%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM008_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:33:35 PM UTC 2026
% Result : Theorem 0.90s 0.40s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 69 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 31 ~; 28 |; 11 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 149 ( 28 atm; 5 fun; 70 num; 46 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 ( 13 usr; 1 prp; 0-9 aty)
% Number of functors : 16 ( 9 usr; 13 con; 0-5 aty)
% Number of variables : 46 ( 40 !; 6 ?; 46 :)
% 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/sandbox/benchmark/Axioms/TIM001_0.ax',trap_ax) ).
tff(f37,axiom,
! [X0: $int] : is_days_in_month(1,X0,31),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',m1) ).
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/sandbox/benchmark/Axioms/TIM001_0.ax',rule_base) ).
tff(f88,conjecture,
? [X0: $int,X1: $int,X2: $int] :
( calc_date($sum(1,10),1,2024,ymd(X0,X1,X2))
& ( X2 = 11 )
& valid_day(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_simple_add) ).
tff(f89,negated_conjecture,
~ ? [X0: $int,X1: $int,X2: $int] :
( calc_date($sum(1,10),1,2024,ymd(X0,X1,X2))
& ( X2 = 11 )
& 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(1,10),1,2024,ymd(X0,X1,X2))
| ( 11 != X2 )
| ~ valid_day(X2) ),
inference(ennf_transformation,[],[f89]) ).
tff(f208,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(cnf_transformation,[],[f144]) ).
tff(f245,plain,
! [X0: $int] : is_days_in_month(1,X0,31),
inference(cnf_transformation,[],[f37]) ).
tff(f260,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( calc_date(X0,X1,X2,ymd(X2,X1,X0))
| ~ is_days_in_month(X1,X2,X3)
| ~ $less(0,X0)
| $less(X3,X0) ),
inference(cnf_transformation,[],[f174]) ).
tff(f301,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ calc_date($sum(1,10),1,2024,ymd(X0,X1,X2))
| ( 11 != X2 )
| ~ valid_day(X2) ),
inference(cnf_transformation,[],[f206]) ).
tff(f326,plain,
! [X0: $int,X1: $int] :
( ~ calc_date($sum(1,10),1,2024,ymd(X0,X1,11))
| ~ valid_day(11) ),
inference(equality_resolution,[],[f301]) ).
tff(f327,plain,
! [X0: $int,X1: $int] :
( ~ calc_date(11,1,2024,ymd(X0,X1,11))
| ~ valid_day(11) ),
inference(evaluation,[],[f326]) ).
tff(f819,plain,
! [X0: $int] :
( ~ is_days_in_month(1,2024,X0)
| ~ $less(0,11)
| $less(X0,11)
| ~ valid_day(11) ),
inference(resolution,[],[f260,f327]) ).
tff(f823,plain,
! [X0: $int] :
( ~ is_days_in_month(1,2024,X0)
| $less(X0,11)
| ~ valid_day(11) ),
inference(evaluation,[],[f819]) ).
tff(f824,plain,
( $less(31,11)
| ~ valid_day(11) ),
inference(resolution,[],[f823,f245]) ).
tff(f825,plain,
~ valid_day(11),
inference(evaluation,[],[f824]) ).
tff(f828,plain,
( ~ $less(0,11)
| $less(31,11) ),
inference(resolution,[],[f825,f208]) ).
tff(f829,plain,
$false,
inference(evaluation,[],[f828]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM008_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 18:42:51 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/0.40 % (3869892)Will run a generic schedule for satisfiability detection.
% 0.90/0.40 % (3869902)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4060275604:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.40 % (3869898)% WARNING: option uhcvi not known.
% 0.90/0.40 % (3869901)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=534507257:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.40 % (3869897)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4068627157_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.40 % (3869899)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4000697657:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.40 % (3869898)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2485931122:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.40 % (3869903)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2872917843:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.40 % (3869897)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.90/0.40 % (3869897)Terminated due to inappropriate strategy.
% 0.90/0.40 % (3869897)------------------------------
% 0.90/0.40 % (3869897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.40 % (3869897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.40 % (3869897)CaDiCaL version: 2.1.3
% 0.90/0.40 % (3869897)Termination reason: Inappropriate
% 0.90/0.40 % (3869897)Time elapsed: 0.005 s
% 0.90/0.40 % (3869897)Peak memory usage: 10 MB
% 0.90/0.40 % (3869897)Instructions burned: 8 (million)
% 0.90/0.40 % (3869897)------------------------------
% 0.90/0.40 % (3869897)------------------------------
% 0.90/0.40 % (3869900)dis+10_1_sil=32000:sp=arity:random_seed=3243061675:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.40 % (3869910)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1118717871:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.90/0.40 % (3869910)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.90/0.40 % (3869910)Terminated due to inappropriate strategy.
% 0.90/0.40 % (3869910)------------------------------
% 0.90/0.40 % (3869910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.40 % (3869910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.40 % (3869910)CaDiCaL version: 2.1.3
% 0.90/0.40 % (3869910)Termination reason: Inappropriate
% 0.90/0.40 % (3869910)Time elapsed: 0.004 s
% 0.90/0.40 % (3869910)Peak memory usage: 10 MB
% 0.90/0.40 % (3869910)Instructions burned: 7 (million)
% 0.90/0.40 % (3869910)------------------------------
% 0.90/0.40 % (3869910)------------------------------
% 0.90/0.40 % (3869902)Instruction limit reached!
% 0.90/0.40 % (3869902)------------------------------
% 0.90/0.40 % (3869902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.40 % (3869902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.40 % (3869902)CaDiCaL version: 2.1.3
% 0.90/0.40 % (3869902)Termination reason: Instruction limit
% 0.90/0.40 % (3869902)Termination phase: Saturation
% 0.90/0.40 % (3869902)Time elapsed: 0.046 s
% 0.90/0.40 % (3869902)Peak memory usage: 13 MB
% 0.90/0.40 % (3869902)Instructions burned: 134 (million)
% 0.90/0.40 % (3869914)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2088282619:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.90/0.40 % (3869913)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3356736919:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.40 % (3869901)Instruction limit reached!
% 0.90/0.40 % (3869901)------------------------------
% 0.90/0.40 % (3869901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.40 % (3869901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.40 % (3869901)CaDiCaL version: 2.1.3
% 0.90/0.40 % (3869901)Termination reason: Instruction limit
% 0.90/0.40 % (3869901)Termination phase: Saturation
% 0.90/0.40 % (3869901)Time elapsed: 0.078 s
% 0.90/0.40 % (3869901)Peak memory usage: 13 MB
% 0.90/0.40 % (3869901)Instructions burned: 122 (million)
% 0.90/0.40 % (3869917)ott-21_1_sil=16000:fs=off:random_seed=1823589569:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.90/0.40 % (3869903)Instruction limit reached!
% 0.90/0.40 % (3869903)------------------------------
% 0.90/0.40 % (3869903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.40 % (3869903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.40 % (3869903)CaDiCaL version: 2.1.3
% 0.90/0.40 % (3869903)Termination reason: Instruction limit
% 0.90/0.40 % (3869903)Termination phase: Saturation
% 0.90/0.40 % (3869903)Time elapsed: 0.100 s
% 0.90/0.40 % (3869903)Peak memory usage: 13 MB
% 0.90/0.40 % (3869903)Instructions burned: 159 (million)
% 0.90/0.40 % (3869917) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3869892-3869917"...
% 0.90/0.40 % (3869917)...printing done.
% 0.90/0.40 % (3869917)Refutation found. Thanks to Tanya!
% 0.90/0.40 % SZS status Theorem for theBenchmark
% 0.90/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.41 % (3869917)------------------------------
% 0.90/0.41 % (3869917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.41 % (3869917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.41 % (3869917)CaDiCaL version: 2.1.3
% 0.90/0.41 % (3869917)Termination reason: Refutation
% 0.90/0.41 % (3869917)Time elapsed: 0.015 s
% 0.90/0.41 % (3869917)Peak memory usage: 12 MB
% 0.90/0.41 % (3869917)Instructions burned: 24 (million)
% 0.90/0.41 % (3869892)Success in time 0.166 s
% 0.90/0.41 % Vampire exiting
%------------------------------------------------------------------------------