%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TIM026_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 02:33:33 PM UTC 2026
% Result : Theorem 4.09s 1.46s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 4 def)
% Number of atoms : 24 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 2 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 33 ( 0 atm; 0 fun; 33 num; 0 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 : 18 ( 16 usr; 4 prp; 0-9 aty)
% Number of functors : 12 ( 10 usr; 10 con; 0-5 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% 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(func_def_65,type,
sF0: date ).
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(f14,axiom,
weekday(ymd(1600,1,1),saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',anchor_1600_jan1) ).
tff(f88,conjecture,
? [X0: day_name] :
( weekday(ymd(1600,1,1),X0)
& ( X0 = saturday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_1600) ).
tff(f89,negated_conjecture,
~ ? [X0: day_name] :
( weekday(ymd(1600,1,1),X0)
& ( X0 = saturday ) ),
inference(negated_conjecture,[status(cth)],[f88]) ).
tff(f167,plain,
! [X0: day_name] :
( ( saturday != X0 )
| ~ weekday(ymd(1600,1,1),X0) ),
inference(ennf_transformation,[],[f89]) ).
tff(f279,plain,
! [X0: day_name] :
( ( saturday != X0 )
| ~ weekday(ymd(1600,1,1),X0) ),
inference(cnf_transformation,[],[f167]) ).
tff(f321,plain,
weekday(ymd(1600,1,1),saturday),
inference(cnf_transformation,[],[f14]) ).
tff(f338,plain,
~ weekday(ymd(1600,1,1),saturday),
inference(equality_resolution,[],[f279]) ).
tff(f352,definition,
sF0 = ymd(1600,1,1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f353,plain,
ymd(1600,1,1) = sF0,
inference(reorient_equations,[],[f352]) ).
tff(f354,plain,
~ weekday(sF0,saturday),
inference(definition_folding,[],[f338,f353]) ).
tff(f378,definition,
( spl1_1
<=> ( ymd(1600,1,1) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f381,plain,
spl1_1,
inference(avatar_split_clause,[],[f353,f378]) ).
tff(f448,definition,
( spl1_15
<=> weekday(sF0,saturday) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
tff(f451,plain,
~ spl1_15,
inference(avatar_split_clause,[],[f354,f448]) ).
tff(f468,definition,
( spl1_19
<=> weekday(ymd(1600,1,1),saturday) ),
introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition]) ).
tff(f471,plain,
spl1_19,
inference(avatar_split_clause,[],[f321,f468]) ).
tff(f587,plain,
$false,
inference(avatar_smt_refutation,[],[f471,f451,f381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM026_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n014.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 18:47:30 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.30 Running first-order theorem proving
% 0.24/0.30 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.09/1.46 % (2045874)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.09/1.46 % (2045880)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3107666397:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.09/1.46 % (2045880)First to succeed.
% 4.09/1.46 % (2045880)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2045874"
% 4.09/1.46 % (2045883)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3146487108:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.09/1.46 % (2045879)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1274627730:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.09/1.46 % (2045882)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=766002641:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.09/1.46 % (2045885)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1239349571:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.09/1.46 % (2045884)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1780963278:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.09/1.46 % (2045881)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3700573837:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.09/1.46 % (2045883)Instruction limit reached!
% 4.09/1.46 % (2045883)------------------------------
% 4.09/1.46 % (2045883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.46 % (2045883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.46 % (2045883)CaDiCaL version: 2.1.3
% 4.09/1.46 % (2045883)Termination reason: Instruction limit
% 4.09/1.46 % (2045883)Termination phase: Preprocessing 3
% 4.09/1.46 % (2045883)Time elapsed: 0.005 s
% 4.09/1.46 % (2045883)Peak memory usage: 85 MB
% 4.09/1.46 % (2045883)Instructions burned: 4 (million)
% 4.09/1.46 % (2045882)Instruction limit reached!
% 4.09/1.46 % (2045882)------------------------------
% 4.09/1.46 % (2045882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.46 % (2045882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.46 % (2045882)CaDiCaL version: 2.1.3
% 4.09/1.46 % (2045882)Termination reason: Instruction limit
% 4.09/1.46 % (2045882)Termination phase: Property scanning
% 4.09/1.46 % (2045882)Time elapsed: 0.007 s
% 4.09/1.46 % (2045882)Peak memory usage: 86 MB
% 4.09/1.46 % (2045882)Instructions burned: 7 (million)
% 4.09/1.46 % (2045879)Instruction limit reached!
% 4.09/1.46 % (2045879)------------------------------
% 4.09/1.46 % (2045879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.46 % (2045879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.46 % (2045879)CaDiCaL version: 2.1.3
% 4.09/1.46 % (2045879)Termination reason: Instruction limit
% 4.09/1.46 % (2045879)Termination phase: Saturation
% 4.09/1.46 % (2045879)Time elapsed: 0.042 s
% 4.09/1.46 % (2045879)Peak memory usage: 115 MB
% 4.09/1.46 % (2045879)Instructions burned: 12 (million)
% 4.09/1.46 % (2045884)Also succeeded, but the first one will report.
% 4.09/1.46 % (2045885)Also succeeded, but the first one will report.
% 4.09/1.46 % (2045881)Also succeeded, but the first one will report.
% 4.09/1.46 % (2045880)Refutation found. Thanks to Tanya!
% 4.09/1.46 % SZS status Theorem for theBenchmark
% 4.09/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 4.09/1.46 % (2045880)------------------------------
% 4.09/1.46 % (2045880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.46 % (2045880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.46 % (2045880)CaDiCaL version: 2.1.3
% 4.09/1.46 % (2045880)Termination reason: Refutation
% 4.09/1.46 % (2045880)Time elapsed: 0.042 s
% 4.09/1.46 % (2045880)Peak memory usage: 115 MB
% 4.09/1.46 % (2045880)Instructions burned: 24 (million)
% 4.09/1.46 % (2045880)------------------------------
% 4.09/1.46 % (2045880)------------------------------
% 4.09/1.46 % (2045874)Success in time 0.478 s
% 4.09/1.46 % Vampire exiting
%------------------------------------------------------------------------------