TSTP Solution File: GEO258+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO258+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 : n010.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 : Wed May  1 02:23:18 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   39 (   3 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  105 (  39   ~;  40   |;  16   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   60 (  52   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(avatar_sat_refutation,[],[f58,f64,f70,f72,f79,f86]) ).

fof(f86,plain,
    ( ~ spl4_3
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f85,f55,f61]) ).

fof(f61,plain,
    ( spl4_3
  <=> before_on_line(sK0,sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f55,plain,
    ( spl4_2
  <=> before_on_line(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f85,plain,
    ( ~ before_on_line(sK0,sK2,sK3)
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f80,f57]) ).

fof(f57,plain,
    ( before_on_line(sK0,sK1,sK2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f80,plain,
    ( ~ before_on_line(sK0,sK2,sK3)
    | ~ before_on_line(sK0,sK1,sK2) ),
    inference(resolution,[],[f48,f42]) ).

fof(f42,plain,
    ~ between_on_line(sK0,sK3,sK2,sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ~ between_on_line(sK0,sK3,sK2,sK1)
    & between_on_line(sK0,sK1,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f36,f37]) ).

fof(f37,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ between_on_line(X0,X3,X2,X1)
        & between_on_line(X0,X1,X2,X3) )
   => ( ~ between_on_line(sK0,sK3,sK2,sK1)
      & between_on_line(sK0,sK1,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ? [X0,X1,X2,X3] :
      ( ~ between_on_line(X0,X3,X2,X1)
      & between_on_line(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2,X3] :
        ( between_on_line(X0,X1,X2,X3)
       => between_on_line(X0,X3,X2,X1) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X0,X3,X4] :
        ( between_on_line(X1,X0,X3,X4)
       => between_on_line(X1,X4,X3,X0) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X0,X3,X4] :
      ( between_on_line(X1,X0,X3,X4)
     => between_on_line(X1,X4,X3,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.BHhTMG8xnV/Vampire---4.8_5142',con) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] :
      ( between_on_line(X0,X1,X2,X3)
      | ~ before_on_line(X0,X2,X1)
      | ~ before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_on_line(X0,X1,X2,X3)
        | ( ( ~ before_on_line(X0,X2,X1)
            | ~ before_on_line(X0,X3,X2) )
          & ( ~ before_on_line(X0,X2,X3)
            | ~ before_on_line(X0,X1,X2) ) ) )
      & ( ( before_on_line(X0,X2,X1)
          & before_on_line(X0,X3,X2) )
        | ( before_on_line(X0,X2,X3)
          & before_on_line(X0,X1,X2) )
        | ~ between_on_line(X0,X1,X2,X3) ) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_on_line(X0,X1,X2,X3)
        | ( ( ~ before_on_line(X0,X2,X1)
            | ~ before_on_line(X0,X3,X2) )
          & ( ~ before_on_line(X0,X2,X3)
            | ~ before_on_line(X0,X1,X2) ) ) )
      & ( ( before_on_line(X0,X2,X1)
          & before_on_line(X0,X3,X2) )
        | ( before_on_line(X0,X2,X3)
          & before_on_line(X0,X1,X2) )
        | ~ between_on_line(X0,X1,X2,X3) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2,X3] :
      ( between_on_line(X0,X1,X2,X3)
    <=> ( ( before_on_line(X0,X2,X1)
          & before_on_line(X0,X3,X2) )
        | ( before_on_line(X0,X2,X3)
          & before_on_line(X0,X1,X2) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0,X3,X4] :
      ( between_on_line(X1,X0,X3,X4)
    <=> ( ( before_on_line(X1,X3,X0)
          & before_on_line(X1,X4,X3) )
        | ( before_on_line(X1,X3,X4)
          & before_on_line(X1,X0,X3) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BHhTMG8xnV/Vampire---4.8_5142',bet_def) ).

fof(f79,plain,
    ( ~ spl4_4
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f78,f51,f67]) ).

fof(f67,plain,
    ( spl4_4
  <=> before_on_line(sK0,sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f51,plain,
    ( spl4_1
  <=> before_on_line(sK0,sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f78,plain,
    ( ~ before_on_line(sK0,sK2,sK1)
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f73,f53]) ).

fof(f53,plain,
    ( before_on_line(sK0,sK3,sK2)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f73,plain,
    ( ~ before_on_line(sK0,sK2,sK1)
    | ~ before_on_line(sK0,sK3,sK2) ),
    inference(resolution,[],[f47,f42]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1] :
      ( between_on_line(X0,X1,X2,X3)
      | ~ before_on_line(X0,X2,X3)
      | ~ before_on_line(X0,X1,X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f72,plain,
    ( spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f71,f61,f67]) ).

fof(f71,plain,
    ( before_on_line(sK0,sK2,sK3)
    | before_on_line(sK0,sK2,sK1) ),
    inference(resolution,[],[f46,f41]) ).

fof(f41,plain,
    between_on_line(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f38]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X2,X3)
      | before_on_line(X0,X2,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f70,plain,
    ( spl4_4
    | spl4_2 ),
    inference(avatar_split_clause,[],[f65,f55,f67]) ).

fof(f65,plain,
    ( before_on_line(sK0,sK1,sK2)
    | before_on_line(sK0,sK2,sK1) ),
    inference(resolution,[],[f45,f41]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X1,X2)
      | before_on_line(X0,X2,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f64,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_split_clause,[],[f59,f61,f51]) ).

fof(f59,plain,
    ( before_on_line(sK0,sK2,sK3)
    | before_on_line(sK0,sK3,sK2) ),
    inference(resolution,[],[f44,f41]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X2,X3)
      | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f58,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f49,f55,f51]) ).

fof(f49,plain,
    ( before_on_line(sK0,sK1,sK2)
    | before_on_line(sK0,sK3,sK2) ),
    inference(resolution,[],[f43,f41]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between_on_line(X0,X1,X2,X3)
      | before_on_line(X0,X1,X2)
      | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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
% 0.15/0.35  % Computer : n010.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   : Tue Apr 30 18:44:49 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/tmp/tmp.BHhTMG8xnV/Vampire---4.8_5142
% 0.62/0.80  % (5333)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)
% 0.62/0.80  % (5335)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (5334)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)
% 0.62/0.80  % (5336)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)
% 0.62/0.80  % (5337)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)
% 0.62/0.80  % (5333)First to succeed.
% 0.62/0.80  % (5341)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)
% 0.62/0.80  % (5340)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)
% 0.62/0.80  % (5341)Also succeeded, but the first one will report.
% 0.62/0.80  % (5337)Refutation not found, incomplete strategy% (5337)------------------------------
% 0.62/0.80  % (5337)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (5337)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (5337)Memory used [KB]: 1044
% 0.62/0.80  % (5337)Time elapsed: 0.003 s
% 0.62/0.80  % (5337)Instructions burned: 3 (million)
% 0.62/0.80  % (5337)------------------------------
% 0.62/0.80  % (5337)------------------------------
% 0.62/0.80  vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 0.62/0.80  5334 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.BHhTMG8xnV/Vampire---4.8_5142
% 0.62/0.80  % (5334)------------------------------
% 0.62/0.80  % (5334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (5334)Termination reason: Unknown
% 0.62/0.80  % (5334)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (5334)Memory used [KB]: 1122
% 0.62/0.80  % (5334)Time elapsed: 0.004 s
% 0.62/0.80  % (5334)Instructions burned: 4 (million)
% 0.62/0.80  % (5333)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (5333)------------------------------
% 0.62/0.80  % (5333)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (5333)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (5333)Memory used [KB]: 993
% 0.62/0.80  % (5333)Time elapsed: 0.003 s
% 0.62/0.80  % (5333)Instructions burned: 4 (million)
% 0.62/0.80  % (5333)------------------------------
% 0.62/0.80  % (5333)------------------------------
% 0.62/0.80  % (5334)------------------------------
% 0.62/0.80  % (5334)------------------------------
% 0.62/0.80  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  ???
% 0.62/0.80   ???
% 0.62/0.80    ???
% 0.62/0.80     ???
% 0.62/0.80      ???
% 0.62/0.80       ???
% 0.62/0.80        ???
% 0.62/0.80         ???
% 0.62/0.80          ???
% 0.62/0.80           ???
% 0.62/0.80            ???
% 0.62/0.80             ???
% 0.62/0.80              ???
% 0.62/0.80               ???
% 0.62/0.80                ???
% 0.62/0.80                 ???
% 0.62/0.80                  ???
% 0.62/0.80                   ???
% 0.62/0.80                    ???
% 0.62/0.80                     ???
% 0.62/0.80                      ???
% 0.62/0.80                       ???
% 0.62/0.80                        ???
% 0.62/0.80                         ???
% 0.62/0.80                          ???
% 0.62/0.80                           ???
% 0.62/0.80                            ???
% 0.62/0.80                             ???
% 0.62/0.80                              ???
% 0.62/0.80                               ???
% 0.62/0.80                                ???
% 0.62/0.80                                 ???
% 0.62/0.80                                  ???
% 0.62/0.80  % (5291)Success in time 0.442 s
% 0.62/0.80                                   ???
% 0.62/0.80                                    ???
% 0.62/0.80                                     ???
% 0.62/0.80                                      ???
% 0.62/0.80                                       ???
% 0.62/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------