10.79/3.58	YES
10.79/3.59	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
10.79/3.59	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.79/3.59	
10.79/3.59	
10.79/3.59	Termination of the given C Problem could be proven:
10.79/3.59	
10.79/3.59	(0) C Problem
10.79/3.59	(1) CToIRSProof [EQUIVALENT, 0 ms]
10.79/3.59	(2) IntTRS
10.79/3.59	(3) IRS2T2 [EQUIVALENT, 8 ms]
10.79/3.59	(4) T2IntSys
10.79/3.59	(5) T2 [EQUIVALENT, 1718 ms]
10.79/3.59	(6) YES
10.79/3.59	
10.79/3.59	
10.79/3.59	----------------------------------------
10.79/3.59	
10.79/3.59	(0)
10.79/3.59	Obligation:
10.79/3.59	c file /export/starexec/sandbox/benchmark/theBenchmark.c
10.79/3.59	----------------------------------------
10.79/3.59	
10.79/3.59	(1) CToIRSProof (EQUIVALENT)
10.79/3.59	Parsed C Integer Program as IRS.
10.79/3.59	----------------------------------------
10.79/3.59	
10.79/3.59	(2)
10.79/3.59	Obligation:
10.79/3.59	Rules:
10.79/3.59	f1(i, x, n, b, t) -> f2(x_1, x, n, b, t) :|: TRUE
10.79/3.59	f2(x1, x2, x3, x4, x5) -> f3(x1, x6, x3, x4, x5) :|: TRUE
10.79/3.59	f3(x7, x8, x9, x10, x11) -> f4(x7, x8, x12, x10, x11) :|: TRUE
10.79/3.59	f4(x13, x14, x15, x16, x17) -> f5(x13, x14, x15, x18, x17) :|: TRUE
10.79/3.59	f6(x19, x20, x21, x22, x23) -> f9(x19, x20, x21, x22, 1) :|: TRUE
10.79/3.59	f7(x24, x25, x26, x27, x28) -> f10(x24, x25, x26, x27, arith) :|: TRUE && arith = 0 - 1
10.79/3.59	f5(x29, x30, x31, x32, x33) -> f6(x29, x30, x31, x32, x33) :|: x32 >= 1
10.79/3.59	f5(x34, x35, x36, x37, x38) -> f7(x34, x35, x36, x37, x38) :|: x37 < 1
10.79/3.59	f9(x39, x40, x41, x42, x43) -> f8(x39, x40, x41, x42, x43) :|: TRUE
10.79/3.59	f10(x44, x45, x46, x47, x48) -> f8(x44, x45, x46, x47, x48) :|: TRUE
10.79/3.59	f12(x94, x95, x96, x97, x98) -> f15(x94, x99, x96, x97, x98) :|: TRUE && x99 = x95 + x98
10.79/3.59	f13(x100, x101, x102, x103, x104) -> f16(x100, x105, x102, x103, x104) :|: TRUE && x105 = x101 - x104
10.79/3.59	f11(x59, x60, x61, x62, x63) -> f12(x59, x60, x61, x62, x63) :|: x62 >= 1
10.79/3.59	f11(x64, x65, x66, x67, x68) -> f13(x64, x65, x66, x67, x68) :|: x67 < 1
10.79/3.59	f15(x69, x70, x71, x72, x73) -> f14(x69, x70, x71, x72, x73) :|: TRUE
10.79/3.59	f16(x74, x75, x76, x77, x78) -> f14(x74, x75, x76, x77, x78) :|: TRUE
10.79/3.59	f8(x79, x80, x81, x82, x83) -> f11(x79, x80, x81, x82, x83) :|: x80 <= x81
10.79/3.59	f14(x84, x85, x86, x87, x88) -> f8(x84, x85, x86, x87, x88) :|: TRUE
10.79/3.59	f8(x89, x90, x91, x92, x93) -> f17(x89, x90, x91, x92, x93) :|: x90 > x91
10.79/3.59	Start term: f1(i, x, n, b, t)
10.79/3.59	
10.79/3.59	----------------------------------------
10.79/3.59	
10.79/3.59	(3) IRS2T2 (EQUIVALENT)
10.79/3.59	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
10.79/3.59	
10.79/3.59	   (f1_5,1)
10.79/3.59	   (f2_5,2)
10.79/3.59	   (f3_5,3)
10.79/3.59	   (f4_5,4)
10.79/3.59	   (f5_5,5)
10.79/3.59	   (f6_5,6)
10.79/3.59	   (f9_5,7)
10.79/3.59	   (f7_5,8)
10.79/3.59	   (f10_5,9)
10.79/3.59	   (f8_5,10)
10.79/3.59	   (f12_5,11)
10.79/3.59	   (f15_5,12)
10.79/3.59	   (f13_5,13)
10.79/3.59	   (f16_5,14)
10.79/3.59	   (f11_5,15)
10.79/3.59	   (f14_5,16)
10.79/3.59	   (f17_5,17)
10.79/3.59	
10.79/3.59	----------------------------------------
10.79/3.59	
10.79/3.59	(4)
10.79/3.59	Obligation:
10.79/3.59	START: 1;
10.79/3.59	
10.79/3.59	FROM: 1;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	oldX5 := nondet();
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX5;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 2;
10.79/3.59	
10.79/3.59	FROM: 2;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	oldX5 := nondet();
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX5;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 3;
10.79/3.59	
10.79/3.59	FROM: 3;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	oldX5 := nondet();
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX5;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 4;
10.79/3.59	
10.79/3.59	FROM: 4;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	oldX5 := nondet();
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX5;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 5;
10.79/3.59	
10.79/3.59	FROM: 6;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := 1;
10.79/3.59	TO: 7;
10.79/3.59	
10.79/3.59	FROM: 8;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	oldX5 := -(1);
10.79/3.59	assume(0 = 0 && oldX5 = 0 - 1);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := -(1);
10.79/3.59	TO: 9;
10.79/3.59	
10.79/3.59	FROM: 5;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(oldX3 >= 1);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 6;
10.79/3.59	
10.79/3.59	FROM: 5;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(oldX3 < 1);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 8;
10.79/3.59	
10.79/3.59	FROM: 7;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 10;
10.79/3.59	
10.79/3.59	FROM: 9;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 10;
10.79/3.59	
10.79/3.59	FROM: 11;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	oldX5 := -(-(oldX1 + oldX4));
10.79/3.59	assume(0 = 0 && oldX5 = oldX1 + oldX4);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := -(-(oldX1 + oldX4));
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 12;
10.79/3.59	
10.79/3.59	FROM: 13;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	oldX5 := -(oldX4 - oldX1);
10.79/3.59	assume(0 = 0 && oldX5 = oldX1 - oldX4);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := -(oldX4 - oldX1);
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 14;
10.79/3.59	
10.79/3.59	FROM: 15;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(oldX3 >= 1);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 11;
10.79/3.59	
10.79/3.59	FROM: 15;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(oldX3 < 1);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 13;
10.79/3.59	
10.79/3.59	FROM: 12;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 16;
10.79/3.59	
10.79/3.59	FROM: 14;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 16;
10.79/3.59	
10.79/3.59	FROM: 10;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(oldX1 <= oldX2);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 15;
10.79/3.59	
10.79/3.59	FROM: 16;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(0 = 0);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 10;
10.79/3.59	
10.79/3.59	FROM: 10;
10.79/3.59	oldX0 := x0;
10.79/3.59	oldX1 := x1;
10.79/3.59	oldX2 := x2;
10.79/3.59	oldX3 := x3;
10.79/3.59	oldX4 := x4;
10.79/3.59	assume(oldX1 > oldX2);
10.79/3.59	x0 := oldX0;
10.79/3.59	x1 := oldX1;
10.79/3.59	x2 := oldX2;
10.79/3.59	x3 := oldX3;
10.79/3.59	x4 := oldX4;
10.79/3.59	TO: 17;
10.79/3.59	
10.79/3.59	
10.79/3.59	----------------------------------------
10.79/3.59	
10.79/3.59	(5) T2 (EQUIVALENT)
10.79/3.59	Used the following cutpoint-specific lexicographic rank functions:
10.79/3.59	 * For cutpoint 9, used the following rank functions/bounds (in descending priority order):
10.79/3.59	    - RF x2-x1, bound 0
10.79/3.59	
10.79/3.59	----------------------------------------
10.79/3.59	
10.79/3.59	(6)
10.79/3.59	YES
10.79/3.66	EOF