TSTP Solution File: LCL858-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL858-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:51:46 EDT 2024
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 135
% Syntax : Number of formulae : 222 ( 96 unt; 0 def)
% Number of atoms : 399 ( 96 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 304 ( 127 ~; 107 |; 0 &)
% ( 70 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 80 ( 78 usr; 71 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 8 con; 0-5 aty)
% Number of variables : 310 ( 310 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f250,f255,f260,f265,f270,f275,f280,f285,f290,f294,f298,f302,f306,f310,f314,f318,f322,f326,f330,f334,f338,f342,f346,f350,f354,f358,f362,f366,f370,f374,f378,f382,f395,f399,f403,f407,f411,f415,f419,f423,f428,f434,f438,f442,f446,f450,f457,f463,f467,f471,f475,f479,f483,f505,f509,f513,f519,f525,f529,f533,f537,f541,f545,f549,f553,f558,f572,f576,f580,f581]) ).
fof(f581,plain,
( ~ spl0_10
| spl0_9
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f567,f551,f282,f287]) ).
fof(f287,plain,
( spl0_10
<=> hBOOL(hAPP(c_InductTermi_OIT,v_t)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f282,plain,
( spl0_9
<=> hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f551,plain,
( spl0_66
<=> ! [X13] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f567,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,v_t))
| spl0_9
| ~ spl0_66 ),
inference(resolution,[],[f552,f284]) ).
fof(f284,plain,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t))
| spl0_9 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f552,plain,
( ! [X13] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X13))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X13)) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f580,plain,
spl0_70,
inference(avatar_split_clause,[],[f56,f578]) ).
fof(f578,plain,
( spl0_70
<=> ! [X13,X28,X19,X33] : hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19)),X13) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X28),X33,tc_Lambda_OdB,tc_Lambda_OdB) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f56,axiom,
! [X28,X19,X13,X33] : hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19)),X13) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X28),X33,tc_Lambda_OdB,tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Abs__App__neq__Var__apps_0) ).
fof(f576,plain,
spl0_69,
inference(avatar_split_clause,[],[f52,f574]) ).
fof(f574,plain,
( spl0_69
<=> ! [X27,X28] :
( ~ c_List_Olistsp(c_InductTermi_OIT,X27,tc_Lambda_OdB)
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X28),X27,tc_Lambda_OdB,tc_Lambda_OdB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f52,axiom,
! [X28,X27] :
( ~ c_List_Olistsp(c_InductTermi_OIT,X27,tc_Lambda_OdB)
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X28),X27,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT_OVar_0) ).
fof(f572,plain,
spl0_68,
inference(avatar_split_clause,[],[f19,f570]) ).
fof(f570,plain,
( spl0_68
<=> ! [X13,X21,X23,X22,X20] :
( ~ c_Type_Otyping(X22,X13,X21)
| c_Type_Otyping(c_Type_Oshift(X22,X23,X20,tc_Type_Otype),c_Lambda_Olift(X13,X23),X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f19,axiom,
! [X21,X22,X23,X13,X20] :
( ~ c_Type_Otyping(X22,X13,X21)
| c_Type_Otyping(c_Type_Oshift(X22,X23,X20,tc_Type_Otype),c_Lambda_Olift(X13,X23),X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).
fof(f558,plain,
( spl0_67
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f389,f368,f267,f556]) ).
fof(f556,plain,
( spl0_67
<=> ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f267,plain,
( spl0_6
<=> class_Lattices_Olower__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f368,plain,
( spl0_30
<=> ! [X2,X1] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f389,plain,
( ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_bool) = X0
| ~ spl0_6
| ~ spl0_30 ),
inference(resolution,[],[f369,f269]) ).
fof(f269,plain,
( class_Lattices_Olower__semilattice(tc_bool)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f369,plain,
( ! [X2,X1] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2 )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f553,plain,
spl0_66,
inference(avatar_split_clause,[],[f158,f551]) ).
fof(f158,axiom,
! [X13] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
fof(f549,plain,
spl0_65,
inference(avatar_split_clause,[],[f157,f547]) ).
fof(f547,plain,
( spl0_65
<=> ! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f157,axiom,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_termi__implies__IT_0) ).
fof(f545,plain,
spl0_64,
inference(avatar_split_clause,[],[f156,f543]) ).
fof(f543,plain,
( spl0_64
<=> ! [X0,X1] : c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X0,X1),X1,X1) = c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X0,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f156,axiom,
! [X0,X1] : c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X0,X1),X1,X1) = c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X0,X1,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tranclp__converse_0) ).
fof(f541,plain,
spl0_63,
inference(avatar_split_clause,[],[f106,f539]) ).
fof(f539,plain,
( spl0_63
<=> ! [X34,X19,X33] :
( c_Lambda_OdB_OVar(X34) = X19
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OVar(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f106,axiom,
! [X19,X34,X33] :
( c_Lambda_OdB_OVar(X34) = X19
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OVar(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var__eq__apps__conv_0) ).
fof(f537,plain,
spl0_62,
inference(avatar_split_clause,[],[f68,f535]) ).
fof(f535,plain,
( spl0_62
<=> ! [X0,X19,X33] :
( c_Lambda_OdB_OAbs(X0) = X19
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f68,axiom,
! [X0,X19,X33] :
( c_Lambda_OdB_OAbs(X0) = X19
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Abs__eq__apps__conv_0) ).
fof(f533,plain,
spl0_61,
inference(avatar_split_clause,[],[f59,f531]) ).
fof(f531,plain,
( spl0_61
<=> ! [X13,X23] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X13),c_Lambda_OdB_OVar(X23)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f59,axiom,
! [X23,X13] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X13),c_Lambda_OdB_OVar(X23)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_app__Var__IT_0) ).
fof(f529,plain,
spl0_60,
inference(avatar_split_clause,[],[f48,f527]) ).
fof(f527,plain,
( spl0_60
<=> ! [X34,X19,X33] :
( c_List_Olist_ONil(tc_Lambda_OdB) = X33
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OVar(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f48,axiom,
! [X19,X34,X33] :
( c_List_Olist_ONil(tc_Lambda_OdB) = X33
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OVar(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var__eq__apps__conv_1) ).
fof(f525,plain,
spl0_59,
inference(avatar_split_clause,[],[f45,f523]) ).
fof(f523,plain,
( spl0_59
<=> ! [X0,X19,X33] :
( c_List_Olist_ONil(tc_Lambda_OdB) = X33
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f45,axiom,
! [X0,X19,X33] :
( c_List_Olist_ONil(tc_Lambda_OdB) = X33
| c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_apps__eq__Abs__conv_1) ).
fof(f519,plain,
( spl0_58
| ~ spl0_2
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f388,f368,f247,f517]) ).
fof(f517,plain,
( spl0_58
<=> ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f247,plain,
( spl0_2
<=> class_Lattices_Olower__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f388,plain,
( ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_nat) = X0
| ~ spl0_2
| ~ spl0_30 ),
inference(resolution,[],[f369,f249]) ).
fof(f249,plain,
( class_Lattices_Olower__semilattice(tc_nat)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f513,plain,
spl0_57,
inference(avatar_split_clause,[],[f125,f511]) ).
fof(f511,plain,
( spl0_57
<=> ! [X50,X0,X23] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X23),X50))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f125,axiom,
! [X50,X0,X23] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X23),X50))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__Var__IT_0) ).
fof(f509,plain,
spl0_56,
inference(avatar_split_clause,[],[f4,f507]) ).
fof(f507,plain,
( spl0_56
<=> ! [X9,X7,X8,X6,X1] :
( X6 = X8
| c_List_Olist_OCons(X6,X7,X1) != c_List_Olist_OCons(X8,X9,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f4,axiom,
! [X1,X8,X6,X9,X7] :
( X6 = X8
| c_List_Olist_OCons(X6,X7,X1) != c_List_Olist_OCons(X8,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f505,plain,
spl0_55,
inference(avatar_split_clause,[],[f3,f503]) ).
fof(f503,plain,
( spl0_55
<=> ! [X6,X7,X8,X9,X1] :
( X7 = X9
| c_List_Olist_OCons(X6,X7,X1) != c_List_Olist_OCons(X8,X9,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f3,axiom,
! [X1,X8,X6,X9,X7] :
( X7 = X9
| c_List_Olist_OCons(X6,X7,X1) != c_List_Olist_OCons(X8,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
fof(f483,plain,
spl0_54,
inference(avatar_split_clause,[],[f113,f481]) ).
fof(f481,plain,
( spl0_54
<=> ! [X2,X5,X1] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1),X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f113,axiom,
! [X2,X1,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
fof(f479,plain,
spl0_53,
inference(avatar_split_clause,[],[f108,f477]) ).
fof(f477,plain,
( spl0_53
<=> ! [X2,X5,X1] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1),X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f108,axiom,
! [X2,X1,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
fof(f475,plain,
spl0_52,
inference(avatar_split_clause,[],[f71,f473]) ).
fof(f473,plain,
( spl0_52
<=> ! [X2,X5,X1] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f71,axiom,
! [X2,X1,X5] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__commute_0) ).
fof(f471,plain,
spl0_51,
inference(avatar_split_clause,[],[f70,f469]) ).
fof(f469,plain,
( spl0_51
<=> ! [X2,X5,X1] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f70,axiom,
! [X2,X1,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X5,X1) = c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
fof(f467,plain,
spl0_50,
inference(avatar_split_clause,[],[f65,f465]) ).
fof(f465,plain,
( spl0_50
<=> ! [X2,X5,X1] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(X5,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f65,axiom,
! [X2,X1,X5] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(X5,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
fof(f463,plain,
spl0_49,
inference(avatar_split_clause,[],[f64,f461]) ).
fof(f461,plain,
( spl0_49
<=> ! [X2,X5,X1] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(X5,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f64,axiom,
! [X2,X1,X5] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(X5,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
fof(f457,plain,
( ~ spl0_48
| spl0_9
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f429,f417,f282,f454]) ).
fof(f454,plain,
( spl0_48
<=> c_Wellfounded_OwfP(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f417,plain,
( spl0_40
<=> ! [X2,X0,X1] :
( ~ c_Wellfounded_OwfP(X0,X1)
| hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f429,plain,
( ~ c_Wellfounded_OwfP(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
| spl0_9
| ~ spl0_40 ),
inference(resolution,[],[f418,f284]) ).
fof(f418,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
| ~ c_Wellfounded_OwfP(X0,X1) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f450,plain,
spl0_47,
inference(avatar_split_clause,[],[f204,f448]) ).
fof(f448,plain,
( spl0_47
<=> ! [X59,X1,X58] :
( X58 = X59
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X58),X59)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f204,axiom,
! [X58,X59,X1] :
( X58 = X59
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X58),X59)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(f446,plain,
spl0_46,
inference(avatar_split_clause,[],[f98,f444]) ).
fof(f444,plain,
( spl0_46
<=> ! [X13,X23] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X13,X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f98,axiom,
! [X23,X13] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X13,X23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__IT_0) ).
fof(f442,plain,
spl0_45,
inference(avatar_split_clause,[],[f89,f440]) ).
fof(f440,plain,
( spl0_45
<=> ! [X22,X21,X23] :
( ~ c_Type_Otyping(X22,c_Lambda_OdB_OVar(X23),X21)
| hAPP(X22,X23) = X21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f89,axiom,
! [X21,X22,X23] :
( ~ c_Type_Otyping(X22,c_Lambda_OdB_OVar(X23),X21)
| hAPP(X22,X23) = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing__elims_I1_J_0) ).
fof(f438,plain,
spl0_44,
inference(avatar_split_clause,[],[f17,f436]) ).
fof(f436,plain,
( spl0_44
<=> ! [X17,X14,X16,X15] :
( X14 = X16
| c_Type_Otype_OFun(X14,X15) != c_Type_Otype_OFun(X16,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f17,axiom,
! [X16,X14,X17,X15] :
( X14 = X16
| c_Type_Otype_OFun(X14,X15) != c_Type_Otype_OFun(X16,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_type_Osimps_I2_J_0) ).
fof(f434,plain,
spl0_43,
inference(avatar_split_clause,[],[f16,f432]) ).
fof(f432,plain,
( spl0_43
<=> ! [X16,X17,X14,X15] :
( X15 = X17
| c_Type_Otype_OFun(X14,X15) != c_Type_Otype_OFun(X16,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f16,axiom,
! [X16,X14,X17,X15] :
( X15 = X17
| c_Type_Otype_OFun(X14,X15) != c_Type_Otype_OFun(X16,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_type_Osimps_I2_J_1) ).
fof(f428,plain,
( spl0_42
| ~ spl0_5
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f385,f352,f262,f426]) ).
fof(f426,plain,
( spl0_42
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f262,plain,
( spl0_5
<=> class_Lattices_Oupper__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f352,plain,
( spl0_26
<=> ! [X2,X1] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f385,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool) = X0
| ~ spl0_5
| ~ spl0_26 ),
inference(resolution,[],[f353,f264]) ).
fof(f264,plain,
( class_Lattices_Oupper__semilattice(tc_bool)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f353,plain,
( ! [X2,X1] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2 )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f423,plain,
spl0_41,
inference(avatar_split_clause,[],[f149,f421]) ).
fof(f421,plain,
( spl0_41
<=> ! [X12,X0,X1] : c_Predicate_Oconversep(c_Predicate_Oconversep(X0,X1,X12),X12,X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f149,axiom,
! [X0,X1,X12] : c_Predicate_Oconversep(c_Predicate_Oconversep(X0,X1,X12),X12,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conversep__conversep_0) ).
fof(f419,plain,
spl0_40,
inference(avatar_split_clause,[],[f148,f417]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ c_Wellfounded_OwfP(X0,X1)
| hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_accp__wfPD_0) ).
fof(f415,plain,
spl0_39,
inference(avatar_split_clause,[],[f66,f413]) ).
fof(f413,plain,
( spl0_39
<=> ! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f66,axiom,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lambda_0) ).
fof(f411,plain,
spl0_38,
inference(avatar_split_clause,[],[f39,f409]) ).
fof(f409,plain,
( spl0_38
<=> ! [X4,X0,X1] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_ONil(X1)),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f39,axiom,
! [X0,X1,X4] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_ONil(X1)),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Nil__step1_0) ).
fof(f407,plain,
spl0_37,
inference(avatar_split_clause,[],[f38,f405]) ).
fof(f405,plain,
( spl0_37
<=> ! [X4,X0,X1] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X4),c_List_Olist_ONil(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f38,axiom,
! [X0,X1,X4] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X4),c_List_Olist_ONil(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__step1__Nil_0) ).
fof(f403,plain,
spl0_36,
inference(avatar_split_clause,[],[f37,f401]) ).
fof(f401,plain,
( spl0_36
<=> ! [X6,X11,X12,X1] : c_List_Ofoldl(X11,X6,c_List_Olist_ONil(X12),X1,X12) = X6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f37,axiom,
! [X11,X1,X6,X12] : c_List_Ofoldl(X11,X6,c_List_Olist_ONil(X12),X1,X12) = X6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
fof(f399,plain,
( spl0_35
| ~ spl0_1
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f384,f352,f242,f397]) ).
fof(f397,plain,
( spl0_35
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f242,plain,
( spl0_1
<=> class_Lattices_Oupper__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f384,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
| ~ spl0_1
| ~ spl0_26 ),
inference(resolution,[],[f353,f244]) ).
fof(f244,plain,
( class_Lattices_Oupper__semilattice(tc_nat)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f395,plain,
spl0_34,
inference(avatar_split_clause,[],[f36,f393]) ).
fof(f393,plain,
( spl0_34
<=> ! [X22,X2,X21,X1] : hAPP(c_Type_Oshift(X22,X2,X21,X1),X2) = X21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f36,axiom,
! [X2,X21,X1,X22] : hAPP(c_Type_Oshift(X22,X2,X21,X1),X2) = X21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).
fof(f382,plain,
spl0_33,
inference(avatar_split_clause,[],[f152,f380]) ).
fof(f380,plain,
( spl0_33
<=> ! [X1] : c_fequal(X1) = c_Predicate_Oconversep(c_fequal(X1),X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f152,axiom,
! [X1] : c_fequal(X1) = c_Predicate_Oconversep(c_fequal(X1),X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conversep__eq_0) ).
fof(f378,plain,
spl0_32,
inference(avatar_split_clause,[],[f133,f376]) ).
fof(f376,plain,
( spl0_32
<=> ! [X37,X51] :
( X37 = X51
| c_Lambda_OdB_OVar(X37) != c_Lambda_OdB_OVar(X51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f133,axiom,
! [X51,X37] :
( X37 = X51
| c_Lambda_OdB_OVar(X37) != c_Lambda_OdB_OVar(X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I1_J_0) ).
fof(f374,plain,
spl0_31,
inference(avatar_split_clause,[],[f131,f372]) ).
fof(f372,plain,
( spl0_31
<=> ! [X44,X46,X47] : c_Lambda_OdB_OAbs(X44) != hAPP(hAPP(c_Lambda_OdB_OApp,X46),X47) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f131,axiom,
! [X46,X47,X44] : c_Lambda_OdB_OAbs(X44) != hAPP(hAPP(c_Lambda_OdB_OApp,X46),X47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I9_J_0) ).
fof(f370,plain,
spl0_30,
inference(avatar_split_clause,[],[f127,f368]) ).
fof(f127,axiom,
! [X2,X1] :
( ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__idem_0) ).
fof(f366,plain,
spl0_29,
inference(avatar_split_clause,[],[f105,f364]) ).
fof(f364,plain,
( spl0_29
<=> ! [X36,X37,X35] : hAPP(hAPP(c_Lambda_OdB_OApp,X35),X36) != c_Lambda_OdB_OVar(X37) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f105,axiom,
! [X36,X37,X35] : hAPP(hAPP(c_Lambda_OdB_OApp,X35),X36) != c_Lambda_OdB_OVar(X37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I4_J_0) ).
fof(f362,plain,
spl0_28,
inference(avatar_split_clause,[],[f104,f360]) ).
fof(f360,plain,
( spl0_28
<=> ! [X45,X44] :
( X44 = X45
| c_Lambda_OdB_OAbs(X44) != c_Lambda_OdB_OAbs(X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f104,axiom,
! [X44,X45] :
( X44 = X45
| c_Lambda_OdB_OAbs(X44) != c_Lambda_OdB_OAbs(X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I3_J_0) ).
fof(f358,plain,
spl0_27,
inference(avatar_split_clause,[],[f88,f356]) ).
fof(f356,plain,
( spl0_27
<=> ! [X0,X1] :
( ~ c_Wellfounded_OwfP(X0,X1)
| c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f88,axiom,
! [X0,X1] :
( ~ c_Wellfounded_OwfP(X0,X1)
| c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wfP__trancl_0) ).
fof(f354,plain,
spl0_26,
inference(avatar_split_clause,[],[f76,f352]) ).
fof(f76,axiom,
! [X2,X1] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
fof(f350,plain,
spl0_25,
inference(avatar_split_clause,[],[f60,f348]) ).
fof(f348,plain,
( spl0_25
<=> ! [X13,X39,X19] : c_Lambda_Osubst(c_Lambda_Olift(X13,X39),X19,X39) = X13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f60,axiom,
! [X39,X19,X13] : c_Lambda_Osubst(c_Lambda_Olift(X13,X39),X19,X39) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_0) ).
fof(f346,plain,
spl0_24,
inference(avatar_split_clause,[],[f55,f344]) ).
fof(f344,plain,
( spl0_24
<=> ! [X13,X22,X21] :
( ~ c_Type_Otyping(X22,X13,X21)
| hBOOL(hAPP(c_InductTermi_OIT,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f55,axiom,
! [X21,X22,X13] :
( ~ c_Type_Otyping(X22,X13,X21)
| hBOOL(hAPP(c_InductTermi_OIT,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_type__implies__IT_0) ).
fof(f342,plain,
spl0_23,
inference(avatar_split_clause,[],[f203,f340]) ).
fof(f340,plain,
( spl0_23
<=> ! [X2,X1] : hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f203,axiom,
! [X2,X1] : hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f338,plain,
spl0_22,
inference(avatar_split_clause,[],[f150,f336]) ).
fof(f336,plain,
( spl0_22
<=> ! [X13,X23] : ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X23)),X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f150,axiom,
! [X23,X13] : ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X23)),X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_beta__cases_I1_J_0) ).
fof(f334,plain,
spl0_21,
inference(avatar_split_clause,[],[f128,f332]) ).
fof(f332,plain,
( spl0_21
<=> ! [X25,X39] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X39),X25,X39) = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f128,axiom,
! [X39,X25] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X39),X25,X39) = X25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).
fof(f330,plain,
spl0_20,
inference(avatar_split_clause,[],[f69,f328]) ).
fof(f328,plain,
( spl0_20
<=> ! [X2,X18] : c_Type_Otyping(X18,c_Lambda_OdB_OVar(X2),hAPP(X18,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f69,axiom,
! [X2,X18] : c_Type_Otyping(X18,c_Lambda_OdB_OVar(X2),hAPP(X18,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
fof(f326,plain,
spl0_19,
inference(avatar_split_clause,[],[f10,f324]) ).
fof(f324,plain,
( spl0_19
<=> ! [X2,X1,X10] : c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X10,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f10,axiom,
! [X2,X10,X1] : c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X10,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).
fof(f322,plain,
spl0_18,
inference(avatar_split_clause,[],[f194,f320]) ).
fof(f320,plain,
( spl0_18
<=> ! [X57,X56] :
( ~ class_Lattices_Olattice(X57)
| class_Lattices_Olattice(tc_fun(X56,X57)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f194,axiom,
! [X56,X57] :
( ~ class_Lattices_Olattice(X57)
| class_Lattices_Olattice(tc_fun(X56,X57)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
fof(f318,plain,
spl0_17,
inference(avatar_split_clause,[],[f193,f316]) ).
fof(f316,plain,
( spl0_17
<=> ! [X57,X56] :
( ~ class_Lattices_Odistrib__lattice(X57)
| class_Lattices_Odistrib__lattice(tc_fun(X56,X57)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f193,axiom,
! [X56,X57] :
( ~ class_Lattices_Odistrib__lattice(X57)
| class_Lattices_Odistrib__lattice(tc_fun(X56,X57)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
fof(f314,plain,
spl0_16,
inference(avatar_split_clause,[],[f192,f312]) ).
fof(f312,plain,
( spl0_16
<=> ! [X57,X56] :
( ~ class_Lattices_Olattice(X57)
| class_Lattices_Olower__semilattice(tc_fun(X56,X57)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f192,axiom,
! [X56,X57] :
( ~ class_Lattices_Olattice(X57)
| class_Lattices_Olower__semilattice(tc_fun(X56,X57)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
fof(f310,plain,
spl0_15,
inference(avatar_split_clause,[],[f191,f308]) ).
fof(f308,plain,
( spl0_15
<=> ! [X57,X56] :
( ~ class_Lattices_Olattice(X57)
| class_Lattices_Oupper__semilattice(tc_fun(X56,X57)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f191,axiom,
! [X56,X57] :
( ~ class_Lattices_Olattice(X57)
| class_Lattices_Oupper__semilattice(tc_fun(X56,X57)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f306,plain,
spl0_14,
inference(avatar_split_clause,[],[f13,f304]) ).
fof(f304,plain,
( spl0_14
<=> ! [X13,X2,X1] : c_List_Olist_OCons(X2,X13,X1) != X13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f13,axiom,
! [X2,X1,X13] : c_List_Olist_OCons(X2,X13,X1) != X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
fof(f302,plain,
spl0_13,
inference(avatar_split_clause,[],[f135,f300]) ).
fof(f300,plain,
( spl0_13
<=> ! [X37,X44] : c_Lambda_OdB_OVar(X37) != c_Lambda_OdB_OAbs(X44) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f135,axiom,
! [X37,X44] : c_Lambda_OdB_OVar(X37) != c_Lambda_OdB_OAbs(X44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I7_J_0) ).
fof(f298,plain,
spl0_12,
inference(avatar_split_clause,[],[f91,f296]) ).
fof(f296,plain,
( spl0_12
<=> ! [X28] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f91,axiom,
! [X28] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X28))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var__IT_0) ).
fof(f294,plain,
spl0_11,
inference(avatar_split_clause,[],[f40,f292]) ).
fof(f292,plain,
( spl0_11
<=> ! [X1,X31] : c_List_Olistsp(X31,c_List_Olist_ONil(X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f40,axiom,
! [X31,X1] : c_List_Olistsp(X31,c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
fof(f290,plain,
spl0_10,
inference(avatar_split_clause,[],[f189,f287]) ).
fof(f189,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f285,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f190,f282]) ).
fof(f190,axiom,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f280,plain,
spl0_8,
inference(avatar_split_clause,[],[f202,f277]) ).
fof(f277,plain,
( spl0_8
<=> class_Lattices_Olattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f202,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f275,plain,
spl0_7,
inference(avatar_split_clause,[],[f201,f272]) ).
fof(f272,plain,
( spl0_7
<=> class_Lattices_Odistrib__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f201,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
fof(f270,plain,
spl0_6,
inference(avatar_split_clause,[],[f200,f267]) ).
fof(f200,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
fof(f265,plain,
spl0_5,
inference(avatar_split_clause,[],[f199,f262]) ).
fof(f199,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f260,plain,
spl0_4,
inference(avatar_split_clause,[],[f198,f257]) ).
fof(f257,plain,
( spl0_4
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f198,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
fof(f255,plain,
spl0_3,
inference(avatar_split_clause,[],[f197,f252]) ).
fof(f252,plain,
( spl0_3
<=> class_Lattices_Odistrib__lattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f197,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).
fof(f250,plain,
spl0_2,
inference(avatar_split_clause,[],[f196,f247]) ).
fof(f196,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
fof(f245,plain,
spl0_1,
inference(avatar_split_clause,[],[f195,f242]) ).
fof(f195,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL858-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 23:17:14 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (9618)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (9626)WARNING: value z3 for option sas not known
% 0.14/0.40 % (9625)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (9629)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40 % (9630)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.40 % (9624)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (9627)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (9626)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (9628)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.41 % (9628)First to succeed.
% 0.22/0.42 % (9628)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (9628)------------------------------
% 0.22/0.42 % (9628)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42 % (9628)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (9628)Memory used [KB]: 1221
% 0.22/0.42 % (9628)Time elapsed: 0.021 s
% 0.22/0.42 % (9628)Instructions burned: 31 (million)
% 0.22/0.42 % (9628)------------------------------
% 0.22/0.42 % (9628)------------------------------
% 0.22/0.42 % (9618)Success in time 0.047 s
%------------------------------------------------------------------------------