TSTP Solution File: GEO218+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO218+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 02:23:04 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   37 (  13 unt;   0 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   92 (  41   ~;  29   |;  13   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   64 (  58   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f198,plain,
    $false,
    inference(subsumption_resolution,[],[f187,f172]) ).

fof(f172,plain,
    convergent_lines(sK2,sK1),
    inference(unit_resulting_resolution,[],[f108,f127,f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | convergent_lines(X0,X2)
      | convergent_lines(X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f50]) ).

fof(f50,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/sandbox2/tmp/tmp.WGhTCNlAMJ/Vampire---4.8_15348',ax6) ).

fof(f127,plain,
    convergent_lines(sK0,sK2),
    inference(unit_resulting_resolution,[],[f110,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X5,X6] :
      ( unorthogonal_lines(X5,X6)
      | convergent_lines(X5,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.WGhTCNlAMJ/Vampire---4.8_15348',occu1) ).

fof(f110,plain,
    ~ unorthogonal_lines(sK0,sK2),
    inference(unit_resulting_resolution,[],[f77,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ orthogonal_lines(X0,X1)
      | ~ unorthogonal_lines(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( orthogonal_lines(X0,X1)
    <=> ~ unorthogonal_lines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.WGhTCNlAMJ/Vampire---4.8_15348',a5) ).

fof(f77,plain,
    orthogonal_lines(sK0,sK2),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ? [X0,X1,X2] :
      ( ~ orthogonal_lines(X1,X2)
      & orthogonal_lines(X0,X2)
      & parallel_lines(X0,X1) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ? [X0,X1,X2] :
      ( ~ orthogonal_lines(X1,X2)
      & orthogonal_lines(X0,X2)
      & parallel_lines(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

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

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

fof(f36,conjecture,
    ! [X5,X6,X7] :
      ( ( orthogonal_lines(X5,X7)
        & parallel_lines(X5,X6) )
     => orthogonal_lines(X6,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.WGhTCNlAMJ/Vampire---4.8_15348',con) ).

fof(f108,plain,
    ~ convergent_lines(sK0,sK1),
    inference(unit_resulting_resolution,[],[f76,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ parallel_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ convergent_lines(X0,X1)
      | ~ parallel_lines(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( parallel_lines(X0,X1)
     => ~ convergent_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( parallel_lines(X0,X1)
    <=> ~ convergent_lines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.WGhTCNlAMJ/Vampire---4.8_15348',a3) ).

fof(f76,plain,
    parallel_lines(sK0,sK1),
    inference(cnf_transformation,[],[f48]) ).

fof(f187,plain,
    ~ convergent_lines(sK2,sK1),
    inference(unit_resulting_resolution,[],[f83,f133,f82]) ).

fof(f133,plain,
    ~ convergent_lines(sK1,sK2),
    inference(unit_resulting_resolution,[],[f108,f110,f112,f88]) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( ~ unorthogonal_lines(X1,X2)
      | unorthogonal_lines(X0,X2)
      | ~ convergent_lines(X1,X2)
      | convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ~ unorthogonal_lines(X1,X2)
      | ~ convergent_lines(X1,X2)
      | ( unorthogonal_lines(X0,X2)
        & convergent_lines(X0,X2) )
      | ( unorthogonal_lines(X0,X1)
        & convergent_lines(X0,X1) ) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ~ unorthogonal_lines(X1,X2)
      | ~ convergent_lines(X1,X2)
      | ( unorthogonal_lines(X0,X2)
        & convergent_lines(X0,X2) )
      | ( unorthogonal_lines(X0,X1)
        & convergent_lines(X0,X1) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ unorthogonal_lines(X0,X2)
          | ~ convergent_lines(X0,X2) )
        & ( ~ unorthogonal_lines(X0,X1)
          | ~ convergent_lines(X0,X1) ) )
     => ( ~ unorthogonal_lines(X1,X2)
        | ~ convergent_lines(X1,X2) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X5,X6,X7] :
      ( ( ( ~ unorthogonal_lines(X5,X7)
          | ~ convergent_lines(X5,X7) )
        & ( ~ unorthogonal_lines(X5,X6)
          | ~ convergent_lines(X5,X6) ) )
     => ( ~ unorthogonal_lines(X6,X7)
        | ~ convergent_lines(X6,X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WGhTCNlAMJ/Vampire---4.8_15348',cotno1) ).

fof(f112,plain,
    unorthogonal_lines(sK1,sK2),
    inference(unit_resulting_resolution,[],[f78,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( orthogonal_lines(X0,X1)
      | unorthogonal_lines(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f78,plain,
    ~ orthogonal_lines(sK1,sK2),
    inference(cnf_transformation,[],[f48]) ).

fof(f83,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.WGhTCNlAMJ/Vampire---4.8_15348',apart3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % 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
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 18:55:06 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_NEQ problem
% 0.10/0.31  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.WGhTCNlAMJ/Vampire---4.8_15348
% 0.60/0.79  % (15463)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 (2995ds/34Mi)
% 0.60/0.79  % (15466)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79  % (15464)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 (2995ds/51Mi)
% 0.60/0.79  % (15467)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 (2995ds/34Mi)
% 0.60/0.79  % (15465)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (15468)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79  % (15469)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 (2995ds/83Mi)
% 0.60/0.79  % (15470)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 (2995ds/56Mi)
% 0.60/0.79  % (15463)Refutation not found, incomplete strategy% (15463)------------------------------
% 0.60/0.79  % (15463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (15463)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15463)Memory used [KB]: 1031
% 0.60/0.79  % (15463)Time elapsed: 0.003 s
% 0.60/0.79  % (15463)Instructions burned: 2 (million)
% 0.60/0.79  % (15463)------------------------------
% 0.60/0.79  % (15463)------------------------------
% 0.60/0.79  % (15466)Refutation not found, incomplete strategy% (15466)------------------------------
% 0.60/0.79  % (15466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (15466)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (15466)Memory used [KB]: 1017
% 0.60/0.79  % (15466)Time elapsed: 0.004 s
% 0.60/0.79  % (15466)Instructions burned: 2 (million)
% 0.60/0.79  % (15466)------------------------------
% 0.60/0.79  % (15466)------------------------------
% 0.60/0.79  % (15469)First to succeed.
% 0.60/0.79  % (15468)Also succeeded, but the first one will report.
% 0.60/0.79  % (15469)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (15469)------------------------------
% 0.60/0.79  % (15469)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (15469)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (15469)Memory used [KB]: 1114
% 0.60/0.79  % (15469)Time elapsed: 0.005 s
% 0.60/0.79  % (15469)Instructions burned: 6 (million)
% 0.60/0.79  % (15469)------------------------------
% 0.60/0.79  % (15469)------------------------------
% 0.60/0.79  % (15459)Success in time 0.477 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------