TSTP Solution File: LCL456+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL456+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 : n020.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 03:13:23 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   79 (  21 unt;   0 def)
%            Number of atoms       :  165 (  25 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  155 (  69   ~;  64   |;   0   &)
%                                         (  15 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   21 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   83 (  79   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f546,plain,
    $false,
    inference(avatar_sat_refutation,[],[f173,f278,f286,f294,f302,f310,f319,f320,f323,f337,f338,f340,f545]) ).

fof(f545,plain,
    ( ~ spl2_6
    | spl2_31
    | ~ spl2_34
    | ~ spl2_36
    | ~ spl2_38
    | ~ spl2_40 ),
    inference(avatar_contradiction_clause,[],[f540]) ).

fof(f540,plain,
    ( $false
    | ~ spl2_6
    | spl2_31
    | ~ spl2_34
    | ~ spl2_36
    | ~ spl2_38
    | ~ spl2_40 ),
    inference(resolution,[],[f512,f273]) ).

fof(f273,plain,
    ( ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0)))
    | spl2_31 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl2_31
  <=> is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f512,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
    | ~ spl2_6
    | ~ spl2_34
    | ~ spl2_36
    | ~ spl2_38
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f511,f451]) ).

fof(f451,plain,
    ( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
    | ~ spl2_34
    | ~ spl2_38 ),
    inference(superposition,[],[f285,f301]) ).

fof(f301,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ spl2_38 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f300,plain,
    ( spl2_38
  <=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f285,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ spl2_34 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl2_34
  <=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f511,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),X0),or(X0,X1)))
    | ~ spl2_6
    | ~ spl2_34
    | ~ spl2_36
    | ~ spl2_38
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f510,f467]) ).

fof(f467,plain,
    ( ! [X2,X0,X1] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2)
    | ~ spl2_34
    | ~ spl2_38 ),
    inference(forward_demodulation,[],[f445,f301]) ).

fof(f445,plain,
    ( ! [X2,X0,X1] : or(and(X0,not(X1)),X2) = not(and(implies(X0,X1),not(X2)))
    | ~ spl2_34
    | ~ spl2_38 ),
    inference(superposition,[],[f285,f301]) ).

fof(f510,plain,
    ( ! [X0,X1] : is_a_theorem(or(and(not(X1),not(X0)),or(X0,X1)))
    | ~ spl2_6
    | ~ spl2_34
    | ~ spl2_36
    | ~ spl2_38
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f489,f380]) ).

fof(f380,plain,
    ( ! [X2,X0,X1] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2)
    | ~ spl2_36
    | ~ spl2_40 ),
    inference(superposition,[],[f309,f341]) ).

fof(f341,plain,
    ( ! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1)))
    | ~ spl2_36
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f293,f309]) ).

fof(f293,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ spl2_36 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl2_36
  <=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f309,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ spl2_40 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl2_40
  <=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f489,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(not(X0))),or(X0,X1)))
    | ~ spl2_6
    | ~ spl2_34
    | ~ spl2_38 ),
    inference(superposition,[],[f172,f451]) ).

fof(f172,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl2_6
  <=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f340,plain,
    ~ spl2_32,
    inference(avatar_split_clause,[],[f149,f275]) ).

fof(f275,plain,
    ( spl2_32
  <=> r3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f149,plain,
    ~ r3,
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ~ r3,
    inference(flattening,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ r3,
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    r3,
    file('/export/starexec/sandbox2/tmp/tmp.jEadAhrmqK/Vampire---4.8_12305',principia_r3) ).

fof(f338,plain,
    spl2_35,
    inference(avatar_split_clause,[],[f147,f288]) ).

fof(f288,plain,
    ( spl2_35
  <=> op_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).

fof(f147,plain,
    op_and,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    op_and,
    file('/export/starexec/sandbox2/tmp/tmp.jEadAhrmqK/Vampire---4.8_12305',principia_op_and) ).

fof(f337,plain,
    spl2_39,
    inference(avatar_split_clause,[],[f146,f304]) ).

fof(f304,plain,
    ( spl2_39
  <=> op_implies_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f146,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/tmp/tmp.jEadAhrmqK/Vampire---4.8_12305',principia_op_implies_or) ).

fof(f323,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f132,f167]) ).

fof(f167,plain,
    ( spl2_5
  <=> modus_tollens ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f132,plain,
    modus_tollens,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    modus_tollens,
    file('/export/starexec/sandbox2/tmp/tmp.jEadAhrmqK/Vampire---4.8_12305',hilbert_modus_tollens) ).

fof(f320,plain,
    spl2_37,
    inference(avatar_split_clause,[],[f129,f296]) ).

fof(f296,plain,
    ( spl2_37
  <=> op_implies_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f129,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/tmp/tmp.jEadAhrmqK/Vampire---4.8_12305',hilbert_op_implies_and) ).

fof(f319,plain,
    spl2_33,
    inference(avatar_split_clause,[],[f128,f280]) ).

fof(f280,plain,
    ( spl2_33
  <=> op_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f128,plain,
    op_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    op_or,
    file('/export/starexec/sandbox2/tmp/tmp.jEadAhrmqK/Vampire---4.8_12305',hilbert_op_or) ).

fof(f310,plain,
    ( ~ spl2_39
    | spl2_40 ),
    inference(avatar_split_clause,[],[f126,f308,f304]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,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.jEadAhrmqK/Vampire---4.8_12305',op_implies_or) ).

fof(f302,plain,
    ( ~ spl2_37
    | spl2_38 ),
    inference(avatar_split_clause,[],[f125,f300,f296]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,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.jEadAhrmqK/Vampire---4.8_12305',op_implies_and) ).

fof(f294,plain,
    ( ~ spl2_35
    | spl2_36 ),
    inference(avatar_split_clause,[],[f124,f292,f288]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( and(X0,X1) = not(or(not(X0),not(X1)))
      | ~ op_and ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,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.jEadAhrmqK/Vampire---4.8_12305',op_and) ).

fof(f286,plain,
    ( ~ spl2_33
    | spl2_34 ),
    inference(avatar_split_clause,[],[f123,f284,f280]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,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.jEadAhrmqK/Vampire---4.8_12305',op_or) ).

fof(f278,plain,
    ( ~ spl2_31
    | spl2_32 ),
    inference(avatar_split_clause,[],[f122,f275,f271]) ).

fof(f122,plain,
    ( r3
    | ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( r3
    | ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f99,f105]) ).

fof(f105,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(or(X0,X1),or(X1,X0)))
   => ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ( r3
    | ? [X0,X1] : ~ is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
   => r3 ),
    inference(unused_predicate_definition_removal,[],[f63]) ).

fof(f63,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.jEadAhrmqK/Vampire---4.8_12305',r3) ).

fof(f173,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f109,f171,f167]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
      | ~ modus_tollens ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
    | ~ modus_tollens ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ( modus_tollens
   => ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f3,axiom,
    ( modus_tollens
  <=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.jEadAhrmqK/Vampire---4.8_12305',modus_tollens) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LCL456+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11  % 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
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 16:39:32 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  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.jEadAhrmqK/Vampire---4.8_12305
% 0.60/0.78  % (12422)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)
% 0.60/0.78  % (12418)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)
% 0.60/0.78  % (12421)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)
% 0.60/0.78  % (12423)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)
% 0.60/0.78  % (12424)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)
% 0.60/0.78  % (12425)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)
% 0.60/0.78  % (12419)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)
% 0.60/0.79  % (12420)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (12425)Refutation not found, incomplete strategy% (12425)------------------------------
% 0.60/0.79  % (12425)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12418)Refutation not found, incomplete strategy% (12418)------------------------------
% 0.60/0.79  % (12418)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12421)Refutation not found, incomplete strategy% (12421)------------------------------
% 0.60/0.79  % (12421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12423)Refutation not found, incomplete strategy% (12423)------------------------------
% 0.60/0.79  % (12423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12418)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12421)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  % (12423)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  % (12424)Refutation not found, incomplete strategy% (12424)------------------------------
% 0.60/0.79  % (12424)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  % (12418)Memory used [KB]: 985
% 0.60/0.79  % (12424)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12421)Memory used [KB]: 985
% 0.60/0.79  % (12418)Time elapsed: 0.003 s
% 0.60/0.79  % (12423)Memory used [KB]: 985
% 0.60/0.79  % (12424)Memory used [KB]: 985
% 0.60/0.79  % (12421)Time elapsed: 0.002 s
% 0.60/0.79  % (12423)Time elapsed: 0.002 s
% 0.60/0.79  % (12418)Instructions burned: 2 (million)
% 0.60/0.79  % (12424)Time elapsed: 0.002 s
% 0.60/0.79  % (12418)------------------------------
% 0.60/0.79  % (12418)------------------------------
% 0.60/0.79  % (12421)Instructions burned: 2 (million)
% 0.60/0.79  % (12423)Instructions burned: 2 (million)
% 0.60/0.79  % (12424)Instructions burned: 2 (million)
% 0.60/0.79  % (12421)------------------------------
% 0.60/0.79  % (12421)------------------------------
% 0.60/0.79  % (12423)------------------------------
% 0.60/0.79  % (12423)------------------------------
% 0.60/0.79  % (12424)------------------------------
% 0.60/0.79  % (12424)------------------------------
% 0.60/0.79  % (12425)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12425)Memory used [KB]: 985
% 0.60/0.79  % (12425)Time elapsed: 0.002 s
% 0.60/0.79  % (12425)Instructions burned: 2 (million)
% 0.60/0.79  % (12420)Refutation not found, incomplete strategy% (12420)------------------------------
% 0.60/0.79  % (12420)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12420)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12420)Memory used [KB]: 985
% 0.60/0.79  % (12420)Time elapsed: 0.002 s
% 0.60/0.79  % (12420)Instructions burned: 2 (million)
% 0.60/0.79  % (12420)------------------------------
% 0.60/0.79  % (12420)------------------------------
% 0.60/0.79  % (12425)------------------------------
% 0.60/0.79  % (12425)------------------------------
% 0.60/0.79  % (12422)Refutation not found, incomplete strategy% (12422)------------------------------
% 0.60/0.79  % (12422)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12422)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12422)Memory used [KB]: 1072
% 0.60/0.79  % (12422)Time elapsed: 0.003 s
% 0.60/0.79  % (12422)Instructions burned: 3 (million)
% 0.60/0.79  % (12422)------------------------------
% 0.60/0.79  % (12422)------------------------------
% 0.60/0.79  % (12427)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)
% 0.60/0.79  % (12426)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)
% 0.60/0.79  % (12428)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)
% 0.60/0.79  % (12430)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)
% 0.60/0.79  % (12429)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)
% 0.60/0.79  % (12431)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)
% 0.60/0.79  % (12428)Refutation not found, incomplete strategy% (12428)------------------------------
% 0.60/0.79  % (12428)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12428)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12432)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)
% 0.60/0.79  % (12428)Memory used [KB]: 985
% 0.60/0.79  % (12428)Time elapsed: 0.002 s
% 0.60/0.79  % (12428)Instructions burned: 2 (million)
% 0.60/0.79  % (12428)------------------------------
% 0.60/0.79  % (12428)------------------------------
% 0.60/0.79  % (12430)Refutation not found, incomplete strategy% (12430)------------------------------
% 0.60/0.79  % (12430)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12430)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12430)Memory used [KB]: 987
% 0.60/0.79  % (12430)Time elapsed: 0.002 s
% 0.60/0.79  % (12430)Instructions burned: 2 (million)
% 0.60/0.79  % (12430)------------------------------
% 0.60/0.79  % (12430)------------------------------
% 0.60/0.79  % (12432)Refutation not found, incomplete strategy% (12432)------------------------------
% 0.60/0.79  % (12432)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12432)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12432)Memory used [KB]: 986
% 0.60/0.79  % (12432)Time elapsed: 0.002 s
% 0.60/0.79  % (12432)Instructions burned: 2 (million)
% 0.60/0.79  % (12432)------------------------------
% 0.60/0.79  % (12432)------------------------------
% 0.60/0.79  % (12431)Refutation not found, incomplete strategy% (12431)------------------------------
% 0.60/0.79  % (12431)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12431)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (12431)Memory used [KB]: 1073
% 0.60/0.79  % (12431)Time elapsed: 0.003 s
% 0.60/0.79  % (12431)Instructions burned: 3 (million)
% 0.60/0.79  % (12431)------------------------------
% 0.60/0.79  % (12431)------------------------------
% 0.60/0.79  % (12419)First to succeed.
% 0.60/0.79  % (12427)Also succeeded, but the first one will report.
% 0.60/0.79  % (12433)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.79  % (12419)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (12419)------------------------------
% 0.60/0.79  % (12419)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12419)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (12419)Memory used [KB]: 1252
% 0.60/0.79  % (12419)Time elapsed: 0.009 s
% 0.60/0.79  % (12419)Instructions burned: 14 (million)
% 0.60/0.79  % (12419)------------------------------
% 0.60/0.79  % (12419)------------------------------
% 0.60/0.79  % (12415)Success in time 0.478 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------