TSTP Solution File: SWW647_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW647_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:09:17 EDT 2022
% Result : Theorem 6.57s 1.20s
% Output : Refutation 6.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 139
% Syntax : Number of formulae : 446 ( 43 unt; 52 typ; 0 def)
% Number of atoms : 1199 ( 272 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 1210 ( 405 ~; 462 |; 172 &)
% ( 60 <=>; 111 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 3728 ( 558 atm;1313 fun;1433 num; 424 var)
% Number of types : 7 ( 5 usr; 1 ari)
% Number of type conns : 77 ( 33 >; 44 *; 0 +; 0 <<)
% Number of predicates : 70 ( 66 usr; 60 prp; 0-3 aty)
% Number of functors : 53 ( 40 usr; 21 con; 0-6 aty)
% Number of variables : 489 ( 455 !; 34 ?; 485 :)
% 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,
lpintcm_intcm_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,
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,
abs1: $int > $int ).
tff(func_def_20,type,
power1: ( $int * $int ) > $int ).
tff(func_def_23,type,
sum_digits1: $int > $int ).
tff(func_def_25,type,
tuple3: ( ty * ty * ty ) > ty ).
tff(func_def_26,type,
tuple31: ( ty * ty * ty * uni * uni * uni ) > uni ).
tff(func_def_27,type,
tuple3_proj_11: ( ty * ty * ty * uni ) > uni ).
tff(func_def_28,type,
tuple3_proj_21: ( ty * ty * ty * uni ) > uni ).
tff(func_def_29,type,
tuple3_proj_31: ( ty * ty * ty * uni ) > uni ).
tff(func_def_30,type,
t2tb: lpintcm_intcm_intrp > uni ).
tff(func_def_31,type,
tb2t: uni > lpintcm_intcm_intrp ).
tff(func_def_32,type,
t2tb1: $int > uni ).
tff(func_def_33,type,
tb2t1: uni > $int ).
tff(func_def_35,type,
num_of1: ( lpintcm_intcm_intrp * $int * $int ) > $int ).
tff(func_def_36,type,
solution1: ( $int * $int * $int ) > $int ).
tff(func_def_37,type,
num_of_modc1: ( lpintcm_intcm_intrp * $int * $int ) > $int ).
tff(func_def_38,type,
div2: ( $int * $int ) > $int ).
tff(func_def_39,type,
mod2: ( $int * $int ) > $int ).
tff(func_def_41,type,
sK0: ( $int * lpintcm_intcm_intrp * $int * lpintcm_intcm_intrp ) > $int ).
tff(func_def_42,type,
sK1: ( $int * lpintcm_intcm_intrp * $int ) > $int ).
tff(func_def_43,type,
sK2: ( $int * $int * lpintcm_intcm_intrp ) > $int ).
tff(func_def_44,type,
sK3: $int ).
tff(func_def_45,type,
sK4: $int ).
tff(func_def_46,type,
sK5: $int ).
tff(func_def_47,type,
sK6: $int ).
tff(func_def_48,type,
sK7: $int ).
tff(func_def_49,type,
sK8: $int ).
tff(func_def_50,type,
sK9: ( $int * lpintcm_intcm_intrp * lpintcm_intcm_intrp * $int ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_4,type,
p1: ( lpintcm_intcm_intrp * $int ) > $o ).
tff(pred_def_5,type,
sP10: bool1 > $o ).
tff(pred_def_6,type,
sP11: $int > $o ).
tff(pred_def_7,type,
sP12: $int > $o ).
tff(pred_def_8,type,
sP13: $int > $o ).
tff(pred_def_9,type,
sP14: ( lpintcm_intcm_intrp * $int * $int ) > $o ).
tff(f972,plain,
$false,
inference(avatar_smt_refutation,[],[f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f575,f668,f677,f682,f691,f696,f705,f706,f728,f733,f738,f744,f745,f746,f751,f752,f757,f767,f844,f849,f862,f863,f867,f872,f873,f877,f886,f891,f896,f901,f902,f906,f911,f915,f916,f917,f918,f919,f920,f927,f936,f941,f942,f948,f971]) ).
tff(f971,plain,
( spl15_55
| spl15_56
| spl15_57
| spl15_58
| spl15_59
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f950,f924,f968,f964,f960,f956,f952]) ).
tff(f952,plain,
( spl15_55
<=> $less(0,$sum(-9,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
tff(f956,plain,
( spl15_56
<=> ( sK8 = $sum(sK7,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
tff(f960,plain,
( spl15_57
<=> $less(0,$sum(1,$uminus(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
tff(f964,plain,
( spl15_58
<=> $less(0,$sum(0,$uminus(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
tff(f968,plain,
( spl15_59
<=> $less(0,$sum(0,$uminus(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
tff(f924,plain,
( spl15_51
<=> ( $sum(sK7,solution1($quotient_e($sum($product(137,sK6),sK3),10),$sum($sum($remainder_e($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) = sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
tff(f950,plain,
( $less(0,$sum(0,$uminus(sK6)))
| $less(0,$sum(0,$uminus(sK3)))
| $less(0,$sum(1,$uminus(sK4)))
| ( sK8 = $sum(sK7,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4))) )
| $less(0,$sum(-9,sK6))
| ~ spl15_51 ),
inference(superposition,[],[f926,f441]) ).
tff(f441,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X3),t2tb1(X1),t2tb1(X0))),0,power1(10,X2)) = solution1($quotient_e($sum($product(137,X0),X3),10),$sum($sum($remainder_e($sum($product(137,X0),X3),10),X1),$uminus(X0)),$sum(X2,-1)) )
| $less(0,$sum(-9,X0))
| $less(0,$sum(1,$uminus(X2)))
| $less(0,$sum(0,$uminus(X3)))
| $less(0,$sum(0,$uminus(X0))) ),
inference(evaluation,[],[f409]) ).
tff(f409,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X3),t2tb1(X1),t2tb1(X0))),0,power1(10,X2)) = solution1($quotient_e($sum($product(137,X0),X3),10),$sum($sum($remainder_e($sum($product(137,X0),X3),10),X1),$uminus(X0)),$sum(X2,$uminus(1))) )
| ~ $less(X0,10)
| ~ $less(0,X2)
| $less(X3,0)
| $less(X0,0) ),
inference(cnf_transformation,[],[f306]) ).
tff(f306,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( $less(X3,0)
| ~ $less(0,X2)
| ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X3),t2tb1(X1),t2tb1(X0))),0,power1(10,X2)) = solution1($quotient_e($sum($product(137,X0),X3),10),$sum($sum($remainder_e($sum($product(137,X0),X3),10),X1),$uminus(X0)),$sum(X2,$uminus(1))) )
| $less(X0,0)
| ~ $less(X0,10) ),
inference(rectify,[],[f232]) ).
tff(f232,plain,
! [X2: $int,X1: $int,X3: $int,X0: $int] :
( $less(X0,0)
| ~ $less(0,X3)
| ( solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) )
| $less(X2,0)
| ~ $less(X2,10) ),
inference(flattening,[],[f231]) ).
tff(f231,plain,
! [X3: $int,X2: $int,X0: $int,X1: $int] :
( ( solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) )
| ~ $less(0,X3)
| ~ $less(X2,10)
| $less(X2,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f124]) ).
tff(f124,plain,
! [X3: $int,X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,0)
=> ( ( $less(X2,10)
& ~ $less(X2,0) )
=> ( $less(0,X3)
=> ( solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) ) ) ) ),
inference(rectify,[],[f79]) ).
tff(f79,plain,
! [X0: $int,X16: $int,X17: $int,X9: $int] :
( ~ $less(X0,0)
=> ( ( ~ $less(X17,0)
& $less(X17,10) )
=> ( $less(0,X9)
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) = solution1($quotient_e($sum($product(137,X17),X0),10),$sum($sum($remainder_e($sum($product(137,X17),X0),10),X16),$uminus(X17)),$sum(X9,$uminus(1))) ) ) ) ),
inference(theory_normalization,[],[f58]) ).
tff(f58,axiom,
! [X0: $int,X16: $int,X17: $int,X9: $int] :
( $lesseq(0,X0)
=> ( ( $lesseq(0,X17)
& $less(X17,10) )
=> ( $less(0,X9)
=> ( solution1($quotient_e($sum($product(137,X17),X0),10),$difference($sum($remainder_e($sum($product(137,X17),X0),10),X16),X17),$difference(X9,1)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induc) ).
tff(f926,plain,
( ( $sum(sK7,solution1($quotient_e($sum($product(137,sK6),sK3),10),$sum($sum($remainder_e($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) = sK8 )
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f924]) ).
tff(f948,plain,
( spl15_54
| ~ spl15_34
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f943,f924,f837,f945]) ).
tff(f945,plain,
( spl15_54
<=> ( $sum(0,solution1($quotient_e($sum($product(137,sK6),sK3),10),$sum($sum($remainder_e($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) = sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
tff(f837,plain,
( spl15_34
<=> ( 0 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
tff(f943,plain,
( ( $sum(0,solution1($quotient_e($sum($product(137,sK6),sK3),10),$sum($sum($remainder_e($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) = sK8 )
| ~ spl15_34
| ~ spl15_51 ),
inference(forward_demodulation,[],[f926,f839]) ).
tff(f839,plain,
( ( 0 = sK7 )
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f837]) ).
tff(f942,plain,
( ~ spl15_52
| spl15_1
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f931,f837,f491,f933]) ).
tff(f933,plain,
( spl15_52
<=> sP13($sum(sK8,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
tff(f491,plain,
( spl15_1
<=> sP13($sum(sK8,$uminus(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
tff(f931,plain,
( ~ sP13($sum(sK8,0))
| spl15_1
| ~ spl15_34 ),
inference(evaluation,[],[f930]) ).
tff(f930,plain,
( ~ sP13($sum(sK8,$uminus(0)))
| spl15_1
| ~ spl15_34 ),
inference(superposition,[],[f493,f839]) ).
tff(f493,plain,
( ~ sP13($sum(sK8,$uminus(sK7)))
| spl15_1 ),
inference(avatar_component_clause,[],[f491]) ).
tff(f941,plain,
( ~ spl15_53
| spl15_15
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f929,f837,f568,f938]) ).
tff(f938,plain,
( spl15_53
<=> sP13($sum(sK8,abs1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
tff(f568,plain,
( spl15_15
<=> sP13($sum(sK8,abs1(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
tff(f929,plain,
( ~ sP13($sum(sK8,abs1(0)))
| spl15_15
| ~ spl15_34 ),
inference(superposition,[],[f570,f839]) ).
tff(f570,plain,
( ~ sP13($sum(sK8,abs1(sK7)))
| spl15_15 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f936,plain,
( ~ spl15_52
| spl15_33
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f928,f837,f764,f933]) ).
tff(f764,plain,
( spl15_33
<=> sP13($sum(sK8,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
tff(f928,plain,
( ~ sP13($sum(sK8,0))
| spl15_33
| ~ spl15_34 ),
inference(superposition,[],[f766,f839]) ).
tff(f766,plain,
( ~ sP13($sum(sK8,sK7))
| spl15_33 ),
inference(avatar_component_clause,[],[f764]) ).
tff(f927,plain,
( spl15_51
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f922,f536,f531,f516,f924]) ).
tff(f516,plain,
( spl15_6
<=> ( sK8 = $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
tff(f531,plain,
( spl15_9
<=> ( $remainder_e($sum($product(137,sK6),sK3),10) = mod2($sum($product(137,sK6),sK3),10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
tff(f536,plain,
( spl15_10
<=> ( $quotient_e($sum($product(137,sK6),sK3),10) = div2($sum($product(137,sK6),sK3),10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
tff(f922,plain,
( ( $sum(sK7,solution1($quotient_e($sum($product(137,sK6),sK3),10),$sum($sum($remainder_e($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) = sK8 )
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f921,f538]) ).
tff(f538,plain,
( ( $quotient_e($sum($product(137,sK6),sK3),10) = div2($sum($product(137,sK6),sK3),10) )
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f536]) ).
tff(f921,plain,
( ( $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum($remainder_e($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) = sK8 )
| ~ spl15_6
| ~ spl15_9 ),
inference(forward_demodulation,[],[f518,f533]) ).
tff(f533,plain,
( ( $remainder_e($sum($product(137,sK6),sK3),10) = mod2($sum($product(137,sK6),sK3),10) )
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f531]) ).
tff(f518,plain,
( ( sK8 = $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))) )
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f516]) ).
tff(f920,plain,
( spl15_34
| spl15_45
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f783,f541,f888,f837]) ).
tff(f888,plain,
( spl15_45
<=> $less(0,$sum(power1(10,sK4),$uminus(sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
tff(f541,plain,
( spl15_11
<=> ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
tff(f783,plain,
( $less(0,$sum(power1(10,sK4),$uminus(sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0))))
| ( 0 = sK7 )
| ~ spl15_11 ),
inference(superposition,[],[f543,f443]) ).
tff(f443,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( $less(0,$sum(X0,$uminus(sK1(X0,X1,X2))))
| ( 0 = num_of1(X1,X2,X0) ) ),
inference(evaluation,[],[f363]) ).
tff(f363,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( $less(sK1(X0,X1,X2),X0)
| ( 0 = num_of1(X1,X2,X0) ) ),
inference(cnf_transformation,[],[f280]) ).
tff(f280,plain,
! [X0: $int,X1: lpintcm_intcm_intrp,X2: $int] :
( ( 0 = num_of1(X1,X2,X0) )
| ( $less(sK1(X0,X1,X2),X0)
& ~ $less(sK1(X0,X1,X2),X2)
& p1(X1,sK1(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f278,f279]) ).
tff(f279,plain,
! [X0: $int,X1: lpintcm_intcm_intrp,X2: $int] :
( ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X2)
& p1(X1,X3) )
=> ( $less(sK1(X0,X1,X2),X0)
& ~ $less(sK1(X0,X1,X2),X2)
& p1(X1,sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f278,plain,
! [X0: $int,X1: lpintcm_intcm_intrp,X2: $int] :
( ( 0 = num_of1(X1,X2,X0) )
| ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X2)
& p1(X1,X3) ) ),
inference(rectify,[],[f205]) ).
tff(f205,plain,
! [X0: $int,X2: lpintcm_intcm_intrp,X1: $int] :
( ( 0 = num_of1(X2,X1,X0) )
| ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X1)
& p1(X2,X3) ) ),
inference(flattening,[],[f204]) ).
tff(f204,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( ( 0 = num_of1(X2,X1,X0) )
| ? [X3: $int] :
( p1(X2,X3)
& $less(X3,X0)
& ~ $less(X3,X1) ) ),
inference(ennf_transformation,[],[f143]) ).
tff(f143,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( ! [X3: $int] :
( ( $less(X3,X0)
& ~ $less(X3,X1) )
=> ~ p1(X2,X3) )
=> ( 0 = num_of1(X2,X1,X0) ) ),
inference(rectify,[],[f90]) ).
tff(f90,plain,
! [X16: $int,X0: $int,X18: lpintcm_intcm_intrp] :
( ! [X8: $int] :
( ( $less(X8,X16)
& ~ $less(X8,X0) )
=> ~ p1(X18,X8) )
=> ( 0 = num_of1(X18,X0,X16) ) ),
inference(theory_normalization,[],[f48]) ).
tff(f48,axiom,
! [X16: $int,X0: $int,X18: lpintcm_intcm_intrp] :
( ! [X8: $int] :
( ( $less(X8,X16)
& $lesseq(X0,X8) )
=> ~ p1(X18,X8) )
=> ( 0 = num_of1(X18,X0,X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty) ).
tff(f543,plain,
( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) = sK7 )
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f541]) ).
tff(f919,plain,
( spl15_47
| spl15_37
| spl15_38
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f819,f541,f855,f851,f898]) ).
tff(f898,plain,
( spl15_47
<=> $less(0,$sum(1,sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).
tff(f851,plain,
( spl15_37
<=> $less(0,$sum(0,$uminus(power1(10,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
tff(f855,plain,
( spl15_38
<=> ( $sum(power1(10,sK4),0) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
tff(f819,plain,
( ( $sum(power1(10,sK4),0) = sK7 )
| $less(0,$sum(0,$uminus(power1(10,sK4))))
| $less(0,$sum(1,sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))))))
| ~ spl15_11 ),
inference(evaluation,[],[f808]) ).
tff(f808,plain,
( $less(0,$sum(0,$uminus(power1(10,sK4))))
| $less(0,$sum($sum(sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))),1),$uminus(0)))
| ( sK7 = $sum(power1(10,sK4),$uminus(0)) )
| ~ spl15_11 ),
inference(superposition,[],[f455,f543]) ).
tff(f455,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(0,$sum(X0,$uminus(X1)))
| $less(0,$sum($sum(sK2(X0,X1,X2),1),$uminus(X0)))
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) ) ),
inference(evaluation,[],[f379]) ).
tff(f379,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(X1,X0)
| ~ $less(sK2(X0,X1,X2),X0)
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f290]) ).
tff(f290,plain,
! [X0: $int,X1: $int,X2: lpintcm_intcm_intrp] :
( $less(X1,X0)
| ( ~ $less(sK2(X0,X1,X2),X0)
& ~ p1(X2,sK2(X0,X1,X2))
& $less(sK2(X0,X1,X2),X1) )
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f288,f289]) ).
tff(f289,plain,
! [X0: $int,X1: $int,X2: lpintcm_intcm_intrp] :
( ? [X3: $int] :
( ~ $less(X3,X0)
& ~ p1(X2,X3)
& $less(X3,X1) )
=> ( ~ $less(sK2(X0,X1,X2),X0)
& ~ p1(X2,sK2(X0,X1,X2))
& $less(sK2(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f288,plain,
! [X0: $int,X1: $int,X2: lpintcm_intcm_intrp] :
( $less(X1,X0)
| ? [X3: $int] :
( ~ $less(X3,X0)
& ~ p1(X2,X3)
& $less(X3,X1) )
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) ) ),
inference(rectify,[],[f246]) ).
tff(f246,plain,
! [X1: $int,X0: $int,X2: lpintcm_intcm_intrp] :
( $less(X0,X1)
| ? [X3: $int] :
( ~ $less(X3,X1)
& ~ p1(X2,X3)
& $less(X3,X0) )
| ( $sum(X0,$uminus(X1)) = num_of1(X2,X1,X0) ) ),
inference(flattening,[],[f245]) ).
tff(f245,plain,
! [X1: $int,X2: lpintcm_intcm_intrp,X0: $int] :
( ( $sum(X0,$uminus(X1)) = num_of1(X2,X1,X0) )
| ? [X3: $int] :
( ~ p1(X2,X3)
& $less(X3,X0)
& ~ $less(X3,X1) )
| $less(X0,X1) ),
inference(ennf_transformation,[],[f177]) ).
tff(f177,plain,
! [X1: $int,X2: lpintcm_intcm_intrp,X0: $int] :
( ~ $less(X0,X1)
=> ( ! [X3: $int] :
( ( $less(X3,X0)
& ~ $less(X3,X1) )
=> p1(X2,X3) )
=> ( $sum(X0,$uminus(X1)) = num_of1(X2,X1,X0) ) ) ),
inference(rectify,[],[f108]) ).
tff(f108,plain,
! [X16: $int,X0: $int,X18: lpintcm_intcm_intrp] :
( ~ $less(X16,X0)
=> ( ! [X8: $int] :
( ( $less(X8,X16)
& ~ $less(X8,X0) )
=> p1(X18,X8) )
=> ( num_of1(X18,X0,X16) = $sum(X16,$uminus(X0)) ) ) ),
inference(theory_normalization,[],[f49]) ).
tff(f49,axiom,
! [X16: $int,X0: $int,X18: lpintcm_intcm_intrp] :
( $lesseq(X0,X16)
=> ( ! [X8: $int] :
( ( $less(X8,X16)
& $lesseq(X0,X8) )
=> p1(X18,X8) )
=> ( num_of1(X18,X0,X16) = $difference(X16,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full) ).
tff(f918,plain,
( spl15_35
| spl15_34
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f820,f541,f837,f841]) ).
tff(f841,plain,
( spl15_35
<=> $less(0,$sum(power1(10,sK4),0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
tff(f820,plain,
( ( 0 = sK7 )
| $less(0,$sum(power1(10,sK4),0))
| ~ spl15_11 ),
inference(evaluation,[],[f790]) ).
tff(f790,plain,
( $less(0,$sum(power1(10,sK4),$uminus(0)))
| ( 0 = sK7 )
| ~ spl15_11 ),
inference(superposition,[],[f428,f543]) ).
tff(f428,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ( 0 = num_of1(X2,X0,X1) ) ),
inference(evaluation,[],[f336]) ).
tff(f336,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(X0,X1)
| ( 0 = num_of1(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f265]) ).
tff(f265,plain,
! [X0: $int,X1: $int,X2: lpintcm_intcm_intrp] :
( $less(X0,X1)
| ( 0 = num_of1(X2,X0,X1) ) ),
inference(rectify,[],[f210]) ).
tff(f210,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( $less(X2,X0)
| ( 0 = num_of1(X1,X2,X0) ) ),
inference(ennf_transformation,[],[f169]) ).
tff(f169,plain,
! [X0: $int,X1: lpintcm_intcm_intrp,X2: $int] :
( ~ $less(X2,X0)
=> ( 0 = num_of1(X1,X2,X0) ) ),
inference(rectify,[],[f103]) ).
tff(f103,plain,
! [X16: $int,X18: lpintcm_intcm_intrp,X0: $int] :
( ~ $less(X0,X16)
=> ( 0 = num_of1(X18,X0,X16) ) ),
inference(theory_normalization,[],[f41]) ).
tff(f41,axiom,
! [X16: $int,X18: lpintcm_intcm_intrp,X0: $int] :
( $lesseq(X16,X0)
=> ( 0 = num_of1(X18,X0,X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_empty) ).
tff(f917,plain,
( spl15_16
| spl15_43
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f821,f541,f879,f572]) ).
tff(f572,plain,
( spl15_16
<=> $less(0,$sum(1,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
tff(f879,plain,
( spl15_43
<=> $less(0,$sum(1,$uminus(power1(10,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
tff(f821,plain,
( $less(0,$sum(1,$uminus(power1(10,sK4))))
| $less(0,$sum(1,sK7))
| ~ spl15_11 ),
inference(evaluation,[],[f816]) ).
tff(f816,plain,
( $less(0,$sum(1,sK7))
| $less(0,$sum($sum(0,1),$uminus(power1(10,sK4))))
| ~ spl15_11 ),
inference(superposition,[],[f468,f543]) ).
tff(f468,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( $less(0,$sum(1,num_of1(X1,X2,X0)))
| $less(0,$sum($sum(X2,1),$uminus(X0))) ),
inference(evaluation,[],[f399]) ).
tff(f399,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( ~ $less(num_of1(X1,X2,X0),0)
| ~ $less(X2,X0) ),
inference(cnf_transformation,[],[f300]) ).
tff(f300,plain,
! [X0: $int,X1: lpintcm_intcm_intrp,X2: $int] :
( ~ $less(X2,X0)
| ( ~ $less($sum(X0,$uminus(X2)),num_of1(X1,X2,X0))
& ~ $less(num_of1(X1,X2,X0),0) ) ),
inference(rectify,[],[f188]) ).
tff(f188,plain,
! [X2: $int,X0: lpintcm_intcm_intrp,X1: $int] :
( ~ $less(X1,X2)
| ( ~ $less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2))
& ~ $less(num_of1(X0,X1,X2),0) ) ),
inference(ennf_transformation,[],[f138]) ).
tff(f138,plain,
! [X2: $int,X1: $int,X0: lpintcm_intcm_intrp] :
( $less(X1,X2)
=> ( ~ $less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2))
& ~ $less(num_of1(X0,X1,X2),0) ) ),
inference(rectify,[],[f88]) ).
tff(f88,plain,
! [X18: lpintcm_intcm_intrp,X0: $int,X16: $int] :
( $less(X0,X16)
=> ( ~ $less($sum(X16,$uminus(X0)),num_of1(X18,X0,X16))
& ~ $less(num_of1(X18,X0,X16),0) ) ),
inference(theory_normalization,[],[f44]) ).
tff(f44,axiom,
! [X18: lpintcm_intcm_intrp,X0: $int,X16: $int] :
( $less(X0,X16)
=> ( $lesseq(num_of1(X18,X0,X16),$difference(X16,X0))
& $lesseq(0,num_of1(X18,X0,X16)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_bounds) ).
tff(f916,plain,
( spl15_34
| spl15_46
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f822,f541,f893,f837]) ).
tff(f893,plain,
( spl15_46
<=> $less(0,$sum(1,sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
tff(f822,plain,
( $less(0,$sum(1,sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0)))
| ( 0 = sK7 )
| ~ spl15_11 ),
inference(evaluation,[],[f813]) ).
tff(f813,plain,
( $less(0,$sum($sum(sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0),1),$uminus(0)))
| ( 0 = sK7 )
| ~ spl15_11 ),
inference(superposition,[],[f461,f543]) ).
tff(f461,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( $less(0,$sum($sum(sK1(X0,X1,X2),1),$uminus(X2)))
| ( 0 = num_of1(X1,X2,X0) ) ),
inference(evaluation,[],[f362]) ).
tff(f362,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( ~ $less(sK1(X0,X1,X2),X2)
| ( 0 = num_of1(X1,X2,X0) ) ),
inference(cnf_transformation,[],[f280]) ).
tff(f915,plain,
( spl15_37
| spl15_50
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f823,f541,f913,f851]) ).
tff(f913,plain,
( spl15_50
<=> ! [X6: $int] :
( ( $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),X6,0),sK7) = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),X6,power1(10,sK4)) )
| $less(0,$sum(X6,0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
tff(f823,plain,
( ! [X6: $int] :
( ( $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),X6,0),sK7) = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),X6,power1(10,sK4)) )
| $less(0,$sum(X6,0))
| $less(0,$sum(0,$uminus(power1(10,sK4)))) )
| ~ spl15_11 ),
inference(evaluation,[],[f799]) ).
tff(f799,plain,
( ! [X6: $int] :
( $less(0,$sum(0,$uminus(power1(10,sK4))))
| ( $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),X6,0),sK7) = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),X6,power1(10,sK4)) )
| $less(0,$sum(X6,$uminus(0))) )
| ~ spl15_11 ),
inference(superposition,[],[f444,f543]) ).
tff(f444,plain,
! [X2: $int,X3: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(0,$sum(X0,$uminus(X1)))
| $less(0,$sum(X2,$uminus(X0)))
| ( num_of1(X3,X2,X1) = $sum(num_of1(X3,X2,X0),num_of1(X3,X0,X1)) ) ),
inference(evaluation,[],[f410]) ).
tff(f410,plain,
! [X2: $int,X3: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X2)
| ( num_of1(X3,X2,X1) = $sum(num_of1(X3,X2,X0),num_of1(X3,X0,X1)) ) ),
inference(cnf_transformation,[],[f307]) ).
tff(f307,plain,
! [X0: $int,X1: $int,X2: $int,X3: lpintcm_intcm_intrp] :
( $less(X0,X2)
| ( num_of1(X3,X2,X1) = $sum(num_of1(X3,X2,X0),num_of1(X3,X0,X1)) )
| $less(X1,X0) ),
inference(rectify,[],[f235]) ).
tff(f235,plain,
! [X0: $int,X3: $int,X1: $int,X2: lpintcm_intcm_intrp] :
( $less(X0,X1)
| ( $sum(num_of1(X2,X1,X0),num_of1(X2,X0,X3)) = num_of1(X2,X1,X3) )
| $less(X3,X0) ),
inference(flattening,[],[f234]) ).
tff(f234,plain,
! [X3: $int,X1: $int,X2: lpintcm_intcm_intrp,X0: $int] :
( ( $sum(num_of1(X2,X1,X0),num_of1(X2,X0,X3)) = num_of1(X2,X1,X3) )
| $less(X0,X1)
| $less(X3,X0) ),
inference(ennf_transformation,[],[f146]) ).
tff(f146,plain,
! [X3: $int,X1: $int,X2: lpintcm_intcm_intrp,X0: $int] :
( ( ~ $less(X0,X1)
& ~ $less(X3,X0) )
=> ( $sum(num_of1(X2,X1,X0),num_of1(X2,X0,X3)) = num_of1(X2,X1,X3) ) ),
inference(rectify,[],[f92]) ).
tff(f92,plain,
! [X16: $int,X0: $int,X18: lpintcm_intcm_intrp,X17: $int] :
( ( ~ $less(X17,X16)
& ~ $less(X16,X0) )
=> ( num_of1(X18,X0,X17) = $sum(num_of1(X18,X0,X16),num_of1(X18,X16,X17)) ) ),
inference(theory_normalization,[],[f45]) ).
tff(f45,axiom,
! [X16: $int,X0: $int,X18: lpintcm_intcm_intrp,X17: $int] :
( ( $lesseq(X16,X17)
& $lesseq(X0,X16) )
=> ( num_of1(X18,X0,X17) = $sum(num_of1(X18,X0,X16),num_of1(X18,X16,X17)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_append) ).
tff(f911,plain,
( spl15_49
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f787,f541,f908]) ).
tff(f908,plain,
( spl15_49
<=> ( $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1($sum(sK6,1)))),0,power1(10,sK4)),$uminus(sK7)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
tff(f787,plain,
( ( $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1($sum(sK6,1)))),0,power1(10,sK4)),$uminus(sK7)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) )
| ~ spl15_11 ),
inference(superposition,[],[f402,f543]) ).
tff(f402,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int,X4: $int] : ( $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X4),t2tb1($sum(X3,1)))),X1,X0),$uminus(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X4),t2tb1(X3))),X1,X0))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X4),t2tb1(X3))),X1,X0) ),
inference(cnf_transformation,[],[f301]) ).
tff(f301,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int] : ( $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X4),t2tb1($sum(X3,1)))),X1,X0),$uminus(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X4),t2tb1(X3))),X1,X0))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X4),t2tb1(X3))),X1,X0) ),
inference(rectify,[],[f145]) ).
tff(f145,plain,
! [X3: $int,X4: $int,X1: $int,X0: $int,X2: $int] : ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X0))),X4,X3) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1($sum(X0,1)))),X4,X3),$uminus(num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X0))),X4,X3))) ),
inference(rectify,[],[f91]) ).
tff(f91,plain,
! [X17: $int,X0: $int,X16: $int,X7: $int,X1: $int] : ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),X1,X7) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1($sum(X17,1)))),X1,X7),$uminus(num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),X1,X7))) ),
inference(theory_normalization,[],[f55]) ).
tff(f55,axiom,
! [X17: $int,X0: $int,X16: $int,X7: $int,X1: $int] : ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),X1,X7) = $difference(num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1($sum(X17,1)))),X1,X7),num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),X1,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_modc_def) ).
tff(f906,plain,
( spl15_37
| spl15_48
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f796,f541,f904,f851]) ).
tff(f904,plain,
( spl15_48
<=> ! [X4: $int] :
( $less(0,$sum($sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,X4),1),$uminus(sK7)))
| $less(0,$sum(power1(10,sK4),$uminus(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
tff(f796,plain,
( ! [X4: $int] :
( $less(0,$sum($sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,X4),1),$uminus(sK7)))
| $less(0,$sum(power1(10,sK4),$uminus(X4)))
| $less(0,$sum(0,$uminus(power1(10,sK4)))) )
| ~ spl15_11 ),
inference(superposition,[],[f435,f543]) ).
tff(f435,plain,
! [X2: lpintcm_intcm_intrp,X3: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(num_of1(X2,X3,X1),1),$uminus(num_of1(X2,X3,X0))))
| $less(0,$sum(X0,$uminus(X1)))
| $less(0,$sum(X3,$uminus(X0))) ),
inference(evaluation,[],[f366]) ).
tff(f366,plain,
! [X2: lpintcm_intcm_intrp,X3: $int,X0: $int,X1: $int] :
( ~ $less(num_of1(X2,X3,X1),num_of1(X2,X3,X0))
| $less(X1,X0)
| $less(X0,X3) ),
inference(cnf_transformation,[],[f282]) ).
tff(f282,plain,
! [X0: $int,X1: $int,X2: lpintcm_intcm_intrp,X3: $int] :
( ~ $less(num_of1(X2,X3,X1),num_of1(X2,X3,X0))
| $less(X0,X3)
| $less(X1,X0) ),
inference(rectify,[],[f216]) ).
tff(f216,plain,
! [X3: $int,X1: $int,X0: lpintcm_intcm_intrp,X2: $int] :
( ~ $less(num_of1(X0,X2,X1),num_of1(X0,X2,X3))
| $less(X3,X2)
| $less(X1,X3) ),
inference(flattening,[],[f215]) ).
tff(f215,plain,
! [X3: $int,X2: $int,X1: $int,X0: lpintcm_intcm_intrp] :
( ~ $less(num_of1(X0,X2,X1),num_of1(X0,X2,X3))
| $less(X3,X2)
| $less(X1,X3) ),
inference(ennf_transformation,[],[f137]) ).
tff(f137,plain,
! [X3: $int,X2: $int,X1: $int,X0: lpintcm_intcm_intrp] :
( ( ~ $less(X3,X2)
& ~ $less(X1,X3) )
=> ~ $less(num_of1(X0,X2,X1),num_of1(X0,X2,X3)) ),
inference(rectify,[],[f87]) ).
tff(f87,plain,
! [X18: lpintcm_intcm_intrp,X19: $int,X14: $int,X15: $int] :
( ( ~ $less(X15,X14)
& ~ $less(X19,X15) )
=> ~ $less(num_of1(X18,X14,X19),num_of1(X18,X14,X15)) ),
inference(theory_normalization,[],[f50]) ).
tff(f50,axiom,
! [X18: lpintcm_intcm_intrp,X19: $int,X14: $int,X15: $int] :
( ( $lesseq(X14,X15)
& $lesseq(X15,X19) )
=> $lesseq(num_of1(X18,X14,X15),num_of1(X18,X14,X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_increasing) ).
tff(f902,plain,
( spl15_38
| spl15_37
| ~ spl15_41
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f824,f541,f869,f851,f855]) ).
tff(f869,plain,
( spl15_41
<=> p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
tff(f824,plain,
( ~ p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))
| $less(0,$sum(0,$uminus(power1(10,sK4))))
| ( $sum(power1(10,sK4),0) = sK7 )
| ~ spl15_11 ),
inference(evaluation,[],[f782]) ).
tff(f782,plain,
( ~ p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))
| ( sK7 = $sum(power1(10,sK4),$uminus(0)) )
| $less(0,$sum(0,$uminus(power1(10,sK4))))
| ~ spl15_11 ),
inference(superposition,[],[f543,f433]) ).
tff(f433,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( ~ p1(X2,sK2(X0,X1,X2))
| $less(0,$sum(X0,$uminus(X1)))
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) ) ),
inference(evaluation,[],[f378]) ).
tff(f378,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( ~ p1(X2,sK2(X0,X1,X2))
| $less(X1,X0)
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f290]) ).
tff(f901,plain,
( spl15_47
| spl15_38
| spl15_37
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f825,f541,f851,f855,f898]) ).
tff(f825,plain,
( $less(0,$sum(0,$uminus(power1(10,sK4))))
| ( $sum(power1(10,sK4),0) = sK7 )
| $less(0,$sum(1,sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))))))
| ~ spl15_11 ),
inference(evaluation,[],[f785]) ).
tff(f785,plain,
( $less(0,$sum($sum(sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))),1),$uminus(0)))
| $less(0,$sum(0,$uminus(power1(10,sK4))))
| ( sK7 = $sum(power1(10,sK4),$uminus(0)) )
| ~ spl15_11 ),
inference(superposition,[],[f543,f455]) ).
tff(f896,plain,
( spl15_46
| spl15_34
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f826,f541,f837,f893]) ).
tff(f826,plain,
( ( 0 = sK7 )
| $less(0,$sum(1,sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0)))
| ~ spl15_11 ),
inference(evaluation,[],[f786]) ).
tff(f786,plain,
( ( 0 = sK7 )
| $less(0,$sum($sum(sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0),1),$uminus(0)))
| ~ spl15_11 ),
inference(superposition,[],[f543,f461]) ).
tff(f891,plain,
( spl15_34
| spl15_45
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f798,f541,f888,f837]) ).
tff(f798,plain,
( $less(0,$sum(power1(10,sK4),$uminus(sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0))))
| ( 0 = sK7 )
| ~ spl15_11 ),
inference(superposition,[],[f443,f543]) ).
tff(f886,plain,
( spl15_43
| spl15_44
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f828,f541,f883,f879]) ).
tff(f883,plain,
( spl15_44
<=> $less(0,$sum($sum(1,power1(10,sK4)),$uminus(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
tff(f828,plain,
( $less(0,$sum($sum(1,power1(10,sK4)),$uminus(sK7)))
| $less(0,$sum(1,$uminus(power1(10,sK4))))
| ~ spl15_11 ),
inference(evaluation,[],[f789]) ).
tff(f789,plain,
( $less(0,$sum($sum(0,1),$uminus(power1(10,sK4))))
| $less(0,$sum($sum($sum(power1(10,sK4),$uminus(0)),1),$uminus(sK7)))
| ~ spl15_11 ),
inference(superposition,[],[f427,f543]) ).
tff(f427,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( $less(0,$sum($sum(X2,1),$uminus(X0)))
| $less(0,$sum($sum($sum(X0,$uminus(X2)),1),$uminus(num_of1(X1,X2,X0)))) ),
inference(evaluation,[],[f400]) ).
tff(f400,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( ~ $less(X2,X0)
| ~ $less($sum(X0,$uminus(X2)),num_of1(X1,X2,X0)) ),
inference(cnf_transformation,[],[f300]) ).
tff(f877,plain,
( spl15_37
| spl15_42
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f794,f541,f875,f851]) ).
tff(f875,plain,
( spl15_42
<=> ! [X2: $int] :
( sP14(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),power1(10,sK4),X2)
| $less(0,$sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,X2),$uminus(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
tff(f794,plain,
( ! [X2: $int] :
( sP14(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),power1(10,sK4),X2)
| $less(0,$sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,X2),$uminus(sK7)))
| $less(0,$sum(0,$uminus(power1(10,sK4)))) )
| ~ spl15_11 ),
inference(superposition,[],[f434,f543]) ).
tff(f434,plain,
! [X2: $int,X3: $int,X0: $int,X4: lpintcm_intcm_intrp] :
( sP14(X4,X0,X3)
| $less(0,$sum(X2,$uminus(X0)))
| $less(0,$sum(num_of1(X4,X2,X3),$uminus(num_of1(X4,X2,X0)))) ),
inference(evaluation,[],[f424]) ).
tff(f424,plain,
! [X2: $int,X3: $int,X0: $int,X4: lpintcm_intcm_intrp] :
( sP14(X4,X0,X3)
| $less(X0,X2)
| $less(num_of1(X4,X2,X0),num_of1(X4,X2,X3)) ),
inference(cnf_transformation,[],[f424_D]) ).
tff(f424_D,plain,
! [X3,X0,X4] :
( ! [X2] :
( $less(X0,X2)
| $less(num_of1(X4,X2,X0),num_of1(X4,X2,X3)) )
<=> ~ sP14(X4,X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).
tff(f873,plain,
( spl15_36
| spl15_34
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f788,f541,f837,f846]) ).
tff(f846,plain,
( spl15_36
<=> p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
tff(f788,plain,
( ( 0 = sK7 )
| p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0))
| ~ spl15_11 ),
inference(superposition,[],[f361,f543]) ).
tff(f361,plain,
! [X2: $int,X0: $int,X1: lpintcm_intcm_intrp] :
( ( 0 = num_of1(X1,X2,X0) )
| p1(X1,sK1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f280]) ).
tff(f872,plain,
( ~ spl15_41
| spl15_37
| spl15_38
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f831,f541,f855,f851,f869]) ).
tff(f831,plain,
( ( $sum(power1(10,sK4),0) = sK7 )
| $less(0,$sum(0,$uminus(power1(10,sK4))))
| ~ p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))
| ~ spl15_11 ),
inference(evaluation,[],[f793]) ).
tff(f793,plain,
( $less(0,$sum(0,$uminus(power1(10,sK4))))
| ~ p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))
| ( sK7 = $sum(power1(10,sK4),$uminus(0)) )
| ~ spl15_11 ),
inference(superposition,[],[f433,f543]) ).
tff(f867,plain,
( spl15_37
| spl15_40
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f800,f541,f865,f851]) ).
tff(f865,plain,
( spl15_40
<=> ! [X7: $int] :
( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,X7) = $sum(sK7,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),power1(10,sK4),X7)) )
| $less(0,$sum(power1(10,sK4),$uminus(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
tff(f800,plain,
( ! [X7: $int] :
( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,X7) = $sum(sK7,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),power1(10,sK4),X7)) )
| $less(0,$sum(power1(10,sK4),$uminus(X7)))
| $less(0,$sum(0,$uminus(power1(10,sK4)))) )
| ~ spl15_11 ),
inference(superposition,[],[f444,f543]) ).
tff(f863,plain,
( spl15_39
| spl15_38
| spl15_37
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f832,f541,f851,f855,f859]) ).
tff(f859,plain,
( spl15_39
<=> $less(0,$sum(power1(10,sK4),$uminus(sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
tff(f832,plain,
( $less(0,$sum(0,$uminus(power1(10,sK4))))
| ( $sum(power1(10,sK4),0) = sK7 )
| $less(0,$sum(power1(10,sK4),$uminus(sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))))
| ~ spl15_11 ),
inference(evaluation,[],[f805]) ).
tff(f805,plain,
( $less(0,$sum(0,$uminus(power1(10,sK4))))
| ( sK7 = $sum(power1(10,sK4),$uminus(0)) )
| $less(0,$sum(power1(10,sK4),$uminus(sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))))
| ~ spl15_11 ),
inference(superposition,[],[f451,f543]) ).
tff(f451,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(0,$sum(X0,$uminus(X1)))
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) )
| $less(0,$sum(X1,$uminus(sK2(X0,X1,X2)))) ),
inference(evaluation,[],[f377]) ).
tff(f377,plain,
! [X2: lpintcm_intcm_intrp,X0: $int,X1: $int] :
( $less(X1,X0)
| ( $sum(X1,$uminus(X0)) = num_of1(X2,X0,X1) )
| $less(sK2(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f290]) ).
tff(f862,plain,
( spl15_37
| spl15_38
| spl15_39
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f833,f541,f859,f855,f851]) ).
tff(f833,plain,
( $less(0,$sum(power1(10,sK4),$uminus(sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))))
| ( $sum(power1(10,sK4),0) = sK7 )
| $less(0,$sum(0,$uminus(power1(10,sK4))))
| ~ spl15_11 ),
inference(evaluation,[],[f784]) ).
tff(f784,plain,
( $less(0,$sum(0,$uminus(power1(10,sK4))))
| ( sK7 = $sum(power1(10,sK4),$uminus(0)) )
| $less(0,$sum(power1(10,sK4),$uminus(sK2(0,power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6)))))))
| ~ spl15_11 ),
inference(superposition,[],[f543,f451]) ).
tff(f849,plain,
( spl15_36
| spl15_34
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f780,f541,f837,f846]) ).
tff(f780,plain,
( ( 0 = sK7 )
| p1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),sK1(power1(10,sK4),tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0))
| ~ spl15_11 ),
inference(superposition,[],[f543,f361]) ).
tff(f844,plain,
( spl15_34
| spl15_35
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f835,f541,f841,f837]) ).
tff(f835,plain,
( $less(0,$sum(power1(10,sK4),0))
| ( 0 = sK7 )
| ~ spl15_11 ),
inference(evaluation,[],[f781]) ).
tff(f781,plain,
( $less(0,$sum(power1(10,sK4),$uminus(0)))
| ( 0 = sK7 )
| ~ spl15_11 ),
inference(superposition,[],[f543,f428]) ).
tff(f767,plain,
( spl15_32
| ~ spl15_33
| spl15_15 ),
inference(avatar_split_clause,[],[f758,f568,f764,f760]) ).
tff(f760,plain,
( spl15_32
<=> $less(0,$sum(0,$uminus(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
tff(f758,plain,
( ~ sP13($sum(sK8,sK7))
| $less(0,$sum(0,$uminus(sK7)))
| spl15_15 ),
inference(superposition,[],[f570,f465]) ).
tff(f465,plain,
! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| ( abs1(X0) = X0 ) ),
inference(evaluation,[],[f334]) ).
tff(f334,plain,
! [X0: $int] :
( $less(X0,0)
| ( abs1(X0) = X0 ) ),
inference(cnf_transformation,[],[f252]) ).
tff(f252,plain,
! [X0: $int] :
( ( $less(X0,0)
| ( abs1(X0) = X0 ) )
& ( ~ $less(X0,0)
| ( $uminus(X0) = abs1(X0) ) ) ),
inference(ennf_transformation,[],[f134]) ).
tff(f134,plain,
! [X0: $int] :
( ( $less(X0,0)
=> ( $uminus(X0) = abs1(X0) ) )
& ( ~ $less(X0,0)
=> ( abs1(X0) = X0 ) ) ),
inference(rectify,[],[f85]) ).
tff(f85,plain,
! [X1: $int] :
( ( ~ $less(X1,0)
=> ( abs1(X1) = X1 ) )
& ( $less(X1,0)
=> ( abs1(X1) = $uminus(X1) ) ) ),
inference(theory_normalization,[],[f13]) ).
tff(f13,axiom,
! [X1: $int] :
( ( $lesseq(0,X1)
=> ( abs1(X1) = X1 ) )
& ( ~ $lesseq(0,X1)
=> ( abs1(X1) = $uminus(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def) ).
tff(f757,plain,
( spl15_19
| spl15_31
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f716,f536,f754,f674]) ).
tff(f674,plain,
( spl15_19
<=> $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
tff(f754,plain,
( spl15_31
<=> $less(0,$sum($sum($sum($product(137,sK6),sK3),1),$uminus($quotient_e($sum($product(137,sK6),sK3),10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
tff(f716,plain,
( $less(0,$sum($sum($sum($product(137,sK6),sK3),1),$uminus($quotient_e($sum($product(137,sK6),sK3),10))))
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ~ spl15_10 ),
inference(evaluation,[],[f714]) ).
tff(f714,plain,
( $less(0,$sum(1,$uminus(10)))
| $less(0,$sum($sum($sum($product(137,sK6),sK3),1),$uminus($quotient_e($sum($product(137,sK6),sK3),10))))
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ~ spl15_10 ),
inference(superposition,[],[f472,f538]) ).
tff(f472,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($sum(X0,1),$uminus(div2(X0,X1))))
| $less(0,$sum(1,$uminus(X1)))
| $less(0,$sum(0,$uminus(X0))) ),
inference(evaluation,[],[f325]) ).
tff(f325,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,div2(X0,X1))
| ~ $less(0,X1)
| $less(X0,0) ),
inference(cnf_transformation,[],[f239]) ).
tff(f239,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X1)
| ( ~ $less(div2(X0,X1),0)
& ~ $less(X0,div2(X0,X1)) )
| $less(X0,0) ),
inference(flattening,[],[f238]) ).
tff(f238,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(div2(X0,X1),0)
& ~ $less(X0,div2(X0,X1)) )
| ~ $less(0,X1)
| $less(X0,0) ),
inference(ennf_transformation,[],[f136]) ).
tff(f136,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X1)
& ~ $less(X0,0) )
=> ( ~ $less(div2(X0,X1),0)
& ~ $less(X0,div2(X0,X1)) ) ),
inference(rectify,[],[f86]) ).
tff(f86,plain,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& ~ $less(X1,0) )
=> ( ~ $less(div2(X1,X7),0)
& ~ $less(X1,div2(X1,X7)) ) ),
inference(theory_normalization,[],[f60]) ).
tff(f60,axiom,
! [X1: $int,X7: $int] :
( ( $less(0,X7)
& $lesseq(0,X1) )
=> ( $lesseq(0,div2(X1,X7))
& $lesseq(div2(X1,X7),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_bound1) ).
tff(f752,plain,
( spl15_27
| spl15_19
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f717,f536,f674,f730]) ).
tff(f730,plain,
( spl15_27
<=> $less(0,$sum(1,$quotient_e($sum($product(137,sK6),sK3),10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
tff(f717,plain,
( $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum(1,$quotient_e($sum($product(137,sK6),sK3),10)))
| ~ spl15_10 ),
inference(evaluation,[],[f711]) ).
tff(f711,plain,
( $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum(1,$uminus(10)))
| $less(0,$sum(1,$quotient_e($sum($product(137,sK6),sK3),10)))
| ~ spl15_10 ),
inference(superposition,[],[f431,f538]) ).
tff(f431,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X0)))
| $less(0,$sum(1,$uminus(X1)))
| $less(0,$sum(1,div2(X0,X1))) ),
inference(evaluation,[],[f326]) ).
tff(f326,plain,
! [X0: $int,X1: $int] :
( $less(X0,0)
| ~ $less(0,X1)
| ~ $less(div2(X0,X1),0) ),
inference(cnf_transformation,[],[f239]) ).
tff(f751,plain,
( spl15_30
| spl15_24
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f718,f536,f698,f748]) ).
tff(f748,plain,
( spl15_30
<=> $less(0,$sum(1,$uminus($quotient_e($sum($product(137,sK6),sK3),10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
tff(f698,plain,
( spl15_24
<=> $less(0,$sum($product(137,sK6),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
tff(f718,plain,
( $less(0,$sum($product(137,sK6),sK3))
| $less(0,$sum(1,$uminus($quotient_e($sum($product(137,sK6),sK3),10))))
| ~ spl15_10 ),
inference(evaluation,[],[f712]) ).
tff(f712,plain,
( $less(0,$sum(1,$uminus($quotient_e($sum($product(137,sK6),sK3),10))))
| $less(0,$sum(1,$uminus(10)))
| $less(0,$sum($product(137,sK6),sK3))
| ~ spl15_10 ),
inference(superposition,[],[f453,f538]) ).
tff(f453,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(1,$uminus(div2(X0,X1))))
| $less(0,X0)
| $less(0,$sum(1,$uminus(X1))) ),
inference(evaluation,[],[f330]) ).
tff(f330,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div2(X0,X1))
| $less(0,X0)
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div2(X0,X1))
| ~ $less(0,X1)
| $less(0,X0) ),
inference(flattening,[],[f200]) ).
tff(f200,plain,
! [X1: $int,X0: $int] :
( ~ $less(0,div2(X0,X1))
| $less(0,X0)
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f160]) ).
tff(f160,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X0)
& $less(0,X1) )
=> ~ $less(0,div2(X0,X1)) ),
inference(rectify,[],[f99]) ).
tff(f99,plain,
! [X1: $int,X7: $int] :
( ( ~ $less(0,X1)
& $less(0,X7) )
=> ~ $less(0,div2(X1,X7)) ),
inference(theory_normalization,[],[f63]) ).
tff(f63,axiom,
! [X1: $int,X7: $int] :
( ( $lesseq(X1,0)
& $less(0,X7) )
=> $lesseq(div2(X1,X7),0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_sign_neg) ).
tff(f746,plain,
( spl15_19
| spl15_22
| spl15_26
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f719,f536,f725,f688,f674]) ).
tff(f688,plain,
( spl15_22
<=> $less(0,$sum(-9,$sum($product(137,sK6),sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
tff(f725,plain,
( spl15_26
<=> ( 0 = $quotient_e($sum($product(137,sK6),sK3),10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
tff(f719,plain,
( ( 0 = $quotient_e($sum($product(137,sK6),sK3),10) )
| $less(0,$sum(-9,$sum($product(137,sK6),sK3)))
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ~ spl15_10 ),
inference(evaluation,[],[f713]) ).
tff(f713,plain,
( ( 0 = $quotient_e($sum($product(137,sK6),sK3),10) )
| $less(0,$sum($sum($sum($product(137,sK6),sK3),1),$uminus(10)))
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ~ spl15_10 ),
inference(superposition,[],[f460,f538]) ).
tff(f460,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($sum(X1,1),$uminus(X0)))
| ( 0 = div2(X1,X0) )
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f360]) ).
tff(f360,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ( 0 = div2(X1,X0) )
| $less(X1,0) ),
inference(cnf_transformation,[],[f222]) ).
tff(f222,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| ( 0 = div2(X1,X0) )
| ~ $less(X1,X0) ),
inference(flattening,[],[f221]) ).
tff(f221,plain,
! [X0: $int,X1: $int] :
( ( 0 = div2(X1,X0) )
| ~ $less(X1,X0)
| $less(X1,0) ),
inference(ennf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0: $int,X1: $int] :
( ( $less(X1,X0)
& ~ $less(X1,0) )
=> ( 0 = div2(X1,X0) ) ),
inference(rectify,[],[f94]) ).
tff(f94,plain,
! [X7: $int,X1: $int] :
( ( $less(X1,X7)
& ~ $less(X1,0) )
=> ( 0 = div2(X1,X7) ) ),
inference(theory_normalization,[],[f69]) ).
tff(f69,axiom,
! [X7: $int,X1: $int] :
( ( $less(X1,X7)
& $lesseq(0,X1) )
=> ( 0 = div2(X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf1) ).
tff(f745,plain,
( spl15_27
| spl15_19
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f720,f536,f674,f730]) ).
tff(f720,plain,
( $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum(1,$quotient_e($sum($product(137,sK6),sK3),10)))
| ~ spl15_10 ),
inference(evaluation,[],[f715]) ).
tff(f715,plain,
( $less(0,$sum(1,$uminus(10)))
| $less(0,$sum(1,$quotient_e($sum($product(137,sK6),sK3),10)))
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ~ spl15_10 ),
inference(superposition,[],[f473,f538]) ).
tff(f473,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(1,div2(X1,X0)))
| $less(0,$sum(1,$uminus(X0))) ),
inference(evaluation,[],[f342]) ).
tff(f342,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| ~ $less(div2(X1,X0),0)
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f268]) ).
tff(f268,plain,
! [X0: $int,X1: $int] :
( ~ $less(div2(X1,X0),0)
| ~ $less(0,X0)
| $less(X1,0) ),
inference(rectify,[],[f237]) ).
tff(f237,plain,
! [X1: $int,X0: $int] :
( ~ $less(div2(X0,X1),0)
| ~ $less(0,X1)
| $less(X0,0) ),
inference(flattening,[],[f236]) ).
tff(f236,plain,
! [X0: $int,X1: $int] :
( ~ $less(div2(X0,X1),0)
| ~ $less(0,X1)
| $less(X0,0) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
& ~ $less(X0,0) )
=> ~ $less(div2(X0,X1),0) ),
inference(rectify,[],[f80]) ).
tff(f80,plain,
! [X1: $int,X7: $int] :
( ( ~ $less(X1,0)
& $less(0,X7) )
=> ~ $less(div2(X1,X7),0) ),
inference(theory_normalization,[],[f62]) ).
tff(f62,axiom,
! [X1: $int,X7: $int] :
( ( $lesseq(0,X1)
& $less(0,X7) )
=> $lesseq(0,div2(X1,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_sign_pos) ).
tff(f744,plain,
( spl15_29
| ~ spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f739,f536,f531,f741]) ).
tff(f741,plain,
( spl15_29
<=> ( $sum($product(137,sK6),sK3) = $sum($product(10,$quotient_e($sum($product(137,sK6),sK3),10)),$remainder_e($sum($product(137,sK6),sK3),10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
tff(f739,plain,
( ( $sum($product(137,sK6),sK3) = $sum($product(10,$quotient_e($sum($product(137,sK6),sK3),10)),$remainder_e($sum($product(137,sK6),sK3),10)) )
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f721,f533]) ).
tff(f721,plain,
( ( $sum($product(10,$quotient_e($sum($product(137,sK6),sK3),10)),mod2($sum($product(137,sK6),sK3),10)) = $sum($product(137,sK6),sK3) )
| ~ spl15_10 ),
inference(evaluation,[],[f709]) ).
tff(f709,plain,
( ( 0 = 10 )
| ( $sum($product(10,$quotient_e($sum($product(137,sK6),sK3),10)),mod2($sum($product(137,sK6),sK3),10)) = $sum($product(137,sK6),sK3) )
| ~ spl15_10 ),
inference(superposition,[],[f364,f538]) ).
tff(f364,plain,
! [X0: $int,X1: $int] :
( ( 0 = X1 )
| ( $sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 ) ),
inference(cnf_transformation,[],[f281]) ).
tff(f281,plain,
! [X0: $int,X1: $int] :
( ( 0 = X1 )
| ( $sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 ) ),
inference(rectify,[],[f181]) ).
tff(f181,plain,
! [X1: $int,X0: $int] :
( ( 0 = X0 )
| ( $sum($product(X0,div2(X1,X0)),mod2(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: $int,X1: $int] :
( ( 0 != X0 )
=> ( $sum($product(X0,div2(X1,X0)),mod2(X1,X0)) = X1 ) ),
inference(rectify,[],[f59]) ).
tff(f59,axiom,
! [X7: $int,X1: $int] :
( ( 0 != X7 )
=> ( $sum($product(X7,div2(X1,X7)),mod2(X1,X7)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mod1) ).
tff(f738,plain,
( spl15_28
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f722,f536,f735]) ).
tff(f735,plain,
( spl15_28
<=> $less(0,$sum($sum(abs1($sum($product(137,sK6),sK3)),1),$uminus(abs1($product($quotient_e($sum($product(137,sK6),sK3),10),10))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
tff(f722,plain,
( $less(0,$sum($sum(abs1($sum($product(137,sK6),sK3)),1),$uminus(abs1($product($quotient_e($sum($product(137,sK6),sK3),10),10)))))
| ~ spl15_10 ),
inference(evaluation,[],[f710]) ).
tff(f710,plain,
( $less(0,$sum($sum(abs1($sum($product(137,sK6),sK3)),1),$uminus(abs1($product($quotient_e($sum($product(137,sK6),sK3),10),10)))))
| ( 0 = 10 )
| ~ spl15_10 ),
inference(superposition,[],[f426,f538]) ).
tff(f426,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| $less(0,$sum($sum(abs1(X1),1),$uminus(abs1($product(div2(X1,X0),X0))))) ),
inference(evaluation,[],[f412]) ).
tff(f412,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ~ $less(abs1(X1),abs1($product(div2(X1,X0),X0))) ),
inference(cnf_transformation,[],[f185]) ).
tff(f185,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X1),abs1($product(div2(X1,X0),X0)))
| ( 0 = X0 ) ),
inference(ennf_transformation,[],[f171]) ).
tff(f171,plain,
! [X1: $int,X0: $int] :
( ( 0 != X0 )
=> ~ $less(abs1(X1),abs1($product(div2(X1,X0),X0))) ),
inference(rectify,[],[f104]) ).
tff(f104,plain,
! [X7: $int,X1: $int] :
( ( 0 != X7 )
=> ~ $less(abs1(X1),abs1($product(div2(X1,X7),X7))) ),
inference(theory_normalization,[],[f66]) ).
tff(f66,axiom,
! [X7: $int,X1: $int] :
( ( 0 != X7 )
=> $lesseq(abs1($product(div2(X1,X7),X7)),abs1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rounds_toward_zero) ).
tff(f733,plain,
( spl15_27
| ~ spl15_4
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f708,f536,f506,f730]) ).
tff(f506,plain,
( spl15_4
<=> $less(0,$sum(1,div2($sum($product(137,sK6),sK3),10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
tff(f708,plain,
( $less(0,$sum(1,$quotient_e($sum($product(137,sK6),sK3),10)))
| ~ spl15_4
| ~ spl15_10 ),
inference(superposition,[],[f508,f538]) ).
tff(f508,plain,
( $less(0,$sum(1,div2($sum($product(137,sK6),sK3),10)))
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f506]) ).
tff(f728,plain,
( spl15_22
| spl15_19
| spl15_26
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f723,f536,f725,f674,f688]) ).
tff(f723,plain,
( ( 0 = $quotient_e($sum($product(137,sK6),sK3),10) )
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum(-9,$sum($product(137,sK6),sK3)))
| ~ spl15_10 ),
inference(evaluation,[],[f707]) ).
tff(f707,plain,
( ( 0 = $quotient_e($sum($product(137,sK6),sK3),10) )
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum($sum($sum($product(137,sK6),sK3),1),$uminus(10)))
| ~ spl15_10 ),
inference(superposition,[],[f538,f460]) ).
tff(f706,plain,
( spl15_19
| spl15_21
| spl15_22
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f657,f531,f688,f684,f674]) ).
tff(f684,plain,
( spl15_21
<=> ( $sum($product(137,sK6),sK3) = $remainder_e($sum($product(137,sK6),sK3),10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
tff(f657,plain,
( $less(0,$sum(-9,$sum($product(137,sK6),sK3)))
| ( $sum($product(137,sK6),sK3) = $remainder_e($sum($product(137,sK6),sK3),10) )
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ~ spl15_9 ),
inference(evaluation,[],[f654]) ).
tff(f654,plain,
( $less(0,$sum($sum($sum($product(137,sK6),sK3),1),$uminus(10)))
| ( $sum($product(137,sK6),sK3) = $remainder_e($sum($product(137,sK6),sK3),10) )
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ~ spl15_9 ),
inference(superposition,[],[f447,f533]) ).
tff(f447,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($sum(X1,1),$uminus(X0)))
| ( mod2(X1,X0) = X1 )
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f350]) ).
tff(f350,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ( mod2(X1,X0) = X1 )
| $less(X1,0) ),
inference(cnf_transformation,[],[f273]) ).
tff(f273,plain,
! [X0: $int,X1: $int] :
( ( mod2(X1,X0) = X1 )
| $less(X1,0)
| ~ $less(X1,X0) ),
inference(rectify,[],[f224]) ).
tff(f224,plain,
! [X1: $int,X0: $int] :
( ( mod2(X0,X1) = X0 )
| $less(X0,0)
| ~ $less(X0,X1) ),
inference(flattening,[],[f223]) ).
tff(f223,plain,
! [X0: $int,X1: $int] :
( ( mod2(X0,X1) = X0 )
| $less(X0,0)
| ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,0)
& $less(X0,X1) )
=> ( mod2(X0,X1) = X0 ) ),
inference(rectify,[],[f95]) ).
tff(f95,plain,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& ~ $less(X1,0) )
=> ( mod2(X1,X7) = X1 ) ),
inference(theory_normalization,[],[f70]) ).
tff(f70,axiom,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& $lesseq(0,X1) )
=> ( mod2(X1,X7) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf) ).
tff(f705,plain,
( spl15_24
| spl15_25
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f658,f531,f702,f698]) ).
tff(f702,plain,
( spl15_25
<=> $less(0,$sum(1,$uminus($remainder_e($sum($product(137,sK6),sK3),10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
tff(f658,plain,
( $less(0,$sum(1,$uminus($remainder_e($sum($product(137,sK6),sK3),10))))
| $less(0,$sum($product(137,sK6),sK3))
| ~ spl15_9 ),
inference(evaluation,[],[f655]) ).
tff(f655,plain,
( ( 0 = 10 )
| $less(0,$sum(1,$uminus($remainder_e($sum($product(137,sK6),sK3),10))))
| $less(0,$sum($product(137,sK6),sK3))
| ~ spl15_9 ),
inference(superposition,[],[f446,f533]) ).
tff(f446,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(1,$uminus(mod2(X1,X0))))
| $less(0,X1)
| ( 0 = X0 ) ),
inference(evaluation,[],[f397]) ).
tff(f397,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,mod2(X1,X0))
| $less(0,X1)
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f298]) ).
tff(f298,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,mod2(X1,X0))
| ( 0 = X0 )
| $less(0,X1) ),
inference(rectify,[],[f192]) ).
tff(f192,plain,
! [X1: $int,X0: $int] :
( ~ $less(0,mod2(X0,X1))
| ( 0 = X1 )
| $less(0,X0) ),
inference(flattening,[],[f191]) ).
tff(f191,plain,
! [X1: $int,X0: $int] :
( ~ $less(0,mod2(X0,X1))
| ( 0 = X1 )
| $less(0,X0) ),
inference(ennf_transformation,[],[f139]) ).
tff(f139,plain,
! [X1: $int,X0: $int] :
( ( ( 0 != X1 )
& ~ $less(0,X0) )
=> ~ $less(0,mod2(X0,X1)) ),
inference(rectify,[],[f89]) ).
tff(f89,plain,
! [X1: $int,X7: $int] :
( ( ( 0 != X7 )
& ~ $less(0,X1) )
=> ~ $less(0,mod2(X1,X7)) ),
inference(theory_normalization,[],[f65]) ).
tff(f65,axiom,
! [X1: $int,X7: $int] :
( ( ( 0 != X7 )
& $lesseq(X1,0) )
=> $lesseq(mod2(X1,X7),0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_sign_neg) ).
tff(f696,plain,
( spl15_23
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f659,f531,f693]) ).
tff(f693,plain,
( spl15_23
<=> $less(0,$sum($remainder_e($sum($product(137,sK6),sK3),10),abs1(10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
tff(f659,plain,
( $less(0,$sum($remainder_e($sum($product(137,sK6),sK3),10),abs1(10)))
| ~ spl15_9 ),
inference(evaluation,[],[f652]) ).
tff(f652,plain,
( ( 0 = 10 )
| $less(0,$sum($remainder_e($sum($product(137,sK6),sK3),10),abs1(10)))
| ~ spl15_9 ),
inference(superposition,[],[f466,f533]) ).
tff(f466,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| $less(0,$sum(mod2(X1,X0),abs1(X0))) ),
inference(evaluation,[],[f311]) ).
tff(f311,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| $less($uminus(abs1(X0)),mod2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
tff(f253,plain,
! [X0: $int,X1: $int] :
( ( $less(mod2(X1,X0),abs1(X0))
& $less($uminus(abs1(X0)),mod2(X1,X0)) )
| ( 0 = X0 ) ),
inference(rectify,[],[f193]) ).
tff(f193,plain,
! [X1: $int,X0: $int] :
( ( $less(mod2(X0,X1),abs1(X1))
& $less($uminus(abs1(X1)),mod2(X0,X1)) )
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( $less(mod2(X0,X1),abs1(X1))
& $less($uminus(abs1(X1)),mod2(X0,X1)) ) ),
inference(rectify,[],[f61]) ).
tff(f61,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ( $less($uminus(abs1(X7)),mod2(X1,X7))
& $less(mod2(X1,X7),abs1(X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound1) ).
tff(f691,plain,
( spl15_21
| spl15_19
| spl15_22
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f660,f531,f688,f674,f684]) ).
tff(f660,plain,
( $less(0,$sum(-9,$sum($product(137,sK6),sK3)))
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| ( $sum($product(137,sK6),sK3) = $remainder_e($sum($product(137,sK6),sK3),10) )
| ~ spl15_9 ),
inference(evaluation,[],[f650]) ).
tff(f650,plain,
( ( $sum($product(137,sK6),sK3) = $remainder_e($sum($product(137,sK6),sK3),10) )
| $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum($sum($sum($product(137,sK6),sK3),1),$uminus(10)))
| ~ spl15_9 ),
inference(superposition,[],[f533,f447]) ).
tff(f682,plain,
( spl15_20
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f661,f531,f679]) ).
tff(f679,plain,
( spl15_20
<=> $less(0,$sum(abs1(10),$uminus($remainder_e($sum($product(137,sK6),sK3),10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
tff(f661,plain,
( $less(0,$sum(abs1(10),$uminus($remainder_e($sum($product(137,sK6),sK3),10))))
| ~ spl15_9 ),
inference(evaluation,[],[f656]) ).
tff(f656,plain,
( ( 0 = 10 )
| $less(0,$sum(abs1(10),$uminus($remainder_e($sum($product(137,sK6),sK3),10))))
| ~ spl15_9 ),
inference(superposition,[],[f437,f533]) ).
tff(f437,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| $less(0,$sum(abs1(X0),$uminus(mod2(X1,X0)))) ),
inference(evaluation,[],[f312]) ).
tff(f312,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| $less(mod2(X1,X0),abs1(X0)) ),
inference(cnf_transformation,[],[f253]) ).
tff(f677,plain,
( spl15_18
| spl15_19
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f662,f531,f674,f670]) ).
tff(f670,plain,
( spl15_18
<=> $less(0,$sum(1,$remainder_e($sum($product(137,sK6),sK3),10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
tff(f662,plain,
( $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum(1,$remainder_e($sum($product(137,sK6),sK3),10)))
| ~ spl15_9 ),
inference(evaluation,[],[f651]) ).
tff(f651,plain,
( $less(0,$sum(0,$uminus($sum($product(137,sK6),sK3))))
| $less(0,$sum(1,$remainder_e($sum($product(137,sK6),sK3),10)))
| ( 0 = 10 )
| ~ spl15_9 ),
inference(superposition,[],[f479,f533]) ).
tff(f479,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(1,mod2(X1,X0)))
| ( 0 = X0 )
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f352]) ).
tff(f352,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod2(X1,X0),0)
| ( 0 = X0 )
| $less(X1,0) ),
inference(cnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod2(X1,X0),0)
| ( 0 = X0 )
| $less(X1,0) ),
inference(flattening,[],[f243]) ).
tff(f243,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod2(X1,X0),0)
| $less(X1,0)
| ( 0 = X0 ) ),
inference(ennf_transformation,[],[f114]) ).
tff(f114,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,0)
& ( 0 != X0 ) )
=> ~ $less(mod2(X1,X0),0) ),
inference(rectify,[],[f76]) ).
tff(f76,plain,
! [X7: $int,X1: $int] :
( ( ( 0 != X7 )
& ~ $less(X1,0) )
=> ~ $less(mod2(X1,X7),0) ),
inference(theory_normalization,[],[f64]) ).
tff(f64,axiom,
! [X7: $int,X1: $int] :
( ( ( 0 != X7 )
& $lesseq(0,X1) )
=> $lesseq(0,mod2(X1,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_sign_pos) ).
tff(f668,plain,
( spl15_17
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f663,f531,f665]) ).
tff(f665,plain,
( spl15_17
<=> ( $sum($product(10,div2($sum($product(137,sK6),sK3),10)),$remainder_e($sum($product(137,sK6),sK3),10)) = $sum($product(137,sK6),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
tff(f663,plain,
( ( $sum($product(10,div2($sum($product(137,sK6),sK3),10)),$remainder_e($sum($product(137,sK6),sK3),10)) = $sum($product(137,sK6),sK3) )
| ~ spl15_9 ),
inference(evaluation,[],[f653]) ).
tff(f653,plain,
( ( $sum($product(10,div2($sum($product(137,sK6),sK3),10)),$remainder_e($sum($product(137,sK6),sK3),10)) = $sum($product(137,sK6),sK3) )
| ( 0 = 10 )
| ~ spl15_9 ),
inference(superposition,[],[f364,f533]) ).
tff(f575,plain,
( ~ spl15_15
| spl15_16
| spl15_1 ),
inference(avatar_split_clause,[],[f566,f491,f572,f568]) ).
tff(f566,plain,
( $less(0,$sum(1,sK7))
| ~ sP13($sum(sK8,abs1(sK7)))
| spl15_1 ),
inference(superposition,[],[f493,f471]) ).
tff(f471,plain,
! [X0: $int] :
( ( $uminus(X0) = abs1(X0) )
| $less(0,$sum(1,X0)) ),
inference(evaluation,[],[f333]) ).
tff(f333,plain,
! [X0: $int] :
( ( $uminus(X0) = abs1(X0) )
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f252]) ).
tff(f559,plain,
spl15_14,
inference(avatar_split_clause,[],[f483,f556]) ).
tff(f556,plain,
( spl15_14
<=> $less(0,$sum(1,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
tff(f483,plain,
$less(0,$sum(1,sK6)),
inference(evaluation,[],[f383]) ).
tff(f383,plain,
~ $less(sK6,0),
inference(cnf_transformation,[],[f296]) ).
tff(f296,plain,
( ~ $less(9,0)
& ~ $less(sK4,0)
& ~ $less(sK3,0)
& ( 0 != sK4 )
& ~ $less(div2($sum($product(137,sK6),sK3),10),0)
& ~ $less(9,sK6)
& ~ $less($sum(sK4,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) = sK7 )
& ( $remainder_e($sum($product(137,sK6),sK3),10) = mod2($sum($product(137,sK6),sK3),10) )
& ( sK8 = $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,$uminus(1)))) )
& ( $sum(sK8,$uminus(sK7)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) )
& ( $quotient_e($sum($product(137,sK6),sK3),10) = div2($sum($product(137,sK6),sK3),10) )
& ~ $less(sK6,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8])],[f203,f295,f294,f293]) ).
tff(f293,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ~ $less(9,0)
& ~ $less(X1,0)
& ~ $less(X0,0)
& ( 0 != X1 )
& ? [X3: $int,X4: $int] :
( ~ $less(div2($sum($product(137,X3),X0),10),0)
& ~ $less(9,X3)
& ~ $less($sum(X1,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) = X4 )
& ? [X5: $int] :
( ( mod2($sum($product(137,X3),X0),10) = $remainder_e($sum($product(137,X3),X0),10) )
& ( $sum(X4,solution1(div2($sum($product(137,X3),X0),10),$sum($sum(mod2($sum($product(137,X3),X0),10),X2),$uminus(X3)),$sum(X1,$uminus(1)))) = X5 )
& ( $sum(X5,$uminus(X4)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) )
& ( div2($sum($product(137,X3),X0),10) = $quotient_e($sum($product(137,X3),X0),10) ) )
& ~ $less(X3,0) ) )
=> ( ~ $less(9,0)
& ~ $less(sK4,0)
& ~ $less(sK3,0)
& ( 0 != sK4 )
& ? [X4: $int,X3: $int] :
( ~ $less(div2($sum($product(137,X3),sK3),10),0)
& ~ $less(9,X3)
& ~ $less($sum(sK4,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(X3))),0,power1(10,sK4)) = X4 )
& ? [X5: $int] :
( ( mod2($sum($product(137,X3),sK3),10) = $remainder_e($sum($product(137,X3),sK3),10) )
& ( $sum(X4,solution1(div2($sum($product(137,X3),sK3),10),$sum($sum(mod2($sum($product(137,X3),sK3),10),sK5),$uminus(X3)),$sum(sK4,$uminus(1)))) = X5 )
& ( $sum(X5,$uminus(X4)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(X3))),0,power1(10,sK4)) )
& ( div2($sum($product(137,X3),sK3),10) = $quotient_e($sum($product(137,X3),sK3),10) ) )
& ~ $less(X3,0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f294,plain,
( ? [X4: $int,X3: $int] :
( ~ $less(div2($sum($product(137,X3),sK3),10),0)
& ~ $less(9,X3)
& ~ $less($sum(sK4,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(X3))),0,power1(10,sK4)) = X4 )
& ? [X5: $int] :
( ( mod2($sum($product(137,X3),sK3),10) = $remainder_e($sum($product(137,X3),sK3),10) )
& ( $sum(X4,solution1(div2($sum($product(137,X3),sK3),10),$sum($sum(mod2($sum($product(137,X3),sK3),10),sK5),$uminus(X3)),$sum(sK4,$uminus(1)))) = X5 )
& ( $sum(X5,$uminus(X4)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(X3))),0,power1(10,sK4)) )
& ( div2($sum($product(137,X3),sK3),10) = $quotient_e($sum($product(137,X3),sK3),10) ) )
& ~ $less(X3,0) )
=> ( ~ $less(div2($sum($product(137,sK6),sK3),10),0)
& ~ $less(9,sK6)
& ~ $less($sum(sK4,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) = sK7 )
& ? [X5: $int] :
( ( $remainder_e($sum($product(137,sK6),sK3),10) = mod2($sum($product(137,sK6),sK3),10) )
& ( $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,$uminus(1)))) = X5 )
& ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) != $sum(X5,$uminus(sK7)) )
& ( $quotient_e($sum($product(137,sK6),sK3),10) = div2($sum($product(137,sK6),sK3),10) ) )
& ~ $less(sK6,0) ) ),
introduced(choice_axiom,[]) ).
tff(f295,plain,
( ? [X5: $int] :
( ( $remainder_e($sum($product(137,sK6),sK3),10) = mod2($sum($product(137,sK6),sK3),10) )
& ( $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,$uminus(1)))) = X5 )
& ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) != $sum(X5,$uminus(sK7)) )
& ( $quotient_e($sum($product(137,sK6),sK3),10) = div2($sum($product(137,sK6),sK3),10) ) )
=> ( ( $remainder_e($sum($product(137,sK6),sK3),10) = mod2($sum($product(137,sK6),sK3),10) )
& ( sK8 = $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,$uminus(1)))) )
& ( $sum(sK8,$uminus(sK7)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) )
& ( $quotient_e($sum($product(137,sK6),sK3),10) = div2($sum($product(137,sK6),sK3),10) ) ) ),
introduced(choice_axiom,[]) ).
tff(f203,plain,
? [X0: $int,X1: $int,X2: $int] :
( ~ $less(9,0)
& ~ $less(X1,0)
& ~ $less(X0,0)
& ( 0 != X1 )
& ? [X3: $int,X4: $int] :
( ~ $less(div2($sum($product(137,X3),X0),10),0)
& ~ $less(9,X3)
& ~ $less($sum(X1,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) = X4 )
& ? [X5: $int] :
( ( mod2($sum($product(137,X3),X0),10) = $remainder_e($sum($product(137,X3),X0),10) )
& ( $sum(X4,solution1(div2($sum($product(137,X3),X0),10),$sum($sum(mod2($sum($product(137,X3),X0),10),X2),$uminus(X3)),$sum(X1,$uminus(1)))) = X5 )
& ( $sum(X5,$uminus(X4)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) )
& ( div2($sum($product(137,X3),X0),10) = $quotient_e($sum($product(137,X3),X0),10) ) )
& ~ $less(X3,0) ) ),
inference(flattening,[],[f202]) ).
tff(f202,plain,
? [X0: $int,X1: $int,X2: $int] :
( ? [X4: $int,X3: $int] :
( ? [X5: $int] :
( ( $sum(X5,$uminus(X4)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) )
& ( mod2($sum($product(137,X3),X0),10) = $remainder_e($sum($product(137,X3),X0),10) )
& ( div2($sum($product(137,X3),X0),10) = $quotient_e($sum($product(137,X3),X0),10) )
& ( $sum(X4,solution1(div2($sum($product(137,X3),X0),10),$sum($sum(mod2($sum($product(137,X3),X0),10),X2),$uminus(X3)),$sum(X1,$uminus(1)))) = X5 ) )
& ~ $less(div2($sum($product(137,X3),X0),10),0)
& ~ $less($sum(X1,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) = X4 )
& ~ $less(9,X3)
& ~ $less(X3,0) )
& ~ $less(9,0)
& ( 0 != X1 )
& ~ $less(X0,0)
& ~ $less(X1,0) ),
inference(ennf_transformation,[],[f129]) ).
tff(f129,plain,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( ~ $less(X0,0)
& ~ $less(X1,0) )
=> ( ( 0 != X1 )
=> ( ~ $less(9,0)
=> ! [X4: $int,X3: $int] :
( ( ~ $less(9,X3)
& ~ $less(X3,0) )
=> ( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) = X4 )
=> ( ( ~ $less(div2($sum($product(137,X3),X0),10),0)
& ~ $less($sum(X1,$uminus(1)),0) )
=> ! [X5: $int] :
( ( $sum(X4,solution1(div2($sum($product(137,X3),X0),10),$sum($sum(mod2($sum($product(137,X3),X0),10),X2),$uminus(X3)),$sum(X1,$uminus(1)))) = X5 )
=> ( ( div2($sum($product(137,X3),X0),10) = $quotient_e($sum($product(137,X3),X0),10) )
=> ( ( mod2($sum($product(137,X3),X0),10) = $remainder_e($sum($product(137,X3),X0),10) )
=> ( $sum(X5,$uminus(X4)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X2),t2tb1(X3))),0,power1(10,X1)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f83]) ).
tff(f83,plain,
~ ! [X0: $int,X9: $int,X16: $int] :
( ( ~ $less(X9,0)
& ~ $less(X0,0) )
=> ( ( 0 != X9 )
=> ( ~ $less(9,0)
=> ! [X17: $int,X23: $int] :
( ( ~ $less(9,X17)
& ~ $less(X17,0) )
=> ( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) = X23 )
=> ( ( ~ $less(div2($sum($product(137,X17),X0),10),0)
& ~ $less($sum(X9,$uminus(1)),0) )
=> ! [X24: $int] :
( ( $sum(X23,solution1(div2($sum($product(137,X17),X0),10),$sum($sum(mod2($sum($product(137,X17),X0),10),X16),$uminus(X17)),$sum(X9,$uminus(1)))) = X24 )
=> ( ( $quotient_e($sum($product(137,X17),X0),10) = div2($sum($product(137,X17),X0),10) )
=> ( ( $remainder_e($sum($product(137,X17),X0),10) = mod2($sum($product(137,X17),X0),10) )
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) = $sum(X24,$uminus(X23)) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f74]) ).
tff(f74,negated_conjecture,
~ ! [X0: $int,X9: $int,X16: $int] :
( ( $lesseq(0,X9)
& $lesseq(0,X0) )
=> ( ( 0 != X9 )
=> ( $lesseq(0,9)
=> ! [X17: $int,X23: $int] :
( ( $lesseq(X17,9)
& $lesseq(0,X17) )
=> ( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) = X23 )
=> ( ( $lesseq(0,div2($sum($product(137,X17),X0),10))
& $lesseq(0,$difference(X9,1)) )
=> ! [X24: $int] :
( ( $sum(X23,solution1(div2($sum($product(137,X17),X0),10),$difference($sum(mod2($sum($product(137,X17),X0),10),X16),X17),$difference(X9,1))) = X24 )
=> ( ( $quotient_e($sum($product(137,X17),X0),10) = div2($sum($product(137,X17),X0),10) )
=> ( ( $remainder_e($sum($product(137,X17),X0),10) = mod2($sum($product(137,X17),X0),10) )
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) = $difference(X24,X23) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f73]) ).
tff(f73,conjecture,
! [X0: $int,X9: $int,X16: $int] :
( ( $lesseq(0,X9)
& $lesseq(0,X0) )
=> ( ( 0 != X9 )
=> ( $lesseq(0,9)
=> ! [X17: $int,X23: $int] :
( ( $lesseq(X17,9)
& $lesseq(0,X17) )
=> ( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) = X23 )
=> ( ( $lesseq(0,div2($sum($product(137,X17),X0),10))
& $lesseq(0,$difference(X9,1)) )
=> ! [X24: $int] :
( ( $sum(X23,solution1(div2($sum($product(137,X17),X0),10),$difference($sum(mod2($sum($product(137,X17),X0),10),X16),X17),$difference(X9,1))) = X24 )
=> ( ( $quotient_e($sum($product(137,X17),X0),10) = div2($sum($product(137,X17),X0),10) )
=> ( ( $remainder_e($sum($product(137,X17),X0),10) = mod2($sum($product(137,X17),X0),10) )
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X16),t2tb1(X17))),0,power1(10,X9)) = $difference(X24,X23) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_f) ).
tff(f554,plain,
spl15_13,
inference(avatar_split_clause,[],[f423,f551]) ).
tff(f551,plain,
( spl15_13
<=> sP13(num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
tff(f423,plain,
sP13(num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4))),
inference(inequality_splitting,[],[f385,f422]) ).
tff(f422,plain,
~ sP13($sum(sK8,$uminus(sK7))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP13])]) ).
tff(f385,plain,
$sum(sK8,$uminus(sK7)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)),
inference(cnf_transformation,[],[f296]) ).
tff(f549,plain,
spl15_12,
inference(avatar_split_clause,[],[f484,f546]) ).
tff(f546,plain,
( spl15_12
<=> $less(0,$sum(1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
tff(f484,plain,
$less(0,$sum(1,sK3)),
inference(evaluation,[],[f393]) ).
tff(f393,plain,
~ $less(sK3,0),
inference(cnf_transformation,[],[f296]) ).
tff(f544,plain,
spl15_11,
inference(avatar_split_clause,[],[f388,f541]) ).
tff(f388,plain,
num_of1(tb2t(tuple31(int,int,int,t2tb1(sK3),t2tb1(sK5),t2tb1(sK6))),0,power1(10,sK4)) = sK7,
inference(cnf_transformation,[],[f296]) ).
tff(f539,plain,
spl15_10,
inference(avatar_split_clause,[],[f384,f536]) ).
tff(f384,plain,
$quotient_e($sum($product(137,sK6),sK3),10) = div2($sum($product(137,sK6),sK3),10),
inference(cnf_transformation,[],[f296]) ).
tff(f534,plain,
spl15_9,
inference(avatar_split_clause,[],[f387,f531]) ).
tff(f387,plain,
$remainder_e($sum($product(137,sK6),sK3),10) = mod2($sum($product(137,sK6),sK3),10),
inference(cnf_transformation,[],[f296]) ).
tff(f529,plain,
~ spl15_8,
inference(avatar_split_clause,[],[f420,f526]) ).
tff(f526,plain,
( spl15_8
<=> sP12(0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
tff(f420,plain,
~ sP12(0),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP12])]) ).
tff(f524,plain,
spl15_7,
inference(avatar_split_clause,[],[f421,f521]) ).
tff(f521,plain,
( spl15_7
<=> sP12(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
tff(f421,plain,
sP12(sK4),
inference(inequality_splitting,[],[f392,f420]) ).
tff(f392,plain,
0 != sK4,
inference(cnf_transformation,[],[f296]) ).
tff(f519,plain,
spl15_6,
inference(avatar_split_clause,[],[f485,f516]) ).
tff(f485,plain,
sK8 = $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,-1))),
inference(evaluation,[],[f386]) ).
tff(f386,plain,
sK8 = $sum(sK7,solution1(div2($sum($product(137,sK6),sK3),10),$sum($sum(mod2($sum($product(137,sK6),sK3),10),sK5),$uminus(sK6)),$sum(sK4,$uminus(1)))),
inference(cnf_transformation,[],[f296]) ).
tff(f514,plain,
spl15_5,
inference(avatar_split_clause,[],[f486,f511]) ).
tff(f511,plain,
( spl15_5
<=> $less(0,$sum(1,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
tff(f486,plain,
$less(0,$sum(1,sK4)),
inference(evaluation,[],[f394]) ).
tff(f394,plain,
~ $less(sK4,0),
inference(cnf_transformation,[],[f296]) ).
tff(f509,plain,
spl15_4,
inference(avatar_split_clause,[],[f487,f506]) ).
tff(f487,plain,
$less(0,$sum(1,div2($sum($product(137,sK6),sK3),10))),
inference(evaluation,[],[f391]) ).
tff(f391,plain,
~ $less(div2($sum($product(137,sK6),sK3),10),0),
inference(cnf_transformation,[],[f296]) ).
tff(f504,plain,
spl15_3,
inference(avatar_split_clause,[],[f488,f501]) ).
tff(f501,plain,
( spl15_3
<=> $less(0,$sum(sK4,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
tff(f488,plain,
$less(0,$sum(sK4,0)),
inference(evaluation,[],[f389]) ).
tff(f389,plain,
~ $less($sum(sK4,$uminus(1)),0),
inference(cnf_transformation,[],[f296]) ).
tff(f499,plain,
spl15_2,
inference(avatar_split_clause,[],[f489,f496]) ).
tff(f496,plain,
( spl15_2
<=> $less(0,$sum(10,$uminus(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
tff(f489,plain,
$less(0,$sum(10,$uminus(sK6))),
inference(evaluation,[],[f390]) ).
tff(f390,plain,
~ $less(9,sK6),
inference(cnf_transformation,[],[f296]) ).
tff(f494,plain,
~ spl15_1,
inference(avatar_split_clause,[],[f422,f491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW647=2 : TPTP v8.1.0. Released v6.1.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 20:22:05 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.47 % (4333)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 % (4328)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.47 % (4335)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.47 % (4325)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.15/0.48 % (4345)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.15/0.48 % (4328)Instruction limit reached!
% 0.15/0.48 % (4328)------------------------------
% 0.15/0.48 % (4328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (4328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (4328)Termination reason: Unknown
% 0.15/0.48 % (4328)Termination phase: Property scanning
% 0.15/0.48
% 0.15/0.48 % (4328)Memory used [KB]: 1023
% 0.15/0.48 % (4328)Time elapsed: 0.004 s
% 0.15/0.48 % (4328)Instructions burned: 3 (million)
% 0.15/0.48 % (4328)------------------------------
% 0.15/0.48 % (4328)------------------------------
% 0.15/0.48 % (4344)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.15/0.48 % (4335)Instruction limit reached!
% 0.15/0.48 % (4335)------------------------------
% 0.15/0.48 % (4335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (4327)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.15/0.48 % (4335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (4335)Termination reason: Unknown
% 0.15/0.48 % (4335)Termination phase: Property scanning
% 0.15/0.48
% 0.15/0.48 % (4335)Memory used [KB]: 1023
% 0.15/0.48 % (4335)Time elapsed: 0.003 s
% 0.15/0.48 % (4335)Instructions burned: 2 (million)
% 0.15/0.48 % (4335)------------------------------
% 0.15/0.48 % (4335)------------------------------
% 0.15/0.48 % (4336)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.49 % (4341)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.51 % (4327)Instruction limit reached!
% 0.15/0.51 % (4327)------------------------------
% 0.15/0.51 % (4327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (4327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (4327)Termination reason: Unknown
% 0.15/0.51 % (4327)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (4327)Memory used [KB]: 6140
% 0.15/0.51 % (4327)Time elapsed: 0.143 s
% 0.15/0.51 % (4327)Instructions burned: 26 (million)
% 0.15/0.51 % (4327)------------------------------
% 0.15/0.51 % (4327)------------------------------
% 0.15/0.52 % (4329)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.15/0.52 % (4332)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.52 % (4321)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.52 % (4331)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.52 % (4330)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.52 % (4331)Instruction limit reached!
% 0.15/0.52 % (4331)------------------------------
% 0.15/0.52 % (4331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (4331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (4331)Termination reason: Unknown
% 0.15/0.52 % (4331)Termination phase: Property scanning
% 0.15/0.52
% 0.15/0.52 % (4331)Memory used [KB]: 1023
% 0.15/0.52 % (4331)Time elapsed: 0.003 s
% 0.15/0.52 % (4331)Instructions burned: 3 (million)
% 0.15/0.52 % (4331)------------------------------
% 0.15/0.52 % (4331)------------------------------
% 0.15/0.53 % (4330)Instruction limit reached!
% 0.15/0.53 % (4330)------------------------------
% 0.15/0.53 % (4330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (4330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (4330)Termination reason: Unknown
% 0.15/0.53 % (4330)Termination phase: Preprocessing 1
% 0.15/0.53
% 0.15/0.53 % (4330)Memory used [KB]: 1023
% 0.15/0.53 % (4330)Time elapsed: 0.004 s
% 0.15/0.53 % (4330)Instructions burned: 6 (million)
% 0.15/0.53 % (4330)------------------------------
% 0.15/0.53 % (4330)------------------------------
% 0.15/0.53 % (4323)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.53 % (4322)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.53 % (4322)Instruction limit reached!
% 0.15/0.53 % (4322)------------------------------
% 0.15/0.53 % (4322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (4322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (4322)Termination reason: Unknown
% 0.15/0.53 % (4322)Termination phase: shuffling
% 0.15/0.53
% 0.15/0.53 % (4322)Memory used [KB]: 1023
% 0.15/0.53 % (4322)Time elapsed: 0.003 s
% 0.15/0.53 % (4322)Instructions burned: 2 (million)
% 0.15/0.53 % (4322)------------------------------
% 0.15/0.53 % (4322)------------------------------
% 0.15/0.53 % (4324)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.53 % (4346)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.53 % (4345)Instruction limit reached!
% 0.15/0.53 % (4345)------------------------------
% 0.15/0.53 % (4345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (4345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (4345)Termination reason: Unknown
% 0.15/0.53 % (4345)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (4345)Memory used [KB]: 6652
% 0.15/0.53 % (4345)Time elapsed: 0.157 s
% 0.15/0.53 % (4345)Instructions burned: 44 (million)
% 0.15/0.53 % (4345)------------------------------
% 0.15/0.53 % (4345)------------------------------
% 0.15/0.53 % (4347)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.54 % (4337)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.54 % (4338)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.54 % (4336)Instruction limit reached!
% 0.15/0.54 % (4336)------------------------------
% 0.15/0.54 % (4336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (4338)Instruction limit reached!
% 0.15/0.54 % (4338)------------------------------
% 0.15/0.54 % (4338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (4338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (4338)Termination reason: Unknown
% 0.15/0.54 % (4338)Termination phase: Property scanning
% 0.15/0.54
% 0.15/0.54 % (4338)Memory used [KB]: 1023
% 0.15/0.54 % (4338)Time elapsed: 0.003 s
% 0.15/0.54 % (4338)Instructions burned: 3 (million)
% 0.15/0.54 % (4338)------------------------------
% 0.15/0.54 % (4338)------------------------------
% 0.15/0.54 % (4336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (4336)Termination reason: Unknown
% 0.15/0.54 % (4336)Termination phase: Saturation
% 0.15/0.54
% 0.15/0.54 % (4336)Memory used [KB]: 6140
% 0.15/0.54 % (4336)Time elapsed: 0.169 s
% 0.15/0.54 % (4336)Instructions burned: 49 (million)
% 0.15/0.54 % (4336)------------------------------
% 0.15/0.54 % (4336)------------------------------
% 0.15/0.54 % (4348)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.15/0.54 % (4339)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.54 % (4325)Instruction limit reached!
% 0.15/0.54 % (4325)------------------------------
% 0.15/0.54 % (4325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (4325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (4325)Termination reason: Unknown
% 0.15/0.54 % (4325)Termination phase: Saturation
% 0.15/0.54
% 0.15/0.54 % (4325)Memory used [KB]: 6268
% 0.15/0.54 % (4325)Time elapsed: 0.153 s
% 0.15/0.54 % (4325)Instructions burned: 32 (million)
% 0.15/0.54 % (4325)------------------------------
% 0.15/0.54 % (4325)------------------------------
% 0.15/0.54 % (4321)Instruction limit reached!
% 0.15/0.54 % (4321)------------------------------
% 0.15/0.54 % (4321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (4321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (4321)Termination reason: Unknown
% 0.15/0.54 % (4321)Termination phase: Property scanning
% 0.15/0.54
% 0.15/0.54 % (4321)Memory used [KB]: 1279
% 0.15/0.54 % (4321)Time elapsed: 0.006 s
% 0.15/0.54 % (4321)Instructions burned: 10 (million)
% 0.15/0.54 % (4321)------------------------------
% 0.15/0.54 % (4321)------------------------------
% 0.15/0.55 % (4344)Instruction limit reached!
% 0.15/0.55 % (4344)------------------------------
% 0.15/0.55 % (4344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (4344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (4344)Termination reason: Unknown
% 0.15/0.55 % (4344)Termination phase: Saturation
% 0.15/0.55
% 0.15/0.55 % (4344)Memory used [KB]: 6652
% 0.15/0.55 % (4344)Time elapsed: 0.176 s
% 0.15/0.55 % (4344)Instructions burned: 43 (million)
% 0.15/0.55 % (4344)------------------------------
% 0.15/0.55 % (4344)------------------------------
% 0.15/0.55 % (4342)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.55 % (4340)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.56 % (4324)Instruction limit reached!
% 0.15/0.56 % (4324)------------------------------
% 0.15/0.56 % (4324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (4324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (4324)Termination reason: Unknown
% 0.15/0.56 % (4324)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (4324)Memory used [KB]: 5756
% 0.15/0.56 % (4324)Time elapsed: 0.012 s
% 0.15/0.56 % (4324)Instructions burned: 16 (million)
% 0.15/0.56 % (4324)------------------------------
% 0.15/0.56 % (4324)------------------------------
% 0.15/0.57 % (4332)Instruction limit reached!
% 0.15/0.57 % (4332)------------------------------
% 0.15/0.57 % (4332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (4332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (4332)Termination reason: Unknown
% 0.15/0.57 % (4332)Termination phase: Saturation
% 0.15/0.57
% 0.15/0.57 % (4332)Memory used [KB]: 5884
% 0.15/0.57 % (4332)Time elapsed: 0.198 s
% 0.15/0.57 % (4332)Instructions burned: 21 (million)
% 0.15/0.57 % (4332)------------------------------
% 0.15/0.57 % (4332)------------------------------
% 0.15/0.57 % (4339)Instruction limit reached!
% 0.15/0.57 % (4339)------------------------------
% 0.15/0.57 % (4339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (4339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (4339)Termination reason: Unknown
% 0.15/0.57 % (4339)Termination phase: Saturation
% 0.15/0.57
% 0.15/0.57 % (4339)Memory used [KB]: 1407
% 0.15/0.57 % (4339)Time elapsed: 0.011 s
% 0.15/0.57 % (4339)Instructions burned: 16 (million)
% 0.15/0.57 % (4339)------------------------------
% 0.15/0.57 % (4339)------------------------------
% 0.15/0.58 % (4337)Instruction limit reached!
% 0.15/0.58 % (4337)------------------------------
% 0.15/0.58 % (4337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (4337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (4337)Termination reason: Unknown
% 0.15/0.58 % (4337)Termination phase: Saturation
% 0.15/0.58
% 0.15/0.58 % (4337)Memory used [KB]: 5884
% 0.15/0.58 % (4337)Time elapsed: 0.177 s
% 0.15/0.58 % (4337)Instructions burned: 15 (million)
% 0.15/0.58 % (4337)------------------------------
% 0.15/0.58 % (4337)------------------------------
% 0.15/0.58 % (4333)Instruction limit reached!
% 0.15/0.58 % (4333)------------------------------
% 0.15/0.58 % (4333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (4333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (4333)Termination reason: Unknown
% 0.15/0.58 % (4333)Termination phase: Saturation
% 0.15/0.58
% 0.15/0.58 % (4333)Memory used [KB]: 6780
% 0.15/0.58 % (4333)Time elapsed: 0.195 s
% 0.15/0.58 % (4333)Instructions burned: 51 (million)
% 0.15/0.58 % (4333)------------------------------
% 0.15/0.58 % (4333)------------------------------
% 0.15/0.58 % (4346)Instruction limit reached!
% 0.15/0.58 % (4346)------------------------------
% 0.15/0.58 % (4346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (4346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (4346)Termination reason: Unknown
% 0.15/0.58 % (4346)Termination phase: Saturation
% 0.15/0.58
% 0.15/0.58 % (4346)Memory used [KB]: 5884
% 0.15/0.58 % (4346)Time elapsed: 0.211 s
% 0.15/0.58 % (4346)Instructions burned: 21 (million)
% 0.15/0.58 % (4346)------------------------------
% 0.15/0.58 % (4346)------------------------------
% 0.15/0.59 % (4347)Instruction limit reached!
% 0.15/0.59 % (4347)------------------------------
% 0.15/0.59 % (4347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59 % (4347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59 % (4347)Termination reason: Unknown
% 0.15/0.59 % (4347)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (4347)Memory used [KB]: 5884
% 0.15/0.59 % (4347)Time elapsed: 0.194 s
% 0.15/0.59 % (4347)Instructions burned: 21 (million)
% 0.15/0.59 % (4347)------------------------------
% 0.15/0.59 % (4347)------------------------------
% 0.15/0.60 % (4341)Instruction limit reached!
% 0.15/0.60 % (4341)------------------------------
% 0.15/0.60 % (4341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60 % (4341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60 % (4341)Termination reason: Unknown
% 0.15/0.60 % (4341)Termination phase: Saturation
% 0.15/0.60
% 0.15/0.60 % (4341)Memory used [KB]: 1918
% 0.15/0.60 % (4341)Time elapsed: 0.211 s
% 0.15/0.60 % (4341)Instructions burned: 47 (million)
% 0.15/0.60 % (4341)------------------------------
% 0.15/0.60 % (4341)------------------------------
% 2.10/0.60 % (4329)Instruction limit reached!
% 2.10/0.60 % (4329)------------------------------
% 2.10/0.60 % (4329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.60 % (4329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.60 % (4329)Termination reason: Unknown
% 2.10/0.60 % (4329)Termination phase: Saturation
% 2.10/0.60
% 2.10/0.60 % (4329)Memory used [KB]: 6140
% 2.10/0.60 % (4329)Time elapsed: 0.211 s
% 2.10/0.60 % (4329)Instructions burned: 35 (million)
% 2.10/0.60 % (4329)------------------------------
% 2.10/0.60 % (4329)------------------------------
% 2.10/0.60 % (4340)Instruction limit reached!
% 2.10/0.60 % (4340)------------------------------
% 2.10/0.60 % (4340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.60 % (4340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.60 % (4340)Termination reason: Unknown
% 2.10/0.60 % (4340)Termination phase: Saturation
% 2.10/0.60
% 2.10/0.60 % (4340)Memory used [KB]: 5884
% 2.10/0.60 % (4340)Time elapsed: 0.227 s
% 2.10/0.60 % (4340)Instructions burned: 22 (million)
% 2.10/0.60 % (4340)------------------------------
% 2.10/0.60 % (4340)------------------------------
% 2.10/0.60 % (4343)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 2.10/0.60 % (4323)Instruction limit reached!
% 2.10/0.60 % (4323)------------------------------
% 2.10/0.60 % (4323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.60 % (4323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.60 % (4323)Termination reason: Unknown
% 2.10/0.60 % (4323)Termination phase: Saturation
% 2.10/0.60
% 2.10/0.60 % (4323)Memory used [KB]: 6140
% 2.10/0.60 % (4323)Time elapsed: 0.218 s
% 2.10/0.60 % (4323)Instructions burned: 37 (million)
% 2.10/0.60 % (4323)------------------------------
% 2.10/0.60 % (4323)------------------------------
% 2.10/0.61 % (4334)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.10/0.61 % (4334)Instruction limit reached!
% 2.10/0.61 % (4334)------------------------------
% 2.10/0.61 % (4334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.61 % (4334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.61 % (4334)Termination reason: Unknown
% 2.10/0.61 % (4334)Termination phase: shuffling
% 2.10/0.61
% 2.10/0.61 % (4334)Memory used [KB]: 1023
% 2.10/0.61 % (4334)Time elapsed: 0.002 s
% 2.10/0.61 % (4334)Instructions burned: 2 (million)
% 2.10/0.61 % (4334)------------------------------
% 2.10/0.61 % (4334)------------------------------
% 2.10/0.61 % (4326)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 2.32/0.63 % (4320)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 2.32/0.64 % (4350)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.32/0.64 % (4348)Instruction limit reached!
% 2.32/0.64 % (4348)------------------------------
% 2.32/0.64 % (4348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.64 % (4348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.64 % (4348)Termination reason: Unknown
% 2.32/0.64 % (4348)Termination phase: Saturation
% 2.32/0.64
% 2.32/0.64 % (4348)Memory used [KB]: 6652
% 2.32/0.64 % (4348)Time elapsed: 0.244 s
% 2.32/0.64 % (4348)Instructions burned: 41 (million)
% 2.32/0.64 % (4348)------------------------------
% 2.32/0.64 % (4348)------------------------------
% 2.32/0.64 % (4319)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 2.32/0.65 % (4355)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 2.43/0.65 % (4342)Instruction limit reached!
% 2.43/0.65 % (4342)------------------------------
% 2.43/0.65 % (4342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.65 % (4342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.65 % (4342)Termination reason: Unknown
% 2.43/0.65 % (4342)Termination phase: Saturation
% 2.43/0.65
% 2.43/0.65 % (4342)Memory used [KB]: 6268
% 2.43/0.65 % (4342)Time elapsed: 0.275 s
% 2.43/0.65 % (4342)Instructions burned: 50 (million)
% 2.43/0.65 % (4342)------------------------------
% 2.43/0.65 % (4342)------------------------------
% 2.43/0.66 % (4358)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.43/0.67 % (4351)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.43/0.69 % (4349)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.43/0.71 % (4361)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.43/0.71 % (4320)Instruction limit reached!
% 2.43/0.71 % (4320)------------------------------
% 2.43/0.71 % (4320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71 % (4320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71 % (4320)Termination reason: Unknown
% 2.43/0.71 % (4320)Termination phase: Saturation
% 2.43/0.71
% 2.43/0.71 % (4320)Memory used [KB]: 6140
% 2.43/0.71 % (4320)Time elapsed: 0.312 s
% 2.43/0.71 % (4320)Instructions burned: 35 (million)
% 2.43/0.71 % (4320)------------------------------
% 2.43/0.71 % (4320)------------------------------
% 2.43/0.72 % (4351)Instruction limit reached!
% 2.43/0.72 % (4351)------------------------------
% 2.43/0.72 % (4351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72 % (4351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72 % (4351)Termination reason: Unknown
% 2.43/0.72 % (4351)Termination phase: Saturation
% 2.43/0.72
% 2.43/0.72 % (4351)Memory used [KB]: 5884
% 2.43/0.72 % (4351)Time elapsed: 0.168 s
% 2.43/0.72 % (4351)Instructions burned: 25 (million)
% 2.43/0.72 % (4351)------------------------------
% 2.43/0.72 % (4351)------------------------------
% 2.85/0.72 % (4355)Instruction limit reached!
% 2.85/0.72 % (4355)------------------------------
% 2.85/0.72 % (4355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.72 % (4355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.72 % (4355)Termination reason: Unknown
% 2.85/0.72 % (4355)Termination phase: Saturation
% 2.85/0.72
% 2.85/0.72 % (4355)Memory used [KB]: 6908
% 2.85/0.72 % (4355)Time elapsed: 0.102 s
% 2.85/0.72 % (4355)Instructions burned: 58 (million)
% 2.85/0.72 % (4355)------------------------------
% 2.85/0.72 % (4355)------------------------------
% 2.85/0.72 % (4326)Instruction limit reached!
% 2.85/0.72 % (4326)------------------------------
% 2.85/0.72 % (4326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.72 % (4326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.72 % (4326)Termination reason: Unknown
% 2.85/0.72 % (4326)Termination phase: Saturation
% 2.85/0.72
% 2.85/0.72 % (4326)Memory used [KB]: 6268
% 2.85/0.72 % (4326)Time elapsed: 0.317 s
% 2.85/0.72 % (4326)Instructions burned: 36 (million)
% 2.85/0.72 % (4326)------------------------------
% 2.85/0.72 % (4326)------------------------------
% 2.85/0.73 % (4350)Instruction limit reached!
% 2.85/0.73 % (4350)------------------------------
% 2.85/0.73 % (4350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.73 % (4350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.73 % (4350)Termination reason: Unknown
% 2.85/0.73 % (4350)Termination phase: Saturation
% 2.85/0.73
% 2.85/0.73 % (4350)Memory used [KB]: 6524
% 2.85/0.73 % (4350)Time elapsed: 0.200 s
% 2.85/0.73 % (4350)Instructions burned: 47 (million)
% 2.85/0.73 % (4350)------------------------------
% 2.85/0.73 % (4350)------------------------------
% 2.85/0.73 % (4353)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 2.85/0.74 % (4352)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 2.85/0.74 % (4354)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.85/0.74 % (4343)Instruction limit reached!
% 2.85/0.74 % (4343)------------------------------
% 2.85/0.74 % (4343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.74 % (4343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.74 % (4343)Termination reason: Unknown
% 2.85/0.74 % (4343)Termination phase: Saturation
% 2.85/0.74
% 2.85/0.74 % (4343)Memory used [KB]: 1663
% 2.85/0.74 % (4343)Time elapsed: 0.327 s
% 2.85/0.74 % (4343)Instructions burned: 47 (million)
% 2.85/0.74 % (4343)------------------------------
% 2.85/0.74 % (4343)------------------------------
% 2.85/0.74 % (4349)Instruction limit reached!
% 2.85/0.74 % (4349)------------------------------
% 2.85/0.74 % (4349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.74 % (4349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.74 % (4349)Termination reason: Unknown
% 2.85/0.74 % (4349)Termination phase: Saturation
% 2.85/0.74
% 2.85/0.74 % (4349)Memory used [KB]: 5884
% 2.85/0.74 % (4349)Time elapsed: 0.216 s
% 2.85/0.74 % (4349)Instructions burned: 15 (million)
% 2.85/0.74 % (4349)------------------------------
% 2.85/0.74 % (4349)------------------------------
% 2.85/0.75 % (4360)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.85/0.75 % (4359)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.85/0.75 % (4356)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.85/0.77 % (4362)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.85/0.77 % (4358)Instruction limit reached!
% 2.85/0.77 % (4358)------------------------------
% 2.85/0.77 % (4358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.77 % (4358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.77 % (4358)Termination reason: Unknown
% 2.85/0.77 % (4358)Termination phase: Saturation
% 2.85/0.77
% 2.85/0.77 % (4358)Memory used [KB]: 6012
% 2.85/0.77 % (4358)Time elapsed: 0.112 s
% 2.85/0.77 % (4358)Instructions burned: 108 (million)
% 2.85/0.77 % (4358)------------------------------
% 2.85/0.77 % (4358)------------------------------
% 3.12/0.78 % (4363)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 3.12/0.78 % (4364)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 3.12/0.79 % (4367)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 3.12/0.80 % (4365)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 3.12/0.80 % (4368)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 3.12/0.80 % (4366)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 3.12/0.81 % (4369)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 3.12/0.82 % (4370)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.12/0.83 % (4372)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 3.12/0.84 % (4371)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 3.12/0.84 % (4377)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/488Mi)
% 3.40/0.88 % (4374)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 3.40/0.89 % (4373)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/294Mi)
% 3.40/0.89 % (4375)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/374Mi)
% 3.40/0.90 % (4376)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/500Mi)
% 3.40/0.90 % (4383)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 3.40/0.92 % (4380)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/382Mi)
% 3.51/0.93 % (4354)Instruction limit reached!
% 3.51/0.93 % (4354)------------------------------
% 3.51/0.93 % (4354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.93 % (4354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.93 % (4354)Termination reason: Unknown
% 3.51/0.93 % (4354)Termination phase: Saturation
% 3.51/0.93
% 3.51/0.93 % (4354)Memory used [KB]: 6908
% 3.51/0.93 % (4354)Time elapsed: 0.361 s
% 3.51/0.93 % (4354)Instructions burned: 77 (million)
% 3.51/0.93 % (4354)------------------------------
% 3.51/0.93 % (4354)------------------------------
% 3.51/0.94 % (4356)Instruction limit reached!
% 3.51/0.94 % (4356)------------------------------
% 3.51/0.94 % (4356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.94 % (4356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.94 % (4356)Termination reason: Unknown
% 3.51/0.94 % (4356)Termination phase: Saturation
% 3.51/0.94
% 3.51/0.94 % (4356)Memory used [KB]: 5884
% 3.51/0.94 % (4356)Time elapsed: 0.343 s
% 3.51/0.94 % (4356)Instructions burned: 96 (million)
% 3.51/0.94 % (4356)------------------------------
% 3.51/0.94 % (4356)------------------------------
% 3.57/0.98 % (4353)Instruction limit reached!
% 3.57/0.98 % (4353)------------------------------
% 3.57/0.98 % (4353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.98 % (4353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.98 % (4353)Termination reason: Unknown
% 3.57/0.98 % (4353)Termination phase: Saturation
% 3.57/0.98
% 3.57/0.98 % (4353)Memory used [KB]: 7419
% 3.57/0.98 % (4353)Time elapsed: 0.405 s
% 3.57/0.98 % (4353)Instructions burned: 100 (million)
% 3.57/0.98 % (4353)------------------------------
% 3.57/0.98 % (4353)------------------------------
% 3.57/0.99 % (4382)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 3.57/1.00 % (4368)Instruction limit reached!
% 3.57/1.00 % (4368)------------------------------
% 3.57/1.00 % (4368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/1.00 % (4368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/1.00 % (4368)Termination reason: Unknown
% 3.57/1.00 % (4368)Termination phase: Saturation
% 3.57/1.00
% 3.57/1.00 % (4368)Memory used [KB]: 6652
% 3.57/1.00 % (4368)Time elapsed: 0.358 s
% 3.57/1.00 % (4368)Instructions burned: 81 (million)
% 3.57/1.00 % (4368)------------------------------
% 3.57/1.00 % (4368)------------------------------
% 3.88/1.04 % (4378)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/230Mi)
% 3.88/1.04 % (4379)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/360Mi)
% 3.88/1.07 % (4381)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 3.88/1.07 % (4361)Instruction limit reached!
% 3.88/1.07 % (4361)------------------------------
% 3.88/1.07 % (4361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.07 % (4361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.07 % (4361)Termination reason: Unknown
% 3.88/1.07 % (4361)Termination phase: Saturation
% 3.88/1.07
% 3.88/1.07 % (4361)Memory used [KB]: 1918
% 3.88/1.07 % (4361)Time elapsed: 0.482 s
% 3.88/1.07 % (4361)Instructions burned: 224 (million)
% 3.88/1.07 % (4361)------------------------------
% 3.88/1.07 % (4361)------------------------------
% 4.02/1.09 % (4364)Instruction limit reached!
% 4.02/1.09 % (4364)------------------------------
% 4.02/1.09 % (4364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.09 % (4364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.09 % (4364)Termination reason: Unknown
% 4.02/1.09 % (4364)Termination phase: Saturation
% 4.02/1.09
% 4.02/1.09 % (4364)Memory used [KB]: 1535
% 4.02/1.09 % (4364)Time elapsed: 0.477 s
% 4.02/1.09 % (4364)Instructions burned: 150 (million)
% 4.02/1.09 % (4364)------------------------------
% 4.02/1.09 % (4364)------------------------------
% 4.02/1.09 % (4352)Instruction limit reached!
% 4.02/1.09 % (4352)------------------------------
% 4.02/1.09 % (4352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.09 % (4352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.09 % (4352)Termination reason: Unknown
% 4.02/1.09 % (4352)Termination phase: Saturation
% 4.02/1.09
% 4.02/1.09 % (4352)Memory used [KB]: 6780
% 4.02/1.09 % (4352)Time elapsed: 0.497 s
% 4.02/1.09 % (4352)Instructions burned: 149 (million)
% 4.02/1.09 % (4352)------------------------------
% 4.02/1.09 % (4352)------------------------------
% 4.02/1.13 % (4365)Instruction limit reached!
% 4.02/1.13 % (4365)------------------------------
% 4.02/1.13 % (4365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.13 % (4365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.13 % (4365)Termination reason: Unknown
% 4.02/1.13 % (4365)Termination phase: Saturation
% 4.02/1.13
% 4.02/1.13 % (4365)Memory used [KB]: 1663
% 4.02/1.13 % (4365)Time elapsed: 0.516 s
% 4.02/1.13 % (4365)Instructions burned: 160 (million)
% 4.02/1.13 % (4365)------------------------------
% 4.02/1.13 % (4365)------------------------------
% 4.02/1.14 % (4369)Instruction limit reached!
% 4.02/1.14 % (4369)------------------------------
% 4.02/1.14 % (4369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.14 % (4369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.14 % (4369)Termination reason: Unknown
% 4.02/1.14 % (4369)Termination phase: Saturation
% 4.02/1.14
% 4.02/1.14 % (4369)Memory used [KB]: 1663
% 4.02/1.14 % (4369)Time elapsed: 0.482 s
% 4.02/1.14 % (4369)Instructions burned: 146 (million)
% 4.02/1.14 % (4369)------------------------------
% 4.02/1.14 % (4369)------------------------------
% 4.02/1.15 % (4366)First to succeed.
% 6.57/1.19 % (4385)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1705Mi)
% 6.57/1.20 % (4366)Refutation found. Thanks to Tanya!
% 6.57/1.20 % SZS status Theorem for theBenchmark
% 6.57/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 6.57/1.21 % (4366)------------------------------
% 6.57/1.21 % (4366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.57/1.21 % (4366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.57/1.21 % (4366)Termination reason: Refutation
% 6.57/1.21
% 6.57/1.21 % (4366)Memory used [KB]: 1791
% 6.57/1.21 % (4366)Time elapsed: 0.522 s
% 6.57/1.21 % (4366)Instructions burned: 170 (million)
% 6.57/1.21 % (4366)------------------------------
% 6.57/1.21 % (4366)------------------------------
% 6.57/1.21 % (4318)Success in time 0.881 s
%------------------------------------------------------------------------------