11.55/3.79	YES
11.64/3.79	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
11.64/3.79	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.64/3.79	
11.64/3.79	
11.64/3.79	Termination of the given C Problem could be proven:
11.64/3.79	
11.64/3.79	(0) C Problem
11.64/3.79	(1) CToIRSProof [EQUIVALENT, 0 ms]
11.64/3.79	(2) IntTRS
11.64/3.79	(3) IRS2T2 [EQUIVALENT, 0 ms]
11.64/3.79	(4) T2IntSys
11.64/3.79	(5) T2 [EQUIVALENT, 1877 ms]
11.64/3.79	(6) YES
11.64/3.79	
11.64/3.79	
11.64/3.79	----------------------------------------
11.64/3.79	
11.64/3.79	(0)
11.64/3.79	Obligation:
11.64/3.79	c file /export/starexec/sandbox/benchmark/theBenchmark.c
11.64/3.79	----------------------------------------
11.64/3.79	
11.64/3.79	(1) CToIRSProof (EQUIVALENT)
11.64/3.79	Parsed C Integer Program as IRS.
11.64/3.79	----------------------------------------
11.64/3.79	
11.64/3.79	(2)
11.64/3.79	Obligation:
11.64/3.79	Rules:
11.64/3.79	f1(y1, y2) -> f2(x_1, y2) :|: TRUE
11.64/3.79	f2(x, x1) -> f3(x, x2) :|: TRUE
11.64/3.79	f8(x3, x4) -> f11(arith, x4) :|: TRUE && arith = x3 - x4
11.64/3.79	f9(x29, x30) -> f12(x29, x31) :|: TRUE && x31 = x30 - x29
11.64/3.79	f7(x7, x8) -> f8(x7, x8) :|: x7 > x8
11.64/3.79	f7(x9, x10) -> f9(x9, x10) :|: x9 <= x10
11.64/3.79	f11(x11, x12) -> f10(x11, x12) :|: TRUE
11.64/3.79	f12(x13, x14) -> f10(x13, x14) :|: TRUE
11.64/3.79	f4(x15, x16) -> f7(x15, x16) :|: x15 < x16
11.64/3.79	f4(x32, x33) -> f7(x32, x33) :|: x32 > x33
11.64/3.79	f10(x17, x18) -> f4(x17, x18) :|: TRUE
11.64/3.79	f4(x19, x20) -> f13(x19, x20) :|: x19 = x20
11.64/3.79	f3(x21, x22) -> f4(x21, x22) :|: x21 > 0 && x22 > 0
11.64/3.79	f3(x23, x24) -> f5(x23, x24) :|: x23 <= 0
11.64/3.79	f3(x34, x35) -> f5(x34, x35) :|: x35 <= 0
11.64/3.79	f13(x25, x26) -> f6(x25, x26) :|: TRUE
11.64/3.79	f5(x27, x28) -> f6(x27, x28) :|: TRUE
11.64/3.79	Start term: f1(y1, y2)
11.64/3.79	
11.64/3.79	----------------------------------------
11.64/3.79	
11.64/3.79	(3) IRS2T2 (EQUIVALENT)
11.64/3.79	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
11.64/3.79	
11.64/3.79	   (f1_2,1)
11.64/3.79	   (f2_2,2)
11.64/3.79	   (f3_2,3)
11.64/3.79	   (f8_2,4)
11.64/3.79	   (f11_2,5)
11.64/3.79	   (f9_2,6)
11.64/3.79	   (f12_2,7)
11.64/3.79	   (f7_2,8)
11.64/3.79	   (f10_2,9)
11.64/3.79	   (f4_2,10)
11.64/3.79	   (f13_2,11)
11.64/3.79	   (f5_2,12)
11.64/3.79	   (f6_2,13)
11.64/3.79	
11.64/3.79	----------------------------------------
11.64/3.79	
11.64/3.79	(4)
11.64/3.79	Obligation:
11.64/3.79	START: 1;
11.64/3.79	
11.64/3.79	FROM: 1;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	oldX2 := nondet();
11.64/3.79	assume(0 = 0);
11.64/3.79	x0 := oldX2;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 2;
11.64/3.79	
11.64/3.79	FROM: 2;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	oldX2 := nondet();
11.64/3.79	assume(0 = 0);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX2;
11.64/3.79	TO: 3;
11.64/3.79	
11.64/3.79	FROM: 4;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	oldX2 := -(oldX1 - oldX0);
11.64/3.79	assume(0 = 0 && oldX2 = oldX0 - oldX1);
11.64/3.79	x0 := -(oldX1 - oldX0);
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 5;
11.64/3.79	
11.64/3.79	FROM: 6;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	oldX2 := -(oldX0 - oldX1);
11.64/3.79	assume(0 = 0 && oldX2 = oldX1 - oldX0);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := -(oldX0 - oldX1);
11.64/3.79	TO: 7;
11.64/3.79	
11.64/3.79	FROM: 8;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(oldX0 > oldX1);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 4;
11.64/3.79	
11.64/3.79	FROM: 8;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(oldX0 <= oldX1);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 6;
11.64/3.79	
11.64/3.79	FROM: 5;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(0 = 0);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 9;
11.64/3.79	
11.64/3.79	FROM: 7;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(0 = 0);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 9;
11.64/3.79	
11.64/3.79	FROM: 10;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(oldX0 < oldX1);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 8;
11.64/3.79	
11.64/3.79	FROM: 10;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(oldX0 > oldX1);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 8;
11.64/3.79	
11.64/3.79	FROM: 9;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(0 = 0);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 10;
11.64/3.79	
11.64/3.79	FROM: 10;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(oldX0 = oldX1);
11.64/3.79	x0 := oldX0;
11.64/3.79	x1 := oldX1;
11.64/3.79	TO: 11;
11.64/3.79	
11.64/3.79	FROM: 3;
11.64/3.79	oldX0 := x0;
11.64/3.79	oldX1 := x1;
11.64/3.79	assume(oldX0 > 0 && oldX1 > 0);
11.64/3.80	x0 := oldX0;
11.64/3.80	x1 := oldX1;
11.64/3.80	TO: 10;
11.64/3.80	
11.64/3.80	FROM: 3;
11.64/3.80	oldX0 := x0;
11.64/3.80	oldX1 := x1;
11.64/3.80	assume(oldX0 <= 0);
11.64/3.80	x0 := oldX0;
11.64/3.80	x1 := oldX1;
11.64/3.80	TO: 12;
11.64/3.80	
11.64/3.80	FROM: 3;
11.64/3.80	oldX0 := x0;
11.64/3.80	oldX1 := x1;
11.64/3.80	assume(oldX1 <= 0);
11.64/3.80	x0 := oldX0;
11.64/3.80	x1 := oldX1;
11.64/3.80	TO: 12;
11.64/3.80	
11.64/3.80	FROM: 11;
11.64/3.80	oldX0 := x0;
11.64/3.80	oldX1 := x1;
11.64/3.80	assume(0 = 0);
11.64/3.80	x0 := oldX0;
11.64/3.80	x1 := oldX1;
11.64/3.80	TO: 13;
11.64/3.80	
11.64/3.80	FROM: 12;
11.64/3.80	oldX0 := x0;
11.64/3.80	oldX1 := x1;
11.64/3.80	assume(0 = 0);
11.64/3.80	x0 := oldX0;
11.64/3.80	x1 := oldX1;
11.64/3.80	TO: 13;
11.64/3.80	
11.64/3.80	
11.64/3.80	----------------------------------------
11.64/3.80	
11.64/3.80	(5) T2 (EQUIVALENT)
11.64/3.80	Used the following cutpoint-specific lexicographic rank functions:
11.64/3.80	 * For cutpoint 12, used the following rank functions/bounds (in descending priority order):
11.64/3.80	    - RF x1+x0, bound 2
11.64/3.80	
11.64/3.80	----------------------------------------
11.64/3.80	
11.64/3.80	(6)
11.64/3.80	YES
11.77/3.91	EOF