TSTP Solution File: GEO233+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO233+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 05:10:42 EDT 2024

% Result   : Theorem 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  22   ~;  25   |;   3   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   49 (  48   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(subsumption_resolution,[],[f134,f137]) ).

fof(f137,plain,
    ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0))),
    inference(unit_resulting_resolution,[],[f131,f131,f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,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.YlctHdFbEL/Vampire---4.8_31245',ax6_basics) ).

fof(f131,plain,
    ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)),
    inference(unit_resulting_resolution,[],[f114,f115,f128,f116]) ).

fof(f116,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,[],[f82]) ).

fof(f82,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,[],[f81]) ).

fof(f81,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.YlctHdFbEL/Vampire---4.8_31245',ax9_basics) ).

fof(f128,plain,
    unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
    inference(unit_resulting_resolution,[],[f94,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( equally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( equally_directed_lines(X0,X1)
    <=> ~ unequally_directed_lines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.YlctHdFbEL/Vampire---4.8_31245',a4_defns) ).

fof(f94,plain,
    ~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0),
    inference(ennf_transformation,[],[f39]) ).

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

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

fof(f37,conjecture,
    ! [X3] : equally_directed_lines(reverse_line(reverse_line(X3)),X3),
    file('/export/starexec/sandbox2/tmp/tmp.YlctHdFbEL/Vampire---4.8_31245',con) ).

fof(f115,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,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.YlctHdFbEL/Vampire---4.8_31245',ax11_basics) ).

fof(f114,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f80]) ).

fof(f134,plain,
    unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0))),
    inference(unit_resulting_resolution,[],[f131,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,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.YlctHdFbEL/Vampire---4.8_31245',ax8_basics) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GEO233+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % 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
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 21:54:07 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.32  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.YlctHdFbEL/Vampire---4.8_31245
% 0.60/0.80  % (31364)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)
% 0.60/0.80  % (31363)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (31361)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)
% 0.60/0.80  % (31365)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)
% 0.60/0.80  % (31366)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)
% 0.60/0.80  % (31362)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)
% 0.60/0.80  % (31367)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)
% 0.63/0.80  % (31368)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)
% 0.63/0.80  % (31366)Refutation not found, incomplete strategy% (31366)------------------------------
% 0.63/0.80  % (31366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (31366)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (31366)Memory used [KB]: 980
% 0.63/0.80  % (31366)Time elapsed: 0.003 s
% 0.63/0.80  % (31366)Instructions burned: 2 (million)
% 0.63/0.80  % (31364)Refutation not found, incomplete strategy% (31364)------------------------------
% 0.63/0.80  % (31364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (31364)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (31364)Memory used [KB]: 967
% 0.63/0.80  % (31364)Time elapsed: 0.003 s
% 0.63/0.80  % (31364)Instructions burned: 2 (million)
% 0.63/0.80  % (31366)------------------------------
% 0.63/0.80  % (31366)------------------------------
% 0.63/0.80  % (31364)------------------------------
% 0.63/0.80  % (31364)------------------------------
% 0.63/0.80  % (31368)Refutation not found, incomplete strategy% (31368)------------------------------
% 0.63/0.80  % (31368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (31368)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (31368)Memory used [KB]: 980
% 0.63/0.80  % (31368)Time elapsed: 0.002 s
% 0.63/0.80  % (31368)Instructions burned: 2 (million)
% 0.63/0.80  % (31368)------------------------------
% 0.63/0.80  % (31368)------------------------------
% 0.63/0.80  % (31367)First to succeed.
% 0.63/0.80  % (31363)Also succeeded, but the first one will report.
% 0.63/0.80  % (31367)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31358"
% 0.63/0.80  % (31367)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Theorem for Vampire---4
% 0.63/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80  % (31367)------------------------------
% 0.63/0.80  % (31367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (31367)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (31367)Memory used [KB]: 1064
% 0.63/0.80  % (31367)Time elapsed: 0.004 s
% 0.63/0.80  % (31367)Instructions burned: 4 (million)
% 0.63/0.80  % (31358)Success in time 0.48 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------