TSTP Solution File: GEO177+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO177+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n032.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 02:22:43 EDT 2024

% Result   : Theorem 0.39s 0.59s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  12 unt;   0 def)
%            Number of atoms       :  116 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  114 (  40   ~;  48   |;  13   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   64 (  56   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(avatar_sat_refutation,[],[f62,f132,f141]) ).

fof(f141,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f140]) ).

fof(f140,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f133,f121]) ).

fof(f121,plain,
    ~ distinct_lines(line_connecting(sK2,sK3),line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f41,f40,f39,f70,f71,f45]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1)
      | apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X3,X4] :
      ( ( distinct_lines(X3,X4)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X3)
        | apart_point_and_line(X0,X4)
        | apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6zK7OjFf3Y/Vampire---4.8_12063',cu1) ).

fof(f71,plain,
    ~ apart_point_and_line(sK3,line_connecting(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f39,f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.6zK7OjFf3Y/Vampire---4.8_12063',ci2) ).

fof(f70,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK2,sK3)),
    inference(unit_resulting_resolution,[],[f39,f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.6zK7OjFf3Y/Vampire---4.8_12063',ci1) ).

fof(f39,plain,
    distinct_points(sK2,sK3),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ? [X0,X1,X2,X3] :
      ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
      & ~ apart_point_and_line(X2,line_connecting(X0,X1))
      & ( apart_point_and_line(X1,line_connecting(X2,X3))
        | apart_point_and_line(X0,line_connecting(X2,X3)) )
      & distinct_points(X2,X3)
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2,X3] :
      ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
      & ~ apart_point_and_line(X2,line_connecting(X0,X1))
      & ( apart_point_and_line(X1,line_connecting(X2,X3))
        | apart_point_and_line(X0,line_connecting(X2,X3)) )
      & distinct_points(X2,X3)
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( distinct_points(X2,X3)
          & distinct_points(X0,X1) )
       => ( ( apart_point_and_line(X1,line_connecting(X2,X3))
            | apart_point_and_line(X0,line_connecting(X2,X3)) )
         => ( apart_point_and_line(X3,line_connecting(X0,X1))
            | apart_point_and_line(X2,line_connecting(X0,X1)) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X1,X3,X4] :
        ( ( distinct_points(X3,X4)
          & distinct_points(X0,X1) )
       => ( ( apart_point_and_line(X1,line_connecting(X3,X4))
            | apart_point_and_line(X0,line_connecting(X3,X4)) )
         => ( apart_point_and_line(X4,line_connecting(X0,X1))
            | apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0,X1,X3,X4] :
      ( ( distinct_points(X3,X4)
        & distinct_points(X0,X1) )
     => ( ( apart_point_and_line(X1,line_connecting(X3,X4))
          | apart_point_and_line(X0,line_connecting(X3,X4)) )
       => ( apart_point_and_line(X4,line_connecting(X0,X1))
          | apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6zK7OjFf3Y/Vampire---4.8_12063',con) ).

fof(f40,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f41,plain,
    ~ apart_point_and_line(sK3,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f133,plain,
    ( distinct_lines(line_connecting(sK2,sK3),line_connecting(sK0,sK1))
    | ~ spl4_1 ),
    inference(unit_resulting_resolution,[],[f66,f57,f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6zK7OjFf3Y/Vampire---4.8_12063',ceq2) ).

fof(f57,plain,
    ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl4_1
  <=> apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f66,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f38,f42]) ).

fof(f38,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f20]) ).

fof(f132,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f131]) ).

fof(f131,plain,
    ( $false
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f121,f94]) ).

fof(f94,plain,
    ( distinct_lines(line_connecting(sK2,sK3),line_connecting(sK0,sK1))
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f61,f65,f49]) ).

fof(f65,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f38,f43]) ).

fof(f61,plain,
    ( apart_point_and_line(sK0,line_connecting(sK2,sK3))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl4_2
  <=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f62,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f37,f59,f55]) ).

fof(f37,plain,
    ( apart_point_and_line(sK0,line_connecting(sK2,sK3))
    | apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : GEO177+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.10  % 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
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Tue Apr 30 19:02:06 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a FOF_THM_RFO_NEQ problem
% 0.09/0.29  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.6zK7OjFf3Y/Vampire---4.8_12063
% 0.39/0.59  % (12290)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 (2997ds/83Mi)
% 0.39/0.59  % (12283)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 (2997ds/34Mi)
% 0.39/0.59  % (12291)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 (2997ds/56Mi)
% 0.39/0.59  % (12286)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.39/0.59  % (12287)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.39/0.59  % (12284)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 (2997ds/51Mi)
% 0.39/0.59  % (12291)Refutation not found, incomplete strategy% (12291)------------------------------
% 0.39/0.59  % (12291)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.39/0.59  % (12291)Termination reason: Refutation not found, incomplete strategy
% 0.39/0.59  
% 0.39/0.59  % (12291)Memory used [KB]: 976
% 0.39/0.59  % (12291)Time elapsed: 0.002 s
% 0.39/0.59  % (12291)Instructions burned: 2 (million)
% 0.39/0.59  % (12291)------------------------------
% 0.39/0.59  % (12291)------------------------------
% 0.39/0.59  % (12289)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.39/0.59  % (12290)First to succeed.
% 0.39/0.59  % (12290)Refutation found. Thanks to Tanya!
% 0.39/0.59  % SZS status Theorem for Vampire---4
% 0.39/0.59  % SZS output start Proof for Vampire---4
% See solution above
% 0.39/0.59  % (12290)------------------------------
% 0.39/0.59  % (12290)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.39/0.59  % (12290)Termination reason: Refutation
% 0.39/0.59  
% 0.39/0.59  % (12290)Memory used [KB]: 1067
% 0.39/0.59  % (12290)Time elapsed: 0.006 s
% 0.39/0.59  % (12290)Instructions burned: 6 (million)
% 0.39/0.59  % (12290)------------------------------
% 0.39/0.59  % (12290)------------------------------
% 0.39/0.59  % (12273)Success in time 0.3 s
% 0.39/0.59  % Vampire---4.8 exiting
% 0.39/0.59  % Exception at proof search level
% 0.39/0.59  System fail: Cannot decrease semaphore. error 22: Invalid argument
%------------------------------------------------------------------------------