TSTP Solution File: GEO187+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : Wed May  1 02:22:47 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   73 (  10 unt;   0 def)
%            Number of atoms       :  237 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  270 ( 106   ~; 115   |;  34   &)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :  104 (  92   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f408,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f119,f275,f307,f330,f407]) ).

fof(f407,plain,
    ( ~ spl4_2
    | ~ spl4_4
    | spl4_17
    | spl4_18 ),
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_4
    | spl4_17
    | spl4_18 ),
    inference(subsumption_resolution,[],[f405,f269]) ).

fof(f269,plain,
    ( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | spl4_17 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl4_17
  <=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f405,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl4_2
    | ~ spl4_4
    | spl4_18 ),
    inference(subsumption_resolution,[],[f399,f273]) ).

fof(f273,plain,
    ( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | spl4_18 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl4_18
  <=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f399,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(resolution,[],[f253,f52]) ).

fof(f52,plain,
    ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl4_2
  <=> apart_point_and_line(sK3,line_connecting(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f253,plain,
    ( ! [X0] :
        ( ~ apart_point_and_line(sK3,X0)
        | apart_point_and_line(sK1,X0)
        | apart_point_and_line(sK0,X0) )
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f251,f34]) ).

fof(f34,plain,
    distinct_points(sK2,sK3),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
      | apart_point_and_line(sK2,line_connecting(sK0,sK1)) )
    & ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
    & ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
    & distinct_points(sK2,sK3)
    & distinct_points(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f31]) ).

fof(f31,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( apart_point_and_line(X3,line_connecting(X0,X1))
          | apart_point_and_line(X2,line_connecting(X0,X1)) )
        & ~ apart_point_and_line(X1,line_connecting(X2,X3))
        & ~ apart_point_and_line(X0,line_connecting(X2,X3))
        & distinct_points(X2,X3)
        & distinct_points(X0,X1) )
   => ( ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
        | apart_point_and_line(sK2,line_connecting(sK0,sK1)) )
      & ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
      & ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
      & distinct_points(sK2,sK3)
      & distinct_points(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0,X1,X2,X3] :
      ( ( apart_point_and_line(X3,line_connecting(X0,X1))
        | apart_point_and_line(X2,line_connecting(X0,X1)) )
      & ~ apart_point_and_line(X1,line_connecting(X2,X3))
      & ~ apart_point_and_line(X0,line_connecting(X2,X3))
      & distinct_points(X2,X3)
      & distinct_points(X0,X1) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2,X3] :
      ( ( apart_point_and_line(X3,line_connecting(X0,X1))
        | apart_point_and_line(X2,line_connecting(X0,X1)) )
      & ~ apart_point_and_line(X1,line_connecting(X2,X3))
      & ~ apart_point_and_line(X0,line_connecting(X2,X3))
      & distinct_points(X2,X3)
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( ~ apart_point_and_line(X1,line_connecting(X2,X3))
          & ~ apart_point_and_line(X0,line_connecting(X2,X3))
          & distinct_points(X2,X3)
          & distinct_points(X0,X1) )
       => ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
          & ~ apart_point_and_line(X2,line_connecting(X0,X1)) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X1,X3,X4] :
        ( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
          & ~ apart_point_and_line(X0,line_connecting(X3,X4))
          & distinct_points(X3,X4)
          & distinct_points(X0,X1) )
       => ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
          & ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0,X1,X3,X4] :
      ( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
        & ~ apart_point_and_line(X0,line_connecting(X3,X4))
        & distinct_points(X3,X4)
        & distinct_points(X0,X1) )
     => ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
        & ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nB6GOTN6fR/Vampire---4.8_19727',con) ).

fof(f251,plain,
    ( ! [X0] :
        ( apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0)
        | ~ apart_point_and_line(sK3,X0)
        | ~ distinct_points(sK2,sK3) )
    | ~ spl4_4 ),
    inference(resolution,[],[f90,f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X0,line_connecting(X1,X2))
      | ~ apart_point_and_line(X2,X0)
      | ~ distinct_points(X1,X2) ),
    inference(resolution,[],[f44,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nB6GOTN6fR/Vampire---4.8_19727',ci2) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nB6GOTN6fR/Vampire---4.8_19727',ceq2) ).

fof(f90,plain,
    ( ! [X0] :
        ( ~ distinct_lines(X0,line_connecting(sK2,sK3))
        | apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0) )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl4_4
  <=> ! [X0] :
        ( apart_point_and_line(sK0,X0)
        | ~ distinct_lines(X0,line_connecting(sK2,sK3))
        | apart_point_and_line(sK1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f330,plain,
    ~ spl4_18,
    inference(avatar_contradiction_clause,[],[f329]) ).

fof(f329,plain,
    ( $false
    | ~ spl4_18 ),
    inference(subsumption_resolution,[],[f328,f33]) ).

fof(f33,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f32]) ).

fof(f328,plain,
    ( ~ distinct_points(sK0,sK1)
    | ~ spl4_18 ),
    inference(subsumption_resolution,[],[f325,f43]) ).

fof(f43,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.nB6GOTN6fR/Vampire---4.8_19727',apart1) ).

fof(f325,plain,
    ( distinct_points(sK1,sK1)
    | ~ distinct_points(sK0,sK1)
    | ~ spl4_18 ),
    inference(resolution,[],[f274,f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X2,X1))
      | distinct_points(X0,X1)
      | ~ distinct_points(X2,X1) ),
    inference(resolution,[],[f40,f38]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X2,X1)
      | distinct_points(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X2,X1)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nB6GOTN6fR/Vampire---4.8_19727',ceq1) ).

fof(f274,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f307,plain,
    ~ spl4_17,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | ~ spl4_17 ),
    inference(subsumption_resolution,[],[f305,f33]) ).

fof(f305,plain,
    ( ~ distinct_points(sK0,sK1)
    | ~ spl4_17 ),
    inference(subsumption_resolution,[],[f299,f43]) ).

fof(f299,plain,
    ( distinct_points(sK0,sK0)
    | ~ distinct_points(sK0,sK1)
    | ~ spl4_17 ),
    inference(resolution,[],[f270,f57]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X1,X2))
      | distinct_points(X0,X1)
      | ~ distinct_points(X1,X2) ),
    inference(resolution,[],[f40,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nB6GOTN6fR/Vampire---4.8_19727',ci1) ).

fof(f270,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f275,plain,
    ( spl4_17
    | spl4_18
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f260,f89,f46,f272,f268]) ).

fof(f46,plain,
    ( spl4_1
  <=> apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f260,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(resolution,[],[f252,f48]) ).

fof(f48,plain,
    ( apart_point_and_line(sK2,line_connecting(sK0,sK1))
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f252,plain,
    ( ! [X0] :
        ( ~ apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK1,X0)
        | apart_point_and_line(sK0,X0) )
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f250,f34]) ).

fof(f250,plain,
    ( ! [X0] :
        ( apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0)
        | ~ apart_point_and_line(sK2,X0)
        | ~ distinct_points(sK2,sK3) )
    | ~ spl4_4 ),
    inference(resolution,[],[f90,f64]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X0,line_connecting(X1,X2))
      | ~ apart_point_and_line(X1,X0)
      | ~ distinct_points(X1,X2) ),
    inference(resolution,[],[f44,f39]) ).

fof(f119,plain,
    spl4_4,
    inference(avatar_split_clause,[],[f118,f89]) ).

fof(f118,plain,
    ! [X0] :
      ( apart_point_and_line(sK1,X0)
      | apart_point_and_line(sK0,X0)
      | ~ distinct_lines(X0,line_connecting(sK2,sK3)) ),
    inference(subsumption_resolution,[],[f110,f33]) ).

fof(f110,plain,
    ! [X0] :
      ( apart_point_and_line(sK1,X0)
      | apart_point_and_line(sK0,X0)
      | ~ distinct_lines(X0,line_connecting(sK2,sK3))
      | ~ distinct_points(sK0,sK1) ),
    inference(resolution,[],[f66,f35]) ).

fof(f35,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK2,sK3)),
    inference(cnf_transformation,[],[f32]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( apart_point_and_line(X1,line_connecting(sK2,sK3))
      | apart_point_and_line(sK1,X0)
      | apart_point_and_line(X1,X0)
      | ~ distinct_lines(X0,line_connecting(sK2,sK3))
      | ~ distinct_points(X1,sK1) ),
    inference(resolution,[],[f41,f36]) ).

fof(f36,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK2,sK3)),
    inference(cnf_transformation,[],[f32]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X3,X4] :
      ( ( distinct_lines(X3,X4)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X3)
        | apart_point_and_line(X0,X4)
        | apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nB6GOTN6fR/Vampire---4.8_19727',cu1) ).

fof(f53,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f37,f50,f46]) ).

fof(f37,plain,
    ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
    | apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
    inference(cnf_transformation,[],[f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15  % 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 : 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
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:58:41 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.nB6GOTN6fR/Vampire---4.8_19727
% 0.56/0.74  % (19950)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)
% 0.56/0.74  % (19957)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)
% 0.56/0.74  % (19957)Refutation not found, incomplete strategy% (19957)------------------------------
% 0.56/0.74  % (19957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (19957)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (19957)Memory used [KB]: 976
% 0.56/0.74  % (19957)Time elapsed: 0.003 s
% 0.56/0.74  % (19957)Instructions burned: 2 (million)
% 0.56/0.74  % (19957)------------------------------
% 0.56/0.74  % (19957)------------------------------
% 0.56/0.74  % (19954)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)
% 0.56/0.74  % (19953)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)
% 0.56/0.74  % (19952)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (19955)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)
% 0.56/0.74  % (19956)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)
% 0.56/0.74  % (19951)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)
% 0.56/0.75  % (19953)Refutation not found, incomplete strategy% (19953)------------------------------
% 0.56/0.75  % (19953)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (19953)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (19953)Memory used [KB]: 983
% 0.56/0.75  % (19950)First to succeed.
% 0.56/0.75  % (19953)Time elapsed: 0.007 s
% 0.56/0.75  % (19953)Instructions burned: 4 (million)
% 0.56/0.75  % (19953)------------------------------
% 0.56/0.75  % (19953)------------------------------
% 0.56/0.75  % (19950)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (19950)------------------------------
% 0.56/0.75  % (19950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (19950)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (19950)Memory used [KB]: 1151
% 0.56/0.75  % (19950)Time elapsed: 0.008 s
% 0.56/0.75  % (19950)Instructions burned: 20 (million)
% 0.56/0.75  % (19950)------------------------------
% 0.56/0.75  % (19950)------------------------------
% 0.56/0.75  % (19936)Success in time 0.384 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------