9.60/3.28	YES
9.60/3.30	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
9.60/3.30	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.60/3.30	
9.60/3.30	
9.60/3.30	Termination of the given C Problem could be proven:
9.60/3.30	
9.60/3.30	(0) C Problem
9.60/3.30	(1) CToIRSProof [EQUIVALENT, 0 ms]
9.60/3.30	(2) IntTRS
9.60/3.30	(3) IRS2T2 [EQUIVALENT, 0 ms]
9.60/3.30	(4) T2IntSys
9.60/3.30	(5) T2 [EQUIVALENT, 1326 ms]
9.60/3.30	(6) YES
9.60/3.30	
9.60/3.30	
9.60/3.30	----------------------------------------
9.60/3.30	
9.60/3.30	(0)
9.60/3.30	Obligation:
9.60/3.30	c file /export/starexec/sandbox/benchmark/theBenchmark.c
9.60/3.30	----------------------------------------
9.60/3.30	
9.60/3.30	(1) CToIRSProof (EQUIVALENT)
9.60/3.30	Parsed C Integer Program as IRS.
9.60/3.30	----------------------------------------
9.60/3.30	
9.60/3.30	(2)
9.60/3.30	Obligation:
9.60/3.30	Rules:
9.60/3.30	f1(x, y) -> f2(x_1, y) :|: TRUE
9.60/3.30	f2(x1, x2) -> f3(x1, x3) :|: TRUE
9.60/3.30	f7(x4, x5) -> f8(arith, x5) :|: TRUE && arith = x4 - 2 * x5 + 1
9.60/3.30	f4(x6, x7) -> f7(x6, x7) :|: x6 >= 0
9.60/3.30	f8(x8, x9) -> f4(x8, x9) :|: TRUE
9.60/3.30	f4(x10, x11) -> f9(x10, x11) :|: x10 < 0
9.60/3.30	f3(x12, x13) -> f4(x12, x13) :|: 2 * x13 >= 1
9.60/3.30	f3(x14, x15) -> f5(x14, x15) :|: 2 * x15 < 1
9.60/3.30	f9(x16, x17) -> f6(x16, x17) :|: TRUE
9.60/3.30	f5(x18, x19) -> f6(x18, x19) :|: TRUE
9.60/3.30	Start term: f1(x, y)
9.60/3.30	
9.60/3.30	----------------------------------------
9.60/3.30	
9.60/3.30	(3) IRS2T2 (EQUIVALENT)
9.60/3.30	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
9.60/3.30	
9.60/3.30	   (f1_2,1)
9.60/3.30	   (f2_2,2)
9.60/3.30	   (f3_2,3)
9.60/3.30	   (f7_2,4)
9.60/3.30	   (f8_2,5)
9.60/3.30	   (f4_2,6)
9.60/3.30	   (f9_2,7)
9.60/3.30	   (f5_2,8)
9.60/3.30	   (f6_2,9)
9.60/3.30	
9.60/3.30	----------------------------------------
9.60/3.30	
9.60/3.30	(4)
9.60/3.30	Obligation:
9.60/3.30	START: 1;
9.60/3.30	
9.60/3.30	FROM: 1;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	oldX2 := nondet();
9.60/3.30	assume(0 = 0);
9.60/3.30	x0 := oldX2;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 2;
9.60/3.30	
9.60/3.30	FROM: 2;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	oldX2 := nondet();
9.60/3.30	assume(0 = 0);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX2;
9.60/3.30	TO: 3;
9.60/3.30	
9.60/3.30	FROM: 4;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	oldX2 := nondet();
9.60/3.30	assume(0 = 0 && oldX2 = oldX0 - 2 * oldX1 + 1);
9.60/3.30	x0 := oldX2;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 5;
9.60/3.30	
9.60/3.30	FROM: 6;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	assume(oldX0 >= 0);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 4;
9.60/3.30	
9.60/3.30	FROM: 5;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	assume(0 = 0);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 6;
9.60/3.30	
9.60/3.30	FROM: 6;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	assume(oldX0 < 0);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 7;
9.60/3.30	
9.60/3.30	FROM: 3;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	assume(2 * oldX1 >= 1);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 6;
9.60/3.30	
9.60/3.30	FROM: 3;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	assume(2 * oldX1 < 1);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 8;
9.60/3.30	
9.60/3.30	FROM: 7;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	assume(0 = 0);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 9;
9.60/3.30	
9.60/3.30	FROM: 8;
9.60/3.30	oldX0 := x0;
9.60/3.30	oldX1 := x1;
9.60/3.30	assume(0 = 0);
9.60/3.30	x0 := oldX0;
9.60/3.30	x1 := oldX1;
9.60/3.30	TO: 9;
9.60/3.30	
9.60/3.30	
9.60/3.30	----------------------------------------
9.60/3.30	
9.60/3.30	(5) T2 (EQUIVALENT)
9.60/3.30	Used the following cutpoint-specific lexicographic rank functions:
9.60/3.30	 * For cutpoint 7, used the following rank functions/bounds (in descending priority order):
9.60/3.30	    - RF x0, bound 0
9.60/3.30	
9.60/3.30	----------------------------------------
9.60/3.30	
9.60/3.30	(6)
9.60/3.30	YES
9.95/3.37	EOF