%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO171+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_sat --cores 0 -t %d %s

% Computer : n028.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 16:12:05 EDT 2022

% Result   : Theorem 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  10   ~;   3   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (  16   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,plain,
    $false,
    inference(subsumption_resolution,[],[f67,f55]) ).

fof(f55,plain,
    ~ distinct_lines(sK1,sK0),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ~ distinct_lines(sK1,sK0)
    & convergent_lines(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f43]) ).

fof(f43,plain,
    ( ? [X0,X1] :
        ( ~ distinct_lines(X1,X0)
        & convergent_lines(X1,X0) )
   => ( ~ distinct_lines(sK1,sK0)
      & convergent_lines(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ? [X0,X1] :
      ( ~ distinct_lines(X1,X0)
      & convergent_lines(X1,X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X1,X0] :
        ( convergent_lines(X1,X0)
       => distinct_lines(X1,X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X1,X0] :
        ( convergent_lines(X0,X1)
       => distinct_lines(X0,X1) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X1,X0] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f67,plain,
    distinct_lines(sK1,sK0),
    inference(resolution,[],[f59,f54]) ).

fof(f54,plain,
    convergent_lines(sK1,sK0),
    inference(cnf_transformation,[],[f44]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | distinct_lines(X0,X1) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0] :
      ( ~ convergent_lines(X1,X0)
      | distinct_lines(X1,X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( convergent_lines(X1,X0)
     => distinct_lines(X1,X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO171+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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 21:32:33 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (20570)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.47  % (20578)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.47  % (20570)First to succeed.
% 0.20/0.47  % (20570)Refutation found. Thanks to Tanya!
% 0.20/0.47  % SZS status Theorem for theBenchmark
% 0.20/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47  % (20570)------------------------------
% 0.20/0.47  % (20570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (20570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (20570)Termination reason: Refutation
% 0.20/0.47  
% 0.20/0.47  % (20570)Memory used [KB]: 5373
% 0.20/0.47  % (20570)Time elapsed: 0.075 s
% 0.20/0.47  % (20570)Instructions burned: 1 (million)
% 0.20/0.47  % (20570)------------------------------
% 0.20/0.47  % (20570)------------------------------
% 0.20/0.47  % (20565)Success in time 0.123 s
%------------------------------------------------------------------------------