%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : TIM027_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 : n009.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 07:15:47 PM UTC 2026
% Result : Theorem 5.98s 2.49s
% Output : CNFRefutation 6.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 16 |; 7 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 98 ( 18 atm; 2 fun; 56 num; 22 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 : 16 ( 9 usr; 13 con; 0-5 aty)
% Number of variables : 22 ( 19 !; 3 ?; 22 :)
% 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_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_327,axiom,
! [Ya: $int] : is_days_in_month(12,Ya,31),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m12) ).
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_566,negated_conjecture,
~ ? [Ya: $int,Ma: $int,Da: $int] :
( calc_date($sum(1,30),12,2024,ymd(Ya,Ma,Da))
& ( Ya = 2024 )
& ( Ma = 12 )
& ( Da = 31 )
& valid_day(Da) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_dec_bound) ).
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_821,plain,
! [D_415a: $int] :
( valid_day(D_415a)
| ~ $less(0,D_415a)
| $less(31,D_415a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_5]) ).
tff(c_329,plain,
! [Y_86a: $int] : is_days_in_month(12,Y_86a,31),
inference(cnfTransformation,[status(thm)],[f_327]) ).
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_738,plain,
! [D_371a: $int,M_372a: $int,Y_373a: $int,Limit_374a: $int] :
( calc_date(D_371a,M_372a,Y_373a,ymd(Y_373a,M_372a,D_371a))
| ~ is_days_in_month(M_372a,Y_373a,Limit_374a)
| ~ $less(0,D_371a)
| $less(Limit_374a,D_371a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_125]) ).
tff(c_230,plain,
( ~ valid_day(31)
| ~ calc_date($sum(1,30),12,2024,ymd(2024,12,31)) ),
inference(cnfTransformation,[status(thm)],[f_566]) ).
tff(c_232,plain,
( ~ valid_day(31)
| ~ calc_date(31,12,2024,ymd(2024,12,31)) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_230]) ).
tff(c_493,plain,
~ calc_date(31,12,2024,ymd(2024,12,31)),
inference(splitLeft,[status(thm)],[c_232]) ).
tff(c_742,plain,
! [Limit_374a: $int] :
( ~ is_days_in_month(12,2024,Limit_374a)
| ~ $less(0,31)
| $less(Limit_374a,31) ),
inference(resolution,[status(thm)],[c_738,c_493]) ).
tff(c_745,plain,
! [Limit_375a: $int] :
( ~ is_days_in_month(12,2024,Limit_375a)
| $less(Limit_375a,31) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_742]) ).
tff(c_750,plain,
$less(31,31),
inference(resolution,[status(thm)],[c_329,c_745]) ).
tff(c_753,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_750]) ).
tff(c_756,plain,
~ valid_day(31),
inference(splitRight,[status(thm)],[c_232]) ).
tff(c_835,plain,
( ~ $less(0,31)
| $less(31,31) ),
inference(resolution,[status(thm)],[c_821,c_756]) ).
tff(c_838,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TIM027_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % 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
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:25:40 EDT 2026
% 0.15/0.33 % CPUTime :
% 5.98/2.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.47/2.50
% 6.47/2.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------