TSTP Solution File: ARI713_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI713_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 13:42:51 EDT 2023

% Result   : Theorem 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :   11 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   7   ~;   0   |;   0   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   28 (   0 atm;  24 fun;   0 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   1 usr;   1 con; 0-1 aty)
%            Number of variables   :    4 (;   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sK0: $real ).

tff(f25,plain,
    $false,
    inference(avatar_smt_refutation,[],[f24]) ).

tff(f24,plain,
    ~ spl1_1,
    inference(avatar_split_clause,[],[f19,f21]) ).

tff(f21,plain,
    ( spl1_1
  <=> ( $ceiling(sK0) = $ceiling($ceiling(sK0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f19,plain,
    $ceiling(sK0) != $ceiling($ceiling(sK0)),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    $ceiling(sK0) != $ceiling($ceiling(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: $real] : ( $ceiling(X0) != $ceiling($ceiling(X0)) )
   => ( $ceiling(sK0) != $ceiling($ceiling(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: $real] : ( $ceiling(X0) != $ceiling($ceiling(X0)) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] : ( $ceiling(X0) = $ceiling($ceiling(X0)) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] : ( $ceiling(X0) = $ceiling($ceiling(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.wf8rMQP5BH/Vampire---4.8_18533',prove) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI713_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 30 18:05:27 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.41  % (18639)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (18640)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42  % (18643)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42  % (18641)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42  % (18642)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42  % (18644)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.42  % (18640)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42  % (18640)Terminated due to inappropriate strategy.
% 0.21/0.42  % (18640)------------------------------
% 0.21/0.42  % (18640)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (18640)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (18640)Termination reason: Inappropriate
% 0.21/0.42  
% 0.21/0.42  % (18645)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.42  % (18640)Memory used [KB]: 767
% 0.21/0.42  % (18640)Time elapsed: 0.002 s
% 0.21/0.42  % (18640)------------------------------
% 0.21/0.42  % (18640)------------------------------
% 0.21/0.42  % (18641)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42  % (18643)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42  % (18641)Terminated due to inappropriate strategy.
% 0.21/0.42  % (18641)------------------------------
% 0.21/0.42  % (18641)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (18643)Terminated due to inappropriate strategy.
% 0.21/0.42  % (18643)------------------------------
% 0.21/0.42  % (18643)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (18641)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (18643)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (18641)Termination reason: Inappropriate
% 0.21/0.42  
% 0.21/0.42  % (18643)Termination reason: Inappropriate
% 0.21/0.42  
% 0.21/0.42  % (18641)Memory used [KB]: 767
% 0.21/0.42  % (18643)Memory used [KB]: 767
% 0.21/0.42  % (18641)Time elapsed: 0.002 s
% 0.21/0.42  % (18643)Time elapsed: 0.003 s
% 0.21/0.42  % (18641)------------------------------
% 0.21/0.42  % (18641)------------------------------
% 0.21/0.42  % (18643)------------------------------
% 0.21/0.42  % (18643)------------------------------
% 0.21/0.42  % (18646)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.42  % (18647)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.21/0.42  % (18647)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42  % (18647)Terminated due to inappropriate strategy.
% 0.21/0.42  % (18647)------------------------------
% 0.21/0.42  % (18647)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (18647)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (18647)Termination reason: Inappropriate
% 0.21/0.42  
% 0.21/0.42  % (18647)Memory used [KB]: 767
% 0.21/0.42  % (18647)Time elapsed: 0.003 s
% 0.21/0.42  % (18647)------------------------------
% 0.21/0.42  % (18647)------------------------------
% 0.21/0.43  % (18648)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.21/0.43  % (18649)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.21/0.43  % (18650)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.21/0.48  % (18642)First to succeed.
% 0.21/0.48  % (18642)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Theorem for Vampire---4
% 0.21/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48  % (18642)------------------------------
% 0.21/0.48  % (18642)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48  % (18642)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48  % (18642)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (18642)Memory used [KB]: 5373
% 0.21/0.48  % (18642)Time elapsed: 0.061 s
% 0.21/0.48  % (18642)------------------------------
% 0.21/0.48  % (18642)------------------------------
% 0.21/0.48  % (18639)Success in time 0.117 s
% 0.21/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------