TSTP Solution File: LCL090-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 03:10:45 EDT 2024

% Result   : Unsatisfiable 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   97 (  14 unt;   0 def)
%            Number of atoms       :  218 (   1 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  234 ( 113   ~; 108   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   16 (  14 usr;  14 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  183 ( 183   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1484,plain,
    $false,
    inference(avatar_sat_refutation,[],[f89,f171,f203,f211,f296,f514,f580,f800,f823,f872,f1391,f1408,f1455,f1483]) ).

fof(f1483,plain,
    ( spl1_10
    | spl1_13
    | ~ spl1_55 ),
    inference(avatar_split_clause,[],[f1456,f870,f162,f142]) ).

fof(f142,plain,
    ( spl1_10
  <=> ! [X2] : is_a_theorem(implies(X2,implies(sF0,sF0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f162,plain,
    ( spl1_13
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f870,plain,
    ( spl1_55
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(sF0,sF0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).

fof(f1456,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(sF0,sF0))) )
    | ~ spl1_55 ),
    inference(resolution,[],[f871,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ddhyEjlJHQ/Vampire---4.8_25791',condensed_detachment) ).

fof(f871,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(sF0,sF0))))
    | ~ spl1_55 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f1455,plain,
    ( ~ spl1_1
    | ~ spl1_54 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_54 ),
    inference(resolution,[],[f967,f19]) ).

fof(f19,plain,
    ( ! [X0] : is_a_theorem(implies(sF0,implies(X0,sF0)))
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl1_1
  <=> ! [X0] : is_a_theorem(implies(sF0,implies(X0,sF0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f967,plain,
    ( ~ is_a_theorem(implies(sF0,implies(sF0,sF0)))
    | ~ spl1_54 ),
    inference(superposition,[],[f868,f4]) ).

fof(f4,plain,
    implies(a,a) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f868,plain,
    ( ! [X2] : ~ is_a_theorem(implies(implies(a,X2),implies(sF0,sF0)))
    | ~ spl1_54 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl1_54
  <=> ! [X2] : ~ is_a_theorem(implies(implies(a,X2),implies(sF0,sF0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).

fof(f1408,plain,
    ( spl1_1
    | spl1_13
    | ~ spl1_71 ),
    inference(avatar_split_clause,[],[f1392,f1389,f162,f18]) ).

fof(f1389,plain,
    ( spl1_71
  <=> ! [X2,X1] : is_a_theorem(implies(X1,implies(sF0,implies(X2,sF0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).

fof(f1392,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(sF0,implies(X1,sF0))) )
    | ~ spl1_71 ),
    inference(resolution,[],[f1390,f1]) ).

fof(f1390,plain,
    ( ! [X2,X1] : is_a_theorem(implies(X1,implies(sF0,implies(X2,sF0))))
    | ~ spl1_71 ),
    inference(avatar_component_clause,[],[f1389]) ).

fof(f1391,plain,
    ( spl1_71
    | spl1_13
    | ~ spl1_51 ),
    inference(avatar_split_clause,[],[f1361,f821,f162,f1389]) ).

fof(f821,plain,
    ( spl1_51
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(a,implies(X1,sF0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).

fof(f1361,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(sF0,implies(X2,sF0)))) )
    | ~ spl1_51 ),
    inference(resolution,[],[f1357,f1]) ).

fof(f1357,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(sF0,implies(X2,sF0)))))
    | ~ spl1_51 ),
    inference(resolution,[],[f904,f889]) ).

fof(f889,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,sF0),a),implies(X1,sF0)))
    | ~ spl1_51 ),
    inference(resolution,[],[f822,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(a,X0),implies(a,X1)))
      | is_a_theorem(implies(implies(X1,a),implies(X2,sF0))) ),
    inference(resolution,[],[f11,f1]) ).

fof(f11,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(a,X0),implies(a,X1)),implies(implies(X1,a),implies(X2,sF0)))),
    inference(superposition,[],[f2,f4]) ).

fof(f2,axiom,
    ! [X2,X3,X6,X4,X5] : is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X5)),implies(implies(X5,X2),implies(X6,implies(X4,X2))))),
    file('/export/starexec/sandbox/tmp/tmp.ddhyEjlJHQ/Vampire---4.8_25791',ic_JLukasiewicz_5) ).

fof(f822,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(a,implies(X1,sF0))))
    | ~ spl1_51 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f904,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X2,sF0),X3),implies(sF0,sF0)))
      | is_a_theorem(implies(X0,implies(X1,implies(sF0,implies(X2,sF0))))) ),
    inference(resolution,[],[f352,f13]) ).

fof(f13,plain,
    ! [X0] : is_a_theorem(implies(implies(sF0,sF0),implies(sF0,implies(X0,sF0)))),
    inference(superposition,[],[f8,f4]) ).

fof(f8,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(sF0,implies(X0,X1)),implies(implies(X1,a),implies(X2,implies(X0,a))))),
    inference(superposition,[],[f2,f4]) ).

fof(f352,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ is_a_theorem(implies(implies(X4,X5),implies(X2,X3)))
      | is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
      | ~ is_a_theorem(implies(implies(X3,X6),implies(X2,X5))) ),
    inference(resolution,[],[f112,f7]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
      | ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ is_a_theorem(implies(implies(X1,X5),implies(X0,X2)))
      | is_a_theorem(implies(X3,implies(X4,X2)))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f58,f7]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
      | ~ is_a_theorem(implies(X3,X0))
      | is_a_theorem(implies(X4,implies(X2,X0))) ),
    inference(resolution,[],[f7,f1]) ).

fof(f872,plain,
    ( spl1_54
    | spl1_55
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f858,f798,f870,f867]) ).

fof(f798,plain,
    ( spl1_50
  <=> ! [X2,X0,X1,X4] :
        ( ~ is_a_theorem(implies(implies(sF0,X0),implies(X1,X2)))
        | is_a_theorem(implies(X4,implies(a,implies(X1,sF0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).

fof(f858,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(X0,implies(X1,implies(sF0,sF0))))
        | ~ is_a_theorem(implies(implies(a,X2),implies(sF0,sF0))) )
    | ~ spl1_50 ),
    inference(resolution,[],[f803,f112]) ).

fof(f803,plain,
    ( ! [X0] : is_a_theorem(implies(X0,implies(a,implies(sF0,sF0))))
    | ~ spl1_50 ),
    inference(resolution,[],[f799,f14]) ).

fof(f14,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(sF0,implies(X0,a)),implies(sF0,implies(X1,implies(X0,a))))),
    inference(superposition,[],[f8,f4]) ).

fof(f799,plain,
    ( ! [X2,X0,X1,X4] :
        ( ~ is_a_theorem(implies(implies(sF0,X0),implies(X1,X2)))
        | is_a_theorem(implies(X4,implies(a,implies(X1,sF0)))) )
    | ~ spl1_50 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f823,plain,
    ( spl1_32
    | spl1_51
    | ~ spl1_50 ),
    inference(avatar_split_clause,[],[f801,f798,f821,f435]) ).

fof(f435,plain,
    ( spl1_32
  <=> ! [X2,X1,X3] : ~ is_a_theorem(implies(implies(X1,X2),implies(X3,sF0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).

fof(f801,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( is_a_theorem(implies(X0,implies(a,implies(X1,sF0))))
        | ~ is_a_theorem(implies(implies(X2,X3),implies(X4,sF0))) )
    | ~ spl1_50 ),
    inference(resolution,[],[f799,f7]) ).

fof(f800,plain,
    ( spl1_13
    | spl1_50
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f778,f294,f798,f162]) ).

fof(f294,plain,
    ( spl1_22
  <=> ! [X0,X1,X3] :
        ( ~ is_a_theorem(implies(implies(X0,sF0),implies(a,X1)))
        | is_a_theorem(implies(implies(X3,a),implies(a,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).

fof(f778,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(implies(implies(sF0,X0),implies(X1,X2)))
        | ~ is_a_theorem(X3)
        | is_a_theorem(implies(X4,implies(a,implies(X1,sF0)))) )
    | ~ spl1_22 ),
    inference(resolution,[],[f417,f1]) ).

fof(f417,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( is_a_theorem(implies(X0,implies(X1,implies(a,implies(X2,sF0)))))
        | ~ is_a_theorem(implies(implies(sF0,X3),implies(X2,X4))) )
    | ~ spl1_22 ),
    inference(resolution,[],[f340,f7]) ).

fof(f340,plain,
    ( ! [X2,X0,X1,X4] :
        ( ~ is_a_theorem(implies(implies(X4,sF0),implies(a,X2)))
        | is_a_theorem(implies(X0,implies(X1,implies(a,X2)))) )
    | ~ spl1_22 ),
    inference(subsumption_resolution,[],[f330,f295]) ).

fof(f295,plain,
    ( ! [X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,sF0),implies(a,X1)))
        | is_a_theorem(implies(implies(X3,a),implies(a,X1))) )
    | ~ spl1_22 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f330,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(X0,implies(X1,implies(a,X2))))
      | ~ is_a_theorem(implies(implies(implies(X3,a),a),implies(a,X2)))
      | ~ is_a_theorem(implies(implies(X4,sF0),implies(a,X2))) ),
    inference(resolution,[],[f119,f118]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X2,implies(implies(X3,a),implies(a,X1))))
      | ~ is_a_theorem(implies(implies(X0,sF0),implies(a,X1))) ),
    inference(resolution,[],[f58,f11]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(sF0,implies(X0,X1)))
      | is_a_theorem(implies(X2,implies(X3,X1)))
      | ~ is_a_theorem(implies(implies(X0,a),X1)) ),
    inference(resolution,[],[f58,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,a),implies(X2,implies(X0,a))))
      | ~ is_a_theorem(implies(sF0,implies(X0,X1))) ),
    inference(resolution,[],[f8,f1]) ).

fof(f580,plain,
    ( ~ spl1_32
    | ~ spl1_39 ),
    inference(avatar_contradiction_clause,[],[f573]) ).

fof(f573,plain,
    ( $false
    | ~ spl1_32
    | ~ spl1_39 ),
    inference(resolution,[],[f517,f537]) ).

fof(f537,plain,
    ( ! [X0] : ~ is_a_theorem(implies(sF0,implies(a,X0)))
    | ~ spl1_32 ),
    inference(resolution,[],[f436,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,a),implies(X1,sF0)))
      | ~ is_a_theorem(implies(sF0,implies(a,X0))) ),
    inference(resolution,[],[f15,f1]) ).

fof(f15,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(sF0,implies(a,X0)),implies(implies(X0,a),implies(X1,sF0)))),
    inference(superposition,[],[f8,f4]) ).

fof(f436,plain,
    ( ! [X2,X3,X1] : ~ is_a_theorem(implies(implies(X1,X2),implies(X3,sF0)))
    | ~ spl1_32 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f517,plain,
    ( is_a_theorem(implies(sF0,implies(a,implies(sF0,sF0))))
    | ~ spl1_39 ),
    inference(resolution,[],[f513,f14]) ).

fof(f513,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(sF0,X0),implies(X1,X2)))
        | is_a_theorem(implies(sF0,implies(a,implies(X1,sF0)))) )
    | ~ spl1_39 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl1_39
  <=> ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(sF0,X0),implies(X1,X2)))
        | is_a_theorem(implies(sF0,implies(a,implies(X1,sF0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).

fof(f514,plain,
    ( spl1_13
    | spl1_39 ),
    inference(avatar_split_clause,[],[f505,f512,f162]) ).

fof(f505,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(sF0,X0),implies(X1,X2)))
      | ~ is_a_theorem(X3)
      | is_a_theorem(implies(sF0,implies(a,implies(X1,sF0)))) ),
    inference(resolution,[],[f236,f1]) ).

fof(f236,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X0,implies(sF0,implies(a,implies(X1,sF0)))))
      | ~ is_a_theorem(implies(implies(sF0,X2),implies(X1,X3))) ),
    inference(resolution,[],[f122,f7]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,sF0),implies(a,X1)))
      | is_a_theorem(implies(X2,implies(sF0,implies(a,X1)))) ),
    inference(resolution,[],[f58,f27]) ).

fof(f27,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(a,X0),sF0),implies(sF0,implies(X1,sF0)))),
    inference(superposition,[],[f9,f4]) ).

fof(f9,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),sF0),implies(implies(a,X0),implies(X2,implies(a,X0))))),
    inference(superposition,[],[f2,f4]) ).

fof(f296,plain,
    ( spl1_13
    | spl1_22 ),
    inference(avatar_split_clause,[],[f288,f294,f162]) ).

fof(f288,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,sF0),implies(a,X1)))
      | ~ is_a_theorem(X2)
      | is_a_theorem(implies(implies(X3,a),implies(a,X1))) ),
    inference(resolution,[],[f118,f1]) ).

fof(f211,plain,
    ( spl1_13
    | spl1_2
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f210,f142,f21,f162]) ).

fof(f21,plain,
    ( spl1_2
  <=> is_a_theorem(implies(sF0,sF0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f210,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | spl1_2
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f208,f23]) ).

fof(f23,plain,
    ( ~ is_a_theorem(implies(sF0,sF0))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f208,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(sF0,sF0)) )
    | ~ spl1_10 ),
    inference(resolution,[],[f143,f1]) ).

fof(f143,plain,
    ( ! [X2] : is_a_theorem(implies(X2,implies(sF0,sF0)))
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f203,plain,
    ~ spl1_13,
    inference(avatar_contradiction_clause,[],[f175]) ).

fof(f175,plain,
    ( $false
    | ~ spl1_13 ),
    inference(resolution,[],[f163,f2]) ).

fof(f163,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl1_13 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f171,plain,
    ( spl1_4
    | spl1_13
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f167,f21,f162,f52]) ).

fof(f52,plain,
    ( spl1_4
  <=> ! [X1] : is_a_theorem(implies(X1,sF0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f167,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,sF0)) )
    | ~ spl1_2 ),
    inference(resolution,[],[f150,f1]) ).

fof(f150,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,sF0)))
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f124,f22]) ).

fof(f22,plain,
    ( is_a_theorem(implies(sF0,sF0))
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f124,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(sF0,sF0))
        | is_a_theorem(implies(X0,implies(X1,sF0))) )
    | ~ spl1_2 ),
    inference(resolution,[],[f58,f109]) ).

fof(f109,plain,
    ( ! [X0] : is_a_theorem(implies(implies(sF0,a),implies(X0,sF0)))
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f108,f22]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(sF0,sF0))
      | is_a_theorem(implies(implies(sF0,a),implies(X0,sF0))) ),
    inference(forward_demodulation,[],[f105,f4]) ).

fof(f105,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(sF0,a),implies(X0,sF0)))
      | ~ is_a_theorem(implies(sF0,implies(a,a))) ),
    inference(resolution,[],[f43,f40]) ).

fof(f89,plain,
    ~ spl1_4,
    inference(avatar_contradiction_clause,[],[f65]) ).

fof(f65,plain,
    ( $false
    | ~ spl1_4 ),
    inference(resolution,[],[f64,f2]) ).

fof(f64,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f61,f5]) ).

fof(f5,plain,
    ~ is_a_theorem(sF0),
    inference(definition_folding,[],[f3,f4]) ).

fof(f3,axiom,
    ~ is_a_theorem(implies(a,a)),
    file('/export/starexec/sandbox/tmp/tmp.ddhyEjlJHQ/Vampire---4.8_25791',prove_ic_1) ).

fof(f61,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(sF0) )
    | ~ spl1_4 ),
    inference(resolution,[],[f53,f1]) ).

fof(f53,plain,
    ( ! [X1] : is_a_theorem(implies(X1,sF0))
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:32:03 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ddhyEjlJHQ/Vampire---4.8_25791
% 0.53/0.74  % (25906)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)
% 0.59/0.74  % (25906)Refutation not found, incomplete strategy% (25906)------------------------------
% 0.59/0.74  % (25906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (25906)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (25906)Memory used [KB]: 958
% 0.59/0.74  % (25906)Time elapsed: 0.001 s
% 0.59/0.74  % (25906)Instructions burned: 2 (million)
% 0.59/0.74  % (25906)------------------------------
% 0.59/0.74  % (25906)------------------------------
% 0.59/0.74  % (25899)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)
% 0.59/0.74  % (25903)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)
% 0.59/0.74  % (25902)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)
% 0.59/0.74  % (25900)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)
% 0.59/0.74  % (25904)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)
% 0.59/0.74  % (25905)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)
% 0.59/0.74  % (25901)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (25903)Refutation not found, incomplete strategy% (25903)------------------------------
% 0.59/0.75  % (25903)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (25904)Refutation not found, incomplete strategy% (25904)------------------------------
% 0.59/0.75  % (25904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (25903)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (25903)Memory used [KB]: 959
% 0.59/0.75  % (25903)Time elapsed: 0.002 s
% 0.59/0.75  % (25903)Instructions burned: 2 (million)
% 0.59/0.75  % (25903)------------------------------
% 0.59/0.75  % (25903)------------------------------
% 0.59/0.75  % (25904)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (25904)Memory used [KB]: 958
% 0.59/0.75  % (25904)Time elapsed: 0.002 s
% 0.59/0.75  % (25904)Instructions burned: 2 (million)
% 0.59/0.75  % (25904)------------------------------
% 0.59/0.75  % (25904)------------------------------
% 0.59/0.75  % (25907)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)
% 0.59/0.75  % (25908)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)
% 0.59/0.75  % (25909)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)
% 0.59/0.76  % (25899)Instruction limit reached!
% 0.59/0.76  % (25899)------------------------------
% 0.59/0.76  % (25899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (25899)Termination reason: Unknown
% 0.59/0.76  % (25899)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (25899)Memory used [KB]: 1174
% 0.59/0.76  % (25899)Time elapsed: 0.020 s
% 0.59/0.76  % (25902)Instruction limit reached!
% 0.59/0.76  % (25902)------------------------------
% 0.59/0.76  % (25902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (25902)Termination reason: Unknown
% 0.59/0.76  % (25902)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (25902)Memory used [KB]: 1361
% 0.59/0.76  % (25902)Time elapsed: 0.020 s
% 0.59/0.76  % (25902)Instructions burned: 34 (million)
% 0.59/0.76  % (25902)------------------------------
% 0.59/0.76  % (25902)------------------------------
% 0.59/0.76  % (25899)Instructions burned: 34 (million)
% 0.59/0.76  % (25899)------------------------------
% 0.59/0.76  % (25899)------------------------------
% 0.59/0.76  % (25907)Instruction limit reached!
% 0.59/0.76  % (25907)------------------------------
% 0.59/0.76  % (25907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (25907)Termination reason: Unknown
% 0.59/0.76  % (25907)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (25907)Memory used [KB]: 1529
% 0.59/0.76  % (25907)Time elapsed: 0.018 s
% 0.59/0.76  % (25907)Instructions burned: 57 (million)
% 0.59/0.76  % (25907)------------------------------
% 0.59/0.76  % (25907)------------------------------
% 0.59/0.77  % (25912)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)
% 0.59/0.77  % (25912)Refutation not found, incomplete strategy% (25912)------------------------------
% 0.59/0.77  % (25912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (25912)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  % (25910)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)
% 0.59/0.77  
% 0.59/0.77  % (25912)Memory used [KB]: 958
% 0.59/0.77  % (25912)Time elapsed: 0.001 s
% 0.59/0.77  % (25912)Instructions burned: 2 (million)
% 0.59/0.77  % (25912)------------------------------
% 0.59/0.77  % (25912)------------------------------
% 0.59/0.77  % (25911)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)
% 0.59/0.77  % (25911)Refutation not found, incomplete strategy% (25911)------------------------------
% 0.59/0.77  % (25911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (25911)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (25911)Memory used [KB]: 958
% 0.59/0.77  % (25911)Time elapsed: 0.003 s
% 0.59/0.77  % (25911)Instructions burned: 2 (million)
% 0.59/0.77  % (25911)------------------------------
% 0.59/0.77  % (25911)------------------------------
% 0.59/0.77  % (25913)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)
% 0.59/0.77  % (25900)Instruction limit reached!
% 0.59/0.77  % (25900)------------------------------
% 0.59/0.77  % (25900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (25900)Termination reason: Unknown
% 0.59/0.77  % (25900)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (25900)Memory used [KB]: 1402
% 0.59/0.77  % (25900)Time elapsed: 0.029 s
% 0.59/0.77  % (25900)Instructions burned: 52 (million)
% 0.59/0.77  % (25900)------------------------------
% 0.59/0.77  % (25900)------------------------------
% 0.59/0.77  % (25914)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)
% 0.59/0.78  % (25908)Instruction limit reached!
% 0.59/0.78  % (25908)------------------------------
% 0.59/0.78  % (25908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (25908)Termination reason: Unknown
% 0.59/0.78  % (25908)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (25908)Memory used [KB]: 1619
% 0.59/0.78  % (25908)Time elapsed: 0.027 s
% 0.59/0.78  % (25908)Instructions burned: 51 (million)
% 0.59/0.78  % (25908)------------------------------
% 0.59/0.78  % (25908)------------------------------
% 0.59/0.78  % (25915)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 (2995ds/143Mi)
% 0.59/0.78  % (25905)Instruction limit reached!
% 0.59/0.78  % (25905)------------------------------
% 0.59/0.78  % (25905)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (25905)Termination reason: Unknown
% 0.59/0.78  % (25905)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (25905)Memory used [KB]: 1510
% 0.59/0.78  % (25905)Time elapsed: 0.035 s
% 0.59/0.78  % (25905)Instructions burned: 83 (million)
% 0.59/0.78  % (25905)------------------------------
% 0.59/0.78  % (25905)------------------------------
% 0.59/0.78  % (25916)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 (2995ds/93Mi)
% 0.59/0.78  % (25917)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 (2995ds/62Mi)
% 0.59/0.78  % (25901)Instruction limit reached!
% 0.59/0.78  % (25901)------------------------------
% 0.59/0.78  % (25901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (25901)Termination reason: Unknown
% 0.59/0.78  % (25901)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (25901)Memory used [KB]: 1283
% 0.59/0.78  % (25901)Time elapsed: 0.040 s
% 0.59/0.78  % (25901)Instructions burned: 80 (million)
% 0.59/0.78  % (25901)------------------------------
% 0.59/0.78  % (25901)------------------------------
% 0.59/0.79  % (25918)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 (2995ds/32Mi)
% 0.59/0.79  % (25910)Instruction limit reached!
% 0.59/0.79  % (25910)------------------------------
% 0.59/0.79  % (25910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (25910)Termination reason: Unknown
% 0.59/0.79  % (25910)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (25910)Memory used [KB]: 1166
% 0.59/0.79  % (25910)Time elapsed: 0.023 s
% 0.59/0.79  % (25910)Instructions burned: 54 (million)
% 0.59/0.79  % (25910)------------------------------
% 0.59/0.79  % (25910)------------------------------
% 0.59/0.79  % (25909)First to succeed.
% 0.59/0.79  % (25909)Refutation found. Thanks to Tanya!
% 0.59/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79  % (25909)------------------------------
% 0.59/0.79  % (25909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (25909)Termination reason: Refutation
% 0.59/0.79  
% 0.59/0.79  % (25909)Memory used [KB]: 1550
% 0.59/0.79  % (25909)Time elapsed: 0.041 s
% 0.59/0.79  % (25909)Instructions burned: 64 (million)
% 0.59/0.79  % (25909)------------------------------
% 0.59/0.79  % (25909)------------------------------
% 0.59/0.79  % (25898)Success in time 0.419 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------