%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : TIM020_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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.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 5.89s 2.33s
% Output : CNFRefutation 5.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 23 ( 10 ~; 7 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 61 ( 8 atm; 2 fun; 45 num; 6 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 : 17 ( 9 usr; 14 con; 0-5 aty)
% Number of variables : 6 ( 3 !; 3 ?; 6 :)
% 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/sandbox2/benchmark/Axioms/TIM001_0.ax',trap_ax) ).
tff(f_96,axiom,
calc_date(32,12,2024,ymd(2025,1,1)),
file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',lemma_boundary_dec32) ).
tff(f_566,negated_conjecture,
~ ? [Ya: $int,Ma: $int,Da: $int] :
( calc_date($sum(31,1),12,2024,ymd(Ya,Ma,Da))
& ( Ya = 2025 )
& ( Ma = 1 )
& ( Da = 1 )
& valid_day(Da) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_ny_fwd) ).
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_594,plain,
! [D_350a: $int] :
( valid_day(D_350a)
| ~ $less(0,D_350a)
| $less(31,D_350a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_5]) ).
tff(c_411,plain,
calc_date(32,12,2024,ymd(2025,1,1)),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_230,plain,
( ~ valid_day(1)
| ~ calc_date($sum(31,1),12,2024,ymd(2025,1,1)) ),
inference(cnfTransformation,[status(thm)],[f_566]) ).
tff(c_232,plain,
( ~ valid_day(1)
| ~ calc_date(32,12,2024,ymd(2025,1,1)) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_230]) ).
tff(c_494,plain,
~ valid_day(1),
inference(demodulation,[status(thm),theory(equality)],[c_411,c_232]) ).
tff(c_608,plain,
( ~ $less(0,1)
| $less(31,1) ),
inference(resolution,[status(thm)],[c_594,c_494]) ).
tff(c_611,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TIM020_1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.34 % Computer : n031.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 18:19:23 EDT 2026
% 0.16/0.34 % CPUTime :
% 5.89/2.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.89/2.33
% 5.89/2.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------