TSTP Solution File: SWW571_5 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW571_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n021.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 18:53:42 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 15 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-5 aty)
% Number of functors : 103 ( 103 usr; 19 con; 0-7 aty)
% Number of variables : 58 ( 55 !; 3 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bop: $tType ).
tff(type_def_6,type,
exp: $tType > $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
list: $tType > $tType ).
tff(type_def_9,type,
nat: $tType ).
tff(type_def_10,type,
option: $tType > $tType ).
tff(type_def_11,type,
char: $tType ).
tff(type_def_12,type,
ty: $tType ).
tff(type_def_13,type,
val: $tType ).
tff(type_def_14,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_15,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
binOp:
!>[X0: $tType] : ( ( exp(X0) * bop * exp(X0) ) > exp(X0) ) ).
tff(func_def_1,type,
fAss:
!>[X0: $tType] : ( ( exp(X0) * list(char) * list(char) * exp(X0) ) > exp(X0) ) ).
tff(func_def_2,type,
val1:
!>[X0: $tType] : ( val > exp(X0) ) ).
tff(func_def_3,type,
while:
!>[X0: $tType] : ( ( exp(X0) * exp(X0) ) > exp(X0) ) ).
tff(func_def_4,type,
throw:
!>[X0: $tType] : ( exp(X0) > exp(X0) ) ).
tff(func_def_5,type,
wf_J_mdecl: fun(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(list(char),fun(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char)))))),bool))) ).
tff(func_def_6,type,
map_add:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).
tff(func_def_7,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).
tff(func_def_8,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_9,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_10,type,
red: 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(product_prod(product_prod(exp(list(char)),product_prod(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(list(char),option(val)))),product_prod(exp(list(char)),product_prod(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(list(char),option(val))))),bool) ).
tff(func_def_11,type,
hp: product_prod(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(list(char),option(val))) > fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ).
tff(func_def_12,type,
transitive_rtrancl:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > fun(product_prod(X0,X0),bool) ) ).
tff(func_def_13,type,
nt: ty ).
tff(func_def_14,type,
void: ty ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
d: list(char) ).
tff(func_def_19,type,
e: fun(list(char),option(ty)) ).
tff(func_def_20,type,
f: list(char) ).
tff(func_def_21,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_22,type,
t_2: ty ).
tff(func_def_23,type,
t: ty ).
tff(func_def_24,type,
e_2: exp(list(char)) ).
tff(func_def_25,type,
e_a: exp(list(char)) ).
tff(func_def_26,type,
ea: exp(list(char)) ).
tff(func_def_27,type,
h_a: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ).
tff(func_def_28,type,
ha: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ).
tff(func_def_29,type,
l_a: fun(list(char),option(val)) ).
tff(func_def_30,type,
la: fun(list(char),option(val)) ).
tff(func_def_31,type,
sK0: ty ).
tff(func_def_32,type,
sK1: ( ty * fun(list(char),option(ty)) ) > ty ).
tff(func_def_33,type,
sK2: ( ty * fun(list(char),option(ty)) ) > ty ).
tff(func_def_34,type,
sK3:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_35,type,
sK4:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_36,type,
sK5:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_37,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_38,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_39,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_40,type,
sK9:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_41,type,
sK10:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_42,type,
sK11:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_43,type,
sK12:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_44,type,
sK13:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * X0 * X0 ) > X0 ) ).
tff(func_def_45,type,
sK14:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * X0 * X0 ) > X0 ) ).
tff(func_def_46,type,
sK15:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).
tff(func_def_47,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X0 ) ).
tff(func_def_48,type,
sK17:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_49,type,
sK18:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_50,type,
sK19:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_51,type,
sK20:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_52,type,
sK21:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_53,type,
sK22:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_54,type,
sK23:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_55,type,
sK24:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_56,type,
sK25:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_57,type,
sK26:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_58,type,
sK27:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_59,type,
sK28:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_60,type,
sK29:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_61,type,
sK30:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_62,type,
sK31:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_63,type,
sK32:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_64,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_65,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_66,type,
sK35:
!>[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_67,type,
sK36:
!>[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_68,type,
sK37:
!>[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_69,type,
sK38:
!>[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_70,type,
sK39:
!>[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_71,type,
sK40:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(product_prod(X1,X0),product_prod(X1,X0)),bool) * X0 * X1 * X0 * X1 ) > X1 ) ).
tff(func_def_72,type,
sK41:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(product_prod(X1,X0),product_prod(X1,X0)),bool) * X0 * X1 * X0 * X1 ) > X0 ) ).
tff(func_def_73,type,
sK42:
!>[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_74,type,
sK43:
!>[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_75,type,
sK44:
!>[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_76,type,
sK45:
!>[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_77,type,
sK46:
!>[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_78,type,
sK47:
!>[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_79,type,
sK48:
!>[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_80,type,
sK49:
!>[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_81,type,
sK50:
!>[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_82,type,
sK51:
!>[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_83,type,
sK52:
!>[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_84,type,
sK53:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X0 ) ).
tff(func_def_85,type,
sK54:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X1 ) ).
tff(func_def_86,type,
sK55:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X0 ) ).
tff(func_def_87,type,
sK56:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X1 ) ).
tff(func_def_88,type,
sK57:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X0 ) ).
tff(func_def_89,type,
sK58:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X1 ) ).
tff(func_def_90,type,
sK59:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X0 ) ).
tff(func_def_91,type,
sK60:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) * X1 * X0 ) > X1 ) ).
tff(func_def_92,type,
sK61:
!>[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_93,type,
sK62:
!>[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_94,type,
sK63:
!>[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_95,type,
sK64:
!>[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_96,type,
sK65:
!>[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_97,type,
sK66:
!>[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,
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_2,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_3,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_4,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_5,type,
typeSa976492716_sconf: ( 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(list(char),option(ty)) * product_prod(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(list(char),option(val))) ) > $o ).
tff(pred_def_6,type,
is_refT: ty > $o ).
tff(pred_def_7,type,
wf_prog:
!>[X0: $tType] : ( ( fun(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),fun(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0))),bool))) * 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_8,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_9,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(f602,plain,
$false,
inference(avatar_sat_refutation,[],[f585,f596,f600]) ).
tff(f600,plain,
~ spl67_2,
inference(avatar_contradiction_clause,[],[f598]) ).
tff(f598,plain,
( $false
| ~ spl67_2 ),
inference(resolution,[],[f584,f337]) ).
tff(f337,plain,
wTrt(p,h_a,e,e_2,t_2),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
wTrt(p,h_a,e,e_2,t_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f584,plain,
( ! [X0: ty] : ~ wTrt(p,h_a,e,e_2,X0)
| ~ spl67_2 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f583,plain,
( spl67_2
<=> ! [X0: ty] : ~ wTrt(p,h_a,e,e_2,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl67_2])]) ).
tff(f596,plain,
spl67_1,
inference(avatar_contradiction_clause,[],[f594]) ).
tff(f594,plain,
( $false
| spl67_1 ),
inference(resolution,[],[f581,f336]) ).
tff(f336,plain,
wTrt(p,h_a,e,e_a,nt),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
wTrt(p,h_a,e,e_a,nt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f581,plain,
( ~ wTrt(p,h_a,e,e_a,nt)
| spl67_1 ),
inference(avatar_component_clause,[],[f579]) ).
tff(f579,plain,
( spl67_1
<=> wTrt(p,h_a,e,e_a,nt) ),
introduced(avatar_definition,[new_symbols(naming,[spl67_1])]) ).
tff(f585,plain,
( ~ spl67_1
| spl67_2 ),
inference(avatar_split_clause,[],[f576,f583,f579]) ).
tff(f576,plain,
! [X0: ty] :
( ~ wTrt(p,h_a,e,e_2,X0)
| ~ wTrt(p,h_a,e,e_a,nt) ),
inference(resolution,[],[f441,f564]) ).
tff(f564,plain,
~ wTrt(p,h_a,e,fAss(list(char),e_a,f,d,e_2),void),
inference(resolution,[],[f467,f352]) ).
tff(f352,plain,
! [X0: $tType,X2: 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)))))))),X1: ty] : widen(X0,X2,X1,X1),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: $tType,X1: ty,X2: 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,X2,X1,X1),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X0: $tType,X14: ty,X15: 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,X15,X14,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f467,plain,
! [X0: ty] :
( ~ widen(product_prod(list(list(char)),exp(list(char))),p,X0,void)
| ~ wTrt(p,h_a,e,fAss(list(char),e_a,f,d,e_2),X0) ),
inference(definition_unfolding,[],[f329,f334]) ).
tff(f334,plain,
t = void,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
t = void,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f329,plain,
! [X0: ty] :
( ~ widen(product_prod(list(list(char)),exp(list(char))),p,X0,t)
| ~ wTrt(p,h_a,e,fAss(list(char),e_a,f,d,e_2),X0) ),
inference(cnf_transformation,[],[f194]) ).
tff(f194,plain,
! [X0: ty] :
( ~ widen(product_prod(list(list(char)),exp(list(char))),p,X0,t)
| ~ wTrt(p,h_a,e,fAss(list(char),e_a,f,d,e_2),X0) ),
inference(ennf_transformation,[],[f105]) ).
tff(f105,plain,
~ ? [X0: ty] :
( widen(product_prod(list(list(char)),exp(list(char))),p,X0,t)
& wTrt(p,h_a,e,fAss(list(char),e_a,f,d,e_2),X0) ),
inference(rectify,[],[f104]) ).
tff(f104,negated_conjecture,
~ ? [X111: ty] :
( widen(product_prod(list(list(char)),exp(list(char))),p,X111,t)
& wTrt(p,h_a,e,fAss(list(char),e_a,f,d,e_2),X111) ),
inference(negated_conjecture,[],[f103]) ).
tff(f103,conjecture,
? [X111: ty] :
( widen(product_prod(list(list(char)),exp(list(char))),p,X111,t)
& wTrt(p,h_a,e,fAss(list(char),e_a,f,d,e_2),X111) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f441,plain,
! [X2: ty,X3: exp(list(char)),X0: list(char),X1: list(char),X6: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X7: 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))))))))))),X4: exp(list(char)),X5: fun(list(char),option(ty))] :
( wTrt(X7,X6,X5,fAss(list(char),X4,X1,X0,X3),void)
| ~ wTrt(X7,X6,X5,X3,X2)
| ~ wTrt(X7,X6,X5,X4,nt) ),
inference(cnf_transformation,[],[f243]) ).
tff(f243,plain,
! [X0: list(char),X1: list(char),X2: ty,X3: exp(list(char)),X4: exp(list(char)),X5: fun(list(char),option(ty)),X6: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X7: 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)))))))))))] :
( wTrt(X7,X6,X5,fAss(list(char),X4,X1,X0,X3),void)
| ~ wTrt(X7,X6,X5,X3,X2)
| ~ wTrt(X7,X6,X5,X4,nt) ),
inference(flattening,[],[f242]) ).
tff(f242,plain,
! [X0: list(char),X1: list(char),X2: ty,X3: exp(list(char)),X4: exp(list(char)),X5: fun(list(char),option(ty)),X6: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X7: 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)))))))))))] :
( wTrt(X7,X6,X5,fAss(list(char),X4,X1,X0,X3),void)
| ~ wTrt(X7,X6,X5,X3,X2)
| ~ wTrt(X7,X6,X5,X4,nt) ),
inference(ennf_transformation,[],[f176]) ).
tff(f176,plain,
! [X0: list(char),X1: list(char),X2: ty,X3: exp(list(char)),X4: exp(list(char)),X5: fun(list(char),option(ty)),X6: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X7: 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)))))))))))] :
( wTrt(X7,X6,X5,X4,nt)
=> ( wTrt(X7,X6,X5,X3,X2)
=> wTrt(X7,X6,X5,fAss(list(char),X4,X1,X0,X3),void) ) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X18: list(char),X19: list(char),X20: ty,X21: exp(list(char)),X22: exp(list(char)),X23: fun(list(char),option(ty)),X24: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),X25: 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)))))))))))] :
( wTrt(X25,X24,X23,X22,nt)
=> ( wTrt(X25,X24,X23,X21,X20)
=> wTrt(X25,X24,X23,fAss(list(char),X22,X19,X18,X21),void) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWW571_5 : TPTP v8.2.0. Released v6.0.0.
% 0.10/0.11 % Command : run_vampire %s %d SAT
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 08:40:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 This is a TF1_THM_EQU_NAR problem
% 0.11/0.34 Running first-order model finding
% 0.11/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (24349)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 (3000ds/115Mi)
% 0.20/0.41 % (24349)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.41 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (24343)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.41 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (24347)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.41 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (24346)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 (3000ds/152523Mi)
% 0.20/0.41 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (24348)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 (3000ds/146Mi)
% 0.20/0.41 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (24345)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.41 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (24344)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 (3000ds/99418Mi)
% 0.20/0.41 % (24347)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.41 % (24346)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42 % (24346)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42 % Exception at run slice level
% 0.20/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42 % Exception at run slice level
% 0.20/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42 % Exception at run slice level
% 0.20/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42 % Exception at run slice level
% 0.20/0.42 User error: Immediate (shared) subterms of term/literal produc1605651328_split(hp) have different types/not well-typed!
% 0.20/0.42 % (24349)First to succeed.
% 0.20/0.43 % (24349)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24342"
% 0.20/0.43 % (24342)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (24349)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (24349)------------------------------
% 0.20/0.43 % (24349)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (24349)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (24349)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (24349)Memory used [KB]: 1246
% 0.20/0.43 % (24349)Time elapsed: 0.022 s
% 0.20/0.43 % (24349)Instructions burned: 39 (million)
% 0.20/0.43 % (24349)------------------------------
% 0.20/0.43 % (24349)------------------------------
% 0.20/0.43 % (24342)Success in time 0.075 s
%------------------------------------------------------------------------------