9.27/3.18	YES
9.47/3.19	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
9.47/3.19	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.47/3.19	
9.47/3.19	
9.47/3.19	Termination of the given C Problem could be proven:
9.47/3.19	
9.47/3.19	(0) C Problem
9.47/3.19	(1) CToIRSProof [EQUIVALENT, 0 ms]
9.47/3.19	(2) IntTRS
9.47/3.19	(3) IRS2T2 [EQUIVALENT, 0 ms]
9.47/3.19	(4) T2IntSys
9.47/3.19	(5) T2 [EQUIVALENT, 1437 ms]
9.47/3.19	(6) YES
9.47/3.19	
9.47/3.19	
9.47/3.19	----------------------------------------
9.47/3.19	
9.47/3.19	(0)
9.47/3.19	Obligation:
9.47/3.19	c file /export/starexec/sandbox/benchmark/theBenchmark.c
9.47/3.19	----------------------------------------
9.47/3.19	
9.47/3.19	(1) CToIRSProof (EQUIVALENT)
9.47/3.19	Parsed C Integer Program as IRS.
9.47/3.19	----------------------------------------
9.47/3.19	
9.47/3.19	(2)
9.47/3.19	Obligation:
9.47/3.19	Rules:
9.47/3.19	f1(x, y, z) -> f2(x_1, y, z) :|: TRUE
9.47/3.19	f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE
9.47/3.19	f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE
9.47/3.19	f6(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 - 1
9.47/3.19	f10(x63, x64, x65) -> f13(x63, x66, x65) :|: TRUE && x66 = x64 - 1
9.47/3.19	f13(x15, x16, x17) -> f14(x15, x16, x18) :|: TRUE
9.47/3.19	f11(x67, x68, x69) -> f15(x67, x68, x70) :|: TRUE && x70 = x69 - 1
9.47/3.19	f15(x22, x23, x24) -> f16(x25, x23, x24) :|: TRUE
9.47/3.19	f7(x26, x27, x28) -> f10(x26, x27, x28) :|: x29 < 0
9.47/3.19	f7(x71, x72, x73) -> f10(x71, x72, x73) :|: x74 > 0
9.47/3.19	f7(x30, x31, x32) -> f11(x30, x31, x32) :|: x33 = 0
9.47/3.19	f14(x34, x35, x36) -> f12(x34, x35, x36) :|: TRUE
9.47/3.19	f16(x37, x38, x39) -> f12(x37, x38, x39) :|: TRUE
9.47/3.19	f5(x40, x41, x42) -> f6(x40, x41, x42) :|: x43 < 0
9.47/3.19	f5(x75, x76, x77) -> f6(x75, x76, x77) :|: x78 > 0
9.47/3.19	f5(x44, x45, x46) -> f7(x44, x45, x46) :|: x47 = 0
9.47/3.19	f9(x48, x49, x50) -> f8(x48, x49, x50) :|: TRUE
9.47/3.19	f12(x51, x52, x53) -> f8(x51, x52, x53) :|: TRUE
9.47/3.19	f4(x54, x55, x56) -> f5(x54, x55, x56) :|: x54 > 0 && x55 > 0 && x56 > 0
9.47/3.19	f8(x57, x58, x59) -> f4(x57, x58, x59) :|: TRUE
9.47/3.19	f4(x60, x61, x62) -> f17(x60, x61, x62) :|: x62 <= 0
9.47/3.19	f4(x79, x80, x81) -> f17(x79, x80, x81) :|: x79 <= 0
9.47/3.19	f4(x82, x83, x84) -> f17(x82, x83, x84) :|: x83 <= 0
9.47/3.19	Start term: f1(x, y, z)
9.47/3.19	
9.47/3.19	----------------------------------------
9.47/3.19	
9.47/3.19	(3) IRS2T2 (EQUIVALENT)
9.47/3.19	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
9.47/3.19	
9.47/3.19	   (f1_3,1)
9.47/3.19	   (f2_3,2)
9.47/3.19	   (f3_3,3)
9.47/3.19	   (f4_3,4)
9.47/3.19	   (f6_3,5)
9.47/3.19	   (f9_3,6)
9.47/3.19	   (f10_3,7)
9.47/3.19	   (f13_3,8)
9.47/3.19	   (f14_3,9)
9.47/3.19	   (f11_3,10)
9.47/3.19	   (f15_3,11)
9.47/3.19	   (f16_3,12)
9.47/3.19	   (f7_3,13)
9.47/3.19	   (f12_3,14)
9.47/3.19	   (f5_3,15)
9.47/3.19	   (f8_3,16)
9.47/3.19	   (f17_3,17)
9.47/3.19	
9.47/3.19	----------------------------------------
9.47/3.19	
9.47/3.19	(4)
9.47/3.19	Obligation:
9.47/3.19	START: 1;
9.47/3.19	
9.47/3.19	FROM: 1;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX3;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 2;
9.47/3.19	
9.47/3.19	FROM: 2;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX3;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 3;
9.47/3.19	
9.47/3.19	FROM: 3;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX3;
9.47/3.19	TO: 4;
9.47/3.19	
9.47/3.19	FROM: 5;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := -(1 - oldX0);
9.47/3.19	assume(0 = 0 && oldX3 = oldX0 - 1);
9.47/3.19	x0 := -(1 - oldX0);
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 6;
9.47/3.19	
9.47/3.19	FROM: 7;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := -(1 - oldX1);
9.47/3.19	assume(0 = 0 && oldX3 = oldX1 - 1);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := -(1 - oldX1);
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 8;
9.47/3.19	
9.47/3.19	FROM: 8;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX3;
9.47/3.19	TO: 9;
9.47/3.19	
9.47/3.19	FROM: 10;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := -(1 - oldX2);
9.47/3.19	assume(0 = 0 && oldX3 = oldX2 - 1);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := -(1 - oldX2);
9.47/3.19	TO: 11;
9.47/3.19	
9.47/3.19	FROM: 11;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX3;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 12;
9.47/3.19	
9.47/3.19	FROM: 13;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(oldX3 < 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 7;
9.47/3.19	
9.47/3.19	FROM: 13;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(oldX3 > 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 7;
9.47/3.19	
9.47/3.19	FROM: 13;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := -(0);
9.47/3.19	assume(oldX3 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 10;
9.47/3.19	
9.47/3.19	FROM: 9;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 14;
9.47/3.19	
9.47/3.19	FROM: 12;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 14;
9.47/3.19	
9.47/3.19	FROM: 15;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(oldX3 < 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 5;
9.47/3.19	
9.47/3.19	FROM: 15;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := nondet();
9.47/3.19	assume(oldX3 > 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 5;
9.47/3.19	
9.47/3.19	FROM: 15;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	oldX3 := -(0);
9.47/3.19	assume(oldX3 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 13;
9.47/3.19	
9.47/3.19	FROM: 6;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 16;
9.47/3.19	
9.47/3.19	FROM: 14;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 16;
9.47/3.19	
9.47/3.19	FROM: 4;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	assume(oldX0 > 0 && oldX1 > 0 && oldX2 > 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 15;
9.47/3.19	
9.47/3.19	FROM: 16;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	assume(0 = 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 4;
9.47/3.19	
9.47/3.19	FROM: 4;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.19	oldX2 := x2;
9.47/3.19	assume(oldX2 <= 0);
9.47/3.19	x0 := oldX0;
9.47/3.19	x1 := oldX1;
9.47/3.19	x2 := oldX2;
9.47/3.19	TO: 17;
9.47/3.19	
9.47/3.19	FROM: 4;
9.47/3.19	oldX0 := x0;
9.47/3.19	oldX1 := x1;
9.47/3.20	oldX2 := x2;
9.47/3.20	assume(oldX0 <= 0);
9.47/3.20	x0 := oldX0;
9.47/3.20	x1 := oldX1;
9.47/3.20	x2 := oldX2;
9.47/3.20	TO: 17;
9.47/3.20	
9.47/3.20	FROM: 4;
9.47/3.20	oldX0 := x0;
9.47/3.20	oldX1 := x1;
9.47/3.20	oldX2 := x2;
9.47/3.20	assume(oldX1 <= 0);
9.47/3.20	x0 := oldX0;
9.47/3.20	x1 := oldX1;
9.47/3.20	x2 := oldX2;
9.47/3.20	TO: 17;
9.47/3.20	
9.47/3.20	
9.47/3.20	----------------------------------------
9.47/3.20	
9.47/3.20	(5) T2 (EQUIVALENT)
9.47/3.20	Initially, performed program simplifications using lexicographic rank functions:
9.47/3.20	 * Removed transitions 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 30, 31, 34 using the following rank functions:
9.47/3.20	    - Rank function 1:
9.47/3.20	      RF for loc. 13: 3*x1
9.47/3.20	      RF for loc. 14: 3*x1
9.47/3.20	      RF for loc. 15: -1+3*x1
9.47/3.20	      RF for loc. 16: 3*x1
9.47/3.20	      RF for loc. 17: 3*x1
9.47/3.20	      RF for loc. 18: 3*x1
9.47/3.20	      RF for loc. 19: 3*x1
9.47/3.20	      Bound for (chained) transitions 17: 2
9.47/3.20	      Bound for (chained) transitions 18: 3
9.47/3.20	      Bound for (chained) transitions 19: 3
9.47/3.20	    - Rank function 2:
9.47/3.20	      RF for loc. 13: 3*x2
9.47/3.20	      RF for loc. 14: 3*x2
9.47/3.20	      RF for loc. 16: 1+3*x2
9.47/3.20	      RF for loc. 17: -1+3*x2
9.47/3.20	      RF for loc. 18: 3*x2
9.47/3.20	      RF for loc. 19: 3*x2
9.47/3.20	      Bound for (chained) transitions 20: 2
9.47/3.20	      Bound for (chained) transitions 23: 3
9.47/3.20	    - Rank function 3:
9.47/3.20	      RF for loc. 13: -1+4*x0
9.47/3.20	      RF for loc. 14: 2+4*x0
9.47/3.20	      RF for loc. 16: 3+4*x0
9.47/3.20	      RF for loc. 18: 4*x0
9.47/3.20	      RF for loc. 19: 1+4*x0
9.47/3.20	      Bound for (chained) transitions 16: 3
9.47/3.20	      Bound for (chained) transitions 21: 4
9.47/3.20	      Bound for (chained) transitions 22: 4
9.47/3.20	      Bound for (chained) transitions 30: 5
9.47/3.20	      Bound for (chained) transitions 31: 5
9.47/3.20	    - Rank function 4:
9.47/3.20	      RF for loc. 14: -1
9.47/3.20	      RF for loc. 16: 0
9.47/3.20	      RF for loc. 19: -2
9.47/3.20	      Bound for (chained) transitions 24: 0
9.47/3.20	    - Rank function 5:
9.47/3.20	      RF for loc. 14: 0
9.47/3.20	      RF for loc. 19: -1
9.47/3.20	      Bound for (chained) transitions 25, 34: 0
9.47/3.20	
9.47/3.20	----------------------------------------
9.47/3.20	
9.47/3.20	(6)
9.47/3.20	YES
9.47/3.23	EOF