10.55/3.50 NO 10.55/3.51 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 10.55/3.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.55/3.51 10.55/3.51 10.55/3.51 Termination of the given C Problem could be disproven: 10.55/3.51 10.55/3.51 (0) C Problem 10.55/3.51 (1) CToIRSProof [EQUIVALENT, 0 ms] 10.55/3.51 (2) IntTRS 10.55/3.51 (3) IRS2T2 [EQUIVALENT, 0 ms] 10.55/3.51 (4) T2IntSys 10.55/3.51 (5) T2 [COMPLETE, 1684 ms] 10.55/3.51 (6) NO 10.55/3.51 10.55/3.51 10.55/3.51 ---------------------------------------- 10.55/3.51 10.55/3.51 (0) 10.55/3.51 Obligation: 10.55/3.51 c file /export/starexec/sandbox/benchmark/theBenchmark.c 10.55/3.51 ---------------------------------------- 10.55/3.51 10.55/3.51 (1) CToIRSProof (EQUIVALENT) 10.55/3.51 Parsed C Integer Program as IRS. 10.55/3.51 ---------------------------------------- 10.55/3.51 10.55/3.51 (2) 10.55/3.51 Obligation: 10.55/3.51 Rules: 10.55/3.51 f1(n, i, j, t) -> f2(x_1, i, j, t) :|: TRUE 10.55/3.51 f2(x, x1, x2, x3) -> f3(x, 0, x2, x3) :|: TRUE 10.55/3.51 f3(x4, x5, x6, x7) -> f4(x4, x5, 1, x7) :|: TRUE 10.55/3.51 f4(x8, x9, x10, x11) -> f5(x8, x9, x10, 0) :|: TRUE 10.55/3.51 f6(x12, x13, x14, x15) -> f7(x12, x13, x14, arith) :|: TRUE && arith = x14 + x13 10.55/3.51 f7(x16, x17, x18, x19) -> f8(x16, x18, x18, x19) :|: TRUE 10.55/3.51 f8(x20, x21, x22, x23) -> f9(x20, x21, x23, x23) :|: TRUE 10.55/3.51 f5(x24, x25, x26, x27) -> f6(x24, x25, x26, x27) :|: x26 < x24 10.55/3.51 f5(x36, x37, x38, x39) -> f6(x36, x37, x38, x39) :|: x38 > x36 10.55/3.51 f9(x28, x29, x30, x31) -> f5(x28, x29, x30, x31) :|: TRUE 10.55/3.51 f5(x32, x33, x34, x35) -> f10(x32, x33, x34, x35) :|: x34 = x32 10.55/3.51 Start term: f1(n, i, j, t) 10.55/3.51 10.55/3.51 ---------------------------------------- 10.55/3.51 10.55/3.51 (3) IRS2T2 (EQUIVALENT) 10.55/3.51 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 10.55/3.51 10.55/3.51 (f1_4,1) 10.55/3.51 (f2_4,2) 10.55/3.51 (f3_4,3) 10.55/3.51 (f4_4,4) 10.55/3.51 (f5_4,5) 10.55/3.51 (f6_4,6) 10.55/3.51 (f7_4,7) 10.55/3.51 (f8_4,8) 10.55/3.51 (f9_4,9) 10.55/3.51 (f10_4,10) 10.55/3.51 10.55/3.51 ---------------------------------------- 10.55/3.51 10.55/3.51 (4) 10.55/3.51 Obligation: 10.55/3.51 START: 1; 10.55/3.51 10.55/3.51 FROM: 1; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 oldX4 := nondet(); 10.55/3.51 assume(0 = 0); 10.55/3.51 x0 := oldX4; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 2; 10.55/3.51 10.55/3.51 FROM: 2; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(0 = 0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := 0; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 3; 10.55/3.51 10.55/3.51 FROM: 3; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(0 = 0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := 1; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 4; 10.55/3.51 10.55/3.51 FROM: 4; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(0 = 0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := 0; 10.55/3.51 TO: 5; 10.55/3.51 10.55/3.51 FROM: 6; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 oldX4 := -(-(oldX2 + oldX1)); 10.55/3.51 assume(0 = 0 && oldX4 = oldX2 + oldX1); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := -(-(oldX2 + oldX1)); 10.55/3.51 TO: 7; 10.55/3.51 10.55/3.51 FROM: 7; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(0 = 0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX2; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 8; 10.55/3.51 10.55/3.51 FROM: 8; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(0 = 0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX3; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 9; 10.55/3.51 10.55/3.51 FROM: 5; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(oldX2 < oldX0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 6; 10.55/3.51 10.55/3.51 FROM: 5; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(oldX2 > oldX0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 6; 10.55/3.51 10.55/3.51 FROM: 9; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(0 = 0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 5; 10.55/3.51 10.55/3.51 FROM: 5; 10.55/3.51 oldX0 := x0; 10.55/3.51 oldX1 := x1; 10.55/3.51 oldX2 := x2; 10.55/3.51 oldX3 := x3; 10.55/3.51 assume(oldX2 = oldX0); 10.55/3.51 x0 := oldX0; 10.55/3.51 x1 := oldX1; 10.55/3.51 x2 := oldX2; 10.55/3.51 x3 := oldX3; 10.55/3.51 TO: 10; 10.55/3.51 10.55/3.51 10.55/3.51 ---------------------------------------- 10.55/3.51 10.55/3.51 (5) T2 (COMPLETE) 10.55/3.51 Found this recurrent set for cutpoint 7: 0 <= oldX1 and 1 <= oldX2 and 0 <= x1 and 1 <= x2 and 0 <= x3 and oldX1-oldX2 <= 0 and 1 <= oldX1+oldX2 and oldX1-x2 <= 0 and 1 <= oldX1+x2 and oldX1-x3 <= 0 and 0 <= oldX1+x3 and oldX2-x3 <= 1 and x3-oldX2 <= 0 and 1 <= oldX2+x3 and oldX4-x0 <= 0 and x0-oldX4 <= 0 and x1-oldX1 <= 0 and oldX1-x1 <= 0 and 0 <= x1+oldX1 and x1-oldX2 <= 0 and 1 <= x1+oldX2 and x1-x2 <= 0 and 1 <= x1+x2 and x1-x3 <= 0 and 0 <= x1+x3 and x2-oldX2 <= 0 and oldX2-x2 <= 0 and 2 <= x2+oldX2 and x2-x3 <= 1 and x3-x2 <= 0 and 1 <= x2+x3 and 0 <= 0 10.55/3.51 10.55/3.51 ---------------------------------------- 10.55/3.51 10.55/3.51 (6) 10.55/3.51 NO 10.67/3.55 EOF