15.28/4.67	YES
15.28/4.68	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
15.28/4.68	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
15.28/4.68	
15.28/4.68	
15.28/4.68	Termination of the given C Problem could be proven:
15.28/4.68	
15.28/4.68	(0) C Problem
15.28/4.68	(1) CToIRSProof [EQUIVALENT, 0 ms]
15.28/4.68	(2) IntTRS
15.28/4.68	(3) IRS2T2 [EQUIVALENT, 0 ms]
15.28/4.68	(4) T2IntSys
15.28/4.68	(5) T2 [EQUIVALENT, 2827 ms]
15.28/4.68	(6) YES
15.28/4.68	
15.28/4.68	
15.28/4.68	----------------------------------------
15.28/4.68	
15.28/4.68	(0)
15.28/4.68	Obligation:
15.28/4.68	c file /export/starexec/sandbox/benchmark/theBenchmark.c
15.28/4.68	----------------------------------------
15.28/4.68	
15.28/4.68	(1) CToIRSProof (EQUIVALENT)
15.28/4.68	Parsed C Integer Program as IRS.
15.28/4.68	----------------------------------------
15.28/4.68	
15.28/4.68	(2)
15.28/4.68	Obligation:
15.28/4.68	Rules:
15.28/4.68	f1(x, y, z, tx) -> f2(x_1, y, z, tx) :|: TRUE
15.28/4.68	f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE
15.28/4.68	f3(x6, x7, x8, x9) -> f4(x6, x7, x10, x9) :|: TRUE
15.28/4.68	f4(x11, x12, x13, x14) -> f5(x11, x12, x13, x15) :|: TRUE
15.28/4.68	f7(x16, x17, x18, x19) -> f10(x16, x17, arith, x19) :|: TRUE && arith = x18 - 1
15.28/4.68	f10(x20, x21, x22, x23) -> f11(x20, x21, x22, x20) :|: TRUE
15.28/4.68	f11(x24, x25, x26, x27) -> f12(x28, x25, x26, x27) :|: TRUE
15.28/4.68	f8(x63, x64, x65, x66) -> f13(x63, x67, x65, x66) :|: TRUE && x67 = x64 + 1
15.28/4.68	f6(x33, x34, x35, x36) -> f7(x33, x34, x35, x36) :|: x37 < 0
15.28/4.68	f6(x68, x69, x70, x71) -> f7(x68, x69, x70, x71) :|: x72 > 0
15.28/4.68	f6(x38, x39, x40, x41) -> f8(x38, x39, x40, x41) :|: x42 = 0
15.28/4.68	f12(x43, x44, x45, x46) -> f9(x43, x44, x45, x46) :|: TRUE
15.28/4.68	f13(x47, x48, x49, x50) -> f9(x47, x48, x49, x50) :|: TRUE
15.28/4.68	f5(x51, x52, x53, x54) -> f6(x51, x52, x53, x54) :|: x51 >= x52 && x51 <= x54 + x53
15.28/4.68	f9(x55, x56, x57, x58) -> f5(x55, x56, x57, x58) :|: TRUE
15.28/4.68	f5(x59, x60, x61, x62) -> f14(x59, x60, x61, x62) :|: x59 < x60
15.28/4.68	f5(x73, x74, x75, x76) -> f14(x73, x74, x75, x76) :|: x73 > x76 + x75
15.28/4.68	Start term: f1(x, y, z, tx)
15.28/4.68	
15.28/4.68	----------------------------------------
15.28/4.68	
15.28/4.68	(3) IRS2T2 (EQUIVALENT)
15.28/4.68	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
15.28/4.68	
15.28/4.68	   (f1_4,1)
15.28/4.68	   (f2_4,2)
15.28/4.68	   (f3_4,3)
15.28/4.68	   (f4_4,4)
15.28/4.68	   (f5_4,5)
15.28/4.68	   (f7_4,6)
15.28/4.68	   (f10_4,7)
15.28/4.68	   (f11_4,8)
15.28/4.68	   (f12_4,9)
15.28/4.68	   (f8_4,10)
15.28/4.68	   (f13_4,11)
15.28/4.68	   (f6_4,12)
15.28/4.68	   (f9_4,13)
15.28/4.68	   (f14_4,14)
15.28/4.68	
15.28/4.68	----------------------------------------
15.28/4.68	
15.28/4.68	(4)
15.28/4.68	Obligation:
15.28/4.68	START: 1;
15.28/4.68	
15.28/4.68	FROM: 1;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := nondet();
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX4;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 2;
15.28/4.68	
15.28/4.68	FROM: 2;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := nondet();
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX4;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 3;
15.28/4.68	
15.28/4.68	FROM: 3;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := nondet();
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX4;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 4;
15.28/4.68	
15.28/4.68	FROM: 4;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := nondet();
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX4;
15.28/4.68	TO: 5;
15.28/4.68	
15.28/4.68	FROM: 6;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := -(1 - oldX2);
15.28/4.68	assume(0 = 0 && oldX4 = oldX2 - 1);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := -(1 - oldX2);
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 7;
15.28/4.68	
15.28/4.68	FROM: 7;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX0;
15.28/4.68	TO: 8;
15.28/4.68	
15.28/4.68	FROM: 8;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := nondet();
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX4;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 9;
15.28/4.68	
15.28/4.68	FROM: 10;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := -(-(oldX1 + 1));
15.28/4.68	assume(0 = 0 && oldX4 = oldX1 + 1);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := -(-(oldX1 + 1));
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 11;
15.28/4.68	
15.28/4.68	FROM: 12;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := nondet();
15.28/4.68	assume(oldX4 < 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 6;
15.28/4.68	
15.28/4.68	FROM: 12;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := nondet();
15.28/4.68	assume(oldX4 > 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 6;
15.28/4.68	
15.28/4.68	FROM: 12;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	oldX4 := -(0);
15.28/4.68	assume(oldX4 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 10;
15.28/4.68	
15.28/4.68	FROM: 9;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 13;
15.28/4.68	
15.28/4.68	FROM: 11;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 13;
15.28/4.68	
15.28/4.68	FROM: 5;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	assume(oldX0 >= oldX1 && oldX0 <= oldX3 + oldX2);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 12;
15.28/4.68	
15.28/4.68	FROM: 13;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	assume(0 = 0);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 5;
15.28/4.68	
15.28/4.68	FROM: 5;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	assume(oldX0 < oldX1);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 14;
15.28/4.68	
15.28/4.68	FROM: 5;
15.28/4.68	oldX0 := x0;
15.28/4.68	oldX1 := x1;
15.28/4.68	oldX2 := x2;
15.28/4.68	oldX3 := x3;
15.28/4.68	assume(oldX0 > oldX3 + oldX2);
15.28/4.68	x0 := oldX0;
15.28/4.68	x1 := oldX1;
15.28/4.68	x2 := oldX2;
15.28/4.68	x3 := oldX3;
15.28/4.68	TO: 14;
15.28/4.68	
15.28/4.68	
15.28/4.68	----------------------------------------
15.28/4.68	
15.28/4.68	(5) T2 (EQUIVALENT)
15.28/4.68	Used the following cutpoint-specific lexicographic rank functions:
15.28/4.68	 * For cutpoint 9, used the following rank functions/bounds (in descending priority order):
15.28/4.68	    - RF -x1+x0, bound 0
15.28/4.68	
15.28/4.68	----------------------------------------
15.28/4.68	
15.28/4.68	(6)
15.28/4.68	YES
15.28/4.75	EOF