TSTP Solution File: HWV010-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HWV010-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n023.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 : Thu Aug 31 02:33:02 EDT 2023

% Result   : Unsatisfiable 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   30 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  13   ~;  12   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    7 (;   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f176,plain,
    $false,
    inference(resolution,[],[f172,f169]) ).

fof(f169,plain,
    ~ p_Empty(t_139),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ( ~ p_Empty(t_139)
    | ~ p_Empty(t_139) ),
    inference(resolution,[],[f105,f99]) ).

fof(f99,plain,
    ( ~ sQ0_eqProxy(n0,int_level(t_139))
    | ~ p_Empty(t_139) ),
    inference(equality_proxy_replacement,[],[f93,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f93,plain,
    ( ~ p_Empty(t_139)
    | n0 != int_level(t_139) ),
    inference(definition_unfolding,[],[f91,f21]) ).

fof(f21,axiom,
    ! [X25] : level(X25) = int_level(X25),
    file('/export/starexec/sandbox/tmp/tmp.VO1P4sDDi7/Vampire---4.8_22742',axiom_21) ).

fof(f91,axiom,
    ( ~ p_Empty(t_139)
    | n0 != level(t_139) ),
    file('/export/starexec/sandbox/tmp/tmp.VO1P4sDDi7/Vampire---4.8_22742',quest_1) ).

fof(f105,plain,
    ! [X29] :
      ( sQ0_eqProxy(n0,int_level(X29))
      | ~ p_Empty(X29) ),
    inference(equality_proxy_replacement,[],[f25,f98]) ).

fof(f25,axiom,
    ! [X29] :
      ( ~ p_Empty(X29)
      | n0 = int_level(X29) ),
    file('/export/starexec/sandbox/tmp/tmp.VO1P4sDDi7/Vampire---4.8_22742',axiom_25) ).

fof(f172,plain,
    p_Empty(t_139),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ( p_Empty(t_139)
    | p_Empty(t_139) ),
    inference(resolution,[],[f110,f100]) ).

fof(f100,plain,
    ( sQ0_eqProxy(n0,int_level(t_139))
    | p_Empty(t_139) ),
    inference(equality_proxy_replacement,[],[f94,f98]) ).

fof(f94,plain,
    ( p_Empty(t_139)
    | n0 = int_level(t_139) ),
    inference(definition_unfolding,[],[f92,f21]) ).

fof(f92,axiom,
    ( p_Empty(t_139)
    | n0 = level(t_139) ),
    file('/export/starexec/sandbox/tmp/tmp.VO1P4sDDi7/Vampire---4.8_22742',quest_2) ).

fof(f110,plain,
    ! [X28] :
      ( ~ sQ0_eqProxy(n0,int_level(X28))
      | p_Empty(X28) ),
    inference(equality_proxy_replacement,[],[f24,f98]) ).

fof(f24,axiom,
    ! [X28] :
      ( p_Empty(X28)
      | n0 != int_level(X28) ),
    file('/export/starexec/sandbox/tmp/tmp.VO1P4sDDi7/Vampire---4.8_22742',axiom_24) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : HWV010-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 17:04:25 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.VO1P4sDDi7/Vampire---4.8_22742
% 0.15/0.37  % (22992)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (22996)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.43  % (22997)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43  % (22998)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.22/0.43  % (22993)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.43  % (22994)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.43  % (22995)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.43  % (22999)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.44  % (22999)Refutation not found, incomplete strategy% (22999)------------------------------
% 0.22/0.44  % (22999)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44  % (22999)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44  % (22999)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44  
% 0.22/0.44  % (22999)Memory used [KB]: 5500
% 0.22/0.44  % (22999)Time elapsed: 0.004 s
% 0.22/0.44  % (22999)------------------------------
% 0.22/0.44  % (22999)------------------------------
% 0.22/0.44  % (22994)First to succeed.
% 0.22/0.44  % (22994)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44  % (22994)------------------------------
% 0.22/0.44  % (22994)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44  % (22994)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44  % (22994)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (22994)Memory used [KB]: 1151
% 0.22/0.44  % (22994)Time elapsed: 0.005 s
% 0.22/0.44  % (22994)------------------------------
% 0.22/0.44  % (22994)------------------------------
% 0.22/0.44  % (22992)Success in time 0.066 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------