TSTP Solution File: GEO216+2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Tue Apr 30 11:14:48 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  15   ~;   2   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f74,plain,
    $false,
    inference(subsumption_resolution,[],[f73,f54]) ).

fof(f54,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).

fof(f73,plain,
    convergent_lines(sK1,sK1),
    inference(resolution,[],[f57,f52]) ).

fof(f52,plain,
    ~ unorthogonal_lines(sK1,sK1),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ~ unorthogonal_lines(sK1,sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f23,f48]) ).

fof(f48,plain,
    ( ? [X0] : ~ unorthogonal_lines(X0,X0)
   => ~ unorthogonal_lines(sK1,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0] : ~ unorthogonal_lines(X0,X0),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ~ ! [X0] : unorthogonal_lines(X0,X0),
    inference(rectify,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X5] : unorthogonal_lines(X5,X5),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X5] : unorthogonal_lines(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f57,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ~ ( ~ unorthogonal_lines(X0,X1)
        & ~ convergent_lines(X0,X1) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X5,X6] :
      ~ ( ~ unorthogonal_lines(X5,X6)
        & ~ convergent_lines(X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coipo1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 05:39:58 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (25521)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35  % (25523)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35  TRYING [1,1]
% 0.11/0.35  % (25525)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35  % (25528)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35  % (25524)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.35  % (25522)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35  % (25526)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35  Cannot enumerate next child to try in an incomplete setup
% 0.11/0.35  % (25523)Refutation not found, incomplete strategy% (25523)------------------------------
% 0.11/0.35  % (25523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35  % (25523)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35  
% 0.11/0.35  % (25523)Memory used [KB]: 835
% 0.11/0.35  % (25523)Time elapsed: 0.003 s
% 0.11/0.35  % (25523)Instructions burned: 4 (million)
% 0.11/0.35  % (25523)------------------------------
% 0.11/0.35  % (25523)------------------------------
% 0.11/0.35  % (25527)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35  % (25526)First to succeed.
% 0.11/0.35  TRYING [1]
% 0.11/0.35  TRYING [1]
% 0.11/0.35  TRYING [1,1]
% 0.11/0.35  % (25528)Also succeeded, but the first one will report.
% 0.11/0.35  Cannot enumerate next child to try in an incomplete setup
% 0.11/0.35  % (25525)Refutation not found, incomplete strategy% (25525)------------------------------
% 0.11/0.35  % (25525)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35  % (25525)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35  
% 0.11/0.35  % (25525)Memory used [KB]: 835
% 0.11/0.35  % (25525)Time elapsed: 0.003 s
% 0.11/0.35  % (25525)Instructions burned: 4 (million)
% 0.11/0.35  % (25525)------------------------------
% 0.11/0.35  % (25525)------------------------------
% 0.11/0.35  % (25522)Also succeeded, but the first one will report.
% 0.11/0.35  % (25526)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (25526)------------------------------
% 0.11/0.35  % (25526)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35  % (25526)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (25526)Memory used [KB]: 771
% 0.11/0.35  % (25526)Time elapsed: 0.002 s
% 0.11/0.35  % (25526)Instructions burned: 2 (million)
% 0.11/0.35  % (25526)------------------------------
% 0.11/0.35  % (25526)------------------------------
% 0.11/0.35  % (25521)Success in time 0.017 s
%------------------------------------------------------------------------------