%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : TIM014_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 07:15:46 PM UTC 2026
% Result : Theorem 6.28s 2.43s
% Output : CNFRefutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 12 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 59 ( 24 ~; 22 |; 9 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 131 ( 18 atm; 12 fun; 76 num; 25 var)
% Number of types : 5 ( 3 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 13 usr; 1 prp; 0-9 aty)
% Number of functors : 21 ( 9 usr; 17 con; 0-5 aty)
% Number of variables : 25 ( 22 !; 3 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
%$ calc_datetime > normalize_time > zeller_prep > nth_weekday_date > calc_date > is_days_in_month > calc_nth_offset > weekday > map_name_to_int > map_iso > is_days_in_year > valid_day > is_leap_year > dt > ymd > #nlpp > wednesday > tuesday > thursday > sunday > saturday > monday > friday
%Foreground sorts:
tff(date,type,
date: $tType ).
tff(time,type,
time: $tType ).
tff(day_name,type,
day_name: $tType ).
%Background operators:
%Foreground operators:
tff(friday,type,
friday: day_name ).
tff(calc_date,type,
calc_date: ( $int * $int * $int * date ) > $o ).
tff(tuesday,type,
tuesday: day_name ).
tff(nth_weekday_date,type,
nth_weekday_date: ( $int * day_name * $int * $int * date ) > $o ).
tff(zeller_prep,type,
zeller_prep: ( $int * $int * $int * $int * $int * $int ) > $o ).
tff(is_leap_year,type,
is_leap_year: $int > $o ).
tff(thursday,type,
thursday: day_name ).
tff(calc_nth_offset,type,
calc_nth_offset: ( $int * $int * $int ) > $o ).
tff(weekday,type,
weekday: ( date * day_name ) > $o ).
tff(is_days_in_month,type,
is_days_in_month: ( $int * $int * $int ) > $o ).
tff(is_days_in_year,type,
is_days_in_year: ( $int * $int ) > $o ).
tff(ymd,type,
ymd: ( $int * $int * $int ) > date ).
tff(saturday,type,
saturday: day_name ).
tff(sunday,type,
sunday: day_name ).
tff(map_iso,type,
map_iso: ( $int * day_name ) > $o ).
tff(wednesday,type,
wednesday: day_name ).
tff(valid_day,type,
valid_day: $int > $o ).
tff(monday,type,
monday: day_name ).
tff(map_name_to_int,type,
map_name_to_int: ( day_name * $int ) > $o ).
tff(calc_datetime,type,
calc_datetime: ( $int * $int * $int * $int * $int * $int * $int * $int * time ) > $o ).
tff(dt,type,
dt: ( $int * $int * $int * $int * $int ) > time ).
tff(normalize_time,type,
normalize_time: ( $int * $int * $int * $int * $int * $int * $int ) > $o ).
tff(f_307,axiom,
! [Ya: $int] :
( ( ( ( $remainder_e(Ya,4) = 0 )
& ( ( $remainder_e(Ya,100) != 0 )
| ( $remainder_e(Ya,400) = 0 ) ) )
=> is_days_in_month(2,Ya,29) )
& ( ( ( $remainder_e(Ya,4) != 0 )
| ( ( $remainder_e(Ya,100) = 0 )
& ( $remainder_e(Ya,400) != 0 ) ) )
=> is_days_in_month(2,Ya,28) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m2) ).
tff(f_335,axiom,
! [Da: $int,Ma: $int,Ya: $int,Limita: $int] :
( ( is_days_in_month(Ma,Ya,Limita)
& $greater(Da,0)
& $lesseq(Da,Limita) )
=> calc_date(Da,Ma,Ya,ymd(Ya,Ma,Da)) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',rule_base) ).
tff(f_72,axiom,
! [Da: $int] :
( valid_day(Da)
<=> ( $greater(Da,0)
& $lesseq(Da,31) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',trap_ax) ).
tff(f_564,negated_conjecture,
~ ? [Ya: $int,Ma: $int,Da: $int] :
( calc_date($sum(25,4),2,2024,ymd(Ya,Ma,Da))
& ( Ma = 2 )
& ( Da = 29 )
& valid_day(Da) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_leap_ok) ).
tff(c_341,plain,
! [Y_76a: $int] :
( ( $remainder_e(Y_76a,100) = 0 )
| is_days_in_month(2,Y_76a,29)
| ( $remainder_e(Y_76a,4) != 0 ) ),
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_125,plain,
! [D_87a: $int,M_88a: $int,Y_89a: $int,Limit_90a: $int] :
( calc_date(D_87a,M_88a,Y_89a,ymd(Y_89a,M_88a,D_87a))
| ~ is_days_in_month(M_88a,Y_89a,Limit_90a)
| ~ $greater(D_87a,0)
| ~ $lesseq(D_87a,Limit_90a) ),
inference(cnfTransformation,[status(thm)],[f_335]) ).
tff(c_847,plain,
! [D_413a: $int,M_414a: $int,Y_415a: $int,Limit_416a: $int] :
( calc_date(D_413a,M_414a,Y_415a,ymd(Y_415a,M_414a,D_413a))
| ~ is_days_in_month(M_414a,Y_415a,Limit_416a)
| ~ $less(0,D_413a)
| $less(Limit_416a,D_413a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_125]) ).
tff(c_5,plain,
! [D_1a: $int] :
( valid_day(D_1a)
| ~ $greater(D_1a,0)
| ~ $lesseq(D_1a,31) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_593,plain,
! [D_350a: $int] :
( valid_day(D_350a)
| ~ $less(0,D_350a)
| $less(31,D_350a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_5]) ).
tff(c_230,plain,
! [Y_164a: $int] :
( ~ valid_day(29)
| ~ calc_date($sum(25,4),2,2024,ymd(Y_164a,2,29)) ),
inference(cnfTransformation,[status(thm)],[f_564]) ).
tff(c_232,plain,
! [Y_164a: $int] :
( ~ valid_day(29)
| ~ calc_date(29,2,2024,ymd(Y_164a,2,29)) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_230]) ).
tff(c_493,plain,
~ valid_day(29),
inference(splitLeft,[status(thm)],[c_232]) ).
tff(c_607,plain,
( ~ $less(0,29)
| $less(31,29) ),
inference(resolution,[status(thm)],[c_593,c_493]) ).
tff(c_610,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_607]) ).
tff(c_613,plain,
! [Y_164a: $int] : ~ calc_date(29,2,2024,ymd(Y_164a,2,29)),
inference(splitRight,[status(thm)],[c_232]) ).
tff(c_852,plain,
! [Limit_416a: $int] :
( ~ is_days_in_month(2,2024,Limit_416a)
| ~ $less(0,29)
| $less(Limit_416a,29) ),
inference(resolution,[status(thm)],[c_847,c_613]) ).
tff(c_873,plain,
! [Limit_420a: $int] :
( ~ is_days_in_month(2,2024,Limit_420a)
| $less(Limit_420a,29) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_852]) ).
tff(c_892,plain,
( $less(29,29)
| ( $remainder_e(2024,100) = 0 )
| ( $remainder_e(2024,4) != 0 ) ),
inference(resolution,[status(thm)],[c_341,c_873]) ).
tff(c_895,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_892]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TIM014_1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.18/0.34 % Computer : n002.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Mon May 4 18:10:16 EDT 2026
% 0.18/0.34 % CPUTime :
% 6.28/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.28/2.43
% 6.28/2.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------