TSTP Solution File: SWW613_2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW613_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_sat --cores 0 -t %d %s
% Computer : n006.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 19:20:17 EDT 2022
% Result : Theorem 2.08s 0.64s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 68
% Syntax : Number of formulae : 92 ( 6 unt; 56 typ; 0 def)
% Number of atoms : 1172 ( 118 equ)
% Maximal formula atoms : 130 ( 32 avg)
% Number of connectives : 1646 ( 510 ~; 200 |; 810 &)
% ( 5 <=>; 121 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 19 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 1179 ( 589 atm; 38 fun; 299 num; 253 var)
% Number of types : 7 ( 5 usr; 1 ari)
% Number of type conns : 54 ( 32 >; 22 *; 0 +; 0 <<)
% Number of predicates : 10 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 48 ( 45 usr; 21 con; 0-5 aty)
% Number of variables : 299 ( 167 !; 132 ?; 299 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
list_int: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
abs: $int > $int ).
tff(func_def_14,type,
div: ( $int * $int ) > $int ).
tff(func_def_15,type,
mod: ( $int * $int ) > $int ).
tff(func_def_23,type,
gcd: ( $int * $int ) > $int ).
tff(func_def_24,type,
ref: ty > ty ).
tff(func_def_25,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_26,type,
contents: ( ty * uni ) > uni ).
tff(func_def_27,type,
list: ty > ty ).
tff(func_def_28,type,
nil: ty > uni ).
tff(func_def_29,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_30,type,
match_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_31,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_32,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_33,type,
t2tb: list_int > uni ).
tff(func_def_34,type,
tb2t: uni > list_int ).
tff(func_def_35,type,
t2tb1: $int > uni ).
tff(func_def_36,type,
tb2t1: uni > $int ).
tff(func_def_38,type,
sK0: ( $int * $int ) > $int ).
tff(func_def_39,type,
sK1: $int ).
tff(func_def_40,type,
sK2: $int ).
tff(func_def_41,type,
sK3: list_int ).
tff(func_def_42,type,
sK4: list_int ).
tff(func_def_43,type,
sK5: $int ).
tff(func_def_44,type,
sK6: $int ).
tff(func_def_45,type,
sK7: $int ).
tff(func_def_46,type,
sK8: $int ).
tff(func_def_47,type,
sK9: list_int ).
tff(func_def_48,type,
sK10: $int ).
tff(func_def_49,type,
sK11: $int ).
tff(func_def_50,type,
sK12: $int > $int ).
tff(func_def_51,type,
sK13: $int > $int ).
tff(func_def_52,type,
sK14: $int > $int ).
tff(func_def_53,type,
sK15: $int > $int ).
tff(func_def_54,type,
sK16: ( $int * $int * $int ) > $int ).
tff(func_def_55,type,
sK17: $int > $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_4,type,
divides: ( $int * $int ) > $o ).
tff(pred_def_5,type,
even: $int > $o ).
tff(pred_def_6,type,
odd: $int > $o ).
tff(pred_def_7,type,
prime: $int > $o ).
tff(pred_def_8,type,
coprime: ( $int * $int ) > $o ).
tff(f1626,plain,
$false,
inference(subsumption_resolution,[],[f1625,f490]) ).
tff(f490,plain,
~ $less(sK7,1),
inference(cnf_transformation,[],[f382]) ).
tff(f382,plain,
( ! [X1: $int] :
( $less(X1,2)
| ~ divides(X1,sK1)
| ~ $less(X1,2) )
& ~ $less(2,2)
& ~ $less(sK2,2)
& ~ $less(sK1,sK2)
& ! [X3: $int] :
( $less(X3,2)
| ~ $less(X3,sK2)
| ~ divides(X3,sK1) )
& divides(sK2,sK1)
& ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(sK1,sK2))
& coprime(sK2,X5) )
| ~ divides(X5,sK1)
| ~ $less(sK2,X5) )
& divides(div(sK1,sK2),sK1)
& ( sK1 = $product(div(sK1,sK2),sK2) )
& prime(sK6)
& divides(sK6,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,sK5)
| ~ divides(X9,sK1)
| ~ $less(sK6,X9) )
& ! [X10: $int] :
( ~ divides(X10,sK5)
| ~ $less(X10,sK6)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,sK6) )
| $less(X11,2)
| ~ divides(X11,sK5) )
& ~ $less(sK5,sK6)
& ~ $less(sK1,sK5)
& ~ $less(sK5,2)
& ~ $less(sK5,2)
& ~ $less(sK5,2)
& ~ $less(sK1,sK6)
& ~ $less(sK5,sK7)
& divides(sK7,sK5)
& prime(sK7)
& ! [X13: $int] :
( ~ divides(X13,sK5)
| $less(X13,2)
| ~ $less(X13,sK7) )
& ( tb2t(cons(int,t2tb1(sK7),t2tb(sK4))) = sK9 )
& ( $product(sK10,sK7) = sK5 )
& ( div(sK5,sK7) = sK10 )
& divides(sK10,sK5)
& ~ $less(sK7,1)
& $less(sK6,sK11)
& divides(sK11,sK1)
& prime(sK11)
& $less(sK7,sK11)
& $less(sK7,sK11)
& divides(sK11,sK5)
& ~ coprime(sK7,sK11)
& ( sK8 = sK7 )
& ~ $less(sK7,sK6)
& ~ $less(sK6,2)
& ~ $less(sK5,sK6)
& ~ $less(sK5,1)
& divides(sK5,sK5)
& ~ $less(sK6,2)
& ( tb2t(cons(int,t2tb1(sK2),nil(int))) = sK3 )
& ~ $less(sK1,2)
& ~ $less(sK1,2)
& ~ $less(sK1,2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f372,f381,f380,f379,f378,f377,f376,f375,f374,f373]) ).
tff(f373,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( $less(X1,2)
| ~ divides(X1,X0)
| ~ $less(X1,2) )
& ~ $less(2,2)
& ? [X2: $int] :
( ~ $less(X2,2)
& ~ $less(X0,X2)
& ! [X3: $int] :
( $less(X3,2)
| ~ $less(X3,X2)
| ~ divides(X3,X0) )
& divides(X2,X0)
& ? [X4: list_int] :
( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(X0,X2))
& coprime(X2,X5) )
| ~ divides(X5,X0)
| ~ $less(X2,X5) )
& divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 )
& ? [X6: list_int,X7: $int,X8: $int] :
( prime(X8)
& divides(X8,X0)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,X0)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,X0)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(X0,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X0,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,X0)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 ) ) )
& ~ $less(X0,2)
& ~ $less(X0,2)
& ~ $less(X0,2) )
=> ( ! [X1: $int] :
( $less(X1,2)
| ~ divides(X1,sK1)
| ~ $less(X1,2) )
& ~ $less(2,2)
& ? [X2: $int] :
( ~ $less(X2,2)
& ~ $less(sK1,X2)
& ! [X3: $int] :
( $less(X3,2)
| ~ $less(X3,X2)
| ~ divides(X3,sK1) )
& divides(X2,sK1)
& ? [X4: list_int] :
( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(sK1,X2))
& coprime(X2,X5) )
| ~ divides(X5,sK1)
| ~ $less(X2,X5) )
& divides(div(sK1,X2),sK1)
& ( sK1 = $product(div(sK1,X2),X2) )
& ? [X8: $int,X7: $int,X6: list_int] :
( prime(X8)
& divides(X8,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,sK1)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(sK1,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(sK1,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 ) ) )
& ~ $less(sK1,2)
& ~ $less(sK1,2)
& ~ $less(sK1,2) ) ),
introduced(choice_axiom,[]) ).
tff(f374,plain,
( ? [X2: $int] :
( ~ $less(X2,2)
& ~ $less(sK1,X2)
& ! [X3: $int] :
( $less(X3,2)
| ~ $less(X3,X2)
| ~ divides(X3,sK1) )
& divides(X2,sK1)
& ? [X4: list_int] :
( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(sK1,X2))
& coprime(X2,X5) )
| ~ divides(X5,sK1)
| ~ $less(X2,X5) )
& divides(div(sK1,X2),sK1)
& ( sK1 = $product(div(sK1,X2),X2) )
& ? [X8: $int,X7: $int,X6: list_int] :
( prime(X8)
& divides(X8,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,sK1)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(sK1,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(sK1,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 ) ) )
=> ( ~ $less(sK2,2)
& ~ $less(sK1,sK2)
& ! [X3: $int] :
( $less(X3,2)
| ~ $less(X3,sK2)
| ~ divides(X3,sK1) )
& divides(sK2,sK1)
& ? [X4: list_int] :
( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(sK1,sK2))
& coprime(sK2,X5) )
| ~ divides(X5,sK1)
| ~ $less(sK2,X5) )
& divides(div(sK1,sK2),sK1)
& ( sK1 = $product(div(sK1,sK2),sK2) )
& ? [X8: $int,X7: $int,X6: list_int] :
( prime(X8)
& divides(X8,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,sK1)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(sK1,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(sK1,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
& ( tb2t(cons(int,t2tb1(sK2),nil(int))) = X4 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f375,plain,
( ? [X4: list_int] :
( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(sK1,sK2))
& coprime(sK2,X5) )
| ~ divides(X5,sK1)
| ~ $less(sK2,X5) )
& divides(div(sK1,sK2),sK1)
& ( sK1 = $product(div(sK1,sK2),sK2) )
& ? [X8: $int,X7: $int,X6: list_int] :
( prime(X8)
& divides(X8,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,sK1)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(sK1,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(sK1,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
& ( tb2t(cons(int,t2tb1(sK2),nil(int))) = X4 ) )
=> ( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(sK1,sK2))
& coprime(sK2,X5) )
| ~ divides(X5,sK1)
| ~ $less(sK2,X5) )
& divides(div(sK1,sK2),sK1)
& ( sK1 = $product(div(sK1,sK2),sK2) )
& ? [X8: $int,X7: $int,X6: list_int] :
( prime(X8)
& divides(X8,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,sK1)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(sK1,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(sK1,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
& ( tb2t(cons(int,t2tb1(sK2),nil(int))) = sK3 ) ) ),
introduced(choice_axiom,[]) ).
tff(f376,plain,
( ? [X8: $int,X7: $int,X6: list_int] :
( prime(X8)
& divides(X8,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,sK1)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(sK1,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(sK1,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
=> ( prime(sK6)
& divides(sK6,sK1)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,sK5)
| ~ divides(X9,sK1)
| ~ $less(sK6,X9) )
& ! [X10: $int] :
( ~ divides(X10,sK5)
| ~ $less(X10,sK6)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,sK1)
& ~ $less(X11,sK6) )
| $less(X11,2)
| ~ divides(X11,sK5) )
& ~ $less(sK5,sK6)
& ~ $less(sK1,sK5)
& ~ $less(sK5,2)
& ~ $less(sK5,2)
& ~ $less(sK5,2)
& ~ $less(sK1,sK6)
& ? [X12: $int] :
( ~ $less(sK5,X12)
& divides(X12,sK5)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,sK5)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(sK4))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = sK5 )
& ( div(sK5,X12) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,sK5)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,sK6) )
& ~ $less(sK6,2)
& ~ $less(sK5,sK6)
& ~ $less(sK5,1)
& divides(sK5,sK5)
& ~ $less(sK6,2) ) ),
introduced(choice_axiom,[]) ).
tff(f377,plain,
( ? [X12: $int] :
( ~ $less(sK5,X12)
& divides(X12,sK5)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,sK5)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(sK4))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = sK5 )
& ( div(sK5,X12) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,sK5)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,sK6) )
=> ( ~ $less(sK5,sK7)
& divides(sK7,sK5)
& prime(sK7)
& ! [X13: $int] :
( ~ divides(X13,sK5)
| $less(X13,2)
| ~ $less(X13,sK7) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(sK7),t2tb(sK4))) = X15 )
& ? [X16: $int] :
( ( sK5 = $product(X16,sK7) )
& ( div(sK5,sK7) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) ) ) )
& ( sK7 = X14 ) )
& ~ $less(sK7,sK6) ) ),
introduced(choice_axiom,[]) ).
tff(f378,plain,
( ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(sK7),t2tb(sK4))) = X15 )
& ? [X16: $int] :
( ( sK5 = $product(X16,sK7) )
& ( div(sK5,sK7) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) ) ) )
& ( sK7 = X14 ) )
=> ( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(sK7),t2tb(sK4))) = X15 )
& ? [X16: $int] :
( ( sK5 = $product(X16,sK7) )
& ( div(sK5,sK7) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) ) ) )
& ( sK8 = sK7 ) ) ),
introduced(choice_axiom,[]) ).
tff(f379,plain,
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(sK7),t2tb(sK4))) = X15 )
& ? [X16: $int] :
( ( sK5 = $product(X16,sK7) )
& ( div(sK5,sK7) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) ) ) )
=> ( ( tb2t(cons(int,t2tb1(sK7),t2tb(sK4))) = sK9 )
& ? [X16: $int] :
( ( sK5 = $product(X16,sK7) )
& ( div(sK5,sK7) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f380,plain,
( ? [X16: $int] :
( ( sK5 = $product(X16,sK7) )
& ( div(sK5,sK7) = X16 )
& divides(X16,sK5)
& ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) ) )
=> ( ( $product(sK10,sK7) = sK5 )
& ( div(sK5,sK7) = sK10 )
& divides(sK10,sK5)
& ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) ) ) ),
introduced(choice_axiom,[]) ).
tff(f381,plain,
( ? [X17: $int] :
( ~ $less(sK7,1)
& $less(sK6,X17)
& divides(X17,sK1)
& prime(X17)
& $less(sK7,X17)
& $less(sK7,X17)
& divides(X17,sK5)
& ~ coprime(sK7,X17) )
=> ( ~ $less(sK7,1)
& $less(sK6,sK11)
& divides(sK11,sK1)
& prime(sK11)
& $less(sK7,sK11)
& $less(sK7,sK11)
& divides(sK11,sK5)
& ~ coprime(sK7,sK11) ) ),
introduced(choice_axiom,[]) ).
tff(f372,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,2)
| ~ divides(X1,X0)
| ~ $less(X1,2) )
& ~ $less(2,2)
& ? [X2: $int] :
( ~ $less(X2,2)
& ~ $less(X0,X2)
& ! [X3: $int] :
( $less(X3,2)
| ~ $less(X3,X2)
| ~ divides(X3,X0) )
& divides(X2,X0)
& ? [X4: list_int] :
( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(X0,X2))
& coprime(X2,X5) )
| ~ divides(X5,X0)
| ~ $less(X2,X5) )
& divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 )
& ? [X6: list_int,X7: $int,X8: $int] :
( prime(X8)
& divides(X8,X0)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X7)
| ~ divides(X9,X0)
| ~ $less(X8,X9) )
& ! [X10: $int] :
( ~ divides(X10,X7)
| ~ $less(X10,X8)
| $less(X10,2) )
& ! [X11: $int] :
( ( divides(X11,X0)
& ~ $less(X11,X8) )
| $less(X11,2)
| ~ divides(X11,X7) )
& ~ $less(X7,X8)
& ~ $less(X0,X7)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X7,2)
& ~ $less(X0,X8)
& ? [X12: $int] :
( ~ $less(X7,X12)
& divides(X12,X7)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X7)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X6))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X7 )
& ( div(X7,X12) = X16 )
& divides(X16,X7)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X8,X17)
& divides(X17,X0)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X7)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X8) )
& ~ $less(X8,2)
& ~ $less(X7,X8)
& ~ $less(X7,1)
& divides(X7,X7)
& ~ $less(X8,2) )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 ) ) )
& ~ $less(X0,2)
& ~ $less(X0,2)
& ~ $less(X0,2) ),
inference(rectify,[],[f297]) ).
tff(f297,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,2)
| ~ divides(X1,X0)
| ~ $less(X1,2) )
& ~ $less(2,2)
& ? [X2: $int] :
( ~ $less(X2,2)
& ~ $less(X0,X2)
& ! [X3: $int] :
( $less(X3,2)
| ~ $less(X3,X2)
| ~ divides(X3,X0) )
& divides(X2,X0)
& ? [X4: list_int] :
( ! [X5: $int] :
( ~ prime(X5)
| ( divides(X5,div(X0,X2))
& coprime(X2,X5) )
| ~ divides(X5,X0)
| ~ $less(X2,X5) )
& divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 )
& ? [X8: list_int,X6: $int,X7: $int] :
( prime(X7)
& divides(X7,X0)
& ! [X9: $int] :
( ~ prime(X9)
| divides(X9,X6)
| ~ divides(X9,X0)
| ~ $less(X7,X9) )
& ! [X11: $int] :
( ~ divides(X11,X6)
| ~ $less(X11,X7)
| $less(X11,2) )
& ! [X10: $int] :
( ( divides(X10,X0)
& ~ $less(X10,X7) )
| $less(X10,2)
| ~ divides(X10,X6) )
& ~ $less(X6,X7)
& ~ $less(X0,X6)
& ~ $less(X6,2)
& ~ $less(X6,2)
& ~ $less(X6,2)
& ~ $less(X0,X7)
& ? [X12: $int] :
( ~ $less(X6,X12)
& divides(X12,X6)
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X6)
| $less(X13,2)
| ~ $less(X13,X12) )
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X8))) = X15 )
& ? [X16: $int] :
( ( $product(X16,X12) = X6 )
& ( div(X6,X12) = X16 )
& divides(X16,X6)
& ? [X17: $int] :
( ~ $less(X12,1)
& $less(X7,X17)
& divides(X17,X0)
& prime(X17)
& $less(X12,X17)
& $less(X12,X17)
& divides(X17,X6)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& ~ $less(X12,X7) )
& ~ $less(X7,2)
& ~ $less(X6,X7)
& ~ $less(X6,1)
& divides(X6,X6)
& ~ $less(X7,2) )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 ) ) )
& ~ $less(X0,2)
& ~ $less(X0,2)
& ~ $less(X0,2) ),
inference(flattening,[],[f296]) ).
tff(f296,plain,
? [X0: $int] :
( ? [X2: $int] :
( ? [X4: list_int] :
( ? [X8: list_int,X7: $int,X6: $int] :
( ? [X12: $int] :
( ? [X14: $int] :
( ? [X15: list_int] :
( ? [X16: $int] :
( ? [X17: $int] :
( ~ coprime(X12,X17)
& $less(X12,X17)
& ~ $less(X12,1)
& divides(X17,X6)
& $less(X7,X17)
& divides(X17,X0)
& $less(X12,X17)
& prime(X17) )
& ( $product(X16,X12) = X6 )
& divides(X16,X6)
& ( div(X6,X12) = X16 ) )
& ( tb2t(cons(int,t2tb1(X12),t2tb(X8))) = X15 ) )
& ( X12 = X14 ) )
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X6)
| $less(X13,2)
| ~ $less(X13,X12) )
& ~ $less(X6,X12)
& divides(X12,X6)
& ~ $less(X12,X7) )
& ~ $less(X6,X7)
& ~ $less(X7,2)
& ~ $less(X6,2)
& ! [X11: $int] :
( ~ divides(X11,X6)
| $less(X11,2)
| ~ $less(X11,X7) )
& divides(X6,X6)
& ~ $less(X6,X7)
& ~ $less(X6,2)
& ~ $less(X6,2)
& ~ $less(X7,2)
& prime(X7)
& ! [X9: $int] :
( divides(X9,X6)
| ~ prime(X9)
| ~ $less(X7,X9)
| ~ divides(X9,X0) )
& ~ $less(X0,X6)
& divides(X7,X0)
& ! [X10: $int] :
( ( divides(X10,X0)
& ~ $less(X10,X7) )
| $less(X10,2)
| ~ divides(X10,X6) )
& ~ $less(X6,1)
& ~ $less(X0,X7) )
& ! [X5: $int] :
( ( divides(X5,div(X0,X2))
& coprime(X2,X5) )
| ~ $less(X2,X5)
| ~ divides(X5,X0)
| ~ prime(X5) )
& divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 ) )
& ~ $less(X2,2)
& ! [X3: $int] :
( ~ divides(X3,X0)
| ~ $less(X3,X2)
| $less(X3,2) )
& divides(X2,X0)
& ~ $less(X0,X2) )
& ~ $less(X0,2)
& ~ $less(2,2)
& ~ $less(X0,2)
& ! [X1: $int] :
( ~ divides(X1,X0)
| $less(X1,2)
| ~ $less(X1,2) )
& ~ $less(X0,2) ),
inference(ennf_transformation,[],[f178]) ).
tff(f178,plain,
~ ! [X0: $int] :
( ~ $less(X0,2)
=> ( ( ~ $less(X0,2)
& ~ $less(2,2)
& ~ $less(X0,2)
& ! [X1: $int] :
( ( ~ $less(X1,2)
& $less(X1,2) )
=> ~ divides(X1,X0) ) )
=> ! [X2: $int] :
( ( ~ $less(X2,2)
& ! [X3: $int] :
( ( $less(X3,X2)
& ~ $less(X3,2) )
=> ~ divides(X3,X0) )
& divides(X2,X0)
& ~ $less(X0,X2) )
=> ! [X4: list_int] :
( ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 )
=> ( ( divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 ) )
=> ( ! [X5: $int] :
( ( $less(X2,X5)
& divides(X5,X0)
& prime(X5) )
=> ( divides(X5,div(X0,X2))
& coprime(X2,X5) ) )
=> ! [X8: list_int,X7: $int,X6: $int] :
( ( ~ $less(X7,2)
& prime(X7)
& ! [X9: $int] :
( ( prime(X9)
& $less(X7,X9)
& divides(X9,X0) )
=> divides(X9,X6) )
& ~ $less(X0,X6)
& divides(X7,X0)
& ! [X10: $int] :
( ( ~ $less(X10,2)
& divides(X10,X6) )
=> ( divides(X10,X0)
& ~ $less(X10,X7) ) )
& ~ $less(X6,1)
& ~ $less(X0,X7) )
=> ( ~ $less(X6,2)
=> ( ( divides(X6,X6)
& ~ $less(X6,X7)
& ~ $less(X6,2) )
=> ( ( ~ $less(X6,X7)
& ~ $less(X7,2)
& ~ $less(X6,2)
& ! [X11: $int] :
( ( ~ $less(X11,2)
& $less(X11,X7) )
=> ~ divides(X11,X6) ) )
=> ! [X12: $int] :
( ( ! [X13: $int] :
( ( ~ $less(X13,2)
& $less(X13,X12) )
=> ~ divides(X13,X6) )
& ~ $less(X6,X12)
& divides(X12,X6)
& ~ $less(X12,X7) )
=> ( prime(X12)
=> ! [X14: $int] :
( ( X12 = X14 )
=> ! [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X8))) = X15 )
=> ! [X16: $int] :
( ( div(X6,X12) = X16 )
=> ( ( ( $product(X16,X12) = X6 )
& divides(X16,X6) )
=> ! [X17: $int] :
( ( divides(X17,X0)
& $less(X12,X17)
& prime(X17) )
=> ( $less(X7,X17)
=> ( divides(X17,X6)
=> ( ( $less(X12,X17)
& ~ $less(X12,1) )
=> coprime(X12,X17) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f119]) ).
tff(f119,plain,
~ ! [X9: $int] :
( ~ $less(X9,2)
=> ( ( ~ $less(X9,2)
& ! [X19: $int] :
( ( $less(X19,2)
& ~ $less(X19,2) )
=> ~ divides(X19,X9) )
& ~ $less(X9,2)
& ~ $less(2,2) )
=> ! [X8: $int] :
( ( ~ $less(X9,X8)
& ! [X19: $int] :
( ( $less(X19,X8)
& ~ $less(X19,2) )
=> ~ divides(X19,X9) )
& divides(X8,X9)
& ~ $less(X8,2) )
=> ! [X21: list_int] :
( ( tb2t(cons(int,t2tb1(X8),nil(int))) = X21 )
=> ( ( divides(div(X9,X8),X9)
& ( $product(div(X9,X8),X8) = X9 ) )
=> ( ! [X19: $int] :
( ( divides(X19,X9)
& prime(X19)
& $less(X8,X19) )
=> ( coprime(X8,X19)
& divides(X19,div(X9,X8)) ) )
=> ! [X22: $int,X23: $int,X24: list_int] :
( ( ~ $less(X9,X23)
& divides(X23,X9)
& ~ $less(X23,2)
& ! [X19: $int] :
( ( divides(X19,X9)
& prime(X19)
& $less(X23,X19) )
=> divides(X19,X22) )
& ~ $less(X22,1)
& ! [X19: $int] :
( ( divides(X19,X22)
& ~ $less(X19,2) )
=> ( ~ $less(X19,X23)
& divides(X19,X9) ) )
& ~ $less(X9,X22)
& prime(X23) )
=> ( ~ $less(X22,2)
=> ( ( divides(X22,X22)
& ~ $less(X22,X23)
& ~ $less(X22,2) )
=> ( ( ~ $less(X22,2)
& ~ $less(X23,2)
& ! [X19: $int] :
( ( $less(X19,X23)
& ~ $less(X19,2) )
=> ~ divides(X19,X22) )
& ~ $less(X22,X23) )
=> ! [X25: $int] :
( ( ~ $less(X22,X25)
& ~ $less(X25,X23)
& ! [X19: $int] :
( ( $less(X19,X25)
& ~ $less(X19,2) )
=> ~ divides(X19,X22) )
& divides(X25,X22) )
=> ( prime(X25)
=> ! [X26: $int] :
( ( X25 = X26 )
=> ! [X27: list_int] :
( ( tb2t(cons(int,t2tb1(X25),t2tb(X24))) = X27 )
=> ! [X28: $int] :
( ( div(X22,X25) = X28 )
=> ( ( ( $product(X28,X25) = X22 )
& divides(X28,X22) )
=> ! [X19: $int] :
( ( $less(X25,X19)
& divides(X19,X9)
& prime(X19) )
=> ( $less(X23,X19)
=> ( divides(X19,X22)
=> ( ( ~ $less(X25,1)
& $less(X25,X19) )
=> coprime(X25,X19) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f114]) ).
tff(f114,negated_conjecture,
~ ! [X9: $int] :
( $lesseq(2,X9)
=> ( ( $lesseq(2,X9)
& ! [X19: $int] :
( ( $less(X19,2)
& $lesseq(2,X19) )
=> ~ divides(X19,X9) )
& $lesseq(2,X9)
& $lesseq(2,2) )
=> ! [X8: $int] :
( ( $lesseq(X8,X9)
& ! [X19: $int] :
( ( $less(X19,X8)
& $lesseq(2,X19) )
=> ~ divides(X19,X9) )
& divides(X8,X9)
& $lesseq(2,X8) )
=> ! [X21: list_int] :
( ( tb2t(cons(int,t2tb1(X8),nil(int))) = X21 )
=> ( ( divides(div(X9,X8),X9)
& ( $product(div(X9,X8),X8) = X9 ) )
=> ( ! [X19: $int] :
( ( divides(X19,X9)
& prime(X19)
& $less(X8,X19) )
=> ( coprime(X8,X19)
& divides(X19,div(X9,X8)) ) )
=> ! [X22: $int,X23: $int,X24: list_int] :
( ( $lesseq(X23,X9)
& divides(X23,X9)
& $lesseq(2,X23)
& ! [X19: $int] :
( ( divides(X19,X9)
& prime(X19)
& $less(X23,X19) )
=> divides(X19,X22) )
& $lesseq(1,X22)
& ! [X19: $int] :
( ( divides(X19,X22)
& $lesseq(2,X19) )
=> ( $lesseq(X23,X19)
& divides(X19,X9) ) )
& $lesseq(X22,X9)
& prime(X23) )
=> ( $lesseq(2,X22)
=> ( ( divides(X22,X22)
& $lesseq(X23,X22)
& $lesseq(2,X22) )
=> ( ( $lesseq(2,X22)
& $lesseq(2,X23)
& ! [X19: $int] :
( ( $less(X19,X23)
& $lesseq(2,X19) )
=> ~ divides(X19,X22) )
& $lesseq(X23,X22) )
=> ! [X25: $int] :
( ( $lesseq(X25,X22)
& $lesseq(X23,X25)
& ! [X19: $int] :
( ( $less(X19,X25)
& $lesseq(2,X19) )
=> ~ divides(X19,X22) )
& divides(X25,X22) )
=> ( prime(X25)
=> ! [X26: $int] :
( ( X25 = X26 )
=> ! [X27: list_int] :
( ( tb2t(cons(int,t2tb1(X25),t2tb(X24))) = X27 )
=> ! [X28: $int] :
( ( div(X22,X25) = X28 )
=> ( ( ( $product(X28,X25) = X22 )
& divides(X28,X22) )
=> ! [X19: $int] :
( ( $less(X25,X19)
& divides(X19,X9)
& prime(X19) )
=> ( $less(X23,X19)
=> ( divides(X19,X22)
=> ( ( $lesseq(1,X25)
& $less(X25,X19) )
=> coprime(X25,X19) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f113]) ).
tff(f113,conjecture,
! [X9: $int] :
( $lesseq(2,X9)
=> ( ( $lesseq(2,X9)
& ! [X19: $int] :
( ( $less(X19,2)
& $lesseq(2,X19) )
=> ~ divides(X19,X9) )
& $lesseq(2,X9)
& $lesseq(2,2) )
=> ! [X8: $int] :
( ( $lesseq(X8,X9)
& ! [X19: $int] :
( ( $less(X19,X8)
& $lesseq(2,X19) )
=> ~ divides(X19,X9) )
& divides(X8,X9)
& $lesseq(2,X8) )
=> ! [X21: list_int] :
( ( tb2t(cons(int,t2tb1(X8),nil(int))) = X21 )
=> ( ( divides(div(X9,X8),X9)
& ( $product(div(X9,X8),X8) = X9 ) )
=> ( ! [X19: $int] :
( ( divides(X19,X9)
& prime(X19)
& $less(X8,X19) )
=> ( coprime(X8,X19)
& divides(X19,div(X9,X8)) ) )
=> ! [X22: $int,X23: $int,X24: list_int] :
( ( $lesseq(X23,X9)
& divides(X23,X9)
& $lesseq(2,X23)
& ! [X19: $int] :
( ( divides(X19,X9)
& prime(X19)
& $less(X23,X19) )
=> divides(X19,X22) )
& $lesseq(1,X22)
& ! [X19: $int] :
( ( divides(X19,X22)
& $lesseq(2,X19) )
=> ( $lesseq(X23,X19)
& divides(X19,X9) ) )
& $lesseq(X22,X9)
& prime(X23) )
=> ( $lesseq(2,X22)
=> ( ( divides(X22,X22)
& $lesseq(X23,X22)
& $lesseq(2,X22) )
=> ( ( $lesseq(2,X22)
& $lesseq(2,X23)
& ! [X19: $int] :
( ( $less(X19,X23)
& $lesseq(2,X19) )
=> ~ divides(X19,X22) )
& $lesseq(X23,X22) )
=> ! [X25: $int] :
( ( $lesseq(X25,X22)
& $lesseq(X23,X25)
& ! [X19: $int] :
( ( $less(X19,X25)
& $lesseq(2,X19) )
=> ~ divides(X19,X22) )
& divides(X25,X22) )
=> ( prime(X25)
=> ! [X26: $int] :
( ( X25 = X26 )
=> ! [X27: list_int] :
( ( tb2t(cons(int,t2tb1(X25),t2tb(X24))) = X27 )
=> ! [X28: $int] :
( ( div(X22,X25) = X28 )
=> ( ( ( $product(X28,X25) = X22 )
& divides(X28,X22) )
=> ! [X19: $int] :
( ( $less(X25,X19)
& divides(X19,X9)
& prime(X19) )
=> ( $less(X23,X19)
=> ( divides(X19,X22)
=> ( ( $lesseq(1,X25)
& $less(X25,X19) )
=> coprime(X25,X19) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_largest_prime_factor) ).
tff(f1625,plain,
$less(sK7,1),
inference(subsumption_resolution,[],[f1624,f487]) ).
tff(f487,plain,
prime(sK11),
inference(cnf_transformation,[],[f382]) ).
tff(f1624,plain,
( ~ prime(sK11)
| $less(sK7,1) ),
inference(subsumption_resolution,[],[f1622,f485]) ).
tff(f485,plain,
$less(sK7,sK11),
inference(cnf_transformation,[],[f382]) ).
tff(f1622,plain,
( ~ $less(sK7,sK11)
| $less(sK7,1)
| ~ prime(sK11) ),
inference(resolution,[],[f596,f483]) ).
tff(f483,plain,
~ coprime(sK7,sK11),
inference(cnf_transformation,[],[f382]) ).
tff(f596,plain,
! [X0: $int,X1: $int] :
( coprime(X1,X0)
| $less(X1,1)
| ~ prime(X0)
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f423]) ).
tff(f423,plain,
! [X0: $int] :
( ( ( ! [X1: $int] :
( coprime(X1,X0)
| ~ $less(X1,X0)
| $less(X1,1) )
& ~ $less(X0,2) )
| ~ prime(X0) )
& ( prime(X0)
| ( ~ coprime(sK14(X0),X0)
& $less(sK14(X0),X0)
& ~ $less(sK14(X0),1) )
| $less(X0,2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f421,f422]) ).
tff(f422,plain,
! [X0: $int] :
( ? [X2: $int] :
( ~ coprime(X2,X0)
& $less(X2,X0)
& ~ $less(X2,1) )
=> ( ~ coprime(sK14(X0),X0)
& $less(sK14(X0),X0)
& ~ $less(sK14(X0),1) ) ),
introduced(choice_axiom,[]) ).
tff(f421,plain,
! [X0: $int] :
( ( ( ! [X1: $int] :
( coprime(X1,X0)
| ~ $less(X1,X0)
| $less(X1,1) )
& ~ $less(X0,2) )
| ~ prime(X0) )
& ( prime(X0)
| ? [X2: $int] :
( ~ coprime(X2,X0)
& $less(X2,X0)
& ~ $less(X2,1) )
| $less(X0,2) ) ),
inference(rectify,[],[f420]) ).
tff(f420,plain,
! [X0: $int] :
( ( ( ! [X1: $int] :
( coprime(X1,X0)
| ~ $less(X1,X0)
| $less(X1,1) )
& ~ $less(X0,2) )
| ~ prime(X0) )
& ( prime(X0)
| ? [X1: $int] :
( ~ coprime(X1,X0)
& $less(X1,X0)
& ~ $less(X1,1) )
| $less(X0,2) ) ),
inference(flattening,[],[f419]) ).
tff(f419,plain,
! [X0: $int] :
( ( ( ! [X1: $int] :
( coprime(X1,X0)
| ~ $less(X1,X0)
| $less(X1,1) )
& ~ $less(X0,2) )
| ~ prime(X0) )
& ( prime(X0)
| ? [X1: $int] :
( ~ coprime(X1,X0)
& $less(X1,X0)
& ~ $less(X1,1) )
| $less(X0,2) ) ),
inference(nnf_transformation,[],[f324]) ).
tff(f324,plain,
! [X0: $int] :
( ( ! [X1: $int] :
( coprime(X1,X0)
| ~ $less(X1,X0)
| $less(X1,1) )
& ~ $less(X0,2) )
<=> prime(X0) ),
inference(flattening,[],[f323]) ).
tff(f323,plain,
! [X0: $int] :
( ( ! [X1: $int] :
( coprime(X1,X0)
| $less(X1,1)
| ~ $less(X1,X0) )
& ~ $less(X0,2) )
<=> prime(X0) ),
inference(ennf_transformation,[],[f197]) ).
tff(f197,plain,
! [X0: $int] :
( ( ! [X1: $int] :
( ( ~ $less(X1,1)
& $less(X1,X0) )
=> coprime(X1,X0) )
& ~ $less(X0,2) )
<=> prime(X0) ),
inference(rectify,[],[f123]) ).
tff(f123,plain,
! [X14: $int] :
( prime(X14)
<=> ( ~ $less(X14,2)
& ! [X9: $int] :
( ( ~ $less(X9,1)
& $less(X9,X14) )
=> coprime(X9,X14) ) ) ),
inference(theory_normalization,[],[f88]) ).
tff(f88,axiom,
! [X14: $int] :
( prime(X14)
<=> ( $lesseq(2,X14)
& ! [X9: $int] :
( ( $lesseq(1,X9)
& $less(X9,X14) )
=> coprime(X9,X14) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prime_coprime) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW613=2 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 20:54:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (32272)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (32279)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (32278)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (32280)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (32294)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (32269)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (32267)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (32289)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (32290)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (32293)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (32288)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (32281)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (32266)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (32270)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (32277)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (32273)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (32272)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.53 % (32295)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (32272)Terminated due to inappropriate strategy.
% 0.19/0.53 % (32272)------------------------------
% 0.19/0.53 % (32272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (32272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (32272)Termination reason: Inappropriate
% 0.19/0.53
% 0.19/0.53 % (32272)Memory used [KB]: 1279
% 0.19/0.53 % (32272)Time elapsed: 0.007 s
% 0.19/0.53 % (32272)Instructions burned: 12 (million)
% 0.19/0.53 % (32272)------------------------------
% 0.19/0.53 % (32272)------------------------------
% 0.19/0.53 % (32282)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (32271)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (32273)Instruction limit reached!
% 0.19/0.53 % (32273)------------------------------
% 0.19/0.53 % (32273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53 % (32268)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.41/0.53 % (32275)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53 % (32283)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.54 % (32291)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.54 % (32285)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.54 % (32276)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.54 % (32287)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.52/0.55 % (32286)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.52/0.55 % (32283)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.52/0.55 % (32283)Terminated due to inappropriate strategy.
% 1.52/0.55 % (32283)------------------------------
% 1.52/0.55 % (32283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (32283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (32283)Termination reason: Inappropriate
% 1.52/0.55
% 1.52/0.55 % (32283)Memory used [KB]: 1407
% 1.52/0.55 % (32283)Time elapsed: 0.011 s
% 1.52/0.55 % (32283)Instructions burned: 15 (million)
% 1.52/0.55 % (32283)------------------------------
% 1.52/0.55 % (32283)------------------------------
% 1.52/0.55 % (32274)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.52/0.55 % (32266)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.52/0.55 % (32266)Terminated due to inappropriate strategy.
% 1.52/0.55 % (32266)------------------------------
% 1.52/0.55 % (32266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (32266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (32266)Termination reason: Inappropriate
% 1.52/0.55
% 1.52/0.55 % (32266)Memory used [KB]: 1407
% 1.52/0.55 % (32266)Time elapsed: 0.007 s
% 1.52/0.55 % (32266)Instructions burned: 14 (million)
% 1.52/0.55 % (32266)------------------------------
% 1.52/0.55 % (32266)------------------------------
% 1.52/0.55 % (32274)Instruction limit reached!
% 1.52/0.55 % (32274)------------------------------
% 1.52/0.55 % (32274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (32274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (32274)Termination reason: Unknown
% 1.52/0.55 % (32274)Termination phase: Property scanning
% 1.52/0.55
% 1.52/0.55 % (32274)Memory used [KB]: 1023
% 1.52/0.55 % (32274)Time elapsed: 0.004 s
% 1.52/0.55 % (32274)Instructions burned: 3 (million)
% 1.52/0.55 % (32274)------------------------------
% 1.52/0.55 % (32274)------------------------------
% 1.52/0.55 % (32292)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.52/0.55 % (32273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (32273)Termination reason: Unknown
% 1.52/0.55 % (32273)Termination phase: Clausification
% 1.52/0.55
% 1.52/0.55 % (32273)Memory used [KB]: 1279
% 1.52/0.55 % (32273)Time elapsed: 0.007 s
% 1.52/0.55 % (32273)Instructions burned: 9 (million)
% 1.52/0.55 % (32273)------------------------------
% 1.52/0.55 % (32273)------------------------------
% 1.52/0.55 % (32284)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.59 % (32275)Instruction limit reached!
% 1.52/0.59 % (32275)------------------------------
% 1.52/0.59 % (32275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.59 % (32275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.59 % (32275)Termination reason: Unknown
% 1.52/0.59 % (32275)Termination phase: Saturation
% 1.52/0.59
% 1.52/0.59 % (32275)Memory used [KB]: 1791
% 1.52/0.59 % (32275)Time elapsed: 0.191 s
% 1.52/0.59 % (32275)Instructions burned: 52 (million)
% 1.52/0.59 % (32275)------------------------------
% 1.52/0.59 % (32275)------------------------------
% 1.52/0.59 % (32268)Instruction limit reached!
% 1.52/0.59 % (32268)------------------------------
% 1.52/0.59 % (32268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.59 % (32268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.59 % (32268)Termination reason: Unknown
% 1.52/0.59 % (32268)Termination phase: Saturation
% 1.52/0.59
% 1.52/0.59 % (32268)Memory used [KB]: 1535
% 1.52/0.59 % (32268)Time elapsed: 0.196 s
% 1.52/0.59 % (32268)Instructions burned: 37 (million)
% 1.52/0.59 % (32268)------------------------------
% 1.52/0.59 % (32268)------------------------------
% 1.52/0.60 % (32269)Instruction limit reached!
% 1.52/0.60 % (32269)------------------------------
% 1.52/0.60 % (32269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60 % (32269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.60 % (32269)Termination reason: Unknown
% 1.52/0.60 % (32269)Termination phase: Saturation
% 1.52/0.60
% 1.52/0.60 % (32269)Memory used [KB]: 6268
% 1.52/0.60 % (32269)Time elapsed: 0.206 s
% 1.52/0.60 % (32269)Instructions burned: 52 (million)
% 1.52/0.60 % (32269)------------------------------
% 1.52/0.60 % (32269)------------------------------
% 1.52/0.61 % (32267)Instruction limit reached!
% 1.52/0.61 % (32267)------------------------------
% 1.52/0.61 % (32267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61 % (32267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61 % (32267)Termination reason: Unknown
% 1.52/0.61 % (32267)Termination phase: Saturation
% 1.52/0.61
% 1.52/0.61 % (32267)Memory used [KB]: 6268
% 1.52/0.61 % (32267)Time elapsed: 0.189 s
% 1.52/0.61 % (32267)Instructions burned: 50 (million)
% 1.52/0.61 % (32267)------------------------------
% 1.52/0.61 % (32267)------------------------------
% 1.52/0.61 % (32271)Instruction limit reached!
% 1.52/0.61 % (32271)------------------------------
% 1.52/0.61 % (32271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61 % (32271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61 % (32271)Termination reason: Unknown
% 1.52/0.61 % (32271)Termination phase: Saturation
% 1.52/0.61
% 1.52/0.61 % (32271)Memory used [KB]: 6268
% 1.52/0.61 % (32271)Time elapsed: 0.207 s
% 1.52/0.61 % (32271)Instructions burned: 49 (million)
% 1.52/0.61 % (32271)------------------------------
% 1.52/0.61 % (32271)------------------------------
% 1.52/0.61 % (32270)Instruction limit reached!
% 1.52/0.61 % (32270)------------------------------
% 1.52/0.61 % (32270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61 % (32270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61 % (32270)Termination reason: Unknown
% 1.52/0.61 % (32270)Termination phase: Saturation
% 1.52/0.61
% 1.52/0.61 % (32270)Memory used [KB]: 6396
% 1.52/0.61 % (32270)Time elapsed: 0.206 s
% 1.52/0.61 % (32270)Instructions burned: 52 (million)
% 1.52/0.61 % (32270)------------------------------
% 1.52/0.61 % (32270)------------------------------
% 2.08/0.63 % (32289)First to succeed.
% 2.08/0.64 % (32276)Instruction limit reached!
% 2.08/0.64 % (32276)------------------------------
% 2.08/0.64 % (32276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64 % (32276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64 % (32276)Termination reason: Unknown
% 2.08/0.64 % (32276)Termination phase: Saturation
% 2.08/0.64
% 2.08/0.64 % (32276)Memory used [KB]: 6396
% 2.08/0.64 % (32276)Time elapsed: 0.226 s
% 2.08/0.64 % (32276)Instructions burned: 50 (million)
% 2.08/0.64 % (32276)------------------------------
% 2.08/0.64 % (32276)------------------------------
% 2.08/0.64 % (32289)Refutation found. Thanks to Tanya!
% 2.08/0.64 % SZS status Theorem for theBenchmark
% 2.08/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.64 % (32289)------------------------------
% 2.08/0.64 % (32289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64 % (32289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64 % (32289)Termination reason: Refutation
% 2.08/0.64
% 2.08/0.64 % (32289)Memory used [KB]: 6524
% 2.08/0.64 % (32289)Time elapsed: 0.186 s
% 2.08/0.64 % (32289)Instructions burned: 61 (million)
% 2.08/0.64 % (32289)------------------------------
% 2.08/0.64 % (32289)------------------------------
% 2.08/0.64 % (32265)Success in time 0.285 s
%------------------------------------------------------------------------------