TSTP Solution File: GEO264+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO264+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n007.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 16:09:36 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   27 (   9   ~;   2   |;  10   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (  20   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f135,plain,
    $false,
    inference(subsumption_resolution,[],[f104,f118]) ).

fof(f118,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,X1)
      & ~ left_apart_point(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,X1)
        | left_apart_point(X0,reverse_line(X1)) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X3] :
      ~ ( left_apart_point(X2,X3)
        | left_apart_point(X2,reverse_line(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).

fof(f104,plain,
    left_apart_point(sK0,line_connecting(sK3,sK1)),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ? [X1,X2,X0,X3] :
      ( left_apart_point(X1,line_connecting(X3,X2))
      & ~ left_apart_point(X0,line_connecting(X3,X2))
      & right_apart_point(X0,line_connecting(X2,X1))
      & right_apart_point(X0,line_connecting(X1,X3)) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ? [X3,X0,X2,X1] :
      ( ~ left_apart_point(X0,line_connecting(X3,X2))
      & right_apart_point(X0,line_connecting(X1,X3))
      & right_apart_point(X0,line_connecting(X2,X1))
      & left_apart_point(X1,line_connecting(X3,X2)) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X3,X0,X2,X1] :
        ( left_apart_point(X1,line_connecting(X3,X2))
       => ( ( right_apart_point(X0,line_connecting(X1,X3))
            & right_apart_point(X0,line_connecting(X2,X1)) )
         => left_apart_point(X0,line_connecting(X3,X2)) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X8,X6,X5,X2] :
        ( left_apart_point(X6,line_connecting(X2,X5))
       => ( ( right_apart_point(X8,line_connecting(X6,X2))
            & right_apart_point(X8,line_connecting(X5,X6)) )
         => left_apart_point(X8,line_connecting(X2,X5)) ) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X8,X6,X5,X2] :
      ( left_apart_point(X6,line_connecting(X2,X5))
     => ( ( right_apart_point(X8,line_connecting(X6,X2))
          & right_apart_point(X8,line_connecting(X5,X6)) )
       => left_apart_point(X8,line_connecting(X2,X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO264+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:19:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (27508)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (27515)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (27512)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)
% 0.20/0.52  % (27523)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (27515)First to succeed.
% 0.20/0.52  % (27513)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (27515)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (27515)------------------------------
% 0.20/0.52  % (27515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27515)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (27515)Memory used [KB]: 6012
% 0.20/0.52  % (27515)Time elapsed: 0.004 s
% 0.20/0.52  % (27515)Instructions burned: 2 (million)
% 0.20/0.52  % (27515)------------------------------
% 0.20/0.52  % (27515)------------------------------
% 0.20/0.52  % (27502)Success in time 0.166 s
%------------------------------------------------------------------------------