/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


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


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given C Problem could be proven:

(0) C Problem
(1) CToLLVMProof [EQUIVALENT, 178 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1600 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
(6) LLVM Symbolic Execution Lasso
(7) Lasso2IRS [EQUIVALENT, 84 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [EQUIVALENT, 1223 ms]
(12) YES


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

(0)
Obligation:
c file /export/starexec/sandbox2/benchmark/theBenchmark.c
----------------------------------------

(1) CToLLVMProof (EQUIVALENT)
Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
----------------------------------------

(2)
Obligation:
LLVM Problem

Aliases:

Data layout:

"e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128-n8:16:32:64-S128"

Machine:

"x86_64-pc-linux-gnu"

Type definitions:

Global variables:

Function declarations and definitions:

*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true 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 4
		%y = alloca i32, align 4
		%z = alloca i32, align 4
		store 0, %1
		%2 = call i32 (...)* @__VERIFIER_nondet_int()
		store %2, %x
		%3 = call i32 (...)* @__VERIFIER_nondet_int()
		store %3, %y
		%4 = call i32 (...)* @__VERIFIER_nondet_int()
		store %4, %z
		br %5
	5:
		%6 = load %x
		%7 = load %y
		%8 = sub %6 %7
		%9 = icmp sgt %8 0
		br %9, %10, %18
	10:
		%11 = load %x
		%12 = sub 0 %11
		%13 = load %y
		%14 = add %12 %13
		store %14, %x
		%15 = load %z
		store %15, %y
		%16 = load %z
		%17 = add %16 1
		store %17, %z
		br %5
	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) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
Converted SEGraph to 1 independent lasso.
----------------------------------------

(6)
Obligation:
Lasso
----------------------------------------

(7) Lasso2IRS (EQUIVALENT)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 49 rulesP rules:
f_165(v56, v57, v58, v59, v60, v61, v62, v68, v64, v65, 1, v63, v67, v69, v70, v71, v72, v73, v74, 0, 3, 4) -> f_166(v56, v57, v58, v59, v60, v61, v62, v68, v69, v65, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 = 0
f_166(v56, v57, v58, v59, v60, v61, v62, v68, v69, v65, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) -> f_167(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) :|: v76 + v69 = v68
f_167(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) -> f_168(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 < v76
f_168(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) -> f_170(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 = 0
f_170(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) -> f_172(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) :|: TRUE
f_172(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v63, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) -> f_174(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 = 0
f_174(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v67, v64, v70, v71, v72, v73, v74, 0, 3, 4) -> f_175(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v64, v70, v71, v72, v73, v74, 0, 3, 4) :|: v77 + v68 = 0
f_175(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v64, v70, v71, v72, v73, v74, 0, 3, 4) -> f_176(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 = 0
f_176(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v70, v71, v72, v73, v74, 0, 3, 4) -> f_177(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) :|: v78 = v77 + v69
f_177(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) -> f_178(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) :|: TRUE
f_178(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) -> f_179(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 = 0
f_179(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) -> f_180(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) :|: TRUE
f_180(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) -> f_181(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 = 0
f_181(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v71, v72, v73, v74, 0, 3, 4) -> f_182(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v81, v71, v72, v73, v74, 0, 3, 4) :|: v81 = 1 + v70
f_182(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v81, v71, v72, v73, v74, 0, 3, 4) -> f_183(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v81, v71, v72, v73, v74, 0, 3, 4) :|: TRUE
f_183(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v81, v71, v72, v73, v74, 0, 3, 4) -> f_184(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v81, v71, v72, v73, v74, 0, 3, 4) :|: TRUE
f_184(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v81, v71, v72, v73, v74, 0, 3, 4) -> f_164(v56, v57, v58, v59, v60, v61, v62, v68, v69, v76, 1, v77, v78, v70, v81, v71, v72, v73, v74, 0, 3, 4) :|: TRUE
f_164(v56, v57, v58, v59, v60, v61, v62, v63, v64, v65, 1, v67, v68, v69, v70, v71, v72, v73, v74, 0, 3, 4) -> f_165(v56, v57, v58, v59, v60, v61, v62, v68, v64, v65, 1, v63, v67, v69, v70, v71, v72, v73, v74, 0, 3, 4) :|: 0 = 0
f_90 -> f_91(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
f_91(v1, v2, 3, 1, 4) -> f_92(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
f_92(v1, v3, v2, v4, 3, 1, 4) -> f_93(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6
f_93(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_94(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8
f_94(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_95(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_95(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_96(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_96(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_97(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_97(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_98(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_98(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_99(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_99(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_100(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_100(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_101(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_101(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_102(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE
f_102(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_103(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0
f_103(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_104(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0
f_104(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_105(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 1, 4) :|: v15 + v11 = v9
f_105(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 1, 4) -> f_106(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 < v15
f_106(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 1, 4) -> f_108(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0
f_108(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 4) -> f_110(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 4) :|: TRUE
f_110(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 4) -> f_112(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0
f_112(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 4) -> f_113(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v2, v4, v6, v8, 0, 3, 4) :|: v16 + v9 = 0
f_113(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v2, v4, v6, v8, 0, 3, 4) -> f_114(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0
f_114(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v2, v4, v6, v8, 0, 3, 4) -> f_115(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) :|: v17 = v16 + v11
f_115(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) -> f_116(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) :|: TRUE
f_116(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) -> f_117(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0
f_117(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) -> f_118(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) :|: TRUE
f_118(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) -> f_119(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0
f_119(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v2, v4, v6, v8, 0, 3, 4) -> f_120(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v20, v2, v4, v6, v8, 0, 3, 4) :|: v20 = 1 + v13
f_120(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v20, v2, v4, v6, v8, 0, 3, 4) -> f_121(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v20, v2, v4, v6, v8, 0, 3, 4) :|: TRUE
f_121(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v20, v2, v4, v6, v8, 0, 3, 4) -> f_122(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v20, v2, v4, v6, v8, 0, 3, 4) :|: TRUE
f_122(v1, v3, v5, v7, v9, v11, v13, v15, 1, v16, v17, v20, v2, v4, v6, v8, 0, 3, 4) -> f_143(v1, v3, v5, v7, v9, v11, v13, v9, v11, v15, 1, v16, v17, v13, v20, v2, v4, v6, v8, 0, 3, 4) :|: TRUE
f_143(v29, v30, v31, v32, v33, v34, v35, v36, v37, v38, 1, v40, v41, v42, v43, v44, v45, v46, v47, 0, 3, 4) -> f_164(v29, v30, v31, v32, v33, v34, v35, v36, v37, v38, 1, v40, v41, v42, v43, v44, v45, v46, v47, 0, 3, 4) :|: TRUE
Combined rules. Obtained 2 rulesP rules:
f_90 -> f_165(v1:0, v3:0, v5:0, v7:0, v15:0 + v11:0, v11:0, v13:0, v16:0 + v11:0, v11:0, v15:0, 1, v15:0 + v11:0, v16:0, v13:0, 1 + v13:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3 + v7:0, 0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v16:0 + (v15:0 + v11:0) = 0 && v15:0 > 0
f_165(v56:0, v57:0, v58:0, v59:0, v60:0, v61:0, v62:0, v76:0 + v69:0, v64:0, v65:0, 1, v63:0, v67:0, v69:0, v70:0, v71:0, v72:0, v73:0, v74:0, 0, 3, 4) -> f_165(v56:0, v57:0, v58:0, v59:0, v60:0, v61:0, v62:0, v77:0 + v69:0, v69:0, v76:0, 1, v76:0 + v69:0, v77:0, v70:0, 1 + v70:0, v71:0, v72:0, v73:0, v74:0, 0, 3, 4) :|: v77:0 + (v76:0 + v69:0) = 0 && v76:0 > 0
Filtered unneeded arguments:
   f_165(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_165(x5, x6, x8, x9, x10, x12, x13, x14, x15)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_90 -> f_165(v15:0 + v11:0, v11:0, v16:0 + v11:0, v11:0, v15:0, v15:0 + v11:0, v16:0, v13:0, 1 + v13:0) :|: v16:0 + (v15:0 + v11:0) = 0 && v15:0 > 0
f_165(v60:0, v61:0, sum~v76:0~v69:0, v64:0, v65:0, v63:0, v67:0, v69:0, v70:0) -> f_165(v60:0, v61:0, v77:0 + v69:0, v69:0, v76:0, v76:0 + v69:0, v77:0, v70:0, 1 + v70:0) :|: v77:0 + (v76:0 + v69:0) = 0 && v76:0 > 0 && sum~v76:0~v69:0 = v76:0 + v69:0

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

(8)
Obligation:
Rules:
f_90 -> f_165(v15:0 + v11:0, v11:0, v16:0 + v11:0, v11:0, v15:0, v15:0 + v11:0, v16:0, v13:0, 1 + v13:0) :|: v16:0 + (v15:0 + v11:0) = 0 && v15:0 > 0
f_165(v60:0, v61:0, sum~v76:0~v69:0, v64:0, v65:0, v63:0, v67:0, v69:0, v70:0) -> f_165(v60:0, v61:0, v77:0 + v69:0, v69:0, v76:0, v76:0 + v69:0, v77:0, v70:0, 1 + v70:0) :|: v77:0 + (v76:0 + v69:0) = 0 && v76:0 > 0 && sum~v76:0~v69:0 = v76:0 + v69:0
Start term: f_90

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

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

   (f_90_9,1)
   (f_165_9,2)

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

(10)
Obligation:
START: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := x6;
oldX7 := x7;
oldX8 := x8;
oldX9 := nondet();
oldX10 := nondet();
oldX11 := nondet();
oldX12 := nondet();
assume(oldX11 + (oldX9 + oldX10) = 0 && oldX9 > 0);
x0 := oldX9 + oldX10;
x1 := oldX10;
x2 := oldX11 + oldX10;
x3 := oldX10;
x4 := oldX9;
x5 := oldX9 + oldX10;
x6 := oldX11;
x7 := oldX12;
x8 := 1 + oldX12;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := x6;
oldX7 := x7;
oldX8 := x8;
oldX10 := oldX2 - oldX7;
oldX9 := -(oldX10 + oldX7 - 0);
assume(oldX9 + (oldX10 + oldX7) = 0 && oldX10 > 0 && oldX2 = oldX10 + oldX7);
x0 := oldX0;
x1 := oldX1;
x2 := oldX9 + oldX7;
x3 := oldX7;
x4 := oldX2 - oldX7;
x5 := oldX10 + oldX7;
x6 := -(oldX10 + oldX7 - 0);
x7 := oldX8;
x8 := 1 + oldX8;
TO: 2;


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(11) T2 (EQUIVALENT)
No proof given by T2
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(12)
YES