TSTP Solution File: GEO217+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO217+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 02:23:03 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  17   ~;   9   |;   7   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (  29   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f76,plain,
    $false,
    inference(subsumption_resolution,[],[f74,f61]) ).

fof(f61,plain,
    ~ convergent_lines(sK2,sK0),
    inference(unit_resulting_resolution,[],[f49,f52,f48]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | convergent_lines(X0,X2)
      | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f41]) ).

fof(f41,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.Yku8ck3bSN/Vampire---4.8_3327',ax6) ).

fof(f52,plain,
    ~ convergent_lines(sK0,sK2),
    inference(unit_resulting_resolution,[],[f44,f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ parallel_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( parallel_lines(X0,X1)
    <=> ~ convergent_lines(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Yku8ck3bSN/Vampire---4.8_3327',a3) ).

fof(f44,plain,
    parallel_lines(sK0,sK2),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ? [X0,X1,X2] :
      ( ~ parallel_lines(X1,X2)
      & parallel_lines(X0,X2)
      & parallel_lines(X0,X1) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ? [X0,X1,X2] :
      ( ~ parallel_lines(X1,X2)
      & parallel_lines(X0,X2)
      & parallel_lines(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ! [X0,X1,X2] :
        ( ( parallel_lines(X0,X2)
          & parallel_lines(X0,X1) )
       => parallel_lines(X1,X2) ),
    inference(rectify,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X5,X6,X7] :
        ( ( parallel_lines(X5,X7)
          & parallel_lines(X5,X6) )
       => parallel_lines(X6,X7) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X5,X6,X7] :
      ( ( parallel_lines(X5,X7)
        & parallel_lines(X5,X6) )
     => parallel_lines(X6,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.Yku8ck3bSN/Vampire---4.8_3327',con) ).

fof(f49,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.Yku8ck3bSN/Vampire---4.8_3327',apart3) ).

fof(f74,plain,
    convergent_lines(sK2,sK0),
    inference(unit_resulting_resolution,[],[f54,f56,f48]) ).

fof(f56,plain,
    ~ convergent_lines(sK1,sK0),
    inference(unit_resulting_resolution,[],[f49,f50,f48]) ).

fof(f50,plain,
    ~ convergent_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f43,f47]) ).

fof(f43,plain,
    parallel_lines(sK0,sK1),
    inference(cnf_transformation,[],[f40]) ).

fof(f54,plain,
    convergent_lines(sK1,sK2),
    inference(unit_resulting_resolution,[],[f45,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( parallel_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f45,plain,
    ~ parallel_lines(sK1,sK2),
    inference(cnf_transformation,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 19:17:33 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  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.Yku8ck3bSN/Vampire---4.8_3327
% 0.57/0.74  % (3558)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)
% 0.57/0.74  % (3558)First to succeed.
% 0.57/0.74  % (3552)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)
% 0.57/0.74  % (3554)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (3555)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)
% 0.57/0.74  % (3553)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)
% 0.57/0.74  % (3556)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)
% 0.57/0.74  % (3557)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)
% 0.57/0.74  % (3558)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (3558)------------------------------
% 0.57/0.74  % (3558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (3558)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (3558)Memory used [KB]: 1103
% 0.57/0.74  % (3558)Time elapsed: 0.002 s
% 0.57/0.74  % (3558)Instructions burned: 3 (million)
% 0.57/0.74  % (3558)------------------------------
% 0.57/0.74  % (3558)------------------------------
% 0.57/0.74  % (3548)Success in time 0.376 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------