17.25/5.21	YES
17.54/5.22	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
17.54/5.22	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
17.54/5.22	
17.54/5.22	
17.54/5.22	Termination of the given C Problem could be proven:
17.54/5.22	
17.54/5.22	(0) C Problem
17.54/5.22	(1) CToIRSProof [EQUIVALENT, 0 ms]
17.54/5.22	(2) IntTRS
17.54/5.22	(3) IRS2T2 [EQUIVALENT, 0 ms]
17.54/5.22	(4) T2IntSys
17.54/5.22	(5) T2 [EQUIVALENT, 2699 ms]
17.54/5.22	(6) YES
17.54/5.22	
17.54/5.22	
17.54/5.22	----------------------------------------
17.54/5.22	
17.54/5.22	(0)
17.54/5.22	Obligation:
17.54/5.22	c file /export/starexec/sandbox/benchmark/theBenchmark.c
17.54/5.22	----------------------------------------
17.54/5.22	
17.54/5.22	(1) CToIRSProof (EQUIVALENT)
17.54/5.22	Parsed C Integer Program as IRS.
17.54/5.22	----------------------------------------
17.54/5.22	
17.54/5.22	(2)
17.54/5.22	Obligation:
17.54/5.22	Rules:
17.54/5.22	f1(r, da, db, temp) -> f2(x_1, da, db, temp) :|: TRUE
17.54/5.22	f3(x, x1, x2, x3) -> f6(x, arith, x2, x3) :|: TRUE && arith = 2 * x
17.54/5.22	f6(x70, x71, x72, x73) -> f7(x70, x71, x74, x73) :|: TRUE && x74 = 2 * x70
17.54/5.22	f9(x75, x76, x77, x78) -> f12(x75, x79, x77, x78) :|: TRUE && x79 = x76 - 1
17.54/5.22	f10(x12, x13, x14, x15) -> f13(x12, x13, x14, x13) :|: TRUE
17.54/5.22	f13(x80, x81, x82, x83) -> f14(x80, x84, x82, x83) :|: TRUE && x84 = x82 - 1
17.54/5.22	f14(x20, x21, x22, x23) -> f15(x20, x21, x21, x23) :|: TRUE
17.54/5.22	f8(x24, x25, x26, x27) -> f9(x24, x25, x26, x27) :|: x28 < 0
17.54/5.22	f8(x85, x86, x87, x88) -> f9(x85, x86, x87, x88) :|: x89 > 0
17.54/5.22	f8(x29, x30, x31, x32) -> f10(x29, x30, x31, x32) :|: x33 = 0
17.54/5.22	f12(x34, x35, x36, x37) -> f11(x34, x35, x36, x37) :|: TRUE
17.54/5.22	f15(x38, x39, x40, x41) -> f11(x38, x39, x40, x41) :|: TRUE
17.54/5.22	f7(x42, x43, x44, x45) -> f8(x42, x43, x44, x45) :|: x43 >= x42
17.54/5.22	f11(x46, x47, x48, x49) -> f7(x46, x47, x48, x49) :|: TRUE
17.54/5.22	f7(x50, x51, x52, x53) -> f16(x50, x51, x52, x53) :|: x51 < x50
17.54/5.22	f2(x54, x55, x56, x57) -> f3(x54, x55, x56, x57) :|: x54 >= 0
17.54/5.22	f2(x58, x59, x60, x61) -> f4(x58, x59, x60, x61) :|: x58 < 0
17.54/5.22	f16(x62, x63, x64, x65) -> f5(x62, x63, x64, x65) :|: TRUE
17.54/5.22	f4(x66, x67, x68, x69) -> f5(x66, x67, x68, x69) :|: TRUE
17.54/5.22	Start term: f1(r, da, db, temp)
17.54/5.22	
17.54/5.22	----------------------------------------
17.54/5.22	
17.54/5.22	(3) IRS2T2 (EQUIVALENT)
17.54/5.22	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
17.54/5.22	
17.54/5.22	   (f1_4,1)
17.54/5.22	   (f2_4,2)
17.54/5.22	   (f3_4,3)
17.54/5.22	   (f6_4,4)
17.54/5.22	   (f7_4,5)
17.54/5.22	   (f9_4,6)
17.54/5.22	   (f12_4,7)
17.54/5.22	   (f10_4,8)
17.54/5.22	   (f13_4,9)
17.54/5.22	   (f14_4,10)
17.54/5.22	   (f15_4,11)
17.54/5.22	   (f8_4,12)
17.54/5.22	   (f11_4,13)
17.54/5.22	   (f16_4,14)
17.54/5.22	   (f4_4,15)
17.54/5.22	   (f5_4,16)
17.54/5.22	
17.54/5.22	----------------------------------------
17.54/5.22	
17.54/5.22	(4)
17.54/5.22	Obligation:
17.54/5.22	START: 1;
17.54/5.22	
17.54/5.22	FROM: 1;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := nondet();
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX4;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 2;
17.54/5.22	
17.54/5.22	FROM: 3;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := nondet();
17.54/5.22	assume(0 = 0 && oldX4 = 2 * oldX0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX4;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 4;
17.54/5.22	
17.54/5.22	FROM: 4;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := nondet();
17.54/5.22	assume(0 = 0 && oldX4 = 2 * oldX0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX4;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 5;
17.54/5.22	
17.54/5.22	FROM: 6;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := -(1 - oldX1);
17.54/5.22	assume(0 = 0 && oldX4 = oldX1 - 1);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := -(1 - oldX1);
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 7;
17.54/5.22	
17.54/5.22	FROM: 8;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX1;
17.54/5.22	TO: 9;
17.54/5.22	
17.54/5.22	FROM: 9;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := -(1 - oldX2);
17.54/5.22	assume(0 = 0 && oldX4 = oldX2 - 1);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := -(1 - oldX2);
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 10;
17.54/5.22	
17.54/5.22	FROM: 10;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX1;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 11;
17.54/5.22	
17.54/5.22	FROM: 12;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := nondet();
17.54/5.22	assume(oldX4 < 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 6;
17.54/5.22	
17.54/5.22	FROM: 12;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := nondet();
17.54/5.22	assume(oldX4 > 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 6;
17.54/5.22	
17.54/5.22	FROM: 12;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	oldX4 := -(0);
17.54/5.22	assume(oldX4 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 8;
17.54/5.22	
17.54/5.22	FROM: 7;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 13;
17.54/5.22	
17.54/5.22	FROM: 11;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 13;
17.54/5.22	
17.54/5.22	FROM: 5;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(oldX1 >= oldX0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 12;
17.54/5.22	
17.54/5.22	FROM: 13;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 5;
17.54/5.22	
17.54/5.22	FROM: 5;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(oldX1 < oldX0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 14;
17.54/5.22	
17.54/5.22	FROM: 2;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(oldX0 >= 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 3;
17.54/5.22	
17.54/5.22	FROM: 2;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(oldX0 < 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 15;
17.54/5.22	
17.54/5.22	FROM: 14;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 16;
17.54/5.22	
17.54/5.22	FROM: 15;
17.54/5.22	oldX0 := x0;
17.54/5.22	oldX1 := x1;
17.54/5.22	oldX2 := x2;
17.54/5.22	oldX3 := x3;
17.54/5.22	assume(0 = 0);
17.54/5.22	x0 := oldX0;
17.54/5.22	x1 := oldX1;
17.54/5.22	x2 := oldX2;
17.54/5.22	x3 := oldX3;
17.54/5.22	TO: 16;
17.54/5.22	
17.54/5.22	
17.54/5.22	----------------------------------------
17.54/5.22	
17.54/5.22	(5) T2 (EQUIVALENT)
17.54/5.22	Used the following cutpoint-specific lexicographic rank functions:
17.54/5.22	 * For cutpoint 13, used the following rank functions/bounds (in descending priority order):
17.54/5.22	    - RF x1, bound 0
17.54/5.22	
17.54/5.22	----------------------------------------
17.54/5.22	
17.54/5.22	(6)
17.54/5.22	YES
17.60/5.31	EOF