TSTP Solution File: GEO231+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO231+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/sandbox2/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 05:10:41 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   45 (  14 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (  35   ~;  30   |;  10   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   76 (  70   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f172,plain,
    $false,
    inference(subsumption_resolution,[],[f170,f148]) ).

fof(f148,plain,
    unequally_directed_lines(sK1,reverse_line(sK2)),
    inference(unit_resulting_resolution,[],[f140,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
    <=> unequally_directed_lines(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',a1_defns) ).

fof(f140,plain,
    unequally_directed_opposite_lines(sK1,sK2),
    inference(unit_resulting_resolution,[],[f99,f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( equally_directed_opposite_lines(X0,X1)
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( equally_directed_opposite_lines(X0,X1)
    <=> ~ unequally_directed_opposite_lines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',a5_defns) ).

fof(f99,plain,
    ~ equally_directed_opposite_lines(sK1,sK2),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ? [X0,X1,X2] :
      ( ~ equally_directed_opposite_lines(X1,X2)
      & equally_directed_lines(X0,X2)
      & equally_directed_opposite_lines(X0,X1) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ? [X0,X1,X2] :
      ( ~ equally_directed_opposite_lines(X1,X2)
      & equally_directed_lines(X0,X2)
      & equally_directed_opposite_lines(X0,X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0,X1,X2] :
        ( ( equally_directed_lines(X0,X2)
          & equally_directed_opposite_lines(X0,X1) )
       => equally_directed_opposite_lines(X1,X2) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X3,X4,X7] :
        ( ( equally_directed_lines(X3,X7)
          & equally_directed_opposite_lines(X3,X4) )
       => equally_directed_opposite_lines(X4,X7) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X3,X4,X7] :
      ( ( equally_directed_lines(X3,X7)
        & equally_directed_opposite_lines(X3,X4) )
     => equally_directed_opposite_lines(X4,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',con) ).

fof(f170,plain,
    ~ unequally_directed_lines(sK1,reverse_line(sK2)),
    inference(unit_resulting_resolution,[],[f122,f123,f164,f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,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,[],[f84]) ).

fof(f84,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,[],[f53]) ).

fof(f53,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/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',ax9_basics) ).

fof(f164,plain,
    unequally_directed_lines(sK1,sK2),
    inference(unit_resulting_resolution,[],[f138,f155,f116]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3,X4,X7] :
      ( unequally_directed_lines(X3,X4)
     => ( unequally_directed_lines(X4,X7)
        | unequally_directed_lines(X3,X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',ax6_basics) ).

fof(f155,plain,
    unequally_directed_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f142,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,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/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',ax8_basics) ).

fof(f142,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(unit_resulting_resolution,[],[f136,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f136,plain,
    ~ unequally_directed_opposite_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f97,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ equally_directed_opposite_lines(X0,X1)
      | ~ unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    equally_directed_opposite_lines(sK0,sK1),
    inference(cnf_transformation,[],[f66]) ).

fof(f138,plain,
    ~ unequally_directed_lines(sK0,sK2),
    inference(unit_resulting_resolution,[],[f98,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ equally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | ~ equally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,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/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',a4_defns) ).

fof(f98,plain,
    equally_directed_lines(sK0,sK2),
    inference(cnf_transformation,[],[f66]) ).

fof(f123,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,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/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280',ax11_basics) ).

fof(f122,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO231+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n005.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   : Fri May  3 21:53:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.4RqCiI9WHn/Vampire---4.8_28280
% 0.51/0.73  % (28487)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 (2996ds/34Mi)
% 0.51/0.73  % (28490)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 (2996ds/56Mi)
% 0.51/0.73  % (28490)Refutation not found, incomplete strategy% (28490)------------------------------
% 0.51/0.73  % (28490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73  % (28490)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73  
% 0.51/0.73  % (28483)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 (2996ds/34Mi)
% 0.51/0.73  % (28490)Memory used [KB]: 1049
% 0.51/0.73  % (28490)Time elapsed: 0.002 s
% 0.51/0.73  % (28490)Instructions burned: 3 (million)
% 0.51/0.73  % (28485)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.73  % (28486)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.51/0.73  % (28490)------------------------------
% 0.51/0.73  % (28490)------------------------------
% 0.51/0.73  % (28484)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 (2996ds/51Mi)
% 0.51/0.73  % (28488)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.51/0.73  % (28489)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 (2996ds/83Mi)
% 0.51/0.73  % (28483)Refutation not found, incomplete strategy% (28483)------------------------------
% 0.51/0.73  % (28483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73  % (28483)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73  
% 0.51/0.73  % (28483)Memory used [KB]: 983
% 0.51/0.73  % (28483)Time elapsed: 0.003 s
% 0.51/0.73  % (28483)Instructions burned: 2 (million)
% 0.51/0.73  % (28486)Refutation not found, incomplete strategy% (28486)------------------------------
% 0.51/0.73  % (28486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73  % (28486)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73  
% 0.51/0.73  % (28486)Memory used [KB]: 968
% 0.51/0.73  % (28486)Time elapsed: 0.003 s
% 0.51/0.73  % (28486)Instructions burned: 2 (million)
% 0.51/0.73  % (28488)Refutation not found, incomplete strategy% (28488)------------------------------
% 0.51/0.73  % (28488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73  % (28488)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73  
% 0.51/0.73  % (28488)Memory used [KB]: 1048
% 0.51/0.73  % (28483)------------------------------
% 0.51/0.73  % (28483)------------------------------
% 0.51/0.73  % (28488)Time elapsed: 0.003 s
% 0.51/0.73  % (28488)Instructions burned: 2 (million)
% 0.51/0.73  % (28486)------------------------------
% 0.51/0.73  % (28486)------------------------------
% 0.51/0.73  % (28488)------------------------------
% 0.51/0.73  % (28488)------------------------------
% 0.51/0.73  % (28493)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 (2996ds/55Mi)
% 0.58/0.74  % (28493)Refutation not found, incomplete strategy% (28493)------------------------------
% 0.58/0.74  % (28493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (28493)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  % (28489)First to succeed.
% 0.58/0.74  
% 0.58/0.74  % (28493)Memory used [KB]: 982
% 0.58/0.74  % (28493)Time elapsed: 0.001 s
% 0.58/0.74  % (28493)Instructions burned: 2 (million)
% 0.58/0.74  % (28493)------------------------------
% 0.58/0.74  % (28493)------------------------------
% 0.58/0.74  % (28489)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28439"
% 0.58/0.74  % (28489)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for Vampire---4
% 0.58/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74  % (28489)------------------------------
% 0.58/0.74  % (28489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (28489)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (28489)Memory used [KB]: 1066
% 0.58/0.74  % (28489)Time elapsed: 0.005 s
% 0.58/0.74  % (28489)Instructions burned: 6 (million)
% 0.58/0.74  % (28439)Success in time 0.38 s
% 0.58/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------