%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV634+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:59:35 PM UTC 2026
% Result : Theorem 74.62s 24.68s
% Output : Refutation 74.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 90
% Number of leaves : 9
% Syntax : Number of formulae : 129 ( 24 unt; 2 def)
% Number of atoms : 338 ( 7 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 385 ( 176 ~; 162 |; 28 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 45 ( 10 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 37 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,axiom,
cCoq_2eInit_2eNat_2esucc = cCoq_2eInit_2eDatatypes_2eS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.Init.Nat.succ') ).
fof(f97,axiom,
cCoq_2eInit_2eNat_2etwo = cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.Init.Nat.two') ).
fof(f647,axiom,
! [X0] :
( c_24__type__7___24t(X0)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X1)
=> cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_7') ).
fof(f807,axiom,
c_24__type__7___24t(cCoq_2eInit_2eNat_2esucc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Coq.Init.Nat.succ') ).
fof(f811,axiom,
cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eNat_2etwo),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Coq.Init.Nat.two') ).
fof(f1908,axiom,
! [X0] : happ(cCoq_2eInit_2eDatatypes_2eS,X0) = cCoq_2eInit_2eDatatypes_2eS___24a1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Coq.Init.Datatypes.S_$a1') ).
fof(f2535,conjecture,
! [X0] :
( c_24__type__912___24t(X0)
=> ! [X1] :
( c_24__type__16291___24t(X1)
=> ( ? [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X2)
& p(happ(happ(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),X2)) )
=> ( ! [X3] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X3)
=> ! [X4] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X4)
=> ( p(happ(happ(X0,X3),X4))
=> p(happ(X1,X3)) ) ) )
=> p(happ(X1,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))))))))))))))))))))))))))))))))))))))))))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2536,negated_conjecture,
~ ! [X0] :
( c_24__type__912___24t(X0)
=> ! [X1] :
( c_24__type__16291___24t(X1)
=> ( ? [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X2)
& p(happ(happ(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),X2)) )
=> ( ! [X3] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X3)
=> ! [X4] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X4)
=> ( p(happ(happ(X0,X3),X4))
=> p(happ(X1,X3)) ) ) )
=> p(happ(X1,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))))))))))))))))))))))))))))))))))))))))))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2535]) ).
fof(f3192,plain,
! [X0] :
( c_24__type__7___24t(X0)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) ),
inference(ennf_transformation,[],[f647]) ).
fof(f4271,plain,
? [X0] :
( ? [X1] :
( ~ p(happ(X1,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))))
& ! [X3] :
( ! [X4] :
( p(happ(X1,X3))
| ~ p(happ(happ(X0,X3),X4))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X4) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X3) )
& ? [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X2)
& p(happ(happ(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),X2)) )
& c_24__type__16291___24t(X1) )
& c_24__type__912___24t(X0) ),
inference(ennf_transformation,[],[f2536]) ).
fof(f4272,plain,
? [X0] :
( ? [X1] :
( ~ p(happ(X1,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))))
& ! [X3] :
( ! [X4] :
( p(happ(X1,X3))
| ~ p(happ(happ(X0,X3),X4))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X4) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X3) )
& ? [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X2)
& p(happ(happ(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),X2)) )
& c_24__type__16291___24t(X1) )
& c_24__type__912___24t(X0) ),
inference(flattening,[],[f4271]) ).
fof(f6453,plain,
! [X0] :
( ( c_24__type__7___24t(X0)
| ? [X1] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) )
& ( ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
| ~ c_24__type__7___24t(X0) ) ),
inference(nnf_transformation,[],[f3192]) ).
fof(f6454,plain,
! [X0] :
( ( c_24__type__7___24t(X0)
| ? [X1] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) )
& ( ! [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
| ~ c_24__type__7___24t(X0) ) ),
inference(rectify,[],[f6453]) ).
fof(f6455,plain,
! [X0] :
( ( c_24__type__7___24t(X0)
| ( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,sK1479(X0)))
& cCoq_2eInit_2eDatatypes_2enat___24t(sK1479(X0)) ) )
& ( ! [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
| ~ c_24__type__7___24t(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1479]),skolemize(X1,sK1479(X0))],[f6454]) ).
fof(f7242,plain,
? [X0] :
( ? [X1] :
( ~ p(happ(X1,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))))
& ! [X2] :
( ! [X3] :
( p(happ(X1,X2))
| ~ p(happ(happ(X0,X2),X3))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X3) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
& ? [X4] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X4)
& p(happ(happ(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),X4)) )
& c_24__type__16291___24t(X1) )
& c_24__type__912___24t(X0) ),
inference(rectify,[],[f4272]) ).
fof(f7243,plain,
( ~ p(happ(sK1733,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))))
& ! [X2] :
( ! [X3] :
( p(happ(sK1733,X2))
| ~ p(happ(happ(sK1732,X2),X3))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X3) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
& cCoq_2eInit_2eDatatypes_2enat___24t(sK1734)
& p(happ(happ(sK1732,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),sK1734))
& c_24__type__16291___24t(sK1733)
& c_24__type__912___24t(sK1732) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1732,sK1733,sK1734]),skolemize(X0,sK1732),skolemize(X1,sK1733),skolemize(X4,sK1734)],[f7242]) ).
fof(f7768,plain,
cCoq_2eInit_2eNat_2esucc = cCoq_2eInit_2eDatatypes_2eS,
inference(cnf_transformation,[],[f93]) ).
fof(f7782,plain,
cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)) = cCoq_2eInit_2eNat_2etwo,
inference(cnf_transformation,[],[f97]) ).
fof(f10757,plain,
! [X2,X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2)
| ~ c_24__type__7___24t(X0) ),
inference(cnf_transformation,[],[f6455]) ).
fof(f11107,plain,
c_24__type__7___24t(cCoq_2eInit_2eNat_2esucc),
inference(cnf_transformation,[],[f807]) ).
fof(f11111,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eNat_2etwo),
inference(cnf_transformation,[],[f811]) ).
fof(f12577,plain,
! [X0] : cCoq_2eInit_2eDatatypes_2eS___24a1(X0) = happ(cCoq_2eInit_2eDatatypes_2eS,X0),
inference(cnf_transformation,[],[f1908]) ).
fof(f13544,plain,
p(happ(happ(sK1732,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),sK1734)),
inference(cnf_transformation,[],[f7243]) ).
fof(f13545,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(sK1734),
inference(cnf_transformation,[],[f7243]) ).
fof(f13546,plain,
! [X2,X3] :
( p(happ(sK1733,X2))
| ~ p(happ(happ(sK1732,X2),X3))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X3)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) ),
inference(cnf_transformation,[],[f7243]) ).
fof(f13547,plain,
~ p(happ(sK1733,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))))))))))))))))))))))))))))))))))))))))))),
inference(cnf_transformation,[],[f7243]) ).
fof(f13987,plain,
cCoq_2eInit_2eNat_2etwo = happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eDatatypes_2eO)),
inference(definition_unfolding,[],[f7782,f12577,f12577]) ).
fof(f15325,plain,
c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS),
inference(definition_unfolding,[],[f11107,f7768]) ).
fof(f16327,plain,
~ p(happ(sK1733,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eDatatypes_2eO)))))))))))))))))))))))))))))))))))))))))))),
inference(definition_unfolding,[],[f13547,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577]) ).
fof(f16328,plain,
p(happ(happ(sK1732,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),sK1734)),
inference(definition_unfolding,[],[f13544,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577,f12577]) ).
fof(f42509,plain,
! [X0] :
( ~ p(happ(happ(sK1732,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))),X0))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))) ),
inference(resolution,[],[f16327,f13546]) ).
fof(f42513,plain,
! [X0] :
( ~ p(happ(happ(sK1732,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))),X0))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eDatatypes_2eO))))))))))))))))))))))))))))))))))))))))))) ),
inference(forward_demodulation,[],[f42509,f13987]) ).
fof(f42514,plain,
! [X0] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))))))))
| ~ p(happ(happ(sK1732,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))),X0))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(forward_demodulation,[],[f42513,f13987]) ).
fof(f42516,definition,
( spl1735_2242
<=> ! [X0] :
( ~ p(happ(happ(sK1732,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))),X0))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1735_2242])],[avatar_definition]) ).
fof(f42517,plain,
( ! [X0] :
( ~ p(happ(happ(sK1732,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))),X0))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) )
| ~ spl1735_2242 ),
inference(avatar_component_clause,[],[f42516]) ).
fof(f42519,definition,
( spl1735_2243
<=> cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[spl1735_2243])],[avatar_definition]) ).
fof(f42521,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(avatar_component_clause,[],[f42519]) ).
fof(f42522,plain,
( spl1735_2242
| ~ spl1735_2243 ),
inference(avatar_split_clause,[],[f42514,f42519,f42516]) ).
fof(f42600,plain,
p(happ(happ(sK1732,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))),sK1734)),
inference(superposition,[],[f16328,f13987]) ).
fof(f43748,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f42521,f10757]) ).
fof(f43799,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f43748,f15325]) ).
fof(f43886,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f43799,f10757]) ).
fof(f43898,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f43886,f15325]) ).
fof(f43934,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f43898,f10757]) ).
fof(f43940,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f43934,f15325]) ).
fof(f43964,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f43940,f10757]) ).
fof(f43970,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f43964,f15325]) ).
fof(f43989,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f43970,f10757]) ).
fof(f43995,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f43989,f15325]) ).
fof(f44009,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f43995,f10757]) ).
fof(f44015,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44009,f15325]) ).
fof(f44022,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44015,f10757]) ).
fof(f44028,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44022,f15325]) ).
fof(f44035,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44028,f10757]) ).
fof(f44041,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44035,f15325]) ).
fof(f44048,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44041,f10757]) ).
fof(f44054,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44048,f15325]) ).
fof(f44061,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44054,f10757]) ).
fof(f44067,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44061,f15325]) ).
fof(f44074,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44067,f10757]) ).
fof(f44080,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44074,f15325]) ).
fof(f44087,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44080,f10757]) ).
fof(f44093,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44087,f15325]) ).
fof(f44100,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44093,f10757]) ).
fof(f44106,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44100,f15325]) ).
fof(f44113,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44106,f10757]) ).
fof(f44119,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44113,f15325]) ).
fof(f44126,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44119,f10757]) ).
fof(f44132,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44126,f15325]) ).
fof(f44139,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44132,f10757]) ).
fof(f44145,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44139,f15325]) ).
fof(f44152,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44145,f10757]) ).
fof(f44158,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44152,f15325]) ).
fof(f44165,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44158,f10757]) ).
fof(f44171,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44165,f15325]) ).
fof(f44178,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44171,f10757]) ).
fof(f44184,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44178,f15325]) ).
fof(f44191,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44184,f10757]) ).
fof(f44197,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44191,f15325]) ).
fof(f44204,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44197,f10757]) ).
fof(f44210,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44204,f15325]) ).
fof(f44217,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44210,f10757]) ).
fof(f44223,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44217,f15325]) ).
fof(f44230,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44223,f10757]) ).
fof(f44236,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44230,f15325]) ).
fof(f44243,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44236,f10757]) ).
fof(f44249,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44243,f15325]) ).
fof(f44256,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44249,f10757]) ).
fof(f44262,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44256,f15325]) ).
fof(f44269,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44262,f10757]) ).
fof(f44275,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44269,f15325]) ).
fof(f44282,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44275,f10757]) ).
fof(f44288,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44282,f15325]) ).
fof(f44295,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44288,f10757]) ).
fof(f44301,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44295,f15325]) ).
fof(f44308,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44301,f10757]) ).
fof(f44314,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44308,f15325]) ).
fof(f44321,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44314,f10757]) ).
fof(f44327,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44321,f15325]) ).
fof(f44334,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44327,f10757]) ).
fof(f44340,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44334,f15325]) ).
fof(f44347,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44340,f10757]) ).
fof(f44353,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44347,f15325]) ).
fof(f44360,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44353,f10757]) ).
fof(f44366,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44360,f15325]) ).
fof(f44373,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44366,f10757]) ).
fof(f44379,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44373,f15325]) ).
fof(f44386,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44379,f10757]) ).
fof(f44392,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44386,f15325]) ).
fof(f44399,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44392,f10757]) ).
fof(f44405,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44399,f15325]) ).
fof(f44412,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44405,f10757]) ).
fof(f44418,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44412,f15325]) ).
fof(f44425,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44418,f10757]) ).
fof(f44431,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo)))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44425,f15325]) ).
fof(f44438,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44431,f10757]) ).
fof(f44444,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2etwo))
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44438,f15325]) ).
fof(f44451,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eNat_2etwo)
| ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(resolution,[],[f44444,f10757]) ).
fof(f44457,plain,
( ~ c_24__type__7___24t(cCoq_2eInit_2eDatatypes_2eS)
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44451,f11111]) ).
fof(f44458,plain,
( $false
| spl1735_2243 ),
inference(forward_subsumption_resolution,[],[f44457,f15325]) ).
fof(f44459,plain,
spl1735_2243,
inference(avatar_contradiction_clause,[],[f44458]) ).
fof(f44676,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK1734)
| ~ spl1735_2242 ),
inference(resolution,[],[f42517,f42600]) ).
fof(f44678,plain,
( $false
| ~ spl1735_2242 ),
inference(forward_subsumption_resolution,[],[f44676,f13545]) ).
fof(f44679,plain,
~ spl1735_2242,
inference(avatar_contradiction_clause,[],[f44678]) ).
cnf(s2124,plain,
( spl1735_2242
| ~ spl1735_2243 ),
inference(sat_conversion,[],[f42522]) ).
cnf(s2160,plain,
spl1735_2243,
inference(sat_conversion,[],[f44459]) ).
cnf(s2177,plain,
~ spl1735_2242,
inference(sat_conversion,[],[f44679]) ).
cnf(s2178,plain,
$false,
inference(rat,[],[s2124,s2160,s2177]) ).
fof(f44682,plain,
$false,
inference(avatar_sat_refutation,[],[s2178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV634+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n026.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 06:48:27 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.43/3.89 % (3658190)Will run a generic schedule for satisfiability detection.
% 22.43/3.89 % (3658200)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=206136439:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 22.43/3.89 % (3658196)% WARNING: option uhcvi not known.
% 22.43/3.89 % (3658195)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=987913796_2997 on theBenchmark for (2997ds/0Mi)
% 22.43/3.89 % (3658196)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4199991869:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 22.43/3.89 % (3658197)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4041511673:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 22.43/3.89 % (3658198)dis+10_1_sil=32000:sp=arity:random_seed=974645730:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 22.43/3.89 % (3658199)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1587897250:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 22.43/3.89 % (3658201)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=895897446:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 22.43/3.89 % (3658200)Instruction limit reached!
% 22.43/3.89 % (3658200)------------------------------
% 22.43/3.89 % (3658200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.89 % (3658200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.89 % (3658200)CaDiCaL version: 2.1.3
% 22.43/3.89 % (3658200)Termination reason: Instruction limit
% 22.43/3.89 % (3658200)Termination phase: Preprocessing 3
% 22.43/3.89 % (3658200)Time elapsed: 0.040 s
% 22.43/3.89 % (3658200)Peak memory usage: 18 MB
% 22.43/3.89 % (3658200)Instructions burned: 132 (million)
% 22.43/3.89 % (3658209)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=834294786:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 22.43/3.89 % (3658198)Instruction limit reached!
% 22.43/3.89 % (3658198)------------------------------
% 22.43/3.89 % (3658198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.89 % (3658198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.89 % (3658198)CaDiCaL version: 2.1.3
% 22.43/3.89 % (3658198)Termination reason: Instruction limit
% 22.43/3.89 % (3658198)Termination phase: Preprocessing 3
% 22.43/3.89 % (3658198)Time elapsed: 0.054 s
% 22.43/3.89 % (3658198)Peak memory usage: 17 MB
% 22.43/3.89 % (3658198)Instructions burned: 103 (million)
% 22.43/3.89 % (3658199)Instruction limit reached!
% 22.43/3.89 % (3658199)------------------------------
% 22.43/3.89 % (3658199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.89 % (3658199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.89 % (3658199)CaDiCaL version: 2.1.3
% 22.43/3.89 % (3658199)Termination reason: Instruction limit
% 22.43/3.89 % (3658199)Termination phase: NewCNF
% 22.43/3.89 % (3658199)Time elapsed: 0.065 s
% 22.43/3.89 % (3658199)Peak memory usage: 18 MB
% 22.43/3.89 % (3658199)Instructions burned: 116 (million)
% 22.43/3.89 % (3658211)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3047624552:i=131:bd=preordered:fsd=on_2996 on theBenchmark for (2996ds/131Mi)
% 22.43/3.89 % (3658201)Instruction limit reached!
% 22.43/3.89 % (3658201)------------------------------
% 22.43/3.89 % (3658201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.89 % (3658201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.89 % (3658201)CaDiCaL version: 2.1.3
% 22.43/3.89 % (3658201)Termination reason: Instruction limit
% 22.43/3.89 % (3658201)Termination phase: Property scanning
% 22.43/3.89 % (3658201)Time elapsed: 0.083 s
% 22.43/3.89 % (3658201)Peak memory usage: 19 MB
% 22.43/3.89 % (3658201)Instructions burned: 160 (million)
% 22.43/3.89 % (3658212)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=823311636:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 22.43/3.89 % (3658215)ott-21_1_sil=16000:fs=off:random_seed=3960475212:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 22.43/3.89 % (3658211)Instruction limit reached!
% 22.43/3.89 % (3658211)------------------------------
% 22.43/3.89 % (3658211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.89 % (3658211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.25/6.82 % (3658211)CaDiCaL version: 2.1.3
% 43.25/6.82 % (3658211)Termination reason: Instruction limit
% 43.25/6.82 % (3658211)Termination phase: Preprocessing 3
% 43.25/6.82 % (3658211)Time elapsed: 0.069 s
% 43.25/6.82 % (3658211)Peak memory usage: 18 MB
% 43.25/6.82 % (3658211)Instructions burned: 132 (million)
% 43.25/6.82 % (3658217)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1002924165:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 43.25/6.82 % (3658215)Instruction limit reached!
% 43.25/6.82 % (3658215)------------------------------
% 43.25/6.82 % (3658215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.25/6.82 % (3658215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.25/6.82 % (3658215)CaDiCaL version: 2.1.3
% 43.25/6.82 % (3658215)Termination reason: Instruction limit
% 43.25/6.82 % (3658215)Termination phase: Property scanning
% 43.25/6.82 % (3658215)Time elapsed: 0.088 s
% 43.25/6.82 % (3658215)Peak memory usage: 19 MB
% 43.25/6.82 % (3658215)Instructions burned: 182 (million)
% 43.25/6.82 % (3658209)Instruction limit reached!
% 43.25/6.82 % (3658209)------------------------------
% 43.25/6.82 % (3658209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.25/6.82 % (3658209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.25/6.82 % (3658209)CaDiCaL version: 2.1.3
% 43.25/6.82 % (3658209)Termination reason: Instruction limit
% 43.25/6.82 % (3658209)Termination phase: Finite model building preprocessing
% 43.25/6.82 % (3658209)Time elapsed: 0.169 s
% 43.25/6.82 % (3658209)Peak memory usage: 26 MB
% 43.25/6.82 % (3658209)Instructions burned: 715 (million)
% 43.25/6.82 % (3658219)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1202388387:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 43.25/6.82 % (3658221)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=29578081:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 43.25/6.82 % (3658217)Instruction limit reached!
% 43.25/6.82 % (3658217)------------------------------
% 43.25/6.82 % (3658217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.25/6.82 % (3658217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.25/6.82 % (3658217)CaDiCaL version: 2.1.3
% 43.25/6.82 % (3658217)Termination reason: Instruction limit
% 43.25/6.82 % (3658217)Termination phase: Property scanning
% 43.25/6.82 % (3658217)Time elapsed: 0.207 s
% 43.25/6.82 % (3658217)Peak memory usage: 21 MB
% 43.25/6.82 % (3658217)Instructions burned: 479 (million)
% 43.25/6.82 % (3658212)Instruction limit reached!
% 43.25/6.82 % (3658212)------------------------------
% 43.25/6.82 % (3658212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.25/6.82 % (3658212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.25/6.82 % (3658212)CaDiCaL version: 2.1.3
% 43.25/6.82 % (3658212)Termination reason: Instruction limit
% 43.25/6.82 % (3658212)Termination phase: Property scanning
% 43.25/6.82 % (3658212)Time elapsed: 0.286 s
% 43.25/6.82 % (3658212)Peak memory usage: 22 MB
% 43.25/6.82 % (3658212)Instructions burned: 687 (million)
% 43.25/6.82 % (3658223)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4166420264:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 43.25/6.82 % (3658224)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3298340150:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 43.25/6.82 % (3658221)Instruction limit reached!
% 43.25/6.82 % (3658221)------------------------------
% 43.25/6.82 % (3658221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.25/6.82 % (3658221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.25/6.82 % (3658221)CaDiCaL version: 2.1.3
% 43.25/6.82 % (3658221)Termination reason: Instruction limit
% 43.25/6.82 % (3658221)Termination phase: Saturation
% 43.25/6.82 % (3658221)Time elapsed: 0.298 s
% 43.25/6.82 % (3658221)Peak memory usage: 32 MB
% 43.25/6.82 % (3658221)Instructions burned: 1182 (million)
% 43.25/6.82 % (3658227)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1238426310:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 43.25/6.82 % (3658219)Instruction limit reached!
% 43.25/6.82 % (3658219)------------------------------
% 43.25/6.82 % (3658219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.25/6.82 % (3658219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.79/11.64 % (3658219)CaDiCaL version: 2.1.3
% 77.79/11.64 % (3658219)Termination reason: Instruction limit
% 77.79/11.64 % (3658219)Termination phase: Finite model building preprocessing
% 77.79/11.64 % (3658219)Time elapsed: 0.391 s
% 77.79/11.64 % (3658219)Peak memory usage: 27 MB
% 77.79/11.64 % (3658219)Instructions burned: 865 (million)
% 77.79/11.64 % (3658229)fmb+10_1_sil=64000:random_seed=2954005670:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 77.79/11.64 % (3658224)Instruction limit reached!
% 77.79/11.64 % (3658224)------------------------------
% 77.79/11.64 % (3658224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 77.79/11.64 % (3658224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.79/11.64 % (3658224)CaDiCaL version: 2.1.3
% 77.79/11.64 % (3658224)Termination reason: Instruction limit
% 77.79/11.64 % (3658224)Termination phase: Saturation
% 77.79/11.64 % (3658224)Time elapsed: 0.300 s
% 77.79/11.64 % (3658224)Peak memory usage: 25 MB
% 77.79/11.64 % (3658224)Instructions burned: 692 (million)
% 77.79/11.64 % (3658231)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1286951580:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 77.79/11.64 % (3658227)Instruction limit reached!
% 77.79/11.64 % (3658227)------------------------------
% 77.79/11.64 % (3658227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 77.79/11.64 % (3658227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.79/11.64 % (3658227)CaDiCaL version: 2.1.3
% 77.79/11.64 % (3658227)Termination reason: Instruction limit
% 77.79/11.64 % (3658227)Termination phase: Saturation
% 77.79/11.64 % (3658227)Time elapsed: 0.204 s
% 77.79/11.64 % (3658227)Peak memory usage: 27 MB
% 77.79/11.64 % (3658227)Instructions burned: 882 (million)
% 77.79/11.64 % (3658233)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3876113363:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 77.79/11.64 % (3658223)Instruction limit reached!
% 77.79/11.64 % (3658223)------------------------------
% 77.79/11.64 % (3658223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 77.79/11.64 % (3658223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.79/11.64 % (3658223)CaDiCaL version: 2.1.3
% 77.79/11.64 % (3658223)Termination reason: Instruction limit
% 77.79/11.64 % (3658223)Termination phase: Finite model building preprocessing
% 77.79/11.64 % (3658223)Time elapsed: 0.404 s
% 77.79/11.64 % (3658223)Peak memory usage: 27 MB
% 77.79/11.64 % (3658223)Instructions burned: 890 (million)
% 77.79/11.64 % (3658235)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3027894056:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 77.79/11.64 % (3658233)Instruction limit reached!
% 77.79/11.64 % (3658233)------------------------------
% 77.79/11.64 % (3658233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 77.79/11.64 % (3658233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.79/11.64 % (3658233)CaDiCaL version: 2.1.3
% 77.79/11.64 % (3658233)Termination reason: Instruction limit
% 77.79/11.64 % (3658233)Termination phase: Finite model building preprocessing
% 77.79/11.64 % (3658233)Time elapsed: 0.227 s
% 77.79/11.64 % (3658233)Peak memory usage: 27 MB
% 77.79/11.64 % (3658233)Instructions burned: 922 (million)
% 77.79/11.64 % (3658237)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=111926808:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 77.79/11.64 % (3658237)Instruction limit reached!
% 77.79/11.64 % (3658237)------------------------------
% 77.79/11.64 % (3658237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 77.79/11.64 % (3658237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.79/11.64 % (3658237)CaDiCaL version: 2.1.3
% 77.79/11.64 % (3658237)Termination reason: Instruction limit
% 77.79/11.64 % (3658237)Termination phase: Saturation
% 77.79/11.64 % (3658237)Time elapsed: 0.462 s
% 77.79/11.64 % (3658237)Peak memory usage: 25 MB
% 77.79/11.64 % (3658237)Instructions burned: 1478 (million)
% 77.79/11.64 % (3658239)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1507840678:i=6324_2982 on theBenchmark for (2982ds/6324Mi)
% 77.79/11.64 % (3658239)Instruction limit reached!
% 77.79/11.64 % (3658239)------------------------------
% 77.79/11.64 % (3658239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 77.79/11.64 % (3658239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.79/11.64 % (3658239)CaDiCaL version: 2.1.3
% 77.79/11.64 % (3658239)Termination reason: Instruction limit
% 161.45/23.45 % (3658239)Termination phase: Finite model building preprocessing
% 161.45/23.45 % (3658239)Time elapsed: 1.707 s
% 161.45/23.45 % (3658239)Peak memory usage: 54 MB
% 161.45/23.45 % (3658239)Instructions burned: 6325 (million)
% 161.45/23.45 % (3658241)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4080305041:fmbsr=2.30978:i=2174_2965 on theBenchmark for (2965ds/2174Mi)
% 161.45/23.45 % (3658235)Instruction limit reached!
% 161.45/23.45 % (3658235)------------------------------
% 161.45/23.45 % (3658235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.45/23.45 % (3658235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.45/23.45 % (3658235)CaDiCaL version: 2.1.3
% 161.45/23.45 % (3658235)Termination reason: Instruction limit
% 161.45/23.45 % (3658235)Termination phase: Saturation
% 161.45/23.45 % (3658235)Time elapsed: 2.584 s
% 161.45/23.45 % (3658235)Peak memory usage: 76 MB
% 161.45/23.45 % (3658235)Instructions burned: 5132 (million)
% 161.45/23.45 % (3658243)ott-2_1_sil=16000:newcnf=on:random_seed=3123718893:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2963 on theBenchmark for (2963ds/869Mi)
% 161.45/23.45 % (3658241)Instruction limit reached!
% 161.45/23.45 % (3658241)------------------------------
% 161.45/23.45 % (3658241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.45/23.45 % (3658241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.45/23.45 % (3658241)CaDiCaL version: 2.1.3
% 161.45/23.45 % (3658241)Termination reason: Instruction limit
% 161.45/23.45 % (3658241)Termination phase: Finite model building preprocessing
% 161.45/23.45 % (3658241)Time elapsed: 0.540 s
% 161.45/23.45 % (3658241)Peak memory usage: 46 MB
% 161.45/23.45 % (3658241)Instructions burned: 2176 (million)
% 161.45/23.45 % (3658245)ott+10_1_sil=32000:tgt=ground:random_seed=1748265861:i=5114:av=off_2959 on theBenchmark for (2959ds/5114Mi)
% 161.45/23.45 % (3658243)Instruction limit reached!
% 161.45/23.45 % (3658243)------------------------------
% 161.45/23.45 % (3658243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.45/23.45 % (3658243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.45/23.45 % (3658243)CaDiCaL version: 2.1.3
% 161.45/23.45 % (3658243)Termination reason: Instruction limit
% 161.45/23.45 % (3658243)Termination phase: Saturation
% 161.45/23.45 % (3658243)Time elapsed: 0.364 s
% 161.45/23.45 % (3658243)Peak memory usage: 25 MB
% 161.45/23.45 % (3658243)Instructions burned: 869 (million)
% 161.45/23.45 % (3658247)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1921615483:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 161.45/23.45 % TRYING [1]
% 161.45/23.45 % (3658245)Instruction limit reached!
% 161.45/23.45 % (3658245)------------------------------
% 161.45/23.45 % (3658245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.45/23.45 % (3658245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.45/23.45 % (3658245)CaDiCaL version: 2.1.3
% 161.45/23.45 % (3658245)Termination reason: Instruction limit
% 161.45/23.45 % (3658245)Termination phase: Saturation
% 161.45/23.45 % (3658245)Time elapsed: 1.419 s
% 161.45/23.45 % (3658245)Peak memory usage: 103 MB
% 161.45/23.45 % (3658245)Instructions burned: 5114 (million)
% 161.45/23.45 % (3658249)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=520968214:i=3512:aac=none_2945 on theBenchmark for (2945ds/3512Mi)
% 161.45/23.45 % (3658231)Instruction limit reached!
% 161.45/23.45 % (3658231)------------------------------
% 161.45/23.45 % (3658231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.45/23.45 % (3658231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.45/23.45 % (3658231)CaDiCaL version: 2.1.3
% 161.45/23.45 % (3658231)Termination reason: Instruction limit
% 161.45/23.45 % (3658231)Termination phase: Finite model building preprocessing
% 161.45/23.45 % (3658231)Time elapsed: 4.885 s
% 161.45/23.45 % (3658231)Peak memory usage: 76 MB
% 161.45/23.45 % (3658231)Instructions burned: 9516 (million)
% 161.45/23.45 % (3658251)dis+21_1_sil=32000:sas=cadical:random_seed=1643764436:i=3773:amm=off_2941 on theBenchmark for (2941ds/3773Mi)
% 161.45/23.45 % TRYING [1]
% 161.45/23.45 % TRYING [2]
% 161.45/23.45 % (3658249)Instruction limit reached!
% 161.45/23.45 % (3658249)------------------------------
% 161.45/23.45 % (3658249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.45/23.45 % (3658249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.45/23.45 % (3658249)CaDiCaL version: 2.1.3
% 161.45/23.45 % (3658249)Termination reason: Instruction limit
% 161.45/23.45 % (3658249)Termination phase: Saturation
% 74.62/24.67 % (3658249)Time elapsed: 0.928 s
% 74.62/24.67 % (3658249)Peak memory usage: 61 MB
% 74.62/24.67 % (3658249)Instructions burned: 3516 (million)
% 74.62/24.67 % (3658253)ott+11_1_sil=16000:gs=on:random_seed=2777497608:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2936 on theBenchmark for (2936ds/2251Mi)
% 74.62/24.67 % (3658253)Instruction limit reached!
% 74.62/24.67 % (3658253)------------------------------
% 74.62/24.67 % (3658253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.67 % (3658253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.67 % (3658253)CaDiCaL version: 2.1.3
% 74.62/24.67 % (3658253)Termination reason: Instruction limit
% 74.62/24.67 % (3658253)Termination phase: Saturation
% 74.62/24.67 % (3658253)Time elapsed: 0.891 s
% 74.62/24.67 % (3658253)Peak memory usage: 35 MB
% 74.62/24.67 % (3658253)Instructions burned: 2253 (million)
% 74.62/24.67 % (3658255)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3736873118:fmbsr=1.6:i=67534_2927 on theBenchmark for (2927ds/67534Mi)
% 74.62/24.67 % (3658251)Instruction limit reached!
% 74.62/24.67 % (3658251)------------------------------
% 74.62/24.67 % (3658251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.67 % (3658251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.67 % (3658251)CaDiCaL version: 2.1.3
% 74.62/24.67 % (3658251)Termination reason: Instruction limit
% 74.62/24.67 % (3658251)Termination phase: Saturation
% 74.62/24.67 % (3658251)Time elapsed: 1.826 s
% 74.62/24.67 % (3658251)Peak memory usage: 77 MB
% 74.62/24.67 % (3658251)Instructions burned: 3776 (million)
% 74.62/24.67 % (3658257)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1405513551:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2922 on theBenchmark for (2922ds/4591Mi)
% 74.62/24.67 % TRYING [2]
% 74.62/24.67 % (3658257)Instruction limit reached!
% 74.62/24.67 % (3658257)------------------------------
% 74.62/24.67 % (3658257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.67 % (3658257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.67 % (3658257)CaDiCaL version: 2.1.3
% 74.62/24.67 % (3658257)Termination reason: Instruction limit
% 74.62/24.67 % (3658257)Termination phase: Saturation
% 74.62/24.67 % (3658257)Time elapsed: 1.561 s
% 74.62/24.67 % (3658257)Peak memory usage: 27 MB
% 74.62/24.67 % (3658257)Instructions burned: 4591 (million)
% 74.62/24.67 % (3658259)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1313575541:i=29340_2906 on theBenchmark for (2906ds/29340Mi)
% 74.62/24.67 % TRYING [1]
% 74.62/24.67 % TRYING [2]
% 74.62/24.67 % (3658255)Cannot represent all propositional literals internally
% 74.62/24.67 % (3658255)Refutation not found, incomplete strategy
% 74.62/24.67 % (3658255)------------------------------
% 74.62/24.67 % (3658255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.67 % (3658255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.67 % (3658255)CaDiCaL version: 2.1.3
% 74.62/24.67 % (3658255)Termination reason: Refutation not found, incomplete strategy
% 74.62/24.67 % (3658255)Time elapsed: 2.938 s
% 74.62/24.67 % (3658255)Peak memory usage: 79 MB
% 74.62/24.67 % (3658255)Instructions burned: 10942 (million)
% 74.62/24.67 % (3658255)------------------------------
% 74.62/24.67 % (3658255)------------------------------
% 74.62/24.67 % (3658229)Instruction limit reached!
% 74.62/24.67 % (3658229)------------------------------
% 74.62/24.67 % (3658229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.67 % (3658229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.67 % (3658229)CaDiCaL version: 2.1.3
% 74.62/24.67 % (3658229)Termination reason: Instruction limit
% 74.62/24.67 % (3658229)Termination phase: Finite model building constraint generation
% 74.62/24.67 % (3658229)Time elapsed: 9.377 s
% 74.62/24.67 % (3658229)Peak memory usage: 1043 MB
% 74.62/24.67 % (3658229)Instructions burned: 22064 (million)
% 74.62/24.67 % (3658261)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4229668610:i=5211_2897 on theBenchmark for (2897ds/5211Mi)
% 74.62/24.67 % (3658263)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2213645357:i=5497:nm=2_2895 on theBenchmark for (2895ds/5497Mi)
% 74.62/24.67 % (3658261)Instruction limit reached!
% 74.62/24.67 % (3658261)------------------------------
% 74.62/24.67 % (3658261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.67 % (3658261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.67 % (3658261)CaDiCaL version: 2.1.3
% 74.62/24.67 % (3658261)Termination reason: Instruction limit
% 74.62/24.67 % (3658261)Termination phase: Saturation
% 74.62/24.67 % (3658261)Time elapsed: 0.933 s
% 74.62/24.67 % (3658261)Peak memory usage: 42 MB
% 74.62/24.67 % (3658261)Instructions burned: 5212 (million)
% 74.62/24.67 % (3658265)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2543032253:fmbsr=2:i=46332_2887 on theBenchmark for (2887ds/46332Mi)
% 74.62/24.67 % (3658263)Instruction limit reached!
% 74.62/24.67 % (3658263)------------------------------
% 74.62/24.67 % (3658263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.67 % (3658263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.67 % (3658263)CaDiCaL version: 2.1.3
% 74.62/24.67 % (3658263)Termination reason: Instruction limit
% 74.62/24.67 % (3658263)Termination phase: Finite model building preprocessing
% 74.62/24.67 % (3658263)Time elapsed: 2.818 s
% 74.62/24.67 % (3658263)Peak memory usage: 50 MB
% 74.62/24.67 % (3658263)Instructions burned: 5497 (million)
% 74.62/24.67 % (3658267)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1607603779:i=14071_2867 on theBenchmark for (2867ds/14071Mi)
% 74.62/24.68 % (3658265)Cannot represent all propositional literals internally
% 74.62/24.68 % (3658265)Refutation not found, incomplete strategy
% 74.62/24.68 % (3658265)------------------------------
% 74.62/24.68 % (3658265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.68 % (3658265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.68 % (3658265)CaDiCaL version: 2.1.3
% 74.62/24.68 % (3658265)Termination reason: Refutation not found, incomplete strategy
% 74.62/24.68 % (3658265)Time elapsed: 2.932 s
% 74.62/24.68 % (3658265)Peak memory usage: 79 MB
% 74.62/24.68 % (3658265)Instructions burned: 10941 (million)
% 74.62/24.68 % (3658265)------------------------------
% 74.62/24.68 % (3658265)------------------------------
% 74.62/24.68 % (3658269)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3026761903:i=22565:add=on:rawr=on_2858 on theBenchmark for (2858ds/22565Mi)
% 74.62/24.68 % (3658267)Cannot represent all propositional literals internally
% 74.62/24.68 % (3658267)Refutation not found, incomplete strategy
% 74.62/24.68 % (3658267)------------------------------
% 74.62/24.68 % (3658267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.68 % (3658267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.68 % (3658267)CaDiCaL version: 2.1.3
% 74.62/24.68 % (3658267)Termination reason: Refutation not found, incomplete strategy
% 74.62/24.68 % (3658267)Time elapsed: 5.483 s
% 74.62/24.68 % (3658267)Peak memory usage: 85 MB
% 74.62/24.68 % (3658267)Instructions burned: 10771 (million)
% 74.62/24.68 % (3658267)------------------------------
% 74.62/24.68 % (3658267)------------------------------
% 74.62/24.68 % (3658271)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1331991250:i=8173:av=off_2812 on theBenchmark for (2812ds/8173Mi)
% 74.62/24.68 % (3658269)Instruction limit reached!
% 74.62/24.68 % (3658269)------------------------------
% 74.62/24.68 % (3658269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.68 % (3658269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.68 % (3658269)CaDiCaL version: 2.1.3
% 74.62/24.68 % (3658269)Termination reason: Instruction limit
% 74.62/24.68 % (3658269)Termination phase: Saturation
% 74.62/24.68 % (3658269)Time elapsed: 6.138 s
% 74.62/24.68 % (3658269)Peak memory usage: 219 MB
% 74.62/24.68 % (3658269)Instructions burned: 22568 (million)
% 74.62/24.68 % (3658273)dis+10_16:1_sil=16000:random_seed=1600906287:i=9155:fsr=off_2796 on theBenchmark for (2796ds/9155Mi)
% 74.62/24.68 % (3658273)Instruction limit reached!
% 74.62/24.68 % (3658273)------------------------------
% 74.62/24.68 % (3658273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.68 % (3658273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.68 % (3658273)CaDiCaL version: 2.1.3
% 74.62/24.68 % (3658273)Termination reason: Instruction limit
% 74.62/24.68 % (3658273)Termination phase: Saturation
% 74.62/24.68 % (3658273)Time elapsed: 2.584 s
% 74.62/24.68 % (3658273)Peak memory usage: 133 MB
% 74.62/24.68 % (3658273)Instructions burned: 9160 (million)
% 74.62/24.68 % (3658275)ott-3_8_sil=64000:random_seed=3497913203:i=20139:bs=on_2770 on theBenchmark for (2770ds/20139Mi)
% 74.62/24.68 % (3658259)Instruction limit reached!
% 74.62/24.68 % (3658259)------------------------------
% 74.62/24.68 % (3658259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.68 % (3658259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.68 % (3658259)CaDiCaL version: 2.1.3
% 74.62/24.68 % (3658259)Termination reason: Instruction limit
% 74.62/24.68 % (3658259)Termination phase: Saturation
% 74.62/24.68 % (3658259)Time elapsed: 13.682 s
% 74.62/24.68 % (3658259)Peak memory usage: 227 MB
% 74.62/24.68 % (3658259)Instructions burned: 29343 (million)
% 74.62/24.68 % (3658277)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=4031890465:fmbsr=2:i=32576_2769 on theBenchmark for (2769ds/32576Mi)
% 74.62/24.68 % (3658271)Instruction limit reached!
% 74.62/24.68 % (3658271)------------------------------
% 74.62/24.68 % (3658271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.68 % (3658271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.68 % (3658271)CaDiCaL version: 2.1.3
% 74.62/24.68 % (3658271)Termination reason: Instruction limit
% 74.62/24.68 % (3658271)Termination phase: Saturation
% 74.62/24.68 % (3658271)Time elapsed: 4.299 s
% 74.62/24.68 % (3658271)Peak memory usage: 141 MB
% 74.62/24.68 % (3658271)Instructions burned: 8175 (million)
% 74.62/24.68 % (3658279)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1465784270:i=11404_2768 on theBenchmark for (2768ds/11404Mi)
% 74.62/24.68 % (3658275) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3658190-3658275"...
% 74.62/24.68 % (3658275)...printing done.
% 74.62/24.68 % (3658275)Refutation found. Thanks to Tanya!
% 74.62/24.68 % SZS status Theorem for theBenchmark
% 74.62/24.68 % SZS output start Proof for theBenchmark
% See solution above
% 74.62/24.68 % (3658275)------------------------------
% 74.62/24.68 % (3658275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.62/24.68 % (3658275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.62/24.68 % (3658275)CaDiCaL version: 2.1.3
% 74.62/24.68 % (3658275)Termination reason: Refutation
% 74.62/24.68 % (3658275)Time elapsed: 0.892 s
% 74.62/24.68 % (3658275)Peak memory usage: 45 MB
% 74.62/24.68 % (3658275)Instructions burned: 2958 (million)
% 74.62/24.68 % (3658190)Success in time 24.24 s
% 74.62/24.68 % Vampire exiting
%------------------------------------------------------------------------------