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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : TIM026_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 02:33:37 PM UTC 2026

% Result   : Theorem 0.19s 0.29s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   2   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   21 (   0 atm;   0 fun;  21 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  :   15 (  13 usr;   1 prp; 0-9 aty)
%            Number of functors    :   11 (   9 usr;   9 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(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/sandbox2/benchmark/Axioms/TIM001_0.ax',anchor_1600_jan1) ).

tff(f88,conjecture,
    ? [X0: day_name] :
      ( weekday(ymd(1600,1,1),X0)
      & ( X0 = saturday ) ),
    file('/export/starexec/sandbox2/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(f203,plain,
    ! [X0: day_name] :
      ( ~ weekday(ymd(1600,1,1),X0)
      | ( saturday != X0 ) ),
    inference(ennf_transformation,[],[f89]) ).

tff(f217,plain,
    weekday(ymd(1600,1,1),saturday),
    inference(cnf_transformation,[],[f14]) ).

tff(f297,plain,
    ! [X0: day_name] :
      ( ~ weekday(ymd(1600,1,1),X0)
      | ( saturday != X0 ) ),
    inference(cnf_transformation,[],[f203]) ).

tff(f322,plain,
    ~ weekday(ymd(1600,1,1),saturday),
    inference(equality_resolution,[],[f297]) ).

tff(f346,plain,
    $false,
    inference(global_subsumption,[],[f217,f322]) ).

%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n019.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 18:47:49 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  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
% 0.19/0.29  % (97133)Will run a generic schedule for satisfiability detection.
% 0.19/0.29  % (97138)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3098090323_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29  % (97138)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.29  % (97138)Terminated due to inappropriate strategy.
% 0.19/0.29  % (97138)------------------------------
% 0.19/0.29  % (97138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29  % (97138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29  % (97138)CaDiCaL version: 2.1.3
% 0.19/0.29  % (97138)Termination reason: Inappropriate
% 0.19/0.29  % (97138)Time elapsed: 0.002 s
% 0.19/0.29  % (97138)Peak memory usage: 10 MB
% 0.19/0.29  % (97138)Instructions burned: 8 (million)
% 0.19/0.29  % (97138)------------------------------
% 0.19/0.29  % (97138)------------------------------
% 0.19/0.29  % (97139)% WARNING: option uhcvi not known.
% 0.19/0.29  % (97139)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3341603286:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29  % (97143)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2231026967:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29  % (97140)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1431438823:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29  % (97141)dis+10_1_sil=32000:sp=arity:random_seed=456013286:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29  % (97142)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3072229019:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29  % (97144)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2227572294:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29  % (97146)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1193992798:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.29  % (97140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-97133-97140"...
% 0.19/0.29  % (97141) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-97133-97141"...
% 0.19/0.29  % (97139) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-97133-97139"...
% 0.19/0.29  % (97143) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-97133-97143"...
% 0.19/0.29  % (97146)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.29  % (97146)Terminated due to inappropriate strategy.
% 0.19/0.29  % (97146)------------------------------
% 0.19/0.29  % (97146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29  % (97146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29  % (97146)CaDiCaL version: 2.1.3
% 0.19/0.29  % (97146)Termination reason: Inappropriate
% 0.19/0.29  % (97146)Time elapsed: 0.002 s
% 0.19/0.29  % (97146)Peak memory usage: 10 MB
% 0.19/0.29  % (97146)Instructions burned: 6 (million)
% 0.19/0.29  % (97146)------------------------------
% 0.19/0.29  % (97146)------------------------------
% 0.19/0.29  % (97142) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-97133-97142"...
% 0.19/0.29  % (97140)...printing done.
% 0.19/0.29  % (97141)...printing done.
% 0.19/0.29  % (97139)...printing done.
% 0.19/0.29  % (97144) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-97133-97144"...
% 0.19/0.29  % (97143)...printing done.
% 0.19/0.29  % (97140)Refutation found. Thanks to Tanya!
% 0.19/0.29  % SZS status Theorem for theBenchmark
% 0.19/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29  % (97140)------------------------------
% 0.19/0.29  % (97140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29  % (97140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29  % (97140)CaDiCaL version: 2.1.3
% 0.19/0.29  % (97140)Termination reason: Refutation
% 0.19/0.29  % (97140)Time elapsed: 0.006 s
% 0.19/0.29  % (97140)Peak memory usage: 12 MB
% 0.19/0.29  % (97140)Instructions burned: 10 (million)
% 0.19/0.29  % (97133)Success in time 0.056 s
% 0.19/0.29  % Vampire exiting
%------------------------------------------------------------------------------