14.02/4.51	YES
14.02/4.51	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
14.02/4.51	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
14.02/4.51	
14.02/4.51	
14.02/4.51	Termination of the given C Problem could be proven:
14.02/4.51	
14.02/4.51	(0) C Problem
14.02/4.51	(1) CToIRSProof [EQUIVALENT, 0 ms]
14.02/4.51	(2) IntTRS
14.02/4.51	(3) IRS2T2 [EQUIVALENT, 0 ms]
14.02/4.51	(4) T2IntSys
14.02/4.51	(5) T2 [EQUIVALENT, 2529 ms]
14.02/4.51	(6) YES
14.02/4.51	
14.02/4.51	
14.02/4.51	----------------------------------------
14.02/4.51	
14.02/4.51	(0)
14.02/4.51	Obligation:
14.02/4.51	c file /export/starexec/sandbox/benchmark/theBenchmark.c
14.02/4.51	----------------------------------------
14.02/4.51	
14.02/4.51	(1) CToIRSProof (EQUIVALENT)
14.02/4.51	Parsed C Integer Program as IRS.
14.02/4.51	----------------------------------------
14.02/4.51	
14.02/4.51	(2)
14.02/4.51	Obligation:
14.02/4.51	Rules:
14.02/4.51	f1(x, y, N) -> f2(x_1, y, N) :|: TRUE
14.02/4.51	f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE
14.02/4.51	f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE
14.02/4.51	f12(x9, x10, x11) -> f15(arith, x10, x11) :|: TRUE && arith = 2 * x9 + x10
14.02/4.51	f15(x65, x66, x67) -> f16(x65, x68, x67) :|: TRUE && x68 = x66 + 1
14.02/4.51	f13(x69, x70, x71) -> f17(x72, x70, x71) :|: TRUE && x72 = x69 + 1
14.02/4.51	f11(x18, x19, x20) -> f12(x18, x19, x20) :|: x21 < 0
14.02/4.51	f11(x73, x74, x75) -> f12(x73, x74, x75) :|: x76 > 0
14.02/4.51	f11(x22, x23, x24) -> f13(x22, x23, x24) :|: x25 = 0
14.02/4.51	f16(x26, x27, x28) -> f14(x26, x27, x28) :|: TRUE
14.02/4.51	f17(x29, x30, x31) -> f14(x29, x30, x31) :|: TRUE
14.02/4.51	f8(x32, x33, x34) -> f11(x32, x33, x34) :|: x32 <= x34
14.02/4.51	f14(x35, x36, x37) -> f8(x35, x36, x37) :|: TRUE
14.02/4.51	f8(x38, x39, x40) -> f18(x38, x39, x40) :|: x38 > x40
14.02/4.51	f5(x41, x42, x43) -> f8(x41, x42, x43) :|: x41 + x42 >= 0
14.02/4.51	f5(x44, x45, x46) -> f9(x44, x45, x46) :|: x44 + x45 < 0
14.02/4.51	f18(x47, x48, x49) -> f10(x47, x48, x49) :|: TRUE
14.02/4.51	f9(x50, x51, x52) -> f10(x50, x51, x52) :|: TRUE
14.02/4.51	f4(x53, x54, x55) -> f5(x53, x54, x55) :|: x55 < 536870912 && x53 < 536870912 && x54 < 536870912 && x53 >= 0 - 1073741824
14.02/4.51	f4(x56, x57, x58) -> f6(x56, x57, x58) :|: x56 < 0 - 1073741824
14.02/4.51	f4(x77, x78, x79) -> f6(x77, x78, x79) :|: x78 >= 536870912
14.02/4.51	f4(x80, x81, x82) -> f6(x80, x81, x82) :|: x82 >= 536870912
14.02/4.51	f4(x83, x84, x85) -> f6(x83, x84, x85) :|: x83 >= 536870912
14.02/4.51	f10(x59, x60, x61) -> f7(x59, x60, x61) :|: TRUE
14.02/4.51	f6(x62, x63, x64) -> f7(x62, x63, x64) :|: TRUE
14.02/4.51	Start term: f1(x, y, N)
14.02/4.51	
14.02/4.51	----------------------------------------
14.02/4.51	
14.02/4.51	(3) IRS2T2 (EQUIVALENT)
14.02/4.51	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
14.02/4.51	
14.02/4.51	   (f1_3,1)
14.02/4.51	   (f2_3,2)
14.02/4.51	   (f3_3,3)
14.02/4.51	   (f4_3,4)
14.02/4.51	   (f12_3,5)
14.02/4.51	   (f15_3,6)
14.02/4.51	   (f16_3,7)
14.02/4.51	   (f13_3,8)
14.02/4.51	   (f17_3,9)
14.02/4.51	   (f11_3,10)
14.02/4.51	   (f14_3,11)
14.02/4.51	   (f8_3,12)
14.02/4.51	   (f18_3,13)
14.02/4.51	   (f5_3,14)
14.02/4.51	   (f9_3,15)
14.02/4.51	   (f10_3,16)
14.02/4.51	   (f6_3,17)
14.02/4.51	   (f7_3,18)
14.02/4.51	
14.02/4.51	----------------------------------------
14.02/4.51	
14.02/4.51	(4)
14.02/4.51	Obligation:
14.02/4.51	START: 1;
14.02/4.51	
14.02/4.51	FROM: 1;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := nondet();
14.02/4.51	assume(0 = 0);
14.02/4.51	x0 := oldX3;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 2;
14.02/4.51	
14.02/4.51	FROM: 2;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := nondet();
14.02/4.51	assume(0 = 0);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := oldX3;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 3;
14.02/4.51	
14.02/4.51	FROM: 3;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := nondet();
14.02/4.51	assume(0 = 0);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX3;
14.02/4.51	TO: 4;
14.02/4.51	
14.02/4.51	FROM: 5;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := nondet();
14.02/4.51	assume(0 = 0 && oldX3 = 2 * oldX0 + oldX1);
14.02/4.51	x0 := oldX3;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 6;
14.02/4.51	
14.02/4.51	FROM: 6;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := -(-(oldX1 + 1));
14.02/4.51	assume(0 = 0 && oldX3 = oldX1 + 1);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := -(-(oldX1 + 1));
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 7;
14.02/4.51	
14.02/4.51	FROM: 8;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := -(-(oldX0 + 1));
14.02/4.51	assume(0 = 0 && oldX3 = oldX0 + 1);
14.02/4.51	x0 := -(-(oldX0 + 1));
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 9;
14.02/4.51	
14.02/4.51	FROM: 10;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := nondet();
14.02/4.51	assume(oldX3 < 0);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 5;
14.02/4.51	
14.02/4.51	FROM: 10;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := nondet();
14.02/4.51	assume(oldX3 > 0);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 5;
14.02/4.51	
14.02/4.51	FROM: 10;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	oldX3 := -(0);
14.02/4.51	assume(oldX3 = 0);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 8;
14.02/4.51	
14.02/4.51	FROM: 7;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	assume(0 = 0);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 11;
14.02/4.51	
14.02/4.51	FROM: 9;
14.02/4.51	oldX0 := x0;
14.02/4.51	oldX1 := x1;
14.02/4.51	oldX2 := x2;
14.02/4.51	assume(0 = 0);
14.02/4.51	x0 := oldX0;
14.02/4.51	x1 := oldX1;
14.02/4.51	x2 := oldX2;
14.02/4.51	TO: 11;
14.02/4.51	
14.02/4.51	FROM: 12;
14.02/4.51	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX0 <= oldX2);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 10;
14.02/4.52	
14.02/4.52	FROM: 11;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(0 = 0);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 12;
14.02/4.52	
14.02/4.52	FROM: 12;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX0 > oldX2);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 13;
14.02/4.52	
14.02/4.52	FROM: 14;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX0 + oldX1 >= 0);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 12;
14.02/4.52	
14.02/4.52	FROM: 14;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX0 + oldX1 < 0);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 15;
14.02/4.52	
14.02/4.52	FROM: 13;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(0 = 0);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 16;
14.02/4.52	
14.02/4.52	FROM: 15;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(0 = 0);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 16;
14.02/4.52	
14.02/4.52	FROM: 4;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX2 < 536870912 && oldX0 < 536870912 && oldX1 < 536870912 && oldX0 >= 0 - 1073741824);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 14;
14.02/4.52	
14.02/4.52	FROM: 4;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX0 < 0 - 1073741824);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 17;
14.02/4.52	
14.02/4.52	FROM: 4;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX1 >= 536870912);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 17;
14.02/4.52	
14.02/4.52	FROM: 4;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX2 >= 536870912);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 17;
14.02/4.52	
14.02/4.52	FROM: 4;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(oldX0 >= 536870912);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 17;
14.02/4.52	
14.02/4.52	FROM: 16;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(0 = 0);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 18;
14.02/4.52	
14.02/4.52	FROM: 17;
14.02/4.52	oldX0 := x0;
14.02/4.52	oldX1 := x1;
14.02/4.52	oldX2 := x2;
14.02/4.52	assume(0 = 0);
14.02/4.52	x0 := oldX0;
14.02/4.52	x1 := oldX1;
14.02/4.52	x2 := oldX2;
14.02/4.52	TO: 18;
14.02/4.52	
14.02/4.52	
14.02/4.52	----------------------------------------
14.02/4.52	
14.02/4.52	(5) T2 (EQUIVALENT)
14.02/4.52	No proof given by T2
14.02/4.52	----------------------------------------
14.02/4.52	
14.02/4.52	(6)
14.02/4.52	YES
14.34/4.55	EOF