9.04/3.18	YES
9.04/3.19	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
9.04/3.19	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.04/3.19	
9.04/3.19	
9.04/3.19	Termination of the given C Problem could be proven:
9.04/3.19	
9.04/3.19	(0) C Problem
9.04/3.19	(1) CToIRSProof [EQUIVALENT, 0 ms]
9.04/3.19	(2) IntTRS
9.04/3.19	(3) IRS2T2 [EQUIVALENT, 0 ms]
9.04/3.19	(4) T2IntSys
9.04/3.19	(5) T2 [EQUIVALENT, 1364 ms]
9.04/3.19	(6) YES
9.04/3.19	
9.04/3.19	
9.04/3.19	----------------------------------------
9.04/3.19	
9.04/3.19	(0)
9.04/3.19	Obligation:
9.04/3.19	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
9.04/3.19	----------------------------------------
9.04/3.19	
9.04/3.19	(1) CToIRSProof (EQUIVALENT)
9.04/3.19	Parsed C Integer Program as IRS.
9.04/3.19	----------------------------------------
9.04/3.19	
9.04/3.19	(2)
9.04/3.19	Obligation:
9.04/3.19	Rules:
9.04/3.19	f1(x, y, d) -> f2(x_1, y, d) :|: TRUE
9.04/3.19	f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE
9.04/3.19	f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE
9.04/3.19	f6(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 - 1
9.04/3.19	f9(x12, x13, x14) -> f10(x12, x13, x15) :|: TRUE
9.04/3.19	f7(x16, x17, x18) -> f11(x19, x17, x18) :|: TRUE
9.04/3.19	f11(x49, x50, x51) -> f12(x49, x52, x51) :|: TRUE && x52 = x50 - 1
9.04/3.19	f12(x53, x54, x55) -> f13(x53, x54, x56) :|: TRUE && x56 = x55 - 1
9.04/3.19	f5(x26, x27, x28) -> f6(x26, x27, x28) :|: x29 < 0
9.04/3.19	f5(x57, x58, x59) -> f6(x57, x58, x59) :|: x60 > 0
9.04/3.19	f5(x30, x31, x32) -> f7(x30, x31, x32) :|: x33 = 0
9.04/3.19	f10(x34, x35, x36) -> f8(x34, x35, x36) :|: TRUE
9.04/3.19	f13(x37, x38, x39) -> f8(x37, x38, x39) :|: TRUE
9.04/3.19	f4(x40, x41, x42) -> f5(x40, x41, x42) :|: x40 > 0 && x41 > 0 && x42 > 0
9.04/3.19	f8(x43, x44, x45) -> f4(x43, x44, x45) :|: TRUE
9.04/3.19	f4(x46, x47, x48) -> f14(x46, x47, x48) :|: x48 <= 0
9.04/3.19	f4(x61, x62, x63) -> f14(x61, x62, x63) :|: x61 <= 0
9.04/3.19	f4(x64, x65, x66) -> f14(x64, x65, x66) :|: x65 <= 0
9.04/3.19	Start term: f1(x, y, d)
9.04/3.19	
9.04/3.19	----------------------------------------
9.04/3.19	
9.04/3.19	(3) IRS2T2 (EQUIVALENT)
9.04/3.19	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
9.04/3.19	
9.04/3.19	   (f1_3,1)
9.04/3.19	   (f2_3,2)
9.04/3.19	   (f3_3,3)
9.04/3.19	   (f4_3,4)
9.04/3.19	   (f6_3,5)
9.04/3.19	   (f9_3,6)
9.04/3.19	   (f10_3,7)
9.04/3.19	   (f7_3,8)
9.04/3.19	   (f11_3,9)
9.04/3.19	   (f12_3,10)
9.04/3.19	   (f13_3,11)
9.04/3.19	   (f5_3,12)
9.04/3.19	   (f8_3,13)
9.04/3.19	   (f14_3,14)
9.04/3.19	
9.04/3.19	----------------------------------------
9.04/3.19	
9.04/3.19	(4)
9.04/3.19	Obligation:
9.04/3.19	START: 1;
9.04/3.19	
9.04/3.19	FROM: 1;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := nondet();
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX3;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 2;
9.04/3.19	
9.04/3.19	FROM: 2;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := nondet();
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX3;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 3;
9.04/3.19	
9.04/3.19	FROM: 3;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := nondet();
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX3;
9.04/3.19	TO: 4;
9.04/3.19	
9.04/3.19	FROM: 5;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := -(1 - oldX0);
9.04/3.19	assume(0 = 0 && oldX3 = oldX0 - 1);
9.04/3.19	x0 := -(1 - oldX0);
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 6;
9.04/3.19	
9.04/3.19	FROM: 6;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := nondet();
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX3;
9.04/3.19	TO: 7;
9.04/3.19	
9.04/3.19	FROM: 8;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := nondet();
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX3;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 9;
9.04/3.19	
9.04/3.19	FROM: 9;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := -(1 - oldX1);
9.04/3.19	assume(0 = 0 && oldX3 = oldX1 - 1);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := -(1 - oldX1);
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 10;
9.04/3.19	
9.04/3.19	FROM: 10;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := -(1 - oldX2);
9.04/3.19	assume(0 = 0 && oldX3 = oldX2 - 1);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := -(1 - oldX2);
9.04/3.19	TO: 11;
9.04/3.19	
9.04/3.19	FROM: 12;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := nondet();
9.04/3.19	assume(oldX3 < 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 5;
9.04/3.19	
9.04/3.19	FROM: 12;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := nondet();
9.04/3.19	assume(oldX3 > 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 5;
9.04/3.19	
9.04/3.19	FROM: 12;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	oldX3 := -(0);
9.04/3.19	assume(oldX3 = 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 8;
9.04/3.19	
9.04/3.19	FROM: 7;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 13;
9.04/3.19	
9.04/3.19	FROM: 11;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 13;
9.04/3.19	
9.04/3.19	FROM: 4;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	assume(oldX0 > 0 && oldX1 > 0 && oldX2 > 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 12;
9.04/3.19	
9.04/3.19	FROM: 13;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	assume(0 = 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 4;
9.04/3.19	
9.04/3.19	FROM: 4;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	assume(oldX2 <= 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 14;
9.04/3.19	
9.04/3.19	FROM: 4;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	assume(oldX0 <= 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 14;
9.04/3.19	
9.04/3.19	FROM: 4;
9.04/3.19	oldX0 := x0;
9.04/3.19	oldX1 := x1;
9.04/3.19	oldX2 := x2;
9.04/3.19	assume(oldX1 <= 0);
9.04/3.19	x0 := oldX0;
9.04/3.19	x1 := oldX1;
9.04/3.19	x2 := oldX2;
9.04/3.19	TO: 14;
9.04/3.19	
9.04/3.19	
9.04/3.19	----------------------------------------
9.04/3.19	
9.04/3.19	(5) T2 (EQUIVALENT)
9.04/3.19	Initially, performed program simplifications using lexicographic rank functions:
9.04/3.19	 * Removed transitions 11, 12, 13, 14, 15, 20, 21, 24 using the following rank functions:
9.04/3.19	    - Rank function 1:
9.04/3.19	      RF for loc. 10: x1
9.04/3.19	      RF for loc. 11: x1
9.04/3.19	      RF for loc. 12: x1
9.04/3.19	      RF for loc. 13: x1
9.04/3.19	      Bound for (chained) transitions 14: 1
9.04/3.19	    - Rank function 2:
9.04/3.19	      RF for loc. 10: -1+4*x0
9.04/3.19	      RF for loc. 11: 2+4*x0
9.04/3.19	      RF for loc. 12: 4*x0
9.04/3.19	      RF for loc. 13: 1+4*x0
9.04/3.19	      Bound for (chained) transitions 11: 3
9.04/3.19	      Bound for (chained) transitions 12: 4
9.04/3.19	      Bound for (chained) transitions 13: 4
9.04/3.19	      Bound for (chained) transitions 20: 5
9.04/3.19	      Bound for (chained) transitions 21: 5
9.04/3.19	    - Rank function 3:
9.04/3.19	      RF for loc. 11: 0
9.04/3.19	      RF for loc. 13: -1
9.04/3.19	      Bound for (chained) transitions 15, 24: 0
9.04/3.19	
9.04/3.19	----------------------------------------
9.04/3.19	
9.04/3.19	(6)
9.04/3.19	YES
9.31/3.23	EOF