8.86/3.16 NO 9.17/3.18 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 9.17/3.18 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.17/3.18 9.17/3.18 9.17/3.18 Termination of the given C Problem could be disproven: 9.17/3.18 9.17/3.18 (0) C Problem 9.17/3.18 (1) CToIRSProof [EQUIVALENT, 0 ms] 9.17/3.18 (2) IntTRS 9.17/3.18 (3) IRS2T2 [EQUIVALENT, 0 ms] 9.17/3.18 (4) T2IntSys 9.17/3.18 (5) T2 [COMPLETE, 1256 ms] 9.17/3.18 (6) NO 9.17/3.18 9.17/3.18 9.17/3.18 ---------------------------------------- 9.17/3.18 9.17/3.18 (0) 9.17/3.18 Obligation: 9.17/3.18 c file /export/starexec/sandbox/benchmark/theBenchmark.c 9.17/3.18 ---------------------------------------- 9.17/3.18 9.17/3.18 (1) CToIRSProof (EQUIVALENT) 9.17/3.18 Parsed C Integer Program as IRS. 9.17/3.18 ---------------------------------------- 9.17/3.18 9.17/3.18 (2) 9.17/3.18 Obligation: 9.17/3.18 Rules: 9.17/3.18 f1(i) -> f2(x_1) :|: TRUE 9.17/3.18 f7(x) -> f10(arith) :|: TRUE && arith = x + 1 9.17/3.18 f4(x1) -> f7(x1) :|: x1 < 0 9.17/3.18 f4(x2) -> f8(x2) :|: x2 >= 0 9.17/3.18 f10(x3) -> f9(x3) :|: TRUE 9.17/3.18 f8(x4) -> f9(x4) :|: TRUE 9.17/3.18 f11(x17) -> f14(x18) :|: TRUE && x18 = x17 - 1 9.17/3.18 f9(x6) -> f11(x6) :|: x6 > 0 9.17/3.18 f9(x7) -> f12(x7) :|: x7 <= 0 9.17/3.18 f14(x8) -> f13(x8) :|: TRUE 9.17/3.18 f12(x9) -> f13(x9) :|: TRUE 9.17/3.18 f3(x10) -> f4(x10) :|: x10 > 0 - 5 && x10 < 5 9.17/3.18 f3(x11) -> f5(x11) :|: x11 <= 0 - 5 9.17/3.18 f3(x19) -> f5(x19) :|: x19 >= 5 9.17/3.18 f13(x12) -> f6(x12) :|: TRUE 9.17/3.18 f5(x13) -> f6(x13) :|: TRUE 9.17/3.18 f2(x14) -> f3(x14) :|: x14 < 0 9.17/3.18 f2(x20) -> f3(x20) :|: x20 > 0 9.17/3.18 f6(x15) -> f2(x15) :|: TRUE 9.17/3.18 f2(x16) -> f15(x16) :|: x16 = 0 9.17/3.18 Start term: f1(i) 9.17/3.18 9.17/3.18 ---------------------------------------- 9.17/3.18 9.17/3.18 (3) IRS2T2 (EQUIVALENT) 9.17/3.18 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 9.17/3.18 9.17/3.18 (f1_1,1) 9.17/3.18 (f2_1,2) 9.17/3.18 (f7_1,3) 9.17/3.18 (f10_1,4) 9.17/3.18 (f4_1,5) 9.17/3.18 (f8_1,6) 9.17/3.18 (f9_1,7) 9.17/3.18 (f11_1,8) 9.17/3.18 (f14_1,9) 9.17/3.18 (f12_1,10) 9.17/3.18 (f13_1,11) 9.17/3.18 (f3_1,12) 9.17/3.18 (f5_1,13) 9.17/3.18 (f6_1,14) 9.17/3.18 (f15_1,15) 9.17/3.18 9.17/3.18 ---------------------------------------- 9.17/3.18 9.17/3.18 (4) 9.17/3.18 Obligation: 9.17/3.18 START: 1; 9.17/3.18 9.17/3.18 FROM: 1; 9.17/3.18 oldX0 := x0; 9.17/3.18 oldX1 := nondet(); 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX1; 9.17/3.18 TO: 2; 9.17/3.18 9.17/3.18 FROM: 3; 9.17/3.18 oldX0 := x0; 9.17/3.18 oldX1 := -(-(oldX0 + 1)); 9.17/3.18 assume(0 = 0 && oldX1 = oldX0 + 1); 9.17/3.18 x0 := -(-(oldX0 + 1)); 9.17/3.18 TO: 4; 9.17/3.18 9.17/3.18 FROM: 5; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 < 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 3; 9.17/3.18 9.17/3.18 FROM: 5; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 >= 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 6; 9.17/3.18 9.17/3.18 FROM: 4; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 7; 9.17/3.18 9.17/3.18 FROM: 6; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 7; 9.17/3.18 9.17/3.18 FROM: 8; 9.17/3.18 oldX0 := x0; 9.17/3.18 oldX1 := -(1 - oldX0); 9.17/3.18 assume(0 = 0 && oldX1 = oldX0 - 1); 9.17/3.18 x0 := -(1 - oldX0); 9.17/3.18 TO: 9; 9.17/3.18 9.17/3.18 FROM: 7; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 > 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 8; 9.17/3.18 9.17/3.18 FROM: 7; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 <= 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 10; 9.17/3.18 9.17/3.18 FROM: 9; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 11; 9.17/3.18 9.17/3.18 FROM: 10; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 11; 9.17/3.18 9.17/3.18 FROM: 12; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 > 0 - 5 && oldX0 < 5); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 5; 9.17/3.18 9.17/3.18 FROM: 12; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 <= 0 - 5); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 13; 9.17/3.18 9.17/3.18 FROM: 12; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 >= 5); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 13; 9.17/3.18 9.17/3.18 FROM: 11; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 14; 9.17/3.18 9.17/3.18 FROM: 13; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 14; 9.17/3.18 9.17/3.18 FROM: 2; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 < 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 12; 9.17/3.18 9.17/3.18 FROM: 2; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 > 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 12; 9.17/3.18 9.17/3.18 FROM: 14; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 2; 9.17/3.18 9.17/3.18 FROM: 2; 9.17/3.18 oldX0 := x0; 9.17/3.18 assume(oldX0 = 0); 9.17/3.18 x0 := oldX0; 9.17/3.18 TO: 15; 9.17/3.18 9.17/3.18 9.17/3.18 ---------------------------------------- 9.17/3.18 9.17/3.18 (5) T2 (COMPLETE) 9.17/3.18 Found this recurrent set for cutpoint 12: oldX1 == 5 and x0 == 5 9.17/3.18 9.17/3.18 ---------------------------------------- 9.17/3.18 9.17/3.18 (6) 9.17/3.18 NO 9.24/3.23 EOF