TSTP Solution File: SWW616_2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW616_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 Apr 30 17:35:40 EDT 2024
% Result : Theorem 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 65
% Syntax : Number of formulae : 93 ( 14 unt; 57 typ; 0 def)
% Number of atoms : 461 ( 114 equ)
% Maximal formula atoms : 52 ( 12 avg)
% Number of connectives : 677 ( 252 ~; 60 |; 299 &)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 1838 ( 346 atm; 924 fun; 377 num; 191 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 70 ( 31 >; 39 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 54 ( 48 usr; 23 con; 0-5 aty)
% Number of variables : 200 ( 100 !; 100 ?; 200 :)
% 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,
map_int_int: $tType ).
tff(type_def_10,type,
array_int: $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,
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,
abs: $int > $int ).
tff(func_def_17,type,
div: ( $int * $int ) > $int ).
tff(func_def_18,type,
mod: ( $int * $int ) > $int ).
tff(func_def_21,type,
map: ( ty * ty ) > ty ).
tff(func_def_22,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_23,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_24,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_25,type,
array: ty > ty ).
tff(func_def_26,type,
mk_array: ( ty * $int * uni ) > uni ).
tff(func_def_27,type,
length: ( ty * uni ) > $int ).
tff(func_def_28,type,
elts: ( ty * uni ) > uni ).
tff(func_def_29,type,
get1: ( ty * uni * $int ) > uni ).
tff(func_def_30,type,
t2tb: $int > uni ).
tff(func_def_31,type,
tb2t: uni > $int ).
tff(func_def_32,type,
set1: ( ty * uni * $int * uni ) > uni ).
tff(func_def_33,type,
make: ( ty * $int * uni ) > uni ).
tff(func_def_34,type,
sum: ( map_int_int * $int * $int ) > $int ).
tff(func_def_35,type,
t2tb1: map_int_int > uni ).
tff(func_def_36,type,
tb2t1: uni > map_int_int ).
tff(func_def_38,type,
sum1: ( array_int * $int * $int ) > $int ).
tff(func_def_39,type,
t2tb2: array_int > uni ).
tff(func_def_40,type,
tb2t2: uni > array_int ).
tff(func_def_42,type,
sK0: $int ).
tff(func_def_43,type,
sK1: map_int_int ).
tff(func_def_44,type,
sK2: $int ).
tff(func_def_45,type,
sK3: $int ).
tff(func_def_46,type,
sK4: $int ).
tff(func_def_47,type,
sK5: $int ).
tff(func_def_48,type,
sK6: $int ).
tff(func_def_49,type,
sK7: $int ).
tff(func_def_50,type,
sK8: $int ).
tff(func_def_51,type,
sK9: $int ).
tff(func_def_52,type,
sK10: $int ).
tff(func_def_53,type,
sK11: $int ).
tff(func_def_54,type,
sK12: ( map_int_int * map_int_int * $int * $int ) > $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_4,type,
maxsublo: ( array_int * $int * $int ) > $o ).
tff(pred_def_5,type,
maxsub: ( array_int * $int ) > $o ).
tff(f1043,plain,
$false,
inference(resolution,[],[f1038,f315]) ).
tff(f315,plain,
~ $less(sK5,sK10),
inference(backward_demodulation,[],[f233,f225]) ).
tff(f225,plain,
$sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5,
inference(cnf_transformation,[],[f210]) ).
tff(f210,plain,
( $less(sK7,sum(sK1,sK10,sK11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK11)
& ~ $less(sK11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK10)
& ~ $less(sK10,sK2)
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( sK7 = sK9 )
& ! [X12: $int] :
( ~ $less(sum(sK1,sK8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = sK6 )
& ! [X13: $int] :
( ~ $less(sK7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sK7 = sum(sK1,sK8,sK5) )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK8)
& ~ $less(sK8,sK2)
& ~ $less($sum($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),$uminus(1)),sK2)
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5 )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK4 )
& ( sK2 != sK3 )
& ~ $less(sK0,sK3)
& ~ $less(sK3,sK2)
& ~ $less(sK2,0)
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f203,f209,f208,f207,f206,f205,f204]) ).
tff(f204,plain,
( ? [X0: $int,X1: map_int_int,X2: $int,X3: $int] :
( ? [X4: $int] :
( ? [X5: $int] :
( ? [X6: $int,X7: $int,X8: $int] :
( ? [X9: $int] :
( ? [X10: $int,X11: $int] :
( $less(X7,sum(X1,X10,X11))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X11)
& ~ $less(X11,$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X10)
& ~ $less(X10,X2) )
& ~ $less($sum(X3,$uminus(1)),$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(X1,X8,$sum(X2,div($sum(X3,$uminus(X2)),2))),sum(X1,X12,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X12)
| $less(X12,X2) )
& ( sum(X1,$sum($sum(X2,$uminus(1)),1),$sum(X2,div($sum(X3,$uminus(X2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(X1,X13,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X13)
| ~ $less($sum(X2,$uminus(1)),X13) )
& ( sum(X1,X8,X5) = X7 )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 )
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X8)
& ~ $less(X8,X2) )
& ~ $less($sum($sum(X2,div($sum(X3,$uminus(X2)),2)),$uminus(1)),X2)
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 ) )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X4 ) )
& ( X2 != X3 )
& ~ $less(X0,X3)
& ~ $less(X3,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) )
=> ( ? [X4: $int] :
( ? [X5: $int] :
( ? [X8: $int,X7: $int,X6: $int] :
( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(X7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(sK1,X8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sum(sK1,X8,X5) = X7 )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X8)
& ~ $less(X8,sK2) )
& ~ $less($sum($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),$uminus(1)),sK2)
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 ) )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X4 ) )
& ( sK2 != sK3 )
& ~ $less(sK0,sK3)
& ~ $less(sK3,sK2)
& ~ $less(sK2,0)
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f205,plain,
( ? [X4: $int] :
( ? [X5: $int] :
( ? [X8: $int,X7: $int,X6: $int] :
( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(X7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(sK1,X8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sum(sK1,X8,X5) = X7 )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X8)
& ~ $less(X8,sK2) )
& ~ $less($sum($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),$uminus(1)),sK2)
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 ) )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X4 ) )
=> ( ? [X5: $int] :
( ? [X8: $int,X7: $int,X6: $int] :
( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(X7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(sK1,X8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sum(sK1,X8,X5) = X7 )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X8)
& ~ $less(X8,sK2) )
& ~ $less($sum($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),$uminus(1)),sK2)
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 ) )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK4 ) ) ),
introduced(choice_axiom,[]) ).
tff(f206,plain,
( ? [X5: $int] :
( ? [X8: $int,X7: $int,X6: $int] :
( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(X7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(sK1,X8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sum(sK1,X8,X5) = X7 )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X8)
& ~ $less(X8,sK2) )
& ~ $less($sum($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),$uminus(1)),sK2)
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = X5 ) )
=> ( ? [X8: $int,X7: $int,X6: $int] :
( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(X7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(sK1,X8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sum(sK1,X8,sK5) = X7 )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X8)
& ~ $less(X8,sK2) )
& ~ $less($sum($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),$uminus(1)),sK2)
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5 ) ) ),
introduced(choice_axiom,[]) ).
tff(f207,plain,
( ? [X8: $int,X7: $int,X6: $int] :
( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(X7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(sK1,X8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sum(sK1,X8,sK5) = X7 )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X8)
& ~ $less(X8,sK2) )
=> ( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(sK7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( sK7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(sK1,sK8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) )
& ( sum(sK1,$sum($sum(sK2,$uminus(1)),1),$sum(sK2,div($sum(sK3,$uminus(sK2)),2))) = sK6 )
& ! [X13: $int] :
( ~ $less(sK7,sum(sK1,X13,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X13)
| ~ $less($sum(sK2,$uminus(1)),X13) )
& ( sK7 = sum(sK1,sK8,sK5) )
& ( $sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5 )
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK8)
& ~ $less(sK8,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f208,plain,
( ? [X9: $int] :
( ? [X11: $int,X10: $int] :
( $less(sK7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( sK7 = X9 ) )
=> ( ? [X11: $int,X10: $int] :
( $less(sK7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
& ~ $less($sum(sK3,$uminus(1)),$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ( sK7 = sK9 ) ) ),
introduced(choice_axiom,[]) ).
tff(f209,plain,
( ? [X11: $int,X10: $int] :
( $less(sK7,sum(sK1,X10,X11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X11)
& ~ $less(X11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X10)
& ~ $less(X10,sK2) )
=> ( $less(sK7,sum(sK1,sK10,sK11))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK11)
& ~ $less(sK11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2)))
& ~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK10)
& ~ $less(sK10,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f203,plain,
? [X0: $int,X1: map_int_int,X2: $int,X3: $int] :
( ? [X4: $int] :
( ? [X5: $int] :
( ? [X6: $int,X7: $int,X8: $int] :
( ? [X9: $int] :
( ? [X10: $int,X11: $int] :
( $less(X7,sum(X1,X10,X11))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X11)
& ~ $less(X11,$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X10)
& ~ $less(X10,X2) )
& ~ $less($sum(X3,$uminus(1)),$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ( X7 = X9 ) )
& ! [X12: $int] :
( ~ $less(sum(X1,X8,$sum(X2,div($sum(X3,$uminus(X2)),2))),sum(X1,X12,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X12)
| $less(X12,X2) )
& ( sum(X1,$sum($sum(X2,$uminus(1)),1),$sum(X2,div($sum(X3,$uminus(X2)),2))) = X6 )
& ! [X13: $int] :
( ~ $less(X7,sum(X1,X13,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X13)
| ~ $less($sum(X2,$uminus(1)),X13) )
& ( sum(X1,X8,X5) = X7 )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 )
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X8)
& ~ $less(X8,X2) )
& ~ $less($sum($sum(X2,div($sum(X3,$uminus(X2)),2)),$uminus(1)),X2)
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 ) )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X4 ) )
& ( X2 != X3 )
& ~ $less(X0,X3)
& ~ $less(X3,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) ),
inference(rectify,[],[f161]) ).
tff(f161,plain,
? [X0: $int,X1: map_int_int,X2: $int,X3: $int] :
( ? [X4: $int] :
( ? [X5: $int] :
( ? [X6: $int,X7: $int,X8: $int] :
( ? [X11: $int] :
( ? [X12: $int,X13: $int] :
( $less(X7,sum(X1,X12,X13))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X13)
& ~ $less(X13,$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X12)
& ~ $less(X12,X2) )
& ~ $less($sum(X3,$uminus(1)),$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ( X7 = X11 ) )
& ! [X10: $int] :
( ~ $less(sum(X1,X8,$sum(X2,div($sum(X3,$uminus(X2)),2))),sum(X1,X10,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X10)
| $less(X10,X2) )
& ( sum(X1,$sum($sum(X2,$uminus(1)),1),$sum(X2,div($sum(X3,$uminus(X2)),2))) = X6 )
& ! [X9: $int] :
( ~ $less(X7,sum(X1,X9,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X9)
| ~ $less($sum(X2,$uminus(1)),X9) )
& ( sum(X1,X8,X5) = X7 )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 )
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X8)
& ~ $less(X8,X2) )
& ~ $less($sum($sum(X2,div($sum(X3,$uminus(X2)),2)),$uminus(1)),X2)
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 ) )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X4 ) )
& ( X2 != X3 )
& ~ $less(X0,X3)
& ~ $less(X3,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) ),
inference(flattening,[],[f160]) ).
tff(f160,plain,
? [X0: $int,X1: map_int_int,X2: $int,X3: $int] :
( ? [X4: $int] :
( ? [X5: $int] :
( ? [X6: $int,X7: $int,X8: $int] :
( ? [X11: $int] :
( ? [X12: $int,X13: $int] :
( $less(X7,sum(X1,X12,X13))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X13)
& ~ $less(X13,$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X12)
& ~ $less(X12,X2) )
& ~ $less($sum(X3,$uminus(1)),$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ( X7 = X11 ) )
& ! [X10: $int] :
( ~ $less(sum(X1,X8,$sum(X2,div($sum(X3,$uminus(X2)),2))),sum(X1,X10,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X10)
| $less(X10,X2) )
& ( sum(X1,$sum($sum(X2,$uminus(1)),1),$sum(X2,div($sum(X3,$uminus(X2)),2))) = X6 )
& ! [X9: $int] :
( ~ $less(X7,sum(X1,X9,$sum(X2,div($sum(X3,$uminus(X2)),2))))
| $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X9)
| ~ $less($sum(X2,$uminus(1)),X9) )
& ( sum(X1,X8,X5) = X7 )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 )
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X8)
& ~ $less(X8,X2) )
& ~ $less($sum($sum(X2,div($sum(X3,$uminus(X2)),2)),$uminus(1)),X2)
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 ) )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X4 ) )
& ( X2 != X3 )
& ~ $less(X0,X3)
& ~ $less(X3,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f106]) ).
tff(f106,plain,
~ ! [X0: $int,X1: map_int_int,X2: $int,X3: $int] :
( ( ~ $less(X0,X3)
& ~ $less(X3,X2)
& ~ $less(X2,0)
& ~ $less(X0,0) )
=> ( ( X2 != X3 )
=> ! [X4: $int] :
( ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X4 )
=> ! [X5: $int] :
( ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 )
=> ( ~ $less($sum($sum(X2,div($sum(X3,$uminus(X2)),2)),$uminus(1)),X2)
=> ! [X6: $int,X7: $int,X8: $int] :
( ( ( sum(X1,$sum($sum(X2,$uminus(1)),1),$sum(X2,div($sum(X3,$uminus(X2)),2))) = X6 )
& ! [X9: $int] :
( ( ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X9)
& $less($sum(X2,$uminus(1)),X9) )
=> ~ $less(X7,sum(X1,X9,$sum(X2,div($sum(X3,$uminus(X2)),2)))) )
& ( sum(X1,X8,X5) = X7 )
& ( $sum(X2,div($sum(X3,$uminus(X2)),2)) = X5 )
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X8)
& ~ $less(X8,X2) )
=> ( ! [X10: $int] :
( ( ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X10)
& ~ $less(X10,X2) )
=> ~ $less(sum(X1,X8,$sum(X2,div($sum(X3,$uminus(X2)),2))),sum(X1,X10,$sum(X2,div($sum(X3,$uminus(X2)),2)))) )
=> ! [X11: $int] :
( ( X7 = X11 )
=> ( ~ $less($sum(X3,$uminus(1)),$sum(X2,div($sum(X3,$uminus(X2)),2)))
=> ! [X12: $int,X13: $int] :
( ( ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X13)
& ~ $less(X13,$sum(X2,div($sum(X3,$uminus(X2)),2)))
& ~ $less($sum(X2,div($sum(X3,$uminus(X2)),2)),X12)
& ~ $less(X12,X2) )
=> ~ $less(X7,sum(X1,X12,X13)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f105]) ).
tff(f105,plain,
~ ! [X0: $int,X10: map_int_int,X22: $int,X23: $int] :
( ( ~ $less(X0,X23)
& ~ $less(X23,X22)
& ~ $less(X22,0)
& ~ $less(X0,0) )
=> ( ( X22 != X23 )
=> ! [X26: $int] :
( ( $sum(X22,div($sum(X23,$uminus(X22)),2)) = X26 )
=> ! [X27: $int] :
( ( $sum(X22,div($sum(X23,$uminus(X22)),2)) = X27 )
=> ( ~ $less($sum($sum(X22,div($sum(X23,$uminus(X22)),2)),$uminus(1)),X22)
=> ! [X25: $int,X28: $int,X29: $int] :
( ( ( sum(X10,$sum($sum(X22,$uminus(1)),1),$sum(X22,div($sum(X23,$uminus(X22)),2))) = X25 )
& ! [X30: $int] :
( ( ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X30)
& $less($sum(X22,$uminus(1)),X30) )
=> ~ $less(X28,sum(X10,X30,$sum(X22,div($sum(X23,$uminus(X22)),2)))) )
& ( sum(X10,X29,X27) = X28 )
& ( $sum(X22,div($sum(X23,$uminus(X22)),2)) = X27 )
& ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X29)
& ~ $less(X29,X22) )
=> ( ! [X30: $int] :
( ( ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X30)
& ~ $less(X30,X22) )
=> ~ $less(sum(X10,X29,$sum(X22,div($sum(X23,$uminus(X22)),2))),sum(X10,X30,$sum(X22,div($sum(X23,$uminus(X22)),2)))) )
=> ! [X31: $int] :
( ( X28 = X31 )
=> ( ~ $less($sum(X23,$uminus(1)),$sum(X22,div($sum(X23,$uminus(X22)),2)))
=> ! [X30: $int,X32: $int] :
( ( ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X32)
& ~ $less(X32,$sum(X22,div($sum(X23,$uminus(X22)),2)))
& ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X30)
& ~ $less(X30,X22) )
=> ~ $less(X28,sum(X10,X30,X32)) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f66]) ).
tff(f66,plain,
~ ! [X0: $int,X10: map_int_int,X22: $int,X23: $int] :
( ( ~ $less(X0,X23)
& ~ $less(X23,X22)
& ~ $less(X22,0)
& ~ $less(X0,0) )
=> ( ( X22 != X23 )
=> ! [X26: $int] :
( ( $sum(X22,div($sum(X23,$uminus(X22)),2)) = X26 )
=> ! [X27: $int] :
( ( $sum(X22,div($sum(X23,$uminus(X22)),2)) = X27 )
=> ( ~ $less($sum($sum(X22,div($difference(X23,X22),2)),$uminus(1)),X22)
=> ! [X25: $int,X28: $int,X29: $int] :
( ( ( sum(X10,$sum($sum(X22,$uminus(1)),1),$sum(X22,div($sum(X23,$uminus(X22)),2))) = X25 )
& ! [X30: $int] :
( ( ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X30)
& $less($sum(X22,$uminus(1)),X30) )
=> ~ $less(X28,sum(X10,X30,$sum(X22,div($sum(X23,$uminus(X22)),2)))) )
& ( sum(X10,X29,X27) = X28 )
& ( $sum(X22,div($sum(X23,$uminus(X22)),2)) = X27 )
& ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X29)
& ~ $less(X29,X22) )
=> ( ! [X30: $int] :
( ( ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X30)
& ~ $less(X30,X22) )
=> ~ $less(sum(X10,X29,$sum(X22,div($sum(X23,$uminus(X22)),2))),sum(X10,X30,$sum(X22,div($sum(X23,$uminus(X22)),2)))) )
=> ! [X31: $int] :
( ( X28 = X31 )
=> ( ~ $less($sum(X23,$uminus(1)),$sum(X22,div($sum(X23,$uminus(X22)),2)))
=> ! [X30: $int,X32: $int] :
( ( ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X32)
& ~ $less(X32,$sum(X22,div($sum(X23,$uminus(X22)),2)))
& ~ $less($sum(X22,div($sum(X23,$uminus(X22)),2)),X30)
& ~ $less(X30,X22) )
=> ~ $less(X28,sum(X10,X30,X32)) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f65]) ).
tff(f65,negated_conjecture,
~ ! [X0: $int,X10: map_int_int,X22: $int,X23: $int] :
( ( $lesseq(X23,X0)
& $lesseq(X22,X23)
& $lesseq(0,X22)
& $lesseq(0,X0) )
=> ( ( X22 != X23 )
=> ! [X26: $int] :
( ( $sum(X22,div($difference(X23,X22),2)) = X26 )
=> ! [X27: $int] :
( ( $sum(X22,div($difference(X23,X22),2)) = X27 )
=> ( $lesseq(X22,$difference($sum(X22,div($difference(X23,X22),2)),1))
=> ! [X25: $int,X28: $int,X29: $int] :
( ( ( sum(X10,$sum($difference(X22,1),1),$sum(X22,div($difference(X23,X22),2))) = X25 )
& ! [X30: $int] :
( ( $lesseq(X30,$sum(X22,div($difference(X23,X22),2)))
& $less($difference(X22,1),X30) )
=> $lesseq(sum(X10,X30,$sum(X22,div($difference(X23,X22),2))),X28) )
& ( sum(X10,X29,X27) = X28 )
& ( $sum(X22,div($difference(X23,X22),2)) = X27 )
& $lesseq(X29,$sum(X22,div($difference(X23,X22),2)))
& $lesseq(X22,X29) )
=> ( ! [X30: $int] :
( ( $lesseq(X30,$sum(X22,div($difference(X23,X22),2)))
& $lesseq(X22,X30) )
=> $lesseq(sum(X10,X30,$sum(X22,div($difference(X23,X22),2))),sum(X10,X29,$sum(X22,div($difference(X23,X22),2)))) )
=> ! [X31: $int] :
( ( X28 = X31 )
=> ( $lesseq($sum(X22,div($difference(X23,X22),2)),$difference(X23,1))
=> ! [X30: $int,X32: $int] :
( ( $lesseq(X32,$sum(X22,div($difference(X23,X22),2)))
& $lesseq($sum(X22,div($difference(X23,X22),2)),X32)
& $lesseq(X30,$sum(X22,div($difference(X23,X22),2)))
& $lesseq(X22,X30) )
=> $lesseq(sum(X10,X30,X32),X28) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f64]) ).
tff(f64,conjecture,
! [X0: $int,X10: map_int_int,X22: $int,X23: $int] :
( ( $lesseq(X23,X0)
& $lesseq(X22,X23)
& $lesseq(0,X22)
& $lesseq(0,X0) )
=> ( ( X22 != X23 )
=> ! [X26: $int] :
( ( $sum(X22,div($difference(X23,X22),2)) = X26 )
=> ! [X27: $int] :
( ( $sum(X22,div($difference(X23,X22),2)) = X27 )
=> ( $lesseq(X22,$difference($sum(X22,div($difference(X23,X22),2)),1))
=> ! [X25: $int,X28: $int,X29: $int] :
( ( ( sum(X10,$sum($difference(X22,1),1),$sum(X22,div($difference(X23,X22),2))) = X25 )
& ! [X30: $int] :
( ( $lesseq(X30,$sum(X22,div($difference(X23,X22),2)))
& $less($difference(X22,1),X30) )
=> $lesseq(sum(X10,X30,$sum(X22,div($difference(X23,X22),2))),X28) )
& ( sum(X10,X29,X27) = X28 )
& ( $sum(X22,div($difference(X23,X22),2)) = X27 )
& $lesseq(X29,$sum(X22,div($difference(X23,X22),2)))
& $lesseq(X22,X29) )
=> ( ! [X30: $int] :
( ( $lesseq(X30,$sum(X22,div($difference(X23,X22),2)))
& $lesseq(X22,X30) )
=> $lesseq(sum(X10,X30,$sum(X22,div($difference(X23,X22),2))),sum(X10,X29,$sum(X22,div($difference(X23,X22),2)))) )
=> ! [X31: $int] :
( ( X28 = X31 )
=> ( $lesseq($sum(X22,div($difference(X23,X22),2)),$difference(X23,1))
=> ! [X30: $int,X32: $int] :
( ( $lesseq(X32,$sum(X22,div($difference(X23,X22),2)))
& $lesseq($sum(X22,div($difference(X23,X22),2)),X32)
& $lesseq(X30,$sum(X22,div($difference(X23,X22),2)))
& $lesseq(X22,X30) )
=> $lesseq(sum(X10,X30,X32),X28) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_maximum_subarray_rec) ).
tff(f233,plain,
~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK10),
inference(cnf_transformation,[],[f210]) ).
tff(f1038,plain,
$less(sK5,sK10),
inference(resolution,[],[f1019,f232]) ).
tff(f232,plain,
~ $less(sK10,sK2),
inference(cnf_transformation,[],[f210]) ).
tff(f1019,plain,
( $less(sK10,sK2)
| $less(sK5,sK10) ),
inference(resolution,[],[f993,f322]) ).
tff(f322,plain,
! [X12: $int] :
( ~ $less(sK7,sum(sK1,X12,sK5))
| $less(sK5,X12)
| $less(X12,sK2) ),
inference(forward_demodulation,[],[f321,f226]) ).
tff(f226,plain,
sK7 = sum(sK1,sK8,sK5),
inference(cnf_transformation,[],[f210]) ).
tff(f321,plain,
! [X12: $int] :
( ~ $less(sum(sK1,sK8,sK5),sum(sK1,X12,sK5))
| $less(sK5,X12)
| $less(X12,sK2) ),
inference(forward_demodulation,[],[f314,f225]) ).
tff(f314,plain,
! [X12: $int] :
( $less(sK5,X12)
| ~ $less(sum(sK1,sK8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less(X12,sK2) ),
inference(backward_demodulation,[],[f229,f225]) ).
tff(f229,plain,
! [X12: $int] :
( ~ $less(sum(sK1,sK8,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),sum(sK1,X12,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))))
| $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),X12)
| $less(X12,sK2) ),
inference(cnf_transformation,[],[f210]) ).
tff(f993,plain,
$less(sK7,sum(sK1,sK10,sK5)),
inference(backward_demodulation,[],[f236,f988]) ).
tff(f988,plain,
sK5 = sK11,
inference(resolution,[],[f703,f317]) ).
tff(f317,plain,
~ $less(sK5,sK11),
inference(backward_demodulation,[],[f235,f225]) ).
tff(f235,plain,
~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK11),
inference(cnf_transformation,[],[f210]) ).
tff(f703,plain,
( $less(sK5,sK11)
| ( sK5 = sK11 ) ),
inference(resolution,[],[f94,f316]) ).
tff(f316,plain,
~ $less(sK11,sK5),
inference(backward_demodulation,[],[f234,f225]) ).
tff(f234,plain,
~ $less(sK11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),
inference(cnf_transformation,[],[f210]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f236,plain,
$less(sK7,sum(sK1,sK10,sK11)),
inference(cnf_transformation,[],[f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW616_2 : TPTP v8.1.2. Released v6.1.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 03:15:10 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % (15232)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (15235)WARNING: value z3 for option sas not known
% 0.13/0.35 % (15239)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)
% 0.13/0.35 % (15234)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (15236)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (15238)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)
% 0.13/0.35 % (15237)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)
% 0.13/0.35 % (15235)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)
% 0.13/0.36 % (15233)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (15234)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (15234)Terminated due to inappropriate strategy.
% 0.13/0.36 % (15234)------------------------------
% 0.13/0.36 % (15234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (15234)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (15234)Memory used [KB]: 920
% 0.13/0.36 % (15234)Time elapsed: 0.005 s
% 0.13/0.36 % (15236)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (15234)Instructions burned: 9 (million)
% 0.13/0.36 % (15236)Terminated due to inappropriate strategy.
% 0.13/0.36 % (15236)------------------------------
% 0.13/0.36 % (15236)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (15236)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (15236)Memory used [KB]: 921
% 0.13/0.36 % (15236)Time elapsed: 0.005 s
% 0.13/0.36 % (15236)Instructions burned: 9 (million)
% 0.13/0.36 % (15236)------------------------------
% 0.13/0.36 % (15236)------------------------------
% 0.13/0.36 % (15234)------------------------------
% 0.13/0.36 % (15234)------------------------------
% 0.13/0.36 % (15233)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (15233)Terminated due to inappropriate strategy.
% 0.13/0.36 % (15233)------------------------------
% 0.13/0.36 % (15233)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (15233)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (15233)Memory used [KB]: 920
% 0.13/0.36 % (15233)Time elapsed: 0.006 s
% 0.13/0.36 % (15233)Instructions burned: 9 (million)
% 0.13/0.36 % (15233)------------------------------
% 0.13/0.36 % (15233)------------------------------
% 0.13/0.37 % (15241)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)
% 0.13/0.37 % (15240)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.38 % (15242)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)
% 0.13/0.38 % (15240)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (15240)Terminated due to inappropriate strategy.
% 0.13/0.38 % (15240)------------------------------
% 0.13/0.38 % (15240)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (15240)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (15240)Memory used [KB]: 912
% 0.13/0.38 % (15240)Time elapsed: 0.005 s
% 0.13/0.38 % (15240)Instructions burned: 9 (million)
% 0.13/0.38 % (15240)------------------------------
% 0.13/0.38 % (15240)------------------------------
% 0.13/0.38 % (15238)First to succeed.
% 0.18/0.39 % (15238)Refutation found. Thanks to Tanya!
% 0.18/0.39 % SZS status Theorem for theBenchmark
% 0.18/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.39 % (15238)------------------------------
% 0.18/0.39 % (15238)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.39 % (15238)Termination reason: Refutation
% 0.18/0.39
% 0.18/0.39 % (15238)Memory used [KB]: 1313
% 0.18/0.39 % (15238)Time elapsed: 0.031 s
% 0.18/0.39 % (15238)Instructions burned: 56 (million)
% 0.18/0.39 % (15238)------------------------------
% 0.18/0.39 % (15238)------------------------------
% 0.18/0.39 % (15232)Success in time 0.048 s
%------------------------------------------------------------------------------