11.37/3.60 NO 11.37/3.61 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 11.37/3.61 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.37/3.61 11.37/3.61 11.37/3.61 Termination of the given C Problem could be disproven: 11.37/3.61 11.37/3.61 (0) C Problem 11.37/3.61 (1) CToIRSProof [EQUIVALENT, 0 ms] 11.37/3.61 (2) IntTRS 11.37/3.61 (3) IRS2T2 [EQUIVALENT, 4 ms] 11.37/3.61 (4) T2IntSys 11.37/3.61 (5) T2 [COMPLETE, 1718 ms] 11.37/3.61 (6) NO 11.37/3.61 11.37/3.61 11.37/3.61 ---------------------------------------- 11.37/3.61 11.37/3.61 (0) 11.37/3.61 Obligation: 11.37/3.61 c file /export/starexec/sandbox/benchmark/theBenchmark.c 11.37/3.61 ---------------------------------------- 11.37/3.61 11.37/3.61 (1) CToIRSProof (EQUIVALENT) 11.37/3.61 Parsed C Integer Program as IRS. 11.37/3.61 ---------------------------------------- 11.37/3.61 11.37/3.61 (2) 11.37/3.61 Obligation: 11.37/3.61 Rules: 11.37/3.61 f1(x, y, tmp, xtmp) -> f2(x_1, y, tmp, xtmp) :|: TRUE 11.37/3.61 f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE 11.37/3.61 f4(x6, x7, x8, x9) -> f5(x6, x7, x7, x9) :|: TRUE 11.37/3.61 f5(x10, x11, x12, x13) -> f6(x10, x11, x12, x10) :|: TRUE 11.37/3.61 f7(x14, x15, x16, x17) -> f10(x14, 0, x16, x17) :|: TRUE 11.37/3.61 f11(x18, x19, x20, x21) -> f12(x18, x19, x20, arith) :|: TRUE && arith = x21 - x19 11.37/3.61 f8(x22, x23, x24, x25) -> f11(x22, x23, x24, x25) :|: x25 > x23 11.37/3.61 f12(x26, x27, x28, x29) -> f8(x26, x27, x28, x29) :|: TRUE 11.37/3.61 f8(x30, x31, x32, x33) -> f13(x30, x31, x32, x33) :|: x33 <= x31 11.37/3.61 f6(x34, x35, x36, x37) -> f7(x34, x35, x36, x37) :|: x34 = x35 11.37/3.61 f6(x38, x39, x40, x41) -> f8(x38, x39, x40, x41) :|: x38 < x39 11.37/3.61 f6(x70, x71, x72, x73) -> f8(x70, x71, x72, x73) :|: x70 > x71 11.37/3.61 f10(x42, x43, x44, x45) -> f9(x42, x43, x44, x45) :|: TRUE 11.37/3.61 f13(x46, x47, x48, x49) -> f9(x46, x47, x48, x49) :|: TRUE 11.37/3.61 f9(x50, x51, x52, x53) -> f14(x50, x53, x52, x53) :|: TRUE 11.37/3.61 f14(x54, x55, x56, x57) -> f15(x56, x55, x56, x57) :|: TRUE 11.37/3.61 f3(x58, x59, x60, x61) -> f4(x58, x59, x60, x61) :|: x59 < 0 && x58 >= 0 && x59 >= 0 11.37/3.61 f3(x74, x75, x76, x77) -> f4(x74, x75, x76, x77) :|: x75 > 0 && x74 >= 0 && x75 >= 0 11.37/3.61 f15(x62, x63, x64, x65) -> f3(x62, x63, x64, x65) :|: TRUE 11.37/3.61 f3(x66, x67, x68, x69) -> f16(x66, x67, x68, x69) :|: x67 < 0 11.37/3.61 f3(x78, x79, x80, x81) -> f16(x78, x79, x80, x81) :|: x79 = 0 11.37/3.61 f3(x82, x83, x84, x85) -> f16(x82, x83, x84, x85) :|: x82 < 0 11.37/3.61 Start term: f1(x, y, tmp, xtmp) 11.37/3.61 11.37/3.61 ---------------------------------------- 11.37/3.61 11.37/3.61 (3) IRS2T2 (EQUIVALENT) 11.37/3.61 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 11.37/3.61 11.37/3.61 (f1_4,1) 11.37/3.61 (f2_4,2) 11.37/3.61 (f3_4,3) 11.37/3.61 (f4_4,4) 11.37/3.61 (f5_4,5) 11.37/3.61 (f6_4,6) 11.37/3.61 (f7_4,7) 11.37/3.61 (f10_4,8) 11.37/3.61 (f11_4,9) 11.37/3.61 (f12_4,10) 11.37/3.61 (f8_4,11) 11.37/3.61 (f13_4,12) 11.37/3.61 (f9_4,13) 11.37/3.61 (f14_4,14) 11.37/3.61 (f15_4,15) 11.37/3.61 (f16_4,16) 11.37/3.61 11.37/3.61 ---------------------------------------- 11.37/3.61 11.37/3.61 (4) 11.37/3.61 Obligation: 11.37/3.61 START: 1; 11.37/3.61 11.37/3.61 FROM: 1; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 oldX4 := nondet(); 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX4; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 2; 11.37/3.61 11.37/3.61 FROM: 2; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 oldX4 := nondet(); 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX4; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 3; 11.37/3.61 11.37/3.61 FROM: 4; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX1; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 5; 11.37/3.61 11.37/3.61 FROM: 5; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX0; 11.37/3.61 TO: 6; 11.37/3.61 11.37/3.61 FROM: 7; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := 0; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 8; 11.37/3.61 11.37/3.61 FROM: 9; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 oldX4 := -(oldX1 - oldX3); 11.37/3.61 assume(0 = 0 && oldX4 = oldX3 - oldX1); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := -(oldX1 - oldX3); 11.37/3.61 TO: 10; 11.37/3.61 11.37/3.61 FROM: 11; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX3 > oldX1); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 9; 11.37/3.61 11.37/3.61 FROM: 10; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 11; 11.37/3.61 11.37/3.61 FROM: 11; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX3 <= oldX1); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 12; 11.37/3.61 11.37/3.61 FROM: 6; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX0 = oldX1); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 7; 11.37/3.61 11.37/3.61 FROM: 6; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX0 < oldX1); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 11; 11.37/3.61 11.37/3.61 FROM: 6; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX0 > oldX1); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 11; 11.37/3.61 11.37/3.61 FROM: 8; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 13; 11.37/3.61 11.37/3.61 FROM: 12; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 13; 11.37/3.61 11.37/3.61 FROM: 13; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX3; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 14; 11.37/3.61 11.37/3.61 FROM: 14; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX2; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 15; 11.37/3.61 11.37/3.61 FROM: 3; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX1 < 0 && oldX0 >= 0 && oldX1 >= 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 4; 11.37/3.61 11.37/3.61 FROM: 3; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX1 > 0 && oldX0 >= 0 && oldX1 >= 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 4; 11.37/3.61 11.37/3.61 FROM: 15; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(0 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 3; 11.37/3.61 11.37/3.61 FROM: 3; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX1 < 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 16; 11.37/3.61 11.37/3.61 FROM: 3; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX1 = 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 16; 11.37/3.61 11.37/3.61 FROM: 3; 11.37/3.61 oldX0 := x0; 11.37/3.61 oldX1 := x1; 11.37/3.61 oldX2 := x2; 11.37/3.61 oldX3 := x3; 11.37/3.61 assume(oldX0 < 0); 11.37/3.61 x0 := oldX0; 11.37/3.61 x1 := oldX1; 11.37/3.61 x2 := oldX2; 11.37/3.61 x3 := oldX3; 11.37/3.61 TO: 16; 11.37/3.61 11.37/3.61 11.37/3.61 ---------------------------------------- 11.37/3.61 11.37/3.61 (5) T2 (COMPLETE) 11.37/3.61 Found this recurrent set for cutpoint 10: oldX0 == 1 and oldX1 == 1 and oldX2 == 1 and oldX4 == 1 and x0 == 1 and x1 == 1 and x2 == 1 and x3 == 1 11.37/3.61 11.37/3.61 ---------------------------------------- 11.37/3.61 11.37/3.61 (6) 11.37/3.61 NO 11.37/3.65 EOF