%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 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 : Thu Aug 31 12:52:42 EDT 2023

% Result   : Theorem 0.23s 0.44s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   73 (  33   ~;  20   |;  16   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (;  24   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f378,plain,
    $false,
    inference(subsumption_resolution,[],[f73,f358]) ).

fof(f358,plain,
    ~ r1(sK2),
    inference(resolution,[],[f354,f193]) ).

fof(f193,plain,
    ~ sP23(sK0),
    inference(resolution,[],[f135,f75]) ).

fof(f75,plain,
    r2(sK1,sK0),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( r2(sK1,sK0)
    & r1(sK1)
    & r1(sK2)
    & id(sK2,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f39,f42,f41,f40]) ).

fof(f40,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( r2(X1,X0)
            & r1(X1) )
        & ? [X2] :
            ( r1(X2)
            & id(X2,X0) ) )
   => ( ? [X1] :
          ( r2(X1,sK0)
          & r1(X1) )
      & ? [X2] :
          ( r1(X2)
          & id(X2,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ( ? [X1] :
        ( r2(X1,sK0)
        & r1(X1) )
   => ( r2(sK1,sK0)
      & r1(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ( ? [X2] :
        ( r1(X2)
        & id(X2,sK0) )
   => ( r1(sK2)
      & id(sK2,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f39,plain,
    ? [X0] :
      ( ? [X1] :
          ( r2(X1,X0)
          & r1(X1) )
      & ? [X2] :
          ( r1(X2)
          & id(X2,X0) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] :
        ( ! [X1] :
            ( ~ r2(X1,X0)
            | ~ r1(X1) )
        | ! [X2] :
            ( ~ r1(X2)
            | ~ id(X2,X0) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X62] :
        ( ! [X46] :
            ( ~ r2(X46,X62)
            | ~ r1(X46) )
        | ! [X45] :
            ( ~ r1(X45)
            | ~ id(X45,X62) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X62] :
      ( ! [X46] :
          ( ~ r2(X46,X62)
          | ~ r1(X46) )
      | ! [X45] :
          ( ~ r1(X45)
          | ~ id(X45,X62) ) ),
    file('/export/starexec/sandbox/tmp/tmp.vx0wVz6LzR/Vampire---4.8_30266',zerounidone) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ r2(X0,X1)
      | ~ sP23(X1) ),
    inference(general_splitting,[],[f97,f134_D]) ).

fof(f134,plain,
    ! [X2,X1] :
      ( ~ id(X2,X1)
      | ~ r1(X2)
      | sP23(X1) ),
    inference(cnf_transformation,[],[f134_D]) ).

fof(f134_D,plain,
    ! [X1] :
      ( ! [X2] :
          ( ~ id(X2,X1)
          | ~ r1(X2) )
    <=> ~ sP23(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,X1)
      | ~ r1(X2)
      | ~ id(X2,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ r2(X0,X1)
      | ! [X2] :
          ( ~ r1(X2)
          | ~ id(X2,X1) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X64,X65] :
      ( ~ r2(X64,X65)
      | ! [X66] :
          ( ~ r1(X66)
          | ~ id(X66,X65) ) ),
    file('/export/starexec/sandbox/tmp/tmp.vx0wVz6LzR/Vampire---4.8_30266',axiom_7a) ).

fof(f354,plain,
    ( sP23(sK0)
    | ~ r1(sK2) ),
    inference(resolution,[],[f134,f72]) ).

fof(f72,plain,
    id(sK2,sK0),
    inference(cnf_transformation,[],[f43]) ).

fof(f73,plain,
    r1(sK2),
    inference(cnf_transformation,[],[f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n019.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   : Sun Aug 27 09:07:28 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.vx0wVz6LzR/Vampire---4.8_30266
% 0.15/0.37  % (30387)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (30390)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)
% 0.23/0.43  % (30391)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)
% 0.23/0.43  % (30389)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)
% 0.23/0.43  % (30388)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)
% 0.23/0.43  % (30393)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)
% 0.23/0.43  % (30392)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)
% 0.23/0.43  % (30394)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)
% 0.23/0.43  % (30389)First to succeed.
% 0.23/0.44  % (30391)Also succeeded, but the first one will report.
% 0.23/0.44  % (30390)Also succeeded, but the first one will report.
% 0.23/0.44  % (30389)Refutation found. Thanks to Tanya!
% 0.23/0.44  % SZS status Theorem for Vampire---4
% 0.23/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44  % (30389)------------------------------
% 0.23/0.44  % (30389)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44  % (30389)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44  % (30389)Termination reason: Refutation
% 0.23/0.44  
% 0.23/0.44  % (30389)Memory used [KB]: 1151
% 0.23/0.44  % (30389)Time elapsed: 0.007 s
% 0.23/0.44  % (30389)------------------------------
% 0.23/0.44  % (30389)------------------------------
% 0.23/0.44  % (30387)Success in time 0.065 s
% 0.23/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------