TSTP Solution File: SWW618_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW618_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 04:20:20 EDT 2024
% Result : Theorem 0.59s 0.83s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 105
% Syntax : Number of formulae : 148 ( 32 unt; 92 typ; 0 def)
% Number of atoms : 93 ( 56 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 63 ( 26 ~; 11 |; 12 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 11 ( 0 atm; 0 fun; 0 num; 11 var)
% Number of types : 14 ( 12 usr; 1 ari)
% Number of type conns : 130 ( 65 >; 65 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 71 ( 71 usr; 15 con; 0-5 aty)
% Number of variables : 117 ( 104 !; 13 ?; 117 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
set1: $tType ).
tff(type_def_10,type,
map_int_lpmap_int_intrp: $tType ).
tff(type_def_11,type,
map_int_int: $tType ).
tff(type_def_12,type,
lpintcm_setrp: $tType ).
tff(type_def_13,type,
lpintcm_map_int_intrp: $tType ).
tff(type_def_14,type,
t18_lpintcm_setrp_lpintcm_map_int_intrp: $tType ).
tff(type_def_15,type,
option_lpintcm_map_int_intrp: $tType ).
tff(type_def_16,type,
map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
min: ( $int * $int ) > $int ).
tff(func_def_13,type,
max: ( $int * $int ) > $int ).
tff(func_def_14,type,
map: ( ty * ty ) > ty ).
tff(func_def_15,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_16,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_17,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_18,type,
ref: ty > ty ).
tff(func_def_19,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_20,type,
contents: ( ty * uni ) > uni ).
tff(func_def_21,type,
n: $int ).
tff(func_def_22,type,
size: $int ).
tff(func_def_23,type,
set2: ty ).
tff(func_def_24,type,
remove: ( $int * set1 ) > set1 ).
tff(func_def_25,type,
below: $int > set1 ).
tff(func_def_26,type,
cardinal: set1 > $int ).
tff(func_def_29,type,
m: map_int_lpmap_int_intrp ).
tff(func_def_30,type,
t2tb: map_int_int > uni ).
tff(func_def_31,type,
tb2t: uni > map_int_int ).
tff(func_def_32,type,
t2tb1: map_int_lpmap_int_intrp > uni ).
tff(func_def_33,type,
tb2t1: uni > map_int_lpmap_int_intrp ).
tff(func_def_34,type,
t2tb2: $int > uni ).
tff(func_def_35,type,
tb2t2: uni > $int ).
tff(func_def_36,type,
f: ( map_int_int * $int ) > $int ).
tff(func_def_37,type,
sum: ( map_int_int * $int * $int ) > $int ).
tff(func_def_39,type,
option: ty > ty ).
tff(func_def_40,type,
none: ty > uni ).
tff(func_def_41,type,
some: ( ty * uni ) > uni ).
tff(func_def_42,type,
match_option: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_43,type,
some_proj_1: ( ty * uni ) > uni ).
tff(func_def_44,type,
t: ( ty * ty ) > ty ).
tff(func_def_45,type,
mk_t: ( ty * ty * uni ) > uni ).
tff(func_def_46,type,
contents1: ( ty * ty * uni ) > uni ).
tff(func_def_47,type,
mixfix_lbrb: ( ty * ty * uni * uni ) > uni ).
tff(func_def_48,type,
tuple2: ( ty * ty ) > ty ).
tff(func_def_49,type,
tuple21: ( ty * ty * uni * uni ) > uni ).
tff(func_def_50,type,
tuple2_proj_1: ( ty * ty * uni ) > uni ).
tff(func_def_51,type,
tuple2_proj_2: ( ty * ty * uni ) > uni ).
tff(func_def_52,type,
t2tb3: lpintcm_setrp > uni ).
tff(func_def_53,type,
tb2t3: uni > lpintcm_setrp ).
tff(func_def_54,type,
t2tb4: set1 > uni ).
tff(func_def_55,type,
tb2t4: uni > set1 ).
tff(func_def_56,type,
t2tb5: lpintcm_map_int_intrp > uni ).
tff(func_def_57,type,
tb2t5: uni > lpintcm_map_int_intrp ).
tff(func_def_58,type,
t2tb6: option_lpintcm_map_int_intrp > uni ).
tff(func_def_59,type,
tb2t6: uni > option_lpintcm_map_int_intrp ).
tff(func_def_60,type,
t2tb7: t18_lpintcm_setrp_lpintcm_map_int_intrp > uni ).
tff(func_def_61,type,
tb2t7: uni > t18_lpintcm_setrp_lpintcm_map_int_intrp ).
tff(func_def_62,type,
t2tb8: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp > uni ).
tff(func_def_63,type,
tb2t8: uni > map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp ).
tff(func_def_65,type,
sK3: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp ).
tff(func_def_66,type,
sK4: lpintcm_setrp ).
tff(func_def_67,type,
sK5: lpintcm_map_int_intrp ).
tff(func_def_68,type,
sK6: ( $int * $int * set1 ) > map_int_int ).
tff(func_def_69,type,
sK7: ( $int * set1 * map_int_int ) > $int ).
tff(func_def_70,type,
sK8: ( set1 * map_int_int * $int ) > $int ).
tff(func_def_71,type,
sK9: set1 > $int ).
tff(func_def_72,type,
sK10: ( map_int_int * $int ) > $int ).
tff(func_def_73,type,
sK11: ( map_int_int * $int ) > $int ).
tff(func_def_74,type,
sK12: ( map_int_int * $int ) > $int ).
tff(func_def_75,type,
sK13: set1 > $int ).
tff(func_def_76,type,
sK14: ( map_int_int * map_int_int * $int * $int ) > $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( $int * set1 ) > $o ).
tff(pred_def_5,type,
solution: ( map_int_int * $int ) > $o ).
tff(pred_def_6,type,
pre: lpintcm_setrp > $o ).
tff(pred_def_7,type,
post: ( lpintcm_setrp * lpintcm_map_int_intrp ) > $o ).
tff(pred_def_8,type,
inv: t18_lpintcm_setrp_lpintcm_map_int_intrp > $o ).
tff(pred_def_9,type,
sP0: ( set1 * map_int_int * $int ) > $o ).
tff(pred_def_10,type,
sP1: ( $int * $int * set1 * map_int_int ) > $o ).
tff(pred_def_11,type,
sP2: ( map_int_int * $int ) > $o ).
tff(f454,plain,
$false,
inference(unit_resulting_resolution,[],[f320,f453,f434]) ).
tff(f434,plain,
! [X0: uni] :
( ( none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),X0) )
| ~ sort(tuple2(int,set2),X0) ),
inference(subsumption_resolution,[],[f432,f404]) ).
tff(f404,plain,
! [X2: uni,X0: ty,X1: ty] : sort(X0,tuple2_proj_2(X1,X0,X2)),
inference(cnf_transformation,[],[f206]) ).
tff(f206,plain,
! [X0: ty,X1: ty,X2: uni] : sort(X0,tuple2_proj_2(X1,X0,X2)),
inference(rectify,[],[f72]) ).
tff(f72,axiom,
! [X0: ty,X10: ty,X1: uni] : sort(X0,tuple2_proj_2(X10,X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',tuple2_proj_2_sort) ).
tff(f432,plain,
! [X0: uni] :
( ( none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),X0) )
| ~ sort(set2,tuple2_proj_2(int,set2,X0))
| ~ sort(tuple2(int,set2),X0) ),
inference(superposition,[],[f427,f361]) ).
tff(f361,plain,
! [X2: uni,X0: ty,X1: ty] :
( ( tuple21(X1,X0,tuple2_proj_1(X1,X0,X2),tuple2_proj_2(X1,X0,X2)) = X2 )
| ~ sort(tuple2(X1,X0),X2) ),
inference(cnf_transformation,[],[f229]) ).
tff(f229,plain,
! [X0: ty,X1: ty,X2: uni] :
( ( tuple21(X1,X0,tuple2_proj_1(X1,X0,X2),tuple2_proj_2(X1,X0,X2)) = X2 )
| ~ sort(tuple2(X1,X0),X2) ),
inference(ennf_transformation,[],[f174]) ).
tff(f174,plain,
! [X0: ty,X1: ty,X2: uni] :
( sort(tuple2(X1,X0),X2)
=> ( tuple21(X1,X0,tuple2_proj_1(X1,X0,X2),tuple2_proj_2(X1,X0,X2)) = X2 ) ),
inference(rectify,[],[f74]) ).
tff(f74,axiom,
! [X0: ty,X10: ty,X6: uni] :
( sort(tuple2(X10,X0),X6)
=> ( tuple21(X10,X0,tuple2_proj_1(X10,X0,X6),tuple2_proj_2(X10,X0,X6)) = X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',tuple2_inversion) ).
tff(f427,plain,
! [X0: uni,X1: uni] :
( ( none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),tuple21(int,set2,X1,X0)) )
| ~ sort(set2,X0) ),
inference(superposition,[],[f422,f347]) ).
tff(f347,plain,
! [X0: uni] :
( ( t2tb4(tb2t4(X0)) = X0 )
| ~ sort(set2,X0) ),
inference(cnf_transformation,[],[f222]) ).
tff(f222,plain,
! [X0: uni] :
( ( t2tb4(tb2t4(X0)) = X0 )
| ~ sort(set2,X0) ),
inference(ennf_transformation,[],[f162]) ).
tff(f162,plain,
! [X0: uni] :
( sort(set2,X0)
=> ( t2tb4(tb2t4(X0)) = X0 ) ),
inference(rectify,[],[f80]) ).
tff(f80,axiom,
! [X16: uni] :
( sort(set2,X16)
=> ( t2tb4(tb2t4(X16)) = X16 ) ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',bridgeR4) ).
tff(f422,plain,
! [X0: uni,X1: set1] : ( none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),tuple21(int,set2,X0,t2tb4(X1))) ),
inference(superposition,[],[f421,f349]) ).
tff(f349,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X16: uni] : ( t2tb2(tb2t2(X16)) = X16 ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',bridgeR2) ).
tff(f421,plain,
! [X0: $int,X1: set1] : ( none(tuple2(int,map(int,int))) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),tuple21(int,set2,t2tb2(X0),t2tb4(X1))) ),
inference(forward_demodulation,[],[f420,f370]) ).
tff(f370,plain,
! [X0: uni] : ( t2tb6(tb2t6(X0)) = X0 ),
inference(cnf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: uni] : ( t2tb6(tb2t6(X0)) = X0 ),
inference(rectify,[],[f88]) ).
tff(f88,axiom,
! [X16: uni] : ( t2tb6(tb2t6(X16)) = X16 ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',bridgeR6) ).
tff(f420,plain,
! [X0: $int,X1: set1] : ( get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),tuple21(int,set2,t2tb2(X0),t2tb4(X1))) = t2tb6(tb2t6(none(tuple2(int,map(int,int))))) ),
inference(superposition,[],[f370,f290]) ).
tff(f290,plain,
! [X3: $int,X4: set1] : ( tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),tuple21(int,set2,t2tb2(X3),t2tb4(X4)))) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
( ~ post(sK4,sK5)
& ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK5))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3)),t2tb3(sK4))) )
& ! [X3: $int,X4: set1] : ( tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),tuple21(int,set2,t2tb2(X3),t2tb4(X4)))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f251,f253,f252]) ).
tff(f252,plain,
( ? [X0: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ? [X1: lpintcm_setrp,X2: lpintcm_map_int_intrp] :
( ~ post(X1,X2)
& ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X1))) ) )
& ! [X3: $int,X4: set1] : ( tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X3),t2tb4(X4)))) ) )
=> ( ? [X2: lpintcm_map_int_intrp,X1: lpintcm_setrp] :
( ~ post(X1,X2)
& ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3)),t2tb3(X1))) ) )
& ! [X4: set1,X3: $int] : ( tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),tuple21(int,set2,t2tb2(X3),t2tb4(X4)))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f253,plain,
( ? [X2: lpintcm_map_int_intrp,X1: lpintcm_setrp] :
( ~ post(X1,X2)
& ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3)),t2tb3(X1))) ) )
=> ( ~ post(sK4,sK5)
& ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK5))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3)),t2tb3(sK4))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f251,plain,
? [X0: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ? [X1: lpintcm_setrp,X2: lpintcm_map_int_intrp] :
( ~ post(X1,X2)
& ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X2))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X1))) ) )
& ! [X3: $int,X4: set1] : ( tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X3),t2tb4(X4)))) ) ),
inference(rectify,[],[f207]) ).
tff(f207,plain,
? [X0: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ? [X3: lpintcm_setrp,X4: lpintcm_map_int_intrp] :
( ~ post(X3,X4)
& ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X4))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X3))) ) )
& ! [X1: $int,X2: set1] : ( tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X1),t2tb4(X2)))) ) ),
inference(ennf_transformation,[],[f137]) ).
tff(f137,plain,
~ ! [X0: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ! [X1: $int,X2: set1] : ( tb2t6(none(tuple2(int,map(int,int)))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X0),tuple21(int,set2,t2tb2(X1),t2tb4(X2)))) )
=> ! [X3: lpintcm_setrp,X4: lpintcm_map_int_intrp] :
( ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X4))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X0)),t2tb3(X3))) )
=> post(X3,X4) ) ),
inference(rectify,[],[f97]) ).
tff(f97,negated_conjecture,
~ ! [X29: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ! [X17: $int,X18: set1] : ( tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X29),tuple21(int,set2,t2tb2(X17),t2tb4(X18)))) = tb2t6(none(tuple2(int,map(int,int)))) )
=> ! [X17: lpintcm_setrp,X23: lpintcm_map_int_intrp] :
( ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X23))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X29)),t2tb3(X17))) )
=> post(X17,X23) ) ),
inference(negated_conjecture,[],[f96]) ).
tff(f96,conjecture,
! [X29: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ! [X17: $int,X18: set1] : ( tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(X29),tuple21(int,set2,t2tb2(X17),t2tb4(X18)))) = tb2t6(none(tuple2(int,map(int,int)))) )
=> ! [X17: lpintcm_setrp,X23: lpintcm_map_int_intrp] :
( ( tb2t6(some(tuple2(int,map(int,int)),t2tb5(X23))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X29)),t2tb3(X17))) )
=> post(X17,X23) ) ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',wP_parameter_maxmat) ).
tff(f453,plain,
none(tuple2(int,map(int,int))) != get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),t2tb3(sK4)),
inference(subsumption_resolution,[],[f452,f293]) ).
tff(f293,plain,
! [X0: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(X0)),
inference(cnf_transformation,[],[f138]) ).
tff(f138,plain,
! [X0: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(X0)),
inference(rectify,[],[f93]) ).
tff(f93,axiom,
! [X1: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(X1)),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',t2tb_sort8) ).
tff(f452,plain,
( ( none(tuple2(int,map(int,int))) != get(option(tuple2(int,map(int,int))),tuple2(int,set2),t2tb8(sK3),t2tb3(sK4)) )
| ~ sort(map(tuple2(int,set2),option(tuple2(int,map(int,int)))),t2tb8(sK3)) ),
inference(superposition,[],[f441,f338]) ).
tff(f338,plain,
! [X2: uni,X0: ty,X1: ty] :
( ( contents1(X1,X0,mk_t(X1,X0,X2)) = X2 )
| ~ sort(map(X0,option(X1)),X2) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: ty,X1: ty,X2: uni] :
( ( contents1(X1,X0,mk_t(X1,X0,X2)) = X2 )
| ~ sort(map(X0,option(X1)),X2) ),
inference(ennf_transformation,[],[f153]) ).
tff(f153,plain,
! [X0: ty,X1: ty,X2: uni] :
( sort(map(X0,option(X1)),X2)
=> ( contents1(X1,X0,mk_t(X1,X0,X2)) = X2 ) ),
inference(rectify,[],[f65]) ).
tff(f65,axiom,
! [X0: ty,X8: ty,X6: uni] :
( sort(map(X0,option(X8)),X6)
=> ( contents1(X8,X0,mk_t(X8,X0,X6)) = X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',contents_def1) ).
tff(f441,plain,
none(tuple2(int,map(int,int))) != get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3))),t2tb3(sK4)),
inference(superposition,[],[f355,f426]) ).
tff(f426,plain,
some(tuple2(int,map(int,int)),t2tb5(sK5)) = get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3))),t2tb3(sK4)),
inference(forward_demodulation,[],[f425,f370]) ).
tff(f425,plain,
some(tuple2(int,map(int,int)),t2tb5(sK5)) = t2tb6(tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3))),t2tb3(sK4)))),
inference(superposition,[],[f370,f405]) ).
tff(f405,plain,
tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK5))) = tb2t6(get(option(tuple2(int,map(int,int))),tuple2(int,set2),contents1(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3))),t2tb3(sK4))),
inference(definition_unfolding,[],[f291,f342]) ).
tff(f342,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty] : ( mixfix_lbrb(X1,X0,X2,X3) = get(option(X1),X0,contents1(X1,X0,X2),X3) ),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni] : ( mixfix_lbrb(X1,X0,X2,X3) = get(option(X1),X0,contents1(X1,X0,X2),X3) ),
inference(rectify,[],[f68]) ).
tff(f68,axiom,
! [X0: ty,X8: ty,X24: uni,X17: uni] : ( mixfix_lbrb(X8,X0,X24,X17) = get(option(X8),X0,contents1(X8,X0,X24),X17) ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',mixfix_lbrb_def) ).
tff(f291,plain,
tb2t6(some(tuple2(int,map(int,int)),t2tb5(sK5))) = tb2t6(mixfix_lbrb(tuple2(int,map(int,int)),tuple2(int,set2),mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK3)),t2tb3(sK4))),
inference(cnf_transformation,[],[f254]) ).
tff(f355,plain,
! [X0: ty,X1: uni] : ( none(X0) != some(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: ty,X1: uni] : ( none(X0) != some(X0,X1) ),
inference(rectify,[],[f59]) ).
tff(f59,axiom,
! [X0: ty,X23: uni] : ( none(X0) != some(X0,X23) ),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',none_Some) ).
tff(f320,plain,
! [X0: lpintcm_setrp] : sort(tuple2(int,set2),t2tb3(X0)),
inference(cnf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0: lpintcm_setrp] : sort(tuple2(int,set2),t2tb3(X0)),
inference(rectify,[],[f75]) ).
tff(f75,axiom,
! [X1: lpintcm_setrp] : sort(tuple2(int,set2),t2tb3(X1)),
file('/export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996',t2tb_sort3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SWW618_2 : TPTP v8.1.2. Released v6.1.0.
% 0.08/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 17:28:49 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TF0_THM_EQU_ARI problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.VqsScmhl0u/Vampire---4.8_12996
% 0.59/0.80 % (13107)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.80 % (13110)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.80 % (13111)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.80 % (13109)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80 % (13108)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.59/0.80 % (13112)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.80 % (13113)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.59/0.80 % (13114)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.59/0.80 % (13114)Refutation not found, incomplete strategy% (13114)------------------------------
% 0.59/0.80 % (13114)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (13114)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (13114)Memory used [KB]: 1085
% 0.59/0.81 % (13114)Time elapsed: 0.004 s
% 0.59/0.81 % (13112)Refutation not found, incomplete strategy% (13112)------------------------------
% 0.59/0.81 % (13112)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (13112)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (13112)Memory used [KB]: 1091
% 0.59/0.81 % (13112)Time elapsed: 0.005 s
% 0.59/0.81 % (13112)Instructions burned: 7 (million)
% 0.59/0.81 % (13112)------------------------------
% 0.59/0.81 % (13112)------------------------------
% 0.59/0.81 % (13114)Instructions burned: 7 (million)
% 0.59/0.81 % (13114)------------------------------
% 0.59/0.81 % (13114)------------------------------
% 0.59/0.81 % (13110)Refutation not found, incomplete strategy% (13110)------------------------------
% 0.59/0.81 % (13110)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (13110)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (13110)Memory used [KB]: 1104
% 0.59/0.81 % (13110)Time elapsed: 0.005 s
% 0.59/0.81 % (13110)Instructions burned: 8 (million)
% 0.59/0.81 % (13110)------------------------------
% 0.59/0.81 % (13110)------------------------------
% 0.59/0.81 % (13107)Refutation not found, incomplete strategy% (13107)------------------------------
% 0.59/0.81 % (13107)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (13107)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (13107)Memory used [KB]: 1205
% 0.59/0.81 % (13107)Time elapsed: 0.008 s
% 0.59/0.81 % (13107)Instructions burned: 13 (million)
% 0.59/0.81 % (13107)------------------------------
% 0.59/0.81 % (13107)------------------------------
% 0.59/0.81 % (13113)Refutation not found, incomplete strategy% (13113)------------------------------
% 0.59/0.81 % (13113)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (13113)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (13113)Memory used [KB]: 1157
% 0.59/0.81 % (13113)Time elapsed: 0.008 s
% 0.59/0.81 % (13113)Instructions burned: 14 (million)
% 0.59/0.81 % (13113)------------------------------
% 0.59/0.81 % (13113)------------------------------
% 0.59/0.81 % (13111)Refutation not found, incomplete strategy% (13111)------------------------------
% 0.59/0.81 % (13111)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (13111)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (13111)Memory used [KB]: 1299
% 0.59/0.81 % (13111)Time elapsed: 0.009 s
% 0.59/0.81 % (13111)Instructions burned: 16 (million)
% 0.59/0.81 % (13111)------------------------------
% 0.59/0.81 % (13111)------------------------------
% 0.59/0.81 % (13115)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.81 % (13116)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.59/0.81 % (13117)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.81 % (13118)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.81 % (13119)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.81 % (13120)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.82 % (13116)Refutation not found, incomplete strategy% (13116)------------------------------
% 0.59/0.82 % (13116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.82 % (13116)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (13116)Memory used [KB]: 1328
% 0.59/0.82 % (13116)Time elapsed: 0.010 s
% 0.59/0.82 % (13116)Instructions burned: 18 (million)
% 0.59/0.82 % (13116)------------------------------
% 0.59/0.82 % (13116)------------------------------
% 0.59/0.82 % (13121)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.82 % (13120)Refutation not found, incomplete strategy% (13120)------------------------------
% 0.59/0.82 % (13120)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.82 % (13120)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (13120)Memory used [KB]: 1300
% 0.59/0.82 % (13120)Time elapsed: 0.010 s
% 0.59/0.82 % (13120)Instructions burned: 19 (million)
% 0.59/0.82 % (13120)------------------------------
% 0.59/0.82 % (13120)------------------------------
% 0.59/0.82 % (13119)First to succeed.
% 0.59/0.83 % (13122)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.83 % (13119)Refutation found. Thanks to Tanya!
% 0.59/0.83 % SZS status Theorem for Vampire---4
% 0.59/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.83 % (13119)------------------------------
% 0.59/0.83 % (13119)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.83 % (13119)Termination reason: Refutation
% 0.59/0.83
% 0.59/0.83 % (13119)Memory used [KB]: 1346
% 0.59/0.83 % (13119)Time elapsed: 0.014 s
% 0.59/0.83 % (13119)Instructions burned: 26 (million)
% 0.59/0.83 % (13119)------------------------------
% 0.59/0.83 % (13119)------------------------------
% 0.59/0.83 % (13104)Success in time 0.483 s
% 0.59/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------