9.13/3.20 YES 9.67/3.32 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 9.67/3.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.67/3.32 9.67/3.32 9.67/3.32 Termination of the given C Problem could be proven: 9.67/3.32 9.67/3.32 (0) C Problem 9.67/3.32 (1) CToIRSProof [EQUIVALENT, 0 ms] 9.67/3.32 (2) IntTRS 9.67/3.32 (3) IRS2T2 [EQUIVALENT, 0 ms] 9.67/3.32 (4) T2IntSys 9.67/3.32 (5) T2 [EQUIVALENT, 1433 ms] 9.67/3.32 (6) YES 9.67/3.32 9.67/3.32 9.67/3.32 ---------------------------------------- 9.67/3.32 9.67/3.32 (0) 9.67/3.32 Obligation: 9.67/3.32 c file /export/starexec/sandbox/benchmark/theBenchmark.c 9.67/3.32 ---------------------------------------- 9.67/3.32 9.67/3.32 (1) CToIRSProof (EQUIVALENT) 9.67/3.32 Parsed C Integer Program as IRS. 9.67/3.32 ---------------------------------------- 9.67/3.32 9.67/3.32 (2) 9.67/3.32 Obligation: 9.67/3.32 Rules: 9.67/3.32 f1(x, y) -> f2(x_1, y) :|: TRUE 9.67/3.32 f2(x1, x2) -> f3(x1, x3) :|: TRUE 9.67/3.32 f7(x4, x5) -> f8(x4, arith) :|: TRUE && arith = x4 + x5 9.67/3.32 f4(x6, x7) -> f7(x6, x7) :|: x6 > x7 9.67/3.32 f8(x8, x9) -> f4(x8, x9) :|: TRUE 9.67/3.32 f4(x10, x11) -> f9(x10, x11) :|: x10 <= x11 9.67/3.32 f3(x12, x13) -> f4(x12, x13) :|: x12 > 0 9.67/3.32 f3(x14, x15) -> f5(x14, x15) :|: x14 <= 0 9.67/3.32 f9(x16, x17) -> f6(x16, x17) :|: TRUE 9.67/3.32 f5(x18, x19) -> f6(x18, x19) :|: TRUE 9.67/3.32 Start term: f1(x, y) 9.67/3.32 9.67/3.32 ---------------------------------------- 9.67/3.32 9.67/3.32 (3) IRS2T2 (EQUIVALENT) 9.67/3.32 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 9.67/3.32 9.67/3.32 (f1_2,1) 9.67/3.32 (f2_2,2) 9.67/3.32 (f3_2,3) 9.67/3.32 (f7_2,4) 9.67/3.32 (f8_2,5) 9.67/3.32 (f4_2,6) 9.67/3.32 (f9_2,7) 9.67/3.32 (f5_2,8) 9.67/3.32 (f6_2,9) 9.67/3.32 9.67/3.32 ---------------------------------------- 9.67/3.32 9.67/3.32 (4) 9.67/3.32 Obligation: 9.67/3.32 START: 1; 9.67/3.32 9.67/3.32 FROM: 1; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 oldX2 := nondet(); 9.67/3.32 assume(0 = 0); 9.67/3.32 x0 := oldX2; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 2; 9.67/3.32 9.67/3.32 FROM: 2; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 oldX2 := nondet(); 9.67/3.32 assume(0 = 0); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX2; 9.67/3.32 TO: 3; 9.67/3.32 9.67/3.32 FROM: 4; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 oldX2 := -(-(oldX0 + oldX1)); 9.67/3.32 assume(0 = 0 && oldX2 = oldX0 + oldX1); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := -(-(oldX0 + oldX1)); 9.67/3.32 TO: 5; 9.67/3.32 9.67/3.32 FROM: 6; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 assume(oldX0 > oldX1); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 4; 9.67/3.32 9.67/3.32 FROM: 5; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 assume(0 = 0); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 6; 9.67/3.32 9.67/3.32 FROM: 6; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 assume(oldX0 <= oldX1); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 7; 9.67/3.32 9.67/3.32 FROM: 3; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 assume(oldX0 > 0); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 6; 9.67/3.32 9.67/3.32 FROM: 3; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 assume(oldX0 <= 0); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 8; 9.67/3.32 9.67/3.32 FROM: 7; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 assume(0 = 0); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 9; 9.67/3.32 9.67/3.32 FROM: 8; 9.67/3.32 oldX0 := x0; 9.67/3.32 oldX1 := x1; 9.67/3.32 assume(0 = 0); 9.67/3.32 x0 := oldX0; 9.67/3.32 x1 := oldX1; 9.67/3.32 TO: 9; 9.67/3.32 9.67/3.32 9.67/3.32 ---------------------------------------- 9.67/3.32 9.67/3.32 (5) T2 (EQUIVALENT) 9.67/3.32 Used the following cutpoint-specific lexicographic rank functions: 9.67/3.32 * For cutpoint 7, used the following rank functions/bounds (in descending priority order): 9.67/3.32 - RF -x1+oldX0, bound 1 9.67/3.32 9.67/3.32 ---------------------------------------- 9.67/3.32 9.67/3.32 (6) 9.67/3.32 YES 10.06/3.42 EOF