TSTP Solution File: SWW575_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW575_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n006.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 : Fri Sep 1 01:04:01 EDT 2023
% Result : Theorem 4.15s 0.99s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 227
% Syntax : Number of formulae : 620 ( 79 unt; 90 typ; 0 def)
% Number of atoms : 2222 ( 273 equ)
% Maximal formula atoms : 108 ( 4 avg)
% Number of connectives : 2700 (1008 ~;1013 |; 475 &)
% ( 119 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 1487 ( 819 atm; 113 fun; 314 num; 241 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 172 ( 50 >; 122 *; 0 +; 0 <<)
% Number of predicates : 129 ( 125 usr; 115 prp; 0-7 aty)
% Number of functors : 80 ( 73 usr; 38 con; 0-7 aty)
% Number of variables : 318 (; 244 !; 74 ?; 318 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
map_int_int: $tType ).
tff(type_def_10,type,
array_int: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_15,type,
map: ( ty * ty ) > ty ).
tff(func_def_16,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_17,type,
get3: ( map_int_int * $int ) > $int ).
tff(func_def_18,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_19,type,
t2tb: map_int_int > uni ).
tff(func_def_20,type,
tb2t: uni > map_int_int ).
tff(func_def_21,type,
t2tb1: $int > uni ).
tff(func_def_22,type,
tb2t1: uni > $int ).
tff(func_def_23,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_24,type,
array: ty > ty ).
tff(func_def_25,type,
mk_array2: ( ty * $int * uni ) > uni ).
tff(func_def_26,type,
mk_array3: ( $int * map_int_int ) > array_int ).
tff(func_def_27,type,
length1: ( ty * uni ) > $int ).
tff(func_def_28,type,
t2tb2: array_int > uni ).
tff(func_def_29,type,
tb2t2: uni > array_int ).
tff(func_def_30,type,
elts: ( ty * uni ) > uni ).
tff(func_def_31,type,
get4: ( ty * uni * $int ) > uni ).
tff(func_def_32,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(func_def_33,type,
make1: ( ty * $int * uni ) > uni ).
tff(func_def_34,type,
occ1: ( ty * uni * uni * $int * $int ) > $int ).
tff(func_def_40,type,
sK0: $int ).
tff(func_def_41,type,
sK1: map_int_int ).
tff(func_def_42,type,
sK2: $int ).
tff(func_def_43,type,
sK3: $int ).
tff(func_def_44,type,
sK4: $int ).
tff(func_def_45,type,
sK5: $int ).
tff(func_def_46,type,
sK6: $int ).
tff(func_def_47,type,
sK7: map_int_int ).
tff(func_def_48,type,
sK8: map_int_int ).
tff(func_def_49,type,
sK9: $int ).
tff(func_def_50,type,
sK10: $int > $int ).
tff(func_def_51,type,
sK11: ( $int * map_int_int * $int * $int ) > $int ).
tff(func_def_52,type,
sK12: ( $int * map_int_int * $int * $int ) > $int ).
tff(func_def_53,type,
sK13: ( map_int_int * map_int_int * $int * $int ) > $int ).
tff(func_def_54,type,
sK14: ( ty * uni * uni * $int * $int ) > uni ).
tff(func_def_55,type,
sK15: ( ty * uni * uni * $int * $int ) > $int ).
tff(func_def_56,type,
sK16: ( ty * uni * uni * $int * $int ) > $int ).
tff(func_def_57,type,
sK17: ( map_int_int * map_int_int * $int * $int * $int ) > $int ).
tff(func_def_58,type,
sK18: ( map_int_int * map_int_int * $int * $int ) > $int ).
tff(func_def_59,type,
sK19: ( ty * uni * uni * $int * $int ) > $int ).
tff(func_def_60,type,
sK20: ( ty * uni * uni * $int * $int * $int ) > $int ).
tff(func_def_61,type,
sK21: ( ty * uni * uni * $int * $int ) > $int ).
tff(func_def_62,type,
sK22: ( map_int_int * map_int_int * $int * $int * $int * $int ) > $int ).
tff(func_def_63,type,
sK23: ( ty * uni * uni * $int * $int * $int * $int ) > $int ).
tff(func_def_64,type,
sF24: $int ).
tff(func_def_65,type,
sF25: $int ).
tff(func_def_66,type,
sF26: $int ).
tff(func_def_67,type,
sF27: $int ).
tff(func_def_68,type,
sF28: array_int ).
tff(func_def_69,type,
sF29: $int ).
tff(func_def_70,type,
sF30: $int ).
tff(func_def_71,type,
sF31: $int ).
tff(func_def_72,type,
sF32: array_int ).
tff(func_def_73,type,
sF33: $int ).
tff(func_def_74,type,
sF34: array_int ).
tff(func_def_81,type,
'$inst36': $int ).
tff(func_def_82,type,
'$inst37': $int ).
tff(func_def_83,type,
'$inst38': $int ).
tff(func_def_84,type,
'$inst39': $int ).
tff(func_def_85,type,
'$inst40': $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_4,type,
permut2: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_5,type,
map_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_6,type,
array_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_7,type,
array_eq: ( ty * uni * uni ) > $o ).
tff(pred_def_8,type,
exchange2: ( ty * uni * uni * $int * $int * $int * $int ) > $o ).
tff(pred_def_9,type,
exchange3: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_10,type,
permut3: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_11,type,
permut_sub2: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_12,type,
permut_sub3: ( array_int * array_int * $int * $int ) > $o ).
tff(pred_def_13,type,
permut_all: ( ty * uni * uni ) > $o ).
tff(f3412,plain,
$false,
inference(avatar_smt_refutation,[],[f536,f541,f546,f551,f556,f561,f566,f571,f576,f581,f586,f591,f596,f601,f632,f637,f643,f648,f654,f659,f664,f669,f674,f679,f684,f693,f706,f715,f740,f748,f753,f762,f767,f776,f781,f790,f795,f800,f830,f850,f864,f886,f916,f942,f965,f989,f1010,f1039,f1087,f1117,f1148,f1176,f1193,f1274,f1281,f1687,f1810,f1851,f2057,f2194,f2205,f2207,f2425,f2644,f2717,f2726,f2735,f2750,f2766,f2786,f2815,f2826,f2846,f2851,f2856,f2861,f2866,f2909,f2912,f2914,f2916,f2918,f2935,f2948,f2990,f3005,f3020,f3033,f3046,f3103,f3112,f3129,f3178,f3180,f3182,f3184,f3188,f3201,f3221,f3336,f3338,f3340,f3342,f3344,f3346,f3348,f3350,f3352,f3354,f3356,f3359,f3361,f3363,f3365,f3367,f3369,f3371,f3373,f3375,f3377,f3379,f3381,f3383,f3385,f3387,f3389,f3391,f3393,f3395,f3397,f3399,f3401,f3403,f3405,f3407,f3409,f3411]) ).
tff(f3411,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| spl35_112
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3410]) ).
tff(f3410,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| spl35_112
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3174,plain,
( ~ $less(42,sF27)
| $less(sK5,sF26)
| $less(sF26,sK2)
| ~ spl35_30 ),
inference(superposition,[],[f957,f747]) ).
tff(f747,plain,
( ( get3(sK8,sF26) = sF27 )
| ~ spl35_30 ),
inference(avatar_component_clause,[],[f745]) ).
tff(f745,plain,
( spl35_30
<=> ( get3(sK8,sF26) = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_30])]) ).
tff(f957,plain,
! [X2: $int] :
( ~ $less(42,get3(sK8,X2))
| $less(sK5,X2)
| $less(X2,sK2) ),
inference(global_subsumption,[],[f347,f346,f956]) ).
tff(f956,plain,
! [X2: $int] :
( ~ $less(42,get3(sK8,X2))
| $less(sK5,sK10(X2))
| $less(sK10(X2),sK2)
| $less(sK5,X2)
| $less(X2,sK2) ),
inference(superposition,[],[f332,f348]) ).
tff(f348,plain,
! [X11: $int] :
( ( get3(sK8,X11) = get3(sK7,sK10(X11)) )
| $less(sK5,X11)
| $less(X11,sK2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f275,plain,
( ( $less(get3(sK8,sK9),get3(sK8,$sum(sK6,$uminus(1))))
| ! [X10: $int] :
( ( get3(sK8,X10) != get3(sK8,sK9) )
| $less(sK3,X10)
| $less(X10,sK6) ) )
& ~ $less(sK3,sK9)
& ~ $less(sK9,sK6)
& permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(sK3,1))
& $less(sK4,sK6)
& ! [X11: $int] :
( ( ~ $less(get3(sK8,$sum(sK5,1)),get3(sK8,X11))
& ( get3(sK8,X11) = get3(sK7,sK10(X11)) )
& ~ $less(sK5,sK10(X11))
& ~ $less(sK10(X11),sK2) )
| $less(sK5,X11)
| $less(X11,sK2) )
& ! [X13: $int] :
( ( get3(sK7,X13) = get3(sK8,X13) )
| $less(sK3,X13)
| ~ $less(sK5,X13) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK3,1))
& ! [X14: $int] :
( ~ $less(get3(sK8,X14),get3(sK8,sK4))
| $less(sK5,X14)
| $less(X14,sK4) )
& ! [X15: $int] :
( ~ $less(get3(sK8,sK4),get3(sK8,X15))
| $less(sK4,X15)
| $less(X15,sK2) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK5,1))
& ~ $less(sK0,0)
& $less(sK5,sK0)
& ~ $less(sK5,sK4)
& ~ $less(sK4,sK2)
& ~ $less(sK2,0)
& ~ $less(sK5,sK4)
& ! [X16: $int] :
( ~ $less(get3(sK7,X16),42)
| $less(sK3,X16)
| $less(X16,sK6) )
& ! [X17: $int] :
( ( 42 = get3(sK7,X17) )
| ~ $less(X17,sK6)
| ~ $less(sK5,X17) )
& ! [X18: $int] :
( ~ $less(42,get3(sK7,X18))
| $less(sK5,X18)
| $less(X18,sK2) )
& permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(sK3,1))
& ~ $less(sK3,sK6)
& $less(sK5,sK6)
& ~ $less(sK5,sK2)
& ~ $less(sK0,0)
& $less(sK3,sK0)
& $less(sK2,sK3)
& ~ $less(sK2,0)
& $less(sK2,sK3)
& $less(sK3,sK0)
& ~ $less(sK3,sK4)
& ~ $less(sK4,sK2)
& ~ $less(sK2,0)
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f269,f274,f273,f272,f271,f270]) ).
tff(f270,plain,
( ? [X0: $int,X1: map_int_int,X2: $int,X3: $int,X4: $int] :
( ? [X5: $int,X6: $int,X7: map_int_int] :
( ? [X8: map_int_int] :
( ? [X9: $int] :
( ( $less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1))))
| ! [X10: $int] :
( ( get3(X8,X9) != get3(X8,X10) )
| $less(X3,X10)
| $less(X10,X6) ) )
& ~ $less(X3,X9)
& ~ $less(X9,X6) )
& permut_sub3(mk_array3(X0,X8),mk_array3(X0,X8),X2,$sum(X3,1))
& $less(X4,X6)
& ! [X11: $int] :
( ( ~ $less(get3(X8,$sum(X5,1)),get3(X8,X11))
& ? [X12: $int] :
( ( get3(X8,X11) = get3(X7,X12) )
& ~ $less(X5,X12)
& ~ $less(X12,X2) ) )
| $less(X5,X11)
| $less(X11,X2) )
& ! [X13: $int] :
( ( get3(X7,X13) = get3(X8,X13) )
| $less(X3,X13)
| ~ $less(X5,X13) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X3,1))
& ! [X14: $int] :
( ~ $less(get3(X8,X14),get3(X8,X4))
| $less(X5,X14)
| $less(X14,X4) )
& ! [X15: $int] :
( ~ $less(get3(X8,X4),get3(X8,X15))
| $less(X4,X15)
| $less(X15,X2) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X5,1))
& ~ $less(X0,0) )
& $less(X5,X0)
& ~ $less(X5,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X5,X4)
& ! [X16: $int] :
( ~ $less(get3(X7,X16),42)
| $less(X3,X16)
| $less(X16,X6) )
& ! [X17: $int] :
( ( 42 = get3(X7,X17) )
| ~ $less(X17,X6)
| ~ $less(X5,X17) )
& ! [X18: $int] :
( ~ $less(42,get3(X7,X18))
| $less(X5,X18)
| $less(X18,X2) )
& permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1))
& ~ $less(X3,X6)
& $less(X5,X6)
& ~ $less(X5,X2)
& ~ $less(X0,0) )
& $less(X3,X0)
& $less(X2,X3)
& ~ $less(X2,0)
& $less(X2,X3)
& $less(X3,X0)
& ~ $less(X3,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) )
=> ( ? [X7: map_int_int,X6: $int,X5: $int] :
( ? [X8: map_int_int] :
( ? [X9: $int] :
( ( $less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1))))
| ! [X10: $int] :
( ( get3(X8,X9) != get3(X8,X10) )
| $less(sK3,X10)
| $less(X10,X6) ) )
& ~ $less(sK3,X9)
& ~ $less(X9,X6) )
& permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& $less(sK4,X6)
& ! [X11: $int] :
( ( ~ $less(get3(X8,$sum(X5,1)),get3(X8,X11))
& ? [X12: $int] :
( ( get3(X8,X11) = get3(X7,X12) )
& ~ $less(X5,X12)
& ~ $less(X12,sK2) ) )
| $less(X5,X11)
| $less(X11,sK2) )
& ! [X13: $int] :
( ( get3(X7,X13) = get3(X8,X13) )
| $less(sK3,X13)
| ~ $less(X5,X13) )
& permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& ! [X14: $int] :
( ~ $less(get3(X8,X14),get3(X8,sK4))
| $less(X5,X14)
| $less(X14,sK4) )
& ! [X15: $int] :
( ~ $less(get3(X8,sK4),get3(X8,X15))
| $less(sK4,X15)
| $less(X15,sK2) )
& permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(X5,1))
& ~ $less(sK0,0) )
& $less(X5,sK0)
& ~ $less(X5,sK4)
& ~ $less(sK4,sK2)
& ~ $less(sK2,0)
& ~ $less(X5,sK4)
& ! [X16: $int] :
( ~ $less(get3(X7,X16),42)
| $less(sK3,X16)
| $less(X16,X6) )
& ! [X17: $int] :
( ( 42 = get3(X7,X17) )
| ~ $less(X17,X6)
| ~ $less(X5,X17) )
& ! [X18: $int] :
( ~ $less(42,get3(X7,X18))
| $less(X5,X18)
| $less(X18,sK2) )
& permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,X7),sK2,$sum(sK3,1))
& ~ $less(sK3,X6)
& $less(X5,X6)
& ~ $less(X5,sK2)
& ~ $less(sK0,0) )
& $less(sK3,sK0)
& $less(sK2,sK3)
& ~ $less(sK2,0)
& $less(sK2,sK3)
& $less(sK3,sK0)
& ~ $less(sK3,sK4)
& ~ $less(sK4,sK2)
& ~ $less(sK2,0)
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f271,plain,
( ? [X7: map_int_int,X6: $int,X5: $int] :
( ? [X8: map_int_int] :
( ? [X9: $int] :
( ( $less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1))))
| ! [X10: $int] :
( ( get3(X8,X9) != get3(X8,X10) )
| $less(sK3,X10)
| $less(X10,X6) ) )
& ~ $less(sK3,X9)
& ~ $less(X9,X6) )
& permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& $less(sK4,X6)
& ! [X11: $int] :
( ( ~ $less(get3(X8,$sum(X5,1)),get3(X8,X11))
& ? [X12: $int] :
( ( get3(X8,X11) = get3(X7,X12) )
& ~ $less(X5,X12)
& ~ $less(X12,sK2) ) )
| $less(X5,X11)
| $less(X11,sK2) )
& ! [X13: $int] :
( ( get3(X7,X13) = get3(X8,X13) )
| $less(sK3,X13)
| ~ $less(X5,X13) )
& permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& ! [X14: $int] :
( ~ $less(get3(X8,X14),get3(X8,sK4))
| $less(X5,X14)
| $less(X14,sK4) )
& ! [X15: $int] :
( ~ $less(get3(X8,sK4),get3(X8,X15))
| $less(sK4,X15)
| $less(X15,sK2) )
& permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(X5,1))
& ~ $less(sK0,0) )
& $less(X5,sK0)
& ~ $less(X5,sK4)
& ~ $less(sK4,sK2)
& ~ $less(sK2,0)
& ~ $less(X5,sK4)
& ! [X16: $int] :
( ~ $less(get3(X7,X16),42)
| $less(sK3,X16)
| $less(X16,X6) )
& ! [X17: $int] :
( ( 42 = get3(X7,X17) )
| ~ $less(X17,X6)
| ~ $less(X5,X17) )
& ! [X18: $int] :
( ~ $less(42,get3(X7,X18))
| $less(X5,X18)
| $less(X18,sK2) )
& permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,X7),sK2,$sum(sK3,1))
& ~ $less(sK3,X6)
& $less(X5,X6)
& ~ $less(X5,sK2)
& ~ $less(sK0,0) )
=> ( ? [X8: map_int_int] :
( ? [X9: $int] :
( ( $less(get3(X8,X9),get3(X8,$sum(sK6,$uminus(1))))
| ! [X10: $int] :
( ( get3(X8,X9) != get3(X8,X10) )
| $less(sK3,X10)
| $less(X10,sK6) ) )
& ~ $less(sK3,X9)
& ~ $less(X9,sK6) )
& permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& $less(sK4,sK6)
& ! [X11: $int] :
( ( ~ $less(get3(X8,$sum(sK5,1)),get3(X8,X11))
& ? [X12: $int] :
( ( get3(X8,X11) = get3(sK7,X12) )
& ~ $less(sK5,X12)
& ~ $less(X12,sK2) ) )
| $less(sK5,X11)
| $less(X11,sK2) )
& ! [X13: $int] :
( ( get3(X8,X13) = get3(sK7,X13) )
| $less(sK3,X13)
| ~ $less(sK5,X13) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& ! [X14: $int] :
( ~ $less(get3(X8,X14),get3(X8,sK4))
| $less(sK5,X14)
| $less(X14,sK4) )
& ! [X15: $int] :
( ~ $less(get3(X8,sK4),get3(X8,X15))
| $less(sK4,X15)
| $less(X15,sK2) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK5,1))
& ~ $less(sK0,0) )
& $less(sK5,sK0)
& ~ $less(sK5,sK4)
& ~ $less(sK4,sK2)
& ~ $less(sK2,0)
& ~ $less(sK5,sK4)
& ! [X16: $int] :
( ~ $less(get3(sK7,X16),42)
| $less(sK3,X16)
| $less(X16,sK6) )
& ! [X17: $int] :
( ( 42 = get3(sK7,X17) )
| ~ $less(X17,sK6)
| ~ $less(sK5,X17) )
& ! [X18: $int] :
( ~ $less(42,get3(sK7,X18))
| $less(sK5,X18)
| $less(X18,sK2) )
& permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(sK3,1))
& ~ $less(sK3,sK6)
& $less(sK5,sK6)
& ~ $less(sK5,sK2)
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f272,plain,
( ? [X8: map_int_int] :
( ? [X9: $int] :
( ( $less(get3(X8,X9),get3(X8,$sum(sK6,$uminus(1))))
| ! [X10: $int] :
( ( get3(X8,X9) != get3(X8,X10) )
| $less(sK3,X10)
| $less(X10,sK6) ) )
& ~ $less(sK3,X9)
& ~ $less(X9,sK6) )
& permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& $less(sK4,sK6)
& ! [X11: $int] :
( ( ~ $less(get3(X8,$sum(sK5,1)),get3(X8,X11))
& ? [X12: $int] :
( ( get3(X8,X11) = get3(sK7,X12) )
& ~ $less(sK5,X12)
& ~ $less(X12,sK2) ) )
| $less(sK5,X11)
| $less(X11,sK2) )
& ! [X13: $int] :
( ( get3(X8,X13) = get3(sK7,X13) )
| $less(sK3,X13)
| ~ $less(sK5,X13) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK3,1))
& ! [X14: $int] :
( ~ $less(get3(X8,X14),get3(X8,sK4))
| $less(sK5,X14)
| $less(X14,sK4) )
& ! [X15: $int] :
( ~ $less(get3(X8,sK4),get3(X8,X15))
| $less(sK4,X15)
| $less(X15,sK2) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK5,1))
& ~ $less(sK0,0) )
=> ( ? [X9: $int] :
( ( $less(get3(sK8,X9),get3(sK8,$sum(sK6,$uminus(1))))
| ! [X10: $int] :
( ( get3(sK8,X9) != get3(sK8,X10) )
| $less(sK3,X10)
| $less(X10,sK6) ) )
& ~ $less(sK3,X9)
& ~ $less(X9,sK6) )
& permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(sK3,1))
& $less(sK4,sK6)
& ! [X11: $int] :
( ( ~ $less(get3(sK8,$sum(sK5,1)),get3(sK8,X11))
& ? [X12: $int] :
( ( get3(sK7,X12) = get3(sK8,X11) )
& ~ $less(sK5,X12)
& ~ $less(X12,sK2) ) )
| $less(sK5,X11)
| $less(X11,sK2) )
& ! [X13: $int] :
( ( get3(sK7,X13) = get3(sK8,X13) )
| $less(sK3,X13)
| ~ $less(sK5,X13) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK3,1))
& ! [X14: $int] :
( ~ $less(get3(sK8,X14),get3(sK8,sK4))
| $less(sK5,X14)
| $less(X14,sK4) )
& ! [X15: $int] :
( ~ $less(get3(sK8,sK4),get3(sK8,X15))
| $less(sK4,X15)
| $less(X15,sK2) )
& permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK5,1))
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f273,plain,
( ? [X9: $int] :
( ( $less(get3(sK8,X9),get3(sK8,$sum(sK6,$uminus(1))))
| ! [X10: $int] :
( ( get3(sK8,X9) != get3(sK8,X10) )
| $less(sK3,X10)
| $less(X10,sK6) ) )
& ~ $less(sK3,X9)
& ~ $less(X9,sK6) )
=> ( ( $less(get3(sK8,sK9),get3(sK8,$sum(sK6,$uminus(1))))
| ! [X10: $int] :
( ( get3(sK8,X10) != get3(sK8,sK9) )
| $less(sK3,X10)
| $less(X10,sK6) ) )
& ~ $less(sK3,sK9)
& ~ $less(sK9,sK6) ) ),
introduced(choice_axiom,[]) ).
tff(f274,plain,
! [X11: $int] :
( ? [X12: $int] :
( ( get3(sK7,X12) = get3(sK8,X11) )
& ~ $less(sK5,X12)
& ~ $less(X12,sK2) )
=> ( ( get3(sK8,X11) = get3(sK7,sK10(X11)) )
& ~ $less(sK5,sK10(X11))
& ~ $less(sK10(X11),sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f269,plain,
? [X0: $int,X1: map_int_int,X2: $int,X3: $int,X4: $int] :
( ? [X5: $int,X6: $int,X7: map_int_int] :
( ? [X8: map_int_int] :
( ? [X9: $int] :
( ( $less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1))))
| ! [X10: $int] :
( ( get3(X8,X9) != get3(X8,X10) )
| $less(X3,X10)
| $less(X10,X6) ) )
& ~ $less(X3,X9)
& ~ $less(X9,X6) )
& permut_sub3(mk_array3(X0,X8),mk_array3(X0,X8),X2,$sum(X3,1))
& $less(X4,X6)
& ! [X11: $int] :
( ( ~ $less(get3(X8,$sum(X5,1)),get3(X8,X11))
& ? [X12: $int] :
( ( get3(X8,X11) = get3(X7,X12) )
& ~ $less(X5,X12)
& ~ $less(X12,X2) ) )
| $less(X5,X11)
| $less(X11,X2) )
& ! [X13: $int] :
( ( get3(X7,X13) = get3(X8,X13) )
| $less(X3,X13)
| ~ $less(X5,X13) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X3,1))
& ! [X14: $int] :
( ~ $less(get3(X8,X14),get3(X8,X4))
| $less(X5,X14)
| $less(X14,X4) )
& ! [X15: $int] :
( ~ $less(get3(X8,X4),get3(X8,X15))
| $less(X4,X15)
| $less(X15,X2) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X5,1))
& ~ $less(X0,0) )
& $less(X5,X0)
& ~ $less(X5,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X5,X4)
& ! [X16: $int] :
( ~ $less(get3(X7,X16),42)
| $less(X3,X16)
| $less(X16,X6) )
& ! [X17: $int] :
( ( 42 = get3(X7,X17) )
| ~ $less(X17,X6)
| ~ $less(X5,X17) )
& ! [X18: $int] :
( ~ $less(42,get3(X7,X18))
| $less(X5,X18)
| $less(X18,X2) )
& permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1))
& ~ $less(X3,X6)
& $less(X5,X6)
& ~ $less(X5,X2)
& ~ $less(X0,0) )
& $less(X3,X0)
& $less(X2,X3)
& ~ $less(X2,0)
& $less(X2,X3)
& $less(X3,X0)
& ~ $less(X3,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) ),
inference(rectify,[],[f196]) ).
tff(f196,plain,
? [X0: $int,X1: map_int_int,X2: $int,X3: $int,X4: $int] :
( ? [X5: $int,X6: $int,X7: map_int_int] :
( ? [X11: map_int_int] :
( ? [X17: $int] :
( ( $less(get3(X11,X17),get3(X11,$sum(X6,$uminus(1))))
| ! [X18: $int] :
( ( get3(X11,X17) != get3(X11,X18) )
| $less(X3,X18)
| $less(X18,X6) ) )
& ~ $less(X3,X17)
& ~ $less(X17,X6) )
& permut_sub3(mk_array3(X0,X11),mk_array3(X0,X11),X2,$sum(X3,1))
& $less(X4,X6)
& ! [X15: $int] :
( ( ~ $less(get3(X11,$sum(X5,1)),get3(X11,X15))
& ? [X16: $int] :
( ( get3(X11,X15) = get3(X7,X16) )
& ~ $less(X5,X16)
& ~ $less(X16,X2) ) )
| $less(X5,X15)
| $less(X15,X2) )
& ! [X14: $int] :
( ( get3(X7,X14) = get3(X11,X14) )
| $less(X3,X14)
| ~ $less(X5,X14) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X3,1))
& ! [X12: $int] :
( ~ $less(get3(X11,X12),get3(X11,X4))
| $less(X5,X12)
| $less(X12,X4) )
& ! [X13: $int] :
( ~ $less(get3(X11,X4),get3(X11,X13))
| $less(X4,X13)
| $less(X13,X2) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X5,1))
& ~ $less(X0,0) )
& $less(X5,X0)
& ~ $less(X5,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X5,X4)
& ! [X8: $int] :
( ~ $less(get3(X7,X8),42)
| $less(X3,X8)
| $less(X8,X6) )
& ! [X9: $int] :
( ( 42 = get3(X7,X9) )
| ~ $less(X9,X6)
| ~ $less(X5,X9) )
& ! [X10: $int] :
( ~ $less(42,get3(X7,X10))
| $less(X5,X10)
| $less(X10,X2) )
& permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1))
& ~ $less(X3,X6)
& $less(X5,X6)
& ~ $less(X5,X2)
& ~ $less(X0,0) )
& $less(X3,X0)
& $less(X2,X3)
& ~ $less(X2,0)
& $less(X2,X3)
& $less(X3,X0)
& ~ $less(X3,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) ),
inference(flattening,[],[f195]) ).
tff(f195,plain,
? [X0: $int,X1: map_int_int,X2: $int,X3: $int,X4: $int] :
( ? [X5: $int,X6: $int,X7: map_int_int] :
( ? [X11: map_int_int] :
( ? [X17: $int] :
( ( $less(get3(X11,X17),get3(X11,$sum(X6,$uminus(1))))
| ! [X18: $int] :
( ( get3(X11,X17) != get3(X11,X18) )
| $less(X3,X18)
| $less(X18,X6) ) )
& ~ $less(X3,X17)
& ~ $less(X17,X6) )
& permut_sub3(mk_array3(X0,X11),mk_array3(X0,X11),X2,$sum(X3,1))
& $less(X4,X6)
& ! [X15: $int] :
( ( ~ $less(get3(X11,$sum(X5,1)),get3(X11,X15))
& ? [X16: $int] :
( ( get3(X11,X15) = get3(X7,X16) )
& ~ $less(X5,X16)
& ~ $less(X16,X2) ) )
| $less(X5,X15)
| $less(X15,X2) )
& ! [X14: $int] :
( ( get3(X7,X14) = get3(X11,X14) )
| $less(X3,X14)
| ~ $less(X5,X14) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X3,1))
& ! [X12: $int] :
( ~ $less(get3(X11,X12),get3(X11,X4))
| $less(X5,X12)
| $less(X12,X4) )
& ! [X13: $int] :
( ~ $less(get3(X11,X4),get3(X11,X13))
| $less(X4,X13)
| $less(X13,X2) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X5,1))
& ~ $less(X0,0) )
& $less(X5,X0)
& ~ $less(X5,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X5,X4)
& ! [X8: $int] :
( ~ $less(get3(X7,X8),42)
| $less(X3,X8)
| $less(X8,X6) )
& ! [X9: $int] :
( ( 42 = get3(X7,X9) )
| ~ $less(X9,X6)
| ~ $less(X5,X9) )
& ! [X10: $int] :
( ~ $less(42,get3(X7,X10))
| $less(X5,X10)
| $less(X10,X2) )
& permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1))
& ~ $less(X3,X6)
& $less(X5,X6)
& ~ $less(X5,X2)
& ~ $less(X0,0) )
& $less(X3,X0)
& $less(X2,X3)
& ~ $less(X2,0)
& $less(X2,X3)
& $less(X3,X0)
& ~ $less(X3,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f118]) ).
tff(f118,plain,
~ ! [X0: $int,X1: map_int_int,X2: $int,X3: $int,X4: $int] :
( ( $less(X3,X0)
& ~ $less(X3,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) )
=> ( $less(X2,X3)
=> ( ( $less(X3,X0)
& $less(X2,X3)
& ~ $less(X2,0) )
=> ! [X5: $int,X6: $int,X7: map_int_int] :
( ( ! [X8: $int] :
( ( ~ $less(X3,X8)
& ~ $less(X8,X6) )
=> ~ $less(get3(X7,X8),42) )
& ! [X9: $int] :
( ( $less(X9,X6)
& $less(X5,X9) )
=> ( 42 = get3(X7,X9) ) )
& ! [X10: $int] :
( ( ~ $less(X5,X10)
& ~ $less(X10,X2) )
=> ~ $less(42,get3(X7,X10)) )
& permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1))
& ~ $less(X3,X6)
& $less(X5,X6)
& ~ $less(X5,X2)
& ~ $less(X0,0) )
=> ( ~ $less(X5,X4)
=> ( ( $less(X5,X0)
& ~ $less(X5,X4)
& ~ $less(X4,X2)
& ~ $less(X2,0) )
=> ! [X11: map_int_int] :
( ( ! [X12: $int] :
( ( ~ $less(X5,X12)
& ~ $less(X12,X4) )
=> ~ $less(get3(X11,X12),get3(X11,X4)) )
& ! [X13: $int] :
( ( ~ $less(X4,X13)
& ~ $less(X13,X2) )
=> ~ $less(get3(X11,X4),get3(X11,X13)) )
& permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X5,1))
& ~ $less(X0,0) )
=> ( permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X3,1))
=> ( ! [X14: $int] :
( ( ~ $less(X3,X14)
& $less(X5,X14) )
=> ( get3(X7,X14) = get3(X11,X14) ) )
=> ( ! [X15: $int] :
( ( ~ $less(X5,X15)
& ~ $less(X15,X2) )
=> ( ~ $less(get3(X11,$sum(X5,1)),get3(X11,X15))
& ? [X16: $int] :
( ( get3(X11,X15) = get3(X7,X16) )
& ~ $less(X5,X16)
& ~ $less(X16,X2) ) ) )
=> ( $less(X4,X6)
=> ( permut_sub3(mk_array3(X0,X11),mk_array3(X0,X11),X2,$sum(X3,1))
=> ! [X17: $int] :
( ( ~ $less(X3,X17)
& ~ $less(X17,X6) )
=> ( ~ $less(get3(X11,X17),get3(X11,$sum(X6,$uminus(1))))
& ? [X18: $int] :
( ( get3(X11,X17) = get3(X11,X18) )
& ~ $less(X3,X18)
& ~ $less(X18,X6) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f87]) ).
tff(f87,plain,
~ ! [X0: $int,X12: map_int_int,X11: $int,X17: $int,X23: $int] :
( ( $less(X17,X0)
& ~ $less(X17,X23)
& ~ $less(X23,X11)
& ~ $less(X11,0)
& ~ $less(X0,0) )
=> ( $less(X11,X17)
=> ( ( $less(X17,X0)
& $less(X11,X17)
& ~ $less(X11,0) )
=> ! [X10: $int,X9: $int,X13: map_int_int] :
( ( ! [X27: $int] :
( ( ~ $less(X17,X27)
& ~ $less(X27,X9) )
=> ~ $less(get3(X13,X27),42) )
& ! [X27: $int] :
( ( $less(X27,X9)
& $less(X10,X27) )
=> ( get3(X13,X27) = 42 ) )
& ! [X27: $int] :
( ( ~ $less(X10,X27)
& ~ $less(X27,X11) )
=> ~ $less(42,get3(X13,X27)) )
& permut_sub3(mk_array3(X0,X12),mk_array3(X0,X13),X11,$sum(X17,1))
& ~ $less(X17,X9)
& $less(X10,X9)
& ~ $less(X10,X11)
& ~ $less(X0,0) )
=> ( ~ $less(X10,X23)
=> ( ( $less(X10,X0)
& ~ $less(X10,X23)
& ~ $less(X23,X11)
& ~ $less(X11,0) )
=> ! [X22: map_int_int] :
( ( ! [X27: $int] :
( ( ~ $less(X10,X27)
& ~ $less(X27,X23) )
=> ~ $less(get3(X22,X27),get3(X22,X23)) )
& ! [X27: $int] :
( ( ~ $less(X23,X27)
& ~ $less(X27,X11) )
=> ~ $less(get3(X22,X23),get3(X22,X27)) )
& permut_sub3(mk_array3(X0,X13),mk_array3(X0,X22),X11,$sum(X10,1))
& ~ $less(X0,0) )
=> ( permut_sub3(mk_array3(X0,X13),mk_array3(X0,X22),X11,$sum(X17,1))
=> ( ! [X27: $int] :
( ( ~ $less(X17,X27)
& $less(X10,X27) )
=> ( get3(X13,X27) = get3(X22,X27) ) )
=> ( ! [X27: $int] :
( ( ~ $less(X10,X27)
& ~ $less(X27,X11) )
=> ( ~ $less(get3(X22,$sum(X10,1)),get3(X22,X27))
& ? [X28: $int] :
( ( get3(X22,X27) = get3(X13,X28) )
& ~ $less(X10,X28)
& ~ $less(X28,X11) ) ) )
=> ( $less(X23,X9)
=> ( permut_sub3(mk_array3(X0,X22),mk_array3(X0,X22),X11,$sum(X17,1))
=> ! [X27: $int] :
( ( ~ $less(X17,X27)
& ~ $less(X27,X9) )
=> ( ~ $less(get3(X22,X27),get3(X22,$sum(X9,$uminus(1))))
& ? [X28: $int] :
( ( get3(X22,X27) = get3(X22,X28) )
& ~ $less(X17,X28)
& ~ $less(X28,X9) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f86]) ).
tff(f86,negated_conjecture,
~ ! [X0: $int,X12: map_int_int,X11: $int,X17: $int,X23: $int] :
( ( $less(X17,X0)
& $lesseq(X23,X17)
& $lesseq(X11,X23)
& $lesseq(0,X11)
& $lesseq(0,X0) )
=> ( $less(X11,X17)
=> ( ( $less(X17,X0)
& $less(X11,X17)
& $lesseq(0,X11) )
=> ! [X10: $int,X9: $int,X13: map_int_int] :
( ( ! [X27: $int] :
( ( $lesseq(X27,X17)
& $lesseq(X9,X27) )
=> $lesseq(42,get3(X13,X27)) )
& ! [X27: $int] :
( ( $less(X27,X9)
& $less(X10,X27) )
=> ( get3(X13,X27) = 42 ) )
& ! [X27: $int] :
( ( $lesseq(X27,X10)
& $lesseq(X11,X27) )
=> $lesseq(get3(X13,X27),42) )
& permut_sub3(mk_array3(X0,X12),mk_array3(X0,X13),X11,$sum(X17,1))
& $lesseq(X9,X17)
& $less(X10,X9)
& $lesseq(X11,X10)
& $lesseq(0,X0) )
=> ( $lesseq(X23,X10)
=> ( ( $less(X10,X0)
& $lesseq(X23,X10)
& $lesseq(X11,X23)
& $lesseq(0,X11) )
=> ! [X22: map_int_int] :
( ( ! [X27: $int] :
( ( $lesseq(X27,X10)
& $lesseq(X23,X27) )
=> $lesseq(get3(X22,X23),get3(X22,X27)) )
& ! [X27: $int] :
( ( $lesseq(X27,X23)
& $lesseq(X11,X27) )
=> $lesseq(get3(X22,X27),get3(X22,X23)) )
& permut_sub3(mk_array3(X0,X13),mk_array3(X0,X22),X11,$sum(X10,1))
& $lesseq(0,X0) )
=> ( permut_sub3(mk_array3(X0,X13),mk_array3(X0,X22),X11,$sum(X17,1))
=> ( ! [X27: $int] :
( ( $lesseq(X27,X17)
& $less(X10,X27) )
=> ( get3(X13,X27) = get3(X22,X27) ) )
=> ( ! [X27: $int] :
( ( $lesseq(X27,X10)
& $lesseq(X11,X27) )
=> ( $lesseq(get3(X22,X27),get3(X22,$sum(X10,1)))
& ? [X28: $int] :
( ( get3(X22,X27) = get3(X13,X28) )
& $lesseq(X28,X10)
& $lesseq(X11,X28) ) ) )
=> ( ~ $lesseq(X9,X23)
=> ( permut_sub3(mk_array3(X0,X22),mk_array3(X0,X22),X11,$sum(X17,1))
=> ! [X27: $int] :
( ( $lesseq(X27,X17)
& $lesseq(X9,X27) )
=> ( $lesseq(get3(X22,$difference(X9,1)),get3(X22,X27))
& ? [X28: $int] :
( ( get3(X22,X27) = get3(X22,X28) )
& $lesseq(X28,X17)
& $lesseq(X9,X28) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f85]) ).
tff(f85,conjecture,
! [X0: $int,X12: map_int_int,X11: $int,X17: $int,X23: $int] :
( ( $less(X17,X0)
& $lesseq(X23,X17)
& $lesseq(X11,X23)
& $lesseq(0,X11)
& $lesseq(0,X0) )
=> ( $less(X11,X17)
=> ( ( $less(X17,X0)
& $less(X11,X17)
& $lesseq(0,X11) )
=> ! [X10: $int,X9: $int,X13: map_int_int] :
( ( ! [X27: $int] :
( ( $lesseq(X27,X17)
& $lesseq(X9,X27) )
=> $lesseq(42,get3(X13,X27)) )
& ! [X27: $int] :
( ( $less(X27,X9)
& $less(X10,X27) )
=> ( get3(X13,X27) = 42 ) )
& ! [X27: $int] :
( ( $lesseq(X27,X10)
& $lesseq(X11,X27) )
=> $lesseq(get3(X13,X27),42) )
& permut_sub3(mk_array3(X0,X12),mk_array3(X0,X13),X11,$sum(X17,1))
& $lesseq(X9,X17)
& $less(X10,X9)
& $lesseq(X11,X10)
& $lesseq(0,X0) )
=> ( $lesseq(X23,X10)
=> ( ( $less(X10,X0)
& $lesseq(X23,X10)
& $lesseq(X11,X23)
& $lesseq(0,X11) )
=> ! [X22: map_int_int] :
( ( ! [X27: $int] :
( ( $lesseq(X27,X10)
& $lesseq(X23,X27) )
=> $lesseq(get3(X22,X23),get3(X22,X27)) )
& ! [X27: $int] :
( ( $lesseq(X27,X23)
& $lesseq(X11,X27) )
=> $lesseq(get3(X22,X27),get3(X22,X23)) )
& permut_sub3(mk_array3(X0,X13),mk_array3(X0,X22),X11,$sum(X10,1))
& $lesseq(0,X0) )
=> ( permut_sub3(mk_array3(X0,X13),mk_array3(X0,X22),X11,$sum(X17,1))
=> ( ! [X27: $int] :
( ( $lesseq(X27,X17)
& $less(X10,X27) )
=> ( get3(X13,X27) = get3(X22,X27) ) )
=> ( ! [X27: $int] :
( ( $lesseq(X27,X10)
& $lesseq(X11,X27) )
=> ( $lesseq(get3(X22,X27),get3(X22,$sum(X10,1)))
& ? [X28: $int] :
( ( get3(X22,X27) = get3(X13,X28) )
& $lesseq(X28,X10)
& $lesseq(X11,X28) ) ) )
=> ( ~ $lesseq(X9,X23)
=> ( permut_sub3(mk_array3(X0,X22),mk_array3(X0,X22),X11,$sum(X17,1))
=> ! [X27: $int] :
( ( $lesseq(X27,X17)
& $lesseq(X9,X27) )
=> ( $lesseq(get3(X22,$difference(X9,1)),get3(X22,X27))
& ? [X28: $int] :
( ( get3(X22,X27) = get3(X22,X28) )
& $lesseq(X28,X17)
& $lesseq(X9,X28) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893',wP_parameter_find) ).
tff(f332,plain,
! [X18: $int] :
( ~ $less(42,get3(sK7,X18))
| $less(sK5,X18)
| $less(X18,sK2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f346,plain,
! [X11: $int] :
( ~ $less(sK10(X11),sK2)
| $less(sK5,X11)
| $less(X11,sK2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f347,plain,
! [X11: $int] :
( ~ $less(sK5,sK10(X11))
| $less(sK5,X11)
| $less(X11,sK2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f3334,plain,
( $less(42,sF27)
| ~ spl35_114 ),
inference(avatar_component_clause,[],[f3333]) ).
tff(f3333,plain,
( spl35_114
<=> $less(42,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_114])]) ).
tff(f2419,plain,
( ~ $less(sK5,sF26)
| spl35_74 ),
inference(avatar_component_clause,[],[f2418]) ).
tff(f2418,plain,
( spl35_74
<=> $less(sK5,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_74])]) ).
tff(f2415,plain,
( ~ $less(sF26,sK2)
| spl35_73 ),
inference(avatar_component_clause,[],[f2414]) ).
tff(f2414,plain,
( spl35_73
<=> $less(sF26,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_73])]) ).
tff(f3409,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_87
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3408]) ).
tff(f3408,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_87
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3407,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3406]) ).
tff(f3406,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3405,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3404]) ).
tff(f3404,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3403,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3402]) ).
tff(f3402,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3401,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3400]) ).
tff(f3400,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3399,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| spl35_75
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3398]) ).
tff(f3398,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| spl35_75
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3397,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3396]) ).
tff(f3396,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3395,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3394]) ).
tff(f3394,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3393,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3392]) ).
tff(f3392,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3391,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3390]) ).
tff(f3390,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3389,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3388]) ).
tff(f3388,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3387,plain,
( ~ spl35_30
| spl35_47
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3386]) ).
tff(f3386,plain,
( $false
| ~ spl35_30
| spl35_47
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3385,plain,
( ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3384]) ).
tff(f3384,plain,
( $false
| ~ spl35_30
| ~ spl35_34
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3383,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3382]) ).
tff(f3382,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3381,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3380]) ).
tff(f3380,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3334,f3174]) ).
tff(f3379,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3378]) ).
tff(f3378,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3174,f3334]) ).
tff(f3377,plain,
( ~ spl35_30
| spl35_73
| spl35_74
| spl35_88
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3376]) ).
tff(f3376,plain,
( $false
| ~ spl35_30
| spl35_73
| spl35_74
| spl35_88
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3174,f3334]) ).
tff(f3375,plain,
( ~ spl35_30
| spl35_59
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3374]) ).
tff(f3374,plain,
( $false
| ~ spl35_30
| spl35_59
| spl35_73
| spl35_74
| ~ spl35_114 ),
inference(global_subsumption,[],[f2415,f2419,f3174,f3334]) ).
tff(f3373,plain,
( spl35_59
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3372]) ).
tff(f3372,plain,
( $false
| spl35_59
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3191,plain,
( $less(sK5,sF30)
| ~ spl35_110 ),
inference(avatar_component_clause,[],[f3190]) ).
tff(f3190,plain,
( spl35_110
<=> $less(sK5,sF30) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_110])]) ).
tff(f3195,plain,
( ~ $less(sK3,sF30)
| spl35_111 ),
inference(avatar_component_clause,[],[f3194]) ).
tff(f3194,plain,
( spl35_111
<=> $less(sK3,sF30) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_111])]) ).
tff(f3200,plain,
( ( sF27 = get3(sK7,sF30) )
| ~ spl35_112 ),
inference(avatar_component_clause,[],[f3198]) ).
tff(f3198,plain,
( spl35_112
<=> ( sF27 = get3(sK7,sF30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_112])]) ).
tff(f2803,plain,
( ( sF27 != get3(sK7,sF30) )
| $less(sK3,sF30)
| ~ $less(sK5,sF30)
| spl35_88 ),
inference(superposition,[],[f2784,f345]) ).
tff(f345,plain,
! [X13: $int] :
( ( get3(sK7,X13) = get3(sK8,X13) )
| $less(sK3,X13)
| ~ $less(sK5,X13) ),
inference(cnf_transformation,[],[f275]) ).
tff(f2784,plain,
( ( sF27 != get3(sK8,sF30) )
| spl35_88 ),
inference(avatar_component_clause,[],[f2783]) ).
tff(f2783,plain,
( spl35_88
<=> ( sF27 = get3(sK8,sF30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_88])]) ).
tff(f3371,plain,
( spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3370]) ).
tff(f3370,plain,
( $false
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3369,plain,
( spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112
| ~ spl35_114 ),
inference(avatar_contradiction_clause,[],[f3368]) ).
tff(f3368,plain,
( $false
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112
| ~ spl35_114 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3367,plain,
( ~ spl35_30
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3366]) ).
tff(f3366,plain,
( $false
| ~ spl35_30
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3365,plain,
( spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3364]) ).
tff(f3364,plain,
( $false
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3363,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3362]) ).
tff(f3362,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3361,plain,
( spl35_47
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3360]) ).
tff(f3360,plain,
( $false
| spl35_47
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3359,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3358]) ).
tff(f3358,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3356,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3355]) ).
tff(f3355,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3354,plain,
( spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3353]) ).
tff(f3353,plain,
( $false
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3352,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3351]) ).
tff(f3351,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3350,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3349]) ).
tff(f3349,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3348,plain,
( spl35_75
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3347]) ).
tff(f3347,plain,
( $false
| spl35_75
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3346,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3345]) ).
tff(f3345,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3344,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3343]) ).
tff(f3343,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3342,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3341]) ).
tff(f3341,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3340,plain,
( ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
tff(f3339,plain,
( $false
| ~ spl35_34
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3338,plain,
( ~ spl35_87
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(avatar_contradiction_clause,[],[f3337]) ).
tff(f3337,plain,
( $false
| ~ spl35_87
| spl35_88
| ~ spl35_110
| spl35_111
| ~ spl35_112 ),
inference(global_subsumption,[],[f2803,f3200,f3195,f3191]) ).
tff(f3336,plain,
( ~ spl35_114
| ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_88 ),
inference(avatar_split_clause,[],[f3185,f2783,f2418,f2414,f745,f3333]) ).
tff(f3185,plain,
( ~ $less(42,sF27)
| ~ spl35_30
| spl35_73
| spl35_74
| ~ spl35_88 ),
inference(global_subsumption,[],[f2415,f2419,f3174]) ).
tff(f3221,plain,
( ~ spl35_113
| ~ spl35_23 ),
inference(avatar_split_clause,[],[f3117,f671,f3218]) ).
tff(f3218,plain,
( spl35_113
<=> $less(sF30,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_113])]) ).
tff(f671,plain,
( spl35_23
<=> permut_sub3(sF32,sF28,sK2,sF30) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_23])]) ).
tff(f3117,plain,
( ~ $less(sF30,0)
| ~ spl35_23 ),
inference(resolution,[],[f1027,f673]) ).
tff(f673,plain,
( permut_sub3(sF32,sF28,sK2,sF30)
| ~ spl35_23 ),
inference(avatar_component_clause,[],[f671]) ).
tff(f1027,plain,
! [X10: $int,X11: $int,X8: array_int,X9: array_int] :
( ~ permut_sub3(X8,X9,X10,X11)
| ~ $less(X11,0) ),
inference(resolution,[],[f411,f446]) ).
tff(f446,plain,
! [X2: uni,X3: $int,X0: ty,X1: uni,X4: $int] :
( ~ permut3(X0,X1,X2,X3,X4)
| ~ $less(X4,0) ),
inference(cnf_transformation,[],[f297]) ).
tff(f297,plain,
! [X0: ty,X1: uni,X2: uni,X3: $int,X4: $int] :
( ( permut3(X0,X1,X2,X3,X4)
| ~ permut2(X0,elts(X0,X1),elts(X0,X2),X3,X4)
| $less(length1(X0,X1),X4)
| $less(X4,0)
| $less(length1(X0,X1),X3)
| $less(X3,0)
| ( length1(X0,X1) != length1(X0,X2) ) )
& ( ( permut2(X0,elts(X0,X1),elts(X0,X2),X3,X4)
& ~ $less(length1(X0,X1),X4)
& ~ $less(X4,0)
& ~ $less(length1(X0,X1),X3)
& ~ $less(X3,0)
& ( length1(X0,X1) = length1(X0,X2) ) )
| ~ permut3(X0,X1,X2,X3,X4) ) ),
inference(flattening,[],[f296]) ).
tff(f296,plain,
! [X0: ty,X1: uni,X2: uni,X3: $int,X4: $int] :
( ( permut3(X0,X1,X2,X3,X4)
| ~ permut2(X0,elts(X0,X1),elts(X0,X2),X3,X4)
| $less(length1(X0,X1),X4)
| $less(X4,0)
| $less(length1(X0,X1),X3)
| $less(X3,0)
| ( length1(X0,X1) != length1(X0,X2) ) )
& ( ( permut2(X0,elts(X0,X1),elts(X0,X2),X3,X4)
& ~ $less(length1(X0,X1),X4)
& ~ $less(X4,0)
& ~ $less(length1(X0,X1),X3)
& ~ $less(X3,0)
& ( length1(X0,X1) = length1(X0,X2) ) )
| ~ permut3(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: ty,X1: uni,X2: uni,X3: $int,X4: $int] :
( permut3(X0,X1,X2,X3,X4)
<=> ( permut2(X0,elts(X0,X1),elts(X0,X2),X3,X4)
& ~ $less(length1(X0,X1),X4)
& ~ $less(X4,0)
& ~ $less(length1(X0,X1),X3)
& ~ $less(X3,0)
& ( length1(X0,X1) = length1(X0,X2) ) ) ),
inference(rectify,[],[f106]) ).
tff(f106,plain,
! [X0: ty,X12: uni,X13: uni,X18: $int,X6: $int] :
( permut3(X0,X12,X13,X18,X6)
<=> ( permut2(X0,elts(X0,X12),elts(X0,X13),X18,X6)
& ~ $less(length1(X0,X12),X6)
& ~ $less(X6,0)
& ~ $less(length1(X0,X12),X18)
& ~ $less(X18,0)
& ( length1(X0,X12) = length1(X0,X13) ) ) ),
inference(theory_normalization,[],[f76]) ).
tff(f76,axiom,
! [X0: ty,X12: uni,X13: uni,X18: $int,X6: $int] :
( permut3(X0,X12,X13,X18,X6)
<=> ( permut2(X0,elts(X0,X12),elts(X0,X13),X18,X6)
& $lesseq(X6,length1(X0,X12))
& $lesseq(0,X6)
& $lesseq(X18,length1(X0,X12))
& $lesseq(0,X18)
& ( length1(X0,X12) = length1(X0,X13) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893',permut_def1) ).
tff(f411,plain,
! [X2: $int,X3: $int,X0: array_int,X1: array_int] :
( permut3(int,t2tb2(X0),t2tb2(X1),X2,X3)
| ~ permut_sub3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f281]) ).
tff(f281,plain,
! [X0: array_int,X1: array_int,X2: $int,X3: $int] :
( ( permut_sub3(X0,X1,X2,X3)
| ~ map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),X3,length1(int,t2tb2(X0)))
| ~ permut3(int,t2tb2(X0),t2tb2(X1),X2,X3)
| ~ map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),0,X2) )
& ( ( map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),X3,length1(int,t2tb2(X0)))
& permut3(int,t2tb2(X0),t2tb2(X1),X2,X3)
& map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),0,X2) )
| ~ permut_sub3(X0,X1,X2,X3) ) ),
inference(flattening,[],[f280]) ).
tff(f280,plain,
! [X0: array_int,X1: array_int,X2: $int,X3: $int] :
( ( permut_sub3(X0,X1,X2,X3)
| ~ map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),X3,length1(int,t2tb2(X0)))
| ~ permut3(int,t2tb2(X0),t2tb2(X1),X2,X3)
| ~ map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),0,X2) )
& ( ( map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),X3,length1(int,t2tb2(X0)))
& permut3(int,t2tb2(X0),t2tb2(X1),X2,X3)
& map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),0,X2) )
| ~ permut_sub3(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: array_int,X1: array_int,X2: $int,X3: $int] :
( permut_sub3(X0,X1,X2,X3)
<=> ( map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),X3,length1(int,t2tb2(X0)))
& permut3(int,t2tb2(X0),t2tb2(X1),X2,X3)
& map_eq_sub1(int,elts(int,t2tb2(X0)),elts(int,t2tb2(X1)),0,X2) ) ),
inference(rectify,[],[f77]) ).
tff(f77,axiom,
! [X12: array_int,X13: array_int,X18: $int,X6: $int] :
( permut_sub3(X12,X13,X18,X6)
<=> ( map_eq_sub1(int,elts(int,t2tb2(X12)),elts(int,t2tb2(X13)),X6,length1(int,t2tb2(X12)))
& permut3(int,t2tb2(X12),t2tb2(X13),X18,X6)
& map_eq_sub1(int,elts(int,t2tb2(X12)),elts(int,t2tb2(X13)),0,X18) ) ),
file('/export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893',permut_sub_def) ).
tff(f3201,plain,
( ~ spl35_110
| spl35_111
| spl35_112
| ~ spl35_34
| ~ spl35_59 ),
inference(avatar_split_clause,[],[f2922,f1084,f773,f3198,f3194,f3190]) ).
tff(f773,plain,
( spl35_34
<=> ( get3(sK8,sF30) = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_34])]) ).
tff(f1084,plain,
( spl35_59
<=> ( sF27 = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_59])]) ).
tff(f2922,plain,
( ( sF27 = get3(sK7,sF30) )
| $less(sK3,sF30)
| ~ $less(sK5,sF30)
| ~ spl35_34
| ~ spl35_59 ),
inference(backward_demodulation,[],[f924,f1086]) ).
tff(f1086,plain,
( ( sF27 = sF31 )
| ~ spl35_59 ),
inference(avatar_component_clause,[],[f1084]) ).
tff(f924,plain,
( ( sF31 = get3(sK7,sF30) )
| $less(sK3,sF30)
| ~ $less(sK5,sF30)
| ~ spl35_34 ),
inference(superposition,[],[f345,f775]) ).
tff(f775,plain,
( ( get3(sK8,sF30) = sF31 )
| ~ spl35_34 ),
inference(avatar_component_clause,[],[f773]) ).
tff(f3188,plain,
( spl35_81
| ~ spl35_59
| ~ spl35_87 ),
inference(avatar_split_clause,[],[f3187,f2763,f1084,f2732]) ).
tff(f2732,plain,
( spl35_81
<=> $less(sF33,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_81])]) ).
tff(f2763,plain,
( spl35_87
<=> $less(sF33,sF31) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_87])]) ).
tff(f3187,plain,
( $less(sF33,sF27)
| ~ spl35_59
| ~ spl35_87 ),
inference(forward_demodulation,[],[f2764,f1086]) ).
tff(f2764,plain,
( $less(sF33,sF31)
| ~ spl35_87 ),
inference(avatar_component_clause,[],[f2763]) ).
tff(f3184,plain,
( ~ spl35_36
| ~ spl35_46 ),
inference(avatar_contradiction_clause,[],[f3183]) ).
tff(f3183,plain,
( $false
| ~ spl35_36
| ~ spl35_46 ),
inference(global_subsumption,[],[f338,f337,f884,f3172]) ).
tff(f3172,plain,
( ~ $less(42,sF33)
| $less(sK5,sK4)
| $less(sK4,sK2)
| ~ spl35_36 ),
inference(superposition,[],[f957,f789]) ).
tff(f789,plain,
( ( get3(sK8,sK4) = sF33 )
| ~ spl35_36 ),
inference(avatar_component_clause,[],[f787]) ).
tff(f787,plain,
( spl35_36
<=> ( get3(sK8,sK4) = sF33 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_36])]) ).
tff(f884,plain,
( $less(42,sF33)
| ~ spl35_46 ),
inference(avatar_component_clause,[],[f883]) ).
tff(f883,plain,
( spl35_46
<=> $less(42,sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_46])]) ).
tff(f337,plain,
~ $less(sK4,sK2),
inference(cnf_transformation,[],[f275]) ).
tff(f338,plain,
~ $less(sK5,sK4),
inference(cnf_transformation,[],[f275]) ).
tff(f3182,plain,
( ~ spl35_36
| ~ spl35_46
| ~ spl35_88 ),
inference(avatar_contradiction_clause,[],[f3181]) ).
tff(f3181,plain,
( $false
| ~ spl35_36
| ~ spl35_46
| ~ spl35_88 ),
inference(global_subsumption,[],[f338,f337,f884,f3172]) ).
tff(f3180,plain,
( ~ spl35_30
| ~ spl35_36
| ~ spl35_46 ),
inference(avatar_contradiction_clause,[],[f3179]) ).
tff(f3179,plain,
( $false
| ~ spl35_30
| ~ spl35_36
| ~ spl35_46 ),
inference(global_subsumption,[],[f338,f337,f884,f3172]) ).
tff(f3178,plain,
( ~ spl35_36
| ~ spl35_46 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
tff(f3177,plain,
( $false
| ~ spl35_36
| ~ spl35_46 ),
inference(global_subsumption,[],[f338,f337,f884,f3172]) ).
tff(f3129,plain,
( ~ spl35_109
| ~ spl35_20 ),
inference(avatar_split_clause,[],[f3115,f656,f3126]) ).
tff(f3126,plain,
( spl35_109
<=> $less(sF29,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_109])]) ).
tff(f656,plain,
( spl35_20
<=> permut_sub3(sF28,sF28,sK2,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_20])]) ).
tff(f3115,plain,
( ~ $less(sF29,0)
| ~ spl35_20 ),
inference(resolution,[],[f1027,f658]) ).
tff(f658,plain,
( permut_sub3(sF28,sF28,sK2,sF29)
| ~ spl35_20 ),
inference(avatar_component_clause,[],[f656]) ).
tff(f3112,plain,
( spl35_108
| ~ spl35_93 ),
inference(avatar_split_clause,[],[f2889,f2853,f3109]) ).
tff(f3109,plain,
( spl35_108
<=> ( elts(int,t2tb2(sF32)) = t2tb(sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_108])]) ).
tff(f2853,plain,
( spl35_93
<=> ( sK7 = tb2t(elts(int,t2tb2(sF32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_93])]) ).
tff(f2889,plain,
( ( elts(int,t2tb2(sF32)) = t2tb(sK7) )
| ~ spl35_93 ),
inference(superposition,[],[f362,f2855]) ).
tff(f2855,plain,
( ( sK7 = tb2t(elts(int,t2tb2(sF32))) )
| ~ spl35_93 ),
inference(avatar_component_clause,[],[f2853]) ).
tff(f362,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
! [X10: uni] : ( t2tb(tb2t(X10)) = X10 ),
file('/export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893',bridgeR) ).
tff(f3103,plain,
( spl35_107
| ~ spl35_91 ),
inference(avatar_split_clause,[],[f2870,f2843,f3100]) ).
tff(f3100,plain,
( spl35_107
<=> ( elts(int,t2tb2(sF28)) = t2tb(sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_107])]) ).
tff(f2843,plain,
( spl35_91
<=> ( sK8 = tb2t(elts(int,t2tb2(sF28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_91])]) ).
tff(f2870,plain,
( ( elts(int,t2tb2(sF28)) = t2tb(sK8) )
| ~ spl35_91 ),
inference(superposition,[],[f362,f2845]) ).
tff(f2845,plain,
( ( sK8 = tb2t(elts(int,t2tb2(sF28))) )
| ~ spl35_91 ),
inference(avatar_component_clause,[],[f2843]) ).
tff(f3046,plain,
( spl35_105
| ~ spl35_106
| ~ spl35_18
| ~ spl35_30 ),
inference(avatar_split_clause,[],[f816,f745,f645,f3043,f3039]) ).
tff(f3039,plain,
( spl35_105
<=> ( sF27 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_105])]) ).
tff(f3043,plain,
( spl35_106
<=> ( get3(sK8,sF26) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_106])]) ).
tff(f645,plain,
( spl35_18
<=> ( sF25 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_18])]) ).
tff(f816,plain,
( ( get3(sK8,sF26) != -1 )
| ( sF27 = -1 )
| ~ spl35_18
| ~ spl35_30 ),
inference(forward_demodulation,[],[f811,f647]) ).
tff(f647,plain,
( ( sF25 = -1 )
| ~ spl35_18 ),
inference(avatar_component_clause,[],[f645]) ).
tff(f811,plain,
( ( sF27 = -1 )
| ( sF25 != get3(sK8,sF26) )
| ~ spl35_18
| ~ spl35_30 ),
inference(constrained_superposition,[],[f747,f647]) ).
tff(f3033,plain,
( spl35_103
| ~ spl35_104
| ~ spl35_18
| ~ spl35_30 ),
inference(avatar_split_clause,[],[f815,f745,f645,f3030,f3026]) ).
tff(f3026,plain,
( spl35_103
<=> ( sF27 = get3(sK8,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_103])]) ).
tff(f3030,plain,
( spl35_104
<=> ( sF26 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_104])]) ).
tff(f815,plain,
( ( sF26 != -1 )
| ( sF27 = get3(sK8,-1) )
| ~ spl35_18
| ~ spl35_30 ),
inference(forward_demodulation,[],[f809,f647]) ).
tff(f809,plain,
( ( sF27 = get3(sK8,-1) )
| ( sF25 != sF26 )
| ~ spl35_18
| ~ spl35_30 ),
inference(constrained_superposition,[],[f747,f647]) ).
tff(f3020,plain,
( spl35_101
| ~ spl35_102
| ~ spl35_29
| ~ spl35_30 ),
inference(avatar_split_clause,[],[f814,f745,f737,f3017,f3013]) ).
tff(f3013,plain,
( spl35_101
<=> ( sF27 = get3(sK8,sF24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_101])]) ).
tff(f3017,plain,
( spl35_102
<=> ( sF24 = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_102])]) ).
tff(f737,plain,
( spl35_29
<=> ( get3(sK8,sK9) = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_29])]) ).
tff(f814,plain,
( ( sF24 != sF26 )
| ( sF27 = get3(sK8,sF24) )
| ~ spl35_29
| ~ spl35_30 ),
inference(forward_demodulation,[],[f807,f739]) ).
tff(f739,plain,
( ( get3(sK8,sK9) = sF24 )
| ~ spl35_29 ),
inference(avatar_component_clause,[],[f737]) ).
tff(f807,plain,
( ( sF27 = get3(sK8,sF24) )
| ( get3(sK8,sK9) != sF26 )
| ~ spl35_29
| ~ spl35_30 ),
inference(constrained_superposition,[],[f747,f739]) ).
tff(f3005,plain,
( spl35_99
| ~ spl35_100
| ~ spl35_18
| ~ spl35_29 ),
inference(avatar_split_clause,[],[f806,f737,f645,f3002,f2998]) ).
tff(f2998,plain,
( spl35_99
<=> ( sF24 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_99])]) ).
tff(f3002,plain,
( spl35_100
<=> ( get3(sK8,sK9) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_100])]) ).
tff(f806,plain,
( ( get3(sK8,sK9) != -1 )
| ( sF24 = -1 )
| ~ spl35_18
| ~ spl35_29 ),
inference(forward_demodulation,[],[f804,f647]) ).
tff(f804,plain,
( ( sF24 = -1 )
| ( get3(sK8,sK9) != sF25 )
| ~ spl35_18
| ~ spl35_29 ),
inference(constrained_superposition,[],[f739,f647]) ).
tff(f2990,plain,
( spl35_97
| ~ spl35_98
| ~ spl35_18
| ~ spl35_29 ),
inference(avatar_split_clause,[],[f805,f737,f645,f2987,f2983]) ).
tff(f2983,plain,
( spl35_97
<=> ( sF24 = get3(sK8,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_97])]) ).
tff(f2987,plain,
( spl35_98
<=> ( sK9 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_98])]) ).
tff(f805,plain,
( ( sK9 != -1 )
| ( sF24 = get3(sK8,-1) )
| ~ spl35_18
| ~ spl35_29 ),
inference(forward_demodulation,[],[f802,f647]) ).
tff(f802,plain,
( ( sF24 = get3(sK8,-1) )
| ( sK9 != sF25 )
| ~ spl35_18
| ~ spl35_29 ),
inference(constrained_superposition,[],[f739,f647]) ).
tff(f2948,plain,
( ~ spl35_79
| spl35_47
| ~ spl35_59 ),
inference(avatar_split_clause,[],[f2921,f1084,f913,f2723]) ).
tff(f2723,plain,
( spl35_79
<=> $less(sF27,sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_79])]) ).
tff(f913,plain,
( spl35_47
<=> $less(sF31,sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_47])]) ).
tff(f2921,plain,
( ~ $less(sF27,sF33)
| spl35_47
| ~ spl35_59 ),
inference(backward_demodulation,[],[f915,f1086]) ).
tff(f915,plain,
( ~ $less(sF31,sF33)
| spl35_47 ),
inference(avatar_component_clause,[],[f913]) ).
tff(f2935,plain,
( spl35_88
| ~ spl35_34
| ~ spl35_59 ),
inference(avatar_split_clause,[],[f2920,f1084,f773,f2783]) ).
tff(f2920,plain,
( ( sF27 = get3(sK8,sF30) )
| ~ spl35_34
| ~ spl35_59 ),
inference(backward_demodulation,[],[f775,f1086]) ).
tff(f2918,plain,
( ~ spl35_30
| ~ spl35_59
| ~ spl35_74
| spl35_89
| spl35_90 ),
inference(avatar_contradiction_clause,[],[f2917]) ).
tff(f2917,plain,
( $false
| ~ spl35_30
| ~ spl35_59
| ~ spl35_74
| spl35_89
| spl35_90 ),
inference(global_subsumption,[],[f2910,f2824]) ).
tff(f2824,plain,
( ( sF27 != get3(sK7,sF26) )
| spl35_90 ),
inference(avatar_component_clause,[],[f2823]) ).
tff(f2823,plain,
( spl35_90
<=> ( sF27 = get3(sK7,sF26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_90])]) ).
tff(f2910,plain,
( ( sF27 = get3(sK7,sF26) )
| ~ spl35_30
| ~ spl35_74
| spl35_89 ),
inference(global_subsumption,[],[f2420,f2820,f923]) ).
tff(f923,plain,
( ( sF27 = get3(sK7,sF26) )
| $less(sK3,sF26)
| ~ $less(sK5,sF26)
| ~ spl35_30 ),
inference(superposition,[],[f345,f747]) ).
tff(f2820,plain,
( ~ $less(sK3,sF26)
| spl35_89 ),
inference(avatar_component_clause,[],[f2819]) ).
tff(f2819,plain,
( spl35_89
<=> $less(sK3,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_89])]) ).
tff(f2420,plain,
( $less(sK5,sF26)
| ~ spl35_74 ),
inference(avatar_component_clause,[],[f2418]) ).
tff(f2916,plain,
( ~ spl35_30
| ~ spl35_74
| spl35_79
| spl35_89
| spl35_90 ),
inference(avatar_contradiction_clause,[],[f2915]) ).
tff(f2915,plain,
( $false
| ~ spl35_30
| ~ spl35_74
| spl35_79
| spl35_89
| spl35_90 ),
inference(global_subsumption,[],[f2910,f2824]) ).
tff(f2914,plain,
( ~ spl35_30
| ~ spl35_74
| ~ spl35_88
| spl35_89
| spl35_90 ),
inference(avatar_contradiction_clause,[],[f2913]) ).
tff(f2913,plain,
( $false
| ~ spl35_30
| ~ spl35_74
| ~ spl35_88
| spl35_89
| spl35_90 ),
inference(global_subsumption,[],[f2910,f2824]) ).
tff(f2912,plain,
( ~ spl35_30
| ~ spl35_74
| spl35_89
| spl35_90 ),
inference(avatar_contradiction_clause,[],[f2911]) ).
tff(f2911,plain,
( $false
| ~ spl35_30
| ~ spl35_74
| spl35_89
| spl35_90 ),
inference(global_subsumption,[],[f2910,f2824]) ).
tff(f2909,plain,
( ~ spl35_96
| spl35_72
| ~ spl35_74
| ~ spl35_90 ),
inference(avatar_split_clause,[],[f2840,f2823,f2418,f2191,f2906]) ).
tff(f2906,plain,
( spl35_96
<=> $less(sF26,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_96])]) ).
tff(f2191,plain,
( spl35_72
<=> ( 42 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_72])]) ).
tff(f2840,plain,
( ~ $less(sF26,sK6)
| spl35_72
| ~ spl35_74
| ~ spl35_90 ),
inference(global_subsumption,[],[f2193,f2420,f2828]) ).
tff(f2828,plain,
( ( 42 = sF27 )
| ~ $less(sF26,sK6)
| ~ $less(sK5,sF26)
| ~ spl35_90 ),
inference(superposition,[],[f2825,f333]) ).
tff(f333,plain,
! [X17: $int] :
( ( 42 = get3(sK7,X17) )
| ~ $less(X17,sK6)
| ~ $less(sK5,X17) ),
inference(cnf_transformation,[],[f275]) ).
tff(f2825,plain,
( ( sF27 = get3(sK7,sF26) )
| ~ spl35_90 ),
inference(avatar_component_clause,[],[f2823]) ).
tff(f2193,plain,
( ( 42 != sF27 )
| spl35_72 ),
inference(avatar_component_clause,[],[f2191]) ).
tff(f2866,plain,
( ~ spl35_95
| spl35_8
| ~ spl35_86 ),
inference(avatar_split_clause,[],[f2814,f2759,f568,f2863]) ).
tff(f2863,plain,
( spl35_95
<=> ( sK2 = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_95])]) ).
tff(f568,plain,
( spl35_8
<=> $less(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_8])]) ).
tff(f2759,plain,
( spl35_86
<=> $less(sK4,sF30) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_86])]) ).
tff(f2814,plain,
( ( sK2 != sF30 )
| spl35_8
| ~ spl35_86 ),
inference(constrained_resolution,[],[f2761,f570]) ).
tff(f570,plain,
( ~ $less(sK4,sK2)
| spl35_8 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f2761,plain,
( $less(sK4,sF30)
| ~ spl35_86 ),
inference(avatar_component_clause,[],[f2759]) ).
tff(f2861,plain,
( spl35_94
| ~ spl35_37 ),
inference(avatar_split_clause,[],[f908,f792,f2858]) ).
tff(f2858,plain,
( spl35_94
<=> ( sK1 = tb2t(elts(int,t2tb2(sF34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_94])]) ).
tff(f792,plain,
( spl35_37
<=> ( mk_array3(sK0,sK1) = sF34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_37])]) ).
tff(f908,plain,
( ( sK1 = tb2t(elts(int,t2tb2(sF34))) )
| ~ spl35_37 ),
inference(superposition,[],[f373,f794]) ).
tff(f794,plain,
( ( mk_array3(sK0,sK1) = sF34 )
| ~ spl35_37 ),
inference(avatar_component_clause,[],[f792]) ).
tff(f373,plain,
! [X0: $int,X1: map_int_int] : ( tb2t(elts(int,t2tb2(mk_array3(X0,X1)))) = X1 ),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: $int,X1: map_int_int] : ( tb2t(elts(int,t2tb2(mk_array3(X0,X1)))) = X1 ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X6: $int,X15: map_int_int] : ( tb2t(elts(int,t2tb2(mk_array3(X6,X15)))) = X15 ),
file('/export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893',elts_def2) ).
tff(f2856,plain,
( spl35_93
| ~ spl35_35 ),
inference(avatar_split_clause,[],[f907,f778,f2853]) ).
tff(f778,plain,
( spl35_35
<=> ( mk_array3(sK0,sK7) = sF32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_35])]) ).
tff(f907,plain,
( ( sK7 = tb2t(elts(int,t2tb2(sF32))) )
| ~ spl35_35 ),
inference(superposition,[],[f373,f780]) ).
tff(f780,plain,
( ( mk_array3(sK0,sK7) = sF32 )
| ~ spl35_35 ),
inference(avatar_component_clause,[],[f778]) ).
tff(f2851,plain,
( ~ spl35_92
| spl35_8
| ~ spl35_80 ),
inference(avatar_split_clause,[],[f2813,f2728,f568,f2848]) ).
tff(f2848,plain,
( spl35_92
<=> ( sK2 = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_92])]) ).
tff(f2728,plain,
( spl35_80
<=> $less(sK4,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_80])]) ).
tff(f2813,plain,
( ( sK2 != sF26 )
| spl35_8
| ~ spl35_80 ),
inference(constrained_resolution,[],[f2730,f570]) ).
tff(f2730,plain,
( $less(sK4,sF26)
| ~ spl35_80 ),
inference(avatar_component_clause,[],[f2728]) ).
tff(f2846,plain,
( spl35_91
| ~ spl35_31 ),
inference(avatar_split_clause,[],[f906,f750,f2843]) ).
tff(f750,plain,
( spl35_31
<=> ( mk_array3(sK0,sK8) = sF28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_31])]) ).
tff(f906,plain,
( ( sK8 = tb2t(elts(int,t2tb2(sF28))) )
| ~ spl35_31 ),
inference(superposition,[],[f373,f752]) ).
tff(f752,plain,
( ( mk_array3(sK0,sK8) = sF28 )
| ~ spl35_31 ),
inference(avatar_component_clause,[],[f750]) ).
tff(f2826,plain,
( spl35_89
| spl35_90
| ~ spl35_30
| spl35_78
| ~ spl35_79 ),
inference(avatar_split_clause,[],[f2789,f2723,f2719,f745,f2823,f2819]) ).
tff(f2719,plain,
( spl35_78
<=> $less(sF26,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_78])]) ).
tff(f2789,plain,
( ( sF27 = get3(sK7,sF26) )
| $less(sK3,sF26)
| ~ spl35_30
| spl35_78
| ~ spl35_79 ),
inference(subsumption_resolution,[],[f923,f2788]) ).
tff(f2788,plain,
( $less(sK5,sF26)
| ~ spl35_30
| spl35_78
| ~ spl35_79 ),
inference(subsumption_resolution,[],[f2787,f2724]) ).
tff(f2724,plain,
( $less(sF27,sF33)
| ~ spl35_79 ),
inference(avatar_component_clause,[],[f2723]) ).
tff(f2787,plain,
( ~ $less(sF27,sF33)
| $less(sK5,sF26)
| ~ spl35_30
| spl35_78 ),
inference(global_subsumption,[],[f2720,f898]) ).
tff(f898,plain,
( ~ $less(sF27,sF33)
| $less(sK5,sF26)
| $less(sF26,sK4)
| ~ spl35_30 ),
inference(superposition,[],[f521,f747]) ).
tff(f521,plain,
! [X14: $int] :
( ~ $less(get3(sK8,X14),sF33)
| $less(sK5,X14)
| $less(X14,sK4) ),
inference(definition_folding,[],[f343,f520]) ).
tff(f520,plain,
get3(sK8,sK4) = sF33,
introduced(function_definition,[]) ).
tff(f343,plain,
! [X14: $int] :
( ~ $less(get3(sK8,X14),get3(sK8,sK4))
| $less(sK5,X14)
| $less(X14,sK4) ),
inference(cnf_transformation,[],[f275]) ).
tff(f2720,plain,
( ~ $less(sF26,sK4)
| spl35_78 ),
inference(avatar_component_clause,[],[f2719]) ).
tff(f2815,plain,
( spl35_74
| ~ spl35_30
| spl35_78
| ~ spl35_79 ),
inference(avatar_split_clause,[],[f2788,f2723,f2719,f745,f2418]) ).
tff(f2786,plain,
( spl35_88
| ~ spl35_34
| ~ spl35_59 ),
inference(avatar_split_clause,[],[f2768,f1084,f773,f2783]) ).
tff(f2768,plain,
( ( sF27 = get3(sK8,sF30) )
| ~ spl35_34
| ~ spl35_59 ),
inference(backward_demodulation,[],[f775,f1086]) ).
tff(f2766,plain,
( spl35_85
| spl35_86
| ~ spl35_87
| ~ spl35_34 ),
inference(avatar_split_clause,[],[f904,f773,f2763,f2759,f2755]) ).
tff(f2755,plain,
( spl35_85
<=> $less(sF30,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_85])]) ).
tff(f904,plain,
( ~ $less(sF33,sF31)
| $less(sK4,sF30)
| $less(sF30,sK2)
| ~ spl35_34 ),
inference(superposition,[],[f522,f775]) ).
tff(f522,plain,
! [X15: $int] :
( ~ $less(sF33,get3(sK8,X15))
| $less(sK4,X15)
| $less(X15,sK2) ),
inference(definition_folding,[],[f342,f520]) ).
tff(f342,plain,
! [X15: $int] :
( ~ $less(get3(sK8,sK4),get3(sK8,X15))
| $less(sK4,X15)
| $less(X15,sK2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f2750,plain,
( spl35_82
| spl35_83
| ~ spl35_84
| ~ spl35_29 ),
inference(avatar_split_clause,[],[f902,f737,f2747,f2743,f2739]) ).
tff(f2739,plain,
( spl35_82
<=> $less(sK9,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_82])]) ).
tff(f2743,plain,
( spl35_83
<=> $less(sK4,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_83])]) ).
tff(f2747,plain,
( spl35_84
<=> $less(sF33,sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_84])]) ).
tff(f902,plain,
( ~ $less(sF33,sF24)
| $less(sK4,sK9)
| $less(sK9,sK2)
| ~ spl35_29 ),
inference(superposition,[],[f522,f739]) ).
tff(f2735,plain,
( spl35_80
| ~ spl35_81
| ~ spl35_30
| spl35_73 ),
inference(avatar_split_clause,[],[f2427,f2414,f745,f2732,f2728]) ).
tff(f2427,plain,
( ~ $less(sF33,sF27)
| $less(sK4,sF26)
| ~ spl35_30
| spl35_73 ),
inference(subsumption_resolution,[],[f903,f2415]) ).
tff(f903,plain,
( ~ $less(sF33,sF27)
| $less(sK4,sF26)
| $less(sF26,sK2)
| ~ spl35_30 ),
inference(superposition,[],[f522,f747]) ).
tff(f2726,plain,
( spl35_78
| ~ spl35_79
| ~ spl35_30
| spl35_74 ),
inference(avatar_split_clause,[],[f2426,f2418,f745,f2723,f2719]) ).
tff(f2426,plain,
( ~ $less(sF27,sF33)
| $less(sF26,sK4)
| ~ spl35_30
| spl35_74 ),
inference(subsumption_resolution,[],[f898,f2419]) ).
tff(f2717,plain,
( ~ spl35_77
| ~ spl35_5
| spl35_74 ),
inference(avatar_split_clause,[],[f2496,f2418,f553,f2714]) ).
tff(f2714,plain,
( spl35_77
<=> ( sK6 = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_77])]) ).
tff(f553,plain,
( spl35_5
<=> $less(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_5])]) ).
tff(f2496,plain,
( ( sK6 != sF26 )
| ~ spl35_5
| spl35_74 ),
inference(constrained_resolution,[],[f2419,f555]) ).
tff(f555,plain,
( $less(sK5,sK6)
| ~ spl35_5 ),
inference(avatar_component_clause,[],[f553]) ).
tff(f2644,plain,
( ~ spl35_76
| ~ spl35_10
| spl35_74 ),
inference(avatar_split_clause,[],[f2495,f2418,f578,f2641]) ).
tff(f2641,plain,
( spl35_76
<=> ( sK0 = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_76])]) ).
tff(f578,plain,
( spl35_10
<=> $less(sK5,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_10])]) ).
tff(f2495,plain,
( ( sK0 != sF26 )
| ~ spl35_10
| spl35_74 ),
inference(constrained_resolution,[],[f2419,f580]) ).
tff(f580,plain,
( $less(sK5,sK0)
| ~ spl35_10 ),
inference(avatar_component_clause,[],[f578]) ).
tff(f2425,plain,
( spl35_73
| spl35_74
| ~ spl35_75
| ~ spl35_30 ),
inference(avatar_split_clause,[],[f892,f745,f2422,f2418,f2414]) ).
tff(f2422,plain,
( spl35_75
<=> $less(sF31,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_75])]) ).
tff(f892,plain,
( ~ $less(sF31,sF27)
| $less(sK5,sF26)
| $less(sF26,sK2)
| ~ spl35_30 ),
inference(superposition,[],[f517,f747]) ).
tff(f517,plain,
! [X11: $int] :
( ~ $less(sF31,get3(sK8,X11))
| $less(sK5,X11)
| $less(X11,sK2) ),
inference(definition_folding,[],[f349,f516,f515]) ).
tff(f515,plain,
$sum(sK5,1) = sF30,
introduced(function_definition,[]) ).
tff(f516,plain,
get3(sK8,sF30) = sF31,
introduced(function_definition,[]) ).
tff(f349,plain,
! [X11: $int] :
( ~ $less(get3(sK8,$sum(sK5,1)),get3(sK8,X11))
| $less(sK5,X11)
| $less(X11,sK2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f2207,plain,
( ~ spl35_29
| ~ spl35_50 ),
inference(avatar_contradiction_clause,[],[f2206]) ).
tff(f2206,plain,
( $false
| ~ spl35_29
| ~ spl35_50 ),
inference(global_subsumption,[],[f353,f352,f2202]) ).
tff(f2202,plain,
( $less(sK9,sK6)
| $less(sK3,sK9)
| ~ spl35_29
| ~ spl35_50 ),
inference(trivial_inequality_removal,[],[f2197]) ).
tff(f2197,plain,
( ( sF24 != sF24 )
| $less(sK9,sK6)
| $less(sK3,sK9)
| ~ spl35_29
| ~ spl35_50 ),
inference(superposition,[],[f960,f739]) ).
tff(f960,plain,
( ! [X10: $int] :
( ( get3(sK8,X10) != sF24 )
| $less(X10,sK6)
| $less(sK3,X10) )
| ~ spl35_50 ),
inference(avatar_component_clause,[],[f959]) ).
tff(f959,plain,
( spl35_50
<=> ! [X10: $int] :
( ( get3(sK8,X10) != sF24 )
| $less(X10,sK6)
| $less(sK3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_50])]) ).
tff(f352,plain,
~ $less(sK9,sK6),
inference(cnf_transformation,[],[f275]) ).
tff(f353,plain,
~ $less(sK3,sK9),
inference(cnf_transformation,[],[f275]) ).
tff(f2205,plain,
( ~ spl35_29
| ~ spl35_50 ),
inference(avatar_contradiction_clause,[],[f2204]) ).
tff(f2204,plain,
( $false
| ~ spl35_29
| ~ spl35_50 ),
inference(global_subsumption,[],[f353,f352,f2202]) ).
tff(f2194,plain,
( ~ spl35_72
| ~ spl35_51
| spl35_71 ),
inference(avatar_split_clause,[],[f2103,f2054,f962,f2191]) ).
tff(f962,plain,
( spl35_51
<=> $less(sF24,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_51])]) ).
tff(f2054,plain,
( spl35_71
<=> $less(sF24,42) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_71])]) ).
tff(f2103,plain,
( ( 42 != sF27 )
| ~ spl35_51
| spl35_71 ),
inference(constrained_resolution,[],[f2056,f964]) ).
tff(f964,plain,
( $less(sF24,sF27)
| ~ spl35_51 ),
inference(avatar_component_clause,[],[f962]) ).
tff(f2056,plain,
( ~ $less(sF24,42)
| spl35_71 ),
inference(avatar_component_clause,[],[f2054]) ).
tff(f2057,plain,
( ~ spl35_71
| ~ spl35_68 ),
inference(avatar_split_clause,[],[f1990,f1684,f2054]) ).
tff(f1684,plain,
( spl35_68
<=> ( sF24 = get3(sK7,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_68])]) ).
tff(f1990,plain,
( ~ $less(sF24,42)
| ~ spl35_68 ),
inference(global_subsumption,[],[f353,f352,f1983]) ).
tff(f1983,plain,
( ~ $less(sF24,42)
| $less(sK3,sK9)
| $less(sK9,sK6)
| ~ spl35_68 ),
inference(superposition,[],[f334,f1686]) ).
tff(f1686,plain,
( ( sF24 = get3(sK7,sK9) )
| ~ spl35_68 ),
inference(avatar_component_clause,[],[f1684]) ).
tff(f334,plain,
! [X16: $int] :
( ~ $less(get3(sK7,X16),42)
| $less(sK3,X16)
| $less(X16,sK6) ),
inference(cnf_transformation,[],[f275]) ).
tff(f1851,plain,
( ~ spl35_70
| spl35_4
| ~ spl35_67 ),
inference(avatar_split_clause,[],[f1769,f1680,f548,f1848]) ).
tff(f1848,plain,
( spl35_70
<=> ( sK2 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_70])]) ).
tff(f548,plain,
( spl35_4
<=> $less(sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_4])]) ).
tff(f1680,plain,
( spl35_67
<=> $less(sK5,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_67])]) ).
tff(f1769,plain,
( ( sK2 != sK9 )
| spl35_4
| ~ spl35_67 ),
inference(constrained_resolution,[],[f1681,f550]) ).
tff(f550,plain,
( ~ $less(sK5,sK2)
| spl35_4 ),
inference(avatar_component_clause,[],[f548]) ).
tff(f1681,plain,
( $less(sK5,sK9)
| ~ spl35_67 ),
inference(avatar_component_clause,[],[f1680]) ).
tff(f1810,plain,
( ~ spl35_69
| spl35_9
| ~ spl35_67 ),
inference(avatar_split_clause,[],[f1768,f1680,f573,f1807]) ).
tff(f1807,plain,
( spl35_69
<=> ( sK4 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_69])]) ).
tff(f573,plain,
( spl35_9
<=> $less(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_9])]) ).
tff(f1768,plain,
( ( sK4 != sK9 )
| spl35_9
| ~ spl35_67 ),
inference(constrained_resolution,[],[f1681,f575]) ).
tff(f575,plain,
( ~ $less(sK5,sK4)
| spl35_9 ),
inference(avatar_component_clause,[],[f573]) ).
tff(f1687,plain,
( ~ spl35_67
| spl35_68
| ~ spl35_29 ),
inference(avatar_split_clause,[],[f932,f737,f1684,f1680]) ).
tff(f932,plain,
( ( sF24 = get3(sK7,sK9) )
| ~ $less(sK5,sK9)
| ~ spl35_29 ),
inference(global_subsumption,[],[f353,f922]) ).
tff(f922,plain,
( ( sF24 = get3(sK7,sK9) )
| $less(sK3,sK9)
| ~ $less(sK5,sK9)
| ~ spl35_29 ),
inference(superposition,[],[f345,f739]) ).
tff(f1281,plain,
( ~ spl35_66
| ~ spl35_18
| ~ spl35_25 ),
inference(avatar_split_clause,[],[f1262,f681,f645,f1278]) ).
tff(f1278,plain,
( spl35_66
<=> ( sF29 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_66])]) ).
tff(f681,plain,
( spl35_25
<=> permut_sub3(sF34,sF32,sK2,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_25])]) ).
tff(f1262,plain,
( ( sF29 != -1 )
| ~ spl35_18
| ~ spl35_25 ),
inference(subsumption_resolution,[],[f710,f1258]) ).
tff(f1258,plain,
! [X2: $int,X0: array_int,X1: array_int] : ~ permut_sub3(X0,X1,X2,-1),
inference(resolution,[],[f920,f411]) ).
tff(f920,plain,
! [X2: uni,X3: $int,X0: ty,X1: uni] : ~ permut3(X0,X1,X2,X3,-1),
inference(interpreted_simplification,[],[f919]) ).
tff(f919,plain,
! [X2: uni,X3: $int,X0: ty,X1: uni] :
( ~ permut3(X0,X1,X2,X3,-1)
| ~ $less(-1,0) ),
inference(instantiation,[],[f446]) ).
tff(f710,plain,
( ( sF29 != -1 )
| permut_sub3(sF34,sF32,sK2,-1)
| ~ spl35_18
| ~ spl35_25 ),
inference(forward_demodulation,[],[f708,f647]) ).
tff(f708,plain,
( permut_sub3(sF34,sF32,sK2,-1)
| ( sF25 != sF29 )
| ~ spl35_18
| ~ spl35_25 ),
inference(constrained_superposition,[],[f683,f647]) ).
tff(f683,plain,
( permut_sub3(sF34,sF32,sK2,sF29)
| ~ spl35_25 ),
inference(avatar_component_clause,[],[f681]) ).
tff(f1274,plain,
( ~ spl35_65
| ~ spl35_18
| ~ spl35_23 ),
inference(avatar_split_clause,[],[f1260,f671,f645,f1271]) ).
tff(f1271,plain,
( spl35_65
<=> ( sF30 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_65])]) ).
tff(f1260,plain,
( ( sF30 != -1 )
| ~ spl35_18
| ~ spl35_23 ),
inference(subsumption_resolution,[],[f701,f1258]) ).
tff(f701,plain,
( ( sF30 != -1 )
| permut_sub3(sF32,sF28,sK2,-1)
| ~ spl35_18
| ~ spl35_23 ),
inference(forward_demodulation,[],[f699,f647]) ).
tff(f699,plain,
( permut_sub3(sF32,sF28,sK2,-1)
| ( sF25 != sF30 )
| ~ spl35_18
| ~ spl35_23 ),
inference(constrained_superposition,[],[f673,f647]) ).
tff(f1193,plain,
( spl35_64
| ~ spl35_37 ),
inference(avatar_split_clause,[],[f870,f792,f1190]) ).
tff(f1190,plain,
( spl35_64
<=> ( sK0 = length1(int,t2tb2(sF34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_64])]) ).
tff(f870,plain,
( ( sK0 = length1(int,t2tb2(sF34)) )
| ~ spl35_37 ),
inference(superposition,[],[f372,f794]) ).
tff(f372,plain,
! [X0: $int,X1: map_int_int] : ( length1(int,t2tb2(mk_array3(X0,X1))) = X0 ),
inference(cnf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: $int,X1: map_int_int] : ( length1(int,t2tb2(mk_array3(X0,X1))) = X0 ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X6: $int,X15: map_int_int] : ( length1(int,t2tb2(mk_array3(X6,X15))) = X6 ),
file('/export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893',length_def2) ).
tff(f1176,plain,
( spl35_63
| ~ spl35_35 ),
inference(avatar_split_clause,[],[f869,f778,f1173]) ).
tff(f1173,plain,
( spl35_63
<=> ( sK0 = length1(int,t2tb2(sF32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_63])]) ).
tff(f869,plain,
( ( sK0 = length1(int,t2tb2(sF32)) )
| ~ spl35_35 ),
inference(superposition,[],[f372,f780]) ).
tff(f1148,plain,
( spl35_62
| ~ spl35_31 ),
inference(avatar_split_clause,[],[f868,f750,f1145]) ).
tff(f1145,plain,
( spl35_62
<=> ( sK0 = length1(int,t2tb2(sF28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_62])]) ).
tff(f868,plain,
( ( sK0 = length1(int,t2tb2(sF28)) )
| ~ spl35_31 ),
inference(superposition,[],[f372,f752]) ).
tff(f1117,plain,
( ~ spl35_60
| spl35_61
| ~ spl35_29
| ~ spl35_34 ),
inference(avatar_split_clause,[],[f832,f773,f737,f1114,f1110]) ).
tff(f1110,plain,
( spl35_60
<=> ( sK9 = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_60])]) ).
tff(f1114,plain,
( spl35_61
<=> ( sF24 = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_61])]) ).
tff(f832,plain,
( ( sF24 = sF31 )
| ( sK9 != sF30 )
| ~ spl35_29
| ~ spl35_34 ),
inference(constrained_superposition,[],[f775,f739]) ).
tff(f1087,plain,
( ~ spl35_58
| spl35_59
| ~ spl35_30
| ~ spl35_34 ),
inference(avatar_split_clause,[],[f831,f773,f745,f1084,f1080]) ).
tff(f1080,plain,
( spl35_58
<=> ( sF26 = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_58])]) ).
tff(f831,plain,
( ( sF27 = sF31 )
| ( sF26 != sF30 )
| ~ spl35_30
| ~ spl35_34 ),
inference(constrained_superposition,[],[f775,f747]) ).
tff(f1039,plain,
( ~ spl35_56
| spl35_57
| ~ spl35_29
| ~ spl35_30 ),
inference(avatar_split_clause,[],[f812,f745,f737,f1036,f1032]) ).
tff(f1032,plain,
( spl35_56
<=> ( sK9 = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_56])]) ).
tff(f1036,plain,
( spl35_57
<=> ( sF24 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_57])]) ).
tff(f812,plain,
( ( sF24 = sF27 )
| ( sK9 != sF26 )
| ~ spl35_29
| ~ spl35_30 ),
inference(constrained_superposition,[],[f747,f739]) ).
tff(f1010,plain,
( ~ spl35_54
| ~ spl35_55
| ~ spl35_18
| spl35_19 ),
inference(avatar_split_clause,[],[f728,f651,f645,f1007,f1003]) ).
tff(f1003,plain,
( spl35_54
<=> ( sK3 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_54])]) ).
tff(f1007,plain,
( spl35_55
<=> ( sK5 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_55])]) ).
tff(f651,plain,
( spl35_19
<=> ( sK3 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_19])]) ).
tff(f728,plain,
( ( sK5 != -1 )
| ( sK3 != -1 )
| ~ spl35_18
| spl35_19 ),
inference(forward_demodulation,[],[f726,f647]) ).
tff(f726,plain,
( ( sK3 != -1 )
| ( sK5 != sF25 )
| ~ spl35_18
| spl35_19 ),
inference(constrained_superposition,[],[f653,f647]) ).
tff(f653,plain,
( ( sK3 != sK5 )
| spl35_19 ),
inference(avatar_component_clause,[],[f651]) ).
tff(f989,plain,
( ~ spl35_52
| ~ spl35_53
| spl35_17
| ~ spl35_18 ),
inference(avatar_split_clause,[],[f724,f645,f640,f986,f982]) ).
tff(f982,plain,
( spl35_52
<=> ( sK2 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_52])]) ).
tff(f986,plain,
( spl35_53
<=> ( sK6 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_53])]) ).
tff(f640,plain,
( spl35_17
<=> ( sK2 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_17])]) ).
tff(f724,plain,
( ( sK6 != -1 )
| ( sK2 != -1 )
| spl35_17
| ~ spl35_18 ),
inference(forward_demodulation,[],[f722,f647]) ).
tff(f722,plain,
( ( sK2 != -1 )
| ( sK6 != sF25 )
| spl35_17
| ~ spl35_18 ),
inference(constrained_superposition,[],[f642,f647]) ).
tff(f642,plain,
( ( sK2 != sK6 )
| spl35_17 ),
inference(avatar_component_clause,[],[f640]) ).
tff(f965,plain,
( spl35_50
| spl35_51 ),
inference(avatar_split_clause,[],[f511,f962,f959]) ).
tff(f511,plain,
! [X10: $int] :
( $less(sF24,sF27)
| ( get3(sK8,X10) != sF24 )
| $less(sK3,X10)
| $less(X10,sK6) ),
inference(definition_folding,[],[f354,f507,f510,f509,f508,f507]) ).
tff(f508,plain,
$uminus(1) = sF25,
introduced(function_definition,[]) ).
tff(f509,plain,
$sum(sK6,sF25) = sF26,
introduced(function_definition,[]) ).
tff(f510,plain,
get3(sK8,sF26) = sF27,
introduced(function_definition,[]) ).
tff(f507,plain,
get3(sK8,sK9) = sF24,
introduced(function_definition,[]) ).
tff(f354,plain,
! [X10: $int] :
( $less(get3(sK8,sK9),get3(sK8,$sum(sK6,$uminus(1))))
| ( get3(sK8,X10) != get3(sK8,sK9) )
| $less(sK3,X10)
| $less(X10,sK6) ),
inference(cnf_transformation,[],[f275]) ).
tff(f942,plain,
( ~ spl35_48
| ~ spl35_49
| spl35_15
| ~ spl35_18 ),
inference(avatar_split_clause,[],[f720,f645,f629,f939,f935]) ).
tff(f935,plain,
( spl35_48
<=> ( sK0 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_48])]) ).
tff(f939,plain,
( spl35_49
<=> ( sK4 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_49])]) ).
tff(f629,plain,
( spl35_15
<=> ( sK0 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_15])]) ).
tff(f720,plain,
( ( sK4 != -1 )
| ( sK0 != -1 )
| spl35_15
| ~ spl35_18 ),
inference(forward_demodulation,[],[f718,f647]) ).
tff(f718,plain,
( ( sK0 != -1 )
| ( sK4 != sF25 )
| spl35_15
| ~ spl35_18 ),
inference(constrained_superposition,[],[f631,f647]) ).
tff(f631,plain,
( ( sK0 != sK4 )
| spl35_15 ),
inference(avatar_component_clause,[],[f629]) ).
tff(f916,plain,
( ~ spl35_47
| ~ spl35_36 ),
inference(avatar_split_clause,[],[f895,f787,f913]) ).
tff(f895,plain,
( ~ $less(sF31,sF33)
| ~ spl35_36 ),
inference(global_subsumption,[],[f338,f337,f890]) ).
tff(f890,plain,
( ~ $less(sF31,sF33)
| $less(sK5,sK4)
| $less(sK4,sK2)
| ~ spl35_36 ),
inference(superposition,[],[f517,f789]) ).
tff(f886,plain,
( ~ spl35_45
| ~ spl35_46
| ~ spl35_36 ),
inference(avatar_split_clause,[],[f877,f787,f883,f879]) ).
tff(f879,plain,
( spl35_45
<=> ( sK7 = sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_45])]) ).
tff(f877,plain,
( ~ $less(42,sF33)
| ( sK7 != sK8 )
| ~ spl35_36 ),
inference(global_subsumption,[],[f338,f337,f873]) ).
tff(f873,plain,
( ~ $less(42,sF33)
| $less(sK5,sK4)
| $less(sK4,sK2)
| ( sK7 != sK8 )
| ~ spl35_36 ),
inference(constrained_superposition,[],[f332,f789]) ).
tff(f864,plain,
( ~ spl35_43
| ~ spl35_44
| ~ spl35_10
| spl35_11 ),
inference(avatar_split_clause,[],[f622,f583,f578,f861,f857]) ).
tff(f857,plain,
( spl35_43
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_43])]) ).
tff(f861,plain,
( spl35_44
<=> ( sK0 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_44])]) ).
tff(f583,plain,
( spl35_11
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_11])]) ).
tff(f622,plain,
( ( sK0 != sK5 )
| ( 0 != sK0 )
| ~ spl35_10
| spl35_11 ),
inference(constrained_resolution,[],[f585,f580]) ).
tff(f585,plain,
( ~ $less(sK0,0)
| spl35_11 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f850,plain,
( ~ spl35_41
| ~ spl35_42
| ~ spl35_5
| spl35_7 ),
inference(avatar_split_clause,[],[f611,f563,f553,f847,f843]) ).
tff(f843,plain,
( spl35_41
<=> ( 0 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_41])]) ).
tff(f847,plain,
( spl35_42
<=> ( sK2 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_42])]) ).
tff(f563,plain,
( spl35_7
<=> $less(sK2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_7])]) ).
tff(f611,plain,
( ( sK2 != sK5 )
| ( 0 != sK6 )
| ~ spl35_5
| spl35_7 ),
inference(constrained_resolution,[],[f565,f555]) ).
tff(f565,plain,
( ~ $less(sK2,0)
| spl35_7 ),
inference(avatar_component_clause,[],[f563]) ).
tff(f830,plain,
( ~ spl35_39
| ~ spl35_40
| spl35_1
| ~ spl35_2 ),
inference(avatar_split_clause,[],[f602,f538,f533,f827,f823]) ).
tff(f823,plain,
( spl35_39
<=> ( sK3 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_39])]) ).
tff(f827,plain,
( spl35_40
<=> ( sK2 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_40])]) ).
tff(f533,plain,
( spl35_1
<=> $less(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_1])]) ).
tff(f538,plain,
( spl35_2
<=> $less(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_2])]) ).
tff(f602,plain,
( ( sK2 != sK3 )
| ( sK3 != sK4 )
| spl35_1
| ~ spl35_2 ),
inference(constrained_resolution,[],[f540,f535]) ).
tff(f535,plain,
( ~ $less(sK3,sK4)
| spl35_1 ),
inference(avatar_component_clause,[],[f533]) ).
tff(f540,plain,
( $less(sK2,sK3)
| ~ spl35_2 ),
inference(avatar_component_clause,[],[f538]) ).
tff(f800,plain,
spl35_38,
inference(avatar_split_clause,[],[f531,f797]) ).
tff(f797,plain,
( spl35_38
<=> ( sF26 = $sum(sK6,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_38])]) ).
tff(f531,plain,
sF26 = $sum(sK6,-1),
inference(backward_demodulation,[],[f509,f530]) ).
tff(f530,plain,
sF25 = -1,
inference(evaluation,[],[f508]) ).
tff(f795,plain,
spl35_37,
inference(avatar_split_clause,[],[f524,f792]) ).
tff(f524,plain,
mk_array3(sK0,sK1) = sF34,
introduced(function_definition,[]) ).
tff(f790,plain,
spl35_36,
inference(avatar_split_clause,[],[f520,f787]) ).
tff(f781,plain,
spl35_35,
inference(avatar_split_clause,[],[f518,f778]) ).
tff(f518,plain,
mk_array3(sK0,sK7) = sF32,
introduced(function_definition,[]) ).
tff(f776,plain,
spl35_34,
inference(avatar_split_clause,[],[f516,f773]) ).
tff(f767,plain,
spl35_33,
inference(avatar_split_clause,[],[f515,f764]) ).
tff(f764,plain,
( spl35_33
<=> ( $sum(sK5,1) = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_33])]) ).
tff(f762,plain,
spl35_32,
inference(avatar_split_clause,[],[f513,f759]) ).
tff(f759,plain,
( spl35_32
<=> ( $sum(sK3,1) = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_32])]) ).
tff(f513,plain,
$sum(sK3,1) = sF29,
introduced(function_definition,[]) ).
tff(f753,plain,
spl35_31,
inference(avatar_split_clause,[],[f512,f750]) ).
tff(f512,plain,
mk_array3(sK0,sK8) = sF28,
introduced(function_definition,[]) ).
tff(f748,plain,
spl35_30,
inference(avatar_split_clause,[],[f510,f745]) ).
tff(f740,plain,
spl35_29,
inference(avatar_split_clause,[],[f507,f737]) ).
tff(f715,plain,
( ~ spl35_28
| ~ spl35_3
| spl35_14 ),
inference(avatar_split_clause,[],[f627,f598,f543,f712]) ).
tff(f712,plain,
( spl35_28
<=> ( sK0 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_28])]) ).
tff(f543,plain,
( spl35_3
<=> $less(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_3])]) ).
tff(f598,plain,
( spl35_14
<=> $less(sK3,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_14])]) ).
tff(f627,plain,
( ( sK0 != sK9 )
| ~ spl35_3
| spl35_14 ),
inference(constrained_resolution,[],[f600,f545]) ).
tff(f545,plain,
( $less(sK3,sK0)
| ~ spl35_3 ),
inference(avatar_component_clause,[],[f543]) ).
tff(f600,plain,
( ~ $less(sK3,sK9)
| spl35_14 ),
inference(avatar_component_clause,[],[f598]) ).
tff(f706,plain,
( ~ spl35_27
| spl35_4
| ~ spl35_10 ),
inference(avatar_split_clause,[],[f621,f578,f548,f703]) ).
tff(f703,plain,
( spl35_27
<=> ( sK0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_27])]) ).
tff(f621,plain,
( ( sK0 != sK2 )
| spl35_4
| ~ spl35_10 ),
inference(constrained_resolution,[],[f580,f550]) ).
tff(f693,plain,
( ~ spl35_26
| ~ spl35_5
| spl35_9 ),
inference(avatar_split_clause,[],[f619,f573,f553,f690]) ).
tff(f690,plain,
( spl35_26
<=> ( sK4 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_26])]) ).
tff(f619,plain,
( ( sK4 != sK6 )
| ~ spl35_5
| spl35_9 ),
inference(constrained_resolution,[],[f575,f555]) ).
tff(f684,plain,
spl35_25,
inference(avatar_split_clause,[],[f525,f681]) ).
tff(f525,plain,
permut_sub3(sF34,sF32,sK2,sF29),
inference(definition_folding,[],[f331,f513,f518,f524]) ).
tff(f331,plain,
permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(sK3,1)),
inference(cnf_transformation,[],[f275]) ).
tff(f679,plain,
( ~ spl35_24
| ~ spl35_2
| spl35_7 ),
inference(avatar_split_clause,[],[f613,f563,f538,f676]) ).
tff(f676,plain,
( spl35_24
<=> ( 0 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_24])]) ).
tff(f613,plain,
( ( 0 != sK3 )
| ~ spl35_2
| spl35_7 ),
inference(constrained_resolution,[],[f565,f540]) ).
tff(f674,plain,
spl35_23,
inference(avatar_split_clause,[],[f523,f671]) ).
tff(f523,plain,
permut_sub3(sF32,sF28,sK2,sF30),
inference(definition_folding,[],[f341,f515,f512,f518]) ).
tff(f341,plain,
permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK5,1)),
inference(cnf_transformation,[],[f275]) ).
tff(f669,plain,
spl35_22,
inference(avatar_split_clause,[],[f519,f666]) ).
tff(f666,plain,
( spl35_22
<=> permut_sub3(sF32,sF28,sK2,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_22])]) ).
tff(f519,plain,
permut_sub3(sF32,sF28,sK2,sF29),
inference(definition_folding,[],[f344,f513,f512,f518]) ).
tff(f344,plain,
permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK3,1)),
inference(cnf_transformation,[],[f275]) ).
tff(f664,plain,
( ~ spl35_21
| ~ spl35_3
| spl35_6 ),
inference(avatar_split_clause,[],[f610,f558,f543,f661]) ).
tff(f661,plain,
( spl35_21
<=> ( sK0 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_21])]) ).
tff(f558,plain,
( spl35_6
<=> $less(sK3,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_6])]) ).
tff(f610,plain,
( ( sK0 != sK6 )
| ~ spl35_3
| spl35_6 ),
inference(constrained_resolution,[],[f560,f545]) ).
tff(f560,plain,
( ~ $less(sK3,sK6)
| spl35_6 ),
inference(avatar_component_clause,[],[f558]) ).
tff(f659,plain,
spl35_20,
inference(avatar_split_clause,[],[f514,f656]) ).
tff(f514,plain,
permut_sub3(sF28,sF28,sK2,sF29),
inference(definition_folding,[],[f351,f513,f512,f512]) ).
tff(f351,plain,
permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(sK3,1)),
inference(cnf_transformation,[],[f275]) ).
tff(f654,plain,
( ~ spl35_19
| ~ spl35_5
| spl35_6 ),
inference(avatar_split_clause,[],[f608,f558,f553,f651]) ).
tff(f608,plain,
( ( sK3 != sK5 )
| ~ spl35_5
| spl35_6 ),
inference(constrained_resolution,[],[f560,f555]) ).
tff(f648,plain,
spl35_18,
inference(avatar_split_clause,[],[f530,f645]) ).
tff(f643,plain,
( ~ spl35_17
| spl35_4
| ~ spl35_5 ),
inference(avatar_split_clause,[],[f607,f553,f548,f640]) ).
tff(f607,plain,
( ( sK2 != sK6 )
| spl35_4
| ~ spl35_5 ),
inference(constrained_resolution,[],[f555,f550]) ).
tff(f637,plain,
~ spl35_16,
inference(avatar_split_clause,[],[f355,f634]) ).
tff(f634,plain,
( spl35_16
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_16])]) ).
tff(f355,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893',true_False) ).
tff(f632,plain,
( ~ spl35_15
| spl35_1
| ~ spl35_3 ),
inference(avatar_split_clause,[],[f603,f543,f533,f629]) ).
tff(f603,plain,
( ( sK0 != sK4 )
| spl35_1
| ~ spl35_3 ),
inference(constrained_resolution,[],[f545,f535]) ).
tff(f601,plain,
~ spl35_14,
inference(avatar_split_clause,[],[f353,f598]) ).
tff(f596,plain,
~ spl35_13,
inference(avatar_split_clause,[],[f352,f593]) ).
tff(f593,plain,
( spl35_13
<=> $less(sK9,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_13])]) ).
tff(f591,plain,
spl35_12,
inference(avatar_split_clause,[],[f350,f588]) ).
tff(f588,plain,
( spl35_12
<=> $less(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_12])]) ).
tff(f350,plain,
$less(sK4,sK6),
inference(cnf_transformation,[],[f275]) ).
tff(f586,plain,
~ spl35_11,
inference(avatar_split_clause,[],[f340,f583]) ).
tff(f340,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f275]) ).
tff(f581,plain,
spl35_10,
inference(avatar_split_clause,[],[f339,f578]) ).
tff(f339,plain,
$less(sK5,sK0),
inference(cnf_transformation,[],[f275]) ).
tff(f576,plain,
~ spl35_9,
inference(avatar_split_clause,[],[f338,f573]) ).
tff(f571,plain,
~ spl35_8,
inference(avatar_split_clause,[],[f337,f568]) ).
tff(f566,plain,
~ spl35_7,
inference(avatar_split_clause,[],[f336,f563]) ).
tff(f336,plain,
~ $less(sK2,0),
inference(cnf_transformation,[],[f275]) ).
tff(f561,plain,
~ spl35_6,
inference(avatar_split_clause,[],[f330,f558]) ).
tff(f330,plain,
~ $less(sK3,sK6),
inference(cnf_transformation,[],[f275]) ).
tff(f556,plain,
spl35_5,
inference(avatar_split_clause,[],[f329,f553]) ).
tff(f329,plain,
$less(sK5,sK6),
inference(cnf_transformation,[],[f275]) ).
tff(f551,plain,
~ spl35_4,
inference(avatar_split_clause,[],[f328,f548]) ).
tff(f328,plain,
~ $less(sK5,sK2),
inference(cnf_transformation,[],[f275]) ).
tff(f546,plain,
spl35_3,
inference(avatar_split_clause,[],[f326,f543]) ).
tff(f326,plain,
$less(sK3,sK0),
inference(cnf_transformation,[],[f275]) ).
tff(f541,plain,
spl35_2,
inference(avatar_split_clause,[],[f325,f538]) ).
tff(f325,plain,
$less(sK2,sK3),
inference(cnf_transformation,[],[f275]) ).
tff(f536,plain,
~ spl35_1,
inference(avatar_split_clause,[],[f321,f533]) ).
tff(f321,plain,
~ $less(sK3,sK4),
inference(cnf_transformation,[],[f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW575_2 : TPTP v8.1.2. Released v6.1.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n006.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun Aug 27 18:44:51 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TF0_THM_EQU_ARI problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893
% 0.16/0.38 % (15190)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (15197)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.23/0.45 % (15199)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.23/0.45 % (15198)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.23/0.45 % (15202)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.23/0.45 % (15196)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.23/0.45 % (15201)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.23/0.49 % (15203)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 3.57/0.93 % (15201)First to succeed.
% 4.15/0.99 % (15201)Refutation found. Thanks to Tanya!
% 4.15/0.99 % SZS status Theorem for Vampire---4
% 4.15/0.99 % SZS output start Proof for Vampire---4
% See solution above
% 4.15/0.99 % (15201)------------------------------
% 4.15/0.99 % (15201)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.15/0.99 % (15201)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.15/0.99 % (15201)Termination reason: Refutation
% 4.15/0.99
% 4.15/0.99 % (15201)Memory used [KB]: 16119
% 4.15/0.99 % (15201)Time elapsed: 0.535 s
% 4.15/0.99 % (15201)------------------------------
% 4.15/0.99 % (15201)------------------------------
% 4.15/0.99 % (15190)Success in time 0.606 s
% 4.15/0.99 15199 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.xc3DhhTjD1/Vampire---4.8_14893
% 4.15/0.99 % (15199)------------------------------
% 4.15/0.99 % (15199)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.15/0.99 % (15199)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.15/0.99 % (15199)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 4.15/0.99
% 4.15/0.99 % (15199)Memory used [KB]: 16630
% 4.15/0.99 % (15199)Time elapsed: 0.546 s
% 4.15/0.99 % (15199)------------------------------
% 4.15/0.99 % (15199)------------------------------
% 4.15/0.99 % Vampire---4.8 exiting
%------------------------------------------------------------------------------