%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n008.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 31 16:09:18 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   65 (  31   ~;  14   |;  15   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   42 (  30   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f54,plain,
    $false,
    inference(subsumption_resolution,[],[f50,f27]) ).

fof(f27,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f50,plain,
    convergent_lines(sK0,sK0),
    inference(resolution,[],[f44,f28]) ).

fof(f28,plain,
    ~ convergent_lines(sK1,sK0),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ~ convergent_lines(sK1,sK2)
    & convergent_lines(sK0,sK2)
    & ~ convergent_lines(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24]) ).

fof(f24,plain,
    ( ? [X0,X1,X2] :
        ( ~ convergent_lines(X1,X2)
        & convergent_lines(X0,X2)
        & ~ convergent_lines(X1,X0) )
   => ( ~ convergent_lines(sK1,sK2)
      & convergent_lines(sK0,sK2)
      & ~ convergent_lines(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( ~ convergent_lines(X1,X2)
      & convergent_lines(X0,X2)
      & ~ convergent_lines(X1,X0) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ? [X0,X2,X1] :
      ( ~ convergent_lines(X2,X1)
      & convergent_lines(X0,X1)
      & ~ convergent_lines(X2,X0) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ? [X1,X2,X0] :
      ( convergent_lines(X0,X1)
      & ~ convergent_lines(X2,X0)
      & ~ convergent_lines(X2,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ~ ! [X1,X2,X0] :
        ( ( ~ convergent_lines(X2,X0)
          & ~ convergent_lines(X2,X1) )
       => ~ convergent_lines(X0,X1) ),
    inference(rectify,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X6,X7,X5] :
        ( ( ~ convergent_lines(X5,X6)
          & ~ convergent_lines(X5,X7) )
       => ~ convergent_lines(X6,X7) ),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X6,X7,X5] :
      ( ( ~ convergent_lines(X5,X6)
        & ~ convergent_lines(X5,X7) )
     => ~ convergent_lines(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f44,plain,
    ! [X0] :
      ( convergent_lines(sK1,X0)
      | convergent_lines(sK0,X0) ),
    inference(resolution,[],[f43,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X1,X0)
      | convergent_lines(X1,X2)
      | convergent_lines(X0,X2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X2)
      | ~ convergent_lines(X1,X0)
      | convergent_lines(X1,X2) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ! [X1,X0,X2] :
      ( convergent_lines(X1,X2)
      | ~ convergent_lines(X0,X1)
      | convergent_lines(X0,X2) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X1,X0,X2] :
      ( convergent_lines(X0,X2)
      | convergent_lines(X1,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X0,X2)
        | convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).

fof(f43,plain,
    convergent_lines(sK0,sK1),
    inference(subsumption_resolution,[],[f40,f27]) ).

fof(f40,plain,
    ( convergent_lines(sK2,sK2)
    | convergent_lines(sK0,sK1) ),
    inference(resolution,[],[f33,f30]) ).

fof(f30,plain,
    ~ convergent_lines(sK1,sK2),
    inference(cnf_transformation,[],[f25]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( convergent_lines(sK2,X1)
      | convergent_lines(X0,X1)
      | convergent_lines(sK0,X0) ),
    inference(resolution,[],[f32,f31]) ).

fof(f32,plain,
    ! [X0] :
      ( convergent_lines(sK2,X0)
      | convergent_lines(sK0,X0) ),
    inference(resolution,[],[f29,f31]) ).

fof(f29,plain,
    convergent_lines(sK0,sK2),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:33:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (4831)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (4839)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (4831)First to succeed.
% 0.19/0.52  % (4849)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52  % (4831)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (4831)------------------------------
% 0.19/0.52  % (4831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4831)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (4831)Memory used [KB]: 1407
% 0.19/0.52  % (4831)Time elapsed: 0.113 s
% 0.19/0.52  % (4831)Instructions burned: 2 (million)
% 0.19/0.52  % (4831)------------------------------
% 0.19/0.52  % (4831)------------------------------
% 0.19/0.52  % (4825)Success in time 0.173 s
%------------------------------------------------------------------------------