25.83/7.45 YES 26.07/7.46 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 26.07/7.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.07/7.46 26.07/7.46 26.07/7.46 Termination of the given C Problem could be proven: 26.07/7.46 26.07/7.46 (0) C Problem 26.07/7.46 (1) CToIRSProof [EQUIVALENT, 0 ms] 26.07/7.46 (2) IntTRS 26.07/7.46 (3) IRS2T2 [EQUIVALENT, 0 ms] 26.07/7.46 (4) T2IntSys 26.07/7.46 (5) T2 [EQUIVALENT, 5417 ms] 26.07/7.46 (6) YES 26.07/7.46 26.07/7.46 26.07/7.46 ---------------------------------------- 26.07/7.46 26.07/7.46 (0) 26.07/7.46 Obligation: 26.07/7.46 c file /export/starexec/sandbox/benchmark/theBenchmark.c 26.07/7.46 ---------------------------------------- 26.07/7.46 26.07/7.46 (1) CToIRSProof (EQUIVALENT) 26.07/7.46 Parsed C Integer Program as IRS. 26.07/7.46 ---------------------------------------- 26.07/7.46 26.07/7.46 (2) 26.07/7.46 Obligation: 26.07/7.46 Rules: 26.07/7.46 f1(x, y, z) -> f2(x_1, y, z) :|: TRUE 26.07/7.46 f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE 26.07/7.46 f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE 26.07/7.46 f6(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 + x10 26.07/7.46 f7(x44, x45, x46) -> f10(x47, x45, x46) :|: TRUE && x47 = x44 + x46 26.07/7.46 f5(x15, x16, x17) -> f6(x15, x16, x17) :|: x18 < 0 26.07/7.46 f5(x48, x49, x50) -> f6(x48, x49, x50) :|: x51 > 0 26.07/7.46 f5(x19, x20, x21) -> f7(x19, x20, x21) :|: x22 = 0 26.07/7.46 f9(x23, x24, x25) -> f8(x23, x24, x25) :|: TRUE 26.07/7.46 f10(x26, x27, x28) -> f8(x26, x27, x28) :|: TRUE 26.07/7.46 f8(x52, x53, x54) -> f11(x52, x55, x54) :|: TRUE && x55 = x53 + x54 26.07/7.46 f11(x56, x57, x58) -> f12(x56, x57, x59) :|: TRUE && x59 = x58 - 1 26.07/7.46 f4(x35, x36, x37) -> f5(x35, x36, x37) :|: x35 >= 0 26.07/7.46 f12(x38, x39, x40) -> f4(x38, x39, x40) :|: TRUE 26.07/7.46 f4(x41, x42, x43) -> f13(x41, x42, x43) :|: x41 < 0 26.07/7.46 Start term: f1(x, y, z) 26.07/7.46 26.07/7.46 ---------------------------------------- 26.07/7.46 26.07/7.46 (3) IRS2T2 (EQUIVALENT) 26.07/7.46 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 26.07/7.46 26.07/7.46 (f1_3,1) 26.07/7.46 (f2_3,2) 26.07/7.46 (f3_3,3) 26.07/7.46 (f4_3,4) 26.07/7.46 (f6_3,5) 26.07/7.46 (f9_3,6) 26.07/7.46 (f7_3,7) 26.07/7.46 (f10_3,8) 26.07/7.46 (f5_3,9) 26.07/7.46 (f8_3,10) 26.07/7.46 (f11_3,11) 26.07/7.46 (f12_3,12) 26.07/7.46 (f13_3,13) 26.07/7.46 26.07/7.46 ---------------------------------------- 26.07/7.46 26.07/7.46 (4) 26.07/7.46 Obligation: 26.07/7.46 START: 1; 26.07/7.46 26.07/7.46 FROM: 1; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := nondet(); 26.07/7.46 assume(0 = 0); 26.07/7.46 x0 := oldX3; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 2; 26.07/7.46 26.07/7.46 FROM: 2; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := nondet(); 26.07/7.46 assume(0 = 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX3; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 3; 26.07/7.46 26.07/7.46 FROM: 3; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := nondet(); 26.07/7.46 assume(0 = 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX3; 26.07/7.46 TO: 4; 26.07/7.46 26.07/7.46 FROM: 5; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := -(-(oldX0 + oldX1)); 26.07/7.46 assume(0 = 0 && oldX3 = oldX0 + oldX1); 26.07/7.46 x0 := -(-(oldX0 + oldX1)); 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 6; 26.07/7.46 26.07/7.46 FROM: 7; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := -(-(oldX0 + oldX2)); 26.07/7.46 assume(0 = 0 && oldX3 = oldX0 + oldX2); 26.07/7.46 x0 := -(-(oldX0 + oldX2)); 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 8; 26.07/7.46 26.07/7.46 FROM: 9; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := nondet(); 26.07/7.46 assume(oldX3 < 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 5; 26.07/7.46 26.07/7.46 FROM: 9; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := nondet(); 26.07/7.46 assume(oldX3 > 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 5; 26.07/7.46 26.07/7.46 FROM: 9; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := -(0); 26.07/7.46 assume(oldX3 = 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 7; 26.07/7.46 26.07/7.46 FROM: 6; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 assume(0 = 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 10; 26.07/7.46 26.07/7.46 FROM: 8; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 assume(0 = 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 10; 26.07/7.46 26.07/7.46 FROM: 10; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := -(-(oldX1 + oldX2)); 26.07/7.46 assume(0 = 0 && oldX3 = oldX1 + oldX2); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := -(-(oldX1 + oldX2)); 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 11; 26.07/7.46 26.07/7.46 FROM: 11; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 oldX3 := -(1 - oldX2); 26.07/7.46 assume(0 = 0 && oldX3 = oldX2 - 1); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := -(1 - oldX2); 26.07/7.46 TO: 12; 26.07/7.46 26.07/7.46 FROM: 4; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 assume(oldX0 >= 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 9; 26.07/7.46 26.07/7.46 FROM: 12; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 assume(0 = 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 4; 26.07/7.46 26.07/7.46 FROM: 4; 26.07/7.46 oldX0 := x0; 26.07/7.46 oldX1 := x1; 26.07/7.46 oldX2 := x2; 26.07/7.46 assume(oldX0 < 0); 26.07/7.46 x0 := oldX0; 26.07/7.46 x1 := oldX1; 26.07/7.46 x2 := oldX2; 26.07/7.46 TO: 13; 26.07/7.46 26.07/7.46 26.07/7.46 ---------------------------------------- 26.07/7.46 26.07/7.46 (5) T2 (EQUIVALENT) 26.07/7.46 No proof given by T2 26.07/7.46 ---------------------------------------- 26.07/7.46 26.07/7.46 (6) 26.07/7.46 YES 26.13/7.52 EOF