TSTP Solution File: GEO227+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.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 : Sun May  5 05:16:16 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   74 (  31   ~;  14   |;  23   &)
%                                         (   0 <=>;   6  =>;   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   :   23 (  17   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(subsumption_resolution,[],[f147,f102]) ).

fof(f102,plain,
    ~ unequally_directed_lines(sK0,sK1),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
    & ~ unequally_directed_lines(sK0,sK1)
    & line(sK1)
    & line(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f62,f98]) ).

fof(f98,plain,
    ( ? [X0,X1] :
        ( ~ unequally_directed_lines(X0,reverse_line(X1))
        & ~ unequally_directed_lines(X0,X1)
        & line(X1)
        & line(X0) )
   => ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
      & ~ unequally_directed_lines(sK0,sK1)
      & line(sK1)
      & line(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ? [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      & ~ unequally_directed_lines(X0,X1)
      & line(X1)
      & line(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ? [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      & ~ unequally_directed_lines(X0,X1)
      & line(X1)
      & line(X0) ),
    inference(ennf_transformation,[],[f34]) ).

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

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

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

fof(f147,plain,
    unequally_directed_lines(sK0,sK1),
    inference(subsumption_resolution,[],[f144,f101]) ).

fof(f101,plain,
    line(sK1),
    inference(cnf_transformation,[],[f99]) ).

fof(f144,plain,
    ( ~ line(sK1)
    | unequally_directed_lines(sK0,sK1) ),
    inference(resolution,[],[f142,f103]) ).

fof(f103,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f99]) ).

fof(f142,plain,
    ! [X0] :
      ( unequally_directed_lines(sK0,reverse_line(X0))
      | ~ line(X0)
      | unequally_directed_lines(sK0,X0) ),
    inference(resolution,[],[f117,f100]) ).

fof(f100,plain,
    line(sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ line(X0)
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f72]) ).

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

fof(f71,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( line(X1)
        & line(X0) )
     => ( unequally_directed_lines(X0,reverse_line(X1))
        | unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( 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
% 0.00/0.11  % Problem    : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n010.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   : Fri May  3 22:07:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (1071)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (1075)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  TRYING [1,1]
% 0.13/0.36  TRYING [2,1]
% 0.13/0.36  TRYING [3,1]
% 0.13/0.36  TRYING [4,1]
% 0.13/0.36  TRYING [5,1]
% 0.13/0.36  % (1072)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (1074)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)
% 0.13/0.36  % (1073)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (1076)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (1077)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (1078)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  Cannot enumerate next child to try in an incomplete setup
% 0.13/0.36  % (1075)Refutation not found, incomplete strategy% (1075)------------------------------
% 0.13/0.36  % (1075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (1075)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36  
% 0.13/0.36  % (1075)Memory used [KB]: 1026
% 0.13/0.36  % (1075)Time elapsed: 0.010 s
% 0.13/0.36  % (1075)Instructions burned: 33 (million)
% 0.13/0.36  TRYING [1]
% 0.13/0.36  % (1075)------------------------------
% 0.13/0.36  % (1075)------------------------------
% 0.13/0.36  % (1077)First to succeed.
% 0.13/0.37  TRYING [2]
% 0.13/0.37  % (1077)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1071"
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  % (1074)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [3]
% 0.13/0.37  % (1077)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (1077)------------------------------
% 0.13/0.37  % (1077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (1077)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (1077)Memory used [KB]: 846
% 0.13/0.37  % (1077)Time elapsed: 0.004 s
% 0.13/0.37  % (1077)Instructions burned: 4 (million)
% 0.13/0.37  % (1071)Success in time 0.021 s
%------------------------------------------------------------------------------