15.81/4.91 YES 16.00/4.98 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 16.00/4.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.00/4.98 16.00/4.98 16.00/4.98 Termination of the given C Problem could be proven: 16.00/4.98 16.00/4.98 (0) C Problem 16.00/4.98 (1) CToIRSProof [EQUIVALENT, 0 ms] 16.00/4.98 (2) IntTRS 16.00/4.98 (3) IRS2T2 [EQUIVALENT, 0 ms] 16.00/4.98 (4) T2IntSys 16.00/4.98 (5) T2 [EQUIVALENT, 3049 ms] 16.00/4.98 (6) YES 16.00/4.98 16.00/4.98 16.00/4.98 ---------------------------------------- 16.00/4.98 16.00/4.98 (0) 16.00/4.98 Obligation: 16.00/4.98 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 16.00/4.98 ---------------------------------------- 16.00/4.98 16.00/4.98 (1) CToIRSProof (EQUIVALENT) 16.00/4.98 Parsed C Integer Program as IRS. 16.00/4.98 ---------------------------------------- 16.00/4.98 16.00/4.98 (2) 16.00/4.98 Obligation: 16.00/4.98 Rules: 16.00/4.98 f1(x, y, tmp, xtmp) -> f2(x_1, y, tmp, xtmp) :|: TRUE 16.00/4.98 f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE 16.00/4.98 f4(x6, x7, x8, x9) -> f5(x6, x7, x7, x9) :|: TRUE 16.00/4.98 f5(x10, x11, x12, x13) -> f6(x10, x11, x12, x10) :|: TRUE 16.00/4.98 f7(x14, x15, x16, x17) -> f10(x14, x15, x16, x17) :|: TRUE 16.00/4.98 f11(x18, x19, x20, x21) -> f14(x18, x19, x20, arith) :|: TRUE && arith = 0 - x21 16.00/4.98 f8(x22, x23, x24, x25) -> f11(x22, x23, x24, x25) :|: x23 < 0 16.00/4.98 f8(x26, x27, x28, x29) -> f12(x26, x27, x28, x29) :|: x27 >= 0 16.00/4.98 f14(x30, x31, x32, x33) -> f13(x30, x31, x32, x33) :|: TRUE 16.00/4.98 f12(x34, x35, x36, x37) -> f13(x34, x35, x36, x37) :|: TRUE 16.00/4.98 f6(x38, x39, x40, x41) -> f7(x38, x39, x40, x41) :|: x39 = 0 16.00/4.98 f6(x42, x43, x44, x45) -> f8(x42, x43, x44, x45) :|: x43 < 0 16.00/4.98 f6(x126, x127, x128, x129) -> f8(x126, x127, x128, x129) :|: x127 > 0 16.00/4.98 f10(x46, x47, x48, x49) -> f9(x46, x47, x48, x49) :|: TRUE 16.00/4.98 f13(x50, x51, x52, x53) -> f9(x50, x51, x52, x53) :|: TRUE 16.00/4.98 f18(x130, x131, x132, x133) -> f19(x130, x131, x132, x134) :|: TRUE && x134 = x133 - x131 16.00/4.98 f15(x58, x59, x60, x61) -> f18(x58, x59, x60, x61) :|: x61 >= x59 16.00/4.98 f19(x62, x63, x64, x65) -> f15(x62, x63, x64, x65) :|: TRUE 16.00/4.98 f15(x66, x67, x68, x69) -> f20(x66, x67, x68, x69) :|: x69 < x67 16.00/4.98 f20(x70, x71, x72, x73) -> f21(x70, x73, x72, x73) :|: TRUE 16.00/4.98 f22(x135, x136, x137, x138) -> f23(x135, x136, x137, x139) :|: TRUE && x139 = x138 - x136 16.00/4.98 f16(x78, x79, x80, x81) -> f22(x78, x79, x80, x81) :|: x81 < 0 16.00/4.98 f23(x82, x83, x84, x85) -> f16(x82, x83, x84, x85) :|: TRUE 16.00/4.98 f16(x86, x87, x88, x89) -> f24(x86, x87, x88, x89) :|: x89 >= 0 16.00/4.98 f24(x90, x91, x92, x93) -> f25(x90, x93, x92, x93) :|: TRUE 16.00/4.98 f9(x94, x95, x96, x97) -> f15(x94, x95, x96, x97) :|: x97 > 0 16.00/4.98 f9(x98, x99, x100, x101) -> f16(x98, x99, x100, x101) :|: x101 <= 0 16.00/4.98 f21(x102, x103, x104, x105) -> f17(x102, x103, x104, x105) :|: TRUE 16.00/4.98 f25(x106, x107, x108, x109) -> f17(x106, x107, x108, x109) :|: TRUE 16.00/4.98 f17(x110, x111, x112, x113) -> f26(x112, x111, x112, x113) :|: TRUE 16.00/4.98 f3(x114, x115, x116, x117) -> f4(x114, x115, x116, x117) :|: x115 > 0 && x114 > 0 16.00/4.98 f26(x118, x119, x120, x121) -> f3(x118, x119, x120, x121) :|: TRUE 16.00/4.98 f3(x122, x123, x124, x125) -> f27(x122, x123, x124, x125) :|: x123 <= 0 16.00/4.98 f3(x140, x141, x142, x143) -> f27(x140, x141, x142, x143) :|: x140 <= 0 16.00/4.98 Start term: f1(x, y, tmp, xtmp) 16.00/4.98 16.00/4.98 ---------------------------------------- 16.00/4.98 16.00/4.98 (3) IRS2T2 (EQUIVALENT) 16.00/4.98 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 16.00/4.98 16.00/4.98 (f1_4,1) 16.00/4.98 (f2_4,2) 16.00/4.98 (f3_4,3) 16.00/4.98 (f4_4,4) 16.00/4.98 (f5_4,5) 16.00/4.98 (f6_4,6) 16.00/4.98 (f7_4,7) 16.00/4.98 (f10_4,8) 16.00/4.98 (f11_4,9) 16.00/4.98 (f14_4,10) 16.00/4.98 (f8_4,11) 16.00/4.98 (f12_4,12) 16.00/4.98 (f13_4,13) 16.00/4.98 (f9_4,14) 16.00/4.98 (f18_4,15) 16.00/4.98 (f19_4,16) 16.00/4.98 (f15_4,17) 16.00/4.98 (f20_4,18) 16.00/4.98 (f21_4,19) 16.00/4.98 (f22_4,20) 16.00/4.98 (f23_4,21) 16.00/4.98 (f16_4,22) 16.00/4.98 (f24_4,23) 16.00/4.98 (f25_4,24) 16.00/4.98 (f17_4,25) 16.00/4.98 (f26_4,26) 16.00/4.98 (f27_4,27) 16.00/4.98 16.00/4.98 ---------------------------------------- 16.00/4.98 16.00/4.98 (4) 16.00/4.98 Obligation: 16.00/4.98 START: 1; 16.00/4.98 16.00/4.98 FROM: 1; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 oldX4 := nondet(); 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX4; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 2; 16.00/4.98 16.00/4.98 FROM: 2; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 oldX4 := nondet(); 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX4; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 3; 16.00/4.98 16.00/4.98 FROM: 4; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX1; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 5; 16.00/4.98 16.00/4.98 FROM: 5; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX0; 16.00/4.98 TO: 6; 16.00/4.98 16.00/4.98 FROM: 7; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 8; 16.00/4.98 16.00/4.98 FROM: 9; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 oldX4 := -(0 - -(oldX3)); 16.00/4.98 assume(0 = 0 && oldX4 = 0 - oldX3); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := -(0 - -(oldX3)); 16.00/4.98 TO: 10; 16.00/4.98 16.00/4.98 FROM: 11; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX1 < 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 9; 16.00/4.98 16.00/4.98 FROM: 11; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX1 >= 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 12; 16.00/4.98 16.00/4.98 FROM: 10; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 13; 16.00/4.98 16.00/4.98 FROM: 12; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 13; 16.00/4.98 16.00/4.98 FROM: 6; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX1 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 7; 16.00/4.98 16.00/4.98 FROM: 6; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX1 < 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 11; 16.00/4.98 16.00/4.98 FROM: 6; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX1 > 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 11; 16.00/4.98 16.00/4.98 FROM: 8; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 14; 16.00/4.98 16.00/4.98 FROM: 13; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 14; 16.00/4.98 16.00/4.98 FROM: 15; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 oldX4 := -(oldX1 - oldX3); 16.00/4.98 assume(0 = 0 && oldX4 = oldX3 - oldX1); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := -(oldX1 - oldX3); 16.00/4.98 TO: 16; 16.00/4.98 16.00/4.98 FROM: 17; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX3 >= oldX1); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 15; 16.00/4.98 16.00/4.98 FROM: 16; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 17; 16.00/4.98 16.00/4.98 FROM: 17; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX3 < oldX1); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 18; 16.00/4.98 16.00/4.98 FROM: 18; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX3; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 19; 16.00/4.98 16.00/4.98 FROM: 20; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 oldX4 := -(oldX1 - oldX3); 16.00/4.98 assume(0 = 0 && oldX4 = oldX3 - oldX1); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := -(oldX1 - oldX3); 16.00/4.98 TO: 21; 16.00/4.98 16.00/4.98 FROM: 22; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX3 < 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 20; 16.00/4.98 16.00/4.98 FROM: 21; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 22; 16.00/4.98 16.00/4.98 FROM: 22; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX3 >= 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 23; 16.00/4.98 16.00/4.98 FROM: 23; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX3; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 24; 16.00/4.98 16.00/4.98 FROM: 14; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX3 > 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 17; 16.00/4.98 16.00/4.98 FROM: 14; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX3 <= 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 22; 16.00/4.98 16.00/4.98 FROM: 19; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 25; 16.00/4.98 16.00/4.98 FROM: 24; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 25; 16.00/4.98 16.00/4.98 FROM: 25; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX2; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 26; 16.00/4.98 16.00/4.98 FROM: 3; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX1 > 0 && oldX0 > 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 4; 16.00/4.98 16.00/4.98 FROM: 26; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(0 = 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 3; 16.00/4.98 16.00/4.98 FROM: 3; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX1 <= 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 27; 16.00/4.98 16.00/4.98 FROM: 3; 16.00/4.98 oldX0 := x0; 16.00/4.98 oldX1 := x1; 16.00/4.98 oldX2 := x2; 16.00/4.98 oldX3 := x3; 16.00/4.98 assume(oldX0 <= 0); 16.00/4.98 x0 := oldX0; 16.00/4.98 x1 := oldX1; 16.00/4.98 x2 := oldX2; 16.00/4.98 x3 := oldX3; 16.00/4.98 TO: 27; 16.00/4.98 16.00/4.98 16.00/4.98 ---------------------------------------- 16.00/4.98 16.00/4.98 (5) T2 (EQUIVALENT) 16.00/4.98 Initially, performed program simplifications using lexicographic rank functions: 16.00/4.98 * Removed transitions 20, 22, 23 using the following rank functions: 16.00/4.98 - Rank function 1: 16.00/4.98 RF for loc. 14: 0 16.00/4.98 RF for loc. 15: 0 16.00/4.98 RF for loc. 16: 0 16.00/4.98 RF for loc. 17: 0 16.00/4.98 RF for loc. 18: 0 16.00/4.98 RF for loc. 19: 0 16.00/4.98 RF for loc. 20: 0 16.00/4.98 RF for loc. 21: 0 16.00/4.98 RF for loc. 25: 0 16.00/4.98 RF for loc. 29: 0 16.00/4.98 Bound for (chained) transitions 20: 0 16.00/4.98 Bound for (chained) transitions 22: 0 16.00/4.98 Bound for (chained) transitions 23: 0 16.00/4.98 Used the following cutpoint-specific lexicographic rank functions: 16.00/4.98 * For cutpoint 13, used the following rank functions/bounds (in descending priority order): 16.00/4.98 - RF x1, bound 0 16.00/4.98 * For cutpoint 18, used the following rank functions/bounds (in descending priority order): 16.00/4.98 - RF x3, bound 1 16.00/4.98 16.00/4.98 ---------------------------------------- 16.00/4.98 16.00/4.98 (6) 16.00/4.98 YES 16.16/5.04 EOF