27.90/8.05 NO 27.90/8.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 27.90/8.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.90/8.05 27.90/8.05 27.90/8.05 Termination of the given C Problem could be disproven: 27.90/8.05 27.90/8.05 (0) C Problem 27.90/8.05 (1) CToIRSProof [EQUIVALENT, 0 ms] 27.90/8.05 (2) IntTRS 27.90/8.05 (3) IRS2T2 [EQUIVALENT, 0 ms] 27.90/8.05 (4) T2IntSys 27.90/8.05 (5) T2 Underapproximation [COMPLETE, 2628 ms] 27.90/8.05 (6) T2IntSys 27.90/8.05 (7) T2 [COMPLETE, 283 ms] 27.90/8.05 (8) NO 27.90/8.05 27.90/8.05 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (0) 27.90/8.05 Obligation: 27.90/8.05 c file /export/starexec/sandbox/benchmark/theBenchmark.c 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (1) CToIRSProof (EQUIVALENT) 27.90/8.05 Parsed C Integer Program as IRS. 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (2) 27.90/8.05 Obligation: 27.90/8.05 Rules: 27.90/8.05 f1(x, y, z) -> f2(x_1, y, z) :|: TRUE 27.90/8.05 f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE 27.90/8.05 f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE 27.90/8.05 f5(x9, x10, x11) -> f6(arith, x10, x11) :|: TRUE && arith = x9 + x10 27.90/8.05 f6(x27, x28, x29) -> f7(x27, x30, x29) :|: TRUE && x30 = x28 + x29 27.90/8.05 f7(x31, x32, x33) -> f8(x31, x32, x34) :|: TRUE && x34 = x33 + 1 27.90/8.05 f4(x18, x19, x20) -> f5(x18, x19, x20) :|: x18 > 0 27.90/8.05 f8(x21, x22, x23) -> f4(x21, x22, x23) :|: TRUE 27.90/8.05 f4(x24, x25, x26) -> f9(x24, x25, x26) :|: x24 <= 0 27.90/8.05 Start term: f1(x, y, z) 27.90/8.05 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (3) IRS2T2 (EQUIVALENT) 27.90/8.05 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 27.90/8.05 27.90/8.05 (f1_3,1) 27.90/8.05 (f2_3,2) 27.90/8.05 (f3_3,3) 27.90/8.05 (f4_3,4) 27.90/8.05 (f5_3,5) 27.90/8.05 (f6_3,6) 27.90/8.05 (f7_3,7) 27.90/8.05 (f8_3,8) 27.90/8.05 (f9_3,9) 27.90/8.05 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (4) 27.90/8.05 Obligation: 27.90/8.05 START: 1; 27.90/8.05 27.90/8.05 FROM: 1; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := nondet(); 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := oldX3; 27.90/8.05 x1 := oldX1; 27.90/8.05 x2 := oldX2; 27.90/8.05 TO: 2; 27.90/8.05 27.90/8.05 FROM: 2; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := nondet(); 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := oldX0; 27.90/8.05 x1 := oldX3; 27.90/8.05 x2 := oldX2; 27.90/8.05 TO: 3; 27.90/8.05 27.90/8.05 FROM: 3; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := nondet(); 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := oldX0; 27.90/8.05 x1 := oldX1; 27.90/8.05 x2 := oldX3; 27.90/8.05 TO: 4; 27.90/8.05 27.90/8.05 FROM: 5; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := -(-(oldX0 + oldX1)); 27.90/8.05 assume(0 = 0 && oldX3 = oldX0 + oldX1); 27.90/8.05 x0 := -(-(oldX0 + oldX1)); 27.90/8.05 x1 := oldX1; 27.90/8.05 x2 := oldX2; 27.90/8.05 TO: 6; 27.90/8.05 27.90/8.05 FROM: 6; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := -(-(oldX1 + oldX2)); 27.90/8.05 assume(0 = 0 && oldX3 = oldX1 + oldX2); 27.90/8.05 x0 := oldX0; 27.90/8.05 x1 := -(-(oldX1 + oldX2)); 27.90/8.05 x2 := oldX2; 27.90/8.05 TO: 7; 27.90/8.05 27.90/8.05 FROM: 7; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := -(-(oldX2 + 1)); 27.90/8.05 assume(0 = 0 && oldX3 = oldX2 + 1); 27.90/8.05 x0 := oldX0; 27.90/8.05 x1 := oldX1; 27.90/8.05 x2 := -(-(oldX2 + 1)); 27.90/8.05 TO: 8; 27.90/8.05 27.90/8.05 FROM: 4; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 assume(oldX0 > 0); 27.90/8.05 x0 := oldX0; 27.90/8.05 x1 := oldX1; 27.90/8.05 x2 := oldX2; 27.90/8.05 TO: 5; 27.90/8.05 27.90/8.05 FROM: 8; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := oldX0; 27.90/8.05 x1 := oldX1; 27.90/8.05 x2 := oldX2; 27.90/8.05 TO: 4; 27.90/8.05 27.90/8.05 FROM: 4; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 assume(oldX0 <= 0); 27.90/8.05 x0 := oldX0; 27.90/8.05 x1 := oldX1; 27.90/8.05 x2 := oldX2; 27.90/8.05 TO: 9; 27.90/8.05 27.90/8.05 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (5) T2 Underapproximation (COMPLETE) 27.90/8.05 Added the following guard statements: 27.90/8.05 27.90/8.05 27.90/8.05 27.90/8.05 Transition 5: 27.90/8.05 assume(x0 >= 0); 27.90/8.05 27.90/8.05 27.90/8.05 Transition 6: 27.90/8.05 assume(x1 >= 0); 27.90/8.05 27.90/8.05 27.90/8.05 Transition 7: 27.90/8.05 assume(x2 >= 0); 27.90/8.05 27.90/8.05 27.90/8.05 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (6) 27.90/8.05 Obligation: 27.90/8.05 START: 1; 27.90/8.05 27.90/8.05 FROM: 1; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := nondet(); 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := oldX3; 27.90/8.05 x1 := x1; 27.90/8.05 x2 := x2; 27.90/8.05 TO: 2; 27.90/8.05 27.90/8.05 FROM: 2; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := nondet(); 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := x0; 27.90/8.05 x1 := oldX3; 27.90/8.05 x2 := x2; 27.90/8.05 TO: 3; 27.90/8.05 27.90/8.05 FROM: 3; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := nondet(); 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := x0; 27.90/8.05 x1 := x1; 27.90/8.05 x2 := oldX3; 27.90/8.05 TO: 4; 27.90/8.05 27.90/8.05 FROM: 5; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := x0 + x1; 27.90/8.05 assume(0 = 0 && x0 + x1 = x0 + x1); 27.90/8.05 assume(x0 >= 0); 27.90/8.05 x0 := x0 + x1; 27.90/8.05 x1 := x1; 27.90/8.05 x2 := x2; 27.90/8.05 TO: 6; 27.90/8.05 27.90/8.05 FROM: 6; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := x1 + x2; 27.90/8.05 assume(0 = 0 && x1 + x2 = x1 + x2); 27.90/8.05 x0 := x0; 27.90/8.05 assume(x1 >= 0); 27.90/8.05 x1 := x1 + x2; 27.90/8.05 x2 := x2; 27.90/8.05 TO: 7; 27.90/8.05 27.90/8.05 FROM: 7; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 oldX3 := x2 + 1; 27.90/8.05 assume(0 = 0 && x2 + 1 = x2 + 1); 27.90/8.05 x0 := x0; 27.90/8.05 x1 := x1; 27.90/8.05 assume(x2 >= 0); 27.90/8.05 x2 := x2 + 1; 27.90/8.05 TO: 8; 27.90/8.05 27.90/8.05 FROM: 4; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 assume(x0 > 0); 27.90/8.05 x0 := x0; 27.90/8.05 x1 := x1; 27.90/8.05 x2 := x2; 27.90/8.05 TO: 5; 27.90/8.05 27.90/8.05 FROM: 8; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 assume(0 = 0); 27.90/8.05 x0 := x0; 27.90/8.05 x1 := x1; 27.90/8.05 x2 := x2; 27.90/8.05 TO: 4; 27.90/8.05 27.90/8.05 FROM: 4; 27.90/8.05 oldX0 := x0; 27.90/8.05 oldX1 := x1; 27.90/8.05 oldX2 := x2; 27.90/8.05 assume(x0 <= 0); 27.90/8.05 x0 := x0; 27.90/8.05 x1 := x1; 27.90/8.05 x2 := x2; 27.90/8.05 TO: 9; 27.90/8.05 27.90/8.05 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (7) T2 (COMPLETE) 27.90/8.05 Found this recurrent set for cutpoint 6: oldX3-x2 <= 0 and -x0+1 <= 0 27.90/8.05 27.90/8.05 ---------------------------------------- 27.90/8.05 27.90/8.05 (8) 27.90/8.05 NO 28.02/8.09 EOF