TSTP Solution File: GEO261+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO261+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 : n006.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 : Wed May  1 02:23:20 EDT 2024

% Result   : Theorem 0.62s 0.79s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (   8 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   70 (  23   ~;  18   |;  18   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   70 (  60   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f168,plain,
    $false,
    inference(subsumption_resolution,[],[f167,f165]) ).

fof(f165,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(unit_resulting_resolution,[],[f150,f151,f160,f152]) ).

fof(f152,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,[],[f104]) ).

fof(f104,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,[],[f103]) ).

fof(f103,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,[],[f59]) ).

fof(f59,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.m6fhwXe5za/Vampire---4.8_24901',ax9_basics) ).

fof(f160,plain,
    unequally_directed_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f115,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( unequally_directed_opposite_lines(X0,X1)
        & unequally_directed_lines(X0,X1) )
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ( unequally_directed_opposite_lines(X0,X1)
        & unequally_directed_lines(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
    <=> ( unequally_directed_opposite_lines(X0,X1)
        & unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( convergent_lines(X3,X4)
    <=> ( unequally_directed_opposite_lines(X3,X4)
        & unequally_directed_lines(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.m6fhwXe5za/Vampire---4.8_24901',a7_defns) ).

fof(f115,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ divides_points(X1,X2,X4)
      & convergent_lines(X0,X1)
      & between_on_line(X0,X2,X3,X4) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ divides_points(X1,X2,X4)
      & convergent_lines(X0,X1)
      & between_on_line(X0,X2,X3,X4) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( convergent_lines(X0,X1)
          & between_on_line(X0,X2,X3,X4) )
       => divides_points(X1,X2,X4) ),
    inference(pure_predicate_removal,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( incident_point_and_line(X3,X1)
          & convergent_lines(X0,X1)
          & between_on_line(X0,X2,X3,X4) )
       => divides_points(X1,X2,X4) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X3,X4,X2,X5,X6] :
        ( ( incident_point_and_line(X5,X4)
          & convergent_lines(X3,X4)
          & between_on_line(X3,X2,X5,X6) )
       => divides_points(X4,X2,X6) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X3,X4,X2,X5,X6] :
      ( ( incident_point_and_line(X5,X4)
        & convergent_lines(X3,X4)
        & between_on_line(X3,X2,X5,X6) )
     => divides_points(X4,X2,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.m6fhwXe5za/Vampire---4.8_24901',con) ).

fof(f151,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,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.m6fhwXe5za/Vampire---4.8_24901',ax11_basics) ).

fof(f150,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f102]) ).

fof(f167,plain,
    unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(unit_resulting_resolution,[],[f161,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_opposite_lines(X0,X1) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,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/sandbox2/tmp/tmp.m6fhwXe5za/Vampire---4.8_24901',a1_defns) ).

fof(f161,plain,
    unequally_directed_opposite_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f115,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GEO261+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11  % 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 : n006.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   : Tue Apr 30 18:54:35 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_NEQ problem
% 0.10/0.31  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.m6fhwXe5za/Vampire---4.8_24901
% 0.62/0.79  % (25016)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)
% 0.62/0.79  % (25017)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)
% 0.62/0.79  % (25018)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)
% 0.62/0.79  % (25014)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)
% 0.62/0.79  % (25019)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)
% 0.62/0.79  % (25020)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)
% 0.62/0.79  % (25013)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)
% 0.62/0.79  % (25016)Refutation not found, incomplete strategy% (25016)------------------------------
% 0.62/0.79  % (25016)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (25016)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  % (25015)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79  
% 0.62/0.79  % (25016)Memory used [KB]: 961
% 0.62/0.79  % (25016)Time elapsed: 0.002 s
% 0.62/0.79  % (25016)Instructions burned: 2 (million)
% 0.62/0.79  % (25016)------------------------------
% 0.62/0.79  % (25016)------------------------------
% 0.62/0.79  % (25013)Refutation not found, incomplete strategy% (25013)------------------------------
% 0.62/0.79  % (25013)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (25013)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (25013)Memory used [KB]: 961
% 0.62/0.79  % (25013)Time elapsed: 0.002 s
% 0.62/0.79  % (25013)Instructions burned: 2 (million)
% 0.62/0.79  % (25013)------------------------------
% 0.62/0.79  % (25013)------------------------------
% 0.62/0.79  % (25020)Refutation not found, incomplete strategy% (25020)------------------------------
% 0.62/0.79  % (25020)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (25018)Refutation not found, incomplete strategy% (25018)------------------------------
% 0.62/0.79  % (25018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (25018)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (25018)Memory used [KB]: 1059
% 0.62/0.79  % (25018)Time elapsed: 0.003 s
% 0.62/0.79  % (25018)Instructions burned: 3 (million)
% 0.62/0.79  % (25018)------------------------------
% 0.62/0.79  % (25018)------------------------------
% 0.62/0.79  % (25020)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (25020)Memory used [KB]: 1057
% 0.62/0.79  % (25020)Time elapsed: 0.003 s
% 0.62/0.79  % (25020)Instructions burned: 3 (million)
% 0.62/0.79  % (25020)------------------------------
% 0.62/0.79  % (25020)------------------------------
% 0.62/0.79  % (25019)First to succeed.
% 0.62/0.79  % (25015)Also succeeded, but the first one will report.
% 0.62/0.79  % (25019)Refutation found. Thanks to Tanya!
% 0.62/0.79  % SZS status Theorem for Vampire---4
% 0.62/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79  % (25019)------------------------------
% 0.62/0.79  % (25019)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (25019)Termination reason: Refutation
% 0.62/0.79  
% 0.62/0.79  % (25019)Memory used [KB]: 1068
% 0.62/0.79  % (25019)Time elapsed: 0.004 s
% 0.62/0.79  % (25019)Instructions burned: 5 (million)
% 0.62/0.79  % (25019)------------------------------
% 0.62/0.79  % (25019)------------------------------
% 0.62/0.79  % (25009)Success in time 0.48 s
% 0.62/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------