TSTP Solution File: GEO192+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO192+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 : n031.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 02:22:50 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (   9 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  33   ~;  30   |;   6   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (  44   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f137,plain,
    $false,
    inference(avatar_sat_refutation,[],[f59,f116,f136]) ).

fof(f136,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f133,f65]) ).

fof(f65,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
    inference(unit_resulting_resolution,[],[f37,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.nOdspVITI4/Vampire---4.8_17224',ci4) ).

fof(f37,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( ( ~ distinct_lines(X1,X2)
        | ~ distinct_lines(X0,X2) )
      & apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X0,X1) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( ( ~ distinct_lines(X1,X2)
        | ~ distinct_lines(X0,X2) )
      & apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( convergent_lines(X0,X1)
       => ( apart_point_and_line(intersection_point(X0,X1),X2)
         => ( distinct_lines(X1,X2)
            & distinct_lines(X0,X2) ) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( apart_point_and_line(intersection_point(X0,X1),X2)
       => ( distinct_lines(X1,X2)
          & distinct_lines(X0,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nOdspVITI4/Vampire---4.8_17224',con) ).

fof(f133,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK1)
    | spl3_1 ),
    inference(unit_resulting_resolution,[],[f38,f117,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f24]) ).

fof(f24,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.nOdspVITI4/Vampire---4.8_17224',ceq2) ).

fof(f117,plain,
    ( ~ distinct_lines(sK2,sK1)
    | spl3_1 ),
    inference(unit_resulting_resolution,[],[f45,f54,f44]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_lines(X0,X1)
      | distinct_lines(X0,X2)
      | distinct_lines(X1,X2) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | distinct_lines(X0,X2)
      | ~ distinct_lines(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( distinct_lines(X0,X1)
     => ( distinct_lines(X1,X2)
        | distinct_lines(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nOdspVITI4/Vampire---4.8_17224',apart5) ).

fof(f54,plain,
    ( ~ distinct_lines(sK1,sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl3_1
  <=> distinct_lines(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f45,plain,
    ! [X0] : ~ distinct_lines(X0,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : ~ distinct_lines(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.nOdspVITI4/Vampire---4.8_17224',apart2) ).

fof(f38,plain,
    apart_point_and_line(intersection_point(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f19]) ).

fof(f116,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f115,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f113,f64]) ).

fof(f64,plain,
    ~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
    inference(unit_resulting_resolution,[],[f37,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.nOdspVITI4/Vampire---4.8_17224',ci3) ).

fof(f113,plain,
    ( apart_point_and_line(intersection_point(sK0,sK1),sK0)
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f38,f93,f42]) ).

fof(f93,plain,
    ( ~ distinct_lines(sK2,sK0)
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f45,f58,f44]) ).

fof(f58,plain,
    ( ~ distinct_lines(sK0,sK2)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl3_2
  <=> distinct_lines(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f59,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f36,f56,f52]) ).

fof(f36,plain,
    ( ~ distinct_lines(sK0,sK2)
    | ~ distinct_lines(sK1,sK2) ),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n031.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   : Tue Apr 30 19:31:14 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  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.nOdspVITI4/Vampire---4.8_17224
% 0.59/0.74  % (17414)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)
% 0.59/0.74  % (17408)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)
% 0.59/0.74  % (17411)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)
% 0.59/0.74  % (17410)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (17412)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)
% 0.59/0.74  % (17413)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)
% 0.59/0.74  % (17409)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)
% 0.59/0.74  % (17414)First to succeed.
% 0.59/0.74  % (17413)Refutation not found, incomplete strategy% (17413)------------------------------
% 0.59/0.74  % (17413)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (17413)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (17413)Memory used [KB]: 979
% 0.59/0.74  % (17413)Time elapsed: 0.003 s
% 0.59/0.74  % (17413)Instructions burned: 2 (million)
% 0.59/0.74  % (17413)------------------------------
% 0.59/0.74  % (17413)------------------------------
% 0.59/0.75  % (17414)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (17414)------------------------------
% 0.59/0.75  % (17414)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (17414)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (17414)Memory used [KB]: 1004
% 0.59/0.75  % (17414)Time elapsed: 0.003 s
% 0.59/0.75  % (17414)Instructions burned: 5 (million)
% 0.59/0.75  % (17414)------------------------------
% 0.59/0.75  % (17414)------------------------------
% 0.59/0.75  % (17407)Success in time 0.381 s
% 0.59/0.75  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.59/0.75  17407 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.nOdspVITI4/Vampire---4.8_17224
% 0.59/0.75  % (17407)------------------------------
% 0.59/0.75  % (17407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (17407)Termination reason: Unknown
% 0.59/0.75  % (17407)Termination phase: Unknown
% 0.59/0.75  
% 0.59/0.75  % (17407)Memory used [KB]: 449
% 0.59/0.75  % (17407)Time elapsed: 0.381 s
% 0.59/0.75  % (17407)Instructions burned: 953 (million)
% 0.59/0.75  % (17407)------------------------------
% 0.59/0.75  % (17407)------------------------------
% 0.59/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  ???
% 0.59/0.75   ???
% 0.59/0.75    ???
% 0.59/0.75     ???
% 0.59/0.75      ???
% 0.59/0.75       ???
% 0.59/0.75        ???
% 0.59/0.75         ???
% 0.59/0.75          ???
% 0.59/0.75           ???
% 0.59/0.75            ???
% 0.59/0.75             ???
% 0.59/0.75              ???
% 0.59/0.75               ???
% 0.59/0.75                ???
% 0.59/0.75                 ???
% 0.59/0.75                  ???
% 0.59/0.75                   ???
% 0.59/0.75                    ???
% 0.59/0.75                     ???
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------