9.26/3.18 NO 9.26/3.19 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 9.26/3.19 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.26/3.19 9.26/3.19 9.26/3.19 Termination of the given C Problem could be disproven: 9.26/3.19 9.26/3.19 (0) C Problem 9.26/3.19 (1) CToIRSProof [EQUIVALENT, 0 ms] 9.26/3.19 (2) IntTRS 9.26/3.19 (3) IRS2T2 [EQUIVALENT, 0 ms] 9.26/3.19 (4) T2IntSys 9.26/3.19 (5) T2 [COMPLETE, 1508 ms] 9.26/3.19 (6) NO 9.26/3.19 9.26/3.19 9.26/3.19 ---------------------------------------- 9.26/3.19 9.26/3.19 (0) 9.26/3.19 Obligation: 9.26/3.19 c file /export/starexec/sandbox/benchmark/theBenchmark.c 9.26/3.19 ---------------------------------------- 9.26/3.19 9.26/3.19 (1) CToIRSProof (EQUIVALENT) 9.26/3.19 Parsed C Integer Program as IRS. 9.26/3.19 ---------------------------------------- 9.26/3.19 9.26/3.19 (2) 9.26/3.19 Obligation: 9.26/3.19 Rules: 9.26/3.19 f1(x) -> f2(x_1) :|: TRUE 9.26/3.19 f4(x1) -> f7(arith) :|: TRUE && arith = x1 + 1 9.26/3.19 f8(x33) -> f11(x34) :|: TRUE && x34 = x33 + 2 9.26/3.19 f12(x35) -> f15(x36) :|: TRUE && x36 = x35 + 3 9.26/3.19 f16(x37) -> f19(x38) :|: TRUE && x38 = x37 + 4 9.26/3.19 f17(x39) -> f20(x40) :|: TRUE && x40 = 0 - 1 9.26/3.19 f13(x6) -> f16(x6) :|: x7 < 0 9.26/3.19 f13(x41) -> f16(x41) :|: x42 > 0 9.26/3.19 f13(x8) -> f17(x8) :|: x9 = 0 9.26/3.19 f19(x10) -> f18(x10) :|: TRUE 9.26/3.19 f20(x11) -> f18(x11) :|: TRUE 9.26/3.19 f9(x12) -> f12(x12) :|: x13 < 0 9.26/3.19 f9(x43) -> f12(x43) :|: x44 > 0 9.26/3.19 f9(x14) -> f13(x14) :|: x15 = 0 9.26/3.19 f15(x16) -> f14(x16) :|: TRUE 9.26/3.19 f18(x17) -> f14(x17) :|: TRUE 9.26/3.19 f5(x18) -> f8(x18) :|: x19 < 0 9.26/3.19 f5(x45) -> f8(x45) :|: x46 > 0 9.26/3.19 f5(x20) -> f9(x20) :|: x21 = 0 9.26/3.19 f11(x22) -> f10(x22) :|: TRUE 9.26/3.19 f14(x23) -> f10(x23) :|: TRUE 9.26/3.19 f3(x24) -> f4(x24) :|: x25 < 0 9.26/3.19 f3(x47) -> f4(x47) :|: x48 > 0 9.26/3.19 f3(x26) -> f5(x26) :|: x27 = 0 9.26/3.19 f7(x28) -> f6(x28) :|: TRUE 9.26/3.19 f10(x29) -> f6(x29) :|: TRUE 9.26/3.19 f2(x30) -> f3(x30) :|: x30 >= 0 9.26/3.19 f6(x31) -> f2(x31) :|: TRUE 9.26/3.19 f2(x32) -> f21(x32) :|: x32 < 0 9.26/3.19 Start term: f1(x) 9.26/3.19 9.26/3.19 ---------------------------------------- 9.26/3.19 9.26/3.19 (3) IRS2T2 (EQUIVALENT) 9.26/3.19 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 9.26/3.19 9.26/3.19 (f1_1,1) 9.26/3.19 (f2_1,2) 9.26/3.19 (f4_1,3) 9.26/3.19 (f7_1,4) 9.26/3.19 (f8_1,5) 9.26/3.19 (f11_1,6) 9.26/3.19 (f12_1,7) 9.26/3.19 (f15_1,8) 9.26/3.19 (f16_1,9) 9.26/3.19 (f19_1,10) 9.26/3.19 (f17_1,11) 9.26/3.19 (f20_1,12) 9.26/3.19 (f13_1,13) 9.26/3.19 (f18_1,14) 9.26/3.19 (f9_1,15) 9.26/3.19 (f14_1,16) 9.26/3.19 (f5_1,17) 9.26/3.19 (f10_1,18) 9.26/3.19 (f3_1,19) 9.26/3.19 (f6_1,20) 9.26/3.19 (f21_1,21) 9.26/3.19 9.26/3.19 ---------------------------------------- 9.26/3.19 9.26/3.19 (4) 9.26/3.19 Obligation: 9.26/3.19 START: 1; 9.26/3.19 9.26/3.19 FROM: 1; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX1; 9.26/3.19 TO: 2; 9.26/3.19 9.26/3.19 FROM: 3; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(-(oldX0 + 1)); 9.26/3.19 assume(0 = 0 && oldX1 = oldX0 + 1); 9.26/3.19 x0 := -(-(oldX0 + 1)); 9.26/3.19 TO: 4; 9.26/3.19 9.26/3.19 FROM: 5; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(-(oldX0 + 2)); 9.26/3.19 assume(0 = 0 && oldX1 = oldX0 + 2); 9.26/3.19 x0 := -(-(oldX0 + 2)); 9.26/3.19 TO: 6; 9.26/3.19 9.26/3.19 FROM: 7; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(-(oldX0 + 3)); 9.26/3.19 assume(0 = 0 && oldX1 = oldX0 + 3); 9.26/3.19 x0 := -(-(oldX0 + 3)); 9.26/3.19 TO: 8; 9.26/3.19 9.26/3.19 FROM: 9; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(-(oldX0 + 4)); 9.26/3.19 assume(0 = 0 && oldX1 = oldX0 + 4); 9.26/3.19 x0 := -(-(oldX0 + 4)); 9.26/3.19 TO: 10; 9.26/3.19 9.26/3.19 FROM: 11; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(1); 9.26/3.19 assume(0 = 0 && oldX1 = 0 - 1); 9.26/3.19 x0 := -(1); 9.26/3.19 TO: 12; 9.26/3.19 9.26/3.19 FROM: 13; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 < 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 9; 9.26/3.19 9.26/3.19 FROM: 13; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 > 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 9; 9.26/3.19 9.26/3.19 FROM: 13; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(0); 9.26/3.19 assume(oldX1 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 11; 9.26/3.19 9.26/3.19 FROM: 10; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 14; 9.26/3.19 9.26/3.19 FROM: 12; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 14; 9.26/3.19 9.26/3.19 FROM: 15; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 < 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 7; 9.26/3.19 9.26/3.19 FROM: 15; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 > 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 7; 9.26/3.19 9.26/3.19 FROM: 15; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(0); 9.26/3.19 assume(oldX1 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 13; 9.26/3.19 9.26/3.19 FROM: 8; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 16; 9.26/3.19 9.26/3.19 FROM: 14; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 16; 9.26/3.19 9.26/3.19 FROM: 17; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 < 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 5; 9.26/3.19 9.26/3.19 FROM: 17; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 > 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 5; 9.26/3.19 9.26/3.19 FROM: 17; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(0); 9.26/3.19 assume(oldX1 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 15; 9.26/3.19 9.26/3.19 FROM: 6; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 18; 9.26/3.19 9.26/3.19 FROM: 16; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 18; 9.26/3.19 9.26/3.19 FROM: 19; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 < 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 3; 9.26/3.19 9.26/3.19 FROM: 19; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := nondet(); 9.26/3.19 assume(oldX1 > 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 3; 9.26/3.19 9.26/3.19 FROM: 19; 9.26/3.19 oldX0 := x0; 9.26/3.19 oldX1 := -(0); 9.26/3.19 assume(oldX1 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 17; 9.26/3.19 9.26/3.19 FROM: 4; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 20; 9.26/3.19 9.26/3.19 FROM: 18; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 20; 9.26/3.19 9.26/3.19 FROM: 2; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(oldX0 >= 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 19; 9.26/3.19 9.26/3.19 FROM: 20; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(0 = 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 2; 9.26/3.19 9.26/3.19 FROM: 2; 9.26/3.19 oldX0 := x0; 9.26/3.19 assume(oldX0 < 0); 9.26/3.19 x0 := oldX0; 9.26/3.19 TO: 21; 9.26/3.19 9.26/3.19 9.26/3.19 ---------------------------------------- 9.26/3.19 9.26/3.19 (5) T2 (COMPLETE) 9.26/3.19 Found this recurrent set for cutpoint 18: oldX1-x0 <= 0 and x0-oldX1 <= 0 and 0 <= 0 9.26/3.19 9.26/3.19 ---------------------------------------- 9.26/3.19 9.26/3.19 (6) 9.26/3.19 NO 9.55/3.22 EOF