%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM013_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 : n008.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 0.26s 0.32s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 8 unt; 0 typ; 2 def)
% Number of atoms : 72 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 33 ~; 27 |; 11 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 137 ( 14 atm; 7 fun; 95 num; 21 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 : 21 ( 0 sgn 15 !; 6 ?; 21 :)
% 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(f17,axiom,
calc_date(0,1,2025,ymd(2024,12,31)),
file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',lemma_boundary_jan0_2025) ).
tff(f88,conjecture,
? [X0: $int,X1: $int,X2: $int] :
( calc_date($sum(1,-1),1,2025,ymd(X0,X1,X2))
& ( X0 = 2024 )
& ( X1 = 12 )
& ( X2 = 31 )
& valid_day(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_year_back) ).
tff(f89,negated_conjecture,
~ ? [X0: $int,X1: $int,X2: $int] :
( calc_date($sum(1,-1),1,2025,ymd(X0,X1,X2))
& ( X0 = 2024 )
& ( X1 = 12 )
& ( X2 = 31 )
& 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(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(f206,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ calc_date($sum(1,-1),1,2025,ymd(X0,X1,X2))
| ( 2024 != X0 )
| ( 12 != X1 )
| ( 31 != X2 )
| ~ valid_day(X2) ),
inference(ennf_transformation,[],[f89]) ).
tff(f207,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(cnf_transformation,[],[f144]) ).
tff(f223,plain,
calc_date(0,1,2025,ymd(2024,12,31)),
inference(cnf_transformation,[],[f17]) ).
tff(f300,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ valid_day(X2)
| ( 31 != X2 )
| ( 12 != X1 )
| ( 2024 != X0 )
| ~ calc_date($sum(1,-1),1,2025,ymd(X0,X1,X2)) ),
inference(cnf_transformation,[],[f206]) ).
tff(f325,plain,
! [X0: $int,X1: $int] :
( ~ valid_day(31)
| ( 12 != X1 )
| ( 2024 != X0 )
| ~ calc_date($sum(1,-1),1,2025,ymd(X0,X1,31)) ),
inference(equality_resolution,[],[f300]) ).
tff(f326,plain,
! [X0: $int] :
( ~ valid_day(31)
| ( 2024 != X0 )
| ~ calc_date($sum(1,-1),1,2025,ymd(X0,12,31)) ),
inference(equality_resolution,[],[f325]) ).
tff(f327,plain,
( ~ valid_day(31)
| ~ calc_date($sum(1,-1),1,2025,ymd(2024,12,31)) ),
inference(equality_resolution,[],[f326]) ).
tff(f373,plain,
( ~ valid_day(31)
| ~ calc_date(0,1,2025,ymd(2024,12,31)) ),
inference(evaluation,[],[f327]) ).
tff(f397,definition,
( spl0_1
<=> calc_date(0,1,2025,ymd(2024,12,31)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f401,definition,
( spl0_2
<=> valid_day(31) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f403,plain,
( ~ valid_day(31)
| spl0_2 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f404,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f373,f401,f397]) ).
tff(f405,plain,
spl0_1,
inference(avatar_split_clause,[],[f223,f397]) ).
tff(f447,plain,
( ~ $less(0,31)
| $less(31,31)
| spl0_2 ),
inference(resolution,[],[f207,f403]) ).
tff(f448,plain,
( $false
| spl0_2 ),
inference(evaluation,[],[f447]) ).
tff(f449,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f448]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f404]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f405]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f449]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
tff(f450,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM013_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n008.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 18:48:09 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.28 Running first-order model finding
% 0.26/0.28 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
% 0.26/0.32 % (2519972)Will run a generic schedule for satisfiability detection.
% 0.26/0.32 % (2519978)% WARNING: option uhcvi not known.
% 0.26/0.32 % (2519978)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1316462602:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.32 % (2519979)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=136414340:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.32 % (2519978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2519972-2519978"...
% 0.26/0.32 % (2519978)...printing done.
% 0.26/0.32 % (2519978)Refutation found. Thanks to Tanya!
% 0.26/0.32 % SZS status Theorem for theBenchmark
% 0.26/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.32 % (2519978)------------------------------
% 0.26/0.32 % (2519978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.32 % (2519978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.32 % (2519978)CaDiCaL version: 2.1.3
% 0.26/0.32 % (2519978)Termination reason: Refutation
% 0.26/0.32 % (2519978)Time elapsed: 0.008 s
% 0.26/0.32 % (2519978)Peak memory usage: 13 MB
% 0.26/0.32 % (2519978)Instructions burned: 13 (million)
% 0.26/0.32 % (2519972)Success in time 0.034 s
% 0.26/0.32 % Vampire exiting
%------------------------------------------------------------------------------