TSTP Solution File: SWW553_5 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW553_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n017.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 : Mon Jun 24 18:53:39 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-7 aty)
% Number of functors : 106 ( 106 usr; 16 con; 0-7 aty)
% Number of variables : 59 ( 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
exp: $tType > $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
option: $tType > $tType ).
tff(type_def_10,type,
char: $tType ).
tff(type_def_11,type,
ty: $tType ).
tff(type_def_12,type,
val: $tType ).
tff(type_def_13,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_14,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
start_heap:
!>[X0: $tType] : ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) > fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) ).
tff(func_def_2,type,
fAss:
!>[X0: $tType] : ( ( exp(X0) * list(char) * list(char) * exp(X0) ) > exp(X0) ) ).
tff(func_def_3,type,
val1:
!>[X0: $tType] : ( val > exp(X0) ) ).
tff(func_def_4,type,
fun_upd:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).
tff(func_def_5,type,
map_comp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,option(X1)) * fun(X2,option(X0)) * X2 ) > option(X1) ) ).
tff(func_def_6,type,
typeof_h: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * val ) > option(ty) ).
tff(func_def_7,type,
none:
!>[X0: $tType] : option(X0) ).
tff(func_def_8,type,
some:
!>[X0: $tType] : ( X0 > option(X0) ) ).
tff(func_def_9,type,
option_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).
tff(func_def_10,type,
set:
!>[X0: $tType] : ( option(X0) > fun(X0,bool) ) ).
tff(func_def_11,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).
tff(func_def_12,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_13,type,
default_val: ty > val ).
tff(func_def_14,type,
the_Addr: val > nat ).
tff(func_def_15,type,
addr: nat > val ).
tff(func_def_16,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_17,type,
fFalse: bool ).
tff(func_def_18,type,
fTrue: bool ).
tff(func_def_19,type,
c: list(char) ).
tff(func_def_20,type,
d: list(char) ).
tff(func_def_21,type,
e: fun(list(char),option(ty)) ).
tff(func_def_22,type,
f: list(char) ).
tff(func_def_23,type,
p: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))) ).
tff(func_def_24,type,
tf: ty ).
tff(func_def_25,type,
t: ty ).
tff(func_def_26,type,
tv: ty ).
tff(func_def_27,type,
a: nat ).
tff(func_def_28,type,
fs: fun(product_prod(list(char),list(char)),option(val)) ).
tff(func_def_29,type,
ha: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ).
tff(func_def_30,type,
v: val ).
tff(func_def_31,type,
sK5: ty ).
tff(func_def_32,type,
sK6: ty ).
tff(func_def_33,type,
sK7:
!>[X0: $tType] : ( option(X0) > X0 ) ).
tff(func_def_34,type,
sK8: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > nat ).
tff(func_def_35,type,
sK9: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > list(char) ).
tff(func_def_36,type,
sK10: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > fun(product_prod(list(char),list(char)),option(val)) ).
tff(func_def_37,type,
sK11: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > nat ).
tff(func_def_38,type,
sK12: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > list(char) ).
tff(func_def_39,type,
sK13: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > fun(product_prod(list(char),list(char)),option(val)) ).
tff(func_def_40,type,
sK14: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * nat * list(char) ) > fun(product_prod(list(char),list(char)),option(val)) ).
tff(func_def_41,type,
sK15:
!>[X0: $tType] : ( option(X0) > X0 ) ).
tff(func_def_42,type,
sK16:
!>[X0: $tType] : ( option(X0) > X0 ) ).
tff(func_def_43,type,
sK17:
!>[X0: $tType] : ( ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) ) > nat ) ).
tff(func_def_44,type,
sK18:
!>[X0: $tType] : ( ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) ) > product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))) ) ).
tff(func_def_45,type,
sK19:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_46,type,
sK20:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_47,type,
sK21:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_48,type,
sK22:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_49,type,
sK23:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_50,type,
sK24:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_51,type,
sK25:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_52,type,
sK26:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_53,type,
sK27:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_54,type,
sK28:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_55,type,
sK29:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_56,type,
sK30:
!>[X0: $tType] : ( ( fun(X0,bool) * option(X0) ) > X0 ) ).
tff(func_def_57,type,
sK31:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).
tff(func_def_58,type,
sK32:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X0 ) ).
tff(func_def_59,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_60,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_61,type,
sK35:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_62,type,
sK36: ( list(char) * nat * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > fun(product_prod(list(char),list(char)),option(val)) ).
tff(func_def_63,type,
sK37:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_64,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_65,type,
sK39:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_66,type,
sK40:
!>[X0: $tType] : ( ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(list(char),option(ty)) * fun(list(char),option(val)) ) > list(char) ) ).
tff(func_def_67,type,
sK41:
!>[X0: $tType] : ( ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(list(char),option(ty)) * fun(list(char),option(val)) ) > val ) ).
tff(func_def_68,type,
sK42:
!>[X0: $tType] : ( ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(list(char),option(ty)) * list(char) * val ) > ty ) ).
tff(func_def_69,type,
sK43:
!>[X0: $tType] : ( ( ty * val * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) ) > ty ) ).
tff(func_def_70,type,
sK44:
!>[X0: $tType,X1: $tType] : ( ( X1 * X0 * fun(X0,option(X1)) ) > X0 ) ).
tff(func_def_71,type,
sK45:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_72,type,
sK46:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_73,type,
sK47:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_74,type,
sK48:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_75,type,
sK49:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_76,type,
sK50:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_77,type,
sK51:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_78,type,
sK52:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_79,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
tff(func_def_80,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
tff(func_def_81,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
tff(func_def_82,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
tff(func_def_83,type,
sK57:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
tff(func_def_84,type,
sK58:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X4 ) ).
tff(func_def_85,type,
sK59:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X3 ) ).
tff(func_def_86,type,
sK60:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X2 ) ).
tff(func_def_87,type,
sK61:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X1 ) ).
tff(func_def_88,type,
sK62:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X0 ) ).
tff(func_def_89,type,
sK63:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
tff(func_def_90,type,
sK64:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
tff(func_def_91,type,
sK65:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
tff(func_def_92,type,
sK66:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_93,type,
sK67:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
tff(func_def_94,type,
sK68:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
tff(func_def_95,type,
sK69:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X5 ) ).
tff(func_def_96,type,
sK70:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X4 ) ).
tff(func_def_97,type,
sK71:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X3 ) ).
tff(func_def_98,type,
sK72:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X2 ) ).
tff(func_def_99,type,
sK73:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X1 ) ).
tff(func_def_100,type,
sK74:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X0 ) ).
tff(pred_def_1,type,
conf:
!>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * val * ty ) > $o ) ).
tff(pred_def_2,type,
hconf:
!>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > $o ) ).
tff(pred_def_3,type,
lconf:
!>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(list(char),option(val)) * fun(list(char),option(ty)) ) > $o ) ).
tff(pred_def_4,type,
oconf:
!>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))) ) > $o ) ).
tff(pred_def_5,type,
is_type:
!>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * ty ) > $o ) ).
tff(pred_def_6,type,
preallocated: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) > $o ).
tff(pred_def_7,type,
hext: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > $o ).
tff(pred_def_8,type,
has_field:
!>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * list(char) * list(char) * ty * list(char) ) > $o ) ).
tff(pred_def_9,type,
widen:
!>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * ty * ty ) > $o ) ).
tff(pred_def_10,type,
wTrt: ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(list(char),option(ty)) * exp(list(char)) * ty ) > $o ).
tff(pred_def_11,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(pred_def_13,type,
sP0:
!>[X0: $tType] : ( ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) ) > $o ) ).
tff(pred_def_14,type,
sP1:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > $o ) ).
tff(pred_def_15,type,
sP2:
!>[X0: $tType] : ( ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(list(char),option(ty)) * fun(list(char),option(val)) ) > $o ) ).
tff(pred_def_16,type,
sP3:
!>[X0: $tType,X1: $tType] : ( ( X0 * X0 * X1 * X1 ) > $o ) ).
tff(pred_def_17,type,
sP4:
!>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,option(X0)) * X0 * X1 * X0 ) > $o ) ).
tff(f744,plain,
$false,
inference(resolution,[],[f731,f383]) ).
tff(f383,plain,
~ conf(product_prod(list(list(char)),exp(list(char))),p,ha,v,tf),
inference(cnf_transformation,[],[f106]) ).
tff(f106,plain,
~ conf(product_prod(list(list(char)),exp(list(char))),p,ha,v,tf),
inference(flattening,[],[f105]) ).
tff(f105,negated_conjecture,
~ conf(product_prod(list(list(char)),exp(list(char))),p,ha,v,tf),
inference(negated_conjecture,[],[f104]) ).
tff(f104,conjecture,
conf(product_prod(list(list(char)),exp(list(char))),p,ha,v,tf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f731,plain,
conf(product_prod(list(list(char)),exp(list(char))),p,ha,v,tf),
inference(resolution,[],[f729,f389]) ).
tff(f389,plain,
widen(product_prod(list(list(char)),exp(list(char))),p,tv,tf),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
widen(product_prod(list(list(char)),exp(list(char))),p,tv,tf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f729,plain,
! [X0: $tType,X2: ty,X1: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))))))))] :
( ~ widen(X0,X1,tv,X2)
| conf(X0,X1,ha,v,X2) ),
inference(resolution,[],[f501,f695]) ).
tff(f695,plain,
! [X0: $tType,X1: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))))))))] : conf(X0,X1,ha,v,tv),
inference(equality_resolution,[],[f671]) ).
tff(f671,plain,
! [X2: $tType,X3: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X2)))))))),X0: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X1: val] :
( ( typeof_h(ha,v) != typeof_h(X0,X1) )
| conf(X2,X3,X0,X1,tv) ),
inference(superposition,[],[f469,f386]) ).
tff(f386,plain,
typeof_h(ha,v) = some(ty,tv),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
typeof_h(ha,v) = some(ty,tv),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f469,plain,
! [X0: $tType,X2: ty,X3: val,X1: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),X4: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val)))))] :
( ( some(ty,X2) != typeof_h(X4,X3) )
| conf(X0,X1,X4,X3,X2) ),
inference(cnf_transformation,[],[f235]) ).
tff(f235,plain,
! [X0: $tType,X1: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),X2: ty,X3: val,X4: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val)))))] :
( conf(X0,X1,X4,X3,X2)
| ( some(ty,X2) != typeof_h(X4,X3) ) ),
inference(ennf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: $tType,X1: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),X2: ty,X3: val,X4: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val)))))] :
( ( some(ty,X2) = typeof_h(X4,X3) )
=> conf(X0,X1,X4,X3,X2) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X0: $tType,X11: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),X8: ty,X9: val,X10: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val)))))] :
( ( typeof_h(X10,X9) = some(ty,X8) )
=> conf(X0,X11,X10,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f501,plain,
! [X0: $tType,X2: ty,X3: val,X1: ty,X4: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X5: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))))))))] :
( ~ conf(X0,X5,X4,X3,X2)
| ~ widen(X0,X5,X2,X1)
| conf(X0,X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f256]) ).
tff(f256,plain,
! [X0: $tType,X1: ty,X2: ty,X3: val,X4: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X5: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))))))))] :
( conf(X0,X5,X4,X3,X1)
| ~ widen(X0,X5,X2,X1)
| ~ conf(X0,X5,X4,X3,X2) ),
inference(flattening,[],[f255]) ).
tff(f255,plain,
! [X0: $tType,X1: ty,X2: ty,X3: val,X4: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X5: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))))))))] :
( conf(X0,X5,X4,X3,X1)
| ~ widen(X0,X5,X2,X1)
| ~ conf(X0,X5,X4,X3,X2) ),
inference(ennf_transformation,[],[f179]) ).
tff(f179,plain,
! [X0: $tType,X1: ty,X2: ty,X3: val,X4: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X5: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))))))))] :
( conf(X0,X5,X4,X3,X2)
=> ( widen(X0,X5,X2,X1)
=> conf(X0,X5,X4,X3,X1) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X0: $tType,X7: ty,X8: ty,X9: val,X10: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X11: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))))))))] :
( conf(X0,X11,X10,X9,X8)
=> ( widen(X0,X11,X8,X7)
=> conf(X0,X11,X10,X9,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW553_5 : TPTP v8.2.0. Released v6.0.0.
% 0.00/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 06:41:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.36 This is a TF1_THM_EQU_NAR problem
% 0.19/0.36 Running first-order model finding
% 0.19/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (21877)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.43 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (21873)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.22/0.43 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (21879)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.22/0.43 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (21878)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.22/0.43 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (21875)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.22/0.43 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (21876)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.22/0.43 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (21872)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.22/0.43 % (21877)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.43 % (21879)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.43 % (21876)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.44 % (21876)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.44 % Exception at run slice level
% 0.22/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.44 % Exception at run slice level
% 0.22/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.44 % Exception at run slice level
% 0.22/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.44 % (21878)Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.44 % (21878)------------------------------
% 0.22/0.44 % (21878)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (21878)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (21878)Termination reason: Unknown
% 0.22/0.44 % (21878)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (21878)Memory used [KB]: 1055
% 0.22/0.44 % (21878)Time elapsed: 0.008 s
% 0.22/0.44 % (21878)Instructions burned: 12 (million)
% 0.22/0.44 % (21878)------------------------------
% 0.22/0.44 % (21878)------------------------------
% 0.22/0.44 Version : Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 call stack: 0x416001 0x1cd76a0 0x1cd5fa4 0x41c856 0x4193c6 0xa45fc5 0xa4c1bf 0xa4cf76 0xa4d5a0 0x769598 0x7693f1 0x4f70af 0x7735d4 0x762d9c 0x714d88 0x54d462 0x669b24 0x53ec63 0x53b01e 0x4e7fbe 0x54f63d 0x1ceab70 0x489180 0x41f883
% 0.22/0.44 (use '--traceback on' to get a human-readable stack trace)
% 0.22/0.49 % (21877)Instruction limit reached!
% 0.22/0.49 % (21877)------------------------------
% 0.22/0.49 % (21877)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (21877)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (21877)Termination reason: Time limit
% 0.22/0.49 % (21877)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (21877)Memory used [KB]: 1735
% 0.22/0.49 % (21877)Time elapsed: 0.065 s
% 0.22/0.49 % (21877)Instructions burned: 105 (million)
% 0.22/0.50 % (21879)Instruction limit reached!
% 0.22/0.50 % (21879)------------------------------
% 0.22/0.50 % (21879)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (21879)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (21879)Termination reason: Time limit
% 0.22/0.50 % (21879)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (21879)Memory used [KB]: 2106
% 0.22/0.50 % (21879)Time elapsed: 0.067 s
% 0.22/0.50 % (21879)Instructions burned: 116 (million)
% 0.22/0.50 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (21903)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.22/0.50 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (21904)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2999ds/900Mi)
% 0.22/0.50 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (21902)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.22/0.50 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (21901)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.22/0.50 % (21901)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.51 % (21903)First to succeed.
% 0.22/0.51 % (21903)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21864"
% 0.22/0.51 % (21901)Also succeeded, but the first one will report.
% 0.22/0.51 % (21864)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (21903)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (21903)------------------------------
% 0.22/0.51 % (21903)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51 % (21903)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51 % (21903)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (21903)Memory used [KB]: 1343
% 0.22/0.51 % (21903)Time elapsed: 0.016 s
% 0.22/0.51 % (21903)Instructions burned: 35 (million)
% 0.22/0.51 % (21903)------------------------------
% 0.22/0.51 % (21903)------------------------------
% 0.22/0.51 % (21864)Success in time 0.139 s
%------------------------------------------------------------------------------