TSTP Solution File: SWW616_2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW616_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 04:20:19 EDT 2024
% Result : Theorem 0.65s 0.84s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 64
% Syntax : Number of formulae : 92 ( 16 unt; 56 typ; 0 def)
% Number of atoms : 459 ( 115 equ)
% Maximal formula atoms : 52 ( 12 avg)
% Number of connectives : 675 ( 252 ~; 58 |; 299 &)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 1835 ( 343 atm; 924 fun; 377 num; 191 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 66 ( 30 >; 36 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 53 ( 47 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(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(f335,plain,
$false,
inference(unit_resulting_resolution,[],[f155,f177,f249,f184]) ).
tff(f184,plain,
! [X12: $int] :
( ~ $less(sK9,sum(sK1,X12,sK5))
| $less(sK5,X12)
| $less(X12,sK2) ),
inference(forward_demodulation,[],[f183,f171]) ).
tff(f171,plain,
sum(sK1,sK8,sK5) = sK9,
inference(definition_unfolding,[],[f149,f153]) ).
tff(f153,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f137]) ).
tff(f137,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])],[f130,f136,f135,f134,f133,f132,f131]) ).
tff(f131,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(f132,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(f133,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(f134,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(f135,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(f136,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(f130,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,[],[f116]) ).
tff(f116,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,[],[f115]) ).
tff(f115,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,[],[f86]) ).
tff(f86,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/tmp/tmp.RqAC1vZz5g/Vampire---4.8_1463',wP_parameter_maximum_subarray_rec) ).
tff(f149,plain,
sK7 = sum(sK1,sK8,sK5),
inference(cnf_transformation,[],[f137]) ).
tff(f183,plain,
! [X12: $int] :
( ~ $less(sum(sK1,sK8,sK5),sum(sK1,X12,sK5))
| $less(sK5,X12)
| $less(X12,sK2) ),
inference(forward_demodulation,[],[f176,f148]) ).
tff(f148,plain,
$sum(sK2,div($sum(sK3,$uminus(sK2)),2)) = sK5,
inference(cnf_transformation,[],[f137]) ).
tff(f176,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,[],[f152,f148]) ).
tff(f152,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,[],[f137]) ).
tff(f249,plain,
$less(sK9,sum(sK1,sK10,sK5)),
inference(backward_demodulation,[],[f169,f246]) ).
tff(f246,plain,
sK5 = sK11,
inference(unit_resulting_resolution,[],[f178,f179,f94]) ).
tff(f94,plain,
! [X0: $int,X1: $int] :
( ( X0 = X1 )
| $less(X1,X0)
| $less(X0,X1) ),
introduced(theory_axiom_144,[]) ).
tff(f179,plain,
~ $less(sK5,sK11),
inference(backward_demodulation,[],[f158,f148]) ).
tff(f158,plain,
~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK11),
inference(cnf_transformation,[],[f137]) ).
tff(f178,plain,
~ $less(sK11,sK5),
inference(backward_demodulation,[],[f157,f148]) ).
tff(f157,plain,
~ $less(sK11,$sum(sK2,div($sum(sK3,$uminus(sK2)),2))),
inference(cnf_transformation,[],[f137]) ).
tff(f169,plain,
$less(sK9,sum(sK1,sK10,sK11)),
inference(definition_unfolding,[],[f159,f153]) ).
tff(f159,plain,
$less(sK7,sum(sK1,sK10,sK11)),
inference(cnf_transformation,[],[f137]) ).
tff(f177,plain,
~ $less(sK5,sK10),
inference(backward_demodulation,[],[f156,f148]) ).
tff(f156,plain,
~ $less($sum(sK2,div($sum(sK3,$uminus(sK2)),2)),sK10),
inference(cnf_transformation,[],[f137]) ).
tff(f155,plain,
~ $less(sK10,sK2),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWW616_2 : TPTP v8.1.2. Released v6.1.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 17:50:17 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TF0_THM_EQU_ARI problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.RqAC1vZz5g/Vampire---4.8_1463
% 0.65/0.83 % (1582)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.83 % (1581)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.83 % (1580)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.83 % (1578)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.83 % (1583)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.83 % (1579)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.65/0.83 % (1584)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.65/0.83 % (1585)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.65/0.84 % (1581)First to succeed.
% 0.65/0.84 % (1581)Refutation found. Thanks to Tanya!
% 0.65/0.84 % SZS status Theorem for Vampire---4
% 0.65/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.84 % (1581)------------------------------
% 0.65/0.84 % (1581)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84 % (1581)Termination reason: Refutation
% 0.65/0.84
% 0.65/0.84 % (1581)Memory used [KB]: 1268
% 0.65/0.84 % (1581)Time elapsed: 0.014 s
% 0.65/0.84 % (1581)Instructions burned: 24 (million)
% 0.65/0.84 % (1581)------------------------------
% 0.65/0.84 % (1581)------------------------------
% 0.65/0.84 % (1573)Success in time 0.505 s
% 0.65/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------