TSTP Solution File: GEO190+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO190+3 : TPTP v8.2.0. 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 : n023.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 : Mon May 20 20:09:15 EDT 2024

% Result   : Theorem 0.47s 0.72s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   41 (  15 unt;   0 def)
%            Number of atoms       :  107 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  103 (  37   ~;  41   |;  16   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   76 (  70   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f276,plain,
    $false,
    inference(subsumption_resolution,[],[f269,f242]) ).

fof(f242,plain,
    distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f161,f163,f110]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f73]) ).

fof(f73,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/benchmark/theBenchmark.p',ceq2) ).

fof(f163,plain,
    apart_point_and_line(sK2,line_connecting(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f95,f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( incident_point_and_line(X0,X1)
      | apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( incident_point_and_line(X0,X1)
    <=> ~ apart_point_and_line(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).

fof(f95,plain,
    ~ incident_point_and_line(sK2,line_connecting(sK1,sK0)),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ? [X0,X1,X2] :
      ( ~ incident_point_and_line(X2,line_connecting(X1,X0))
      & incident_point_and_line(X2,line_connecting(X0,X1))
      & distinct_points(X1,X2)
      & distinct_points(X0,X2)
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ? [X0,X1,X2] :
      ( ~ incident_point_and_line(X2,line_connecting(X1,X0))
      & incident_point_and_line(X2,line_connecting(X0,X1))
      & distinct_points(X1,X2)
      & distinct_points(X0,X2)
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( incident_point_and_line(X2,line_connecting(X0,X1))
          & distinct_points(X1,X2)
          & distinct_points(X0,X2)
          & distinct_points(X0,X1) )
       => incident_point_and_line(X2,line_connecting(X1,X0)) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X0,X1,X2] :
      ( ( incident_point_and_line(X2,line_connecting(X0,X1))
        & distinct_points(X1,X2)
        & distinct_points(X0,X2)
        & distinct_points(X0,X1) )
     => incident_point_and_line(X2,line_connecting(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f161,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f94,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ incident_point_and_line(X0,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f94,plain,
    incident_point_and_line(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f52]) ).

fof(f269,plain,
    ~ distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f138,f139,f137,f153,f154,f100]) ).

fof(f100,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,[],[f60]) ).

fof(f60,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,[],[f59]) ).

fof(f59,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,[],[f39]) ).

fof(f39,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/benchmark/theBenchmark.p',cu1) ).

fof(f154,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f137,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,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/benchmark/theBenchmark.p',ci2) ).

fof(f153,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f137,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,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/benchmark/theBenchmark.p',ci1) ).

fof(f137,plain,
    distinct_points(sK1,sK0),
    inference(unit_resulting_resolution,[],[f102,f91,f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_points(X0,X1)
      | distinct_points(X0,X2)
      | distinct_points(X1,X2) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( distinct_points(X1,X2)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).

fof(f91,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f52]) ).

fof(f102,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).

fof(f139,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f91,f97]) ).

fof(f138,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f91,f98]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO190+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % 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
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 13:53:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.47/0.72  % (10739)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 theBenchmark for (2996ds/83Mi)
% 0.47/0.72  % (10733)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 theBenchmark for (2996ds/34Mi)
% 0.47/0.72  % (10735)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.72  % (10734)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 theBenchmark for (2996ds/51Mi)
% 0.47/0.72  % (10737)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 theBenchmark for (2996ds/34Mi)
% 0.47/0.72  % (10738)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.47/0.72  % (10736)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.47/0.72  % (10739)First to succeed.
% 0.47/0.72  % (10739)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10732"
% 0.47/0.72  % (10736)Refutation not found, incomplete strategy% (10736)------------------------------
% 0.47/0.72  % (10736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.72  % (10736)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.72  
% 0.47/0.72  % (10736)Memory used [KB]: 1158
% 0.47/0.72  % (10736)Time elapsed: 0.004 s
% 0.47/0.72  % (10736)Instructions burned: 4 (million)
% 0.47/0.72  % (10735)Also succeeded, but the first one will report.
% 0.47/0.72  % (10736)------------------------------
% 0.47/0.72  % (10736)------------------------------
% 0.47/0.72  % (10739)Refutation found. Thanks to Tanya!
% 0.47/0.72  % SZS status Theorem for theBenchmark
% 0.47/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.72  % (10739)------------------------------
% 0.47/0.72  % (10739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.72  % (10739)Termination reason: Refutation
% 0.47/0.72  
% 0.47/0.72  % (10739)Memory used [KB]: 1198
% 0.47/0.72  % (10739)Time elapsed: 0.004 s
% 0.47/0.72  % (10739)Instructions burned: 11 (million)
% 0.47/0.72  % (10732)Success in time 0.37 s
% 0.47/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------