TSTP Solution File: GEO211+2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n025.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 : Wed Aug 30 23:31:52 EDT 2023

% Result   : Theorem 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   9   ~;   3   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (;  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(unit_resulting_resolution,[],[f56,f59,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
      | unorthogonal_lines(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X5,X6] :
      ( unorthogonal_lines(X5,X6)
      | convergent_lines(X5,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.R1H3bKDglB/Vampire---4.8_21168',occu1) ).

fof(f59,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.R1H3bKDglB/Vampire---4.8_21168',apart3) ).

fof(f56,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f54]) ).

fof(f54,plain,
    ( ? [X0] : ~ unorthogonal_lines(X0,X0)
   => ~ unorthogonal_lines(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ? [X0] : ~ unorthogonal_lines(X0,X0),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ~ ! [X0] : unorthogonal_lines(X0,X0),
    inference(rectify,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ! [X5] : unorthogonal_lines(X5,X5),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ! [X5] : unorthogonal_lines(X5,X5),
    file('/export/starexec/sandbox2/tmp/tmp.R1H3bKDglB/Vampire---4.8_21168',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.34  % Computer : n025.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 22:47:25 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.R1H3bKDglB/Vampire---4.8_21168
% 0.15/0.35  % (21337)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (21344)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  % (21339)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  % (21343)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  % (21342)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  % (21340)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  % (21344)First to succeed.
% 0.21/0.41  % (21345)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)
% 0.21/0.41  % (21339)Also succeeded, but the first one will report.
% 0.21/0.41  % (21338)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  % (21340)Also succeeded, but the first one will report.
% 0.21/0.41  % (21344)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Theorem for Vampire---4
% 0.21/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.41  % (21344)------------------------------
% 0.21/0.41  % (21344)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (21344)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (21344)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (21344)Memory used [KB]: 5373
% 0.21/0.41  % (21344)Time elapsed: 0.003 s
% 0.21/0.41  % (21344)------------------------------
% 0.21/0.41  % (21344)------------------------------
% 0.21/0.41  % (21337)Success in time 0.061 s
% 0.21/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------