10.40/3.51 NO 10.40/3.51 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 10.40/3.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.40/3.51 10.40/3.51 10.40/3.51 Termination of the given C Problem could be disproven: 10.40/3.51 10.40/3.51 (0) C Problem 10.40/3.51 (1) CToIRSProof [EQUIVALENT, 0 ms] 10.40/3.51 (2) IntTRS 10.40/3.51 (3) IRS2T2 [EQUIVALENT, 0 ms] 10.40/3.51 (4) T2IntSys 10.40/3.51 (5) T2 [COMPLETE, 1717 ms] 10.40/3.51 (6) NO 10.40/3.51 10.40/3.51 10.40/3.51 ---------------------------------------- 10.40/3.51 10.40/3.51 (0) 10.40/3.51 Obligation: 10.40/3.51 c file /export/starexec/sandbox/benchmark/theBenchmark.c 10.40/3.51 ---------------------------------------- 10.40/3.51 10.40/3.51 (1) CToIRSProof (EQUIVALENT) 10.40/3.51 Parsed C Integer Program as IRS. 10.40/3.51 ---------------------------------------- 10.40/3.51 10.40/3.51 (2) 10.40/3.51 Obligation: 10.40/3.51 Rules: 10.40/3.51 f1(x, y, tmp, xtmp) -> f2(x_1, y, tmp, xtmp) :|: TRUE 10.40/3.51 f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE 10.40/3.51 f4(x6, x7, x8, x9) -> f5(x6, x7, x7, x9) :|: TRUE 10.40/3.51 f5(x10, x11, x12, x13) -> f6(x10, x11, x12, x10) :|: TRUE 10.40/3.51 f7(x14, x15, x16, x17) -> f10(x14, 0, x16, x17) :|: TRUE 10.40/3.51 f11(x18, x19, x20, x21) -> f14(x18, 0, x20, x21) :|: TRUE 10.40/3.51 f15(x22, x23, x24, x25) -> f16(x22, x23, x24, arith) :|: TRUE && arith = x25 - x23 10.40/3.52 f12(x26, x27, x28, x29) -> f15(x26, x27, x28, x29) :|: x29 > x27 10.40/3.52 f16(x30, x31, x32, x33) -> f12(x30, x31, x32, x33) :|: TRUE 10.40/3.52 f12(x34, x35, x36, x37) -> f17(x34, x35, x36, x37) :|: x37 <= x35 10.40/3.52 f8(x38, x39, x40, x41) -> f11(x38, x39, x40, x41) :|: x38 = x39 10.40/3.52 f8(x42, x43, x44, x45) -> f12(x42, x43, x44, x45) :|: x42 < x43 10.40/3.52 f8(x90, x91, x92, x93) -> f12(x90, x91, x92, x93) :|: x90 > x91 10.40/3.52 f14(x46, x47, x48, x49) -> f13(x46, x47, x48, x49) :|: TRUE 10.40/3.52 f17(x50, x51, x52, x53) -> f13(x50, x51, x52, x53) :|: TRUE 10.40/3.52 f6(x54, x55, x56, x57) -> f7(x54, x55, x56, x57) :|: x54 <= 0 10.40/3.52 f6(x94, x95, x96, x97) -> f7(x94, x95, x96, x97) :|: x95 <= 0 10.40/3.52 f6(x58, x59, x60, x61) -> f8(x58, x59, x60, x61) :|: x58 > 0 && x59 > 0 10.40/3.52 f10(x62, x63, x64, x65) -> f9(x62, x63, x64, x65) :|: TRUE 10.40/3.52 f13(x66, x67, x68, x69) -> f9(x66, x67, x68, x69) :|: TRUE 10.40/3.52 f9(x70, x71, x72, x73) -> f18(x70, x73, x72, x73) :|: TRUE 10.40/3.52 f18(x74, x75, x76, x77) -> f19(x76, x75, x76, x77) :|: TRUE 10.40/3.52 f3(x78, x79, x80, x81) -> f4(x78, x79, x80, x81) :|: x79 < 0 10.40/3.52 f3(x98, x99, x100, x101) -> f4(x98, x99, x100, x101) :|: x99 > 0 10.40/3.52 f19(x82, x83, x84, x85) -> f3(x82, x83, x84, x85) :|: TRUE 10.40/3.52 f3(x86, x87, x88, x89) -> f20(x86, x87, x88, x89) :|: x87 = 0 10.40/3.52 Start term: f1(x, y, tmp, xtmp) 10.40/3.52 10.40/3.52 ---------------------------------------- 10.40/3.52 10.40/3.52 (3) IRS2T2 (EQUIVALENT) 10.40/3.52 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 10.40/3.52 10.40/3.52 (f1_4,1) 10.40/3.52 (f2_4,2) 10.40/3.52 (f3_4,3) 10.40/3.52 (f4_4,4) 10.40/3.52 (f5_4,5) 10.40/3.52 (f6_4,6) 10.40/3.52 (f7_4,7) 10.40/3.52 (f10_4,8) 10.40/3.52 (f11_4,9) 10.40/3.52 (f14_4,10) 10.40/3.52 (f15_4,11) 10.40/3.52 (f16_4,12) 10.40/3.52 (f12_4,13) 10.40/3.52 (f17_4,14) 10.40/3.52 (f8_4,15) 10.40/3.52 (f13_4,16) 10.40/3.52 (f9_4,17) 10.40/3.52 (f18_4,18) 10.40/3.52 (f19_4,19) 10.40/3.52 (f20_4,20) 10.40/3.52 10.40/3.52 ---------------------------------------- 10.40/3.52 10.40/3.52 (4) 10.40/3.52 Obligation: 10.40/3.52 START: 1; 10.40/3.52 10.40/3.52 FROM: 1; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 oldX4 := nondet(); 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX4; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 2; 10.40/3.52 10.40/3.52 FROM: 2; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 oldX4 := nondet(); 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX4; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 3; 10.40/3.52 10.40/3.52 FROM: 4; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX1; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 5; 10.40/3.52 10.40/3.52 FROM: 5; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX0; 10.40/3.52 TO: 6; 10.40/3.52 10.40/3.52 FROM: 7; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := 0; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 8; 10.40/3.52 10.40/3.52 FROM: 9; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := 0; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 10; 10.40/3.52 10.40/3.52 FROM: 11; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 oldX4 := -(oldX1 - oldX3); 10.40/3.52 assume(0 = 0 && oldX4 = oldX3 - oldX1); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := -(oldX1 - oldX3); 10.40/3.52 TO: 12; 10.40/3.52 10.40/3.52 FROM: 13; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX3 > oldX1); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 11; 10.40/3.52 10.40/3.52 FROM: 12; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 13; 10.40/3.52 10.40/3.52 FROM: 13; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX3 <= oldX1); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 14; 10.40/3.52 10.40/3.52 FROM: 15; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX0 = oldX1); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 9; 10.40/3.52 10.40/3.52 FROM: 15; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX0 < oldX1); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 13; 10.40/3.52 10.40/3.52 FROM: 15; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX0 > oldX1); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 13; 10.40/3.52 10.40/3.52 FROM: 10; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 16; 10.40/3.52 10.40/3.52 FROM: 14; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 16; 10.40/3.52 10.40/3.52 FROM: 6; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX0 <= 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 7; 10.40/3.52 10.40/3.52 FROM: 6; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX1 <= 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 7; 10.40/3.52 10.40/3.52 FROM: 6; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX0 > 0 && oldX1 > 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 15; 10.40/3.52 10.40/3.52 FROM: 8; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 17; 10.40/3.52 10.40/3.52 FROM: 16; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 17; 10.40/3.52 10.40/3.52 FROM: 17; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX3; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 18; 10.40/3.52 10.40/3.52 FROM: 18; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX2; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 19; 10.40/3.52 10.40/3.52 FROM: 3; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX1 < 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 4; 10.40/3.52 10.40/3.52 FROM: 3; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX1 > 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 4; 10.40/3.52 10.40/3.52 FROM: 19; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(0 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 3; 10.40/3.52 10.40/3.52 FROM: 3; 10.40/3.52 oldX0 := x0; 10.40/3.52 oldX1 := x1; 10.40/3.52 oldX2 := x2; 10.40/3.52 oldX3 := x3; 10.40/3.52 assume(oldX1 = 0); 10.40/3.52 x0 := oldX0; 10.40/3.52 x1 := oldX1; 10.40/3.52 x2 := oldX2; 10.40/3.52 x3 := oldX3; 10.40/3.52 TO: 20; 10.40/3.52 10.40/3.52 10.40/3.52 ---------------------------------------- 10.40/3.52 10.40/3.52 (5) T2 (COMPLETE) 10.40/3.52 Found this recurrent set for cutpoint 13: oldX0 == 1 and oldX1 == 1 and oldX4 == 1 and x0 == 1 and x1 == 1 and x2 == 1 and x3 == 1 10.40/3.52 10.40/3.52 ---------------------------------------- 10.40/3.52 10.40/3.52 (6) 10.40/3.52 NO 10.80/3.58 EOF