/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

******** General Schema criterion ********
Found constructors: cons, false, nil, true
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) and(true,true) => true
 (fun and>true) >>True
Checking  (2) and(true,false) => false
 (fun and>false) >>True
Checking  (3) and(false,true) => false
 (fun and>false) >>True
Checking  (4) and(false,false) => false
 (fun and>false) >>True
Checking  (5) or(true,true) => true
 (fun or>true) >>True
Checking  (6) or(true,false) => true
 (fun or>true) >>True
Checking  (7) or(false,true) => true
 (fun or>true) >>True
Checking  (8) or(false,false) => false
 (fun or>false) >>True
Checking  (9) forall(F,nil) => true
 (fun forall>true) >>True
Checking  (10) forall(Z,cons(U,V)) => and(Z[U],forall(Z,V))
 (fun forall>and)
 (meta Z)[is acc in Z,cons(U,V)] [is acc in Z] 
 (meta U)[is acc in Z,cons(U,V)] [is positive in cons(U,V)] [is acc in U] 
 (fun forall=forall) subterm comparison of args w. LR LR
 (meta Z)[is acc in Z,cons(U,V)] [is acc in Z] 
 (meta V)[is acc in Z,cons(U,V)] [is positive in cons(U,V)] [is acc in V]  >>True
Checking  (11) forsome(I,nil) => false
 (fun forsome>false) >>True
Checking  (12) forsome(J,cons(X1,Y1)) => or(J[X1],forsome(J,Y1))
 (fun forsome>or)
 (meta J)[is acc in J,cons(X1,Y1)] [is acc in J] 
 (meta X1)[is acc in J,cons(X1,Y1)] [is positive in cons(X1,Y1)] [is acc in X1] 
 (fun forsome=forsome) subterm comparison of args w. LR LR
 (meta J)[is acc in J,cons(X1,Y1)] [is acc in J] 
 (meta Y1)[is acc in J,cons(X1,Y1)] [is positive in cons(X1,Y1)] [is acc in Y1]  >>True
#SN!
******** Signature ********
 and : (c,c) -> c
 cons : (a,b) -> b
 false : c
 forall : ((a -> c),b) -> c
 forsome : ((a -> c),b) -> c
 nil : b
 or : (c,c) -> c
 true : c
******** Computation Rules ********
 (1)  and(true,true) => true
 (2)  and(true,false) => false
 (3)  and(false,true) => false
 (4)  and(false,false) => false
 (5)  or(true,true) => true
 (6)  or(true,false) => true
 (7)  or(false,true) => true
 (8)  or(false,false) => false
 (9)  forall(F,nil) => true
 (10)  forall(Z,cons(U,V)) => and(Z[U],forall(Z,V))
 (11)  forsome(I,nil) => false
 (12)  forsome(J,cons(X1,Y1)) => or(J[X1],forsome(J,Y1))

YES