/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.jar /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


termination of the given Bare JBC problem could be proven:

(0) Bare JBC problem
(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 478 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) JBCTerminationSCC
        (8) SCCToIRSProof [SOUND, 9 ms]
        (9) IRSwT
        (10) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (11) IRSwT
        (12) IRSwTTerminationDigraphProof [EQUIVALENT, 42 ms]
        (13) IRSwT
        (14) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (15) IRSwT
        (16) TempFilterProof [SOUND, 33 ms]
        (17) IntTRS
        (18) RankingReductionPairProof [EQUIVALENT, 19 ms]
        (19) YES
    (20) JBCTerminationSCC
        (21) SCCToIRSProof [SOUND, 134 ms]
        (22) IRSwT
        (23) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (24) IRSwT
        (25) IRSwTTerminationDigraphProof [EQUIVALENT, 211 ms]
        (26) IRSwT
        (27) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (28) IRSwT
        (29) TempFilterProof [SOUND, 107 ms]
        (30) IntTRS
        (31) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (32) IntTRS
        (33) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (34) YES


----------------------------------------

(0)
Obligation:
need to prove termination of the following program:
/**
 * Parts of the below code have been adapted from
 *
 * http://www0.cs.ucl.ac.uk/staff/p.ohearn/Talks/SAStalk.pdf
 *
 * Based on the motivating example of the paper
 *
 * Automatic termination proofs for programs with shape-shifting heaps
 * Josh Berdine, Byron Cook, Dino Distefano, and Peter W. O’Hearn
 * In Proc. CAV'06, LNCS 4144, pp. 386 - 400, 2006.
 */
public class Kernel88 {
    /**
     * A reference to the next list element.
     */
    private Kernel88 next;
    
    public static void main(String[] args) {
        int random1 = args[0].length();
        int random2 = args[1].length();

        //slide68(random1, random2);
        slide88(random1, random2);
        //slide93(random1, random2);
        //slide95(random1, random2);
    }
    
    /**
     * Create a new list element.
     * @param n a reference to the next element.
     */
    public Kernel88(final Kernel88 n) {
        this.next = n;
    }
    
    /**
     * Create a new cyclical list of a length x.
     * @param x some length
     * @return cyclical list of length max(1, x)
     */
    public static Kernel88 create(int x) {
        Kernel88 last, current;
        last = current = new Kernel88(null);
        while (--x > 0)
            current = new Kernel88(current);
        return last.next = current;
    }

    /**
     * Check if the last bit of x is > 0.
     */
    private static boolean check(int x) {
        return x % 2 > 0;
    }

    public static void slide68(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            c = c.next;
            if (check(random2)) { // nondet()
                p.next = c;
                //dispose(o);
                o = null;
                // Java's garbage collector will notice that the object
                // previously referenced by o is not referenced any more
                // and will release it (of course, in the next loop iteration
                // this would happen anyway); obviously, this does not have
                // quite the impact of a proper "dispose" operation, which
                // also renders all other pointer invalid that happen to point
                // to the same address
            } else {
                p = o;
            }

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
       }
    }

    public static void slide88(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            //c = c.next;
            if (check(random2)) { // nondet()
                Kernel88 e = o.next;
                p.next = e;
                //dispose(o);
                o = null;
                // Java's garbage collector will notice that the object
                // previously referenced by o is not referenced any more
                // and will release it
                c = o;
                // for a faithful translation of the original C code,
                // let c point to whatever o points to -- the interesting
                // aspect is that dereferencing this memory location 
                // henceforth is a very bad idea (in C, obviously, this would
                // not necessarily lead to a clean exception at runtime)
            } else {
                p = o;
            }
            c = c.next;

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
        }
    }

    /**
     * Non-terminating.
     */
    public static void slide93(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            //c = c.next;

            if (check(random2)) { // nondet()
                Kernel88 e = o.next;
                p.next = e;
                o.next = o;
            } else {
                p = o;
            }
            c = c.next;

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
        }
    }

    public static void slide95(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            c = c.next;

            if (check(random2)) { // nondet()
                Kernel88 e = o.next;
                p.next = e;
                o.next = o;
            } else {
                p = o;
            }

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
        }
    }

}



----------------------------------------

(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
----------------------------------------

(2)
Obligation:
need to prove termination of the following program:
/**
 * Parts of the below code have been adapted from
 *
 * http://www0.cs.ucl.ac.uk/staff/p.ohearn/Talks/SAStalk.pdf
 *
 * Based on the motivating example of the paper
 *
 * Automatic termination proofs for programs with shape-shifting heaps
 * Josh Berdine, Byron Cook, Dino Distefano, and Peter W. O’Hearn
 * In Proc. CAV'06, LNCS 4144, pp. 386 - 400, 2006.
 */
public class Kernel88 {
    /**
     * A reference to the next list element.
     */
    private Kernel88 next;
    
    public static void main(String[] args) {
        int random1 = args[0].length();
        int random2 = args[1].length();

        //slide68(random1, random2);
        slide88(random1, random2);
        //slide93(random1, random2);
        //slide95(random1, random2);
    }
    
    /**
     * Create a new list element.
     * @param n a reference to the next element.
     */
    public Kernel88(final Kernel88 n) {
        this.next = n;
    }
    
    /**
     * Create a new cyclical list of a length x.
     * @param x some length
     * @return cyclical list of length max(1, x)
     */
    public static Kernel88 create(int x) {
        Kernel88 last, current;
        last = current = new Kernel88(null);
        while (--x > 0)
            current = new Kernel88(current);
        return last.next = current;
    }

    /**
     * Check if the last bit of x is > 0.
     */
    private static boolean check(int x) {
        return x % 2 > 0;
    }

    public static void slide68(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            c = c.next;
            if (check(random2)) { // nondet()
                p.next = c;
                //dispose(o);
                o = null;
                // Java's garbage collector will notice that the object
                // previously referenced by o is not referenced any more
                // and will release it (of course, in the next loop iteration
                // this would happen anyway); obviously, this does not have
                // quite the impact of a proper "dispose" operation, which
                // also renders all other pointer invalid that happen to point
                // to the same address
            } else {
                p = o;
            }

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
       }
    }

    public static void slide88(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            //c = c.next;
            if (check(random2)) { // nondet()
                Kernel88 e = o.next;
                p.next = e;
                //dispose(o);
                o = null;
                // Java's garbage collector will notice that the object
                // previously referenced by o is not referenced any more
                // and will release it
                c = o;
                // for a faithful translation of the original C code,
                // let c point to whatever o points to -- the interesting
                // aspect is that dereferencing this memory location 
                // henceforth is a very bad idea (in C, obviously, this would
                // not necessarily lead to a clean exception at runtime)
            } else {
                p = o;
            }
            c = c.next;

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
        }
    }

    /**
     * Non-terminating.
     */
    public static void slide93(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            //c = c.next;

            if (check(random2)) { // nondet()
                Kernel88 e = o.next;
                p.next = e;
                o.next = o;
            } else {
                p = o;
            }
            c = c.next;

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
        }
    }

    public static void slide95(int random1, int random2) {
        Kernel88 h = create(random1);
        Kernel88 p = h;
        Kernel88 c = p.next;
        while (c != h) {
            Kernel88 o = c;
            c = c.next;

            if (check(random2)) { // nondet()
                Kernel88 e = o.next;
                p.next = e;
                o.next = o;
            } else {
                p = o;
            }

            // get a fresh random bit to the end of random2
            random2 = random2 / 2;
        }
    }

}



----------------------------------------

(3) JBCToGraph (EQUIVALENT)
Constructed TerminationGraph.
----------------------------------------

(4)
Obligation:
Termination Graph based on JBC Program:
Kernel88.main([Ljava/lang/String;)V: Graph of 292 nodes with 1 SCC.



Kernel88.create(I)LKernel88;: Graph of 42 nodes with 1 SCC.





----------------------------------------

(5) TerminationGraphToSCCProof (SOUND)
Splitted TerminationGraph to 2 SCCss.
----------------------------------------

(6)
Complex Obligation (AND)

----------------------------------------

(7)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Kernel88.create(I)LKernel88;
SCC calls the following helper methods: 
Performed SCC analyses:
*Used field analysis yielded the following read fields:

*Marker field analysis yielded the following relations that could be markers:

----------------------------------------

(8) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 17 IRulesP rules:
f805_0_create_Load(EOS(STATIC_805), i74, o75[Kernel88.next]o74) -> f810_0_create_LE(EOS(STATIC_810), i74, i74, o75[Kernel88.next]o74) :|: TRUE
f810_0_create_LE(EOS(STATIC_810), i76, i76, o75[Kernel88.next]o74) -> f813_0_create_LE(EOS(STATIC_813), i76, i76, o75[Kernel88.next]o74) :|: TRUE
f813_0_create_LE(EOS(STATIC_813), i76, i76, o75[Kernel88.next]o74) -> f817_0_create_New(EOS(STATIC_817), i76, o75[Kernel88.next]o74) :|: i76 > 0
f817_0_create_New(EOS(STATIC_817), i76, o75[Kernel88.next]o74) -> f824_0_create_Duplicate(EOS(STATIC_824), i76, o75[Kernel88.next]o74) :|: TRUE
f824_0_create_Duplicate(EOS(STATIC_824), i76, o75[Kernel88.next]o74) -> f827_0_create_Load(EOS(STATIC_827), i76, o75[Kernel88.next]o74) :|: TRUE
f827_0_create_Load(EOS(STATIC_827), i76, o75[Kernel88.next]o74) -> f829_0_create_InvokeMethod(EOS(STATIC_829), i76, o75[Kernel88.next]o74) :|: TRUE
f829_0_create_InvokeMethod(EOS(STATIC_829), i76, o75[Kernel88.next]o74) -> f848_0__init__Load(EOS(STATIC_848), i76, o75[Kernel88.next]o74) :|: TRUE
f848_0__init__Load(EOS(STATIC_848), i76, o75[Kernel88.next]o74) -> f871_0__init__InvokeMethod(EOS(STATIC_871), i76, o75[Kernel88.next]o74) :|: TRUE
f871_0__init__InvokeMethod(EOS(STATIC_871), i76, o75[Kernel88.next]o74) -> f889_0__init__Load(EOS(STATIC_889), i76, o75[Kernel88.next]o74) :|: TRUE
f889_0__init__Load(EOS(STATIC_889), i76, o75[Kernel88.next]o74) -> f922_0__init__Load(EOS(STATIC_922), i76, o75[Kernel88.next]o74) :|: TRUE
f922_0__init__Load(EOS(STATIC_922), i76, o75[Kernel88.next]o74) -> f925_0__init__FieldAccess(EOS(STATIC_925), i76, o75[Kernel88.next]o74) :|: TRUE
f925_0__init__FieldAccess(EOS(STATIC_925), i76, o75[Kernel88.next]o74) -> f933_0__init__Return(EOS(STATIC_933), i76, o75[Kernel88.next]o74) :|: TRUE
f933_0__init__Return(EOS(STATIC_933), i76, o75[Kernel88.next]o74) -> f947_0_create_Store(EOS(STATIC_947), i76, o75[Kernel88.next]o74) :|: TRUE
f947_0_create_Store(EOS(STATIC_947), i76, o75[Kernel88.next]o74) -> f951_0_create_JMP(EOS(STATIC_951), i76, o75[Kernel88.next]o74) :|: TRUE
f951_0_create_JMP(EOS(STATIC_951), i76, o75[Kernel88.next]o74) -> f1086_0_create_Inc(EOS(STATIC_1086), i76, o75[Kernel88.next]o74) :|: TRUE
f1086_0_create_Inc(EOS(STATIC_1086), i76, o75[Kernel88.next]o74) -> f790_0_create_Inc(EOS(STATIC_790), i76, o86[Kernel88.next]o74) :|: TRUE
f790_0_create_Inc(EOS(STATIC_790), i55, o75[Kernel88.next]o74) -> f805_0_create_Load(EOS(STATIC_805), i55 + -1, o75[Kernel88.next]o74) :|: TRUE
Combined rules. Obtained 1 IRulesP rules:
f805_0_create_Load(EOS(STATIC_805), i74:0, o75[Kernel88.next]o74:0) -> f805_0_create_Load(EOS(STATIC_805), i74:0 - 1, o86[Kernel88.next]o74:0) :|: i74:0 > 0
Filtered constant ground arguments:
   f805_0_create_Load(x1, x2, x3) -> f805_0_create_Load(x2, x3)
   EOS(x1) -> EOS
Filtered unneeded arguments:
   f805_0_create_Load(x1, x2) -> f805_0_create_Load(x1)
Finished conversion. Obtained 1 rules.P rules:
f805_0_create_Load(i74:0) -> f805_0_create_Load(i74:0 - 1) :|: i74:0 > 0

----------------------------------------

(9)
Obligation:
Rules:
f805_0_create_Load(i74:0) -> f805_0_create_Load(i74:0 - 1) :|: i74:0 > 0

----------------------------------------

(10) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(11)
Obligation:
Rules:
f805_0_create_Load(i74:0) -> f805_0_create_Load(arith) :|: i74:0 > 0 && arith = i74:0 - 1

----------------------------------------

(12) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f805_0_create_Load(i74:0) -> f805_0_create_Load(arith) :|: i74:0 > 0 && arith = i74:0 - 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!
----------------------------------------

(13)
Obligation:

Termination digraph:
Nodes:
(1) f805_0_create_Load(i74:0) -> f805_0_create_Load(arith) :|: i74:0 > 0 && arith = i74:0 - 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!

----------------------------------------

(14) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(15)
Obligation:
Rules:
f805_0_create_Load(i74:0:0) -> f805_0_create_Load(i74:0:0 - 1) :|: i74:0:0 > 0

----------------------------------------

(16) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f805_0_create_Load(INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(17)
Obligation:
Rules:
f805_0_create_Load(i74:0:0) -> f805_0_create_Load(c) :|: c = i74:0:0 - 1 && i74:0:0 > 0

----------------------------------------

(18) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f805_0_create_Load ] = f805_0_create_Load_1

The following rules are decreasing:
f805_0_create_Load(i74:0:0) -> f805_0_create_Load(c) :|: c = i74:0:0 - 1 && i74:0:0 > 0

The following rules are bounded:
f805_0_create_Load(i74:0:0) -> f805_0_create_Load(c) :|: c = i74:0:0 - 1 && i74:0:0 > 0


----------------------------------------

(19)
YES

----------------------------------------

(20)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Kernel88.main([Ljava/lang/String;)V
SCC calls the following helper methods: 
Performed SCC analyses:
*Used field analysis yielded the following read fields:
*Kernel88: [next]
*Marker field analysis yielded the following relations that could be markers:

----------------------------------------

(21) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 39 IRulesP rules:
f1457_0_slide88_EQ(EOS(STATIC_1457), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1461_0_slide88_Load(EOS(STATIC_1461), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1461_0_slide88_Load(EOS(STATIC_1461), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1467_0_slide88_Store(EOS(STATIC_1467), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1467_0_slide88_Store(EOS(STATIC_1467), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1470_0_slide88_Load(EOS(STATIC_1470), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1470_0_slide88_Load(EOS(STATIC_1470), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1473_0_slide88_InvokeMethod(EOS(STATIC_1473), i104, i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1473_0_slide88_InvokeMethod(EOS(STATIC_1473), i104, i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1476_0_check_Load(EOS(STATIC_1476), i104, i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1476_0_check_Load(EOS(STATIC_1476), i104, i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1479_0_check_ConstantStackPush(EOS(STATIC_1479), i104, i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1479_0_check_ConstantStackPush(EOS(STATIC_1479), i104, i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1483_0_check_IntArithmetic(EOS(STATIC_1483), i104, i104, 2, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1483_0_check_IntArithmetic(EOS(STATIC_1483), i104, i104, matching1, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1487_0_check_LE(EOS(STATIC_1487), i104, i104 % 2, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE && matching1 = 2
f1487_0_check_LE(EOS(STATIC_1487), i104, matching1, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1492_0_check_LE(EOS(STATIC_1492), i104, 0, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE && matching1 = 0
f1492_0_check_LE(EOS(STATIC_1492), i104, matching1, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1495_0_check_ConstantStackPush(EOS(STATIC_1495), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: 0 <= 0 && matching1 = 0
f1495_0_check_ConstantStackPush(EOS(STATIC_1495), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1497_0_check_Return(EOS(STATIC_1497), i104, 0, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE
f1497_0_check_Return(EOS(STATIC_1497), i104, matching1, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1499_0_slide88_EQ(EOS(STATIC_1499), i104, 0, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: TRUE && matching1 = 0
f1499_0_slide88_EQ(EOS(STATIC_1499), i104, matching1, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) -> f1523_0_slide88_Load(EOS(STATIC_1523), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) :|: o142[Kernel88.next]o144 > o142[Kernel88.next]o143 && o142[Kernel88.next]o143 >= 0 && o144[Kernel88.next]o144 > o144[Kernel88.next]o143 && o144[Kernel88.next]o143 >= 0 && matching1 = 0
f1523_0_slide88_Load(EOS(STATIC_1523), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) -> f1531_0_slide88_Store(EOS(STATIC_1531), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) :|: TRUE
f1531_0_slide88_Store(EOS(STATIC_1531), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) -> f1537_0_slide88_Load(EOS(STATIC_1537), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) :|: TRUE
f1537_0_slide88_Load(EOS(STATIC_1537), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) -> f1543_0_slide88_FieldAccess(EOS(STATIC_1543), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) :|: TRUE
f1543_0_slide88_FieldAccess(EOS(STATIC_1543), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o144[Kernel88.next]o141, o144[Kernel88.next]o144) -> f1565_0_slide88_FieldAccess(EOS(STATIC_1565), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o141, o144[Kernel88.next]o144, o144[Kernel88.next]o142) :|: o142[Kernel88.next]o144 > 0 && o144[Kernel88.next]o142 > 0 && o144[Kernel88.next]o144 > 0
f1543_0_slide88_FieldAccess(EOS(STATIC_1543), i104, o197[Kernel88.next]o197, o197[Kernel88.next]o141, o197[Kernel88.next]o197, o197[Kernel88.next]o141, o197[Kernel88.next]o197) -> f1566_0_slide88_FieldAccess(EOS(STATIC_1566), i104, o197[Kernel88.next]o141, o197[Kernel88.next]o197) :|: TRUE
f1565_0_slide88_FieldAccess(EOS(STATIC_1565), i104, o142[Kernel88.next]o202, o142[Kernel88.next]o141, o202[Kernel88.next]o141, o202[Kernel88.next]o202, o202[Kernel88.next]o142) -> f1577_0_slide88_FieldAccess(EOS(STATIC_1577), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: o203[Kernel88.next]o141 < o202[Kernel88.next]o141 && o202[Kernel88.next]o141 >= 0 && o203[Kernel88.next]o202 < o202[Kernel88.next]o202 && o202[Kernel88.next]o202 >= 0 && o203[Kernel88.next]o142 < o202[Kernel88.next]o142 && o202[Kernel88.next]o142 >= 0
f1577_0_slide88_FieldAccess(EOS(STATIC_1577), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1581_0_slide88_Store(EOS(STATIC_1581), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: TRUE
f1581_0_slide88_Store(EOS(STATIC_1581), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1585_0_slide88_Load(EOS(STATIC_1585), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: TRUE
f1585_0_slide88_Load(EOS(STATIC_1585), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1589_0_slide88_ConstantStackPush(EOS(STATIC_1589), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: TRUE
f1589_0_slide88_ConstantStackPush(EOS(STATIC_1589), i104, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1595_0_slide88_IntArithmetic(EOS(STATIC_1595), i104, 2, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: TRUE
f1595_0_slide88_IntArithmetic(EOS(STATIC_1595), i104, matching1, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1622_0_slide88_Store(EOS(STATIC_1622), i125, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: i125 = i104 / 2 && i125 <= i104 && matching1 = 2
f1622_0_slide88_Store(EOS(STATIC_1622), i125, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1678_0_slide88_JMP(EOS(STATIC_1678), i125, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: TRUE
f1678_0_slide88_JMP(EOS(STATIC_1678), i125, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1732_0_slide88_Load(EOS(STATIC_1732), i125, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) :|: TRUE
f1732_0_slide88_Load(EOS(STATIC_1732), i125, o142[Kernel88.next]o141, o142[Kernel88.next]o202, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o203[Kernel88.next]o202) -> f1404_0_slide88_Load(EOS(STATIC_1404), i125, o142[Kernel88.next]o203, o142[Kernel88.next]o141, o203[Kernel88.next]o141, o203[Kernel88.next]o142, o142[Kernel88.next]o202, o203[Kernel88.next]o202) :|: TRUE
f1404_0_slide88_Load(EOS(STATIC_1404), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143) -> f1419_0_slide88_Load(EOS(STATIC_1419), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143) :|: TRUE
f1419_0_slide88_Load(EOS(STATIC_1419), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143) -> f1432_0_slide88_EQ(EOS(STATIC_1432), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143) :|: TRUE
f1432_0_slide88_EQ(EOS(STATIC_1432), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143) -> f1457_0_slide88_EQ(EOS(STATIC_1457), i104, o142[Kernel88.next]o144, o142[Kernel88.next]o141, o144[Kernel88.next]o142, o142[Kernel88.next]o143, o144[Kernel88.next]o143, o144[Kernel88.next]o141) :|: o144[Kernel88.next]o141 > 0
f1566_0_slide88_FieldAccess(EOS(STATIC_1566), i104, o204[Kernel88.next]o141, o204[Kernel88.next]o204) -> f1578_0_slide88_FieldAccess(EOS(STATIC_1578), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: o205[Kernel88.next]o141 < o204[Kernel88.next]o141 && o204[Kernel88.next]o141 >= 0 && o205[Kernel88.next]o204 < o204[Kernel88.next]o204 && o204[Kernel88.next]o204 >= 0
f1578_0_slide88_FieldAccess(EOS(STATIC_1578), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1582_0_slide88_Store(EOS(STATIC_1582), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: TRUE
f1582_0_slide88_Store(EOS(STATIC_1582), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1586_0_slide88_Load(EOS(STATIC_1586), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: TRUE
f1586_0_slide88_Load(EOS(STATIC_1586), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1590_0_slide88_ConstantStackPush(EOS(STATIC_1590), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: TRUE
f1590_0_slide88_ConstantStackPush(EOS(STATIC_1590), i104, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1599_0_slide88_IntArithmetic(EOS(STATIC_1599), i104, 2, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: TRUE
f1599_0_slide88_IntArithmetic(EOS(STATIC_1599), i104, matching1, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1624_0_slide88_Store(EOS(STATIC_1624), i126, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: i126 = i104 / 2 && i126 <= i104 && matching1 = 2
f1624_0_slide88_Store(EOS(STATIC_1624), i126, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1681_0_slide88_JMP(EOS(STATIC_1681), i126, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: TRUE
f1681_0_slide88_JMP(EOS(STATIC_1681), i126, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1761_0_slide88_Load(EOS(STATIC_1761), i126, o205[Kernel88.next]o141, o205[Kernel88.next]o204) :|: TRUE
f1761_0_slide88_Load(EOS(STATIC_1761), i126, o205[Kernel88.next]o141, o205[Kernel88.next]o204) -> f1404_0_slide88_Load(EOS(STATIC_1404), i126, o204[Kernel88.next]o205, o204[Kernel88.next]o141, o205[Kernel88.next]o141, o205[Kernel88.next]o204, o204[Kernel88.next]o204, o205[Kernel88.next]o204) :|: o204[Kernel88.next]o205 = 1
Combined rules. Obtained 4 IRulesP rules:
f1457_0_slide88_EQ(EOS(STATIC_1457), i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o142[Kernel88.next]o141:0) -> f1457_0_slide88_EQ'(EOS(STATIC_1457), i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o142[Kernel88.next]o141:0) :|: i104:0 - 2 * div = 0 && o142[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 < o142[Kernel88.next]o144:0 && o144[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o141:0 > -1 && o205[Kernel88.next]o141:0 < o142[Kernel88.next]o141:0 && o205[Kernel88.next]o204:0 < o142[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > -1 && o205[Kernel88.next]o141:0 > 0 && i104:0 >= div1
f1457_0_slide88_EQ'(EOS(STATIC_1457), i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o142[Kernel88.next]o141:0) -> f1457_0_slide88_EQ(EOS(STATIC_1457), div1, 1, o204[Kernel88.next]o141:0, o205[Kernel88.next]o204:0, o204[Kernel88.next]o204:0, o205[Kernel88.next]o204:0, o205[Kernel88.next]o141:0) :|: i104:0 - 2 * div = 0 && o142[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 < o142[Kernel88.next]o144:0 && o144[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o141:0 > -1 && o205[Kernel88.next]o141:0 < o142[Kernel88.next]o141:0 && o205[Kernel88.next]o204:0 < o142[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > -1 && i104:0 >= div1 && o205[Kernel88.next]o141:0 > 0 && i104:0 - 2 * div > -2 && i104:0 - 2 * div < 2 && i104:0 - 2 * div1 < 2 && i104:0 - 2 * div1 > -2
f1457_0_slide88_EQ(EOS(STATIC_1457), i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o144[Kernel88.next]o142:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o144[Kernel88.next]o141:0) -> f1457_0_slide88_EQ'(EOS(STATIC_1457), i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o144[Kernel88.next]o142:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o144[Kernel88.next]o141:0) :|: o144[Kernel88.next]o142:0 > 0 && o144[Kernel88.next]o144:0 > 0 && i104:0 - 2 * div = 0 && o142[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o144:0 > o144[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 > -1 && o144[Kernel88.next]o141:0 > -1 && o203[Kernel88.next]o141:0 < o144[Kernel88.next]o141:0 && o203[Kernel88.next]o202:0 < o144[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > 0 && o203[Kernel88.next]o142:0 < o144[Kernel88.next]o142:0 && o203[Kernel88.next]o141:0 > 0 && i104:0 >= div1
f1457_0_slide88_EQ'(EOS(STATIC_1457), i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o144[Kernel88.next]o142:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o144[Kernel88.next]o141:0) -> f1457_0_slide88_EQ(EOS(STATIC_1457), div1, o142[Kernel88.next]o203:0, o142[Kernel88.next]o141:0, o203[Kernel88.next]o142:0, o142[Kernel88.next]o144:0, o203[Kernel88.next]o202:0, o203[Kernel88.next]o141:0) :|: o144[Kernel88.next]o142:0 > 0 && o144[Kernel88.next]o144:0 > 0 && i104:0 - 2 * div = 0 && o142[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o144:0 > o144[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 > -1 && o144[Kernel88.next]o141:0 > -1 && o203[Kernel88.next]o141:0 < o144[Kernel88.next]o141:0 && o203[Kernel88.next]o202:0 < o144[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > 0 && o203[Kernel88.next]o142:0 < o144[Kernel88.next]o142:0 && i104:0 >= div1 && o203[Kernel88.next]o141:0 > 0 && i104:0 - 2 * div > -2 && i104:0 - 2 * div < 2 && i104:0 - 2 * div1 < 2 && i104:0 - 2 * div1 > -2
Filtered constant ground arguments:
   f1457_0_slide88_EQ(x1, x2, x3, x4, x5, x6, x7, x8) -> f1457_0_slide88_EQ(x2, x3, x4, x5, x6, x7, x8)
   f1457_0_slide88_EQ'(x1, x2, x3, x4, x5, x6, x7, x8) -> f1457_0_slide88_EQ'(x2, x3, x4, x5, x6, x7, x8)
   EOS(x1) -> EOS
Finished conversion. Obtained 4 rules.P rules:
f1457_0_slide88_EQ(i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o142[Kernel88.next]o141:0) -> f1457_0_slide88_EQ'(i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o142[Kernel88.next]o141:0) :|: o142[Kernel88.next]o143:0 > -1 && i104:0 - 2 * div = 0 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 < o142[Kernel88.next]o144:0 && o144[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o141:0 > -1 && o205[Kernel88.next]o141:0 < o142[Kernel88.next]o141:0 && o205[Kernel88.next]o204:0 < o142[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > -1 && i104:0 >= div1 && o205[Kernel88.next]o141:0 > 0
f1457_0_slide88_EQ'(i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o142[Kernel88.next]o141:0) -> f1457_0_slide88_EQ(div1, 1, o204[Kernel88.next]o141:0, o205[Kernel88.next]o204:0, o204[Kernel88.next]o204:0, o205[Kernel88.next]o204:0, o205[Kernel88.next]o141:0) :|: o142[Kernel88.next]o143:0 > -1 && i104:0 - 2 * div = 0 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 < o142[Kernel88.next]o144:0 && o144[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o141:0 > -1 && o205[Kernel88.next]o141:0 < o142[Kernel88.next]o141:0 && o205[Kernel88.next]o204:0 < o142[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > -1 && i104:0 >= div1 && o205[Kernel88.next]o141:0 > 0 && i104:0 - 2 * div > -2 && i104:0 - 2 * div < 2 && i104:0 - 2 * div1 > -2 && i104:0 - 2 * div1 < 2
f1457_0_slide88_EQ(i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o144[Kernel88.next]o142:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o144[Kernel88.next]o141:0) -> f1457_0_slide88_EQ'(i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o144[Kernel88.next]o142:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o144[Kernel88.next]o141:0) :|: o144[Kernel88.next]o144:0 > 0 && o144[Kernel88.next]o142:0 > 0 && i104:0 - 2 * div = 0 && o142[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o144:0 > o144[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 > -1 && o144[Kernel88.next]o141:0 > -1 && o203[Kernel88.next]o141:0 < o144[Kernel88.next]o141:0 && o203[Kernel88.next]o202:0 < o144[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > 0 && o203[Kernel88.next]o142:0 < o144[Kernel88.next]o142:0 && i104:0 >= div1 && o203[Kernel88.next]o141:0 > 0
f1457_0_slide88_EQ'(i104:0, o142[Kernel88.next]o144:0, o142[Kernel88.next]o141:0, o144[Kernel88.next]o142:0, o142[Kernel88.next]o143:0, o144[Kernel88.next]o143:0, o144[Kernel88.next]o141:0) -> f1457_0_slide88_EQ(div1, o142[Kernel88.next]o203:0, o142[Kernel88.next]o141:0, o203[Kernel88.next]o142:0, o142[Kernel88.next]o144:0, o203[Kernel88.next]o202:0, o203[Kernel88.next]o141:0) :|: o144[Kernel88.next]o144:0 > 0 && o144[Kernel88.next]o142:0 > 0 && i104:0 - 2 * div = 0 && o142[Kernel88.next]o143:0 > -1 && o142[Kernel88.next]o144:0 > o142[Kernel88.next]o143:0 && o144[Kernel88.next]o144:0 > o144[Kernel88.next]o143:0 && o144[Kernel88.next]o143:0 > -1 && o144[Kernel88.next]o141:0 > -1 && o203[Kernel88.next]o141:0 < o144[Kernel88.next]o141:0 && o203[Kernel88.next]o202:0 < o144[Kernel88.next]o144:0 && o142[Kernel88.next]o144:0 > 0 && o203[Kernel88.next]o142:0 < o144[Kernel88.next]o142:0 && i104:0 >= div1 && o203[Kernel88.next]o141:0 > 0 && i104:0 - 2 * div > -2 && i104:0 - 2 * div < 2 && i104:0 - 2 * div1 > -2 && i104:0 - 2 * div1 < 2

----------------------------------------

(22)
Obligation:
Rules:
f1457_0_slide88_EQ(x, x1, x2, x1, x3, x4, x2) -> f1457_0_slide88_EQ'(x, x1, x2, x1, x3, x4, x2) :|: x3 > -1 && x - 2 * x5 = 0 && x1 > x3 && x4 < x1 && x4 > -1 && x2 > -1 && x6 < x2 && x7 < x1 && x1 > -1 && x >= x8 && x6 > 0
f1457_0_slide88_EQ'(x9, x10, x11, x10, x12, x13, x11) -> f1457_0_slide88_EQ(x14, 1, x15, x16, x17, x16, x18) :|: x12 > -1 && x9 - 2 * x19 = 0 && x10 > x12 && x13 < x10 && x13 > -1 && x11 > -1 && x18 < x11 && x16 < x10 && x10 > -1 && x9 >= x14 && x18 > 0 && x9 - 2 * x19 > -2 && x9 - 2 * x19 < 2 && x9 - 2 * x14 > -2 && x9 - 2 * x14 < 2
f1457_0_slide88_EQ(x20, x21, x22, x23, x24, x25, x26) -> f1457_0_slide88_EQ'(x20, x21, x22, x23, x24, x25, x26) :|: x27 > 0 && x23 > 0 && x20 - 2 * x28 = 0 && x24 > -1 && x21 > x24 && x27 > x25 && x25 > -1 && x26 > -1 && x29 < x26 && x30 < x27 && x21 > 0 && x31 < x23 && x20 >= x32 && x29 > 0
f1457_0_slide88_EQ'(x33, x34, x35, x36, x37, x38, x39) -> f1457_0_slide88_EQ(x40, x41, x35, x42, x34, x43, x44) :|: x45 > 0 && x36 > 0 && x33 - 2 * x46 = 0 && x37 > -1 && x34 > x37 && x45 > x38 && x38 > -1 && x39 > -1 && x44 < x39 && x43 < x45 && x34 > 0 && x42 < x36 && x33 >= x40 && x44 > 0 && x33 - 2 * x46 > -2 && x33 - 2 * x46 < 2 && x33 - 2 * x40 > -2 && x33 - 2 * x40 < 2

----------------------------------------

(23) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(24)
Obligation:
Rules:
f1457_0_slide88_EQ(x, x1, x2, x1, x3, x4, x2) -> f1457_0_slide88_EQ'(x, x1, x2, x1, x3, x4, x2) :|: x3 > -1 && x - 2 * x5 = 0 && x1 > x3 && x4 < x1 && x4 > -1 && x2 > -1 && x6 < x2 && x7 < x1 && x1 > -1 && x >= x8 && x6 > 0
f1457_0_slide88_EQ'(x9, x10, x11, x10, x12, x13, x11) -> f1457_0_slide88_EQ(x14, 1, x15, x16, x17, x16, x18) :|: x12 > -1 && x9 - 2 * x19 = 0 && x10 > x12 && x13 < x10 && x13 > -1 && x11 > -1 && x18 < x11 && x16 < x10 && x10 > -1 && x9 >= x14 && x18 > 0 && x9 - 2 * x19 > -2 && x9 - 2 * x19 < 2 && x9 - 2 * x14 > -2 && x9 - 2 * x14 < 2
f1457_0_slide88_EQ(x20, x21, x22, x23, x24, x25, x26) -> f1457_0_slide88_EQ'(x20, x21, x22, x23, x24, x25, x26) :|: x27 > 0 && x23 > 0 && x20 - 2 * x28 = 0 && x24 > -1 && x21 > x24 && x27 > x25 && x25 > -1 && x26 > -1 && x29 < x26 && x30 < x27 && x21 > 0 && x31 < x23 && x20 >= x32 && x29 > 0
f1457_0_slide88_EQ'(x33, x34, x35, x36, x37, x38, x39) -> f1457_0_slide88_EQ(x40, x41, x35, x42, x34, x43, x44) :|: x45 > 0 && x36 > 0 && x33 - 2 * x46 = 0 && x37 > -1 && x34 > x37 && x45 > x38 && x38 > -1 && x39 > -1 && x44 < x39 && x43 < x45 && x34 > 0 && x42 < x36 && x33 >= x40 && x44 > 0 && x33 - 2 * x46 > -2 && x33 - 2 * x46 < 2 && x33 - 2 * x40 > -2 && x33 - 2 * x40 < 2

----------------------------------------

(25) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f1457_0_slide88_EQ(x, x1, x2, x1, x3, x4, x2) -> f1457_0_slide88_EQ'(x, x1, x2, x1, x3, x4, x2) :|: x3 > -1 && x - 2 * x5 = 0 && x1 > x3 && x4 < x1 && x4 > -1 && x2 > -1 && x6 < x2 && x7 < x1 && x1 > -1 && x >= x8 && x6 > 0
(2) f1457_0_slide88_EQ'(x9, x10, x11, x10, x12, x13, x11) -> f1457_0_slide88_EQ(x14, 1, x15, x16, x17, x16, x18) :|: x12 > -1 && x9 - 2 * x19 = 0 && x10 > x12 && x13 < x10 && x13 > -1 && x11 > -1 && x18 < x11 && x16 < x10 && x10 > -1 && x9 >= x14 && x18 > 0 && x9 - 2 * x19 > -2 && x9 - 2 * x19 < 2 && x9 - 2 * x14 > -2 && x9 - 2 * x14 < 2
(3) f1457_0_slide88_EQ(x20, x21, x22, x23, x24, x25, x26) -> f1457_0_slide88_EQ'(x20, x21, x22, x23, x24, x25, x26) :|: x27 > 0 && x23 > 0 && x20 - 2 * x28 = 0 && x24 > -1 && x21 > x24 && x27 > x25 && x25 > -1 && x26 > -1 && x29 < x26 && x30 < x27 && x21 > 0 && x31 < x23 && x20 >= x32 && x29 > 0
(4) f1457_0_slide88_EQ'(x33, x34, x35, x36, x37, x38, x39) -> f1457_0_slide88_EQ(x40, x41, x35, x42, x34, x43, x44) :|: x45 > 0 && x36 > 0 && x33 - 2 * x46 = 0 && x37 > -1 && x34 > x37 && x45 > x38 && x38 > -1 && x39 > -1 && x44 < x39 && x43 < x45 && x34 > 0 && x42 < x36 && x33 >= x40 && x44 > 0 && x33 - 2 * x46 > -2 && x33 - 2 * x46 < 2 && x33 - 2 * x40 > -2 && x33 - 2 * x40 < 2

Arcs:
(1) -> (2), (4)
(2) -> (3)
(3) -> (2), (4)
(4) -> (1), (3)

This digraph is fully evaluated!
----------------------------------------

(26)
Obligation:

Termination digraph:
Nodes:
(1) f1457_0_slide88_EQ(x, x1, x2, x1, x3, x4, x2) -> f1457_0_slide88_EQ'(x, x1, x2, x1, x3, x4, x2) :|: x3 > -1 && x - 2 * x5 = 0 && x1 > x3 && x4 < x1 && x4 > -1 && x2 > -1 && x6 < x2 && x7 < x1 && x1 > -1 && x >= x8 && x6 > 0
(2) f1457_0_slide88_EQ'(x33, x34, x35, x36, x37, x38, x39) -> f1457_0_slide88_EQ(x40, x41, x35, x42, x34, x43, x44) :|: x45 > 0 && x36 > 0 && x33 - 2 * x46 = 0 && x37 > -1 && x34 > x37 && x45 > x38 && x38 > -1 && x39 > -1 && x44 < x39 && x43 < x45 && x34 > 0 && x42 < x36 && x33 >= x40 && x44 > 0 && x33 - 2 * x46 > -2 && x33 - 2 * x46 < 2 && x33 - 2 * x40 > -2 && x33 - 2 * x40 < 2
(3) f1457_0_slide88_EQ(x20, x21, x22, x23, x24, x25, x26) -> f1457_0_slide88_EQ'(x20, x21, x22, x23, x24, x25, x26) :|: x27 > 0 && x23 > 0 && x20 - 2 * x28 = 0 && x24 > -1 && x21 > x24 && x27 > x25 && x25 > -1 && x26 > -1 && x29 < x26 && x30 < x27 && x21 > 0 && x31 < x23 && x20 >= x32 && x29 > 0
(4) f1457_0_slide88_EQ'(x9, x10, x11, x10, x12, x13, x11) -> f1457_0_slide88_EQ(x14, 1, x15, x16, x17, x16, x18) :|: x12 > -1 && x9 - 2 * x19 = 0 && x10 > x12 && x13 < x10 && x13 > -1 && x11 > -1 && x18 < x11 && x16 < x10 && x10 > -1 && x9 >= x14 && x18 > 0 && x9 - 2 * x19 > -2 && x9 - 2 * x19 < 2 && x9 - 2 * x14 > -2 && x9 - 2 * x14 < 2

Arcs:
(1) -> (2), (4)
(2) -> (1), (3)
(3) -> (2), (4)
(4) -> (3)

This digraph is fully evaluated!

----------------------------------------

(27) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(28)
Obligation:
Rules:
f1457_0_slide88_EQ'(x33:0, x34:0, x35:0, x36:0, x37:0, x38:0, x39:0) -> f1457_0_slide88_EQ(x40:0, x41:0, x35:0, x42:0, x34:0, x43:0, x44:0) :|: x33:0 - 2 * x40:0 > -2 && x33:0 - 2 * x40:0 < 2 && x33:0 - 2 * x46:0 < 2 && x33:0 - 2 * x46:0 > -2 && x44:0 > 0 && x40:0 <= x33:0 && x42:0 < x36:0 && x34:0 > 0 && x45:0 > x43:0 && x44:0 < x39:0 && x39:0 > -1 && x38:0 > -1 && x45:0 > x38:0 && x37:0 < x34:0 && x37:0 > -1 && x33:0 - 2 * x46:0 = 0 && x36:0 > 0 && x45:0 > 0
f1457_0_slide88_EQ(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) -> f1457_0_slide88_EQ'(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) :|: x:0 >= x8:0 && x6:0 > 0 && x1:0 > -1 && x7:0 < x1:0 && x6:0 < x2:0 && x2:0 > -1 && x4:0 > -1 && x4:0 < x1:0 && x3:0 < x1:0 && x:0 - 2 * x5:0 = 0 && x3:0 > -1
f1457_0_slide88_EQ(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) -> f1457_0_slide88_EQ'(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) :|: x32:0 <= x20:0 && x29:0 > 0 && x31:0 < x23:0 && x21:0 > 0 && x30:0 < x27:0 && x29:0 < x26:0 && x26:0 > -1 && x25:0 > -1 && x27:0 > x25:0 && x24:0 < x21:0 && x24:0 > -1 && x20:0 - 2 * x28:0 = 0 && x23:0 > 0 && x27:0 > 0
f1457_0_slide88_EQ'(x9:0, x10:0, x11:0, x10:0, x12:0, x13:0, x11:0) -> f1457_0_slide88_EQ(x14:0, 1, x15:0, x16:0, x17:0, x16:0, x18:0) :|: x9:0 - 2 * x14:0 > -2 && x9:0 - 2 * x14:0 < 2 && x9:0 - 2 * x19:0 < 2 && x9:0 - 2 * x19:0 > -2 && x18:0 > 0 && x9:0 >= x14:0 && x10:0 > -1 && x16:0 < x10:0 && x18:0 < x11:0 && x11:0 > -1 && x13:0 > -1 && x13:0 < x10:0 && x12:0 < x10:0 && x9:0 - 2 * x19:0 = 0 && x12:0 > -1

----------------------------------------

(29) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f1457_0_slide88_EQ'(INTEGER, INTEGER, VARIABLE, INTEGER, INTEGER, INTEGER, INTEGER)
f1457_0_slide88_EQ(INTEGER, VARIABLE, VARIABLE, INTEGER, VARIABLE, INTEGER, INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(30)
Obligation:
Rules:
f1457_0_slide88_EQ'(x33:0, x34:0, x35:0, x36:0, x37:0, x38:0, x39:0) -> f1457_0_slide88_EQ(x40:0, x41:0, x35:0, x42:0, x34:0, x43:0, x44:0) :|: x33:0 - 2 * x40:0 > -2 && x33:0 - 2 * x40:0 < 2 && x33:0 - 2 * x46:0 < 2 && x33:0 - 2 * x46:0 > -2 && x44:0 > 0 && x40:0 <= x33:0 && x42:0 < x36:0 && x34:0 > 0 && x45:0 > x43:0 && x44:0 < x39:0 && x39:0 > -1 && x38:0 > -1 && x45:0 > x38:0 && x37:0 < x34:0 && x37:0 > -1 && x33:0 - 2 * x46:0 = 0 && x36:0 > 0 && x45:0 > 0
f1457_0_slide88_EQ(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) -> f1457_0_slide88_EQ'(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) :|: x:0 >= x8:0 && x6:0 > 0 && x1:0 > -1 && x7:0 < x1:0 && x6:0 < x2:0 && x2:0 > -1 && x4:0 > -1 && x4:0 < x1:0 && x3:0 < x1:0 && x:0 - 2 * x5:0 = 0 && x3:0 > -1
f1457_0_slide88_EQ(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) -> f1457_0_slide88_EQ'(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) :|: x32:0 <= x20:0 && x29:0 > 0 && x31:0 < x23:0 && x21:0 > 0 && x30:0 < x27:0 && x29:0 < x26:0 && x26:0 > -1 && x25:0 > -1 && x27:0 > x25:0 && x24:0 < x21:0 && x24:0 > -1 && x20:0 - 2 * x28:0 = 0 && x23:0 > 0 && x27:0 > 0
f1457_0_slide88_EQ'(x9:0, x10:0, x11:0, x10:0, x12:0, x13:0, x11:0) -> f1457_0_slide88_EQ(x14:0, c, x15:0, x16:0, x17:0, x16:0, x18:0) :|: c = 1 && (x9:0 - 2 * x14:0 > -2 && x9:0 - 2 * x14:0 < 2 && x9:0 - 2 * x19:0 < 2 && x9:0 - 2 * x19:0 > -2 && x18:0 > 0 && x9:0 >= x14:0 && x10:0 > -1 && x16:0 < x10:0 && x18:0 < x11:0 && x11:0 > -1 && x13:0 > -1 && x13:0 < x10:0 && x12:0 < x10:0 && x9:0 - 2 * x19:0 = 0 && x12:0 > -1)

----------------------------------------

(31) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f1457_0_slide88_EQ'(x, x1, x2, x3, x4, x5, x6)] = -1 + x3
[f1457_0_slide88_EQ(x7, x8, x9, x10, x11, x12, x13)] = x10

The following rules are decreasing:
f1457_0_slide88_EQ(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) -> f1457_0_slide88_EQ'(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) :|: x:0 >= x8:0 && x6:0 > 0 && x1:0 > -1 && x7:0 < x1:0 && x6:0 < x2:0 && x2:0 > -1 && x4:0 > -1 && x4:0 < x1:0 && x3:0 < x1:0 && x:0 - 2 * x5:0 = 0 && x3:0 > -1
f1457_0_slide88_EQ(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) -> f1457_0_slide88_EQ'(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) :|: x32:0 <= x20:0 && x29:0 > 0 && x31:0 < x23:0 && x21:0 > 0 && x30:0 < x27:0 && x29:0 < x26:0 && x26:0 > -1 && x25:0 > -1 && x27:0 > x25:0 && x24:0 < x21:0 && x24:0 > -1 && x20:0 - 2 * x28:0 = 0 && x23:0 > 0 && x27:0 > 0
The following rules are bounded:
f1457_0_slide88_EQ'(x33:0, x34:0, x35:0, x36:0, x37:0, x38:0, x39:0) -> f1457_0_slide88_EQ(x40:0, x41:0, x35:0, x42:0, x34:0, x43:0, x44:0) :|: x33:0 - 2 * x40:0 > -2 && x33:0 - 2 * x40:0 < 2 && x33:0 - 2 * x46:0 < 2 && x33:0 - 2 * x46:0 > -2 && x44:0 > 0 && x40:0 <= x33:0 && x42:0 < x36:0 && x34:0 > 0 && x45:0 > x43:0 && x44:0 < x39:0 && x39:0 > -1 && x38:0 > -1 && x45:0 > x38:0 && x37:0 < x34:0 && x37:0 > -1 && x33:0 - 2 * x46:0 = 0 && x36:0 > 0 && x45:0 > 0
f1457_0_slide88_EQ(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) -> f1457_0_slide88_EQ'(x:0, x1:0, x2:0, x1:0, x3:0, x4:0, x2:0) :|: x:0 >= x8:0 && x6:0 > 0 && x1:0 > -1 && x7:0 < x1:0 && x6:0 < x2:0 && x2:0 > -1 && x4:0 > -1 && x4:0 < x1:0 && x3:0 < x1:0 && x:0 - 2 * x5:0 = 0 && x3:0 > -1
f1457_0_slide88_EQ(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) -> f1457_0_slide88_EQ'(x20:0, x21:0, x22:0, x23:0, x24:0, x25:0, x26:0) :|: x32:0 <= x20:0 && x29:0 > 0 && x31:0 < x23:0 && x21:0 > 0 && x30:0 < x27:0 && x29:0 < x26:0 && x26:0 > -1 && x25:0 > -1 && x27:0 > x25:0 && x24:0 < x21:0 && x24:0 > -1 && x20:0 - 2 * x28:0 = 0 && x23:0 > 0 && x27:0 > 0
f1457_0_slide88_EQ'(x9:0, x10:0, x11:0, x10:0, x12:0, x13:0, x11:0) -> f1457_0_slide88_EQ(x14:0, c, x15:0, x16:0, x17:0, x16:0, x18:0) :|: c = 1 && (x9:0 - 2 * x14:0 > -2 && x9:0 - 2 * x14:0 < 2 && x9:0 - 2 * x19:0 < 2 && x9:0 - 2 * x19:0 > -2 && x18:0 > 0 && x9:0 >= x14:0 && x10:0 > -1 && x16:0 < x10:0 && x18:0 < x11:0 && x11:0 > -1 && x13:0 > -1 && x13:0 < x10:0 && x12:0 < x10:0 && x9:0 - 2 * x19:0 = 0 && x12:0 > -1)

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(32)
Obligation:
Rules:
f1457_0_slide88_EQ'(x33:0, x34:0, x35:0, x36:0, x37:0, x38:0, x39:0) -> f1457_0_slide88_EQ(x40:0, x41:0, x35:0, x42:0, x34:0, x43:0, x44:0) :|: x33:0 - 2 * x40:0 > -2 && x33:0 - 2 * x40:0 < 2 && x33:0 - 2 * x46:0 < 2 && x33:0 - 2 * x46:0 > -2 && x44:0 > 0 && x40:0 <= x33:0 && x42:0 < x36:0 && x34:0 > 0 && x45:0 > x43:0 && x44:0 < x39:0 && x39:0 > -1 && x38:0 > -1 && x45:0 > x38:0 && x37:0 < x34:0 && x37:0 > -1 && x33:0 - 2 * x46:0 = 0 && x36:0 > 0 && x45:0 > 0
f1457_0_slide88_EQ'(x9:0, x10:0, x11:0, x10:0, x12:0, x13:0, x11:0) -> f1457_0_slide88_EQ(x14:0, c, x15:0, x16:0, x17:0, x16:0, x18:0) :|: c = 1 && (x9:0 - 2 * x14:0 > -2 && x9:0 - 2 * x14:0 < 2 && x9:0 - 2 * x19:0 < 2 && x9:0 - 2 * x19:0 > -2 && x18:0 > 0 && x9:0 >= x14:0 && x10:0 > -1 && x16:0 < x10:0 && x18:0 < x11:0 && x11:0 > -1 && x13:0 > -1 && x13:0 < x10:0 && x12:0 < x10:0 && x9:0 - 2 * x19:0 = 0 && x12:0 > -1)

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(33) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f1457_0_slide88_EQ'(x, x1, x2, x3, x4, x5, x6)] = 1
[f1457_0_slide88_EQ(x7, x8, x9, x10, x11, x12, x13)] = 0

The following rules are decreasing:
f1457_0_slide88_EQ'(x33:0, x34:0, x35:0, x36:0, x37:0, x38:0, x39:0) -> f1457_0_slide88_EQ(x40:0, x41:0, x35:0, x42:0, x34:0, x43:0, x44:0) :|: x33:0 - 2 * x40:0 > -2 && x33:0 - 2 * x40:0 < 2 && x33:0 - 2 * x46:0 < 2 && x33:0 - 2 * x46:0 > -2 && x44:0 > 0 && x40:0 <= x33:0 && x42:0 < x36:0 && x34:0 > 0 && x45:0 > x43:0 && x44:0 < x39:0 && x39:0 > -1 && x38:0 > -1 && x45:0 > x38:0 && x37:0 < x34:0 && x37:0 > -1 && x33:0 - 2 * x46:0 = 0 && x36:0 > 0 && x45:0 > 0
f1457_0_slide88_EQ'(x9:0, x10:0, x11:0, x10:0, x12:0, x13:0, x11:0) -> f1457_0_slide88_EQ(x14:0, c, x15:0, x16:0, x17:0, x16:0, x18:0) :|: c = 1 && (x9:0 - 2 * x14:0 > -2 && x9:0 - 2 * x14:0 < 2 && x9:0 - 2 * x19:0 < 2 && x9:0 - 2 * x19:0 > -2 && x18:0 > 0 && x9:0 >= x14:0 && x10:0 > -1 && x16:0 < x10:0 && x18:0 < x11:0 && x11:0 > -1 && x13:0 > -1 && x13:0 < x10:0 && x12:0 < x10:0 && x9:0 - 2 * x19:0 = 0 && x12:0 > -1)
The following rules are bounded:
f1457_0_slide88_EQ'(x33:0, x34:0, x35:0, x36:0, x37:0, x38:0, x39:0) -> f1457_0_slide88_EQ(x40:0, x41:0, x35:0, x42:0, x34:0, x43:0, x44:0) :|: x33:0 - 2 * x40:0 > -2 && x33:0 - 2 * x40:0 < 2 && x33:0 - 2 * x46:0 < 2 && x33:0 - 2 * x46:0 > -2 && x44:0 > 0 && x40:0 <= x33:0 && x42:0 < x36:0 && x34:0 > 0 && x45:0 > x43:0 && x44:0 < x39:0 && x39:0 > -1 && x38:0 > -1 && x45:0 > x38:0 && x37:0 < x34:0 && x37:0 > -1 && x33:0 - 2 * x46:0 = 0 && x36:0 > 0 && x45:0 > 0
f1457_0_slide88_EQ'(x9:0, x10:0, x11:0, x10:0, x12:0, x13:0, x11:0) -> f1457_0_slide88_EQ(x14:0, c, x15:0, x16:0, x17:0, x16:0, x18:0) :|: c = 1 && (x9:0 - 2 * x14:0 > -2 && x9:0 - 2 * x14:0 < 2 && x9:0 - 2 * x19:0 < 2 && x9:0 - 2 * x19:0 > -2 && x18:0 > 0 && x9:0 >= x14:0 && x10:0 > -1 && x16:0 < x10:0 && x18:0 < x11:0 && x11:0 > -1 && x13:0 > -1 && x13:0 < x10:0 && x12:0 < x10:0 && x9:0 - 2 * x19:0 = 0 && x12:0 > -1)

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(34)
YES