TSTP Solution File: GEO249+3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO249+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 : n028.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 : Sun May  5 05:10:46 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   40 (  15   ~;   5   |;  15   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (  23   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f78,plain,
    $false,
    inference(subsumption_resolution,[],[f77,f74]) ).

fof(f74,plain,
    ! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X3] :
      ~ ( left_apart_point(X2,reverse_line(X3))
        | left_apart_point(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.sAFDyq55Fw/Vampire---4.8_29887',ax10_basics) ).

fof(f77,plain,
    left_apart_point(sK0,reverse_line(sK2)),
    inference(resolution,[],[f64,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ right_apart_point(X0,X1)
      | left_apart_point(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( right_apart_point(X0,X1)
        | ~ left_apart_point(X0,reverse_line(X1)) )
      & ( left_apart_point(X0,reverse_line(X1))
        | ~ right_apart_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( right_apart_point(X0,X1)
    <=> left_apart_point(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.sAFDyq55Fw/Vampire---4.8_29887',a2_defns) ).

fof(f64,plain,
    right_apart_point(sK0,sK2),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ~ right_apart_point(sK1,sK2)
    & right_apart_point(sK1,parallel_through_point(sK2,sK0))
    & right_apart_point(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f55,f61]) ).

fof(f61,plain,
    ( ? [X0,X1,X2] :
        ( ~ right_apart_point(X1,X2)
        & right_apart_point(X1,parallel_through_point(X2,X0))
        & right_apart_point(X0,X2) )
   => ( ~ right_apart_point(sK1,sK2)
      & right_apart_point(sK1,parallel_through_point(sK2,sK0))
      & right_apart_point(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ? [X0,X1,X2] :
      ( ~ right_apart_point(X1,X2)
      & right_apart_point(X1,parallel_through_point(X2,X0))
      & right_apart_point(X0,X2) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ? [X0,X1,X2] :
      ( ~ right_apart_point(X1,X2)
      & right_apart_point(X1,parallel_through_point(X2,X0))
      & right_apart_point(X0,X2) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0,X1,X2] :
        ( ( right_apart_point(X1,parallel_through_point(X2,X0))
          & right_apart_point(X0,X2) )
       => right_apart_point(X1,X2) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X2,X5,X3] :
        ( ( right_apart_point(X5,parallel_through_point(X3,X2))
          & right_apart_point(X2,X3) )
       => right_apart_point(X5,X3) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X2,X5,X3] :
      ( ( right_apart_point(X5,parallel_through_point(X3,X2))
        & right_apart_point(X2,X3) )
     => right_apart_point(X5,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.sAFDyq55Fw/Vampire---4.8_29887',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : GEO249+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n028.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   : Fri May  3 21:53:52 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.31  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.sAFDyq55Fw/Vampire---4.8_29887
% 0.60/0.79  % (29998)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  % (30000)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  % (29999)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  % (29996)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  % (29997)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  % (30001)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  % (30002)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  % (30003)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  % (29996)Refutation not found, incomplete strategy% (29996)------------------------------
% 0.60/0.79  % (29996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (30003)First to succeed.
% 0.60/0.79  % (29996)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (29996)Memory used [KB]: 1048
% 0.60/0.79  % (29996)Time elapsed: 0.003 s
% 0.60/0.79  % (29996)Instructions burned: 2 (million)
% 0.60/0.79  % (30000)Also succeeded, but the first one will report.
% 0.60/0.79  % (29999)Refutation not found, incomplete strategy% (29999)------------------------------
% 0.60/0.79  % (29999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (29999)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (29999)Memory used [KB]: 1049
% 0.60/0.79  % (29999)Time elapsed: 0.003 s
% 0.60/0.79  % (29999)Instructions burned: 3 (million)
% 0.60/0.79  % (29997)Also succeeded, but the first one will report.
% 0.60/0.79  % (30002)Also succeeded, but the first one will report.
% 0.60/0.79  % (29996)------------------------------
% 0.60/0.79  % (29996)------------------------------
% 0.60/0.79  % (30003)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29994"
% 0.60/0.79  % (29998)Also succeeded, but the first one will report.
% 0.60/0.79  % (29999)------------------------------
% 0.60/0.79  % (29999)------------------------------
% 0.60/0.79  % (30001)Refutation not found, incomplete strategy% (30001)------------------------------
% 0.60/0.79  % (30001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (30001)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (30001)Memory used [KB]: 1038
% 0.60/0.79  % (30001)Time elapsed: 0.004 s
% 0.60/0.79  % (30001)Instructions burned: 3 (million)
% 0.60/0.79  % (30001)------------------------------
% 0.60/0.79  % (30001)------------------------------
% 0.60/0.79  % (30003)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
% 0.60/0.80  % (30003)------------------------------
% 0.60/0.80  % (30003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (30003)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (30003)Memory used [KB]: 1044
% 0.60/0.80  % (30003)Time elapsed: 0.003 s
% 0.60/0.80  % (30003)Instructions burned: 3 (million)
% 0.60/0.80  % (29994)Success in time 0.477 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------