TSTP Solution File: GEO227+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 16:09:23 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   61 (  28   ~;  14   |;  14   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   20 (  16   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(subsumption_resolution,[],[f143,f114]) ).

fof(f114,plain,
    line(sK0),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ? [X1,X0] :
      ( ~ unequally_directed_lines(X1,X0)
      & line(X0)
      & ~ unequally_directed_lines(X1,reverse_line(X0))
      & line(X1) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ? [X0,X1] :
      ( ~ unequally_directed_lines(X1,X0)
      & ~ unequally_directed_lines(X1,reverse_line(X0))
      & line(X0)
      & line(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1] :
        ( ( line(X0)
          & line(X1) )
       => ~ ( ~ unequally_directed_lines(X1,X0)
            & ~ unequally_directed_lines(X1,reverse_line(X0)) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X2,X1] :
        ( ( line(X1)
          & line(X2) )
       => ~ ( ~ unequally_directed_lines(X1,X2)
            & ~ unequally_directed_lines(X1,reverse_line(X2)) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X2,X1] :
      ( ( line(X1)
        & line(X2) )
     => ~ ( ~ unequally_directed_lines(X1,X2)
          & ~ unequally_directed_lines(X1,reverse_line(X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f143,plain,
    ~ line(sK0),
    inference(subsumption_resolution,[],[f142,f116]) ).

fof(f116,plain,
    line(sK1),
    inference(cnf_transformation,[],[f72]) ).

fof(f142,plain,
    ( ~ line(sK1)
    | ~ line(sK0) ),
    inference(subsumption_resolution,[],[f139,f117]) ).

fof(f117,plain,
    ~ unequally_directed_lines(sK0,sK1),
    inference(cnf_transformation,[],[f72]) ).

fof(f139,plain,
    ( unequally_directed_lines(sK0,sK1)
    | ~ line(sK0)
    | ~ line(sK1) ),
    inference(resolution,[],[f132,f115]) ).

fof(f115,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f72]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X1,reverse_line(X0))
      | ~ line(X0)
      | unequally_directed_lines(X1,X0)
      | ~ line(X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X1,X0] :
      ( ~ line(X0)
      | unequally_directed_lines(X1,X0)
      | ~ line(X1)
      | unequally_directed_lines(X1,reverse_line(X0)) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X1,X0)
      | unequally_directed_lines(X1,reverse_line(X0))
      | ~ line(X0)
      | ~ line(X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( line(X0)
        & line(X1) )
     => ( unequally_directed_lines(X1,X0)
        | unequally_directed_lines(X1,reverse_line(X0)) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X1] :
      ( ( line(X2)
        & line(X1) )
     => ( unequally_directed_lines(X1,reverse_line(X2))
        | unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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
% 0.13/0.34  % 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 21:35:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (11676)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  % (11665)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.50  % (11684)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)
% 0.20/0.50  % (11668)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)
% 0.20/0.51  % (11676)First to succeed.
% 0.20/0.51  % (11667)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (11669)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)
% 0.20/0.51  % (11676)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (11676)------------------------------
% 0.20/0.51  % (11676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (11676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (11676)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (11676)Memory used [KB]: 6012
% 0.20/0.51  % (11676)Time elapsed: 0.106 s
% 0.20/0.51  % (11676)Instructions burned: 2 (million)
% 0.20/0.51  % (11676)------------------------------
% 0.20/0.51  % (11676)------------------------------
% 0.20/0.51  % (11655)Success in time 0.165 s
%------------------------------------------------------------------------------