TSTP Solution File: GEO253+3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO253+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 : n021.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 20:09:49 EDT 2024

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   60 (  23   ~;  16   |;  13   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (  38   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f166,plain,
    $false,
    inference(subsumption_resolution,[],[f164,f145]) ).

fof(f145,plain,
    ! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,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/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).

fof(f164,plain,
    left_apart_point(sK0,reverse_line(sK2)),
    inference(resolution,[],[f163,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ right_apart_point(X0,X1)
      | left_apart_point(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,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/sandbox2/benchmark/theBenchmark.p',a2_defns) ).

fof(f163,plain,
    right_apart_point(sK0,sK2),
    inference(subsumption_resolution,[],[f162,f144]) ).

fof(f144,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f99]) ).

fof(f162,plain,
    ( left_apart_point(sK0,sK2)
    | right_apart_point(sK0,sK2) ),
    inference(resolution,[],[f121,f112]) ).

fof(f112,plain,
    apart_point_and_line(sK0,sK2),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ~ apart_point_and_line(sK1,sK2)
    & apart_point_and_line(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f72,f107]) ).

fof(f107,plain,
    ( ? [X0,X1,X2] :
        ( ~ apart_point_and_line(X1,X2)
        & apart_point_and_line(X0,X2) )
   => ( ~ apart_point_and_line(sK1,sK2)
      & apart_point_and_line(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ? [X0,X1,X2] :
      ( ~ apart_point_and_line(X1,X2)
      & apart_point_and_line(X0,X2) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ~ ! [X0,X1,X2] :
        ( apart_point_and_line(X0,X2)
       => apart_point_and_line(X1,X2) ),
    inference(pure_predicate_removal,[],[f39]) ).

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

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

fof(f37,conjecture,
    ! [X2,X5,X3] :
      ( ( incident_point_and_line(X5,parallel_through_point(X3,X2))
        & apart_point_and_line(X2,X3) )
     => apart_point_and_line(X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | left_apart_point(X0,X1)
      | right_apart_point(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( apart_point_and_line(X0,X1)
        | ( ~ right_apart_point(X0,X1)
          & ~ left_apart_point(X0,X1) ) )
      & ( right_apart_point(X0,X1)
        | left_apart_point(X0,X1)
        | ~ apart_point_and_line(X0,X1) ) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( apart_point_and_line(X0,X1)
        | ( ~ right_apart_point(X0,X1)
          & ~ left_apart_point(X0,X1) ) )
      & ( right_apart_point(X0,X1)
        | left_apart_point(X0,X1)
        | ~ apart_point_and_line(X0,X1) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( apart_point_and_line(X0,X1)
    <=> ( right_apart_point(X0,X1)
        | left_apart_point(X0,X1) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X3] :
      ( apart_point_and_line(X2,X3)
    <=> ( right_apart_point(X2,X3)
        | left_apart_point(X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_defns) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO253+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % 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
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 14:40:38 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.73  % (742)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)
% 0.55/0.73  % (742)Refutation not found, incomplete strategy% (742)------------------------------
% 0.55/0.73  % (742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (735)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)
% 0.55/0.73  % (742)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (742)Memory used [KB]: 1047
% 0.55/0.73  % (742)Time elapsed: 0.002 s
% 0.55/0.73  % (742)Instructions burned: 3 (million)
% 0.55/0.73  % (737)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (739)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)
% 0.55/0.73  % (742)------------------------------
% 0.55/0.73  % (742)------------------------------
% 0.55/0.73  % (743)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73  % (739)Refutation not found, incomplete strategy% (739)------------------------------
% 0.55/0.73  % (739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (739)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (739)Memory used [KB]: 974
% 0.55/0.73  % (739)Time elapsed: 0.002 s
% 0.55/0.73  % (739)Instructions burned: 2 (million)
% 0.55/0.73  % (735)Refutation not found, incomplete strategy% (735)------------------------------
% 0.55/0.73  % (735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (735)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (735)Memory used [KB]: 1043
% 0.55/0.73  % (735)Time elapsed: 0.003 s
% 0.55/0.73  % (735)Instructions burned: 2 (million)
% 0.55/0.73  % (739)------------------------------
% 0.55/0.73  % (739)------------------------------
% 0.55/0.73  % (743)Refutation not found, incomplete strategy% (743)------------------------------
% 0.55/0.73  % (743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (735)------------------------------
% 0.55/0.73  % (735)------------------------------
% 0.55/0.73  % (743)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (743)Memory used [KB]: 1042
% 0.55/0.73  % (743)Time elapsed: 0.003 s
% 0.55/0.73  % (743)Instructions burned: 2 (million)
% 0.55/0.73  % (743)------------------------------
% 0.55/0.73  % (743)------------------------------
% 0.55/0.73  % (737)First to succeed.
% 0.55/0.73  % (736)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)
% 0.55/0.73  % (737)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-734"
% 0.55/0.73  % (737)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Theorem for theBenchmark
% 0.55/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.73  % (737)------------------------------
% 0.55/0.73  % (737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (737)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (737)Memory used [KB]: 1076
% 0.55/0.73  % (737)Time elapsed: 0.004 s
% 0.55/0.73  % (737)Instructions burned: 5 (million)
% 0.55/0.73  % (734)Success in time 0.366 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------