TSTP Solution File: GEO227+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO227+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 : Mon May 20 20:15:27 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (   6 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  21   ~;  10   |;   7   &)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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   :   42 (  38   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f172,plain,
    $false,
    inference(resolution,[],[f167,f159]) ).

fof(f159,plain,
    ~ unequally_directed_opposite_lines(sK0,sK1),
    inference(resolution,[],[f140,f118]) ).

fof(f118,plain,
    equally_directed_opposite_lines(sK0,sK1),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( equally_directed_opposite_lines(sK0,sK1)
    & equally_directed_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f115]) ).

fof(f115,plain,
    ( ? [X0,X1] :
        ( equally_directed_opposite_lines(X0,X1)
        & equally_directed_lines(X0,X1) )
   => ( equally_directed_opposite_lines(sK0,sK1)
      & equally_directed_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ? [X0,X1] :
      ( equally_directed_opposite_lines(X0,X1)
      & equally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0,X1] :
        ~ ( equally_directed_opposite_lines(X0,X1)
          & equally_directed_lines(X0,X1) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X3,X4] :
        ~ ( equally_directed_opposite_lines(X3,X4)
          & equally_directed_lines(X3,X4) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X3,X4] :
      ~ ( equally_directed_opposite_lines(X3,X4)
        & equally_directed_lines(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ equally_directed_opposite_lines(X0,X1)
      | ~ unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_opposite_lines(X0,X1)
      | ~ equally_directed_opposite_lines(X0,X1) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( equally_directed_opposite_lines(X0,X1)
     => ~ unequally_directed_opposite_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( equally_directed_opposite_lines(X0,X1)
    <=> ~ unequally_directed_opposite_lines(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_defns) ).

fof(f167,plain,
    unequally_directed_opposite_lines(sK0,sK1),
    inference(resolution,[],[f164,f160]) ).

fof(f160,plain,
    ~ unequally_directed_lines(sK0,sK1),
    inference(resolution,[],[f141,f117]) ).

fof(f117,plain,
    equally_directed_lines(sK0,sK1),
    inference(cnf_transformation,[],[f116]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ equally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ equally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( equally_directed_lines(X0,X1)
     => ~ unequally_directed_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( equally_directed_lines(X0,X1)
    <=> ~ unequally_directed_lines(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_defns) ).

fof(f164,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(resolution,[],[f136,f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X4] :
      ( unequally_directed_lines(X3,reverse_line(X4))
      | unequally_directed_lines(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
     => unequally_directed_opposite_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
    <=> unequally_directed_lines(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO227+3 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n021.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   : Sun May 19 15:00:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (30853)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (30856)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39  % (30856)First to succeed.
% 0.14/0.39  % (30856)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30853"
% 0.14/0.39  % (30854)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  % (30855)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39  % (30857)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39  % (30858)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39  % (30859)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39  % (30856)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (30856)------------------------------
% 0.14/0.39  % (30856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39  % (30856)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (30856)Memory used [KB]: 843
% 0.14/0.39  % (30856)Time elapsed: 0.007 s
% 0.14/0.39  % (30856)Instructions burned: 6 (million)
% 0.14/0.39  % (30853)Success in time 0.032 s
%------------------------------------------------------------------------------