TSTP Solution File: GEO269+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 05:10:53 EDT 2024

% Result   : Theorem 0.66s 0.88s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  16 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   73 (  35   ~;  26   |;   3   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   65 (  63   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f179,plain,
    $false,
    inference(subsumption_resolution,[],[f178,f159]) ).

fof(f159,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(resolution,[],[f154,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ equally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,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/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',a4_defns) ).

fof(f154,plain,
    ! [X0] : equally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] : equally_directed_lines(X0,X0),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : equally_directed_lines(X3,X3),
    file('/export/starexec/sandbox/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',ax5_basics) ).

fof(f178,plain,
    unequally_directed_lines(sK0,sK0),
    inference(resolution,[],[f176,f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,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/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',ax8_basics) ).

fof(f176,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK0)),
    inference(resolution,[],[f175,f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(subsumption_resolution,[],[f157,f126]) ).

fof(f126,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X3,X4] :
      ~ ( left_convergent_lines(X3,reverse_line(X4))
        | left_convergent_lines(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',ax11_basics) ).

fof(f157,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(subsumption_resolution,[],[f130,f127]) ).

fof(f127,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f87]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3,X4] :
      ( ( unequally_directed_lines(X3,reverse_line(X4))
        & unequally_directed_lines(X3,X4) )
     => ( left_convergent_lines(X3,reverse_line(X4))
        | left_convergent_lines(X3,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',ax9_basics) ).

fof(f175,plain,
    unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))),
    inference(resolution,[],[f166,f117]) ).

fof(f117,plain,
    ~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f76,f115]) ).

fof(f115,plain,
    ( ? [X0] : ~ equally_directed_opposite_lines(X0,reverse_line(X0))
   => ~ equally_directed_opposite_lines(sK0,reverse_line(sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ? [X0] : ~ equally_directed_opposite_lines(X0,reverse_line(X0)),
    inference(ennf_transformation,[],[f39]) ).

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

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

fof(f37,conjecture,
    ! [X3] : equally_directed_opposite_lines(X3,reverse_line(X3)),
    file('/export/starexec/sandbox/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',con) ).

fof(f166,plain,
    ! [X0,X1] :
      ( equally_directed_opposite_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(resolution,[],[f137,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
      | equally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( equally_directed_opposite_lines(X0,X1)
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_opposite_lines(X0,X1)
     => equally_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/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',a5_defns) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_opposite_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_opposite_lines(X0,X1) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
     => unequally_directed_lines(X0,reverse_line(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/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890',a1_defns) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.37  % Computer : n005.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Fri May  3 21:55:08 EDT 2024
% 0.13/0.37  % CPUTime    : 
% 0.13/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.kPTC5ldYYt/Vampire---4.8_1890
% 0.66/0.87  % (2003)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.66/0.87  % (2002)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.87  % (2001)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.66/0.87  % (2004)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.66/0.87  % (2006)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.66/0.87  % (2005)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.66/0.87  % (2007)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.66/0.87  % (2007)Refutation not found, incomplete strategy% (2007)------------------------------
% 0.66/0.87  % (2007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2003)Refutation not found, incomplete strategy% (2003)------------------------------
% 0.66/0.87  % (2003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2003)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2003)Memory used [KB]: 959
% 0.66/0.87  % (2003)Time elapsed: 0.002 s
% 0.66/0.87  % (2003)Instructions burned: 2 (million)
% 0.66/0.87  % (2007)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2007)Memory used [KB]: 960
% 0.66/0.87  % (2007)Time elapsed: 0.002 s
% 0.66/0.87  % (2007)Instructions burned: 2 (million)
% 0.66/0.87  % (2003)------------------------------
% 0.66/0.87  % (2003)------------------------------
% 0.66/0.87  % (2005)Refutation not found, incomplete strategy% (2005)------------------------------
% 0.66/0.87  % (2005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2007)------------------------------
% 0.66/0.87  % (2007)------------------------------
% 0.66/0.87  % (2005)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2005)Memory used [KB]: 968
% 0.66/0.87  % (2000)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.66/0.87  % (2005)Time elapsed: 0.002 s
% 0.66/0.87  % (2005)Instructions burned: 2 (million)
% 0.66/0.87  % (2002)Refutation not found, incomplete strategy% (2002)------------------------------
% 0.66/0.87  % (2002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2002)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2002)Memory used [KB]: 1046
% 0.66/0.87  % (2002)Time elapsed: 0.003 s
% 0.66/0.87  % (2002)Instructions burned: 2 (million)
% 0.66/0.87  % (2005)------------------------------
% 0.66/0.87  % (2005)------------------------------
% 0.66/0.87  % (2004)Refutation not found, incomplete strategy% (2004)------------------------------
% 0.66/0.87  % (2004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2004)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2004)Memory used [KB]: 1045
% 0.66/0.87  % (2004)Time elapsed: 0.003 s
% 0.66/0.87  % (2004)Instructions burned: 3 (million)
% 0.66/0.87  % (2004)------------------------------
% 0.66/0.87  % (2004)------------------------------
% 0.66/0.87  % (2002)------------------------------
% 0.66/0.87  % (2002)------------------------------
% 0.66/0.87  % (2008)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.66/0.87  % (2009)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.66/0.87  % (2008)Refutation not found, incomplete strategy% (2008)------------------------------
% 0.66/0.87  % (2008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2008)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2008)Memory used [KB]: 959
% 0.66/0.87  % (2008)Time elapsed: 0.002 s
% 0.66/0.87  % (2008)Instructions burned: 2 (million)
% 0.66/0.87  % (2011)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.66/0.87  % (2012)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.66/0.87  % (2008)------------------------------
% 0.66/0.87  % (2008)------------------------------
% 0.66/0.87  % (2012)Refutation not found, incomplete strategy% (2012)------------------------------
% 0.66/0.87  % (2012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2012)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2012)Memory used [KB]: 1044
% 0.66/0.87  % (2012)Time elapsed: 0.003 s
% 0.66/0.87  % (2012)Instructions burned: 3 (million)
% 0.66/0.87  % (2012)------------------------------
% 0.66/0.87  % (2012)------------------------------
% 0.66/0.87  % (2010)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.66/0.87  % (2011)First to succeed.
% 0.66/0.87  % (2011)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1999"
% 0.66/0.87  % (2010)Refutation not found, incomplete strategy% (2010)------------------------------
% 0.66/0.87  % (2010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87  % (2010)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.87  
% 0.66/0.87  % (2010)Memory used [KB]: 980
% 0.66/0.87  % (2010)Time elapsed: 0.002 s
% 0.66/0.87  % (2010)Instructions burned: 2 (million)
% 0.66/0.88  % (2010)------------------------------
% 0.66/0.88  % (2010)------------------------------
% 0.66/0.88  % (2011)Refutation found. Thanks to Tanya!
% 0.66/0.88  % SZS status Theorem for Vampire---4
% 0.66/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.88  % (2011)------------------------------
% 0.66/0.88  % (2011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.88  % (2011)Termination reason: Refutation
% 0.66/0.88  
% 0.66/0.88  % (2011)Memory used [KB]: 1071
% 0.66/0.88  % (2011)Time elapsed: 0.004 s
% 0.66/0.88  % (2011)Instructions burned: 5 (million)
% 0.66/0.88  % (1999)Success in time 0.509 s
% 0.66/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------