TSTP Solution File: GEO238+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO238+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 05:10:43 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   4 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   56 (  13   ~;  12   |;  24   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   50 (  38   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f66,f63]) ).

fof(f63,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,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.lHGTFBc4Nf/Vampire---4.8_31557',ax10_basics) ).

fof(f66,plain,
    left_apart_point(sK1,sK3),
    inference(subsumption_resolution,[],[f65,f63]) ).

fof(f65,plain,
    ( left_apart_point(sK0,sK3)
    | left_apart_point(sK1,sK3) ),
    inference(resolution,[],[f55,f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ divides_points(X2,X0,X1)
      | left_apart_point(X0,X2)
      | left_apart_point(X1,X2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( left_apart_point(X1,X2)
        & right_apart_point(X0,X2) )
      | ( right_apart_point(X1,X2)
        & left_apart_point(X0,X2) )
      | ~ divides_points(X2,X0,X1) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( left_apart_point(X1,X2)
        & right_apart_point(X0,X2) )
      | ( right_apart_point(X1,X2)
        & left_apart_point(X0,X2) )
      | ~ divides_points(X2,X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( divides_points(X2,X0,X1)
     => ( ( left_apart_point(X1,X2)
          & right_apart_point(X0,X2) )
        | ( right_apart_point(X1,X2)
          & left_apart_point(X0,X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( divides_points(X2,X0,X1)
    <=> ( ( left_apart_point(X1,X2)
          & right_apart_point(X0,X2) )
        | ( right_apart_point(X1,X2)
          & left_apart_point(X0,X2) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X5,X3] :
      ( divides_points(X3,X2,X5)
    <=> ( ( left_apart_point(X5,X3)
          & right_apart_point(X2,X3) )
        | ( right_apart_point(X5,X3)
          & left_apart_point(X2,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lHGTFBc4Nf/Vampire---4.8_31557',a8_defns) ).

fof(f55,plain,
    divides_points(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( divides_points(sK3,sK1,sK2)
    & divides_points(sK3,sK0,sK2)
    & divides_points(sK3,sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f48,f53]) ).

fof(f53,plain,
    ( ? [X0,X1,X2,X3] :
        ( divides_points(X3,X1,X2)
        & divides_points(X3,X0,X2)
        & divides_points(X3,X0,X1) )
   => ( divides_points(sK3,sK1,sK2)
      & divides_points(sK3,sK0,sK2)
      & divides_points(sK3,sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0,X1,X2,X3] :
      ( divides_points(X3,X1,X2)
      & divides_points(X3,X0,X2)
      & divides_points(X3,X0,X1) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ? [X0,X1,X2,X3] :
      ( divides_points(X3,X1,X2)
      & divides_points(X3,X0,X2)
      & divides_points(X3,X0,X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( divides_points(X3,X0,X2)
          & divides_points(X3,X0,X1) )
       => ~ divides_points(X3,X1,X2) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X2,X5,X6,X3] :
        ( ( divides_points(X3,X2,X6)
          & divides_points(X3,X2,X5) )
       => ~ divides_points(X3,X5,X6) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X2,X5,X6,X3] :
      ( ( divides_points(X3,X2,X6)
        & divides_points(X3,X2,X5) )
     => ~ divides_points(X3,X5,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.lHGTFBc4Nf/Vampire---4.8_31557',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % 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
% 0.16/0.35  % Computer : n028.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 21:54:23 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36  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.lHGTFBc4Nf/Vampire---4.8_31557
% 0.56/0.73  % (31816)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)
% 0.56/0.73  % (31817)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)
% 0.56/0.73  % (31810)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)
% 0.56/0.73  % (31812)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (31813)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)
% 0.56/0.73  % (31811)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)
% 0.56/0.73  % (31814)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)
% 0.56/0.73  % (31815)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)
% 0.56/0.73  % (31810)Refutation not found, incomplete strategy% (31810)------------------------------
% 0.56/0.73  % (31810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (31813)Refutation not found, incomplete strategy% (31813)------------------------------
% 0.56/0.73  % (31813)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (31810)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (31810)Memory used [KB]: 960
% 0.56/0.73  % (31810)Time elapsed: 0.002 s
% 0.56/0.73  % (31810)Instructions burned: 2 (million)
% 0.56/0.73  % (31813)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (31813)Memory used [KB]: 960
% 0.56/0.73  % (31813)Time elapsed: 0.002 s
% 0.56/0.73  % (31813)Instructions burned: 2 (million)
% 0.56/0.73  % (31816)Also succeeded, but the first one will report.
% 0.56/0.73  % (31817)First to succeed.
% 0.56/0.73  % (31810)------------------------------
% 0.56/0.73  % (31810)------------------------------
% 0.56/0.73  % (31813)------------------------------
% 0.56/0.73  % (31813)------------------------------
% 0.56/0.73  % (31817)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31806"
% 0.56/0.74  % (31815)Also succeeded, but the first one will report.
% 0.56/0.74  % (31814)Also succeeded, but the first one will report.
% 0.56/0.74  % (31817)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (31817)------------------------------
% 0.56/0.74  % (31817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (31817)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (31817)Memory used [KB]: 1043
% 0.56/0.74  % (31817)Time elapsed: 0.003 s
% 0.56/0.74  % (31817)Instructions burned: 3 (million)
% 0.56/0.74  % (31806)Success in time 0.368 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------