TSTP Solution File: GEO248+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO248+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 : 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 : Sun May  5 05:10:46 EDT 2024

% Result   : Theorem 0.62s 0.76s
% Output   : Refutation 0.62s
% 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(f160,plain,
    $false,
    inference(subsumption_resolution,[],[f159,f132]) ).

fof(f132,plain,
    ! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,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/tmp/tmp.F3RkAFdcup/Vampire---4.8_4856',ax10_basics) ).

fof(f159,plain,
    left_apart_point(sK0,reverse_line(sK2)),
    inference(resolution,[],[f155,f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( left_apart_point(X0,reverse_line(X1))
      | ~ right_apart_point(X0,X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,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/tmp/tmp.F3RkAFdcup/Vampire---4.8_4856',a2_defns) ).

fof(f155,plain,
    right_apart_point(sK0,sK2),
    inference(subsumption_resolution,[],[f154,f131]) ).

fof(f131,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f84]) ).

fof(f154,plain,
    ( right_apart_point(sK0,sK2)
    | left_apart_point(sK0,sK2) ),
    inference(resolution,[],[f152,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( right_apart_point(X0,X1)
      | left_apart_point(X0,X1)
      | ~ apart_point_and_line(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,[],[f39]) ).

fof(f39,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/tmp/tmp.F3RkAFdcup/Vampire---4.8_4856',a6_defns) ).

fof(f152,plain,
    apart_point_and_line(sK0,sK2),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ~ apart_point_and_line(sK1,sK2)
    & apart_point_and_line(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f107,f111]) ).

fof(f111,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(f107,plain,
    ? [X0,X1,X2] :
      ( ~ apart_point_and_line(X1,X2)
      & apart_point_and_line(X0,X2) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ~ ! [X0,X1,X2] :
        ( apart_point_and_line(X0,X2)
       => apart_point_and_line(X1,X2) ),
    inference(pure_predicate_removal,[],[f70]) ).

fof(f70,plain,
    ~ ! [X0,X1,X2] :
        ( ( incident_point_and_line(X1,parallel_lines(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_lines(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_lines(X3,X2))
        & apart_point_and_line(X2,X3) )
     => apart_point_and_line(X5,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.F3RkAFdcup/Vampire---4.8_4856',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:54:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  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/tmp/tmp.F3RkAFdcup/Vampire---4.8_4856
% 0.57/0.75  % (5232)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 (2996ds/56Mi)
% 0.57/0.75  % (5232)Refutation not found, incomplete strategy% (5232)------------------------------
% 0.57/0.75  % (5232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (5232)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (5232)Memory used [KB]: 1033
% 0.57/0.75  % (5232)Time elapsed: 0.002 s
% 0.57/0.75  % (5232)Instructions burned: 2 (million)
% 0.57/0.75  % (5225)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)
% 0.57/0.75  % (5227)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (5226)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)
% 0.57/0.75  % (5232)------------------------------
% 0.57/0.75  % (5232)------------------------------
% 0.57/0.75  % (5229)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)
% 0.57/0.75  % (5228)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)
% 0.57/0.75  % (5230)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)
% 0.57/0.75  % (5231)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)
% 0.57/0.76  % (5228)Refutation not found, incomplete strategy% (5228)------------------------------
% 0.57/0.76  % (5228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (5228)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (5228)Memory used [KB]: 963
% 0.57/0.76  % (5228)Time elapsed: 0.002 s
% 0.57/0.76  % (5228)Instructions burned: 2 (million)
% 0.57/0.76  % (5225)Refutation not found, incomplete strategy% (5225)------------------------------
% 0.57/0.76  % (5225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (5225)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (5225)Memory used [KB]: 1035
% 0.57/0.76  % (5225)Time elapsed: 0.003 s
% 0.57/0.76  % (5225)Instructions burned: 2 (million)
% 0.57/0.76  % (5230)Refutation not found, incomplete strategy% (5230)------------------------------
% 0.57/0.76  % (5230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (5230)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (5230)Memory used [KB]: 1037
% 0.57/0.76  % (5230)Time elapsed: 0.003 s
% 0.57/0.76  % (5228)------------------------------
% 0.57/0.76  % (5228)------------------------------
% 0.57/0.76  % (5230)Instructions burned: 2 (million)
% 0.57/0.76  % (5225)------------------------------
% 0.57/0.76  % (5225)------------------------------
% 0.57/0.76  % (5229)First to succeed.
% 0.57/0.76  % (5231)Refutation not found, incomplete strategy% (5231)------------------------------
% 0.57/0.76  % (5231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (5230)------------------------------
% 0.57/0.76  % (5230)------------------------------
% 0.57/0.76  % (5231)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (5231)Memory used [KB]: 1036
% 0.57/0.76  % (5231)Time elapsed: 0.003 s
% 0.57/0.76  % (5231)Instructions burned: 3 (million)
% 0.57/0.76  % (5231)------------------------------
% 0.57/0.76  % (5231)------------------------------
% 0.57/0.76  % (5227)Also succeeded, but the first one will report.
% 0.57/0.76  % (5226)Also succeeded, but the first one will report.
% 0.57/0.76  % (5229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5070"
% 0.57/0.76  % (5233)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.62/0.76  % (5233)Refutation not found, incomplete strategy% (5233)------------------------------
% 0.62/0.76  % (5233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (5233)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (5233)Memory used [KB]: 963
% 0.62/0.76  % (5233)Time elapsed: 0.001 s
% 0.62/0.76  % (5233)Instructions burned: 2 (million)
% 0.62/0.76  % (5229)Refutation found. Thanks to Tanya!
% 0.62/0.76  % SZS status Theorem for Vampire---4
% 0.62/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.76  % (5229)------------------------------
% 0.62/0.76  % (5229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (5229)Termination reason: Refutation
% 0.62/0.76  
% 0.62/0.76  % (5229)Memory used [KB]: 1053
% 0.62/0.76  % (5229)Time elapsed: 0.004 s
% 0.62/0.76  % (5229)Instructions burned: 4 (million)
% 0.62/0.76  % (5070)Success in time 0.388 s
% 0.62/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------