TSTP Solution File: GEO245+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO245+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : 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 05:10:45 EDT 2024

% Result   : Theorem 0.49s 0.71s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   30 (  11   ~;   1   |;  11   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   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   :   24 (  15   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f138,plain,
    $false,
    inference(resolution,[],[f114,f136]) ).

fof(f136,plain,
    left_apart_point(sK2,line_connecting(sK0,sK1)),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ~ left_apart_point(sK1,reverse_line(line_connecting(sK0,sK2)))
    & left_apart_point(sK2,line_connecting(sK0,sK1))
    & distinct_points(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f97,f98]) ).

fof(f98,plain,
    ( ? [X0,X1,X2] :
        ( ~ left_apart_point(X1,reverse_line(line_connecting(X0,X2)))
        & left_apart_point(X2,line_connecting(X0,X1))
        & distinct_points(X0,X1) )
   => ( ~ left_apart_point(sK1,reverse_line(line_connecting(sK0,sK2)))
      & left_apart_point(sK2,line_connecting(sK0,sK1))
      & distinct_points(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ? [X0,X1,X2] :
      ( ~ left_apart_point(X1,reverse_line(line_connecting(X0,X2)))
      & left_apart_point(X2,line_connecting(X0,X1))
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ? [X0,X1,X2] :
      ( ~ left_apart_point(X1,reverse_line(line_connecting(X0,X2)))
      & left_apart_point(X2,line_connecting(X0,X1))
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ~ ! [X0,X1,X2] :
        ( distinct_points(X0,X1)
       => ( left_apart_point(X2,line_connecting(X0,X1))
         => left_apart_point(X1,reverse_line(line_connecting(X0,X2))) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X3,X4] :
        ( distinct_points(X0,X3)
       => ( left_apart_point(X4,line_connecting(X0,X3))
         => left_apart_point(X3,reverse_line(line_connecting(X0,X4))) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X3,X4] :
      ( distinct_points(X0,X3)
     => ( left_apart_point(X4,line_connecting(X0,X3))
       => left_apart_point(X3,reverse_line(line_connecting(X0,X4))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.thuTkv7qU7/Vampire---4.8_11113',con) ).

fof(f114,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.thuTkv7qU7/Vampire---4.8_11113',oag10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO245+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 21:57:37 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.12/0.34  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.thuTkv7qU7/Vampire---4.8_11113
% 0.49/0.71  % (11223)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)
% 0.49/0.71  % (11224)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.49/0.71  % (11225)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)
% 0.49/0.71  % (11227)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)
% 0.49/0.71  % (11226)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)
% 0.49/0.71  % (11228)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)
% 0.49/0.71  % (11229)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)
% 0.49/0.71  % (11227)Also succeeded, but the first one will report.
% 0.49/0.71  % (11225)Also succeeded, but the first one will report.
% 0.49/0.71  % (11223)First to succeed.
% 0.49/0.71  % (11229)Also succeeded, but the first one will report.
% 0.49/0.71  % (11224)Also succeeded, but the first one will report.
% 0.49/0.71  % (11223)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11221"
% 0.49/0.71  % (11226)Also succeeded, but the first one will report.
% 0.49/0.71  % (11228)Also succeeded, but the first one will report.
% 0.49/0.71  % (11223)Refutation found. Thanks to Tanya!
% 0.49/0.71  % SZS status Theorem for Vampire---4
% 0.49/0.71  % SZS output start Proof for Vampire---4
% See solution above
% 0.49/0.71  % (11223)------------------------------
% 0.49/0.71  % (11223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.71  % (11223)Termination reason: Refutation
% 0.49/0.71  
% 0.49/0.71  % (11223)Memory used [KB]: 1064
% 0.49/0.71  % (11223)Time elapsed: 0.002 s
% 0.49/0.71  % (11223)Instructions burned: 4 (million)
% 0.49/0.71  % (11221)Success in time 0.366 s
% 0.49/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------