TSTP Solution File: SWW634_2 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW634_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% 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 : Mon Jun 24 18:53:54 EDT 2024
% Result : Theorem 3.53s 1.09s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 101 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 502 ( 78 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 615 ( 214 ~; 169 |; 155 &)
% ( 40 <=>; 35 =>; 0 <=; 2 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 525 ( 179 atm; 92 fun; 156 num; 98 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 16 usr; 8 prp; 0-4 aty)
% Number of functors : 68 ( 64 usr; 21 con; 0-5 aty)
% Number of variables : 176 ( 144 !; 32 ?; 176 :)
% 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,
set_int: $tType ).
tff(type_def_10,type,
map_int_int: $tType ).
tff(type_def_11,type,
map_int_lpmap_int_intrp: $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,
set: ty > ty ).
tff(func_def_13,type,
empty: ty > uni ).
tff(func_def_14,type,
add: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
remove: ( ty * uni * uni ) > uni ).
tff(func_def_16,type,
union: ( ty * uni * uni ) > uni ).
tff(func_def_17,type,
inter: ( ty * uni * uni ) > uni ).
tff(func_def_18,type,
diff: ( ty * uni * uni ) > uni ).
tff(func_def_19,type,
choose: ( ty * uni ) > uni ).
tff(func_def_20,type,
cardinal1: ( ty * uni ) > $int ).
tff(func_def_23,type,
min_elt1: set_int > $int ).
tff(func_def_24,type,
t2tb: set_int > uni ).
tff(func_def_25,type,
tb2t: uni > set_int ).
tff(func_def_26,type,
t2tb1: $int > uni ).
tff(func_def_27,type,
tb2t1: uni > $int ).
tff(func_def_28,type,
max_elt1: set_int > $int ).
tff(func_def_29,type,
below1: $int > set_int ).
tff(func_def_30,type,
succ1: set_int > set_int ).
tff(func_def_32,type,
pred1: set_int > set_int ).
tff(func_def_33,type,
ref: ty > ty ).
tff(func_def_34,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_35,type,
contents: ( ty * uni ) > uni ).
tff(func_def_36,type,
map: ( ty * ty ) > ty ).
tff(func_def_37,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_38,type,
set1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_39,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_40,type,
n1: $int ).
tff(func_def_41,type,
t2tb2: map_int_int > uni ).
tff(func_def_42,type,
tb2t2: uni > map_int_int ).
tff(func_def_43,type,
t2tb3: map_int_lpmap_int_intrp > uni ).
tff(func_def_44,type,
tb2t3: uni > map_int_lpmap_int_intrp ).
tff(func_def_46,type,
sK0: $int ).
tff(func_def_47,type,
sK1: $int ).
tff(func_def_48,type,
sK2: map_int_lpmap_int_intrp ).
tff(func_def_49,type,
sK3: $int ).
tff(func_def_50,type,
sK4: map_int_int ).
tff(func_def_51,type,
sK5: $int ).
tff(func_def_52,type,
sK6: map_int_lpmap_int_intrp ).
tff(func_def_53,type,
sK7: $int ).
tff(func_def_54,type,
sK8: map_int_int ).
tff(func_def_55,type,
sK9: $int > $int ).
tff(func_def_56,type,
sK10: $int > $int ).
tff(func_def_57,type,
sK11: $int > $int ).
tff(func_def_58,type,
sK12: map_int_int ).
tff(func_def_59,type,
sK13: map_int_int > $int ).
tff(func_def_60,type,
sK14: $int ).
tff(func_def_61,type,
sK15: ( ty * uni ) > uni ).
tff(func_def_62,type,
sK16: ( map_int_int * map_int_int ) > $int ).
tff(func_def_63,type,
sK17: ( $int * map_int_int ) > $int ).
tff(func_def_64,type,
sK18: ( $int * map_int_int ) > $int ).
tff(func_def_65,type,
sK19: ( ty * uni * uni ) > uni ).
tff(func_def_66,type,
sK20: ( ty * uni * uni ) > uni ).
tff(func_def_67,type,
sK21: ( map_int_lpmap_int_intrp * $int * $int ) > $int ).
tff(func_def_68,type,
sK22: ( map_int_lpmap_int_intrp * $int * $int ) > $int ).
tff(func_def_69,type,
sK23: ( ty * uni * uni * $int ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_4,type,
infix_eqeq: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
subset: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
is_empty: ( ty * uni ) > $o ).
tff(pred_def_8,type,
eq_prefix1: ( ty * uni * uni * $int ) > $o ).
tff(pred_def_9,type,
partial_solution1: ( $int * map_int_int ) > $o ).
tff(pred_def_10,type,
lt_sol1: ( map_int_int * map_int_int ) > $o ).
tff(pred_def_11,type,
sorted1: ( map_int_lpmap_int_intrp * $int * $int ) > $o ).
tff(f8719,plain,
$false,
inference(avatar_sat_refutation,[],[f448,f4292,f4308,f4334,f6966,f8556,f8692,f8714]) ).
tff(f8714,plain,
( ~ spl24_1
| spl24_12
| ~ spl24_13 ),
inference(avatar_contradiction_clause,[],[f8713]) ).
tff(f8713,plain,
( $false
| ~ spl24_1
| spl24_12
| ~ spl24_13 ),
inference(subsumption_resolution,[],[f8712,f443]) ).
tff(f443,plain,
( partial_solution1(sK0,sK12)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f441]) ).
tff(f441,plain,
( spl24_1
<=> partial_solution1(sK0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
tff(f8712,plain,
( ~ partial_solution1(sK0,sK12)
| spl24_12
| ~ spl24_13 ),
inference(forward_demodulation,[],[f8711,f264]) ).
tff(f264,plain,
! [X0: map_int_int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: map_int_int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(rectify,[],[f66]) ).
tff(f66,axiom,
! [X12: map_int_int] : ( tb2t2(t2tb2(X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f8711,plain,
( ~ partial_solution1(sK0,tb2t2(t2tb2(sK12)))
| spl24_12
| ~ spl24_13 ),
inference(subsumption_resolution,[],[f8710,f6961]) ).
tff(f6961,plain,
( ~ $less(sK13(sK12),sK5)
| spl24_12 ),
inference(avatar_component_clause,[],[f6959]) ).
tff(f6959,plain,
( spl24_12
<=> $less(sK13(sK12),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).
tff(f8710,plain,
( $less(sK13(sK12),sK5)
| ~ partial_solution1(sK0,tb2t2(t2tb2(sK12)))
| ~ spl24_13 ),
inference(forward_demodulation,[],[f8699,f264]) ).
tff(f8699,plain,
( $less(sK13(tb2t2(t2tb2(sK12))),sK5)
| ~ partial_solution1(sK0,tb2t2(t2tb2(sK12)))
| ~ spl24_13 ),
inference(resolution,[],[f6964,f4300]) ).
tff(f4300,plain,
! [X0: uni] :
( ~ eq_prefix1(int,t2tb2(sK8),X0,0)
| $less(sK13(tb2t2(X0)),sK5)
| ~ partial_solution1(sK0,tb2t2(X0)) ),
inference(superposition,[],[f4278,f268]) ).
tff(f268,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f67]) ).
tff(f67,axiom,
! [X13: uni] : ( t2tb2(tb2t2(X13)) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f4278,plain,
! [X15: map_int_int] :
( ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),0)
| $less(sK13(X15),sK5)
| ~ partial_solution1(sK0,X15) ),
inference(forward_demodulation,[],[f399,f385]) ).
tff(f385,plain,
0 = sK7,
inference(definition_unfolding,[],[f245,f252]) ).
tff(f252,plain,
0 = sK3,
inference(cnf_transformation,[],[f174]) ).
tff(f174,plain,
? [X0: $int,X1: $int,X2: map_int_lpmap_int_intrp,X3: $int,X4: map_int_int] :
( ? [X11: $int,X12: map_int_lpmap_int_intrp,X13: $int,X14: map_int_int] :
( ( ? [X17: map_int_int] :
( partial_solution1(n1,X17)
<~> ? [X18: $int] :
( eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1)
& $less(X18,$sum(X11,$uminus(X1)))
& ~ $less(X18,0) ) )
| ~ sorted1(X12,0,X11)
| ( $sum(X11,$uminus(X1)) != X11 ) )
& eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1)
& eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13)
& ! [X15: map_int_int] :
( ( eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13)
& partial_solution1(n1,X15) )
<=> ? [X16: $int] :
( eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1)
& $less(X16,X11)
& ~ $less(X16,X1) ) )
& sorted1(X12,X1,X11)
& ( X3 = X13 )
& ~ $less($sum(X11,$uminus(X1)),0) )
& partial_solution1(X3,X4)
& ! [X5: $int] :
( ( ~ mem(int,t2tb1(X5),empty(int))
<=> ! [X6: $int] :
( ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) )
| ~ $less(X6,X3)
| $less(X6,0) ) )
| $less(X5,0) )
& ! [X7: $int] :
( ( ~ mem(int,t2tb1(X7),empty(int))
<=> ! [X8: $int] :
( ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) )
| ~ $less(X8,X3)
| $less(X8,0) ) )
| $less(X7,0) )
& ! [X9: $int] :
( mem(int,t2tb1(X9),t2tb(below1(X0)))
<=> ( ! [X10: $int] :
( ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 )
| ~ $less(X10,X3)
| $less(X10,0) )
& $less(X9,n1)
& ~ $less(X9,0) ) )
& ~ $less(X1,0)
& ( n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) )
& ~ $less(X3,0)
& ( 0 = X3 )
& ( 0 = X1 )
& ( n1 = X0 )
& ~ $less(X0,0) ),
inference(flattening,[],[f173]) ).
tff(f173,plain,
? [X0: $int,X1: $int,X2: map_int_lpmap_int_intrp,X3: $int,X4: map_int_int] :
( ? [X11: $int,X12: map_int_lpmap_int_intrp,X13: $int,X14: map_int_int] :
( ( ? [X17: map_int_int] :
( partial_solution1(n1,X17)
<~> ? [X18: $int] :
( eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1)
& $less(X18,$sum(X11,$uminus(X1)))
& ~ $less(X18,0) ) )
| ~ sorted1(X12,0,X11)
| ( $sum(X11,$uminus(X1)) != X11 ) )
& eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1)
& eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13)
& ! [X15: map_int_int] :
( ( eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13)
& partial_solution1(n1,X15) )
<=> ? [X16: $int] :
( eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1)
& $less(X16,X11)
& ~ $less(X16,X1) ) )
& sorted1(X12,X1,X11)
& ( X3 = X13 )
& ~ $less($sum(X11,$uminus(X1)),0) )
& partial_solution1(X3,X4)
& ! [X5: $int] :
( ( ~ mem(int,t2tb1(X5),empty(int))
<=> ! [X6: $int] :
( ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) )
| ~ $less(X6,X3)
| $less(X6,0) ) )
| $less(X5,0) )
& ! [X7: $int] :
( ( ~ mem(int,t2tb1(X7),empty(int))
<=> ! [X8: $int] :
( ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) )
| ~ $less(X8,X3)
| $less(X8,0) ) )
| $less(X7,0) )
& ! [X9: $int] :
( mem(int,t2tb1(X9),t2tb(below1(X0)))
<=> ( ! [X10: $int] :
( ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 )
| ~ $less(X10,X3)
| $less(X10,0) )
& $less(X9,n1)
& ~ $less(X9,0) ) )
& ~ $less(X1,0)
& ( n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) )
& ~ $less(X3,0)
& ( 0 = X3 )
& ( 0 = X1 )
& ( n1 = X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f111]) ).
tff(f111,plain,
~ ! [X0: $int,X1: $int,X2: map_int_lpmap_int_intrp,X3: $int,X4: map_int_int] :
( ( ( 0 = X3 )
& ( 0 = X1 )
& ( n1 = X0 )
& ~ $less(X0,0) )
=> ( ( partial_solution1(X3,X4)
& ! [X5: $int] :
( ~ $less(X5,0)
=> ( ~ mem(int,t2tb1(X5),empty(int))
<=> ! [X6: $int] :
( ( $less(X6,X3)
& ~ $less(X6,0) )
=> ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) ) ) ) )
& ! [X7: $int] :
( ~ $less(X7,0)
=> ( ~ mem(int,t2tb1(X7),empty(int))
<=> ! [X8: $int] :
( ( $less(X8,X3)
& ~ $less(X8,0) )
=> ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) ) ) ) )
& ! [X9: $int] :
( mem(int,t2tb1(X9),t2tb(below1(X0)))
<=> ( ! [X10: $int] :
( ( $less(X10,X3)
& ~ $less(X10,0) )
=> ( tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 ) )
& $less(X9,n1)
& ~ $less(X9,0) ) )
& ~ $less(X1,0)
& ( n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) )
& ~ $less(X3,0) )
=> ! [X11: $int,X12: map_int_lpmap_int_intrp,X13: $int,X14: map_int_int] :
( ( eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1)
& eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13)
& ! [X15: map_int_int] :
( ( eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13)
& partial_solution1(n1,X15) )
<=> ? [X16: $int] :
( eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1)
& $less(X16,X11)
& ~ $less(X16,X1) ) )
& sorted1(X12,X1,X11)
& ( X3 = X13 )
& ~ $less($sum(X11,$uminus(X1)),0) )
=> ( ! [X17: map_int_int] :
( partial_solution1(n1,X17)
<=> ? [X18: $int] :
( eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1)
& $less(X18,$sum(X11,$uminus(X1)))
& ~ $less(X18,0) ) )
& sorted1(X12,0,X11)
& ( $sum(X11,$uminus(X1)) = X11 ) ) ) ) ),
inference(rectify,[],[f78]) ).
tff(f78,plain,
~ ! [X22: $int,X10: $int,X23: map_int_lpmap_int_intrp,X21: $int,X24: map_int_int] :
( ( ( 0 = X21 )
& ( 0 = X10 )
& ( n1 = X22 )
& ~ $less(X22,0) )
=> ( ( partial_solution1(X21,X24)
& ! [X12: $int] :
( ~ $less(X12,0)
=> ( ~ mem(int,t2tb1(X12),empty(int))
<=> ! [X13: $int] :
( ( $less(X13,X21)
& ~ $less(X13,0) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $sum($sum(X12,X21),$uminus(X13)) ) ) ) )
& ! [X12: $int] :
( ~ $less(X12,0)
=> ( ~ mem(int,t2tb1(X12),empty(int))
<=> ! [X13: $int] :
( ( $less(X13,X21)
& ~ $less(X13,0) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $sum($sum(X12,X13),$uminus(X21)) ) ) ) )
& ! [X12: $int] :
( mem(int,t2tb1(X12),t2tb(below1(X22)))
<=> ( ! [X13: $int] :
( ( $less(X13,X21)
& ~ $less(X13,0) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12 ) )
& $less(X12,n1)
& ~ $less(X12,0) ) )
& ~ $less(X10,0)
& ( n1 = $sum(X21,cardinal1(int,t2tb(below1(X22)))) )
& ~ $less(X21,0) )
=> ! [X8: $int,X25: map_int_lpmap_int_intrp,X26: $int,X27: map_int_int] :
( ( eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X10)
& eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26)
& ! [X20: map_int_int] :
( ( eq_prefix1(int,t2tb2(X27),t2tb2(X20),X26)
& partial_solution1(n1,X20) )
<=> ? [X12: $int] :
( eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1)
& $less(X12,X8)
& ~ $less(X12,X10) ) )
& sorted1(X25,X10,X8)
& ( X21 = X26 )
& ~ $less($sum(X8,$uminus(X10)),0) )
=> ( ! [X20: map_int_int] :
( partial_solution1(n1,X20)
<=> ? [X12: $int] :
( eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1)
& $less(X12,$sum(X8,$uminus(X10)))
& ~ $less(X12,0) ) )
& sorted1(X25,0,X8)
& ( $sum(X8,$uminus(X10)) = X8 ) ) ) ) ),
inference(theory_normalization,[],[f77]) ).
tff(f77,negated_conjecture,
~ ! [X22: $int,X10: $int,X23: map_int_lpmap_int_intrp,X21: $int,X24: map_int_int] :
( ( ( 0 = X21 )
& ( 0 = X10 )
& ( n1 = X22 )
& $lesseq(0,X22) )
=> ( ( partial_solution1(X21,X24)
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ~ mem(int,t2tb1(X12),empty(int))
<=> ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X21),X13) ) ) ) )
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ~ mem(int,t2tb1(X12),empty(int))
<=> ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X13),X21) ) ) ) )
& ! [X12: $int] :
( mem(int,t2tb1(X12),t2tb(below1(X22)))
<=> ( ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12 ) )
& $less(X12,n1)
& $lesseq(0,X12) ) )
& $lesseq(0,X10)
& ( n1 = $sum(X21,cardinal1(int,t2tb(below1(X22)))) )
& $lesseq(0,X21) )
=> ! [X8: $int,X25: map_int_lpmap_int_intrp,X26: $int,X27: map_int_int] :
( ( eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X10)
& eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26)
& ! [X20: map_int_int] :
( ( eq_prefix1(int,t2tb2(X27),t2tb2(X20),X26)
& partial_solution1(n1,X20) )
<=> ? [X12: $int] :
( eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1)
& $less(X12,X8)
& $lesseq(X10,X12) ) )
& sorted1(X25,X10,X8)
& ( X21 = X26 )
& $lesseq(0,$difference(X8,X10)) )
=> ( ! [X20: map_int_int] :
( partial_solution1(n1,X20)
<=> ? [X12: $int] :
( eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1)
& $less(X12,$difference(X8,X10))
& $lesseq(0,X12) ) )
& sorted1(X25,0,X8)
& ( $difference(X8,X10) = X8 ) ) ) ) ),
inference(negated_conjecture,[],[f76]) ).
tff(f76,conjecture,
! [X22: $int,X10: $int,X23: map_int_lpmap_int_intrp,X21: $int,X24: map_int_int] :
( ( ( 0 = X21 )
& ( 0 = X10 )
& ( n1 = X22 )
& $lesseq(0,X22) )
=> ( ( partial_solution1(X21,X24)
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ~ mem(int,t2tb1(X12),empty(int))
<=> ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X21),X13) ) ) ) )
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ~ mem(int,t2tb1(X12),empty(int))
<=> ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X13),X21) ) ) ) )
& ! [X12: $int] :
( mem(int,t2tb1(X12),t2tb(below1(X22)))
<=> ( ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12 ) )
& $less(X12,n1)
& $lesseq(0,X12) ) )
& $lesseq(0,X10)
& ( n1 = $sum(X21,cardinal1(int,t2tb(below1(X22)))) )
& $lesseq(0,X21) )
=> ! [X8: $int,X25: map_int_lpmap_int_intrp,X26: $int,X27: map_int_int] :
( ( eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X10)
& eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26)
& ! [X20: map_int_int] :
( ( eq_prefix1(int,t2tb2(X27),t2tb2(X20),X26)
& partial_solution1(n1,X20) )
<=> ? [X12: $int] :
( eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1)
& $less(X12,X8)
& $lesseq(X10,X12) ) )
& sorted1(X25,X10,X8)
& ( X21 = X26 )
& $lesseq(0,$difference(X8,X10)) )
=> ( ! [X20: map_int_int] :
( partial_solution1(n1,X20)
<=> ? [X12: $int] :
( eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1)
& $less(X12,$difference(X8,X10))
& $lesseq(0,X12) ) )
& sorted1(X25,0,X8)
& ( $difference(X8,X10) = X8 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f245,plain,
sK3 = sK7,
inference(cnf_transformation,[],[f174]) ).
tff(f399,plain,
! [X15: map_int_int] :
( $less(sK13(X15),sK5)
| ~ partial_solution1(sK0,X15)
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),sK7) ),
inference(definition_unfolding,[],[f228,f250]) ).
tff(f250,plain,
n1 = sK0,
inference(cnf_transformation,[],[f174]) ).
tff(f228,plain,
! [X15: map_int_int] :
( $less(sK13(X15),sK5)
| ~ partial_solution1(n1,X15)
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),sK7) ),
inference(cnf_transformation,[],[f174]) ).
tff(f6964,plain,
( eq_prefix1(int,t2tb2(sK8),t2tb2(sK12),0)
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f6963]) ).
tff(f6963,plain,
( spl24_13
<=> eq_prefix1(int,t2tb2(sK8),t2tb2(sK12),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
tff(f8692,plain,
spl24_13,
inference(avatar_contradiction_clause,[],[f8691]) ).
tff(f8691,plain,
( $false
| spl24_13 ),
inference(global_subsumption,[],[f8689,f8690]) ).
tff(f8690,plain,
( ~ $less(sK23(int,t2tb2(sK8),t2tb2(sK12),0),0)
| spl24_13 ),
inference(resolution,[],[f6965,f364]) ).
tff(f364,plain,
! [X2: uni,X3: $int,X0: ty,X1: uni] :
( eq_prefix1(X0,X1,X2,X3)
| ~ $less(sK23(X0,X1,X2,X3),0) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: ty,X1: uni,X2: uni,X3: $int] :
( eq_prefix1(X0,X1,X2,X3)
<=> ! [X4: $int] :
( ( get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) )
| ~ $less(X4,X3)
| $less(X4,0) ) ),
inference(flattening,[],[f215]) ).
tff(f215,plain,
! [X0: ty,X1: uni,X2: uni,X3: $int] :
( eq_prefix1(X0,X1,X2,X3)
<=> ! [X4: $int] :
( ( get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) )
| ~ $less(X4,X3)
| $less(X4,0) ) ),
inference(ennf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: ty,X1: uni,X2: uni,X3: $int] :
( eq_prefix1(X0,X1,X2,X3)
<=> ! [X4: $int] :
( ( $less(X4,X3)
& ~ $less(X4,0) )
=> ( get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) ) ) ),
inference(rectify,[],[f92]) ).
tff(f92,plain,
! [X0: ty,X20: uni,X6: uni,X12: $int] :
( eq_prefix1(X0,X20,X6,X12)
<=> ! [X21: $int] :
( ( $less(X21,X12)
& ~ $less(X21,0) )
=> ( get(X0,int,X20,t2tb1(X21)) = get(X0,int,X6,t2tb1(X21)) ) ) ),
inference(theory_normalization,[],[f64]) ).
tff(f64,axiom,
! [X0: ty,X20: uni,X6: uni,X12: $int] :
( eq_prefix1(X0,X20,X6,X12)
<=> ! [X21: $int] :
( ( $less(X21,X12)
& $lesseq(0,X21) )
=> ( get(X0,int,X20,t2tb1(X21)) = get(X0,int,X6,t2tb1(X21)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f6965,plain,
( ~ eq_prefix1(int,t2tb2(sK8),t2tb2(sK12),0)
| spl24_13 ),
inference(avatar_component_clause,[],[f6963]) ).
tff(f8689,plain,
( $less(sK23(int,t2tb2(sK8),t2tb2(sK12),0),0)
| spl24_13 ),
inference(resolution,[],[f6965,f365]) ).
tff(f365,plain,
! [X2: uni,X3: $int,X0: ty,X1: uni] :
( eq_prefix1(X0,X1,X2,X3)
| $less(sK23(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f216]) ).
tff(f8556,plain,
( ~ spl24_1
| ~ spl24_11 ),
inference(avatar_contradiction_clause,[],[f8555]) ).
tff(f8555,plain,
( $false
| ~ spl24_1
| ~ spl24_11 ),
inference(subsumption_resolution,[],[f8549,f6957]) ).
tff(f6957,plain,
( $less(sK13(sK12),0)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f6955]) ).
tff(f6955,plain,
( spl24_11
<=> $less(sK13(sK12),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
tff(f8549,plain,
( ~ $less(sK13(sK12),0)
| ~ spl24_1 ),
inference(resolution,[],[f8548,f443]) ).
tff(f8548,plain,
! [X0: map_int_int] :
( ~ partial_solution1(sK0,X0)
| ~ $less(sK13(X0),0) ),
inference(subsumption_resolution,[],[f1810,f1809]) ).
tff(f1809,plain,
! [X0: map_int_int] :
( ~ partial_solution1(sK0,X0)
| ~ $less(sK13(X0),0)
| $less(sK23(int,t2tb2(sK8),t2tb2(X0),0),0) ),
inference(resolution,[],[f1788,f365]) ).
tff(f1788,plain,
! [X15: map_int_int] :
( ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),0)
| ~ $less(sK13(X15),0)
| ~ partial_solution1(sK0,X15) ),
inference(forward_demodulation,[],[f400,f385]) ).
tff(f400,plain,
! [X15: map_int_int] :
( ~ $less(sK13(X15),0)
| ~ partial_solution1(sK0,X15)
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),sK7) ),
inference(definition_unfolding,[],[f227,f251,f250]) ).
tff(f251,plain,
0 = sK1,
inference(cnf_transformation,[],[f174]) ).
tff(f227,plain,
! [X15: map_int_int] :
( ~ $less(sK13(X15),sK1)
| ~ partial_solution1(n1,X15)
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),sK7) ),
inference(cnf_transformation,[],[f174]) ).
tff(f1810,plain,
! [X0: map_int_int] :
( ~ $less(sK13(X0),0)
| ~ partial_solution1(sK0,X0)
| ~ $less(sK23(int,t2tb2(sK8),t2tb2(X0),0),0) ),
inference(resolution,[],[f1788,f364]) ).
tff(f6966,plain,
( spl24_11
| ~ spl24_12
| ~ spl24_13
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f4355,f441,f6963,f6959,f6955]) ).
tff(f4355,plain,
( ~ eq_prefix1(int,t2tb2(sK8),t2tb2(sK12),0)
| ~ $less(sK13(sK12),sK5)
| $less(sK13(sK12),0)
| ~ spl24_1 ),
inference(subsumption_resolution,[],[f4352,f443]) ).
tff(f4352,plain,
( ~ eq_prefix1(int,t2tb2(sK8),t2tb2(sK12),0)
| ~ partial_solution1(sK0,sK12)
| ~ $less(sK13(sK12),sK5)
| $less(sK13(sK12),0) ),
inference(resolution,[],[f1787,f4335]) ).
tff(f4335,plain,
! [X18: $int] :
( ~ eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(X18)),sK0)
| ~ $less(X18,sK5)
| $less(X18,0) ),
inference(subsumption_resolution,[],[f434,f401]) ).
tff(f401,plain,
! [X16: $int,X15: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(sK6),t2tb1(X16)),sK0)
| ~ $less(X16,sK5)
| $less(X16,0)
| partial_solution1(sK0,X15) ),
inference(definition_unfolding,[],[f226,f251,f250,f250]) ).
tff(f226,plain,
! [X16: $int,X15: map_int_int] :
( $less(X16,sK1)
| ~ $less(X16,sK5)
| ~ eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(sK6),t2tb1(X16)),n1)
| partial_solution1(n1,X15) ),
inference(cnf_transformation,[],[f174]) ).
tff(f434,plain,
! [X18: $int] :
( $less(X18,0)
| ~ $less(X18,sK5)
| ~ eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(X18)),sK0)
| ~ partial_solution1(sK0,sK12) ),
inference(global_subsumption,[],[f384,f423]) ).
tff(f423,plain,
! [X18: $int] :
( ~ sorted1(sK6,0,sK5)
| $less(X18,0)
| ~ $less(X18,sK5)
| ~ eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(X18)),sK0)
| ~ partial_solution1(sK0,sK12) ),
inference(evaluation,[],[f406]) ).
tff(f406,plain,
! [X18: $int] :
( ( sK5 != $sum(sK5,$uminus(0)) )
| ~ sorted1(sK6,0,sK5)
| $less(X18,0)
| ~ $less(X18,$sum(sK5,$uminus(0)))
| ~ eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(X18)),sK0)
| ~ partial_solution1(sK0,sK12) ),
inference(definition_unfolding,[],[f221,f251,f251,f250,f250]) ).
tff(f221,plain,
! [X18: $int] :
( ( sK5 != $sum(sK5,$uminus(sK1)) )
| ~ sorted1(sK6,0,sK5)
| $less(X18,0)
| ~ $less(X18,$sum(sK5,$uminus(sK1)))
| ~ eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(X18)),n1)
| ~ partial_solution1(n1,sK12) ),
inference(cnf_transformation,[],[f174]) ).
tff(f384,plain,
sorted1(sK6,0,sK5),
inference(definition_unfolding,[],[f246,f251]) ).
tff(f246,plain,
sorted1(sK6,sK1,sK5),
inference(cnf_transformation,[],[f174]) ).
tff(f1787,plain,
! [X15: map_int_int] :
( eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(sK6),t2tb1(sK13(X15))),sK0)
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),0)
| ~ partial_solution1(sK0,X15) ),
inference(forward_demodulation,[],[f398,f385]) ).
tff(f398,plain,
! [X15: map_int_int] :
( eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(sK6),t2tb1(sK13(X15))),sK0)
| ~ partial_solution1(sK0,X15)
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),sK7) ),
inference(definition_unfolding,[],[f229,f250,f250]) ).
tff(f229,plain,
! [X15: map_int_int] :
( eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(sK6),t2tb1(sK13(X15))),n1)
| ~ partial_solution1(n1,X15)
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X15),sK7) ),
inference(cnf_transformation,[],[f174]) ).
tff(f4334,plain,
( ~ spl24_2
| spl24_7
| ~ spl24_8 ),
inference(avatar_contradiction_clause,[],[f4333]) ).
tff(f4333,plain,
( $false
| ~ spl24_2
| spl24_7
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f4332,f4291]) ).
tff(f4291,plain,
( ~ $less(sK14,0)
| spl24_7 ),
inference(avatar_component_clause,[],[f4289]) ).
tff(f4289,plain,
( spl24_7
<=> $less(sK14,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
tff(f4332,plain,
( $less(sK14,0)
| ~ spl24_2
| spl24_7
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f4327,f447]) ).
tff(f447,plain,
( $less(sK14,sK5)
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f445]) ).
tff(f445,plain,
( spl24_2
<=> $less(sK14,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
tff(f4327,plain,
( ~ $less(sK14,sK5)
| $less(sK14,0)
| ~ spl24_2
| spl24_7
| ~ spl24_8 ),
inference(resolution,[],[f4323,f4307]) ).
tff(f4307,plain,
( eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(sK14)),sK0)
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f4305]) ).
tff(f4305,plain,
( spl24_8
<=> eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(sK14)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
tff(f4323,plain,
( ! [X18: $int] :
( ~ eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(X18)),sK0)
| ~ $less(X18,sK5)
| $less(X18,0) )
| ~ spl24_2
| spl24_7
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f434,f4317]) ).
tff(f4317,plain,
( partial_solution1(sK0,sK12)
| ~ spl24_2
| spl24_7
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f4316,f4291]) ).
tff(f4316,plain,
( $less(sK14,0)
| partial_solution1(sK0,sK12)
| ~ spl24_2
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f4310,f447]) ).
tff(f4310,plain,
( ~ $less(sK14,sK5)
| $less(sK14,0)
| partial_solution1(sK0,sK12)
| ~ spl24_8 ),
inference(resolution,[],[f401,f4307]) ).
tff(f4308,plain,
( spl24_1
| spl24_8 ),
inference(avatar_split_clause,[],[f431,f4305,f441]) ).
tff(f431,plain,
( eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(sK14)),sK0)
| partial_solution1(sK0,sK12) ),
inference(global_subsumption,[],[f384,f426]) ).
tff(f426,plain,
( ~ sorted1(sK6,0,sK5)
| eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(sK14)),sK0)
| partial_solution1(sK0,sK12) ),
inference(evaluation,[],[f403]) ).
tff(f403,plain,
( ( sK5 != $sum(sK5,$uminus(0)) )
| ~ sorted1(sK6,0,sK5)
| eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(sK14)),sK0)
| partial_solution1(sK0,sK12) ),
inference(definition_unfolding,[],[f224,f251,f250,f250]) ).
tff(f224,plain,
( ( sK5 != $sum(sK5,$uminus(sK1)) )
| ~ sorted1(sK6,0,sK5)
| eq_prefix1(int,t2tb2(sK12),get(map(int,int),int,t2tb3(sK6),t2tb1(sK14)),n1)
| partial_solution1(n1,sK12) ),
inference(cnf_transformation,[],[f174]) ).
tff(f4292,plain,
( spl24_1
| ~ spl24_7 ),
inference(avatar_split_clause,[],[f433,f4289,f441]) ).
tff(f433,plain,
( ~ $less(sK14,0)
| partial_solution1(sK0,sK12) ),
inference(global_subsumption,[],[f384,f424]) ).
tff(f424,plain,
( ~ sorted1(sK6,0,sK5)
| ~ $less(sK14,0)
| partial_solution1(sK0,sK12) ),
inference(evaluation,[],[f405]) ).
tff(f405,plain,
( ( sK5 != $sum(sK5,$uminus(0)) )
| ~ sorted1(sK6,0,sK5)
| ~ $less(sK14,0)
| partial_solution1(sK0,sK12) ),
inference(definition_unfolding,[],[f222,f251,f250]) ).
tff(f222,plain,
( ( sK5 != $sum(sK5,$uminus(sK1)) )
| ~ sorted1(sK6,0,sK5)
| ~ $less(sK14,0)
| partial_solution1(n1,sK12) ),
inference(cnf_transformation,[],[f174]) ).
tff(f448,plain,
( spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f432,f445,f441]) ).
tff(f432,plain,
( $less(sK14,sK5)
| partial_solution1(sK0,sK12) ),
inference(global_subsumption,[],[f384,f425]) ).
tff(f425,plain,
( ~ sorted1(sK6,0,sK5)
| $less(sK14,sK5)
| partial_solution1(sK0,sK12) ),
inference(evaluation,[],[f404]) ).
tff(f404,plain,
( ( sK5 != $sum(sK5,$uminus(0)) )
| ~ sorted1(sK6,0,sK5)
| $less(sK14,$sum(sK5,$uminus(0)))
| partial_solution1(sK0,sK12) ),
inference(definition_unfolding,[],[f223,f251,f251,f250]) ).
tff(f223,plain,
( ( sK5 != $sum(sK5,$uminus(sK1)) )
| ~ sorted1(sK6,0,sK5)
| $less(sK14,$sum(sK5,$uminus(sK1)))
| partial_solution1(n1,sK12) ),
inference(cnf_transformation,[],[f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW634_2 : TPTP v8.2.0. Released v6.1.0.
% 0.12/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.36 % Computer : n026.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Jun 19 06:00:39 EDT 2024
% 0.12/0.37 % CPUTime :
% 0.12/0.38 This is a TF0_THM_EQU_ARI problem
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.44 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (755)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.24/0.45 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (757)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.24/0.45 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (754)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.24/0.45 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (758)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.24/0.45 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (752)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.24/0.45 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (756)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.24/0.45 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (751)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.24/0.45 % (755)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.24/0.45 % (755)Terminated due to inappropriate strategy.
% 0.24/0.45 % (755)------------------------------
% 0.24/0.45 % (755)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.45 % (755)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.45 % (755)Termination reason: Inappropriate
% 0.24/0.45
% 0.24/0.45 % (755)Memory used [KB]: 1000
% 0.24/0.45 % (755)Time elapsed: 0.007 s
% 0.24/0.45 % (755)Instructions burned: 12 (million)
% 0.24/0.45 % (755)------------------------------
% 0.24/0.45 % (755)------------------------------
% 0.24/0.45 % (754)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.24/0.45 % (754)Terminated due to inappropriate strategy.
% 0.24/0.45 % (754)------------------------------
% 0.24/0.45 % (754)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.45 % (754)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.45 % (754)Termination reason: Inappropriate
% 0.24/0.45
% 0.24/0.45 % (754)Memory used [KB]: 1023
% 0.24/0.45 % (754)Time elapsed: 0.009 s
% 0.24/0.45 % (754)Instructions burned: 15 (million)
% 0.24/0.45 % (751)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.24/0.45 % (751)Terminated due to inappropriate strategy.
% 0.24/0.45 % (751)------------------------------
% 0.24/0.45 % (751)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.45 % (751)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.45 % (751)Termination reason: Inappropriate
% 0.24/0.45
% 0.24/0.45 % (751)Memory used [KB]: 1031
% 0.24/0.45 % (751)Time elapsed: 0.008 s
% 0.24/0.45 % (751)Instructions burned: 13 (million)
% 0.24/0.45 % (754)------------------------------
% 0.24/0.45 % (754)------------------------------
% 0.24/0.45 % (751)------------------------------
% 0.24/0.45 % (751)------------------------------
% 0.24/0.51 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.51 % (761)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.24/0.51 % (756)Instruction limit reached!
% 0.24/0.51 % (756)------------------------------
% 0.24/0.51 % (756)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.51 % (756)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.51 % (756)Termination reason: Time limit
% 0.24/0.51 % (756)Termination phase: Saturation
% 0.24/0.51
% 0.24/0.51 % (756)Memory used [KB]: 1988
% 0.24/0.51 % (756)Time elapsed: 0.066 s
% 0.24/0.51 % (756)Instructions burned: 105 (million)
% 0.24/0.51 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.51 % (763)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.24/0.51 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.51 % (762)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.24/0.51 % (758)Instruction limit reached!
% 0.24/0.51 % (758)------------------------------
% 0.24/0.51 % (758)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.51 % (758)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.51 % (758)Termination reason: Time limit
% 0.24/0.51 % (758)Termination phase: Saturation
% 0.24/0.51
% 0.24/0.51 % (758)Memory used [KB]: 2402
% 0.24/0.51 % (758)Time elapsed: 0.069 s
% 0.24/0.51 % (758)Instructions burned: 115 (million)
% 0.24/0.54 % (757)Instruction limit reached!
% 0.24/0.54 % (757)------------------------------
% 0.24/0.54 % (757)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.54 % (757)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.54 % (757)Termination reason: Time limit
% 0.24/0.54 % (757)Termination phase: Saturation
% 0.24/0.54
% 0.24/0.54 % (757)Memory used [KB]: 2275
% 0.24/0.54 % (757)Time elapsed: 0.093 s
% 0.24/0.54 % (757)Instructions burned: 146 (million)
% 0.24/0.57 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.57 % (764)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 0.24/0.57 % (749)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.57 % (765)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 0.24/0.58 % (765)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.24/0.58 % (765)Terminated due to inappropriate strategy.
% 0.24/0.58 % (765)------------------------------
% 0.24/0.58 % (765)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.58 % (765)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.58 % (765)Termination reason: Inappropriate
% 0.24/0.58
% 0.24/0.58 % (765)Memory used [KB]: 1005
% 0.24/0.58 % (765)Time elapsed: 0.007 s
% 0.24/0.58 % (765)Instructions burned: 12 (million)
% 0.24/0.58 % (765)------------------------------
% 0.24/0.58 % (765)------------------------------
% 1.44/0.60 % (749)Running in auto input_syntax mode. Trying TPTP
% 1.44/0.60 % (766)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 1.44/0.61 % (762)Instruction limit reached!
% 1.44/0.61 % (762)------------------------------
% 1.44/0.61 % (762)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.44/0.61 % (762)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.44/0.61 % (762)Termination reason: Time limit
% 1.44/0.61 % (762)Termination phase: Saturation
% 1.44/0.61
% 1.44/0.61 % (762)Memory used [KB]: 2633
% 1.44/0.61 % (762)Time elapsed: 0.099 s
% 1.44/0.61 % (762)Instructions burned: 176 (million)
% 1.75/0.64 % (749)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.64 % (767)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 1.88/0.67 % (749)Running in auto input_syntax mode. Trying TPTP
% 1.88/0.67 % (768)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2997ds/23580Mi)
% 1.88/0.67 % (768)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.88/0.67 % (768)Terminated due to inappropriate strategy.
% 1.88/0.67 % (768)------------------------------
% 1.88/0.67 % (768)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.88/0.67 % (768)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.88/0.67 % (768)Termination reason: Inappropriate
% 1.88/0.67
% 1.88/0.67 % (768)Memory used [KB]: 923
% 1.88/0.67 % (768)Time elapsed: 0.007 s
% 1.88/0.67 % (768)Instructions burned: 11 (million)
% 1.88/0.67 % (768)------------------------------
% 1.88/0.67 % (768)------------------------------
% 1.88/0.67 % (763)Instruction limit reached!
% 1.88/0.67 % (763)------------------------------
% 1.88/0.67 % (763)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.88/0.67 % (763)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.88/0.67 % (763)Termination reason: Time limit
% 1.88/0.67 % (763)Termination phase: Saturation
% 1.88/0.67
% 1.88/0.67 % (763)Memory used [KB]: 4032
% 1.88/0.67 % (763)Time elapsed: 0.162 s
% 1.88/0.67 % (763)Instructions burned: 271 (million)
% 2.27/0.73 % (761)Instruction limit reached!
% 2.27/0.73 % (761)------------------------------
% 2.27/0.73 % (761)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.27/0.73 % (761)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.27/0.73 % (761)Termination reason: Time limit
% 2.27/0.73 % (761)Termination phase: Saturation
% 2.27/0.73
% 2.27/0.73 % (761)Memory used [KB]: 3966
% 2.27/0.73 % (761)Time elapsed: 0.220 s
% 2.27/0.73 % (761)Instructions burned: 405 (million)
% 2.27/0.73 % (749)Running in auto input_syntax mode. Trying TPTP
% 2.27/0.73 % (769)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2997ds/2892Mi)
% 2.27/0.73 % (749)Running in auto input_syntax mode. Trying TPTP
% 2.27/0.73 % (770)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 2.27/0.73 % (769)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.27/0.73 % (769)Terminated due to inappropriate strategy.
% 2.27/0.73 % (769)------------------------------
% 2.27/0.73 % (769)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.27/0.73 % (769)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.27/0.73 % (769)Termination reason: Inappropriate
% 2.27/0.73
% 2.27/0.73 % (769)Memory used [KB]: 1000
% 2.27/0.73 % (769)Time elapsed: 0.007 s
% 2.27/0.73 % (769)Instructions burned: 12 (million)
% 2.27/0.73 % (769)------------------------------
% 2.27/0.73 % (769)------------------------------
% 2.51/0.78 % (749)Running in auto input_syntax mode. Trying TPTP
% 2.51/0.78 % (773)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2996ds/1735Mi)
% 2.51/0.79 % (749)Running in auto input_syntax mode. Trying TPTP
% 2.51/0.79 % (776)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2996ds/131798Mi)
% 2.51/0.79 % (776)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.51/0.79 % (776)Terminated due to inappropriate strategy.
% 2.51/0.79 % (776)------------------------------
% 2.51/0.79 % (776)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.51/0.79 % (776)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.51/0.79 % (776)Termination reason: Inappropriate
% 2.51/0.79
% 2.51/0.79 % (776)Memory used [KB]: 1027
% 2.51/0.79 % (776)Time elapsed: 0.007 s
% 2.51/0.79 % (776)Instructions burned: 12 (million)
% 2.51/0.79 % (776)------------------------------
% 2.51/0.79 % (776)------------------------------
% 2.78/0.85 % (749)Running in auto input_syntax mode. Trying TPTP
% 2.78/0.85 % (777)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2996ds/3451Mi)
% 2.78/0.86 % (777)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.78/0.86 % (777)Terminated due to inappropriate strategy.
% 2.78/0.86 % (777)------------------------------
% 2.78/0.86 % (777)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.78/0.86 % (777)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.78/0.86 % (777)Termination reason: Inappropriate
% 2.78/0.86
% 2.78/0.86 % (777)Memory used [KB]: 923
% 2.78/0.86 % (777)Time elapsed: 0.007 s
% 2.78/0.86 % (777)Instructions burned: 11 (million)
% 2.78/0.86 % (777)------------------------------
% 2.78/0.86 % (777)------------------------------
% 2.91/0.91 % (749)Running in auto input_syntax mode. Trying TPTP
% 2.91/0.91 % (778)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2995ds/3978Mi)
% 3.38/1.06 % (764)Instruction limit reached!
% 3.38/1.06 % (764)------------------------------
% 3.38/1.06 % (764)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.38/1.06 % (764)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.38/1.06 % (764)Termination reason: Time limit
% 3.38/1.06 % (764)Termination phase: Saturation
% 3.38/1.06
% 3.38/1.06 % (764)Memory used [KB]: 8089
% 3.38/1.06 % (764)Time elapsed: 0.491 s
% 3.38/1.06 % (764)Instructions burned: 901 (million)
% 3.53/1.08 % (773)First to succeed.
% 3.53/1.09 % (773)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-749"
% 3.53/1.09 % (749)Running in auto input_syntax mode. Trying TPTP
% 3.53/1.09 % (773)Refutation found. Thanks to Tanya!
% 3.53/1.09 % SZS status Theorem for theBenchmark
% 3.53/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.09 % (773)------------------------------
% 3.53/1.09 % (773)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.53/1.09 % (773)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.53/1.09 % (773)Termination reason: Refutation
% 3.53/1.09
% 3.53/1.09 % (773)Memory used [KB]: 5681
% 3.53/1.09 % (773)Time elapsed: 0.309 s
% 3.53/1.09 % (773)Instructions burned: 587 (million)
% 3.53/1.09 % (773)------------------------------
% 3.53/1.09 % (773)------------------------------
% 3.53/1.09 % (749)Success in time 0.692 s
%------------------------------------------------------------------------------