:0, sum~cons_1~v363:0) -> f_189(1 + v363:0, v257:0, v363:0) :|: v15:0 > 1 && v363:0 > -1 && v25:0 > 0 && sum~cons_1~v363:0 = 1 + v363:0

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

(16)
Obligation:
Rules:
f_189(v15:0, v25:0, sum~cons_1~v363:0) -> f_189(1 + v363:0, v257:0, v363:0) :|: v15:0 > 1 && v363:0 > -1 && v25:0 > 0 && sum~cons_1~v363:0 = 1 + v363:0

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(17) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(18)
Obligation:
Rules:
f_189(v15:0:0, v25:0:0, sum~cons_1~v363:0:0) -> f_189(1 + v363:0:0, v257:0:0, v363:0:0) :|: v15:0:0 > 1 && v363:0:0 > -1 && v25:0:0 > 0 && sum~cons_1~v363:0:0 = 1 + v363:0:0

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

(19) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_189 ] = f_189_3

The following rules are decreasing:
f_189(v15:0:0, v25:0:0, sum~cons_1~v363:0:0) -> f_189(1 + v363:0:0, v257:0:0, v363:0:0) :|: v15:0:0 > 1 && v363:0:0 > -1 && v25:0:0 > 0 && sum~cons_1~v363:0:0 = 1 + v363:0:0

The following rules are bounded:
f_189(v15:0:0, v25:0:0, sum~cons_1~v363:0:0) -> f_189(1 + v363:0:0, v257:0:0, v363:0:0) :|: v15:0:0 > 1 && v363:0:0 > -1 && v25:0:0 > 0 && sum~cons_1~v363:0:0 = 1 + v363:0:0


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(20)
YES

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

(21)
Obligation:
SCC
----------------------------------------

(22) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 22 rulesP rules:
f_183(v1, v3, v5, v7, v10, v13, 1, v15, v24, v26, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_185(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0
f_185(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_187(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 < v26 && 2 <= v13
f_187(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_190(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_190(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_193(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE
f_193(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_196(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_196(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_200(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_200(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_204(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_204(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_207(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_207(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_210(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE
f_210(v1, v3, v5, v7, v10, v26, 1, v15, v24, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_213(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE
f_213(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_216(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: v124 != 0
f_216(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_220(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_220(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_224(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: TRUE
f_224(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_228(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) :|: 0 = 0
f_228(v1, v3, v5, v7, v10, v26, 1, v15, v124, v13, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8, 2) -> f_232(v1, v3, v5, v7, v10, v26, 1, v15, v124, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0
f_232(v1, v3, v5, v7, v10, v26, 1, v15, v124, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_236(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 1 + v236 = v26 && 0 <= v236
f_236(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_240(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0
f_240(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_244(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE
f_244(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_248(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE
f_248(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_252(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE
f_252(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_181(v1, v3, v5, v7, v10, v26, 1, v15, v124, v236, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: TRUE
f_181(v1, v3, v5, v7, v10, v13, 1, v15, v24, v26, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) -> f_183(v1, v3, v5, v7, v10, v13, 1, v15, v24, v26, v2, v4, v6, v8, v11, 0, 3, 7, 4, 8) :|: 0 = 0
Combined rules. Obtained 2 rulesP rules:
f_183(v1:0, v3:0, v5:0, v7:0, v10:0, v13:0, 1, v15:0, v24:0, 1 + v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) -> f_183(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v236:0, 1, v15:0, v124:0, v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) :|: v13:0 > 1 && v236:0 > -1 && v124:0 < 0
f_183(v1:0, v3:0, v5:0, v7:0, v10:0, v13:0, 1, v15:0, v24:0, 1 + v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) -> f_183(v1:0, v3:0, v5:0, v7:0, v10:0, 1 + v236:0, 1, v15:0, v124:0, v236:0, v2:0, v4:0, v6:0, v8:0, v11:0, 0, 3, 7, 4, 8) :|: v13:0 > 1 && v236:0 > -1 && v124:0 > 0
Filtered unneeded arguments:
   f_183(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_183(x6, x10)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_183(v13:0, sum~cons_1~v236:0) -> f_183(1 + v236:0, v236:0) :|: v13:0 > 1 && v236:0 > -1 && sum~cons_1~v236:0 = 1 + v236:0

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(23)
Obligation:
Rules:
f_183(v13:0, sum~cons_1~v236:0) -> f_183(1 + v236:0, v236:0) :|: v13:0 > 1 && v236:0 > -1 && sum~cons_1~v236:0 = 1 + v236:0

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(24) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(25)
Obligation:
Rules:
f_183(v13:0:0, sum~cons_1~v236:0:0) -> f_183(1 + v236:0:0, v236:0:0) :|: v13:0:0 > 1 && v236:0:0 > -1 && sum~cons_1~v236:0:0 = 1 + v236:0:0

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(26) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_183 ] = f_183_2

The following rules are decreasing:
f_183(v13:0:0, sum~cons_1~v236:0:0) -> f_183(1 + v236:0:0, v236:0:0) :|: v13:0:0 > 1 && v236:0:0 > -1 && sum~cons_1~v236:0:0 = 1 + v236:0:0

The following rules are bounded:
f_183(v13:0:0, sum~cons_1~v236:0:0) -> f_183(1 + v236:0:0, v236:0:0) :|: v13:0:0 > 1 && v236:0:0 > -1 && sum~cons_1~v236:0:0 = 1 + v236:0:0


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(27)
YES