TSTP Solution File: GEO206+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO206+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 02:22:56 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   52 (  24   ~;  18   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (  39   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,plain,
    $false,
    inference(subsumption_resolution,[],[f77,f64]) ).

fof(f64,plain,
    ! [X0] : ~ convergent_lines(sK1,parallel_through_point(sK2,X0)),
    inference(unit_resulting_resolution,[],[f49,f40,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | convergent_lines(X0,X2)
      | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.t040oA9pu6/Vampire---4.8_1435',ax6) ).

fof(f40,plain,
    ~ convergent_lines(sK1,sK2),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( distinct_lines(X1,parallel_through_point(X2,X0))
      & ~ convergent_lines(X1,X2)
      & ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( distinct_lines(X1,parallel_through_point(X2,X0))
      & ~ convergent_lines(X1,X2)
      & ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( ~ convergent_lines(X1,X2)
          & ~ apart_point_and_line(X0,X1) )
       => ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X0,X1,X2] :
      ( ( ~ convergent_lines(X1,X2)
        & ~ apart_point_and_line(X0,X1) )
     => ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.t040oA9pu6/Vampire---4.8_1435',con) ).

fof(f49,plain,
    ! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
    file('/export/starexec/sandbox/tmp/tmp.t040oA9pu6/Vampire---4.8_1435',cp1) ).

fof(f77,plain,
    convergent_lines(sK1,parallel_through_point(sK2,sK0)),
    inference(unit_resulting_resolution,[],[f39,f48,f41,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ distinct_lines(X1,X2)
      | apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,X2)
      | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X1)
      | ~ distinct_lines(X1,X2) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X1)
      | ~ distinct_lines(X1,X2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
     => ( convergent_lines(X1,X2)
        | apart_point_and_line(X0,X2)
        | apart_point_and_line(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.t040oA9pu6/Vampire---4.8_1435',cup1) ).

fof(f41,plain,
    distinct_lines(sK1,parallel_through_point(sK2,sK0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f48,plain,
    ! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
    file('/export/starexec/sandbox/tmp/tmp.t040oA9pu6/Vampire---4.8_1435',cp2) ).

fof(f39,plain,
    ~ apart_point_and_line(sK0,sK1),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO206+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 19:00:01 EDT 2024
% 0.23/0.36  % CPUTime    : 
% 0.23/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.23/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.t040oA9pu6/Vampire---4.8_1435
% 0.58/0.75  % (1689)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)
% 0.58/0.75  % (1681)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)
% 0.58/0.75  % (1683)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (1682)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)
% 0.58/0.75  % (1689)First to succeed.
% 0.58/0.75  % (1685)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)
% 0.58/0.75  % (1688)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)
% 0.58/0.75  % (1684)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)
% 0.58/0.76  % (1689)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (1689)------------------------------
% 0.58/0.76  % (1689)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (1689)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (1689)Memory used [KB]: 1061
% 0.58/0.76  % (1689)Time elapsed: 0.002 s
% 0.58/0.76  % (1689)Instructions burned: 4 (million)
% 0.58/0.76  % (1689)------------------------------
% 0.58/0.76  % (1689)------------------------------
% 0.58/0.76  % (1677)Success in time 0.383 s
% 0.58/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.58/0.76  1677 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.t040oA9pu6/Vampire---4.8_1435
% 0.58/0.76  % (1677)------------------------------
% 0.58/0.76  % (1677)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (1677)Termination reason: Unknown
% 0.58/0.76  % (1677)Termination phase: Unknown
% 0.58/0.76  
% 0.58/0.76  % (1677)Memory used [KB]: 458
% 0.58/0.76  % (1677)Time elapsed: 0.383 s
% 0.58/0.76  % (1677)Instructions burned: 954 (million)
% 0.58/0.76  % (1677)------------------------------
% 0.58/0.76  % (1677)------------------------------
% 0.58/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  ???
% 0.58/0.76   ???
% 0.58/0.76    ???
% 0.58/0.76     ???
% 0.58/0.76      ???
% 0.58/0.76       ???
% 0.58/0.76        ???
% 0.58/0.76         ???
% 0.58/0.76          ???
% 0.58/0.76           ???
% 0.58/0.76            ???
% 0.58/0.76             ???
% 0.58/0.76              ???
% 0.58/0.76               ???
% 0.58/0.76                ???
% 0.58/0.76                 ???
% 0.58/0.76                  ???
% 0.58/0.76                   ???
% 0.58/0.76                    ???
% 0.58/0.76                     ???
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------