/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


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YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given C Problem could be proven:

(0) C Problem
(1) CToIRSProof [EQUIVALENT, 0 ms]
(2) IntTRS
(3) IRS2T2 [EQUIVALENT, 0 ms]
(4) T2IntSys
(5) T2 [EQUIVALENT, 1313 ms]
(6) YES


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(0)
Obligation:
c file /export/starexec/sandbox2/benchmark/theBenchmark.c
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(1) CToIRSProof (EQUIVALENT)
Parsed C Integer Program as IRS.
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(2)
Obligation:
Rules:
f1(x, y) -> f2(0, y) :|: TRUE
f2(x1, x2) -> f3(x1, 0) :|: TRUE
f5(x3, x4) -> f8(x3, arith) :|: TRUE && arith = x4 + 1
f6(x23, x24) -> f9(x23, x25) :|: TRUE && x25 = x24 - 1
f4(x7, x8) -> f5(x7, x8) :|: x7 <= 50
f4(x9, x10) -> f6(x9, x10) :|: x9 > 50
f8(x11, x12) -> f7(x11, x12) :|: TRUE
f9(x13, x14) -> f7(x13, x14) :|: TRUE
f7(x26, x27) -> f10(x28, x27) :|: TRUE && x28 = x26 + 1
f3(x17, x18) -> f4(x17, x18) :|: x18 >= 0
f10(x19, x20) -> f3(x19, x20) :|: TRUE
f3(x21, x22) -> f11(x21, x22) :|: x22 < 0
Start term: f1(x, y)

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(3) IRS2T2 (EQUIVALENT)
Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:

   (f1_2,1)
   (f2_2,2)
   (f3_2,3)
   (f5_2,4)
   (f8_2,5)
   (f6_2,6)
   (f9_2,7)
   (f4_2,8)
   (f7_2,9)
   (f10_2,10)
   (f11_2,11)

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(4)
Obligation:
START: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
assume(0 = 0);
x0 := 0;
x1 := oldX1;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
assume(0 = 0);
x0 := oldX0;
x1 := 0;
TO: 3;

FROM: 4;
oldX0 := x0;
oldX1 := x1;
oldX2 := -(-(oldX1 + 1));
assume(0 = 0 && oldX2 = oldX1 + 1);
x0 := oldX0;
x1 := -(-(oldX1 + 1));
TO: 5;

FROM: 6;
oldX0 := x0;
oldX1 := x1;
oldX2 := -(1 - oldX1);
assume(0 = 0 && oldX2 = oldX1 - 1);
x0 := oldX0;
x1 := -(1 - oldX1);
TO: 7;

FROM: 8;
oldX0 := x0;
oldX1 := x1;
assume(oldX0 <= 50);
x0 := oldX0;
x1 := oldX1;
TO: 4;

FROM: 8;
oldX0 := x0;
oldX1 := x1;
assume(oldX0 > 50);
x0 := oldX0;
x1 := oldX1;
TO: 6;

FROM: 5;
oldX0 := x0;
oldX1 := x1;
assume(0 = 0);
x0 := oldX0;
x1 := oldX1;
TO: 9;

FROM: 7;
oldX0 := x0;
oldX1 := x1;
assume(0 = 0);
x0 := oldX0;
x1 := oldX1;
TO: 9;

FROM: 9;
oldX0 := x0;
oldX1 := x1;
oldX2 := -(-(oldX0 + 1));
assume(0 = 0 && oldX2 = oldX0 + 1);
x0 := -(-(oldX0 + 1));
x1 := oldX1;
TO: 10;

FROM: 3;
oldX0 := x0;
oldX1 := x1;
assume(oldX1 >= 0);
x0 := oldX0;
x1 := oldX1;
TO: 8;

FROM: 10;
oldX0 := x0;
oldX1 := x1;
assume(0 = 0);
x0 := oldX0;
x1 := oldX1;
TO: 3;

FROM: 3;
oldX0 := x0;
oldX1 := x1;
assume(oldX1 < 0);
x0 := oldX0;
x1 := oldX1;
TO: 11;


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(5) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 7, 8, 9, 10, 13, 14 using the following rank functions:
    - Rank function 1:
      RF for loc. 9: -3*x0
      RF for loc. 10: -1-3*x0
      RF for loc. 11: 1-3*x0
      Bound for (chained) transitions 7: -150
    - Rank function 2:
      RF for loc. 9: -1+3*x1
      RF for loc. 10: 1+3*x1
      RF for loc. 11: 3*x1
      Bound for (chained) transitions 8: -1
      Bound for (chained) transitions 13: 0
      Bound for (chained) transitions 14: 0
    - Rank function 3:
      RF for loc. 10: 1
      RF for loc. 11: 0
      Bound for (chained) transitions 9, 10: 1

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(6)
YES