17.90/5.49	NO
17.90/5.49	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
17.90/5.49	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
17.90/5.49	
17.90/5.49	
17.90/5.49	Termination of the given C Problem could be disproven:
17.90/5.49	
17.90/5.49	(0) C Problem
17.90/5.49	(1) CToIRSProof [EQUIVALENT, 0 ms]
17.90/5.49	(2) IntTRS
17.90/5.49	(3) IRS2T2 [EQUIVALENT, 0 ms]
17.90/5.49	(4) T2IntSys
17.90/5.49	(5) T2 Underapproximation [COMPLETE, 1852 ms]
17.90/5.49	(6) T2IntSys
17.90/5.49	(7) T2 [COMPLETE, 1422 ms]
17.90/5.49	(8) NO
17.90/5.49	
17.90/5.49	
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(0)
17.90/5.49	Obligation:
17.90/5.49	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(1) CToIRSProof (EQUIVALENT)
17.90/5.49	Parsed C Integer Program as IRS.
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(2)
17.90/5.49	Obligation:
17.90/5.49	Rules:
17.90/5.49	f1(x, y) -> f2(x_1, y) :|: TRUE
17.90/5.49	f2(x1, x2) -> f3(x1, x3) :|: TRUE
17.90/5.49	f7(x4, x5) -> f8(arith, x5) :|: TRUE && arith = x4 + x4 + x5
17.90/5.49	f8(x22, x23) -> f9(x22, x24) :|: TRUE && x24 = x23 + 1
17.90/5.49	f4(x8, x9) -> f7(x8, x9) :|: x8 > 0
17.90/5.49	f9(x10, x11) -> f4(x10, x11) :|: TRUE
17.90/5.49	f4(x12, x13) -> f10(x12, x13) :|: x12 <= 0
17.90/5.49	f3(x14, x15) -> f4(x14, x15) :|: x14 + x15 >= 0
17.90/5.49	f3(x16, x17) -> f5(x16, x17) :|: x16 + x17 < 0
17.90/5.49	f10(x18, x19) -> f6(x18, x19) :|: TRUE
17.90/5.49	f5(x20, x21) -> f6(x20, x21) :|: TRUE
17.90/5.49	Start term: f1(x, y)
17.90/5.49	
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(3) IRS2T2 (EQUIVALENT)
17.90/5.49	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
17.90/5.49	
17.90/5.49	   (f1_2,1)
17.90/5.49	   (f2_2,2)
17.90/5.49	   (f3_2,3)
17.90/5.49	   (f7_2,4)
17.90/5.49	   (f8_2,5)
17.90/5.49	   (f9_2,6)
17.90/5.49	   (f4_2,7)
17.90/5.49	   (f10_2,8)
17.90/5.49	   (f5_2,9)
17.90/5.49	   (f6_2,10)
17.90/5.49	
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(4)
17.90/5.49	Obligation:
17.90/5.49	START: 1;
17.90/5.49	
17.90/5.49	FROM: 1;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := nondet();
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := oldX2;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 2;
17.90/5.49	
17.90/5.49	FROM: 2;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := nondet();
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX2;
17.90/5.49	TO: 3;
17.90/5.49	
17.90/5.49	FROM: 4;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := -(-(oldX0 + oldX0 + oldX1));
17.90/5.49	assume(0 = 0 && oldX2 = oldX0 + oldX0 + oldX1);
17.90/5.49	x0 := -(-(oldX0 + oldX0 + oldX1));
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 5;
17.90/5.49	
17.90/5.49	FROM: 5;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := -(-(oldX1 + 1));
17.90/5.49	assume(0 = 0 && oldX2 = oldX1 + 1);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := -(-(oldX1 + 1));
17.90/5.49	TO: 6;
17.90/5.49	
17.90/5.49	FROM: 7;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(oldX0 > 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 4;
17.90/5.49	
17.90/5.49	FROM: 6;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 7;
17.90/5.49	
17.90/5.49	FROM: 7;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(oldX0 <= 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 8;
17.90/5.49	
17.90/5.49	FROM: 3;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(oldX0 + oldX1 >= 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 7;
17.90/5.49	
17.90/5.49	FROM: 3;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(oldX0 + oldX1 < 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 9;
17.90/5.49	
17.90/5.49	FROM: 8;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 10;
17.90/5.49	
17.90/5.49	FROM: 9;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := oldX0;
17.90/5.49	x1 := oldX1;
17.90/5.49	TO: 10;
17.90/5.49	
17.90/5.49	
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(5) T2 Underapproximation (COMPLETE)
17.90/5.49	Added the following guard statements:
17.90/5.49	
17.90/5.49	
17.90/5.49	
17.90/5.49	Transition 5:
17.90/5.49	assume(x1 >= 0);
17.90/5.49	
17.90/5.49	
17.90/5.49	
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(6)
17.90/5.49	Obligation:
17.90/5.49	START: 1;
17.90/5.49	
17.90/5.49	FROM: 1;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := nondet();
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := oldX2;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 2;
17.90/5.49	
17.90/5.49	FROM: 2;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := nondet();
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := oldX2;
17.90/5.49	TO: 3;
17.90/5.49	
17.90/5.49	FROM: 4;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := x0 + x0 + x1;
17.90/5.49	assume(0 = 0 && x0 + x0 + x1 = x0 + x0 + x1);
17.90/5.49	x0 := x0 + x0 + x1;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 5;
17.90/5.49	
17.90/5.49	FROM: 5;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	oldX2 := x1 + 1;
17.90/5.49	assume(0 = 0 && x1 + 1 = x1 + 1);
17.90/5.49	x0 := x0;
17.90/5.49	assume(x1 >= 0);
17.90/5.49	x1 := x1 + 1;
17.90/5.49	TO: 6;
17.90/5.49	
17.90/5.49	FROM: 7;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(x0 > 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 4;
17.90/5.49	
17.90/5.49	FROM: 6;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 7;
17.90/5.49	
17.90/5.49	FROM: 7;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(x0 <= 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 8;
17.90/5.49	
17.90/5.49	FROM: 3;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(x0 + x1 >= 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 7;
17.90/5.49	
17.90/5.49	FROM: 3;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(x0 + x1 < 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 9;
17.90/5.49	
17.90/5.49	FROM: 8;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 10;
17.90/5.49	
17.90/5.49	FROM: 9;
17.90/5.49	oldX0 := x0;
17.90/5.49	oldX1 := x1;
17.90/5.49	assume(0 = 0);
17.90/5.49	x0 := x0;
17.90/5.49	x1 := x1;
17.90/5.49	TO: 10;
17.90/5.49	
17.90/5.49	
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(7) T2 (COMPLETE)
17.90/5.49	Found this recurrent set for cutpoint 7: oldX2-x1 <= 0 and 0 <= x1+x0 and -x0+1 <= 0
17.90/5.49	
17.90/5.49	----------------------------------------
17.90/5.49	
17.90/5.49	(8)
17.90/5.49	NO
18.21/7.16	EOF