TSTP Solution File: SYN066-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n017.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 03:37:24 EDT 2023

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  14   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,plain,
    $false,
    inference(avatar_sat_refutation,[],[f13,f17,f19]) ).

fof(f19,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f18]) ).

fof(f18,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f9,f6]) ).

fof(f6,axiom,
    ! [X2] : ~ big_r(a,X2),
    file('/export/starexec/sandbox2/tmp/tmp.ftrBjBqsHx/Vampire---4.8_6708',clause_6) ).

fof(f9,plain,
    ( ! [X2] : big_r(X2,X2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f8]) ).

fof(f8,plain,
    ( spl0_1
  <=> ! [X2] : big_r(X2,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f17,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f16]) ).

fof(f16,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f15,f14]) ).

fof(f14,plain,
    ( ! [X0,X1] : big_p(X0,X1)
    | ~ spl0_2 ),
    inference(resolution,[],[f4,f12]) ).

fof(f12,plain,
    ( ! [X0,X1] : ~ big_q(X1,X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl0_2
  <=> ! [X0,X1] : ~ big_q(X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( big_q(i(X1,X0),X1)
      | big_p(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.ftrBjBqsHx/Vampire---4.8_6708',clause_4) ).

fof(f15,plain,
    ( ! [X0,X1] : ~ big_p(f(X0,X1),g(X0))
    | ~ spl0_2 ),
    inference(resolution,[],[f3,f12]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_q(h(X1,X0),g(X1))
      | ~ big_p(f(X1,X0),g(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ftrBjBqsHx/Vampire---4.8_6708',clause_3) ).

fof(f13,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f11,f8]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ big_q(X1,X0)
      | big_r(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ftrBjBqsHx/Vampire---4.8_6708',clause_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 19:14:56 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.13/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ftrBjBqsHx/Vampire---4.8_6708
% 0.13/0.36  % (6913)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (6920)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.41  % (6917)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.41  % (6921)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.41  % (6919)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.41  % (6916)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.41  % (6915)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.41  % (6922)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42  % (6920)First to succeed.
% 0.21/0.42  % (6921)Also succeeded, but the first one will report.
% 0.21/0.42  % (6915)Also succeeded, but the first one will report.
% 0.21/0.42  % (6920)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42  % (6920)------------------------------
% 0.21/0.42  % (6920)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (6920)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (6920)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (6920)Memory used [KB]: 5373
% 0.21/0.42  % (6920)Time elapsed: 0.004 s
% 0.21/0.42  % (6920)------------------------------
% 0.21/0.42  % (6920)------------------------------
% 0.21/0.42  % (6913)Success in time 0.061 s
% 0.21/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------