TSTP Solution File: SWW599_2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW599_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 07:27:29 EDT 2024
% Result : Theorem 4.15s 0.98s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 70
% Syntax : Number of formulae : 127 ( 36 unt; 55 typ; 0 def)
% Number of atoms : 652 ( 235 equ)
% Maximal formula atoms : 74 ( 9 avg)
% Number of connectives : 888 ( 308 ~; 196 |; 309 &)
% ( 3 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 1261 ( 286 atm; 305 fun; 476 num; 194 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 70 ( 32 >; 38 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 51 ( 45 usr; 20 con; 0-5 aty)
% Number of variables : 253 ( 172 !; 81 ?; 253 :)
% 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,
array_int: $tType ).
tff(type_def_10,type,
map_int_int: $tType ).
tff(type_def_11,type,
map_int_bool: $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,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_18,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_19,type,
array: ty > ty ).
tff(func_def_20,type,
mk_array1: ( ty * $int * uni ) > uni ).
tff(func_def_21,type,
length1: ( ty * uni ) > $int ).
tff(func_def_22,type,
elts: ( ty * uni ) > uni ).
tff(func_def_23,type,
get2: ( ty * uni * $int ) > uni ).
tff(func_def_24,type,
t2tb: $int > uni ).
tff(func_def_25,type,
tb2t: uni > $int ).
tff(func_def_26,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(func_def_27,type,
make1: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
t2tb1: array_int > uni ).
tff(func_def_29,type,
tb2t1: uni > array_int ).
tff(func_def_30,type,
t2tb2: map_int_int > uni ).
tff(func_def_31,type,
tb2t2: uni > map_int_int ).
tff(func_def_32,type,
t2tb3: bool1 > uni ).
tff(func_def_33,type,
tb2t3: uni > bool1 ).
tff(func_def_34,type,
t2tb4: map_int_bool > uni ).
tff(func_def_35,type,
tb2t4: uni > map_int_bool ).
tff(func_def_40,type,
sK1: ( $int * map_int_int * $int ) > $int ).
tff(func_def_41,type,
sK2: $int ).
tff(func_def_42,type,
sK3: map_int_int ).
tff(func_def_43,type,
sK4: $int ).
tff(func_def_44,type,
sK5: $int ).
tff(func_def_45,type,
sK6: $int ).
tff(func_def_46,type,
sK7: map_int_bool ).
tff(func_def_47,type,
sK8: $int ).
tff(func_def_48,type,
sK9: $int ).
tff(func_def_49,type,
sK10: ( array_int * $int * $int ) > $int ).
tff(func_def_50,type,
sK11: ( array_int * $int * $int ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
appear_twice1: ( array_int * $int * $int ) > $o ).
tff(pred_def_5,type,
sP0: ( $int * map_int_int * $int * map_int_bool ) > $o ).
tff(f29549,plain,
$false,
inference(subsumption_resolution,[],[f29476,f29098]) ).
tff(f29098,plain,
$less(sK9,sK4),
inference(forward_demodulation,[],[f29075,f10283]) ).
tff(f10283,plain,
sK9 = tb2t(get(int,int,t2tb2(sK3),t2tb(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,sK2)))),
inference(forward_demodulation,[],[f10282,f7531]) ).
tff(f7531,plain,
! [X0: $int,X1: uni] : ( elts(int,mk_array1(int,X0,X1)) = X1 ),
inference(unit_resulting_resolution,[],[f242,f197]) ).
tff(f197,plain,
! [X2: uni,X0: ty,X1: $int] :
( ~ sort1(map(int,X0),X2)
| ( elts(X0,mk_array1(X0,X1,X2)) = X2 ) ),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
! [X0: ty,X1: $int,X2: uni] :
( ( elts(X0,mk_array1(X0,X1,X2)) = X2 )
| ~ sort1(map(int,X0),X2) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0: ty,X1: $int,X2: uni] :
( sort1(map(int,X0),X2)
=> ( elts(X0,mk_array1(X0,X1,X2)) = X2 ) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X0: ty,X6: $int,X13: uni] :
( sort1(map(int,X0),X13)
=> ( elts(X0,mk_array1(X0,X6,X13)) = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',elts_def1) ).
tff(f242,plain,
! [X0: uni] : sort1(map(int,int),X0),
inference(superposition,[],[f177,f174]) ).
tff(f174,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X15: uni] : ( t2tb2(tb2t2(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR2) ).
tff(f177,plain,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X1: map_int_int] : sort1(map(int,int),t2tb2(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort2) ).
tff(f10282,plain,
sK9 = tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,sK2)))),
inference(forward_demodulation,[],[f10281,f170]) ).
tff(f170,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f10281,plain,
sK9 = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,sK2)))),
inference(forward_demodulation,[],[f10274,f252]) ).
tff(f252,plain,
sK2 = $sum(2,sK4),
inference(superposition,[],[f51,f143]) ).
tff(f143,plain,
sK2 = $sum(sK4,2),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum(sK4,2))
& ( ! [X6: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X6,$sum($sum(sK4,1),1))
| ( sK6 = X6 )
| ~ $less(X6,sK4)
| $less(X6,0) )
| ( $uminus(1) != sK5 ) )
& ( ! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X7,$sum($sum(sK4,1),1))
| ~ $less(X7,sK4)
| $less(X7,0) )
| ( $uminus(1) != sK6 ) )
& ! [X8: $int] :
( ( ! [X9: $int] :
( ( tb2t(get(int,int,t2tb2(sK3),t2tb(X9))) != X8 )
| ~ $less(X9,$sum($sum(sK4,1),1))
| $less(X9,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(sK7),t2tb(X8))) ) )
| sP0(X8,sK3,sK4,sK7)
| ~ $less(X8,sK4)
| $less(X8,0) )
& ( ( ( sK5 != sK6 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK5,$sum($sum(sK4,1),1)) )
| ( $uminus(1) = sK5 ) )
& ( appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum($sum(sK4,1),1))
| ( $uminus(1) = sK6 ) )
& ( ( $uminus(1) = sK5 )
| ( $uminus(1) != sK6 ) )
& ~ $less($sum(sK4,1),0)
& ~ $less(sK4,0)
& ~ $less(sK4,0)
& ( sK8 != sK9 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,$sum(sK4,2))
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK8,$sum(sK4,2))
& ! [X12: $int] :
( ( $less(tb2t(get(int,int,t2tb2(sK3),t2tb(X12))),sK4)
& ~ $less(tb2t(get(int,int,t2tb2(sK3),t2tb(X12))),0) )
| ~ $less(X12,sK2)
| $less(X12,0) )
& ~ $less(sK4,2)
& ( sK2 = $sum(sK4,2) )
& ~ $less(sK2,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f127,f131,f130,f129,f128]) ).
tff(f128,plain,
( ? [X0: $int,X1: map_int_int,X2: $int] :
( ? [X3: $int,X4: $int,X5: map_int_bool] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2))
& ( ! [X6: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1))
| ( X4 = X6 )
| ~ $less(X6,X2)
| $less(X6,0) )
| ( $uminus(1) != X3 ) )
& ( ! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1))
| ~ $less(X7,X2)
| $less(X7,0) )
| ( $uminus(1) != X4 ) )
& ! [X8: $int] :
( ( ! [X9: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X9))) != X8 )
| ~ $less(X9,$sum($sum(X2,1),1))
| $less(X9,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X5),t2tb(X8))) ) )
| sP0(X8,X1,X2,X5)
| ~ $less(X8,X2)
| $less(X8,0) )
& ( ( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum($sum(X2,1),1)) )
| ( $uminus(1) = X3 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum($sum(X2,1),1))
| ( $uminus(1) = X4 ) )
& ( ( $uminus(1) = X3 )
| ( $uminus(1) != X4 ) ) )
& ~ $less($sum(X2,1),0)
& ~ $less(X2,0)
& ~ $less(X2,0)
& ? [X10: $int] :
( ? [X11: $int] :
( ( X10 != X11 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X11,$sum(X2,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum(X2,2)) )
& ! [X12: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X12))),X2)
& ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X12))),0) )
| ~ $less(X12,X0)
| $less(X12,0) )
& ~ $less(X2,2)
& ( $sum(X2,2) = X0 )
& ~ $less(X0,0) )
=> ( ? [X5: map_int_bool,X4: $int,X3: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X4,$sum(sK4,2))
& ( ! [X6: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X6,$sum($sum(sK4,1),1))
| ( X4 = X6 )
| ~ $less(X6,sK4)
| $less(X6,0) )
| ( $uminus(1) != X3 ) )
& ( ! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X7,$sum($sum(sK4,1),1))
| ~ $less(X7,sK4)
| $less(X7,0) )
| ( $uminus(1) != X4 ) )
& ! [X8: $int] :
( ( ! [X9: $int] :
( ( tb2t(get(int,int,t2tb2(sK3),t2tb(X9))) != X8 )
| ~ $less(X9,$sum($sum(sK4,1),1))
| $less(X9,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X5),t2tb(X8))) ) )
| sP0(X8,sK3,sK4,X5)
| ~ $less(X8,sK4)
| $less(X8,0) )
& ( ( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X3,$sum($sum(sK4,1),1)) )
| ( $uminus(1) = X3 ) )
& ( appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X4,$sum($sum(sK4,1),1))
| ( $uminus(1) = X4 ) )
& ( ( $uminus(1) = X3 )
| ( $uminus(1) != X4 ) ) )
& ~ $less($sum(sK4,1),0)
& ~ $less(sK4,0)
& ~ $less(sK4,0)
& ? [X10: $int] :
( ? [X11: $int] :
( ( X10 != X11 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X11,$sum(sK4,2)) )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X10,$sum(sK4,2)) )
& ! [X12: $int] :
( ( $less(tb2t(get(int,int,t2tb2(sK3),t2tb(X12))),sK4)
& ~ $less(tb2t(get(int,int,t2tb2(sK3),t2tb(X12))),0) )
| ~ $less(X12,sK2)
| $less(X12,0) )
& ~ $less(sK4,2)
& ( sK2 = $sum(sK4,2) )
& ~ $less(sK2,0) ) ),
introduced(choice_axiom,[]) ).
tff(f129,plain,
( ? [X5: map_int_bool,X4: $int,X3: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X4,$sum(sK4,2))
& ( ! [X6: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X6,$sum($sum(sK4,1),1))
| ( X4 = X6 )
| ~ $less(X6,sK4)
| $less(X6,0) )
| ( $uminus(1) != X3 ) )
& ( ! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X7,$sum($sum(sK4,1),1))
| ~ $less(X7,sK4)
| $less(X7,0) )
| ( $uminus(1) != X4 ) )
& ! [X8: $int] :
( ( ! [X9: $int] :
( ( tb2t(get(int,int,t2tb2(sK3),t2tb(X9))) != X8 )
| ~ $less(X9,$sum($sum(sK4,1),1))
| $less(X9,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X5),t2tb(X8))) ) )
| sP0(X8,sK3,sK4,X5)
| ~ $less(X8,sK4)
| $less(X8,0) )
& ( ( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X3,$sum($sum(sK4,1),1)) )
| ( $uminus(1) = X3 ) )
& ( appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X4,$sum($sum(sK4,1),1))
| ( $uminus(1) = X4 ) )
& ( ( $uminus(1) = X3 )
| ( $uminus(1) != X4 ) ) )
=> ( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum(sK4,2))
& ( ! [X6: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X6,$sum($sum(sK4,1),1))
| ( sK6 = X6 )
| ~ $less(X6,sK4)
| $less(X6,0) )
| ( $uminus(1) != sK5 ) )
& ( ! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X7,$sum($sum(sK4,1),1))
| ~ $less(X7,sK4)
| $less(X7,0) )
| ( $uminus(1) != sK6 ) )
& ! [X8: $int] :
( ( ! [X9: $int] :
( ( tb2t(get(int,int,t2tb2(sK3),t2tb(X9))) != X8 )
| ~ $less(X9,$sum($sum(sK4,1),1))
| $less(X9,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(sK7),t2tb(X8))) ) )
| sP0(X8,sK3,sK4,sK7)
| ~ $less(X8,sK4)
| $less(X8,0) )
& ( ( ( sK5 != sK6 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK5,$sum($sum(sK4,1),1)) )
| ( $uminus(1) = sK5 ) )
& ( appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum($sum(sK4,1),1))
| ( $uminus(1) = sK6 ) )
& ( ( $uminus(1) = sK5 )
| ( $uminus(1) != sK6 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f130,plain,
( ? [X10: $int] :
( ? [X11: $int] :
( ( X10 != X11 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X11,$sum(sK4,2)) )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X10,$sum(sK4,2)) )
=> ( ? [X11: $int] :
( ( sK8 != X11 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X11,$sum(sK4,2)) )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK8,$sum(sK4,2)) ) ),
introduced(choice_axiom,[]) ).
tff(f131,plain,
( ? [X11: $int] :
( ( sK8 != X11 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X11,$sum(sK4,2)) )
=> ( ( sK8 != sK9 )
& appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,$sum(sK4,2)) ) ),
introduced(choice_axiom,[]) ).
tff(f127,plain,
? [X0: $int,X1: map_int_int,X2: $int] :
( ? [X3: $int,X4: $int,X5: map_int_bool] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2))
& ( ! [X6: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1))
| ( X4 = X6 )
| ~ $less(X6,X2)
| $less(X6,0) )
| ( $uminus(1) != X3 ) )
& ( ! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1))
| ~ $less(X7,X2)
| $less(X7,0) )
| ( $uminus(1) != X4 ) )
& ! [X8: $int] :
( ( ! [X9: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X9))) != X8 )
| ~ $less(X9,$sum($sum(X2,1),1))
| $less(X9,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X5),t2tb(X8))) ) )
| sP0(X8,X1,X2,X5)
| ~ $less(X8,X2)
| $less(X8,0) )
& ( ( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum($sum(X2,1),1)) )
| ( $uminus(1) = X3 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum($sum(X2,1),1))
| ( $uminus(1) = X4 ) )
& ( ( $uminus(1) = X3 )
| ( $uminus(1) != X4 ) ) )
& ~ $less($sum(X2,1),0)
& ~ $less(X2,0)
& ~ $less(X2,0)
& ? [X10: $int] :
( ? [X11: $int] :
( ( X10 != X11 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X11,$sum(X2,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum(X2,2)) )
& ! [X12: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X12))),X2)
& ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X12))),0) )
| ~ $less(X12,X0)
| $less(X12,0) )
& ~ $less(X2,2)
& ( $sum(X2,2) = X0 )
& ~ $less(X0,0) ),
inference(rectify,[],[f122]) ).
tff(f122,plain,
? [X0: $int,X1: map_int_int,X2: $int] :
( ? [X6: $int,X7: $int,X8: map_int_bool] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum(X2,2))
& ( ! [X9: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,$sum($sum(X2,1),1))
| ( X7 = X9 )
| ~ $less(X9,X2)
| $less(X9,0) )
| ( $uminus(1) != X6 ) )
& ( ! [X10: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum($sum(X2,1),1))
| ~ $less(X10,X2)
| $less(X10,0) )
| ( $uminus(1) != X7 ) )
& ! [X11: $int] :
( ( ! [X12: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X12))) != X11 )
| ~ $less(X12,$sum($sum(X2,1),1))
| $less(X12,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
| sP0(X11,X1,X2,X8)
| ~ $less(X11,X2)
| $less(X11,0) )
& ( ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1)) )
| ( $uminus(1) = X6 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1))
| ( $uminus(1) = X7 ) )
& ( ( $uminus(1) = X6 )
| ( $uminus(1) != X7 ) ) )
& ~ $less($sum(X2,1),0)
& ~ $less(X2,0)
& ~ $less(X2,0)
& ? [X3: $int] :
( ? [X4: $int] :
( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum(X2,2)) )
& ! [X5: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),X2)
& ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),0) )
| ~ $less(X5,X0)
| $less(X5,0) )
& ~ $less(X2,2)
& ( $sum(X2,2) = X0 )
& ~ $less(X0,0) ),
inference(definition_folding,[],[f106,f121]) ).
tff(f121,plain,
! [X11: $int,X1: map_int_int,X2: $int,X8: map_int_bool] :
( ( ? [X13: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X13))) = X11 )
& $less(X13,$sum($sum(X2,1),1))
& ~ $less(X13,0) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
| ~ sP0(X11,X1,X2,X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f106,plain,
? [X0: $int,X1: map_int_int,X2: $int] :
( ? [X6: $int,X7: $int,X8: map_int_bool] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum(X2,2))
& ( ! [X9: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,$sum($sum(X2,1),1))
| ( X7 = X9 )
| ~ $less(X9,X2)
| $less(X9,0) )
| ( $uminus(1) != X6 ) )
& ( ! [X10: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum($sum(X2,1),1))
| ~ $less(X10,X2)
| $less(X10,0) )
| ( $uminus(1) != X7 ) )
& ! [X11: $int] :
( ( ! [X12: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X12))) != X11 )
| ~ $less(X12,$sum($sum(X2,1),1))
| $less(X12,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
| ( ? [X13: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X13))) = X11 )
& $less(X13,$sum($sum(X2,1),1))
& ~ $less(X13,0) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
| ~ $less(X11,X2)
| $less(X11,0) )
& ( ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1)) )
| ( $uminus(1) = X6 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1))
| ( $uminus(1) = X7 ) )
& ( ( $uminus(1) = X6 )
| ( $uminus(1) != X7 ) ) )
& ~ $less($sum(X2,1),0)
& ~ $less(X2,0)
& ~ $less(X2,0)
& ? [X3: $int] :
( ? [X4: $int] :
( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum(X2,2)) )
& ! [X5: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),X2)
& ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),0) )
| ~ $less(X5,X0)
| $less(X5,0) )
& ~ $less(X2,2)
& ( $sum(X2,2) = X0 )
& ~ $less(X0,0) ),
inference(flattening,[],[f105]) ).
tff(f105,plain,
? [X0: $int,X1: map_int_int,X2: $int] :
( ? [X6: $int,X7: $int,X8: map_int_bool] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum(X2,2))
& ( ! [X9: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,$sum($sum(X2,1),1))
| ( X7 = X9 )
| ~ $less(X9,X2)
| $less(X9,0) )
| ( $uminus(1) != X6 ) )
& ( ! [X10: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum($sum(X2,1),1))
| ~ $less(X10,X2)
| $less(X10,0) )
| ( $uminus(1) != X7 ) )
& ! [X11: $int] :
( ( ! [X12: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X12))) != X11 )
| ~ $less(X12,$sum($sum(X2,1),1))
| $less(X12,0) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
| ( ? [X13: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X13))) = X11 )
& $less(X13,$sum($sum(X2,1),1))
& ~ $less(X13,0) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
| ~ $less(X11,X2)
| $less(X11,0) )
& ( ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1)) )
| ( $uminus(1) = X6 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1))
| ( $uminus(1) = X7 ) )
& ( ( $uminus(1) = X6 )
| ( $uminus(1) != X7 ) ) )
& ~ $less($sum(X2,1),0)
& ~ $less(X2,0)
& ~ $less(X2,0)
& ? [X3: $int] :
( ? [X4: $int] :
( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum(X2,2)) )
& ! [X5: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),X2)
& ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),0) )
| ~ $less(X5,X0)
| $less(X5,0) )
& ~ $less(X2,2)
& ( $sum(X2,2) = X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f69]) ).
tff(f69,plain,
~ ! [X0: $int,X1: map_int_int,X2: $int] :
( ( ? [X3: $int] :
( ? [X4: $int] :
( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,$sum(X2,2)) )
& ! [X5: $int] :
( ( $less(X5,X0)
& ~ $less(X5,0) )
=> ( $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),X2)
& ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X5))),0) ) )
& ~ $less(X2,2)
& ( $sum(X2,2) = X0 )
& ~ $less(X0,0) )
=> ( ~ $less(X2,0)
=> ( ~ $less(X2,0)
=> ( ~ $less($sum(X2,1),0)
=> ! [X6: $int,X7: $int,X8: map_int_bool] :
( ( ( ( $uminus(1) = X6 )
=> ! [X9: $int] :
( ( $less(X9,X2)
& ~ $less(X9,0) )
=> ( ( X7 != X9 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,$sum($sum(X2,1),1)) ) ) )
& ( ( $uminus(1) = X7 )
=> ! [X10: $int] :
( ( $less(X10,X2)
& ~ $less(X10,0) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X10,$sum($sum(X2,1),1)) ) )
& ! [X11: $int] :
( ( $less(X11,X2)
& ~ $less(X11,0) )
=> ( ( ! [X12: $int] :
( ( $less(X12,$sum($sum(X2,1),1))
& ~ $less(X12,0) )
=> ( tb2t(get(int,int,t2tb2(X1),t2tb(X12))) != X11 ) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) )
| ( ? [X13: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X13))) = X11 )
& $less(X13,$sum($sum(X2,1),1))
& ~ $less(X13,0) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X11))) ) ) ) )
& ( ( $uminus(1) != X6 )
=> ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X6,$sum($sum(X2,1),1)) ) )
& ( ( $uminus(1) != X7 )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) )
& ( ( $uminus(1) = X7 )
=> ( $uminus(1) = X6 ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum(X2,2)) ) ) ) ) ),
inference(rectify,[],[f48]) ).
tff(f48,plain,
~ ! [X0: $int,X10: map_int_int,X17: $int] :
( ( ? [X18: $int] :
( ? [X19: $int] :
( ( X18 != X19 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum(X17,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) )
& ! [X14: $int] :
( ( $less(X14,X0)
& ~ $less(X14,0) )
=> ( $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),X17)
& ~ $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),0) ) )
& ~ $less(X17,2)
& ( $sum(X17,2) = X0 )
& ~ $less(X0,0) )
=> ( ~ $less(X17,0)
=> ( ~ $less(X17,0)
=> ( ~ $less($sum(X17,1),0)
=> ! [X19: $int,X18: $int,X20: map_int_bool] :
( ( ( ( $uminus(1) = X19 )
=> ! [X16: $int] :
( ( $less(X16,X17)
& ~ $less(X16,0) )
=> ( ( X16 != X18 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) ) )
& ( ( $uminus(1) = X18 )
=> ! [X16: $int] :
( ( $less(X16,X17)
& ~ $less(X16,0) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) )
& ! [X16: $int] :
( ( $less(X16,X17)
& ~ $less(X16,0) )
=> ( ( ! [X15: $int] :
( ( $less(X15,$sum($sum(X17,1),1))
& ~ $less(X15,0) )
=> ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) != X16 ) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) )
| ( ? [X15: $int] :
( ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) = X16 )
& $less(X15,$sum($sum(X17,1),1))
& ~ $less(X15,0) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) ) ) )
& ( ( $uminus(1) != X19 )
=> ( ( X18 != X19 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum($sum(X17,1),1)) ) )
& ( ( $uminus(1) != X18 )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum($sum(X17,1),1)) )
& ( ( $uminus(1) = X18 )
=> ( $uminus(1) = X19 ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) ) ) ) ) ),
inference(theory_normalization,[],[f47]) ).
tff(f47,negated_conjecture,
~ ! [X0: $int,X10: map_int_int,X17: $int] :
( ( ? [X18: $int] :
( ? [X19: $int] :
( ( X18 != X19 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum(X17,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) )
& ! [X14: $int] :
( ( $less(X14,X0)
& $lesseq(0,X14) )
=> ( $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),X17)
& $lesseq(0,tb2t(get(int,int,t2tb2(X10),t2tb(X14)))) ) )
& $lesseq(2,X17)
& ( $sum(X17,2) = X0 )
& $lesseq(0,X0) )
=> ( $lesseq(0,X17)
=> ( $lesseq(0,X17)
=> ( $lesseq(0,$sum(X17,1))
=> ! [X19: $int,X18: $int,X20: map_int_bool] :
( ( ( ( $uminus(1) = X19 )
=> ! [X16: $int] :
( ( $less(X16,X17)
& $lesseq(0,X16) )
=> ( ( X16 != X18 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) ) )
& ( ( $uminus(1) = X18 )
=> ! [X16: $int] :
( ( $less(X16,X17)
& $lesseq(0,X16) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) )
& ! [X16: $int] :
( ( $less(X16,X17)
& $lesseq(0,X16) )
=> ( ( ! [X15: $int] :
( ( $less(X15,$sum($sum(X17,1),1))
& $lesseq(0,X15) )
=> ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) != X16 ) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) )
| ( ? [X15: $int] :
( ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) = X16 )
& $less(X15,$sum($sum(X17,1),1))
& $lesseq(0,X15) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) ) ) )
& ( ( $uminus(1) != X19 )
=> ( ( X18 != X19 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum($sum(X17,1),1)) ) )
& ( ( $uminus(1) != X18 )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum($sum(X17,1),1)) )
& ( ( $uminus(1) = X18 )
=> ( $uminus(1) = X19 ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) ) ) ) ) ),
inference(negated_conjecture,[],[f46]) ).
tff(f46,conjecture,
! [X0: $int,X10: map_int_int,X17: $int] :
( ( ? [X18: $int] :
( ? [X19: $int] :
( ( X18 != X19 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum(X17,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) )
& ! [X14: $int] :
( ( $less(X14,X0)
& $lesseq(0,X14) )
=> ( $less(tb2t(get(int,int,t2tb2(X10),t2tb(X14))),X17)
& $lesseq(0,tb2t(get(int,int,t2tb2(X10),t2tb(X14)))) ) )
& $lesseq(2,X17)
& ( $sum(X17,2) = X0 )
& $lesseq(0,X0) )
=> ( $lesseq(0,X17)
=> ( $lesseq(0,X17)
=> ( $lesseq(0,$sum(X17,1))
=> ! [X19: $int,X18: $int,X20: map_int_bool] :
( ( ( ( $uminus(1) = X19 )
=> ! [X16: $int] :
( ( $less(X16,X17)
& $lesseq(0,X16) )
=> ( ( X16 != X18 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) ) )
& ( ( $uminus(1) = X18 )
=> ! [X16: $int] :
( ( $less(X16,X17)
& $lesseq(0,X16) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X16,$sum($sum(X17,1),1)) ) )
& ! [X16: $int] :
( ( $less(X16,X17)
& $lesseq(0,X16) )
=> ( ( ! [X15: $int] :
( ( $less(X15,$sum($sum(X17,1),1))
& $lesseq(0,X15) )
=> ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) != X16 ) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) )
| ( ? [X15: $int] :
( ( tb2t(get(int,int,t2tb2(X10),t2tb(X15))) = X16 )
& $less(X15,$sum($sum(X17,1),1))
& $lesseq(0,X15) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X20),t2tb(X16))) ) ) ) )
& ( ( $uminus(1) != X19 )
=> ( ( X18 != X19 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X19,$sum($sum(X17,1),1)) ) )
& ( ( $uminus(1) != X18 )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum($sum(X17,1),1)) )
& ( ( $uminus(1) = X18 )
=> ( $uminus(1) = X19 ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X10))),X18,$sum(X17,2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_two_equal_elements) ).
tff(f51,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f10274,plain,
sK9 = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,$sum(2,sK4))))),
inference(unit_resulting_resolution,[],[f236,f218]) ).
tff(f218,plain,
! [X2: $int,X0: array_int,X1: $int] :
( ~ appear_twice1(X0,X1,X2)
| ( tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK10(X0,X1,X2)))) = X1 ) ),
inference(definition_unfolding,[],[f200,f193]) ).
tff(f193,plain,
! [X2: $int,X0: ty,X1: uni] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
inference(cnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0: ty,X1: uni,X2: $int] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X0: ty,X10: uni,X14: $int] : ( get2(X0,X10,X14) = get(X0,int,elts(X0,X10),t2tb(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',get_def) ).
tff(f200,plain,
! [X2: $int,X0: array_int,X1: $int] :
( ( tb2t(get2(int,t2tb1(X0),sK10(X0,X1,X2))) = X1 )
| ~ appear_twice1(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
tff(f137,plain,
! [X0: array_int,X1: $int,X2: $int] :
( ( appear_twice1(X0,X1,X2)
| ! [X3: $int] :
( ! [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),X4)) != X1 )
| ( X3 = X4 )
| ~ $less(X4,X2)
| $less(X4,0) )
| ( tb2t(get2(int,t2tb1(X0),X3)) != X1 )
| ~ $less(X3,X2)
| $less(X3,0) ) )
& ( ( ( tb2t(get2(int,t2tb1(X0),sK11(X0,X1,X2))) = X1 )
& ( sK10(X0,X1,X2) != sK11(X0,X1,X2) )
& $less(sK11(X0,X1,X2),X2)
& ~ $less(sK11(X0,X1,X2),0)
& ( tb2t(get2(int,t2tb1(X0),sK10(X0,X1,X2))) = X1 )
& $less(sK10(X0,X1,X2),X2)
& ~ $less(sK10(X0,X1,X2),0) )
| ~ appear_twice1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f134,f136,f135]) ).
tff(f135,plain,
! [X0: array_int,X1: $int,X2: $int] :
( ? [X5: $int] :
( ? [X6: $int] :
( ( tb2t(get2(int,t2tb1(X0),X6)) = X1 )
& ( X5 != X6 )
& $less(X6,X2)
& ~ $less(X6,0) )
& ( tb2t(get2(int,t2tb1(X0),X5)) = X1 )
& $less(X5,X2)
& ~ $less(X5,0) )
=> ( ? [X6: $int] :
( ( tb2t(get2(int,t2tb1(X0),X6)) = X1 )
& ( sK10(X0,X1,X2) != X6 )
& $less(X6,X2)
& ~ $less(X6,0) )
& ( tb2t(get2(int,t2tb1(X0),sK10(X0,X1,X2))) = X1 )
& $less(sK10(X0,X1,X2),X2)
& ~ $less(sK10(X0,X1,X2),0) ) ),
introduced(choice_axiom,[]) ).
tff(f136,plain,
! [X0: array_int,X1: $int,X2: $int] :
( ? [X6: $int] :
( ( tb2t(get2(int,t2tb1(X0),X6)) = X1 )
& ( sK10(X0,X1,X2) != X6 )
& $less(X6,X2)
& ~ $less(X6,0) )
=> ( ( tb2t(get2(int,t2tb1(X0),sK11(X0,X1,X2))) = X1 )
& ( sK10(X0,X1,X2) != sK11(X0,X1,X2) )
& $less(sK11(X0,X1,X2),X2)
& ~ $less(sK11(X0,X1,X2),0) ) ),
introduced(choice_axiom,[]) ).
tff(f134,plain,
! [X0: array_int,X1: $int,X2: $int] :
( ( appear_twice1(X0,X1,X2)
| ! [X3: $int] :
( ! [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),X4)) != X1 )
| ( X3 = X4 )
| ~ $less(X4,X2)
| $less(X4,0) )
| ( tb2t(get2(int,t2tb1(X0),X3)) != X1 )
| ~ $less(X3,X2)
| $less(X3,0) ) )
& ( ? [X5: $int] :
( ? [X6: $int] :
( ( tb2t(get2(int,t2tb1(X0),X6)) = X1 )
& ( X5 != X6 )
& $less(X6,X2)
& ~ $less(X6,0) )
& ( tb2t(get2(int,t2tb1(X0),X5)) = X1 )
& $less(X5,X2)
& ~ $less(X5,0) )
| ~ appear_twice1(X0,X1,X2) ) ),
inference(rectify,[],[f133]) ).
tff(f133,plain,
! [X0: array_int,X1: $int,X2: $int] :
( ( appear_twice1(X0,X1,X2)
| ! [X3: $int] :
( ! [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),X4)) != X1 )
| ( X3 = X4 )
| ~ $less(X4,X2)
| $less(X4,0) )
| ( tb2t(get2(int,t2tb1(X0),X3)) != X1 )
| ~ $less(X3,X2)
| $less(X3,0) ) )
& ( ? [X3: $int] :
( ? [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),X4)) = X1 )
& ( X3 != X4 )
& $less(X4,X2)
& ~ $less(X4,0) )
& ( tb2t(get2(int,t2tb1(X0),X3)) = X1 )
& $less(X3,X2)
& ~ $less(X3,0) )
| ~ appear_twice1(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0: array_int,X1: $int,X2: $int] :
( appear_twice1(X0,X1,X2)
<=> ? [X3: $int] :
( ? [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),X4)) = X1 )
& ( X3 != X4 )
& $less(X4,X2)
& ~ $less(X4,0) )
& ( tb2t(get2(int,t2tb1(X0),X3)) = X1 )
& $less(X3,X2)
& ~ $less(X3,0) ) ),
inference(rectify,[],[f50]) ).
tff(f50,plain,
! [X0: array_int,X16: $int,X6: $int] :
( appear_twice1(X0,X16,X6)
<=> ? [X14: $int] :
( ? [X15: $int] :
( ( tb2t(get2(int,t2tb1(X0),X15)) = X16 )
& ( X14 != X15 )
& $less(X15,X6)
& ~ $less(X15,0) )
& ( tb2t(get2(int,t2tb1(X0),X14)) = X16 )
& $less(X14,X6)
& ~ $less(X14,0) ) ),
inference(theory_normalization,[],[f36]) ).
tff(f36,axiom,
! [X0: array_int,X16: $int,X6: $int] :
( appear_twice1(X0,X16,X6)
<=> ? [X14: $int] :
( ? [X15: $int] :
( ( tb2t(get2(int,t2tb1(X0),X15)) = X16 )
& ( X14 != X15 )
& $less(X15,X6)
& $lesseq(0,X15) )
& ( tb2t(get2(int,t2tb1(X0),X14)) = X16 )
& $less(X14,X6)
& $lesseq(0,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',appear_twice_def) ).
tff(f236,plain,
appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,$sum(2,sK4)),
inference(forward_demodulation,[],[f148,f51]) ).
tff(f148,plain,
appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,$sum(sK4,2)),
inference(cnf_transformation,[],[f132]) ).
tff(f29075,plain,
$less(tb2t(get(int,int,t2tb2(sK3),t2tb(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,sK2)))),sK4),
inference(unit_resulting_resolution,[],[f3459,f3460,f146]) ).
tff(f146,plain,
! [X12: $int] :
( ~ $less(X12,sK2)
| $less(tb2t(get(int,int,t2tb2(sK3),t2tb(X12))),sK4)
| $less(X12,0) ),
inference(cnf_transformation,[],[f132]) ).
tff(f3460,plain,
$less(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,sK2),sK2),
inference(forward_demodulation,[],[f3452,f252]) ).
tff(f3452,plain,
$less(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,$sum(2,sK4)),$sum(2,sK4)),
inference(unit_resulting_resolution,[],[f236,f199]) ).
tff(f199,plain,
! [X2: $int,X0: array_int,X1: $int] :
( ~ appear_twice1(X0,X1,X2)
| $less(sK10(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f137]) ).
tff(f3459,plain,
~ $less(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,sK2),0),
inference(forward_demodulation,[],[f3453,f252]) ).
tff(f3453,plain,
~ $less(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,$sum(2,sK4)),0),
inference(unit_resulting_resolution,[],[f236,f198]) ).
tff(f198,plain,
! [X2: $int,X0: array_int,X1: $int] :
( ~ appear_twice1(X0,X1,X2)
| ~ $less(sK10(X0,X1,X2),0) ),
inference(cnf_transformation,[],[f137]) ).
tff(f29476,plain,
~ $less(sK9,sK4),
inference(unit_resulting_resolution,[],[f233,f236,f29097,f229]) ).
tff(f229,plain,
! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X7,$sum(2,sK4))
| ~ $less(X7,sK4)
| $less(X7,0)
| ( sK6 != -1 ) ),
inference(evaluation,[],[f159]) ).
tff(f159,plain,
! [X7: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),X7,$sum($sum(sK4,1),1))
| ~ $less(X7,sK4)
| $less(X7,0)
| ( $uminus(1) != sK6 ) ),
inference(cnf_transformation,[],[f132]) ).
tff(f29097,plain,
~ $less(sK9,0),
inference(forward_demodulation,[],[f29076,f10283]) ).
tff(f29076,plain,
~ $less(tb2t(get(int,int,t2tb2(sK3),t2tb(sK10(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK9,sK2)))),0),
inference(unit_resulting_resolution,[],[f3459,f3460,f145]) ).
tff(f145,plain,
! [X12: $int] :
( ~ $less(tb2t(get(int,int,t2tb2(sK3),t2tb(X12))),0)
| ~ $less(X12,sK2)
| $less(X12,0) ),
inference(cnf_transformation,[],[f132]) ).
tff(f233,plain,
sK6 = -1,
inference(subsumption_resolution,[],[f225,f232]) ).
tff(f232,plain,
~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum(2,sK4)),
inference(forward_demodulation,[],[f161,f51]) ).
tff(f161,plain,
~ appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum(sK4,2)),
inference(cnf_transformation,[],[f132]) ).
tff(f225,plain,
( appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum(2,sK4))
| ( sK6 = -1 ) ),
inference(evaluation,[],[f154]) ).
tff(f154,plain,
( appear_twice1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK6,$sum($sum(sK4,1),1))
| ( $uminus(1) = sK6 ) ),
inference(cnf_transformation,[],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW599_2 : TPTP v8.2.0. Released v6.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 19:10:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (9363)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (9368)WARNING: value z3 for option sas not known
% 0.13/0.38 % (9366)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (9367)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (9369)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (9368)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (9370)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (9372)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (9373)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (9367)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (9367)Terminated due to inappropriate strategy.
% 0.13/0.38 % (9367)------------------------------
% 0.13/0.38 % (9367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (9367)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (9367)Memory used [KB]: 911
% 0.13/0.38 % (9367)Time elapsed: 0.005 s
% 0.13/0.38 % (9367)Instructions burned: 8 (million)
% 0.13/0.38 % (9366)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (9366)Terminated due to inappropriate strategy.
% 0.13/0.38 % (9366)------------------------------
% 0.13/0.38 % (9366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (9366)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (9366)Memory used [KB]: 910
% 0.13/0.38 % (9366)Time elapsed: 0.005 s
% 0.13/0.38 % (9366)Instructions burned: 8 (million)
% 0.13/0.38 % (9369)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (9369)Terminated due to inappropriate strategy.
% 0.13/0.38 % (9369)------------------------------
% 0.13/0.38 % (9369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (9369)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (9369)Memory used [KB]: 912
% 0.13/0.38 % (9369)Time elapsed: 0.005 s
% 0.13/0.38 % (9369)Instructions burned: 8 (million)
% 0.13/0.38 % (9367)------------------------------
% 0.13/0.38 % (9367)------------------------------
% 0.13/0.38 % (9366)------------------------------
% 0.13/0.38 % (9366)------------------------------
% 0.13/0.38 % (9369)------------------------------
% 0.13/0.38 % (9369)------------------------------
% 0.13/0.40 % (9382)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.40 % (9383)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.40 % (9384)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.13/0.40 % (9382)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.40 % (9382)Terminated due to inappropriate strategy.
% 0.13/0.40 % (9382)------------------------------
% 0.13/0.40 % (9382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (9382)Termination reason: Inappropriate
% 0.13/0.40
% 0.13/0.40 % (9382)Memory used [KB]: 903
% 0.13/0.40 % (9382)Time elapsed: 0.005 s
% 0.13/0.40 % (9382)Instructions burned: 8 (million)
% 0.13/0.40 % (9382)------------------------------
% 0.13/0.40 % (9382)------------------------------
% 0.21/0.42 % (9391)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 4.15/0.98 % (9383)First to succeed.
% 4.15/0.98 % (9383)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9363"
% 4.15/0.98 % (9383)Refutation found. Thanks to Tanya!
% 4.15/0.98 % SZS status Theorem for theBenchmark
% 4.15/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/0.98 % (9383)------------------------------
% 4.15/0.98 % (9383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.15/0.98 % (9383)Termination reason: Refutation
% 4.15/0.98
% 4.15/0.98 % (9383)Memory used [KB]: 9916
% 4.15/0.98 % (9383)Time elapsed: 0.580 s
% 4.15/0.98 % (9383)Instructions burned: 1634 (million)
% 4.15/0.98 % (9363)Success in time 0.613 s
%------------------------------------------------------------------------------