TSTP Solution File: LCL488+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL488+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 : n012.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 03:13:36 EDT 2024

% Result   : Theorem 0.66s 0.80s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  103 (  27 unt;   0 def)
%            Number of atoms       :  230 (  24 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  224 (  97   ~;  92   |;   2   &)
%                                         (  22 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   27 (  25 usr;  25 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :  110 ( 106   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f404,plain,
    $false,
    inference(avatar_sat_refutation,[],[f117,f134,f150,f158,f182,f190,f198,f206,f215,f216,f218,f220,f221,f225,f226,f228,f403]) ).

fof(f403,plain,
    ( ~ spl2_2
    | spl2_5
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_18
    | ~ spl2_20
    | ~ spl2_22
    | ~ spl2_24 ),
    inference(avatar_contradiction_clause,[],[f400]) ).

fof(f400,plain,
    ( $false
    | ~ spl2_2
    | spl2_5
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_18
    | ~ spl2_20
    | ~ spl2_22
    | ~ spl2_24 ),
    inference(resolution,[],[f395,f129]) ).

fof(f129,plain,
    ( ~ is_a_theorem(implies(and(sK0,sK1),sK1))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl2_5
  <=> is_a_theorem(implies(and(sK0,sK1),sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f395,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
    | ~ spl2_2
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_18
    | ~ spl2_20
    | ~ spl2_22
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f389,f350]) ).

fof(f350,plain,
    ( ! [X2,X0,X1] : or(implies(X0,not(X1)),X2) = implies(and(X0,X1),X2)
    | ~ spl2_18
    | ~ spl2_20
    | ~ spl2_22
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f327,f197]) ).

fof(f197,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl2_22
  <=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f327,plain,
    ( ! [X2,X0,X1] : or(implies(X0,not(X1)),X2) = not(and(and(X0,X1),not(X2)))
    | ~ spl2_18
    | ~ spl2_20
    | ~ spl2_24 ),
    inference(superposition,[],[f181,f229]) ).

fof(f229,plain,
    ( ! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1)))
    | ~ spl2_20
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f189,f205]) ).

fof(f205,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl2_24
  <=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f189,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f188,plain,
    ( spl2_20
  <=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f181,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl2_18
  <=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f389,plain,
    ( ! [X0,X1] : is_a_theorem(or(implies(X0,not(X1)),X1))
    | ~ spl2_2
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_18
    | ~ spl2_22
    | ~ spl2_24 ),
    inference(resolution,[],[f379,f233]) ).

fof(f233,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(or(X0,X1))
        | is_a_theorem(or(X1,X0)) )
    | ~ spl2_2
    | ~ spl2_12 ),
    inference(resolution,[],[f157,f116]) ).

fof(f116,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl2_2
  <=> ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f157,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl2_12
  <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f379,plain,
    ( ! [X0,X1] : is_a_theorem(or(X0,implies(X1,not(X0))))
    | ~ spl2_10
    | ~ spl2_18
    | ~ spl2_22
    | ~ spl2_24 ),
    inference(superposition,[],[f239,f331]) ).

fof(f331,plain,
    ( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
    | ~ spl2_18
    | ~ spl2_22 ),
    inference(superposition,[],[f181,f197]) ).

fof(f239,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X1)))
    | ~ spl2_10
    | ~ spl2_24 ),
    inference(superposition,[],[f149,f205]) ).

fof(f149,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl2_10
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f228,plain,
    ~ spl2_6,
    inference(avatar_split_clause,[],[f109,f131]) ).

fof(f131,plain,
    ( spl2_6
  <=> and_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f109,plain,
    ~ and_2,
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ~ and_2,
    inference(flattening,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ and_2,
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    and_2,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',hilbert_and_2) ).

fof(f226,plain,
    spl2_21,
    inference(avatar_split_clause,[],[f107,f192]) ).

fof(f192,plain,
    ( spl2_21
  <=> op_implies_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f107,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',hilbert_op_implies_and) ).

fof(f225,plain,
    spl2_17,
    inference(avatar_split_clause,[],[f106,f176]) ).

fof(f176,plain,
    ( spl2_17
  <=> op_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f106,plain,
    op_or,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    op_or,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',hilbert_op_or) ).

fof(f221,plain,
    spl2_11,
    inference(avatar_split_clause,[],[f102,f152]) ).

fof(f152,plain,
    ( spl2_11
  <=> r3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f102,plain,
    r3,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    r3,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',principia_r3) ).

fof(f220,plain,
    spl2_9,
    inference(avatar_split_clause,[],[f101,f144]) ).

fof(f144,plain,
    ( spl2_9
  <=> r2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f101,plain,
    r2,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    r2,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',principia_r2) ).

fof(f218,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f99,f111]) ).

fof(f111,plain,
    ( spl2_1
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f99,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',principia_modus_ponens) ).

fof(f216,plain,
    spl2_19,
    inference(avatar_split_clause,[],[f97,f184]) ).

fof(f184,plain,
    ( spl2_19
  <=> op_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f97,plain,
    op_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_and,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',principia_op_and) ).

fof(f215,plain,
    spl2_23,
    inference(avatar_split_clause,[],[f96,f200]) ).

fof(f200,plain,
    ( spl2_23
  <=> op_implies_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f96,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',principia_op_implies_or) ).

fof(f206,plain,
    ( ~ spl2_23
    | spl2_24 ),
    inference(avatar_split_clause,[],[f94,f204,f200]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ op_implies_or ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',op_implies_or) ).

fof(f198,plain,
    ( ~ spl2_21
    | spl2_22 ),
    inference(avatar_split_clause,[],[f93,f196,f192]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',op_implies_and) ).

fof(f190,plain,
    ( ~ spl2_19
    | spl2_20 ),
    inference(avatar_split_clause,[],[f92,f188,f184]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( and(X0,X1) = not(or(not(X0),not(X1)))
      | ~ op_and ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ op_and ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( op_and
   => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',op_and) ).

fof(f182,plain,
    ( ~ spl2_17
    | spl2_18 ),
    inference(avatar_split_clause,[],[f91,f180,f176]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ op_or ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( op_or
   => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',op_or) ).

fof(f158,plain,
    ( ~ spl2_11
    | spl2_12 ),
    inference(avatar_split_clause,[],[f88,f156,f152]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
      | ~ r3 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
    | ~ r3 ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ( r3
   => ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,plain,
    ( r3
  <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ( r3
  <=> ! [X3,X4] : is_a_theorem(implies(or(X3,X4),or(X4,X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',r3) ).

fof(f150,plain,
    ( ~ spl2_9
    | spl2_10 ),
    inference(avatar_split_clause,[],[f87,f148,f144]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,or(X0,X1)))
      | ~ r2 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ r2 ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ( r2
   => ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f54,plain,
    ( r2
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( r2
  <=> ! [X3,X4] : is_a_theorem(implies(X4,or(X3,X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',r2) ).

fof(f134,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f85,f131,f127]) ).

fof(f85,plain,
    ( and_2
    | ~ is_a_theorem(implies(and(sK0,sK1),sK1)) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( and_2
    | ~ is_a_theorem(implies(and(sK0,sK1),sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f70,f81]) ).

fof(f81,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X1))
   => ~ is_a_theorem(implies(and(sK0,sK1),sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ( and_2
    | ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X1)) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
   => and_2 ),
    inference(unused_predicate_definition_removal,[],[f8]) ).

fof(f8,axiom,
    ( and_2
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',and_2) ).

fof(f117,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f83,f115,f111]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ( modus_ponens
  <=> ! [X0,X1] :
        ( ( is_a_theorem(implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.5loCDqNx28/Vampire---4.8_4253',modus_ponens) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : LCL488+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.11  % 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
% 0.11/0.31  % Computer : n012.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 16:31:41 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.5loCDqNx28/Vampire---4.8_4253
% 0.60/0.80  % (4366)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (4367)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)
% 0.60/0.80  % (4364)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)
% 0.60/0.80  % (4368)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)
% 0.60/0.80  % (4369)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80  % (4365)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)
% 0.60/0.80  % (4370)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)
% 0.60/0.80  % (4364)Refutation not found, incomplete strategy% (4364)------------------------------
% 0.60/0.80  % (4364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4366)Refutation not found, incomplete strategy% (4366)------------------------------
% 0.60/0.80  % (4366)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4367)Refutation not found, incomplete strategy% (4367)------------------------------
% 0.60/0.80  % (4367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4366)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  % (4367)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  
% 0.60/0.80  % (4367)Memory used [KB]: 985
% 0.60/0.80  % (4366)Memory used [KB]: 984
% 0.60/0.80  % (4367)Time elapsed: 0.002 s
% 0.60/0.80  % (4366)Time elapsed: 0.002 s
% 0.60/0.80  % (4367)Instructions burned: 2 (million)
% 0.60/0.80  % (4366)Instructions burned: 2 (million)
% 0.60/0.80  % (4367)------------------------------
% 0.60/0.80  % (4367)------------------------------
% 0.60/0.80  % (4366)------------------------------
% 0.60/0.80  % (4366)------------------------------
% 0.60/0.80  % (4371)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)
% 0.60/0.80  % (4364)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4364)Memory used [KB]: 985
% 0.60/0.80  % (4364)Time elapsed: 0.003 s
% 0.60/0.80  % (4364)Instructions burned: 2 (million)
% 0.60/0.80  % (4364)------------------------------
% 0.60/0.80  % (4364)------------------------------
% 0.60/0.80  % (4370)Refutation not found, incomplete strategy% (4370)------------------------------
% 0.60/0.80  % (4370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4370)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4370)Memory used [KB]: 985
% 0.60/0.80  % (4370)Time elapsed: 0.002 s
% 0.60/0.80  % (4370)Instructions burned: 2 (million)
% 0.60/0.80  % (4370)------------------------------
% 0.60/0.80  % (4370)------------------------------
% 0.60/0.80  % (4371)Refutation not found, incomplete strategy% (4371)------------------------------
% 0.60/0.80  % (4371)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4371)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4368)Refutation not found, incomplete strategy% (4368)------------------------------
% 0.60/0.80  % (4368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4371)Memory used [KB]: 984
% 0.60/0.80  % (4371)Time elapsed: 0.002 s
% 0.60/0.80  % (4371)Instructions burned: 2 (million)
% 0.60/0.80  % (4371)------------------------------
% 0.60/0.80  % (4371)------------------------------
% 0.60/0.80  % (4368)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4368)Memory used [KB]: 1068
% 0.60/0.80  % (4368)Time elapsed: 0.003 s
% 0.60/0.80  % (4368)Instructions burned: 3 (million)
% 0.60/0.80  % (4368)------------------------------
% 0.60/0.80  % (4368)------------------------------
% 0.60/0.80  % (4369)Refutation not found, incomplete strategy% (4369)------------------------------
% 0.60/0.80  % (4369)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4369)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4369)Memory used [KB]: 984
% 0.60/0.80  % (4369)Time elapsed: 0.003 s
% 0.60/0.80  % (4369)Instructions burned: 2 (million)
% 0.60/0.80  % (4369)------------------------------
% 0.60/0.80  % (4369)------------------------------
% 0.60/0.80  % (4372)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 (2995ds/55Mi)
% 0.60/0.80  % (4374)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.80  % (4373)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.80  % (4376)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.80  % (4375)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.80  % (4377)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.80  % (4376)Refutation not found, incomplete strategy% (4376)------------------------------
% 0.60/0.80  % (4376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4376)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  % (4374)Refutation not found, incomplete strategy% (4374)------------------------------
% 0.60/0.80  % (4374)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4374)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4374)Memory used [KB]: 984
% 0.60/0.80  % (4374)Time elapsed: 0.002 s
% 0.60/0.80  % (4374)Instructions burned: 2 (million)
% 0.60/0.80  % (4374)------------------------------
% 0.60/0.80  % (4374)------------------------------
% 0.60/0.80  
% 0.60/0.80  % (4376)Memory used [KB]: 986
% 0.60/0.80  % (4376)Time elapsed: 0.002 s
% 0.60/0.80  % (4376)Instructions burned: 2 (million)
% 0.60/0.80  % (4376)------------------------------
% 0.60/0.80  % (4376)------------------------------
% 0.60/0.80  % (4378)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.80  % (4365)First to succeed.
% 0.60/0.80  % (4377)Refutation not found, incomplete strategy% (4377)------------------------------
% 0.60/0.80  % (4377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4377)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4378)Refutation not found, incomplete strategy% (4378)------------------------------
% 0.60/0.80  % (4378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (4378)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4378)Memory used [KB]: 985
% 0.60/0.80  % (4378)Time elapsed: 0.002 s
% 0.60/0.80  % (4378)Instructions burned: 2 (million)
% 0.60/0.80  % (4378)------------------------------
% 0.60/0.80  % (4378)------------------------------
% 0.60/0.80  % (4377)Memory used [KB]: 1069
% 0.60/0.80  % (4377)Time elapsed: 0.003 s
% 0.60/0.80  % (4377)Instructions burned: 3 (million)
% 0.60/0.80  % (4377)------------------------------
% 0.60/0.80  % (4377)------------------------------
% 0.66/0.80  % (4365)Refutation found. Thanks to Tanya!
% 0.66/0.80  % SZS status Theorem for Vampire---4
% 0.66/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.80  % (4365)------------------------------
% 0.66/0.80  % (4365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.80  % (4365)Termination reason: Refutation
% 0.66/0.80  
% 0.66/0.80  % (4365)Memory used [KB]: 1220
% 0.66/0.80  % (4365)Time elapsed: 0.009 s
% 0.66/0.80  % (4365)Instructions burned: 12 (million)
% 0.66/0.80  % (4365)------------------------------
% 0.66/0.80  % (4365)------------------------------
% 0.66/0.80  % (4361)Success in time 0.48 s
% 0.66/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------