%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM014_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:36 PM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 107 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 45 ~; 45 |; 13 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 197 ( 32 atm; 7 fun; 106 num; 52 var)
% Number of types : 5 ( 3 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 15 usr; 3 prp; 0-9 aty)
% Number of functors : 17 ( 9 usr; 14 con; 0-5 aty)
% Number of variables : 52 ( 0 sgn 46 !; 6 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
date: $tType ).
tff(type_def_6,type,
time: $tType ).
tff(type_def_7,type,
day_name: $tType ).
tff(func_def_0,type,
ymd: ( $int * $int * $int ) > date ).
tff(func_def_1,type,
dt: ( $int * $int * $int * $int * $int ) > time ).
tff(func_def_2,type,
sunday: day_name ).
tff(func_def_3,type,
monday: day_name ).
tff(func_def_4,type,
tuesday: day_name ).
tff(func_def_5,type,
wednesday: day_name ).
tff(func_def_6,type,
thursday: day_name ).
tff(func_def_7,type,
friday: day_name ).
tff(func_def_8,type,
saturday: day_name ).
tff(pred_def_1,type,
is_leap_year: $int > $o ).
tff(pred_def_2,type,
is_days_in_month: ( $int * $int * $int ) > $o ).
tff(pred_def_3,type,
is_days_in_year: ( $int * $int ) > $o ).
tff(pred_def_4,type,
calc_date: ( $int * $int * $int * date ) > $o ).
tff(pred_def_5,type,
calc_datetime: ( $int * $int * $int * $int * $int * $int * $int * $int * time ) > $o ).
tff(pred_def_6,type,
normalize_time: ( $int * $int * $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_7,type,
weekday: ( date * day_name ) > $o ).
tff(pred_def_8,type,
zeller_prep: ( $int * $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_9,type,
map_iso: ( $int * day_name ) > $o ).
tff(pred_def_10,type,
map_name_to_int: ( day_name * $int ) > $o ).
tff(pred_def_11,type,
nth_weekday_date: ( $int * day_name * $int * $int * date ) > $o ).
tff(pred_def_12,type,
calc_nth_offset: ( $int * $int * $int ) > $o ).
tff(pred_def_13,type,
valid_day: $int > $o ).
tff(f1,axiom,
! [X0: $int] :
( valid_day(X0)
<=> ( $greater(X0,0)
& $lesseq(X0,31) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',trap_ax) ).
tff(f49,axiom,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( is_days_in_month(X1,X2,X3)
& $greater(X0,0)
& $lesseq(X0,X3) )
=> calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',rule_base) ).
tff(f82,axiom,
is_days_in_month(2,2024,29),
file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',hint_leap_2024_feb) ).
tff(f88,conjecture,
? [X0: $int,X1: $int,X2: $int] :
( calc_date($sum(25,4),2,2024,ymd(X0,X1,X2))
& ( X1 = 2 )
& ( X2 = 29 )
& valid_day(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_leap_ok) ).
tff(f89,negated_conjecture,
~ ? [X0: $int,X1: $int,X2: $int] :
( calc_date($sum(25,4),2,2024,ymd(X0,X1,X2))
& ( X1 = 2 )
& ( X2 = 29 )
& valid_day(X2) ),
inference(negated_conjecture,[status(cth)],[f88]) ).
tff(f90,plain,
! [X0: $int] :
( valid_day(X0)
<=> ( $less(0,X0)
& ~ $less(31,X0) ) ),
inference(theory_normalization,[],[f1]) ).
tff(f104,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( is_days_in_month(X1,X2,X3)
& $less(0,X0)
& ~ $less(X3,X0) )
=> calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
inference(theory_normalization,[],[f49]) ).
tff(f139,plain,
! [X0: $int] :
( ( $less(0,X0)
& ~ $less(31,X0) )
=> valid_day(X0) ),
inference(unused_predicate_definition_removal,[],[f90]) ).
tff(f143,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(ennf_transformation,[],[f139]) ).
tff(f144,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(flattening,[],[f143]) ).
tff(f173,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( calc_date(X0,X1,X2,ymd(X2,X1,X0))
| ~ is_days_in_month(X1,X2,X3)
| ~ $less(0,X0)
| $less(X3,X0) ),
inference(ennf_transformation,[],[f104]) ).
tff(f174,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( calc_date(X0,X1,X2,ymd(X2,X1,X0))
| ~ is_days_in_month(X1,X2,X3)
| ~ $less(0,X0)
| $less(X3,X0) ),
inference(flattening,[],[f173]) ).
tff(f206,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ calc_date($sum(25,4),2,2024,ymd(X0,X1,X2))
| ( 2 != X1 )
| ( 29 != X2 )
| ~ valid_day(X2) ),
inference(ennf_transformation,[],[f89]) ).
tff(f207,plain,
! [X0: $int] :
( $less(31,X0)
| ~ $less(0,X0)
| valid_day(X0) ),
inference(cnf_transformation,[],[f144]) ).
tff(f259,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less(X3,X0)
| ~ $less(0,X0)
| ~ is_days_in_month(X1,X2,X3)
| calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
tff(f293,plain,
is_days_in_month(2,2024,29),
inference(cnf_transformation,[],[f82]) ).
tff(f300,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ valid_day(X2)
| ( 29 != X2 )
| ( 2 != X1 )
| ~ calc_date($sum(25,4),2,2024,ymd(X0,X1,X2)) ),
inference(cnf_transformation,[],[f206]) ).
tff(f325,plain,
! [X0: $int,X1: $int] :
( ~ valid_day(29)
| ( 2 != X1 )
| ~ calc_date($sum(25,4),2,2024,ymd(X0,X1,29)) ),
inference(equality_resolution,[],[f300]) ).
tff(f326,plain,
! [X0: $int] :
( ~ valid_day(29)
| ~ calc_date($sum(25,4),2,2024,ymd(X0,2,29)) ),
inference(equality_resolution,[],[f325]) ).
tff(f327,plain,
! [X0: $int] :
( ~ valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(consistent_polarity_flipping,[],[f207]) ).
tff(f362,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ calc_date(X0,X1,X2,ymd(X2,X1,X0))
| ~ $less(0,X0)
| is_days_in_month(X1,X2,X3)
| $less(X3,X0) ),
inference(consistent_polarity_flipping,[],[f259]) ).
tff(f379,plain,
~ is_days_in_month(2,2024,29),
inference(consistent_polarity_flipping,[],[f293]) ).
tff(f386,plain,
! [X0: $int] :
( valid_day(29)
| calc_date($sum(25,4),2,2024,ymd(X0,2,29)) ),
inference(consistent_polarity_flipping,[],[f326]) ).
tff(f387,plain,
! [X0: $int] :
( valid_day(29)
| calc_date(29,2,2024,ymd(X0,2,29)) ),
inference(evaluation,[],[f386]) ).
tff(f411,definition,
( spl0_1
<=> ! [X0: $int] : calc_date(29,2,2024,ymd(X0,2,29)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f412,plain,
( ! [X0: $int] : calc_date(29,2,2024,ymd(X0,2,29))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f411]) ).
tff(f414,definition,
( spl0_2
<=> valid_day(29) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f416,plain,
( valid_day(29)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f414]) ).
tff(f417,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f387,f414,f411]) ).
tff(f452,plain,
( ~ $less(0,29)
| $less(31,29)
| ~ spl0_2 ),
inference(resolution,[],[f327,f416]) ).
tff(f453,plain,
( $false
| ~ spl0_2 ),
inference(evaluation,[],[f452]) ).
tff(f454,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f453]) ).
tff(f703,plain,
( ! [X0: $int] :
( ~ $less(0,29)
| is_days_in_month(2,2024,X0)
| $less(X0,29) )
| ~ spl0_1 ),
inference(resolution,[],[f362,f412]) ).
tff(f704,plain,
( ! [X0: $int] :
( is_days_in_month(2,2024,X0)
| $less(X0,29) )
| ~ spl0_1 ),
inference(evaluation,[],[f703]) ).
tff(f731,plain,
( $less(29,29)
| ~ spl0_1 ),
inference(resolution,[],[f704,f379]) ).
tff(f733,plain,
( $false
| ~ spl0_1 ),
inference(evaluation,[],[f731]) ).
tff(f734,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f733]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f417]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f454]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f734]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
tff(f735,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TIM014_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16 % Computer : n019.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 18:47:33 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 Running first-order model finding
% 0.07/0.19 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25 % (96344)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (96355)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2866478472:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (96354)% WARNING: option uhcvi not known.
% 0.07/0.25 % (96356)dis+10_1_sil=32000:sp=arity:random_seed=914721315:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (96353)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=846210561_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % (96354)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=156545138:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (96358)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2049802064:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (96357)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2000485543:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (96359)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=351180710:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (96353)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.25 % (96353)Terminated due to inappropriate strategy.
% 0.07/0.25 % (96353)------------------------------
% 0.07/0.25 % (96353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (96353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (96353)CaDiCaL version: 2.1.3
% 0.07/0.25 % (96353)Termination reason: Inappropriate
% 0.07/0.25 % (96353)Time elapsed: 0.008 s
% 0.07/0.25 % (96353)Peak memory usage: 10 MB
% 0.07/0.25 % (96353)Instructions burned: 8 (million)
% 0.07/0.25 % (96353)------------------------------
% 0.07/0.25 % (96353)------------------------------
% 0.07/0.25 % (96354) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-96344-96354"...
% 0.07/0.25 % (96354)...printing done.
% 0.07/0.25 % (96354)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (96354)------------------------------
% 0.07/0.25 % (96354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (96354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (96354)CaDiCaL version: 2.1.3
% 0.07/0.25 % (96354)Termination reason: Refutation
% 0.07/0.25 % (96354)Time elapsed: 0.018 s
% 0.07/0.25 % (96354)Peak memory usage: 13 MB
% 0.07/0.25 % (96354)Instructions burned: 27 (million)
% 0.07/0.25 % (96344)Success in time 0.055 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------