/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 172 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 4914 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 143 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) PolynomialOrderProcessor [EQUIVALENT, 17 ms]
(12) IntTRS
(13) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(14) IntTRS
(15) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
(16) IntTRS
(17) PolynomialOrderProcessor [EQUIVALENT, 4 ms]
(18) 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: "p" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (m i32, n i32, r i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%3 = alloca i32, align 4
		%4 = alloca i32, align 4
		store %m, %2
		store %n, %3
		store %r, %4
		%5 = load %4
		%6 = icmp sgt %5 0
		br %6, %7, %13
	7:
		%8 = load %2
		%9 = load %4
		%10 = sub %9 1
		%11 = load %3
		%12 = call i32 @p(i32 %8, i32 %10, i32 %11)
		store %12, %1
		br %24
	13:
		%14 = load %3
		%15 = icmp sgt %14 0
		br %15, %16, %22
	16:
		%17 = load %4
		%18 = load %3
		%19 = sub %18 1
		%20 = load %2
		%21 = call i32 @p(i32 %17, i32 %19, i32 %20)
		store %21, %1
		br %24
	22:
		%23 = load %2
		store %23, %1
		br %24
	24:
		%25 = load %1
		ret %25

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%m = alloca i32, align 4
		%n = alloca i32, align 4
		%r = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %m
		%3 = call i32 @__VERIFIER_nondet_int()
		store %3, %n
		%4 = call i32 @__VERIFIER_nondet_int()
		store %4, %r
		%5 = load %m
		%6 = icmp sge %5 0
		br %6, %7, %18
	7:
		%8 = load %n
		%9 = icmp sge %8 0
		br %9, %10, %18
	10:
		%11 = load %r
		%12 = icmp sge %11 0
		br %12, %13, %18
	13:
		%14 = load %m
		%15 = load %n
		%16 = load %r
		%17 = call i32 @p(i32 %14, i32 %15, i32 %16)
		br %18
	18:
		ret 0


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_294(v114, v115, v116, v141, v117, v118, v119, v120, v121, v122, v123, v124, v142, 0, v126, v127, v128, 3, 1, 4) -> f_295(v114, v115, v116, v141, v143, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, 0, v126, v127, v128, 3, 1, 4) :|: 1 <= v143 && v144 = 3 + v143 && 4 <= v144
f_295(v114, v115, v116, v141, v143, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, 0, v126, v127, v128, 3, 1, 4) -> f_296(v114, v115, v116, v141, v143, v145, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, 0, v126, v127, v128, 3, 1, 4) :|: 1 <= v145 && v146 = 3 + v145 && 4 <= v146
f_296(v114, v115, v116, v141, v143, v145, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, 0, v126, v127, v128, 3, 1, 4) -> f_297(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) :|: 1 <= v147 && v148 = 3 + v147 && 4 <= v148
f_297(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) -> f_298(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) :|: TRUE
f_298(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) -> f_299(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) :|: TRUE
f_299(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) -> f_300(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) :|: TRUE
f_300(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) -> f_301(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) :|: 0 = 0
f_301(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) -> f_302(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) :|: 0 < v116
f_301(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) -> f_303(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) :|: v116 <= 0
f_302(v114, v115, v116, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 1, 4) -> f_304(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) :|: 0 = 0
f_304(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) -> f_306(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) :|: TRUE
f_306(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) -> f_308(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) :|: 0 = 0
f_308(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) -> f_310(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) :|: 0 = 0
f_310(v114, v115, v116, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) -> f_313(v114, v115, v116, v141, v143, v145, v147, 1, v152, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) :|: 1 + v152 = v116 && 0 <= v152
f_313(v114, v115, v116, v141, v143, v145, v147, 1, v152, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) -> f_316(v114, v115, v116, v141, v143, v145, v147, 1, v152, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) :|: 0 = 0
f_316(v114, v115, v116, v141, v143, v145, v147, 1, v152, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, 0, v126, v127, v128, 3, 4) -> f_319(v114, v152, v115, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, 0, v126, v127, v128, v116, 1, 3, 4) :|: 0 = 0
f_319(v114, v152, v115, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, 0, v126, v127, v128, v116, 1, 3, 4) -> f_322(v114, v152, v115, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, 0, v126, v127, v128, v116, 3, 1, 4) :|: TRUE
f_322(v114, v152, v115, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, 0, v126, v127, v128, v116, 3, 1, 4) -> f_291(v114, v152, v115, v117, v118, v119, v120, v121, v122, v123, v124, 0, v126, v127, v128, 3, 1, 4) :|: TRUE
f_291(v114, v115, v116, v117, v118, v119, v120, v121, v122, v123, v124, 0, v126, v127, v128, 3, 1, 4) -> f_294(v114, v115, v116, v141, v117, v118, v119, v120, v121, v122, v123, v124, v142, 0, v126, v127, v128, 3, 1, 4) :|: 1 <= v141 && v142 = 3 + v141 && 4 <= v142
f_303(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) -> f_305(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) :|: 0 = 0
f_305(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) -> f_307(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) :|: TRUE
f_307(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) -> f_309(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) :|: 0 = 0
f_309(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) -> f_311(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) :|: 0 < v115
f_311(v114, v115, 0, v141, v143, v145, v147, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 1, 4) -> f_314(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) :|: 0 = 0
f_314(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) -> f_317(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) :|: TRUE
f_317(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) -> f_320(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) :|: 0 = 0
f_320(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) -> f_323(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) :|: 0 = 0
f_323(v114, v115, 0, v141, v143, v145, v147, 1, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) -> f_325(v114, v115, 0, v141, v143, v145, v147, 1, v169, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) :|: 1 + v169 = v115 && 0 <= v169
f_325(v114, v115, 0, v141, v143, v145, v147, 1, v169, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) -> f_327(v114, v115, 0, v141, v143, v145, v147, 1, v169, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) :|: 0 = 0
f_327(v114, v115, 0, v141, v143, v145, v147, 1, v169, v117, v118, v119, v120, v121, v122, v123, v124, v142, v144, v146, v148, v126, v127, v128, 3, 4) -> f_329(0, v169, v114, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, v126, v127, v128, v115, 1, 3, 4) :|: 0 = 0
f_329(0, v169, v114, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, v126, v127, v128, v115, 1, 3, 4) -> f_332(0, v169, v114, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, v126, v127, v128, v115, 3, 1, 4) :|: TRUE
f_332(0, v169, v114, v117, v118, v119, v120, v121, v122, v123, v124, v141, v142, v143, v144, v145, v146, v147, v148, v126, v127, v128, v115, 3, 1, 4) -> f_291(0, v169, v114, v117, v118, v119, v120, v121, v122, v123, v124, 0, v126, v127, v128, 3, 1, 4) :|: TRUE
Combined rules. Obtained 2 rulesP rules:
f_294(v114:0, v115:0, 1 + v152:0, v141:0, v117:0, v118:0, v119:0, v120:0, v121:0, v122:0, v123:0, v124:0, v142:0, 0, v126:0, v127:0, v128:0, 3, 1, 4) -> f_294(v114:0, v152:0, v115:0, v141:1, v117:0, v118:0, v119:0, v120:0, v121:0, v122:0, v123:0, v124:0, 3 + v141:1, 0, v126:0, v127:0, v128:0, 3, 1, 4) :|: v145:0 > 0 && v143:0 > 0 && v147:0 > 0 && v152:0 > -1 && v141:1 > 0
f_294(v114:0, 1 + v169:0, v116:0, v141:0, v117:0, v118:0, v119:0, v120:0, v121:0, v122:0, v123:0, v124:0, v142:0, 0, v126:0, v127:0, v128:0, 3, 1, 4) -> f_294(0, v169:0, v114:0, v141:1, v117:0, v118:0, v119:0, v120:0, v121:0, v122:0, v123:0, v124:0, 3 + v141:1, 0, v126:0, v127:0, v128:0, 3, 1, 4) :|: v145:0 > 0 && v143:0 > 0 && v147:0 > 0 && v116:0 < 1 && v169:0 > -1 && v141:1 > 0
Filtered unneeded arguments:
   f_294(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_294(x1, x2, x3)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_294(v114:0, v115:0, sum~cons_1~v152:0) -> f_294(v114:0, v152:0, v115:0) :|: v152:0 > -1 && sum~cons_1~v152:0 = 1 + v152:0
f_294(v114:0, sum~cons_1~v169:0, v116:0) -> f_294(0, v169:0, v114:0) :|: v116:0 < 1 && v169:0 > -1 && sum~cons_1~v169:0 = 1 + v169:0

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

(8)
Obligation:
Rules:
f_294(v114:0, v115:0, sum~cons_1~v152:0) -> f_294(v114:0, v152:0, v115:0) :|: v152:0 > -1 && sum~cons_1~v152:0 = 1 + v152:0
f_294(x, x1, x2) -> f_294(0, x3, x) :|: x2 < 1 && x3 > -1 && x1 = 1 + x3

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

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

(10)
Obligation:
Rules:
f_294(v114:0:0, v115:0:0, sum~cons_1~v152:0:0) -> f_294(v114:0:0, v152:0:0, v115:0:0) :|: v152:0:0 > -1 && sum~cons_1~v152:0:0 = 1 + v152:0:0
f_294(x:0, sum~cons_1~x3:0, x2:0) -> f_294(0, x3:0, x:0) :|: x2:0 < 1 && x3:0 > -1 && sum~cons_1~x3:0 = 1 + x3:0

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

(11) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_294(x, x1, x2)] = x^2 + x1^2 + x2^2

The following rules are decreasing:
f_294(v114:0:0, v115:0:0, sum~cons_1~v152:0:0) -> f_294(v114:0:0, v152:0:0, v115:0:0) :|: v152:0:0 > -1 && sum~cons_1~v152:0:0 = 1 + v152:0:0
f_294(x:0, sum~cons_1~x3:0, x2:0) -> f_294(0, x3:0, x:0) :|: x2:0 < 1 && x3:0 > -1 && sum~cons_1~x3:0 = 1 + x3:0
The following rules are bounded:
f_294(x:0, sum~cons_1~x3:0, x2:0) -> f_294(0, x3:0, x:0) :|: x2:0 < 1 && x3:0 > -1 && sum~cons_1~x3:0 = 1 + x3:0

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(12)
Obligation:
Rules:
f_294(v114:0:0, v115:0:0, sum~cons_1~v152:0:0) -> f_294(v114:0:0, v152:0:0, v115:0:0) :|: v152:0:0 > -1 && sum~cons_1~v152:0:0 = 1 + v152:0:0

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(13) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(14)
Obligation:
Rules:
f_294(v114:0:0:0, v115:0:0:0, sum~cons_1~v152:0:0:0) -> f_294(v114:0:0:0, v152:0:0:0, v115:0:0:0) :|: v152:0:0:0 > -1 && sum~cons_1~v152:0:0:0 = 1 + v152:0:0:0

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(15) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:

   f_294(x1, x2, x3) -> f_294(x2, x3)

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(16)
Obligation:
Rules:
f_294(v115:0:0:0, sum~cons_1~v152:0:0:0) -> f_294(v152:0:0:0, v115:0:0:0) :|: v152:0:0:0 > -1 && sum~cons_1~v152:0:0:0 = 1 + v152:0:0:0

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(17) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_294(x, x1)] = x^2 + x1^2

The following rules are decreasing:
f_294(v115:0:0:0, sum~cons_1~v152:0:0:0) -> f_294(v152:0:0:0, v115:0:0:0) :|: v152:0:0:0 > -1 && sum~cons_1~v152:0:0:0 = 1 + v152:0:0:0
The following rules are bounded:
f_294(v115:0:0:0, sum~cons_1~v152:0:0:0) -> f_294(v152:0:0:0, v115:0:0:0) :|: v152:0:0:0 > -1 && sum~cons_1~v152:0:0:0 = 1 + v152:0:0:0

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(18)
YES