TSTP Solution File: GEO208+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO208+1 : 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 : n011.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 16:09:13 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   56 (  26   ~;  14   |;  12   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   29 (  23   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(subsumption_resolution,[],[f77,f53]) ).

fof(f53,plain,
    ~ apart_point_and_line(sK2,sK0),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ? [X0,X1,X2] :
      ( distinct_lines(X0,X1)
      & ~ convergent_lines(X0,X1)
      & ~ apart_point_and_line(X2,X0)
      & ~ apart_point_and_line(X2,X1) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ? [X2,X0,X1] :
      ( distinct_lines(X0,X1)
      & ~ apart_point_and_line(X2,X1)
      & ~ convergent_lines(X0,X1)
      & ~ apart_point_and_line(X2,X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X2,X0,X1] :
        ( ( ~ apart_point_and_line(X2,X1)
          & ~ convergent_lines(X0,X1)
          & ~ apart_point_and_line(X2,X0) )
       => ~ distinct_lines(X0,X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X1,X2,X0] :
        ( ( ~ convergent_lines(X1,X2)
          & ~ apart_point_and_line(X0,X2)
          & ~ apart_point_and_line(X0,X1) )
       => ~ distinct_lines(X1,X2) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X1,X2,X0] :
      ( ( ~ convergent_lines(X1,X2)
        & ~ apart_point_and_line(X0,X2)
        & ~ apart_point_and_line(X0,X1) )
     => ~ distinct_lines(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f77,plain,
    apart_point_and_line(sK2,sK0),
    inference(resolution,[],[f73,f52]) ).

fof(f52,plain,
    ~ apart_point_and_line(sK2,sK1),
    inference(cnf_transformation,[],[f42]) ).

fof(f73,plain,
    ! [X0] :
      ( apart_point_and_line(X0,sK1)
      | apart_point_and_line(X0,sK0) ),
    inference(subsumption_resolution,[],[f72,f54]) ).

fof(f54,plain,
    ~ convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f42]) ).

fof(f72,plain,
    ! [X0] :
      ( convergent_lines(sK0,sK1)
      | apart_point_and_line(X0,sK1)
      | apart_point_and_line(X0,sK0) ),
    inference(resolution,[],[f51,f55]) ).

fof(f55,plain,
    distinct_lines(sK0,sK1),
    inference(cnf_transformation,[],[f42]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_lines(X1,X2)
      | convergent_lines(X1,X2)
      | apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
      | convergent_lines(X1,X2)
      | ~ distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X1)
      | convergent_lines(X1,X2)
      | ~ distinct_lines(X1,X2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( distinct_lines(X1,X2)
     => ( apart_point_and_line(X0,X2)
        | apart_point_and_line(X0,X1)
        | convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 21:25:25 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  % (5687)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.49  % (5703)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.49  % (5695)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.50  % (5695)First to succeed.
% 0.20/0.50  % (5695)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (5695)------------------------------
% 0.20/0.50  % (5695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (5695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (5695)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (5695)Memory used [KB]: 5884
% 0.20/0.50  % (5695)Time elapsed: 0.099 s
% 0.20/0.50  % (5695)Instructions burned: 2 (million)
% 0.20/0.50  % (5695)------------------------------
% 0.20/0.50  % (5695)------------------------------
% 0.20/0.50  % (5674)Success in time 0.144 s
%------------------------------------------------------------------------------