TSTP Solution File: LCL523+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL523+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 : n003.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 07:36:16 EDT 2024

% Result   : Theorem 0.68s 0.83s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  206 (  49 unt;   0 def)
%            Number of atoms       :  548 (  32 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  631 ( 289   ~; 282   |;   2   &)
%                                         (  40 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   45 (  43 usr;  43 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :  207 ( 205   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1817,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f236,f244,f252,f260,f268,f292,f340,f356,f366,f368,f369,f370,f371,f372,f375,f381,f382,f406,f415,f423,f431,f432,f435,f436,f437,f1450,f1548,f1785,f1816]) ).

fof(f1816,plain,
    ( ~ spl1_2
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_30
    | ~ spl1_42
    | spl1_43
    | ~ spl1_46
    | ~ spl1_70 ),
    inference(avatar_contradiction_clause,[],[f1815]) ).

fof(f1815,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_30
    | ~ spl1_42
    | spl1_43
    | ~ spl1_46
    | ~ spl1_70 ),
    inference(subsumption_resolution,[],[f1804,f540]) ).

fof(f540,plain,
    ( ! [X0] : is_a_theorem(implies(X0,X0))
    | ~ spl1_2
    | ~ spl1_8
    | ~ spl1_10 ),
    inference(resolution,[],[f468,f251]) ).

fof(f251,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl1_8
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f468,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl1_2
    | ~ spl1_10 ),
    inference(resolution,[],[f259,f227]) ).

fof(f227,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl1_2
  <=> ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f259,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl1_10
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f1804,plain,
    ( ~ is_a_theorem(implies(necessarily(sK0),necessarily(sK0)))
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_42
    | spl1_43
    | ~ spl1_46
    | ~ spl1_70 ),
    inference(backward_demodulation,[],[f410,f1801]) ).

fof(f1801,plain,
    ( ! [X0] : necessarily(X0) = necessarily(necessarily(X0))
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_42
    | ~ spl1_46
    | ~ spl1_70 ),
    inference(superposition,[],[f1076,f1784]) ).

fof(f1784,plain,
    ( ! [X1] : necessarily(X1) = possibly(necessarily(X1))
    | ~ spl1_70 ),
    inference(avatar_component_clause,[],[f1783]) ).

fof(f1783,plain,
    ( spl1_70
  <=> ! [X1] : necessarily(X1) = possibly(necessarily(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).

fof(f1076,plain,
    ( ! [X0] : possibly(X0) = necessarily(possibly(X0))
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_42
    | ~ spl1_46 ),
    inference(resolution,[],[f1024,f235]) ).

fof(f235,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(equiv(X0,X1))
        | X0 = X1 )
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl1_4
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f1024,plain,
    ( ! [X0] : is_a_theorem(equiv(necessarily(possibly(X0)),possibly(X0)))
    | ~ spl1_2
    | ~ spl1_30
    | ~ spl1_42
    | ~ spl1_46 ),
    inference(subsumption_resolution,[],[f1013,f405]) ).

fof(f405,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
    | ~ spl1_42 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl1_42
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(implies(necessarily(possibly(X0)),possibly(X0)))
        | is_a_theorem(equiv(necessarily(possibly(X0)),possibly(X0))) )
    | ~ spl1_2
    | ~ spl1_30
    | ~ spl1_46 ),
    inference(resolution,[],[f619,f422]) ).

fof(f422,plain,
    ( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
    | ~ spl1_46 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f421,plain,
    ( spl1_46
  <=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).

fof(f619,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(equiv(X0,X1)) )
    | ~ spl1_2
    | ~ spl1_30 ),
    inference(resolution,[],[f510,f227]) ).

fof(f510,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(implies(X1,X0),equiv(X0,X1)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl1_2
    | ~ spl1_30 ),
    inference(resolution,[],[f339,f227]) ).

fof(f339,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
    | ~ spl1_30 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl1_30
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).

fof(f410,plain,
    ( ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0))))
    | spl1_43 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl1_43
  <=> is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).

fof(f1785,plain,
    ( spl1_56
    | spl1_70
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_42
    | ~ spl1_46
    | ~ spl1_48
    | ~ spl1_60 ),
    inference(avatar_split_clause,[],[f1765,f1448,f429,f421,f404,f354,f338,f266,f258,f250,f242,f234,f226,f1783,f1257]) ).

fof(f1257,plain,
    ( spl1_56
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).

fof(f242,plain,
    ( spl1_6
  <=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f266,plain,
    ( spl1_12
  <=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

fof(f354,plain,
    ( spl1_34
  <=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).

fof(f429,plain,
    ( spl1_48
  <=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).

fof(f1448,plain,
    ( spl1_60
  <=> ! [X0] : is_a_theorem(not(and(not(X0),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).

fof(f1765,plain,
    ( ! [X0,X1] :
        ( necessarily(X1) = possibly(necessarily(X1))
        | ~ is_a_theorem(X0) )
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_42
    | ~ spl1_46
    | ~ spl1_48
    | ~ spl1_60 ),
    inference(superposition,[],[f1687,f1278]) ).

fof(f1278,plain,
    ( ! [X0,X1] :
        ( implies(X0,X1) = X1
        | ~ is_a_theorem(X0) )
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_30 ),
    inference(resolution,[],[f1018,f235]) ).

fof(f1018,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(equiv(X0,implies(X1,X0)))
        | ~ is_a_theorem(X1) )
    | ~ spl1_2
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_30 ),
    inference(subsumption_resolution,[],[f984,f251]) ).

fof(f984,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X1,X0)))
        | is_a_theorem(equiv(X0,implies(X1,X0)))
        | ~ is_a_theorem(X1) )
    | ~ spl1_2
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_30 ),
    inference(resolution,[],[f619,f914]) ).

fof(f914,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(implies(X0,X1),X1))
        | ~ is_a_theorem(X0) )
    | ~ spl1_2
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12 ),
    inference(resolution,[],[f617,f439]) ).

fof(f439,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X0) )
    | ~ spl1_2
    | ~ spl1_8 ),
    inference(resolution,[],[f227,f251]) ).

fof(f617,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X0))
        | is_a_theorem(implies(implies(X0,X1),X1)) )
    | ~ spl1_2
    | ~ spl1_10
    | ~ spl1_12 ),
    inference(resolution,[],[f509,f468]) ).

fof(f509,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl1_2
    | ~ spl1_12 ),
    inference(resolution,[],[f267,f227]) ).

fof(f267,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
    | ~ spl1_12 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f1687,plain,
    ( ! [X0,X1] : necessarily(implies(X0,X1)) = possibly(necessarily(implies(X0,X1)))
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_42
    | ~ spl1_46
    | ~ spl1_48
    | ~ spl1_60 ),
    inference(backward_demodulation,[],[f1118,f1650]) ).

fof(f1650,plain,
    ( ! [X0] : not(not(X0)) = X0
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_60 ),
    inference(resolution,[],[f1647,f235]) ).

fof(f1647,plain,
    ( ! [X0] : is_a_theorem(equiv(not(not(X0)),X0))
    | ~ spl1_2
    | ~ spl1_6
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_60 ),
    inference(subsumption_resolution,[],[f1639,f1579]) ).

fof(f1579,plain,
    ( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
    | ~ spl1_34
    | ~ spl1_60 ),
    inference(superposition,[],[f1449,f355]) ).

fof(f355,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ spl1_34 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1449,plain,
    ( ! [X0] : is_a_theorem(not(and(not(X0),X0)))
    | ~ spl1_60 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f1639,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(implies(not(not(X0)),X0))
        | is_a_theorem(equiv(not(not(X0)),X0)) )
    | ~ spl1_2
    | ~ spl1_6
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_60 ),
    inference(resolution,[],[f1604,f619]) ).

fof(f1604,plain,
    ( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
    | ~ spl1_2
    | ~ spl1_6
    | ~ spl1_34
    | ~ spl1_60 ),
    inference(resolution,[],[f1579,f463]) ).

fof(f463,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),not(X1)))
        | is_a_theorem(implies(X1,X0)) )
    | ~ spl1_2
    | ~ spl1_6 ),
    inference(resolution,[],[f243,f227]) ).

fof(f243,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f1118,plain,
    ( ! [X0,X1] : possibly(necessarily(implies(X0,X1))) = not(not(necessarily(implies(X0,X1))))
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_42
    | ~ spl1_46
    | ~ spl1_48 ),
    inference(forward_demodulation,[],[f1104,f461]) ).

fof(f461,plain,
    ( ! [X0,X1] : possibly(and(X0,not(X1))) = not(necessarily(implies(X0,X1)))
    | ~ spl1_34
    | ~ spl1_48 ),
    inference(superposition,[],[f430,f355]) ).

fof(f430,plain,
    ( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
    | ~ spl1_48 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1104,plain,
    ( ! [X0,X1] : possibly(necessarily(implies(X0,X1))) = not(possibly(and(X0,not(X1))))
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_34
    | ~ spl1_42
    | ~ spl1_46
    | ~ spl1_48 ),
    inference(superposition,[],[f1093,f355]) ).

fof(f1093,plain,
    ( ! [X0] : not(possibly(X0)) = possibly(necessarily(not(X0)))
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_30
    | ~ spl1_42
    | ~ spl1_46
    | ~ spl1_48 ),
    inference(backward_demodulation,[],[f438,f1076]) ).

fof(f438,plain,
    ( ! [X0] : possibly(necessarily(not(X0))) = not(necessarily(possibly(X0)))
    | ~ spl1_48 ),
    inference(superposition,[],[f430,f430]) ).

fof(f1548,plain,
    ( ~ spl1_42
    | ~ spl1_56 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1528,plain,
    ( $false
    | ~ spl1_42
    | ~ spl1_56 ),
    inference(resolution,[],[f1258,f405]) ).

fof(f1258,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl1_56 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1450,plain,
    ( spl1_56
    | spl1_60
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_18
    | ~ spl1_30
    | ~ spl1_34 ),
    inference(avatar_split_clause,[],[f1320,f354,f338,f290,f266,f258,f250,f234,f226,f1448,f1257]) ).

fof(f290,plain,
    ( spl1_18
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).

fof(f1320,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(not(and(not(X0),X0)))
        | ~ is_a_theorem(X1) )
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_18
    | ~ spl1_30
    | ~ spl1_34 ),
    inference(backward_subsumption_demodulation,[],[f623,f1278]) ).

fof(f623,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(not(and(not(X0),implies(X1,X0))))
        | ~ is_a_theorem(X1) )
    | ~ spl1_2
    | ~ spl1_18
    | ~ spl1_34 ),
    inference(superposition,[],[f447,f460]) ).

fof(f460,plain,
    ( ! [X2,X0,X1] : implies(X2,and(X0,not(X1))) = not(and(X2,implies(X0,X1)))
    | ~ spl1_34 ),
    inference(superposition,[],[f355,f355]) ).

fof(f447,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(X1,and(X0,X1)))
        | ~ is_a_theorem(X0) )
    | ~ spl1_2
    | ~ spl1_18 ),
    inference(resolution,[],[f291,f227]) ).

fof(f291,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ spl1_18 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f437,plain,
    spl1_44,
    inference(avatar_split_clause,[],[f220,f412]) ).

fof(f412,plain,
    ( spl1_44
  <=> axiom_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).

fof(f220,plain,
    axiom_4,
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f198,plain,
    ~ axiom_4,
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ axiom_4,
    inference(flattening,[],[f83]) ).

fof(f83,negated_conjecture,
    ~ axiom_4,
    inference(negated_conjecture,[],[f82]) ).

fof(f82,conjecture,
    axiom_4,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',km4b_axiom_4) ).

fof(f436,plain,
    spl1_45,
    inference(avatar_split_clause,[],[f197,f417]) ).

fof(f417,plain,
    ( spl1_45
  <=> axiom_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).

fof(f197,plain,
    axiom_5,
    inference(cnf_transformation,[],[f81]) ).

fof(f81,axiom,
    axiom_5,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',km5_axiom_5) ).

fof(f435,plain,
    spl1_41,
    inference(avatar_split_clause,[],[f196,f400]) ).

fof(f400,plain,
    ( spl1_41
  <=> axiom_M ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).

fof(f196,plain,
    axiom_M,
    inference(cnf_transformation,[],[f80]) ).

fof(f80,axiom,
    axiom_M,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',km5_axiom_M) ).

fof(f432,plain,
    ~ spl1_47,
    inference(avatar_split_clause,[],[f218,f425]) ).

fof(f425,plain,
    ( spl1_47
  <=> op_possibly ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_47])]) ).

fof(f218,plain,
    ~ op_possibly,
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f193,plain,
    op_possibly,
    inference(cnf_transformation,[],[f77]) ).

fof(f77,axiom,
    op_possibly,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',km5_op_possibly) ).

fof(f431,plain,
    ( spl1_47
    | spl1_48 ),
    inference(avatar_split_clause,[],[f217,f429,f425]) ).

fof(f217,plain,
    ! [X0] :
      ( possibly(X0) = not(necessarily(not(X0)))
      | op_possibly ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( possibly(X0) = not(necessarily(not(X0)))
      | ~ op_possibly ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
    | ~ op_possibly ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ( op_possibly
   => ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',op_possibly) ).

fof(f423,plain,
    ( ~ spl1_45
    | spl1_46 ),
    inference(avatar_split_clause,[],[f191,f421,f417]) ).

fof(f191,plain,
    ! [X0] :
      ( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
      | ~ axiom_5 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
    | ~ axiom_5 ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ( axiom_5
   => ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
    inference(unused_predicate_definition_removal,[],[f58]) ).

fof(f58,axiom,
    ( axiom_5
  <=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',axiom_5) ).

fof(f415,plain,
    ( ~ spl1_43
    | ~ spl1_44 ),
    inference(avatar_split_clause,[],[f216,f412,f408]) ).

fof(f216,plain,
    ( ~ axiom_4
    | ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f190,plain,
    ( axiom_4
    | ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( axiom_4
    | ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f146,f149]) ).

fof(f149,plain,
    ( ? [X0] : ~ is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
   => ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ( axiom_4
    | ? [X0] : ~ is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
   => axiom_4 ),
    inference(unused_predicate_definition_removal,[],[f56]) ).

fof(f56,axiom,
    ( axiom_4
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',axiom_4) ).

fof(f406,plain,
    ( ~ spl1_41
    | spl1_42 ),
    inference(avatar_split_clause,[],[f189,f404,f400]) ).

fof(f189,plain,
    ! [X0] :
      ( is_a_theorem(implies(necessarily(X0),X0))
      | ~ axiom_M ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
    | ~ axiom_M ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,plain,
    ( axiom_M
   => ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,axiom,
    ( axiom_M
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',axiom_M) ).

fof(f382,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f186,f230]) ).

fof(f230,plain,
    ( spl1_3
  <=> substitution_of_equivalents ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f186,plain,
    substitution_of_equivalents,
    inference(cnf_transformation,[],[f49]) ).

fof(f49,axiom,
    substitution_of_equivalents,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',substitution_of_equivalents) ).

fof(f381,plain,
    ~ spl1_29,
    inference(avatar_split_clause,[],[f214,f334]) ).

fof(f334,plain,
    ( spl1_29
  <=> equivalence_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).

fof(f214,plain,
    ~ equivalence_3,
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f185,plain,
    equivalence_3,
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    equivalence_3,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_equivalence_3) ).

fof(f375,plain,
    spl1_17,
    inference(avatar_split_clause,[],[f179,f286]) ).

fof(f286,plain,
    ( spl1_17
  <=> and_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).

fof(f179,plain,
    and_3,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    and_3,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_and_3) ).

fof(f372,plain,
    ~ spl1_11,
    inference(avatar_split_clause,[],[f210,f262]) ).

fof(f262,plain,
    ( spl1_11
  <=> implies_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

fof(f210,plain,
    ~ implies_3,
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f176,plain,
    implies_3,
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    implies_3,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_implies_3) ).

fof(f371,plain,
    ~ spl1_9,
    inference(avatar_split_clause,[],[f209,f254]) ).

fof(f254,plain,
    ( spl1_9
  <=> implies_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f209,plain,
    ~ implies_2,
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f175,plain,
    implies_2,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    implies_2,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_implies_2) ).

fof(f370,plain,
    ~ spl1_7,
    inference(avatar_split_clause,[],[f208,f246]) ).

fof(f246,plain,
    ( spl1_7
  <=> implies_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f208,plain,
    ~ implies_1,
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f174,plain,
    implies_1,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    implies_1,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_implies_1) ).

fof(f369,plain,
    spl1_5,
    inference(avatar_split_clause,[],[f173,f238]) ).

fof(f238,plain,
    ( spl1_5
  <=> modus_tollens ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f173,plain,
    modus_tollens,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    modus_tollens,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_modus_tollens) ).

fof(f368,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f172,f222]) ).

fof(f222,plain,
    ( spl1_1
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f172,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_modus_ponens) ).

fof(f366,plain,
    ~ spl1_33,
    inference(avatar_split_clause,[],[f207,f350]) ).

fof(f350,plain,
    ( spl1_33
  <=> op_implies_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).

fof(f207,plain,
    ~ op_implies_and,
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f170,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',hilbert_op_implies_and) ).

fof(f356,plain,
    ( spl1_33
    | spl1_34 ),
    inference(avatar_split_clause,[],[f206,f354,f350]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | op_implies_and ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,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.mu4xFtivxH/Vampire---4.8_30663',op_implies_and) ).

fof(f340,plain,
    ( spl1_29
    | spl1_30 ),
    inference(avatar_split_clause,[],[f205,f338,f334]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
      | equivalence_3 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
      | ~ equivalence_3 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
    | ~ equivalence_3 ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ( equivalence_3
   => ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f15,axiom,
    ( equivalence_3
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',equivalence_3) ).

fof(f292,plain,
    ( ~ spl1_17
    | spl1_18 ),
    inference(avatar_split_clause,[],[f159,f290,f286]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
      | ~ and_3 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ and_3 ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ( and_3
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f9,axiom,
    ( and_3
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',and_3) ).

fof(f268,plain,
    ( spl1_11
    | spl1_12 ),
    inference(avatar_split_clause,[],[f201,f266,f262]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
      | implies_3 ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
      | ~ implies_3 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
    | ~ implies_3 ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,plain,
    ( implies_3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(unused_predicate_definition_removal,[],[f6]) ).

fof(f6,axiom,
    ( implies_3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',implies_3) ).

fof(f260,plain,
    ( spl1_9
    | spl1_10 ),
    inference(avatar_split_clause,[],[f200,f258,f254]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
      | implies_2 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
      | ~ implies_2 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ implies_2 ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,plain,
    ( implies_2
   => ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ( implies_2
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',implies_2) ).

fof(f252,plain,
    ( spl1_7
    | spl1_8 ),
    inference(avatar_split_clause,[],[f199,f250,f246]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X0)))
      | implies_1 ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X0)))
      | ~ implies_1 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ implies_1 ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,plain,
    ( implies_1
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ( implies_1
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',implies_1) ).

fof(f244,plain,
    ( ~ spl1_5
    | spl1_6 ),
    inference(avatar_split_clause,[],[f153,f242,f238]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
      | ~ modus_tollens ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
    | ~ modus_tollens ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,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.mu4xFtivxH/Vampire---4.8_30663',modus_tollens) ).

fof(f236,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f152,f234,f230]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1))
      | ~ substitution_of_equivalents ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X0,X1)) )
    | ~ substitution_of_equivalents ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ( substitution_of_equivalents
   => ! [X0,X1] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ( substitution_of_equivalents
  <=> ! [X0,X1] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mu4xFtivxH/Vampire---4.8_30663',substitution_of_equivalents) ).

fof(f228,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f151,f226,f222]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,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.mu4xFtivxH/Vampire---4.8_30663',modus_ponens) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL523+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14  % 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 : n003.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   : Fri May  3 13:18:51 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ 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.mu4xFtivxH/Vampire---4.8_30663
% 0.57/0.75  % (31034)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)
% 0.57/0.75  % (31034)Refutation not found, incomplete strategy% (31034)------------------------------
% 0.57/0.75  % (31034)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31034)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31034)Memory used [KB]: 1089
% 0.57/0.75  % (31034)Time elapsed: 0.001 s
% 0.57/0.75  % (31034)Instructions burned: 2 (million)
% 0.57/0.75  % (31034)------------------------------
% 0.57/0.75  % (31034)------------------------------
% 0.57/0.75  % (31027)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)
% 0.57/0.75  % (31029)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (31028)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)
% 0.57/0.75  % (31031)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)
% 0.57/0.75  % (31032)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)
% 0.57/0.75  % (31030)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)
% 0.57/0.75  % (31033)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)
% 0.57/0.75  % (31029)Refutation not found, incomplete strategy% (31029)------------------------------
% 0.57/0.75  % (31029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31027)Refutation not found, incomplete strategy% (31027)------------------------------
% 0.57/0.75  % (31027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31027)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31027)Memory used [KB]: 1089
% 0.57/0.75  % (31027)Time elapsed: 0.002 s
% 0.57/0.75  % (31027)Instructions burned: 2 (million)
% 0.57/0.75  % (31029)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (31032)Refutation not found, incomplete strategy% (31032)------------------------------
% 0.57/0.75  % (31032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  
% 0.57/0.75  % (31029)Memory used [KB]: 1088
% 0.57/0.75  % (31029)Time elapsed: 0.002 s
% 0.57/0.75  % (31029)Instructions burned: 2 (million)
% 0.57/0.75  % (31030)Refutation not found, incomplete strategy% (31030)------------------------------
% 0.57/0.75  % (31030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31032)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31032)Memory used [KB]: 1089
% 0.57/0.75  % (31032)Time elapsed: 0.002 s
% 0.57/0.75  % (31032)Instructions burned: 2 (million)
% 0.57/0.75  % (31030)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31030)Memory used [KB]: 1089
% 0.57/0.75  % (31030)Time elapsed: 0.002 s
% 0.57/0.75  % (31030)Instructions burned: 2 (million)
% 0.57/0.75  % (31027)------------------------------
% 0.57/0.75  % (31027)------------------------------
% 0.57/0.75  % (31029)------------------------------
% 0.57/0.75  % (31029)------------------------------
% 0.57/0.75  % (31033)Refutation not found, incomplete strategy% (31033)------------------------------
% 0.57/0.75  % (31033)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31033)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31033)Memory used [KB]: 1089
% 0.57/0.75  % (31033)Time elapsed: 0.002 s
% 0.57/0.75  % (31033)Instructions burned: 2 (million)
% 0.57/0.75  % (31032)------------------------------
% 0.57/0.75  % (31032)------------------------------
% 0.57/0.75  % (31030)------------------------------
% 0.57/0.75  % (31030)------------------------------
% 0.57/0.75  % (31033)------------------------------
% 0.57/0.75  % (31033)------------------------------
% 0.57/0.75  % (31031)Refutation not found, incomplete strategy% (31031)------------------------------
% 0.57/0.75  % (31031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31031)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (31035)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 (2996ds/55Mi)
% 0.57/0.75  
% 0.57/0.75  % (31031)Memory used [KB]: 1112
% 0.57/0.75  % (31031)Time elapsed: 0.003 s
% 0.57/0.75  % (31031)Instructions burned: 4 (million)
% 0.57/0.75  % (31035)Refutation not found, incomplete strategy% (31035)------------------------------
% 0.57/0.75  % (31035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31035)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (31031)------------------------------
% 0.57/0.75  % (31031)------------------------------
% 0.57/0.75  
% 0.57/0.75  % (31035)Memory used [KB]: 1088
% 0.57/0.75  % (31035)Time elapsed: 0.001 s
% 0.57/0.75  % (31035)Instructions burned: 2 (million)
% 0.57/0.75  % (31035)------------------------------
% 0.57/0.75  % (31035)------------------------------
% 0.57/0.75  % (31037)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 (2996ds/50Mi)
% 0.57/0.75  % (31044)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 (2996ds/117Mi)
% 0.57/0.75  % (31038)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 (2996ds/208Mi)
% 0.57/0.75  % (31040)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 (2996ds/518Mi)
% 0.57/0.75  % (31044)Refutation not found, incomplete strategy% (31044)------------------------------
% 0.57/0.75  % (31044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31044)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (31039)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 (2996ds/52Mi)
% 0.57/0.75  
% 0.57/0.75  % (31044)Memory used [KB]: 1089
% 0.57/0.75  % (31044)Time elapsed: 0.001 s
% 0.57/0.75  % (31044)Instructions burned: 2 (million)
% 0.57/0.75  % (31041)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 (2996ds/42Mi)
% 0.57/0.75  % (31044)------------------------------
% 0.57/0.75  % (31044)------------------------------
% 0.57/0.75  % (31038)Refutation not found, incomplete strategy% (31038)------------------------------
% 0.57/0.75  % (31038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31038)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31038)Memory used [KB]: 1089
% 0.57/0.75  % (31038)Time elapsed: 0.003 s
% 0.57/0.75  % (31038)Instructions burned: 2 (million)
% 0.57/0.75  % (31040)Refutation not found, incomplete strategy% (31040)------------------------------
% 0.57/0.75  % (31040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31040)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31040)Memory used [KB]: 1090
% 0.57/0.75  % (31040)Time elapsed: 0.003 s
% 0.57/0.75  % (31040)Instructions burned: 2 (million)
% 0.57/0.75  % (31038)------------------------------
% 0.57/0.75  % (31038)------------------------------
% 0.57/0.75  % (31043)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 (2996ds/243Mi)
% 0.57/0.75  % (31040)------------------------------
% 0.57/0.75  % (31040)------------------------------
% 0.57/0.76  % (31043)Refutation not found, incomplete strategy% (31043)------------------------------
% 0.57/0.76  % (31043)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31043)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31043)Memory used [KB]: 1090
% 0.57/0.76  % (31041)Refutation not found, incomplete strategy% (31041)------------------------------
% 0.57/0.76  % (31041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31043)Time elapsed: 0.002 s
% 0.57/0.76  % (31043)Instructions burned: 2 (million)
% 0.57/0.76  % (31041)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31041)Memory used [KB]: 1112
% 0.57/0.76  % (31041)Time elapsed: 0.003 s
% 0.57/0.76  % (31041)Instructions burned: 3 (million)
% 0.57/0.76  % (31043)------------------------------
% 0.57/0.76  % (31043)------------------------------
% 0.57/0.76  % (31041)------------------------------
% 0.57/0.76  % (31041)------------------------------
% 0.57/0.76  % (31046)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.76  % (31047)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.57/0.76  % (31048)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.57/0.76  % (31050)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.57/0.76  % (31051)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.57/0.76  % (31051)Refutation not found, incomplete strategy% (31051)------------------------------
% 0.57/0.76  % (31051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31051)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31051)Memory used [KB]: 1089
% 0.57/0.76  % (31051)Time elapsed: 0.002 s
% 0.57/0.76  % (31051)Instructions burned: 2 (million)
% 0.57/0.76  % (31050)Refutation not found, incomplete strategy% (31050)------------------------------
% 0.57/0.76  % (31050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31050)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31050)Memory used [KB]: 1086
% 0.57/0.76  % (31050)Time elapsed: 0.003 s
% 0.57/0.76  % (31050)Instructions burned: 2 (million)
% 0.57/0.76  % (31051)------------------------------
% 0.57/0.76  % (31051)------------------------------
% 0.57/0.76  % (31050)------------------------------
% 0.57/0.76  % (31050)------------------------------
% 0.57/0.77  % (31055)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.77  % (31056)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.57/0.77  % (31056)Refutation not found, incomplete strategy% (31056)------------------------------
% 0.57/0.77  % (31056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (31055)Refutation not found, incomplete strategy% (31055)------------------------------
% 0.57/0.77  % (31055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (31055)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (31055)Memory used [KB]: 1089
% 0.57/0.77  % (31055)Time elapsed: 0.003 s
% 0.57/0.77  % (31055)Instructions burned: 2 (million)
% 0.57/0.77  % (31056)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (31056)Memory used [KB]: 1089
% 0.57/0.77  % (31056)Time elapsed: 0.002 s
% 0.57/0.77  % (31056)Instructions burned: 2 (million)
% 0.57/0.77  % (31055)------------------------------
% 0.57/0.77  % (31055)------------------------------
% 0.57/0.77  % (31056)------------------------------
% 0.57/0.77  % (31056)------------------------------
% 0.57/0.77  % (31059)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.57/0.77  % (31060)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.57/0.77  % (31060)Refutation not found, incomplete strategy% (31060)------------------------------
% 0.57/0.77  % (31060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (31060)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (31060)Memory used [KB]: 1089
% 0.57/0.77  % (31060)Time elapsed: 0.002 s
% 0.57/0.77  % (31060)Instructions burned: 2 (million)
% 0.57/0.77  % (31060)------------------------------
% 0.57/0.77  % (31060)------------------------------
% 0.57/0.78  % (31062)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.57/0.78  % (31062)Refutation not found, incomplete strategy% (31062)------------------------------
% 0.57/0.78  % (31062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (31062)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (31062)Memory used [KB]: 1090
% 0.57/0.78  % (31062)Time elapsed: 0.003 s
% 0.57/0.78  % (31062)Instructions burned: 2 (million)
% 0.57/0.78  % (31028)Instruction limit reached!
% 0.57/0.78  % (31028)------------------------------
% 0.57/0.78  % (31028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (31062)------------------------------
% 0.57/0.78  % (31062)------------------------------
% 0.57/0.78  % (31028)Termination reason: Unknown
% 0.57/0.78  % (31028)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (31028)Memory used [KB]: 1863
% 0.57/0.78  % (31028)Time elapsed: 0.034 s
% 0.57/0.78  % (31028)Instructions burned: 51 (million)
% 0.57/0.78  % (31028)------------------------------
% 0.57/0.78  % (31028)------------------------------
% 0.68/0.78  % (31037)Instruction limit reached!
% 0.68/0.78  % (31037)------------------------------
% 0.68/0.78  % (31037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (31037)Termination reason: Unknown
% 0.68/0.78  % (31037)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (31037)Memory used [KB]: 1864
% 0.68/0.78  % (31037)Time elapsed: 0.031 s
% 0.68/0.78  % (31037)Instructions burned: 50 (million)
% 0.68/0.78  % (31037)------------------------------
% 0.68/0.78  % (31037)------------------------------
% 0.68/0.78  % (31064)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.68/0.78  % (31065)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.68/0.78  % (31039)Instruction limit reached!
% 0.68/0.78  % (31039)------------------------------
% 0.68/0.78  % (31039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (31039)Termination reason: Unknown
% 0.68/0.78  % (31039)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (31039)Memory used [KB]: 2106
% 0.68/0.78  % (31039)Time elapsed: 0.033 s
% 0.68/0.78  % (31039)Instructions burned: 52 (million)
% 0.68/0.78  % (31039)------------------------------
% 0.68/0.78  % (31039)------------------------------
% 0.68/0.79  % (31067)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.68/0.79  % (31067)Refutation not found, incomplete strategy% (31067)------------------------------
% 0.68/0.79  % (31067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (31067)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79  
% 0.68/0.79  % (31067)Memory used [KB]: 1088
% 0.68/0.79  % (31067)Time elapsed: 0.002 s
% 0.68/0.79  % (31067)Instructions burned: 2 (million)
% 0.68/0.79  % (31067)------------------------------
% 0.68/0.79  % (31067)------------------------------
% 0.68/0.79  % (31069)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.68/0.79  % (31071)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.68/0.79  % (31048)Instruction limit reached!
% 0.68/0.79  % (31048)------------------------------
% 0.68/0.79  % (31048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (31071)Refutation not found, incomplete strategy% (31071)------------------------------
% 0.68/0.79  % (31071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (31071)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79  
% 0.68/0.79  % (31071)Memory used [KB]: 1089
% 0.68/0.79  % (31071)Time elapsed: 0.003 s
% 0.68/0.79  % (31071)Instructions burned: 2 (million)
% 0.68/0.79  % (31048)Termination reason: Unknown
% 0.68/0.79  % (31048)Termination phase: Saturation
% 0.68/0.79  
% 0.68/0.79  % (31048)Memory used [KB]: 1939
% 0.68/0.79  % (31048)Time elapsed: 0.038 s
% 0.68/0.79  % (31048)Instructions burned: 62 (million)
% 0.68/0.79  % (31048)------------------------------
% 0.68/0.79  % (31048)------------------------------
% 0.68/0.79  % (31071)------------------------------
% 0.68/0.79  % (31071)------------------------------
% 0.68/0.80  % (31072)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.68/0.80  % (31073)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.68/0.80  % (31073)Refutation not found, incomplete strategy% (31073)------------------------------
% 0.68/0.80  % (31073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (31073)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80  
% 0.68/0.80  % (31059)Instruction limit reached!
% 0.68/0.80  % (31059)------------------------------
% 0.68/0.80  % (31059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (31059)Termination reason: Unknown
% 0.68/0.80  % (31059)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (31059)Memory used [KB]: 2567
% 0.68/0.80  % (31059)Time elapsed: 0.031 s
% 0.68/0.80  % (31059)Instructions burned: 46 (million)
% 0.68/0.80  % (31059)------------------------------
% 0.68/0.80  % (31059)------------------------------
% 0.68/0.80  % (31073)Memory used [KB]: 1089
% 0.68/0.80  % (31073)Time elapsed: 0.002 s
% 0.68/0.80  % (31073)Instructions burned: 2 (million)
% 0.68/0.80  % (31073)------------------------------
% 0.68/0.80  % (31073)------------------------------
% 0.68/0.80  % (31046)Instruction limit reached!
% 0.68/0.80  % (31046)------------------------------
% 0.68/0.80  % (31046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (31046)Termination reason: Unknown
% 0.68/0.80  % (31046)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (31046)Memory used [KB]: 2198
% 0.68/0.80  % (31046)Time elapsed: 0.045 s
% 0.68/0.80  % (31046)Instructions burned: 143 (million)
% 0.68/0.80  % (31046)------------------------------
% 0.68/0.80  % (31046)------------------------------
% 0.68/0.80  % (31078)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.68/0.80  % (31078)Refutation not found, incomplete strategy% (31078)------------------------------
% 0.68/0.80  % (31078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (31078)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80  
% 0.68/0.80  % (31078)Memory used [KB]: 1089
% 0.68/0.80  % (31078)Time elapsed: 0.001 s
% 0.68/0.80  % (31078)Instructions burned: 2 (million)
% 0.68/0.80  % (31078)------------------------------
% 0.68/0.80  % (31078)------------------------------
% 0.68/0.80  % (31076)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.68/0.80  % (31077)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.68/0.80  % (31076)Refutation not found, incomplete strategy% (31076)------------------------------
% 0.68/0.80  % (31076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (31076)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80  
% 0.68/0.80  % (31076)Memory used [KB]: 1089
% 0.68/0.80  % (31076)Time elapsed: 0.003 s
% 0.68/0.80  % (31076)Instructions burned: 2 (million)
% 0.68/0.80  % (31076)------------------------------
% 0.68/0.80  % (31076)------------------------------
% 0.68/0.81  % (31080)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.68/0.81  % (31080)Refutation not found, incomplete strategy% (31080)------------------------------
% 0.68/0.81  % (31080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31080)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (31080)Memory used [KB]: 1091
% 0.68/0.81  % (31080)Time elapsed: 0.001 s
% 0.68/0.81  % (31080)Instructions burned: 2 (million)
% 0.68/0.81  % (31080)------------------------------
% 0.68/0.81  % (31080)------------------------------
% 0.68/0.81  % (31081)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.68/0.81  % (31082)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.68/0.81  % (31081)Refutation not found, incomplete strategy% (31081)------------------------------
% 0.68/0.81  % (31081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31081)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (31081)Memory used [KB]: 1089
% 0.68/0.81  % (31081)Time elapsed: 0.003 s
% 0.68/0.81  % (31081)Instructions burned: 2 (million)
% 0.68/0.81  % (31082)Refutation not found, incomplete strategy% (31082)------------------------------
% 0.68/0.81  % (31082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31082)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (31082)Memory used [KB]: 1089
% 0.68/0.81  % (31082)Time elapsed: 0.001 s
% 0.68/0.81  % (31082)Instructions burned: 2 (million)
% 0.68/0.81  % (31081)------------------------------
% 0.68/0.81  % (31081)------------------------------
% 0.68/0.81  % (31082)------------------------------
% 0.68/0.81  % (31082)------------------------------
% 0.68/0.81  % (31047)Instruction limit reached!
% 0.68/0.81  % (31047)------------------------------
% 0.68/0.81  % (31047)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31047)Termination reason: Unknown
% 0.68/0.81  % (31047)Termination phase: Saturation
% 0.68/0.81  
% 0.68/0.81  % (31047)Memory used [KB]: 2418
% 0.68/0.81  % (31047)Time elapsed: 0.056 s
% 0.68/0.81  % (31047)Instructions burned: 93 (million)
% 0.68/0.81  % (31047)------------------------------
% 0.68/0.81  % (31047)------------------------------
% 0.68/0.81  % (31083)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 0.68/0.81  % (31083)Refutation not found, incomplete strategy% (31083)------------------------------
% 0.68/0.81  % (31083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31083)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (31083)Memory used [KB]: 1089
% 0.68/0.81  % (31083)Time elapsed: 0.001 s
% 0.68/0.81  % (31083)Instructions burned: 2 (million)
% 0.68/0.81  % (31083)------------------------------
% 0.68/0.81  % (31083)------------------------------
% 0.68/0.81  % (31084)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2995ds/82Mi)
% 0.68/0.82  % (31084)Refutation not found, incomplete strategy% (31084)------------------------------
% 0.68/0.82  % (31084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (31084)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82  
% 0.68/0.82  % (31084)Memory used [KB]: 1087
% 0.68/0.82  % (31084)Time elapsed: 0.003 s
% 0.68/0.82  % (31084)Instructions burned: 2 (million)
% 0.68/0.82  % (31084)------------------------------
% 0.68/0.82  % (31084)------------------------------
% 0.68/0.82  % (31086)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 0.68/0.82  % (31086)Refutation not found, incomplete strategy% (31086)------------------------------
% 0.68/0.82  % (31086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (31085)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 0.68/0.82  % (31086)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82  
% 0.68/0.82  % (31086)Memory used [KB]: 1088
% 0.68/0.82  % (31086)Time elapsed: 0.001 s
% 0.68/0.82  % (31086)Instructions burned: 2 (million)
% 0.68/0.82  % (31086)------------------------------
% 0.68/0.82  % (31086)------------------------------
% 0.68/0.82  % (31085)Refutation not found, incomplete strategy% (31085)------------------------------
% 0.68/0.82  % (31085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (31085)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82  
% 0.68/0.82  % (31085)Memory used [KB]: 1089
% 0.68/0.82  % (31085)Time elapsed: 0.003 s
% 0.68/0.82  % (31085)Instructions burned: 2 (million)
% 0.68/0.82  % (31085)------------------------------
% 0.68/0.82  % (31085)------------------------------
% 0.68/0.82  % (31089)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2995ds/49Mi)
% 0.68/0.82  % (31088)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2995ds/117Mi)
% 0.68/0.82  % (31091)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2995ds/51Mi)
% 0.68/0.82  % (31091)Refutation not found, incomplete strategy% (31091)------------------------------
% 0.68/0.82  % (31091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (31091)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82  
% 0.68/0.82  % (31091)Memory used [KB]: 1090
% 0.68/0.82  % (31091)Time elapsed: 0.002 s
% 0.68/0.82  % (31091)Instructions burned: 2 (million)
% 0.68/0.82  % (31091)------------------------------
% 0.68/0.82  % (31091)------------------------------
% 0.68/0.83  % (31077)Instruction limit reached!
% 0.68/0.83  % (31077)------------------------------
% 0.68/0.83  % (31077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31077)Termination reason: Unknown
% 0.68/0.83  % (31077)Termination phase: Saturation
% 0.68/0.83  
% 0.68/0.83  % (31077)Memory used [KB]: 1754
% 0.68/0.83  % (31077)Time elapsed: 0.023 s
% 0.68/0.83  % (31077)Instructions burned: 37 (million)
% 0.68/0.83  % (31077)------------------------------
% 0.68/0.83  % (31077)------------------------------
% 0.68/0.83  % (31064)Instruction limit reached!
% 0.68/0.83  % (31064)------------------------------
% 0.68/0.83  % (31064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31064)Termination reason: Unknown
% 0.68/0.83  % (31064)Termination phase: Saturation
% 0.68/0.83  
% 0.68/0.83  % (31064)Memory used [KB]: 2216
% 0.68/0.83  % (31064)Time elapsed: 0.045 s
% 0.68/0.83  % (31064)Instructions burned: 88 (million)
% 0.68/0.83  % (31064)------------------------------
% 0.68/0.83  % (31064)------------------------------
% 0.68/0.83  % (31094)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2995ds/149Mi)
% 0.68/0.83  % (31094)Refutation not found, incomplete strategy% (31094)------------------------------
% 0.68/0.83  % (31094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31065)First to succeed.
% 0.68/0.83  % (31094)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.83  
% 0.68/0.83  % (31094)Memory used [KB]: 1089
% 0.68/0.83  % (31094)Time elapsed: 0.002 s
% 0.68/0.83  % (31094)Instructions burned: 2 (million)
% 0.68/0.83  % (31094)------------------------------
% 0.68/0.83  % (31094)------------------------------
% 0.68/0.83  % (31097)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2995ds/56Mi)
% 0.68/0.83  % (31065)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30872"
% 0.68/0.83  % (31097)Refutation not found, incomplete strategy% (31097)------------------------------
% 0.68/0.83  % (31097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31097)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.83  
% 0.68/0.83  % (31097)Memory used [KB]: 1089
% 0.68/0.83  % (31097)Time elapsed: 0.003 s
% 0.68/0.83  % (31097)Instructions burned: 2 (million)
% 0.68/0.83  % (31099)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2995ds/289Mi)
% 0.68/0.83  % (31097)------------------------------
% 0.68/0.83  % (31097)------------------------------
% 0.68/0.83  % (31069)Instruction limit reached!
% 0.68/0.83  % (31069)------------------------------
% 0.68/0.83  % (31069)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31069)Termination reason: Unknown
% 0.68/0.83  % (31069)Termination phase: Saturation
% 0.68/0.83  
% 0.68/0.83  % (31069)Memory used [KB]: 1876
% 0.68/0.83  % (31069)Time elapsed: 0.044 s
% 0.68/0.83  % (31069)Instructions burned: 70 (million)
% 0.68/0.83  % (31069)------------------------------
% 0.68/0.83  % (31069)------------------------------
% 0.68/0.83  % (31065)Refutation found. Thanks to Tanya!
% 0.68/0.83  % SZS status Theorem for Vampire---4
% 0.68/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.83  % (31065)------------------------------
% 0.68/0.83  % (31065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31065)Termination reason: Refutation
% 0.68/0.83  
% 0.68/0.83  % (31065)Memory used [KB]: 1889
% 0.68/0.83  % (31065)Time elapsed: 0.047 s
% 0.68/0.83  % (31065)Instructions burned: 79 (million)
% 0.68/0.83  % (30872)Success in time 0.474 s
% 0.68/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------