TSTP Solution File: GEO236+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO236+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 : n006.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 16:09:27 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 :   29 (  11   ~;   5   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   23 (  17   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f153,plain,
    $false,
    inference(subsumption_resolution,[],[f117,f126]) ).

fof(f126,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,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(f117,plain,
    left_apart_point(sK2,sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ? [X1,X2,X0] :
      ( ~ unequally_directed_lines(X2,X1)
      & ~ distinct_lines(X2,X1)
      & right_apart_point(X0,X1)
      & left_apart_point(X0,X2) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ? [X1,X0,X2] :
      ( ~ distinct_lines(X2,X1)
      & ~ unequally_directed_lines(X2,X1)
      & left_apart_point(X0,X2)
      & right_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f39]) ).

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

fof(f38,negated_conjecture,
    ~ ! [X2,X4,X3] :
        ( ( right_apart_point(X2,X4)
          & left_apart_point(X2,X3) )
       => ( distinct_lines(X3,X4)
          | unequally_directed_lines(X3,X4) ) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X2,X4,X3] :
      ( ( right_apart_point(X2,X4)
        & left_apart_point(X2,X3) )
     => ( distinct_lines(X3,X4)
        | unequally_directed_lines(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO236+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n006.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 21:31:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (21728)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (21740)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)
% 0.20/0.51  % (21734)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51  % (21745)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)
% 0.20/0.51  % (21732)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)
% 0.20/0.51  % (21749)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (21732)First to succeed.
% 0.20/0.52  % (21730)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  % (21736)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)
% 0.20/0.52  % (21732)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  % (21732)------------------------------
% 0.20/0.52  % (21732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (21732)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (21732)Memory used [KB]: 6012
% 0.20/0.52  % (21732)Time elapsed: 0.004 s
% 0.20/0.52  % (21732)Instructions burned: 2 (million)
% 0.20/0.52  % (21732)------------------------------
% 0.20/0.52  % (21732)------------------------------
% 0.20/0.52  % (21717)Success in time 0.17 s
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