%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW097+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n002.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 : Mon Jun 24 18:47:53 EDT 2024

% Result   : Theorem 77.58s 11.44s
% Output   : Refutation 77.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  556 (  86 unt;   0 def)
%            Number of atoms       : 1689 ( 471 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2014 ( 881   ~;1047   |;  38   &)
%                                         (  32 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   33 (  31 usr;  29 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-3 aty)
%            Number of variables   :  351 ( 335   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f578288,plain,
    $false,
    inference(avatar_sat_refutation,[],[f474,f542,f563,f675,f7235,f13800,f17999,f20405,f173295,f173356,f173694,f192736,f197618,f204507,f204689,f211125,f236618,f249487,f306203,f336701,f336876,f376089,f379415,f380949,f382015,f391117,f401916,f411189,f411237,f411372,f411629,f533738,f577660,f577892,f578276]) ).

fof(f578276,plain,
    ( ~ spl9_1
    | ~ spl9_4
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_22
    | spl9_26
    | ~ spl9_105 ),
    inference(avatar_contradiction_clause,[],[f578204]) ).

fof(f578204,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_4
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_22
    | spl9_26
    | ~ spl9_105 ),
    inference(unit_resulting_resolution,[],[f58067,f578132,f972]) ).

fof(f972,plain,
    ( ! [X0] :
        ( forallprefers(prop(X0),true)
        | true = prop(X0) )
    | ~ spl9_4 ),
    inference(superposition,[],[f472,f370]) ).

fof(f370,plain,
    ! [X0] :
      ( prop(X0) = prop(err)
      | true = prop(X0) ),
    inference(resolution,[],[f330,f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = prop(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ( true = prop(X0)
        | ~ bool(X0) )
      & ( bool(X0)
        | true != prop(X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( true = prop(X0)
    <=> bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f330,plain,
    ! [X0] :
      ( bool(X0)
      | prop(X0) = prop(err) ),
    inference(backward_demodulation,[],[f223,f318]) ).

fof(f318,plain,
    false1 = prop(err),
    inference(unit_resulting_resolution,[],[f314,f223]) ).

fof(f314,plain,
    ~ bool(err),
    inference(unit_resulting_resolution,[],[f139,f209,f222]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false1 = X0
      | true = X0 ),
    inference(definition_unfolding,[],[f158,f132]) ).

fof(f132,plain,
    false = false1,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    false = false1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f158,plain,
    ! [X0] :
      ( true = X0
      | false = X0
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( bool(X0)
        | ( true != X0
          & false != X0 ) )
      & ( true = X0
        | false = X0
        | ~ bool(X0) ) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ( bool(X0)
        | ( true != X0
          & false != X0 ) )
      & ( true = X0
        | false = X0
        | ~ bool(X0) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( bool(X0)
    <=> ( true = X0
        | false = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f209,plain,
    err != false1,
    inference(definition_unfolding,[],[f140,f132]) ).

fof(f140,plain,
    false != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( false != err
    & true != err
    & false != true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f139,plain,
    true != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f223,plain,
    ! [X0] :
      ( bool(X0)
      | prop(X0) = false1 ),
    inference(definition_unfolding,[],[f162,f132]) ).

fof(f162,plain,
    ! [X0] :
      ( false = prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( false = prop(X0)
        | bool(X0) )
      & ( ~ bool(X0)
        | false != prop(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( false = prop(X0)
    <=> ~ bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f472,plain,
    ( forallprefers(prop(err),true)
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl9_4
  <=> forallprefers(prop(err),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f578132,plain,
    ( ! [X0] : ~ forallprefers(prop(X0),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_22
    | ~ spl9_105 ),
    inference(forward_demodulation,[],[f578131,f20404]) ).

fof(f20404,plain,
    ( ! [X0] : prop(X0) = lazy_impl(true,prop(X0))
    | ~ spl9_22 ),
    inference(avatar_component_clause,[],[f20403]) ).

fof(f20403,plain,
    ( spl9_22
  <=> ! [X0] : prop(X0) = lazy_impl(true,prop(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).

fof(f578131,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,prop(X0)),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_105 ),
    inference(forward_demodulation,[],[f577969,f17998]) ).

fof(f17998,plain,
    ( ! [X0] : prop(X0) = impl(true,prop(X0))
    | ~ spl9_21 ),
    inference(avatar_component_clause,[],[f17997]) ).

fof(f17997,plain,
    ( spl9_21
  <=> ! [X0] : prop(X0) = impl(true,prop(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).

fof(f577969,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,impl(true,prop(X0))),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_105 ),
    inference(superposition,[],[f577935,f18143]) ).

fof(f18143,plain,
    ( ! [X0] : true = prop(prop(X0))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(duplicate_literal_removal,[],[f18108]) ).

fof(f18108,plain,
    ( ! [X0] :
        ( true = prop(prop(X0))
        | true = prop(prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(resolution,[],[f18000,f164]) ).

fof(f18000,plain,
    ( ! [X0] :
        ( bool(prop(X0))
        | true = prop(prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(backward_demodulation,[],[f4922,f17998]) ).

fof(f4922,plain,
    ( ! [X0] :
        ( bool(impl(true,prop(X0)))
        | true = prop(prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(duplicate_literal_removal,[],[f4919]) ).

fof(f4919,plain,
    ( ! [X0] :
        ( bool(impl(true,prop(X0)))
        | true = prop(prop(X0))
        | true = prop(prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f4025,f3731]) ).

fof(f3731,plain,
    ! [X0] :
      ( lazy_impl(true,X0) = impl(true,X0)
      | true = prop(X0) ),
    inference(resolution,[],[f3654,f164]) ).

fof(f3654,plain,
    ! [X0] :
      ( bool(X0)
      | lazy_impl(true,X0) = impl(true,X0) ),
    inference(resolution,[],[f3255,f242]) ).

fof(f242,plain,
    bool(true),
    inference(equality_resolution,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( bool(X0)
      | true != X0 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f3255,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | impl(X0,X1) = lazy_impl(true,X1) ),
    inference(forward_demodulation,[],[f233,f213]) ).

fof(f213,plain,
    ! [X0] : lazy_and1(true,X0) = lazy_impl(true,X0),
    inference(definition_unfolding,[],[f145,f144]) ).

fof(f144,plain,
    ! [X0] : phi(X0) = lazy_and1(true,X0),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] : phi(X0) = lazy_and1(true,X0),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3] : phi(X3) = lazy_and1(true,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f145,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : phi(X3) = lazy_impl(true,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f233,plain,
    ! [X0,X1] :
      ( impl(X0,X1) = lazy_and1(true,X1)
      | bool(X1)
      | ~ bool(X0) ),
    inference(definition_unfolding,[],[f177,f144]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( impl(X0,X1) = phi(X1)
      | bool(X1)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( impl(X0,X1) = phi(X1)
      | bool(X1)
      | ~ bool(X0) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( impl(X0,X1) = phi(X1)
      | bool(X1)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ( ~ bool(X1)
        & bool(X0) )
     => impl(X0,X1) = phi(X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X3] :
      ( ( ~ bool(X3)
        & bool(X2) )
     => impl(X2,X3) = phi(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4025,plain,
    ( ! [X0] :
        ( bool(lazy_impl(true,prop(X0)))
        | true = prop(prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f1928,f840]) ).

fof(f840,plain,
    ! [X0,X1] :
      ( lazy_impl(true,X0) = lazy_impl(X0,X1)
      | true = prop(X0) ),
    inference(resolution,[],[f443,f164]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( bool(X0)
      | lazy_impl(true,X0) = lazy_impl(X0,X1) ),
    inference(forward_demodulation,[],[f229,f213]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( lazy_and1(true,X0) = lazy_impl(X0,X1)
      | bool(X0) ),
    inference(definition_unfolding,[],[f173,f144]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( phi(X0) = lazy_impl(X0,X1)
      | bool(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( phi(X0) = lazy_impl(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = lazy_impl(X0,X1) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => phi(X2) = lazy_impl(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1928,plain,
    ( ! [X0] : bool(lazy_impl(prop(X0),X0))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(unit_resulting_resolution,[],[f332,f323,f736,f738,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ~ d(X0)
      | ~ bool(X1)
      | bool(X0)
      | ~ d(X1)
      | forallprefers(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | ( ( true != X1
          | false != X0 )
        & ( ~ bool(X1)
          | bool(X0)
          | ~ d(X1)
          | ~ d(X0) )
        & ( ~ d(X1)
          | d(X0) ) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( ( true = X1
          & false = X0 )
        | ( bool(X1)
          & ~ bool(X0)
          & d(X1)
          & d(X0) )
        | ( d(X1)
          & ~ d(X0) ) )
     => forallprefers(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
    <=> ( ( true = X1
          & false = X0 )
        | ( bool(X1)
          & ~ bool(X0)
          & d(X1)
          & d(X0) )
        | ( d(X1)
          & ~ d(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f738,plain,
    ( ! [X0] : d(lazy_impl(prop(X0),X0))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(unit_resulting_resolution,[],[f323,f736,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ d(X1)
      | forallprefers(X0,X1)
      | d(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f736,plain,
    ( ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),prop(err))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(forward_demodulation,[],[f735,f347]) ).

fof(f347,plain,
    prop(err) = lazy_impl(true,prop(err)),
    inference(backward_demodulation,[],[f306,f318]) ).

fof(f306,plain,
    false1 = lazy_impl(true,false1),
    inference(unit_resulting_resolution,[],[f208,f286]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ d(X0)
      | lazy_impl(true,X0) = X0 ),
    inference(forward_demodulation,[],[f216,f213]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ d(X0)
      | lazy_and1(true,X0) = X0 ),
    inference(definition_unfolding,[],[f148,f144]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ d(X0)
      | phi(X0) = X0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( err = phi(X0)
        & ~ d(X0) )
      | ( phi(X0) = X0
        & d(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f208,plain,
    d(false1),
    inference(definition_unfolding,[],[f136,f132]) ).

fof(f136,plain,
    d(false),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( d(err)
    & d(false)
    & d(true) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f735,plain,
    ( ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(true,prop(err)))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(forward_demodulation,[],[f484,f541]) ).

fof(f541,plain,
    ( sK8 = prop(err)
    | ~ spl9_6 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f539,plain,
    ( spl9_6
  <=> sK8 = prop(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

fof(f484,plain,
    ( ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(true,sK8))
    | ~ spl9_1 ),
    inference(backward_demodulation,[],[f240,f420]) ).

fof(f420,plain,
    ( true = prop(sK8)
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl9_1
  <=> true = prop(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f240,plain,
    ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK8),sK8)),
    inference(definition_unfolding,[],[f197,f146,f146]) ).

fof(f146,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f197,plain,
    ! [X1] : ~ forallprefers(f7(X1),f7(sK8)),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ! [X1] : ~ forallprefers(f7(X1),f7(sK8))
    & false2 = phi(f7(sK8)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f110,f129]) ).

fof(f129,plain,
    ( ? [X0] :
        ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
        & false2 = phi(f7(X0)) )
   => ( ! [X1] : ~ forallprefers(f7(X1),f7(sK8))
      & false2 = phi(f7(sK8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ? [X0] :
      ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ? [X0] :
      ( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ? [X4] :
      ( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
      & false2 = phi(f7(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f323,plain,
    d(prop(err)),
    inference(backward_demodulation,[],[f208,f318]) ).

fof(f332,plain,
    bool(prop(err)),
    inference(backward_demodulation,[],[f243,f318]) ).

fof(f243,plain,
    bool(false1),
    inference(equality_resolution,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( bool(X0)
      | false1 != X0 ),
    inference(definition_unfolding,[],[f159,f132]) ).

fof(f159,plain,
    ! [X0] :
      ( bool(X0)
      | false != X0 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f577935,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
    | ~ spl9_105 ),
    inference(forward_demodulation,[],[f577934,f325]) ).

fof(f325,plain,
    ! [X0] : true = lazy_impl(prop(err),X0),
    inference(backward_demodulation,[],[f212,f318]) ).

fof(f212,plain,
    ! [X0] : true = lazy_impl(false1,X0),
    inference(definition_unfolding,[],[f142,f132]) ).

fof(f142,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3] : true = lazy_impl(false,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f577934,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(prop(err),impl(sK1,X0)),X0)),true)
    | ~ spl9_105 ),
    inference(forward_demodulation,[],[f577933,f304]) ).

fof(f304,plain,
    true = lazy_impl(true,true),
    inference(unit_resulting_resolution,[],[f135,f286]) ).

fof(f135,plain,
    d(true),
    inference(cnf_transformation,[],[f3]) ).

fof(f577933,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(prop(err),impl(sK1,X0)),X0)),lazy_impl(true,true))
    | ~ spl9_105 ),
    inference(forward_demodulation,[],[f577932,f248]) ).

fof(f248,plain,
    true = prop(true),
    inference(unit_resulting_resolution,[],[f242,f164]) ).

fof(f577932,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(prop(err),impl(sK1,X0)),X0)),lazy_impl(prop(true),true))
    | ~ spl9_105 ),
    inference(forward_demodulation,[],[f577931,f274]) ).

fof(f274,plain,
    true = impl(true,true),
    inference(unit_resulting_resolution,[],[f242,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ bool(X0)
      | impl(true,X0) = X0 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( bool(X0)
     => impl(true,X0) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X3] :
      ( bool(X3)
     => impl(true,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f577931,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(prop(err),impl(sK1,X0)),X0)),lazy_impl(prop(true),impl(true,true)))
    | ~ spl9_105 ),
    inference(forward_demodulation,[],[f577924,f325]) ).

fof(f577924,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(prop(err),impl(sK1,X0)),X0)),lazy_impl(prop(true),impl(lazy_impl(prop(err),impl(sK1,true)),true)))
    | ~ spl9_105 ),
    inference(superposition,[],[f239,f577891]) ).

fof(f577891,plain,
    ( true = sK7(prop(err),sK1)
    | ~ spl9_105 ),
    inference(avatar_component_clause,[],[f577889]) ).

fof(f577889,plain,
    ( spl9_105
  <=> true = sK7(prop(err),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_105])]) ).

fof(f239,plain,
    ! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(lazy_impl(X0,impl(X1,X3)),X3)),lazy_impl(prop(sK7(X0,X1)),impl(lazy_impl(X0,impl(X1,sK7(X0,X1))),sK7(X0,X1)))),
    inference(definition_unfolding,[],[f191,f193,f193]) ).

fof(f193,plain,
    ! [X2,X0,X1] : f2(X0,X1,X2) = lazy_impl(prop(X2),impl(lazy_impl(X0,impl(X1,X2)),X2)),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] : f2(X0,X1,X2) = lazy_impl(prop(X2),impl(lazy_impl(X0,impl(X1,X2)),X2)),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X4,X5,X6] : f2(X4,X5,X6) = lazy_impl(prop(X6),impl(lazy_impl(X4,impl(X5,X6)),X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f191,plain,
    ! [X3,X0,X1] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,sK7(X0,X1))),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,sK7(X0,X1)))
      & lazy_and2(X0,X1) = phi(f2(X0,X1,sK7(X0,X1))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f109,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,X2))
          & lazy_and2(X0,X1) = phi(f2(X0,X1,X2)) )
     => ( ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,sK7(X0,X1)))
        & lazy_and2(X0,X1) = phi(f2(X0,X1,sK7(X0,X1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ! [X3] : ~ forallprefers(f2(X0,X1,X3),f2(X0,X1,X2))
      & lazy_and2(X0,X1) = phi(f2(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ~ ? [X3] : forallprefers(f2(X0,X1,X3),f2(X0,X1,X2))
      & lazy_and2(X0,X1) = phi(f2(X0,X1,X2)) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X4,X5] :
    ? [X6] :
      ( ~ ? [X7] : forallprefers(f2(X4,X5,X7),f2(X4,X5,X6))
      & lazy_and2(X4,X5) = phi(f2(X4,X5,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f58067,plain,
    ( true != prop(err)
    | spl9_26 ),
    inference(avatar_component_clause,[],[f58066]) ).

fof(f58066,plain,
    ( spl9_26
  <=> true = prop(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_26])]) ).

fof(f577892,plain,
    ( spl9_105
    | spl9_49
    | ~ spl9_104 ),
    inference(avatar_split_clause,[],[f577761,f577657,f169450,f577889]) ).

fof(f169450,plain,
    ( spl9_49
  <=> true = err ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_49])]) ).

fof(f577657,plain,
    ( spl9_104
  <=> true = lazy_impl(true,sK7(prop(err),sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_104])]) ).

fof(f577761,plain,
    ( true = err
    | true = sK7(prop(err),sK1)
    | ~ spl9_104 ),
    inference(superposition,[],[f307,f577659]) ).

fof(f577659,plain,
    ( true = lazy_impl(true,sK7(prop(err),sK1))
    | ~ spl9_104 ),
    inference(avatar_component_clause,[],[f577657]) ).

fof(f307,plain,
    ! [X0] :
      ( lazy_impl(true,X0) = X0
      | err = lazy_impl(true,X0) ),
    inference(resolution,[],[f286,f285]) ).

fof(f285,plain,
    ! [X0] :
      ( d(X0)
      | err = lazy_impl(true,X0) ),
    inference(forward_demodulation,[],[f215,f213]) ).

fof(f215,plain,
    ! [X0] :
      ( err = lazy_and1(true,X0)
      | d(X0) ),
    inference(definition_unfolding,[],[f149,f144]) ).

fof(f149,plain,
    ! [X0] :
      ( err = phi(X0)
      | d(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f577660,plain,
    ( spl9_104
    | spl9_49
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(avatar_split_clause,[],[f556116,f7260,f7238,f7228,f539,f418,f169450,f577657]) ).

fof(f7228,plain,
    ( spl9_10
  <=> true = prop(sK7(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).

fof(f7238,plain,
    ( spl9_12
  <=> true = prop(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).

fof(f7260,plain,
    ( spl9_15
  <=> true = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).

fof(f556116,plain,
    ( true = err
    | true = lazy_impl(true,sK7(prop(err),sK1))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(superposition,[],[f307,f555843]) ).

fof(f555843,plain,
    ( true = lazy_impl(true,lazy_impl(true,sK7(prop(err),sK1)))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(unit_resulting_resolution,[],[f540272,f555826,f329]) ).

fof(f329,plain,
    ! [X0] :
      ( ~ bool(X0)
      | prop(err) = X0
      | true = X0 ),
    inference(backward_demodulation,[],[f222,f318]) ).

fof(f555826,plain,
    ( prop(err) != lazy_impl(true,lazy_impl(true,sK7(prop(err),sK1)))
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(superposition,[],[f555574,f213]) ).

fof(f555574,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(true,sK7(prop(err),sK1)))
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(backward_demodulation,[],[f536934,f533751]) ).

fof(f533751,plain,
    ( sK7(prop(err),sK1) = impl(true,sK7(prop(err),sK1))
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(unit_resulting_resolution,[],[f533747,f918]) ).

fof(f918,plain,
    ! [X0] :
      ( true != prop(X0)
      | impl(true,X0) = X0 ),
    inference(superposition,[],[f210,f278]) ).

fof(f278,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | prop(X0) = false1 ),
    inference(resolution,[],[f157,f223]) ).

fof(f210,plain,
    true != false1,
    inference(definition_unfolding,[],[f138,f132]) ).

fof(f138,plain,
    false != true,
    inference(cnf_transformation,[],[f2]) ).

fof(f533747,plain,
    ( true = prop(sK7(prop(err),sK1))
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f7230,f412171]) ).

fof(f412171,plain,
    ( sK0 = prop(err)
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f412009,f318]) ).

fof(f412009,plain,
    ( false1 = sK0
    | ~ spl9_12
    | spl9_15 ),
    inference(unit_resulting_resolution,[],[f7262,f7240,f1426]) ).

fof(f1426,plain,
    ! [X0] :
      ( true != prop(X0)
      | true = X0
      | false1 = X0 ),
    inference(superposition,[],[f210,f317]) ).

fof(f317,plain,
    ! [X0] :
      ( prop(X0) = false1
      | true = X0
      | false1 = X0 ),
    inference(resolution,[],[f222,f223]) ).

fof(f7240,plain,
    ( true = prop(sK0)
    | ~ spl9_12 ),
    inference(avatar_component_clause,[],[f7238]) ).

fof(f7262,plain,
    ( true != sK0
    | spl9_15 ),
    inference(avatar_component_clause,[],[f7260]) ).

fof(f7230,plain,
    ( true = prop(sK7(sK0,sK1))
    | ~ spl9_10 ),
    inference(avatar_component_clause,[],[f7228]) ).

fof(f536934,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(true,impl(true,sK7(prop(err),sK1))))
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f445696,f533747]) ).

fof(f445696,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(prop(sK7(prop(err),sK1)),impl(true,sK7(prop(err),sK1))))
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f445695,f324]) ).

fof(f324,plain,
    ! [X0] : prop(err) = lazy_and1(prop(err),X0),
    inference(backward_demodulation,[],[f211,f318]) ).

fof(f211,plain,
    ! [X0] : false1 = lazy_and1(false1,X0),
    inference(definition_unfolding,[],[f141,f132,f132]) ).

fof(f141,plain,
    ! [X0] : false = lazy_and1(false,X0),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] : false = lazy_and1(false,X0),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3] : false = lazy_and1(false,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f445695,plain,
    ( lazy_and1(prop(err),sK1) != lazy_and1(true,lazy_impl(prop(sK7(prop(err),sK1)),impl(true,sK7(prop(err),sK1))))
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f445694,f325]) ).

fof(f445694,plain,
    ( lazy_and1(prop(err),sK1) != lazy_and1(true,lazy_impl(prop(sK7(prop(err),sK1)),impl(lazy_impl(prop(err),impl(sK1,sK7(prop(err),sK1))),sK7(prop(err),sK1))))
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f205,f412171]) ).

fof(f205,plain,
    lazy_and1(sK0,sK1) != lazy_and1(true,lazy_impl(prop(sK7(sK0,sK1)),impl(lazy_impl(sK0,impl(sK1,sK7(sK0,sK1))),sK7(sK0,sK1)))),
    inference(definition_unfolding,[],[f131,f199]) ).

fof(f199,plain,
    ! [X0,X1] : lazy_and2(X0,X1) = lazy_and1(true,lazy_impl(prop(sK7(X0,X1)),impl(lazy_impl(X0,impl(X1,sK7(X0,X1))),sK7(X0,X1)))),
    inference(definition_unfolding,[],[f190,f144,f193]) ).

fof(f190,plain,
    ! [X0,X1] : lazy_and2(X0,X1) = phi(f2(X0,X1,sK7(X0,X1))),
    inference(cnf_transformation,[],[f128]) ).

fof(f131,plain,
    lazy_and2(sK0,sK1) != lazy_and1(sK0,sK1),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    lazy_and2(sK0,sK1) != lazy_and1(sK0,sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f83,f111]) ).

fof(f111,plain,
    ( ? [X0,X1] : lazy_and2(X0,X1) != lazy_and1(X0,X1)
   => lazy_and2(sK0,sK1) != lazy_and1(sK0,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ? [X0,X1] : lazy_and2(X0,X1) != lazy_and1(X0,X1),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ~ ! [X0,X1] : lazy_and2(X0,X1) = lazy_and1(X0,X1),
    inference(rectify,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ ! [X4,X5] : lazy_and2(X4,X5) = lazy_and1(X4,X5),
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    ! [X4,X5] : lazy_and2(X4,X5) = lazy_and1(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f540272,plain,
    ( bool(lazy_impl(true,lazy_impl(true,sK7(prop(err),sK1))))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(superposition,[],[f1928,f533820]) ).

fof(f533820,plain,
    ( true = prop(lazy_impl(true,sK7(prop(err),sK1)))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(superposition,[],[f1942,f533747]) ).

fof(f1942,plain,
    ( ! [X0] : true = prop(lazy_impl(prop(X0),X0))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(unit_resulting_resolution,[],[f1928,f164]) ).

fof(f533738,plain,
    ( ~ spl9_1
    | ~ spl9_4
    | ~ spl9_6
    | spl9_10
    | ~ spl9_12
    | spl9_15
    | ~ spl9_21
    | ~ spl9_22
    | spl9_26 ),
    inference(avatar_contradiction_clause,[],[f533683]) ).

fof(f533683,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_4
    | ~ spl9_6
    | spl9_10
    | ~ spl9_12
    | spl9_15
    | ~ spl9_21
    | ~ spl9_22
    | spl9_26 ),
    inference(unit_resulting_resolution,[],[f58067,f533639,f972]) ).

fof(f533639,plain,
    ( ! [X0] : ~ forallprefers(prop(X0),true)
    | ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_12
    | spl9_15
    | ~ spl9_21
    | ~ spl9_22 ),
    inference(forward_demodulation,[],[f533638,f20404]) ).

fof(f533638,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,prop(X0)),true)
    | ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_12
    | spl9_15
    | ~ spl9_21 ),
    inference(forward_demodulation,[],[f533502,f17998]) ).

fof(f533502,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,impl(true,prop(X0))),true)
    | ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_12
    | spl9_15
    | ~ spl9_21 ),
    inference(superposition,[],[f533348,f18143]) ).

fof(f533348,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(true,X0)),true)
    | spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f533347,f325]) ).

fof(f533347,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(prop(err),impl(sK1,X0)),X0)),true)
    | spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f532958,f325]) ).

fof(f532958,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(prop(err),impl(sK1,X0)),X0)),lazy_impl(prop(err),impl(lazy_impl(prop(err),impl(sK1,sK7(prop(err),sK1))),sK7(prop(err),sK1))))
    | spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(superposition,[],[f239,f529550]) ).

fof(f529550,plain,
    ( prop(err) = prop(sK7(prop(err),sK1))
    | spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f529329,f318]) ).

fof(f529329,plain,
    ( false1 = prop(sK7(prop(err),sK1))
    | spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(unit_resulting_resolution,[],[f521504,f258]) ).

fof(f258,plain,
    ! [X0] :
      ( prop(X0) = false1
      | true = prop(X0) ),
    inference(resolution,[],[f223,f164]) ).

fof(f521504,plain,
    ( true != prop(sK7(prop(err),sK1))
    | spl9_10
    | ~ spl9_12
    | spl9_15 ),
    inference(forward_demodulation,[],[f7229,f412171]) ).

fof(f7229,plain,
    ( true != prop(sK7(sK0,sK1))
    | spl9_10 ),
    inference(avatar_component_clause,[],[f7228]) ).

fof(f411629,plain,
    ( spl9_49
    | ~ spl9_66
    | ~ spl9_67 ),
    inference(avatar_split_clause,[],[f411408,f243802,f243798,f169450]) ).

fof(f243798,plain,
    ( spl9_66
  <=> err = lazy_impl(true,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_66])]) ).

fof(f243802,plain,
    ( spl9_67
  <=> true = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_67])]) ).

fof(f411408,plain,
    ( true = err
    | ~ spl9_66
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f411407,f304]) ).

fof(f411407,plain,
    ( err = lazy_impl(true,true)
    | ~ spl9_66
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f243800,f243803]) ).

fof(f243803,plain,
    ( true = sK1
    | ~ spl9_67 ),
    inference(avatar_component_clause,[],[f243802]) ).

fof(f243800,plain,
    ( err = lazy_impl(true,sK1)
    | ~ spl9_66 ),
    inference(avatar_component_clause,[],[f243798]) ).

fof(f411372,plain,
    ( ~ spl9_10
    | ~ spl9_11
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_89 ),
    inference(avatar_contradiction_clause,[],[f411354]) ).

fof(f411354,plain,
    ( $false
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_89 ),
    inference(unit_resulting_resolution,[],[f391431,f411353]) ).

fof(f411353,plain,
    ( true != lazy_and1(true,true)
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_89 ),
    inference(forward_demodulation,[],[f411352,f304]) ).

fof(f411352,plain,
    ( true != lazy_and1(true,lazy_impl(true,true))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_89 ),
    inference(forward_demodulation,[],[f411351,f274]) ).

fof(f411351,plain,
    ( true != lazy_and1(true,lazy_impl(true,impl(true,true)))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_89 ),
    inference(forward_demodulation,[],[f404004,f411184]) ).

fof(f411184,plain,
    ( true = sK7(true,true)
    | ~ spl9_89 ),
    inference(avatar_component_clause,[],[f411182]) ).

fof(f411182,plain,
    ( spl9_89
  <=> true = sK7(true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_89])]) ).

fof(f404004,plain,
    ( true != lazy_and1(true,lazy_impl(true,impl(sK7(true,true),sK7(true,true))))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88 ),
    inference(backward_demodulation,[],[f401628,f401919]) ).

fof(f401919,plain,
    ( sK7(true,true) = lazy_impl(true,sK7(true,true))
    | ~ spl9_88 ),
    inference(unit_resulting_resolution,[],[f401638,f286]) ).

fof(f401638,plain,
    ( d(sK7(true,true))
    | ~ spl9_88 ),
    inference(avatar_component_clause,[],[f401637]) ).

fof(f401637,plain,
    ( spl9_88
  <=> d(sK7(true,true)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_88])]) ).

fof(f401628,plain,
    ( true != lazy_and1(true,lazy_impl(true,impl(lazy_impl(true,sK7(true,true)),sK7(true,true))))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f401627,f392058]) ).

fof(f392058,plain,
    ( true = prop(sK7(true,true))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f391152,f243803]) ).

fof(f391152,plain,
    ( true = prop(sK7(true,sK1))
    | ~ spl9_10
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f7230,f7261]) ).

fof(f7261,plain,
    ( true = sK0
    | ~ spl9_15 ),
    inference(avatar_component_clause,[],[f7260]) ).

fof(f401627,plain,
    ( true != lazy_and1(true,lazy_impl(prop(sK7(true,true)),impl(lazy_impl(true,sK7(true,true)),sK7(true,true))))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f401626,f392062]) ).

fof(f392062,plain,
    ( sK7(true,true) = impl(true,sK7(true,true))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(unit_resulting_resolution,[],[f392058,f918]) ).

fof(f401626,plain,
    ( true != lazy_and1(true,lazy_impl(prop(sK7(true,true)),impl(lazy_impl(true,impl(true,sK7(true,true))),sK7(true,true))))
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f391118,f243803]) ).

fof(f391118,plain,
    ( sK1 != lazy_and1(true,lazy_impl(prop(sK7(true,sK1)),impl(lazy_impl(true,impl(sK1,sK7(true,sK1))),sK7(true,sK1))))
    | ~ spl9_15
    | spl9_66 ),
    inference(forward_demodulation,[],[f376131,f382026]) ).

fof(f382026,plain,
    ( sK1 = lazy_impl(true,sK1)
    | spl9_66 ),
    inference(unit_resulting_resolution,[],[f243799,f307]) ).

fof(f243799,plain,
    ( err != lazy_impl(true,sK1)
    | spl9_66 ),
    inference(avatar_component_clause,[],[f243798]) ).

fof(f376131,plain,
    ( lazy_impl(true,sK1) != lazy_and1(true,lazy_impl(prop(sK7(true,sK1)),impl(lazy_impl(true,impl(sK1,sK7(true,sK1))),sK7(true,sK1))))
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f376130,f213]) ).

fof(f376130,plain,
    ( lazy_and1(true,sK1) != lazy_and1(true,lazy_impl(prop(sK7(true,sK1)),impl(lazy_impl(true,impl(sK1,sK7(true,sK1))),sK7(true,sK1))))
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f205,f7261]) ).

fof(f391431,plain,
    ( true = lazy_and1(true,true)
    | ~ spl9_11
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f391151,f243803]) ).

fof(f391151,plain,
    ( true = lazy_and1(true,sK1)
    | ~ spl9_11
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f7233,f7261]) ).

fof(f7233,plain,
    ( true = lazy_and1(sK0,sK1)
    | ~ spl9_11 ),
    inference(avatar_component_clause,[],[f7232]) ).

fof(f7232,plain,
    ( spl9_11
  <=> true = lazy_and1(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).

fof(f411237,plain,
    ( ~ spl9_10
    | ~ spl9_11
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_90 ),
    inference(avatar_contradiction_clause,[],[f411219]) ).

fof(f411219,plain,
    ( $false
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_90 ),
    inference(unit_resulting_resolution,[],[f391431,f411213]) ).

fof(f411213,plain,
    ( true != lazy_and1(true,true)
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_90 ),
    inference(forward_demodulation,[],[f411212,f304]) ).

fof(f411212,plain,
    ( true != lazy_and1(true,lazy_impl(true,true))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_90 ),
    inference(forward_demodulation,[],[f411208,f344]) ).

fof(f344,plain,
    true = impl(prop(err),prop(err)),
    inference(backward_demodulation,[],[f293,f318]) ).

fof(f293,plain,
    true = impl(false1,false1),
    inference(unit_resulting_resolution,[],[f243,f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false1,X0) ),
    inference(definition_unfolding,[],[f154,f132]) ).

fof(f154,plain,
    ! [X0] :
      ( true = impl(false,X0)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( true = impl(false,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( bool(X0)
     => true = impl(false,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X3] :
      ( bool(X3)
     => true = impl(false,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f411208,plain,
    ( true != lazy_and1(true,lazy_impl(true,impl(prop(err),prop(err))))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | ~ spl9_67
    | ~ spl9_88
    | ~ spl9_90 ),
    inference(backward_demodulation,[],[f404004,f411188]) ).

fof(f411188,plain,
    ( prop(err) = sK7(true,true)
    | ~ spl9_90 ),
    inference(avatar_component_clause,[],[f411186]) ).

fof(f411186,plain,
    ( spl9_90
  <=> prop(err) = sK7(true,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_90])]) ).

fof(f411189,plain,
    ( spl9_89
    | spl9_90
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(avatar_split_clause,[],[f392245,f243802,f7260,f7228,f411186,f411182]) ).

fof(f392245,plain,
    ( prop(err) = sK7(true,true)
    | true = sK7(true,true)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f392220,f318]) ).

fof(f392220,plain,
    ( true = sK7(true,true)
    | false1 = sK7(true,true)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(trivial_inequality_removal,[],[f392104]) ).

fof(f392104,plain,
    ( true != true
    | true = sK7(true,true)
    | false1 = sK7(true,true)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(superposition,[],[f1426,f392058]) ).

fof(f401916,plain,
    ( spl9_7
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67
    | spl9_88 ),
    inference(avatar_split_clause,[],[f401794,f401637,f243802,f7260,f7228,f539,f418,f1293]) ).

fof(f1293,plain,
    ( spl9_7
  <=> bool(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).

fof(f401794,plain,
    ( bool(err)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67
    | spl9_88 ),
    inference(backward_demodulation,[],[f392108,f401681]) ).

fof(f401681,plain,
    ( err = lazy_impl(true,sK7(true,true))
    | spl9_88 ),
    inference(unit_resulting_resolution,[],[f401639,f285]) ).

fof(f401639,plain,
    ( ~ d(sK7(true,true))
    | spl9_88 ),
    inference(avatar_component_clause,[],[f401637]) ).

fof(f392108,plain,
    ( bool(lazy_impl(true,sK7(true,true)))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(superposition,[],[f1928,f392058]) ).

fof(f391117,plain,
    ( spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(avatar_contradiction_clause,[],[f391110]) ).

fof(f391110,plain,
    ( $false
    | spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f382025,f135,f376187,f242,f391091,f182]) ).

fof(f391091,plain,
    ( ~ forallprefers(sK1,true)
    | spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f391039,f382026]) ).

fof(f391039,plain,
    ( ~ forallprefers(lazy_impl(true,sK1),true)
    | spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(superposition,[],[f390980,f248]) ).

fof(f390980,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sK1),true)
    | spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f390979,f383283]) ).

fof(f383283,plain,
    ( ! [X0] : sK1 = impl(sK1,X0)
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f376200,f382026]) ).

fof(f376200,plain,
    ( ! [X0] : impl(sK1,X0) = lazy_impl(true,sK1)
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f248218,f853]) ).

fof(f853,plain,
    ! [X0,X1] :
      ( lazy_impl(true,X0) = impl(X0,X1)
      | true = prop(X0) ),
    inference(resolution,[],[f444,f164]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( bool(X0)
      | lazy_impl(true,X0) = impl(X0,X1) ),
    inference(forward_demodulation,[],[f230,f213]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( lazy_and1(true,X0) = impl(X0,X1)
      | bool(X0) ),
    inference(definition_unfolding,[],[f174,f144]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( phi(X0) = impl(X0,X1)
      | bool(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( phi(X0) = impl(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = impl(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => impl(X2,X3) = phi(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f248218,plain,
    ( true != prop(sK1)
    | spl9_68 ),
    inference(avatar_component_clause,[],[f248217]) ).

fof(f248217,plain,
    ( spl9_68
  <=> true = prop(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_68])]) ).

fof(f390979,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sK1,X0)),true)
    | spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f390978,f382026]) ).

fof(f390978,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,sK1),X0)),true)
    | spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f390977,f383283]) ).

fof(f390977,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sK1,X0)),X0)),true)
    | spl9_10
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f390776,f325]) ).

fof(f390776,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sK1,X0)),X0)),lazy_impl(prop(err),impl(lazy_impl(true,impl(sK1,sK7(true,sK1))),sK7(true,sK1))))
    | spl9_10
    | ~ spl9_15 ),
    inference(superposition,[],[f239,f381085]) ).

fof(f381085,plain,
    ( prop(err) = prop(sK7(true,sK1))
    | spl9_10
    | ~ spl9_15 ),
    inference(unit_resulting_resolution,[],[f380954,f370]) ).

fof(f380954,plain,
    ( true != prop(sK7(true,sK1))
    | spl9_10
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f7229,f7261]) ).

fof(f376187,plain,
    ( ~ bool(sK1)
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f248218,f164]) ).

fof(f382025,plain,
    ( d(sK1)
    | spl9_66 ),
    inference(unit_resulting_resolution,[],[f243799,f285]) ).

fof(f382015,plain,
    ( spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(avatar_contradiction_clause,[],[f381995]) ).

fof(f381995,plain,
    ( $false
    | spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f1925,f381981]) ).

fof(f381981,plain,
    ( ~ forallprefers(err,true)
    | spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f381892,f305]) ).

fof(f305,plain,
    err = lazy_impl(true,err),
    inference(unit_resulting_resolution,[],[f137,f286]) ).

fof(f137,plain,
    d(err),
    inference(cnf_transformation,[],[f3]) ).

fof(f381892,plain,
    ( ~ forallprefers(lazy_impl(true,err),true)
    | spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(superposition,[],[f381824,f248]) ).

fof(f381824,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
    | spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f381823,f860]) ).

fof(f860,plain,
    ! [X0] : err = impl(err,X0),
    inference(forward_demodulation,[],[f849,f305]) ).

fof(f849,plain,
    ! [X0] : lazy_impl(true,err) = impl(err,X0),
    inference(unit_resulting_resolution,[],[f314,f444]) ).

fof(f381823,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(err,X0)),true)
    | spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f381822,f305]) ).

fof(f381822,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,err),X0)),true)
    | spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f381821,f380548]) ).

fof(f380548,plain,
    ( ! [X0] : err = impl(sK1,X0)
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f376200,f243800]) ).

fof(f381821,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sK1,X0)),X0)),true)
    | spl9_10
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f381486,f325]) ).

fof(f381486,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(sK1,X0)),X0)),lazy_impl(prop(err),impl(lazy_impl(true,impl(sK1,sK7(true,sK1))),sK7(true,sK1))))
    | spl9_10
    | ~ spl9_15 ),
    inference(superposition,[],[f239,f381085]) ).

fof(f1925,plain,
    forallprefers(err,true),
    inference(unit_resulting_resolution,[],[f242,f135,f314,f137,f182]) ).

fof(f380949,plain,
    ( ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(avatar_contradiction_clause,[],[f380948]) ).

fof(f380948,plain,
    ( $false
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(trivial_inequality_removal,[],[f380920]) ).

fof(f380920,plain,
    ( err != err
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f380911,f1229]) ).

fof(f1229,plain,
    ! [X0] :
      ( err != X0
      | lazy_and1(true,X0) = X0 ),
    inference(equality_factoring,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( err = lazy_and1(true,X0)
      | lazy_and1(true,X0) = X0 ),
    inference(definition_unfolding,[],[f150,f144,f144]) ).

fof(f150,plain,
    ! [X0] :
      ( err = phi(X0)
      | phi(X0) = X0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380911,plain,
    ( err != lazy_and1(true,err)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f380910,f305]) ).

fof(f380910,plain,
    ( err != lazy_and1(true,lazy_impl(true,err))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f380909,f243800]) ).

fof(f380909,plain,
    ( lazy_and1(true,lazy_impl(true,err)) != lazy_impl(true,sK1)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f380908,f860]) ).

fof(f380908,plain,
    ( lazy_impl(true,sK1) != lazy_and1(true,lazy_impl(true,impl(err,sK7(true,sK1))))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f380907,f305]) ).

fof(f380907,plain,
    ( lazy_impl(true,sK1) != lazy_and1(true,lazy_impl(true,impl(lazy_impl(true,err),sK7(true,sK1))))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f379416,f380548]) ).

fof(f379416,plain,
    ( lazy_impl(true,sK1) != lazy_and1(true,lazy_impl(true,impl(lazy_impl(true,impl(sK1,sK7(true,sK1))),sK7(true,sK1))))
    | ~ spl9_10
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f376131,f376129]) ).

fof(f376129,plain,
    ( true = prop(sK7(true,sK1))
    | ~ spl9_10
    | ~ spl9_15 ),
    inference(forward_demodulation,[],[f7230,f7261]) ).

fof(f379415,plain,
    ( ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(avatar_contradiction_clause,[],[f379391]) ).

fof(f379391,plain,
    ( $false
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f243799,f379388,f1227]) ).

fof(f1227,plain,
    ! [X0] :
      ( lazy_and1(true,X0) = X0
      | err = lazy_impl(true,X0) ),
    inference(superposition,[],[f213,f214]) ).

fof(f379388,plain,
    ( sK1 != lazy_and1(true,sK1)
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f379387,f376627]) ).

fof(f376627,plain,
    ( sK1 = lazy_impl(true,sK1)
    | spl9_66 ),
    inference(unit_resulting_resolution,[],[f243799,f307]) ).

fof(f379387,plain,
    ( sK1 != lazy_and1(true,lazy_impl(true,sK1))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f379386,f376129]) ).

fof(f379386,plain,
    ( sK1 != lazy_and1(true,lazy_impl(prop(sK7(true,sK1)),sK1))
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f379385,f377745]) ).

fof(f377745,plain,
    ( ! [X0] : sK1 = impl(sK1,X0)
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f377369,f376627]) ).

fof(f377369,plain,
    ( ! [X0] : impl(sK1,X0) = lazy_impl(true,sK1)
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f376189,f858]) ).

fof(f858,plain,
    ! [X0,X1] :
      ( prop(X0) != prop(err)
      | lazy_impl(true,X0) = impl(X0,X1) ),
    inference(resolution,[],[f444,f331]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ bool(X0)
      | prop(X0) != prop(err) ),
    inference(backward_demodulation,[],[f224,f318]) ).

fof(f224,plain,
    ! [X0] :
      ( prop(X0) != false1
      | ~ bool(X0) ),
    inference(definition_unfolding,[],[f161,f132]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false != prop(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f376189,plain,
    ( prop(err) = prop(sK1)
    | spl9_68 ),
    inference(unit_resulting_resolution,[],[f248218,f370]) ).

fof(f379385,plain,
    ( sK1 != lazy_and1(true,lazy_impl(prop(sK7(true,sK1)),impl(sK1,sK7(true,sK1))))
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f379384,f376627]) ).

fof(f379384,plain,
    ( sK1 != lazy_and1(true,lazy_impl(prop(sK7(true,sK1)),impl(lazy_impl(true,sK1),sK7(true,sK1))))
    | ~ spl9_15
    | spl9_66
    | spl9_68 ),
    inference(forward_demodulation,[],[f377858,f377745]) ).

fof(f377858,plain,
    ( sK1 != lazy_and1(true,lazy_impl(prop(sK7(true,sK1)),impl(lazy_impl(true,impl(sK1,sK7(true,sK1))),sK7(true,sK1))))
    | ~ spl9_15
    | spl9_66 ),
    inference(forward_demodulation,[],[f376131,f376627]) ).

fof(f376089,plain,
    ( ~ spl9_1
    | ~ spl9_4
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_22
    | spl9_26
    | ~ spl9_76 ),
    inference(avatar_contradiction_clause,[],[f376031]) ).

fof(f376031,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_4
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_22
    | spl9_26
    | ~ spl9_76 ),
    inference(unit_resulting_resolution,[],[f58067,f375855,f972]) ).

fof(f375855,plain,
    ( ! [X0] : ~ forallprefers(prop(X0),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_22
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f375854,f20404]) ).

fof(f375854,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,prop(X0)),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f375853,f17998]) ).

fof(f375853,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,impl(true,prop(X0))),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f375852,f304]) ).

fof(f375852,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,impl(lazy_impl(true,true),prop(X0))),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f375513,f306277]) ).

fof(f306277,plain,
    ( ! [X0] : true = impl(prop(err),prop(X0))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(duplicate_literal_removal,[],[f306276]) ).

fof(f306276,plain,
    ( ! [X0] :
        ( true = impl(prop(err),prop(X0))
        | true = impl(prop(err),prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(forward_demodulation,[],[f305406,f17998]) ).

fof(f305406,plain,
    ( ! [X0] :
        ( true = impl(prop(err),impl(true,prop(X0)))
        | true = impl(prop(err),prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f1946,f30796]) ).

fof(f30796,plain,
    ! [X0,X1] :
      ( impl(true,X0) = lazy_impl(X0,X1)
      | true = impl(prop(err),X0) ),
    inference(duplicate_literal_removal,[],[f30738]) ).

fof(f30738,plain,
    ! [X0,X1] :
      ( impl(true,X0) = lazy_impl(X0,X1)
      | true = impl(prop(err),X0)
      | true = impl(prop(err),X0) ),
    inference(superposition,[],[f842,f3733]) ).

fof(f3733,plain,
    ! [X0] :
      ( lazy_impl(true,X0) = impl(true,X0)
      | true = impl(prop(err),X0) ),
    inference(resolution,[],[f3654,f327]) ).

fof(f327,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(prop(err),X0) ),
    inference(backward_demodulation,[],[f219,f318]) ).

fof(f842,plain,
    ! [X0,X1] :
      ( lazy_impl(true,X0) = lazy_impl(X0,X1)
      | true = impl(prop(err),X0) ),
    inference(resolution,[],[f443,f327]) ).

fof(f1946,plain,
    ( ! [X0] : true = impl(prop(err),lazy_impl(prop(X0),X0))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(unit_resulting_resolution,[],[f1928,f327]) ).

fof(f375513,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,impl(lazy_impl(true,impl(prop(err),prop(X0))),prop(X0))),true)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_76 ),
    inference(superposition,[],[f336925,f18143]) ).

fof(f336925,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),true)
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f336924,f304]) ).

fof(f336924,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),lazy_impl(true,true))
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f336923,f248]) ).

fof(f336923,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),lazy_impl(prop(true),true))
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f336922,f274]) ).

fof(f336922,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),lazy_impl(prop(true),impl(true,true)))
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f336921,f304]) ).

fof(f336921,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),lazy_impl(prop(true),impl(lazy_impl(true,true),true)))
    | ~ spl9_76 ),
    inference(forward_demodulation,[],[f336914,f343]) ).

fof(f343,plain,
    true = impl(prop(err),true),
    inference(backward_demodulation,[],[f292,f318]) ).

fof(f292,plain,
    true = impl(false1,true),
    inference(unit_resulting_resolution,[],[f242,f219]) ).

fof(f336914,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),lazy_impl(prop(true),impl(lazy_impl(true,impl(prop(err),true)),true)))
    | ~ spl9_76 ),
    inference(superposition,[],[f239,f336875]) ).

fof(f336875,plain,
    ( true = sK7(true,prop(err))
    | ~ spl9_76 ),
    inference(avatar_component_clause,[],[f336873]) ).

fof(f336873,plain,
    ( spl9_76
  <=> true = sK7(true,prop(err)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_76])]) ).

fof(f336876,plain,
    ( spl9_76
    | spl9_49
    | ~ spl9_75 ),
    inference(avatar_split_clause,[],[f336783,f336698,f169450,f336873]) ).

fof(f336698,plain,
    ( spl9_75
  <=> true = lazy_impl(true,sK7(true,prop(err))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_75])]) ).

fof(f336783,plain,
    ( true = err
    | true = sK7(true,prop(err))
    | ~ spl9_75 ),
    inference(superposition,[],[f307,f336700]) ).

fof(f336700,plain,
    ( true = lazy_impl(true,sK7(true,prop(err)))
    | ~ spl9_75 ),
    inference(avatar_component_clause,[],[f336698]) ).

fof(f336701,plain,
    ( spl9_75
    | spl9_49
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(avatar_split_clause,[],[f329448,f248217,f243802,f20403,f7260,f7228,f539,f418,f169450,f336698]) ).

fof(f329448,plain,
    ( true = err
    | true = lazy_impl(true,sK7(true,prop(err)))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(superposition,[],[f307,f329228]) ).

fof(f329228,plain,
    ( true = lazy_impl(true,lazy_impl(true,sK7(true,prop(err))))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(unit_resulting_resolution,[],[f318640,f329214,f329]) ).

fof(f329214,plain,
    ( prop(err) != lazy_impl(true,lazy_impl(true,sK7(true,prop(err))))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(superposition,[],[f329066,f213]) ).

fof(f329066,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(true,sK7(true,prop(err))))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(backward_demodulation,[],[f318169,f306811]) ).

fof(f306811,plain,
    ( sK7(true,prop(err)) = impl(true,sK7(true,prop(err)))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(unit_resulting_resolution,[],[f306807,f918]) ).

fof(f306807,plain,
    ( true = prop(sK7(true,prop(err)))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306806,f7261]) ).

fof(f306806,plain,
    ( true = prop(sK7(sK0,prop(err)))
    | ~ spl9_10
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f7230,f250327]) ).

fof(f250327,plain,
    ( sK1 = prop(err)
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f250158,f318]) ).

fof(f250158,plain,
    ( false1 = sK1
    | spl9_67
    | ~ spl9_68 ),
    inference(unit_resulting_resolution,[],[f243804,f248219,f1426]) ).

fof(f248219,plain,
    ( true = prop(sK1)
    | ~ spl9_68 ),
    inference(avatar_component_clause,[],[f248217]) ).

fof(f243804,plain,
    ( true != sK1
    | spl9_67 ),
    inference(avatar_component_clause,[],[f243802]) ).

fof(f318169,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(true,impl(true,sK7(true,prop(err)))))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f318054,f304]) ).

fof(f318054,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(true,impl(lazy_impl(true,true),sK7(true,prop(err)))))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(backward_demodulation,[],[f317075,f306812]) ).

fof(f306812,plain,
    ( true = impl(prop(err),sK7(true,prop(err)))
    | ~ spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(unit_resulting_resolution,[],[f306807,f1501]) ).

fof(f1501,plain,
    ! [X0] :
      ( true != prop(X0)
      | true = impl(prop(err),X0) ),
    inference(superposition,[],[f210,f932]) ).

fof(f932,plain,
    ! [X0] :
      ( true = impl(prop(err),X0)
      | prop(X0) = false1 ),
    inference(forward_demodulation,[],[f296,f318]) ).

fof(f296,plain,
    ! [X0] :
      ( true = impl(false1,X0)
      | prop(X0) = false1 ),
    inference(resolution,[],[f219,f223]) ).

fof(f317075,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(true,impl(lazy_impl(true,impl(prop(err),sK7(true,prop(err)))),sK7(true,prop(err)))))
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306805,f306807]) ).

fof(f306805,plain,
    ( prop(err) != lazy_and1(true,lazy_impl(prop(sK7(true,prop(err))),impl(lazy_impl(true,impl(prop(err),sK7(true,prop(err)))),sK7(true,prop(err)))))
    | ~ spl9_15
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306804,f20404]) ).

fof(f306804,plain,
    ( lazy_impl(true,prop(err)) != lazy_and1(true,lazy_impl(prop(sK7(true,prop(err))),impl(lazy_impl(true,impl(prop(err),sK7(true,prop(err)))),sK7(true,prop(err)))))
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306803,f213]) ).

fof(f306803,plain,
    ( lazy_and1(true,prop(err)) != lazy_and1(true,lazy_impl(prop(sK7(true,prop(err))),impl(lazy_impl(true,impl(prop(err),sK7(true,prop(err)))),sK7(true,prop(err)))))
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306802,f7261]) ).

fof(f306802,plain,
    ( lazy_and1(sK0,prop(err)) != lazy_and1(true,lazy_impl(prop(sK7(sK0,prop(err))),impl(lazy_impl(sK0,impl(prop(err),sK7(sK0,prop(err)))),sK7(sK0,prop(err)))))
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f205,f250327]) ).

fof(f318640,plain,
    ( bool(lazy_impl(true,lazy_impl(true,sK7(true,prop(err)))))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(superposition,[],[f1928,f306903]) ).

fof(f306903,plain,
    ( true = prop(lazy_impl(true,sK7(true,prop(err))))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(superposition,[],[f1942,f306807]) ).

fof(f306203,plain,
    ( ~ spl9_4
    | ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_15
    | ~ spl9_21
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(avatar_split_clause,[],[f306108,f248217,f243802,f20403,f17997,f7260,f7228,f539,f418,f471]) ).

fof(f306108,plain,
    ( ~ forallprefers(prop(err),true)
    | ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_15
    | ~ spl9_21
    | ~ spl9_22
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306107,f20404]) ).

fof(f306107,plain,
    ( ~ forallprefers(lazy_impl(true,prop(err)),true)
    | ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_15
    | ~ spl9_21
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306106,f18143]) ).

fof(f306106,plain,
    ( ~ forallprefers(lazy_impl(prop(prop(err)),prop(err)),true)
    | spl9_10
    | ~ spl9_15
    | ~ spl9_21
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f306105,f17998]) ).

fof(f306105,plain,
    ( ~ forallprefers(lazy_impl(prop(prop(err)),impl(true,prop(err))),true)
    | spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f305795,f304]) ).

fof(f305795,plain,
    ( ~ forallprefers(lazy_impl(prop(prop(err)),impl(lazy_impl(true,true),prop(err))),true)
    | spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(superposition,[],[f257366,f344]) ).

fof(f257366,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),true)
    | spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f257162,f325]) ).

fof(f257162,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(true,impl(prop(err),X0)),X0)),lazy_impl(prop(err),impl(lazy_impl(true,impl(prop(err),sK7(true,prop(err)))),sK7(true,prop(err)))))
    | spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(superposition,[],[f239,f255248]) ).

fof(f255248,plain,
    ( prop(err) = prop(sK7(true,prop(err)))
    | spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f255133,f318]) ).

fof(f255133,plain,
    ( false1 = prop(sK7(true,prop(err)))
    | spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(unit_resulting_resolution,[],[f251690,f258]) ).

fof(f251690,plain,
    ( true != prop(sK7(true,prop(err)))
    | spl9_10
    | ~ spl9_15
    | spl9_67
    | ~ spl9_68 ),
    inference(forward_demodulation,[],[f236961,f250327]) ).

fof(f236961,plain,
    ( true != prop(sK7(true,sK1))
    | spl9_10
    | ~ spl9_15 ),
    inference(backward_demodulation,[],[f7229,f7261]) ).

fof(f249487,plain,
    ( spl9_49
    | spl9_11
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(avatar_split_clause,[],[f249187,f243802,f7260,f7232,f169450]) ).

fof(f249187,plain,
    ( true = err
    | spl9_11
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f249165,f304]) ).

fof(f249165,plain,
    ( err = lazy_impl(true,true)
    | spl9_11
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(unit_resulting_resolution,[],[f249163,f1227]) ).

fof(f249163,plain,
    ( true != lazy_and1(true,true)
    | spl9_11
    | ~ spl9_15
    | ~ spl9_67 ),
    inference(forward_demodulation,[],[f236962,f243803]) ).

fof(f236962,plain,
    ( true != lazy_and1(true,sK1)
    | spl9_11
    | ~ spl9_15 ),
    inference(backward_demodulation,[],[f7234,f7261]) ).

fof(f7234,plain,
    ( true != lazy_and1(sK0,sK1)
    | spl9_11 ),
    inference(avatar_component_clause,[],[f7232]) ).

fof(f236618,plain,
    ( ~ spl9_60
    | spl9_10
    | spl9_12
    | spl9_14
    | ~ spl9_50 ),
    inference(avatar_split_clause,[],[f236606,f197611,f7256,f7238,f7228,f211098]) ).

fof(f211098,plain,
    ( spl9_60
  <=> forallprefers(sK0,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_60])]) ).

fof(f7256,plain,
    ( spl9_14
  <=> err = lazy_impl(true,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).

fof(f197611,plain,
    ( spl9_50
  <=> sK0 = lazy_impl(true,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_50])]) ).

fof(f236606,plain,
    ( ~ forallprefers(sK0,true)
    | spl9_10
    | spl9_12
    | spl9_14
    | ~ spl9_50 ),
    inference(forward_demodulation,[],[f236531,f197613]) ).

fof(f197613,plain,
    ( sK0 = lazy_impl(true,sK0)
    | ~ spl9_50 ),
    inference(avatar_component_clause,[],[f197611]) ).

fof(f236531,plain,
    ( ~ forallprefers(lazy_impl(true,sK0),true)
    | spl9_10
    | spl9_12
    | spl9_14 ),
    inference(superposition,[],[f236500,f248]) ).

fof(f236500,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sK0),true)
    | spl9_10
    | spl9_12
    | spl9_14 ),
    inference(forward_demodulation,[],[f236499,f207788]) ).

fof(f207788,plain,
    ( ! [X0] : sK0 = impl(sK0,X0)
    | spl9_12
    | spl9_14 ),
    inference(forward_demodulation,[],[f170011,f205233]) ).

fof(f205233,plain,
    ( sK0 = impl(true,sK0)
    | spl9_14 ),
    inference(unit_resulting_resolution,[],[f7257,f17411]) ).

fof(f17411,plain,
    ! [X0] :
      ( err = lazy_impl(true,X0)
      | impl(true,X0) = X0 ),
    inference(duplicate_literal_removal,[],[f17306]) ).

fof(f17306,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | impl(true,X0) = X0
      | err = lazy_impl(true,X0) ),
    inference(superposition,[],[f3730,f307]) ).

fof(f3730,plain,
    ! [X0] :
      ( lazy_impl(true,X0) = impl(true,X0)
      | impl(true,X0) = X0 ),
    inference(resolution,[],[f3654,f157]) ).

fof(f7257,plain,
    ( err != lazy_impl(true,sK0)
    | spl9_14 ),
    inference(avatar_component_clause,[],[f7256]) ).

fof(f170011,plain,
    ( ! [X0] : impl(true,sK0) = impl(sK0,X0)
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f7239,f4925]) ).

fof(f4925,plain,
    ! [X0,X1] :
      ( impl(true,X0) = impl(X0,X1)
      | true = prop(X0) ),
    inference(duplicate_literal_removal,[],[f4906]) ).

fof(f4906,plain,
    ! [X0,X1] :
      ( impl(true,X0) = impl(X0,X1)
      | true = prop(X0)
      | true = prop(X0) ),
    inference(superposition,[],[f853,f3731]) ).

fof(f7239,plain,
    ( true != prop(sK0)
    | spl9_12 ),
    inference(avatar_component_clause,[],[f7238]) ).

fof(f236499,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sK0,X0)),true)
    | spl9_10
    | spl9_12
    | spl9_14 ),
    inference(forward_demodulation,[],[f194064,f207692]) ).

fof(f207692,plain,
    ( ! [X0] : sK0 = lazy_impl(sK0,X0)
    | spl9_12
    | spl9_14 ),
    inference(forward_demodulation,[],[f170010,f205233]) ).

fof(f170010,plain,
    ( ! [X0] : impl(true,sK0) = lazy_impl(sK0,X0)
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f7239,f4924]) ).

fof(f4924,plain,
    ! [X0,X1] :
      ( impl(true,X0) = lazy_impl(X0,X1)
      | true = prop(X0) ),
    inference(duplicate_literal_removal,[],[f4907]) ).

fof(f4907,plain,
    ! [X0,X1] :
      ( impl(true,X0) = lazy_impl(X0,X1)
      | true = prop(X0)
      | true = prop(X0) ),
    inference(superposition,[],[f840,f3731]) ).

fof(f194064,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(sK0,impl(sK1,X0)),X0)),true)
    | spl9_10 ),
    inference(forward_demodulation,[],[f193844,f325]) ).

fof(f193844,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(lazy_impl(sK0,impl(sK1,X0)),X0)),lazy_impl(prop(err),impl(lazy_impl(sK0,impl(sK1,sK7(sK0,sK1))),sK7(sK0,sK1))))
    | spl9_10 ),
    inference(superposition,[],[f239,f193496]) ).

fof(f193496,plain,
    ( prop(sK7(sK0,sK1)) = prop(err)
    | spl9_10 ),
    inference(unit_resulting_resolution,[],[f7229,f370]) ).

fof(f211125,plain,
    ( spl9_12
    | spl9_14
    | spl9_60 ),
    inference(avatar_contradiction_clause,[],[f211115]) ).

fof(f211115,plain,
    ( $false
    | spl9_12
    | spl9_14
    | spl9_60 ),
    inference(unit_resulting_resolution,[],[f205228,f135,f169951,f242,f211100,f182]) ).

fof(f211100,plain,
    ( ~ forallprefers(sK0,true)
    | spl9_60 ),
    inference(avatar_component_clause,[],[f211098]) ).

fof(f169951,plain,
    ( ~ bool(sK0)
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f7239,f164]) ).

fof(f205228,plain,
    ( d(sK0)
    | spl9_14 ),
    inference(unit_resulting_resolution,[],[f7257,f285]) ).

fof(f204689,plain,
    ( ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_14
    | ~ spl9_19
    | ~ spl9_21
    | ~ spl9_22
    | ~ spl9_50 ),
    inference(avatar_contradiction_clause,[],[f204617]) ).

fof(f204617,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_6
    | spl9_10
    | ~ spl9_14
    | ~ spl9_19
    | ~ spl9_21
    | ~ spl9_22
    | ~ spl9_50 ),
    inference(unit_resulting_resolution,[],[f18154,f20416,f13801,f13802,f204551,f182]) ).

fof(f204551,plain,
    ( ~ bool(sK7(err,sK1))
    | spl9_10
    | ~ spl9_14
    | ~ spl9_50 ),
    inference(backward_demodulation,[],[f193494,f204540]) ).

fof(f204540,plain,
    ( err = sK0
    | ~ spl9_14
    | ~ spl9_50 ),
    inference(forward_demodulation,[],[f197613,f7258]) ).

fof(f7258,plain,
    ( err = lazy_impl(true,sK0)
    | ~ spl9_14 ),
    inference(avatar_component_clause,[],[f7256]) ).

fof(f193494,plain,
    ( ~ bool(sK7(sK0,sK1))
    | spl9_10 ),
    inference(unit_resulting_resolution,[],[f7229,f164]) ).

fof(f13802,plain,
    ( ! [X0] : d(sK7(err,X0))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_19 ),
    inference(backward_demodulation,[],[f9799,f13799]) ).

fof(f13799,plain,
    ( ! [X0] : sK7(err,X0) = lazy_impl(true,sK7(err,X0))
    | ~ spl9_19 ),
    inference(avatar_component_clause,[],[f13798]) ).

fof(f13798,plain,
    ( spl9_19
  <=> ! [X0] : sK7(err,X0) = lazy_impl(true,sK7(err,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).

fof(f9799,plain,
    ( ! [X0] : d(lazy_impl(true,sK7(err,X0)))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f738,f9723]) ).

fof(f9723,plain,
    ( ! [X0] : true = prop(sK7(err,X0))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(unit_resulting_resolution,[],[f9654,f2031]) ).

fof(f2031,plain,
    ( ! [X0] :
        ( forallprefers(err,lazy_impl(prop(X0),err))
        | true = prop(X0) )
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f1944,f370]) ).

fof(f1944,plain,
    ( ! [X0] : forallprefers(err,lazy_impl(prop(X0),X0))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(unit_resulting_resolution,[],[f314,f137,f738,f1928,f182]) ).

fof(f9654,plain,
    ! [X0] : ~ forallprefers(err,lazy_impl(prop(sK7(err,X0)),err)),
    inference(forward_demodulation,[],[f9611,f305]) ).

fof(f9611,plain,
    ! [X0] : ~ forallprefers(lazy_impl(true,err),lazy_impl(prop(sK7(err,X0)),err)),
    inference(superposition,[],[f9219,f248]) ).

fof(f9219,plain,
    ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),err),lazy_impl(prop(sK7(err,X0)),err)),
    inference(forward_demodulation,[],[f9218,f860]) ).

fof(f9218,plain,
    ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),lazy_impl(prop(sK7(err,X0)),err)),
    inference(forward_demodulation,[],[f9217,f860]) ).

fof(f9217,plain,
    ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),lazy_impl(prop(sK7(err,X0)),impl(err,sK7(err,X0)))),
    inference(forward_demodulation,[],[f9121,f847]) ).

fof(f847,plain,
    ! [X0] : err = lazy_impl(err,X0),
    inference(forward_demodulation,[],[f836,f305]) ).

fof(f836,plain,
    ! [X0] : lazy_impl(true,err) = lazy_impl(err,X0),
    inference(unit_resulting_resolution,[],[f314,f443]) ).

fof(f9121,plain,
    ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),lazy_impl(prop(sK7(err,X0)),impl(lazy_impl(err,impl(X0,sK7(err,X0))),sK7(err,X0)))),
    inference(superposition,[],[f239,f847]) ).

fof(f13801,plain,
    ( ! [X0] : ~ forallprefers(sK7(err,X0),prop(err))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_19 ),
    inference(backward_demodulation,[],[f9798,f13799]) ).

fof(f9798,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(true,sK7(err,X0)),prop(err))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f736,f9723]) ).

fof(f20416,plain,
    ( ! [X0] : d(prop(X0))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21
    | ~ spl9_22 ),
    inference(backward_demodulation,[],[f18210,f20404]) ).

fof(f18210,plain,
    ( ! [X0] : d(lazy_impl(true,prop(X0)))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(superposition,[],[f738,f18143]) ).

fof(f18154,plain,
    ( ! [X0] : bool(prop(X0))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(unit_resulting_resolution,[],[f18143,f163]) ).

fof(f163,plain,
    ! [X0] :
      ( true != prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f204507,plain,
    ( spl9_10
    | spl9_12
    | ~ spl9_51 ),
    inference(avatar_contradiction_clause,[],[f204489]) ).

fof(f204489,plain,
    ( $false
    | spl9_10
    | spl9_12
    | ~ spl9_51 ),
    inference(unit_resulting_resolution,[],[f1925,f204479]) ).

fof(f204479,plain,
    ( ~ forallprefers(err,true)
    | spl9_10
    | spl9_12
    | ~ spl9_51 ),
    inference(forward_demodulation,[],[f204420,f305]) ).

fof(f204420,plain,
    ( ~ forallprefers(lazy_impl(true,err),true)
    | spl9_10
    | spl9_12
    | ~ spl9_51 ),
    inference(superposition,[],[f204365,f248]) ).

fof(f204365,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),true)
    | spl9_10
    | spl9_12
    | ~ spl9_51 ),
    inference(forward_demodulation,[],[f204286,f325]) ).

fof(f204286,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),err),lazy_impl(prop(err),err))
    | spl9_10
    | spl9_12
    | ~ spl9_51 ),
    inference(superposition,[],[f198002,f193496]) ).

fof(f198002,plain,
    ( ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),err),lazy_impl(prop(sK7(sK0,X0)),err))
    | spl9_12
    | ~ spl9_51 ),
    inference(forward_demodulation,[],[f198001,f860]) ).

fof(f198001,plain,
    ( ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),lazy_impl(prop(sK7(sK0,X0)),err))
    | spl9_12
    | ~ spl9_51 ),
    inference(forward_demodulation,[],[f198000,f860]) ).

fof(f198000,plain,
    ( ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),lazy_impl(prop(sK7(sK0,X0)),impl(err,sK7(sK0,X0))))
    | spl9_12
    | ~ spl9_51 ),
    inference(forward_demodulation,[],[f197976,f197620]) ).

fof(f197620,plain,
    ( ! [X0] : err = lazy_impl(sK0,X0)
    | spl9_12
    | ~ spl9_51 ),
    inference(backward_demodulation,[],[f170010,f197617]) ).

fof(f197617,plain,
    ( err = impl(true,sK0)
    | ~ spl9_51 ),
    inference(avatar_component_clause,[],[f197615]) ).

fof(f197615,plain,
    ( spl9_51
  <=> err = impl(true,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_51])]) ).

fof(f197976,plain,
    ( ! [X0,X1] : ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),lazy_impl(prop(sK7(sK0,X0)),impl(lazy_impl(sK0,impl(X0,sK7(sK0,X0))),sK7(sK0,X0))))
    | spl9_12
    | ~ spl9_51 ),
    inference(superposition,[],[f239,f197620]) ).

fof(f197618,plain,
    ( spl9_50
    | spl9_51
    | spl9_12 ),
    inference(avatar_split_clause,[],[f188011,f7238,f197615,f197611]) ).

fof(f188011,plain,
    ( err = impl(true,sK0)
    | sK0 = lazy_impl(true,sK0)
    | spl9_12 ),
    inference(superposition,[],[f170006,f307]) ).

fof(f170006,plain,
    ( impl(true,sK0) = lazy_impl(true,sK0)
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f7239,f3731]) ).

fof(f192736,plain,
    ( ~ spl9_10
    | spl9_12 ),
    inference(avatar_contradiction_clause,[],[f192723]) ).

fof(f192723,plain,
    ( $false
    | ~ spl9_10
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f192611,f192661]) ).

fof(f192661,plain,
    ( err = sK0
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f192660,f192610]) ).

fof(f192610,plain,
    ( err = lazy_and1(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f192608,f214]) ).

fof(f192608,plain,
    ( sK0 != lazy_and1(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f192607,f191372]) ).

fof(f191372,plain,
    ( sK0 = lazy_impl(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(backward_demodulation,[],[f170006,f191369]) ).

fof(f191369,plain,
    ( sK0 = impl(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(trivial_inequality_removal,[],[f191368]) ).

fof(f191368,plain,
    ( err != err
    | sK0 = impl(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f191367,f305]) ).

fof(f191367,plain,
    ( err != lazy_impl(true,err)
    | sK0 = impl(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f191366,f305]) ).

fof(f191366,plain,
    ( err != lazy_impl(true,lazy_impl(true,err))
    | sK0 = impl(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f191365,f213]) ).

fof(f191365,plain,
    ( err != lazy_and1(true,lazy_impl(true,err))
    | sK0 = impl(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f191347,f860]) ).

fof(f191347,plain,
    ( err != lazy_and1(true,lazy_impl(true,impl(err,sK7(sK0,sK1))))
    | sK0 = impl(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(superposition,[],[f183299,f17398]) ).

fof(f17398,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | err = impl(true,X0) ),
    inference(duplicate_literal_removal,[],[f17333]) ).

fof(f17333,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | err = impl(true,X0)
      | impl(true,X0) = X0 ),
    inference(superposition,[],[f307,f3730]) ).

fof(f183299,plain,
    ( impl(true,sK0) != lazy_and1(true,lazy_impl(true,impl(impl(true,sK0),sK7(sK0,sK1))))
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f183298,f178041]) ).

fof(f178041,plain,
    ( ! [X0] : impl(true,sK0) = lazy_and1(sK0,X0)
    | spl9_12 ),
    inference(backward_demodulation,[],[f169960,f170006]) ).

fof(f169960,plain,
    ( ! [X0] : lazy_impl(true,sK0) = lazy_and1(sK0,X0)
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f7239,f814]) ).

fof(f814,plain,
    ! [X0,X1] :
      ( lazy_and1(X0,X1) = lazy_impl(true,X0)
      | true = prop(X0) ),
    inference(resolution,[],[f441,f164]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( bool(X0)
      | lazy_and1(X0,X1) = lazy_impl(true,X0) ),
    inference(forward_demodulation,[],[f227,f213]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( lazy_and1(X0,X1) = lazy_and1(true,X0)
      | bool(X0) ),
    inference(definition_unfolding,[],[f171,f144]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( phi(X0) = lazy_and1(X0,X1)
      | bool(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( phi(X0) = lazy_and1(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = lazy_and1(X0,X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => phi(X2) = lazy_and1(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f183298,plain,
    ( lazy_and1(sK0,sK1) != lazy_and1(true,lazy_impl(true,impl(impl(true,sK0),sK7(sK0,sK1))))
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f183297,f7230]) ).

fof(f183297,plain,
    ( lazy_and1(sK0,sK1) != lazy_and1(true,lazy_impl(prop(sK7(sK0,sK1)),impl(impl(true,sK0),sK7(sK0,sK1))))
    | spl9_12 ),
    inference(forward_demodulation,[],[f205,f170010]) ).

fof(f192607,plain,
    ( sK0 != lazy_and1(true,lazy_impl(true,sK0))
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f191384,f191374]) ).

fof(f191374,plain,
    ( ! [X0] : sK0 = impl(sK0,X0)
    | ~ spl9_10
    | spl9_12 ),
    inference(backward_demodulation,[],[f170011,f191369]) ).

fof(f191384,plain,
    ( sK0 != lazy_and1(true,lazy_impl(true,impl(sK0,sK7(sK0,sK1))))
    | ~ spl9_10
    | spl9_12 ),
    inference(backward_demodulation,[],[f183299,f191369]) ).

fof(f192660,plain,
    ( sK0 = lazy_and1(true,sK0)
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f192659,f191372]) ).

fof(f192659,plain,
    ( lazy_impl(true,sK0) = lazy_and1(true,lazy_impl(true,sK0))
    | ~ spl9_10
    | spl9_12 ),
    inference(forward_demodulation,[],[f192624,f213]) ).

fof(f192624,plain,
    ( lazy_and1(true,sK0) = lazy_and1(true,lazy_and1(true,sK0))
    | ~ spl9_10
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f192610,f1229]) ).

fof(f192611,plain,
    ( err != sK0
    | ~ spl9_10
    | spl9_12 ),
    inference(unit_resulting_resolution,[],[f192608,f1229]) ).

fof(f173694,plain,
    ~ spl9_26,
    inference(avatar_split_clause,[],[f319,f58066]) ).

fof(f319,plain,
    true != prop(err),
    inference(unit_resulting_resolution,[],[f314,f163]) ).

fof(f173356,plain,
    ~ spl9_7,
    inference(avatar_split_clause,[],[f314,f1293]) ).

fof(f173295,plain,
    ~ spl9_49,
    inference(avatar_contradiction_clause,[],[f173291]) ).

fof(f173291,plain,
    ( $false
    | ~ spl9_49 ),
    inference(unit_resulting_resolution,[],[f139,f169452]) ).

fof(f169452,plain,
    ( true = err
    | ~ spl9_49 ),
    inference(avatar_component_clause,[],[f169450]) ).

fof(f20405,plain,
    ( spl9_22
    | spl9_7
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(avatar_split_clause,[],[f18507,f17997,f539,f418,f1293,f20403]) ).

fof(f18507,plain,
    ( ! [X0] :
        ( bool(err)
        | prop(X0) = lazy_impl(true,prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(superposition,[],[f18237,f307]) ).

fof(f18237,plain,
    ( ! [X0] : bool(lazy_impl(true,prop(X0)))
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_21 ),
    inference(superposition,[],[f1928,f18143]) ).

fof(f17999,plain,
    ( spl9_21
    | spl9_7
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(avatar_split_clause,[],[f17948,f539,f418,f1293,f17997]) ).

fof(f17948,plain,
    ( ! [X0] :
        ( bool(err)
        | prop(X0) = impl(true,prop(X0)) )
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f1928,f17696]) ).

fof(f17696,plain,
    ! [X0,X1] :
      ( err = lazy_impl(X0,X1)
      | impl(true,X0) = X0 ),
    inference(duplicate_literal_removal,[],[f17642]) ).

fof(f17642,plain,
    ! [X0,X1] :
      ( err = lazy_impl(X0,X1)
      | impl(true,X0) = X0
      | impl(true,X0) = X0 ),
    inference(superposition,[],[f839,f17411]) ).

fof(f839,plain,
    ! [X0,X1] :
      ( lazy_impl(true,X0) = lazy_impl(X0,X1)
      | impl(true,X0) = X0 ),
    inference(resolution,[],[f443,f157]) ).

fof(f13800,plain,
    ( spl9_19
    | spl9_7
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(avatar_split_clause,[],[f9980,f539,f418,f1293,f13798]) ).

fof(f9980,plain,
    ( ! [X0] :
        ( bool(err)
        | sK7(err,X0) = lazy_impl(true,sK7(err,X0)) )
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f9821,f307]) ).

fof(f9821,plain,
    ( ! [X0] : bool(lazy_impl(true,sK7(err,X0)))
    | ~ spl9_1
    | ~ spl9_6 ),
    inference(superposition,[],[f1928,f9723]) ).

fof(f7235,plain,
    ( spl9_10
    | ~ spl9_11 ),
    inference(avatar_split_clause,[],[f7188,f7232,f7228]) ).

fof(f7188,plain,
    ( true != lazy_and1(sK0,sK1)
    | true = prop(sK7(sK0,sK1)) ),
    inference(forward_demodulation,[],[f7187,f304]) ).

fof(f7187,plain,
    ( lazy_and1(sK0,sK1) != lazy_impl(true,true)
    | true = prop(sK7(sK0,sK1)) ),
    inference(forward_demodulation,[],[f7186,f213]) ).

fof(f7186,plain,
    ( lazy_and1(sK0,sK1) != lazy_and1(true,true)
    | true = prop(sK7(sK0,sK1)) ),
    inference(forward_demodulation,[],[f7185,f325]) ).

fof(f7185,plain,
    ( lazy_and1(sK0,sK1) != lazy_and1(true,lazy_impl(prop(err),impl(lazy_impl(sK0,impl(sK1,sK7(sK0,sK1))),sK7(sK0,sK1))))
    | true = prop(sK7(sK0,sK1)) ),
    inference(forward_demodulation,[],[f7150,f318]) ).

fof(f7150,plain,
    ( lazy_and1(sK0,sK1) != lazy_and1(true,lazy_impl(false1,impl(lazy_impl(sK0,impl(sK1,sK7(sK0,sK1))),sK7(sK0,sK1))))
    | true = prop(sK7(sK0,sK1)) ),
    inference(superposition,[],[f205,f258]) ).

fof(f675,plain,
    spl9_4,
    inference(avatar_split_clause,[],[f334,f471]) ).

fof(f334,plain,
    forallprefers(prop(err),true),
    inference(backward_demodulation,[],[f247,f318]) ).

fof(f247,plain,
    forallprefers(false1,true),
    inference(equality_resolution,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( forallprefers(X0,true)
      | false1 != X0 ),
    inference(equality_resolution,[],[f235]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | true != X1
      | false1 != X0 ),
    inference(definition_unfolding,[],[f183,f132]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | true != X1
      | false != X0 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f563,plain,
    ( ~ spl9_4
    | ~ spl9_1
    | ~ spl9_5 ),
    inference(avatar_split_clause,[],[f557,f535,f418,f471]) ).

fof(f535,plain,
    ( spl9_5
  <=> true = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f557,plain,
    ( ~ forallprefers(prop(err),true)
    | ~ spl9_1
    | ~ spl9_5 ),
    inference(forward_demodulation,[],[f544,f304]) ).

fof(f544,plain,
    ( ~ forallprefers(prop(err),lazy_impl(true,true))
    | ~ spl9_1
    | ~ spl9_5 ),
    inference(backward_demodulation,[],[f482,f537]) ).

fof(f537,plain,
    ( true = sK8
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f482,plain,
    ( ~ forallprefers(prop(err),lazy_impl(true,sK8))
    | ~ spl9_1 ),
    inference(backward_demodulation,[],[f451,f420]) ).

fof(f451,plain,
    ~ forallprefers(prop(err),lazy_impl(prop(sK8),sK8)),
    inference(forward_demodulation,[],[f446,f347]) ).

fof(f446,plain,
    ~ forallprefers(lazy_impl(true,prop(err)),lazy_impl(prop(sK8),sK8)),
    inference(superposition,[],[f240,f335]) ).

fof(f335,plain,
    true = prop(prop(err)),
    inference(backward_demodulation,[],[f249,f318]) ).

fof(f249,plain,
    true = prop(false1),
    inference(unit_resulting_resolution,[],[f243,f164]) ).

fof(f542,plain,
    ( spl9_5
    | spl9_6
    | ~ spl9_1 ),
    inference(avatar_split_clause,[],[f533,f418,f539,f535]) ).

fof(f533,plain,
    ( sK8 = prop(err)
    | true = sK8
    | ~ spl9_1 ),
    inference(resolution,[],[f329,f487]) ).

fof(f487,plain,
    ( bool(sK8)
    | ~ spl9_1 ),
    inference(unit_resulting_resolution,[],[f420,f163]) ).

fof(f474,plain,
    ( spl9_1
    | ~ spl9_4 ),
    inference(avatar_split_clause,[],[f461,f471,f418]) ).

fof(f461,plain,
    ( ~ forallprefers(prop(err),true)
    | true = prop(sK8) ),
    inference(forward_demodulation,[],[f460,f325]) ).

fof(f460,plain,
    ( ~ forallprefers(prop(err),lazy_impl(prop(err),sK8))
    | true = prop(sK8) ),
    inference(forward_demodulation,[],[f459,f318]) ).

fof(f459,plain,
    ( ~ forallprefers(prop(err),lazy_impl(false1,sK8))
    | true = prop(sK8) ),
    inference(superposition,[],[f451,f258]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW097+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Jun 19 05:18:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35  Running first-order model finding
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (30763)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (30762)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (30765)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (30764)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (30759)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (30761)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (30760)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.43  Detected minimum model sizes of [3]
% 0.21/0.43  Detected maximum model sizes of [max]
% 0.21/0.43  Detected minimum model sizes of [3]
% 0.21/0.43  Detected maximum model sizes of [max]
% 0.21/0.43  Detected minimum model sizes of [3]
% 0.21/0.43  Detected maximum model sizes of [max]
% 0.21/0.43  TRYING [3]
% 0.21/0.44  TRYING [4]
% 0.21/0.48  % (30763)Instruction limit reached!
% 0.21/0.48  % (30763)------------------------------
% 0.21/0.48  % (30763)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (30763)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (30763)Termination reason: Time limit
% 0.21/0.48  % (30763)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (30763)Memory used [KB]: 1715
% 0.21/0.48  % (30763)Time elapsed: 0.061 s
% 0.21/0.48  % (30763)Instructions burned: 105 (million)
% 0.21/0.48  % (30765)Instruction limit reached!
% 0.21/0.48  % (30765)------------------------------
% 0.21/0.48  % (30765)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (30765)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (30765)Termination reason: Time limit
% 0.21/0.48  % (30765)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (30765)Memory used [KB]: 2398
% 0.21/0.48  % (30765)Time elapsed: 0.062 s
% 0.21/0.48  % (30765)Instructions burned: 115 (million)
% 0.21/0.49  TRYING [10]
% 0.21/0.50  % (30764)Instruction limit reached!
% 0.21/0.50  % (30764)------------------------------
% 0.21/0.50  % (30764)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50  % (30764)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50  % (30764)Termination reason: Time limit
% 0.21/0.50  % (30764)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (30764)Memory used [KB]: 2301
% 0.21/0.50  % (30764)Time elapsed: 0.081 s
% 0.21/0.50  % (30764)Instructions burned: 148 (million)
% 0.21/0.50  TRYING [5]
% 0.21/0.52  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (30767)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.52  % (30758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (30766)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.29/0.54  % (30758)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.54  % (30768)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.41/0.57  % (30767)Instruction limit reached!
% 1.41/0.57  % (30767)------------------------------
% 1.41/0.57  % (30767)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.41/0.57  % (30767)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.41/0.57  % (30767)Termination reason: Time limit
% 1.41/0.57  % (30767)Termination phase: Saturation
% 1.41/0.57  
% 1.41/0.57  % (30767)Memory used [KB]: 2659
% 1.41/0.57  % (30767)Time elapsed: 0.055 s
% 1.41/0.57  % (30767)Instructions burned: 175 (million)
% 1.41/0.62  % (30768)Instruction limit reached!
% 1.41/0.62  % (30768)------------------------------
% 1.41/0.62  % (30768)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.41/0.62  % (30768)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.41/0.62  % (30768)Termination reason: Time limit
% 1.41/0.62  % (30768)Termination phase: Saturation
% 1.41/0.62  
% 1.41/0.62  % (30768)Memory used [KB]: 2151
% 1.41/0.62  % (30768)Time elapsed: 0.089 s
% 1.41/0.62  % (30768)Instructions burned: 273 (million)
% 1.95/0.63  % (30758)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.63  % (30769)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.95/0.66  % (30758)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.66  % (30770)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.95/0.67  % (30766)Instruction limit reached!
% 1.95/0.67  % (30766)------------------------------
% 1.95/0.67  % (30766)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.95/0.67  % (30766)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.95/0.67  % (30766)Termination reason: Time limit
% 1.95/0.67  % (30766)Termination phase: Saturation
% 1.95/0.67  
% 1.95/0.67  % (30766)Memory used [KB]: 3876
% 1.95/0.67  % (30766)Time elapsed: 0.142 s
% 1.95/0.67  % (30766)Instructions burned: 406 (million)
% 1.95/0.67  Detected minimum model sizes of [3]
% 1.95/0.67  Detected maximum model sizes of [max]
% 1.95/0.67  TRYING [3]
% 1.95/0.68  TRYING [4]
% 2.18/0.71  % (30758)Running in auto input_syntax mode. Trying TPTP
% 2.18/0.71  % (30771)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.18/0.73  TRYING [5]
% 2.46/0.76  TRYING [6]
% 2.85/0.87  % (30769)Instruction limit reached!
% 2.85/0.87  % (30769)------------------------------
% 2.85/0.87  % (30769)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.85/0.87  % (30769)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.85/0.87  % (30769)Termination reason: Time limit
% 2.85/0.87  % (30769)Termination phase: Saturation
% 2.85/0.87  
% 2.85/0.87  % (30769)Memory used [KB]: 5159
% 2.85/0.87  % (30769)Time elapsed: 0.271 s
% 2.85/0.87  % (30769)Instructions burned: 900 (million)
% 2.85/0.91  % (30758)Running in auto input_syntax mode. Trying TPTP
% 2.85/0.91  % (30772)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 2.85/0.92  TRYING [6]
% 5.62/1.16  TRYING [23]
% 5.62/1.20  % (30772)Instruction limit reached!
% 5.62/1.20  % (30772)------------------------------
% 5.62/1.20  % (30772)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.62/1.20  % (30772)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.62/1.20  % (30772)Termination reason: Time limit
% 5.62/1.20  % (30772)Termination phase: Saturation
% 5.62/1.20  
% 5.62/1.20  % (30772)Memory used [KB]: 5033
% 5.62/1.20  % (30772)Time elapsed: 0.293 s
% 5.62/1.20  % (30772)Instructions burned: 1187 (million)
% 6.10/1.24  % (30758)Running in auto input_syntax mode. Trying TPTP
% 6.10/1.24  % (30773)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2991ds/23580Mi)
% 6.10/1.24  Detected minimum model sizes of [3]
% 6.10/1.24  Detected maximum model sizes of [max]
% 6.10/1.24  TRYING [3]
% 6.10/1.26  TRYING [4]
% 6.35/1.28  TRYING [7]
% 6.35/1.31  TRYING [5]
% 6.35/1.33  TRYING [7]
% 6.95/1.38  % (30771)Instruction limit reached!
% 6.95/1.38  % (30771)------------------------------
% 6.95/1.38  % (30771)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.95/1.38  % (30771)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.95/1.38  % (30771)Termination reason: Time limit
% 6.95/1.38  % (30771)Termination phase: Saturation
% 6.95/1.38  
% 6.95/1.38  % (30771)Memory used [KB]: 10479
% 6.95/1.38  % (30771)Time elapsed: 0.665 s
% 6.95/1.38  % (30771)Instructions burned: 2147 (million)
% 6.95/1.42  % (30758)Running in auto input_syntax mode. Trying TPTP
% 6.95/1.42  % (30774)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2989ds/2892Mi)
% 6.95/1.42  Detected minimum model sizes of [3]
% 6.95/1.42  Detected maximum model sizes of [max]
% 7.27/1.45  TRYING [6]
% 9.26/1.69  TRYING [17]
% 9.82/1.80  TRYING [7]
% 11.34/2.00  % (30774)Instruction limit reached!
% 11.34/2.00  % (30774)------------------------------
% 11.34/2.00  % (30774)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.34/2.00  % (30774)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.34/2.00  % (30774)Termination reason: Time limit
% 11.34/2.00  % (30774)Termination phase: Finite model building constraint generation
% 11.34/2.00  
% 11.34/2.00  % (30774)Memory used [KB]: 157530
% 11.34/2.00  % (30774)Time elapsed: 0.582 s
% 11.34/2.00  % (30774)Instructions burned: 2896 (million)
% 11.89/2.06  TRYING [8]
% 11.89/2.07  % (30758)Running in auto input_syntax mode. Trying TPTP
% 11.89/2.07  % (30775)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2983ds/1693Mi)
% 14.70/2.51  % (30770)Instruction limit reached!
% 14.70/2.51  % (30770)------------------------------
% 14.70/2.51  % (30770)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.70/2.51  % (30770)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.70/2.51  % (30770)Termination reason: Time limit
% 14.70/2.51  % (30770)Termination phase: Finite model building SAT solving
% 14.70/2.51  
% 14.70/2.51  % (30770)Memory used [KB]: 23600
% 14.70/2.51  % (30770)Time elapsed: 1.849 s
% 14.70/2.51  % (30770)Instructions burned: 7860 (million)
% 14.70/2.54  TRYING [8]
% 15.32/2.55  % (30775)Instruction limit reached!
% 15.32/2.55  % (30775)------------------------------
% 15.32/2.55  % (30775)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.32/2.55  % (30775)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.32/2.55  % (30775)Termination reason: Time limit
% 15.32/2.55  % (30775)Termination phase: Saturation
% 15.32/2.55  
% 15.32/2.55  % (30775)Memory used [KB]: 7034
% 15.32/2.55  % (30775)Time elapsed: 0.503 s
% 15.32/2.55  % (30775)Instructions burned: 1694 (million)
% 15.32/2.55  % (30758)Running in auto input_syntax mode. Trying TPTP
% 15.32/2.55  % (30776)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2978ds/1735Mi)
% 15.53/2.59  % (30758)Running in auto input_syntax mode. Trying TPTP
% 15.53/2.59  % (30777)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2978ds/131798Mi)
% 15.53/2.59  Detected minimum model sizes of [3,3,3]
% 15.53/2.59  Detected maximum model sizes of [max,max,max]
% 15.53/2.59  TRYING [4,4,4]
% 15.83/2.65  TRYING [5,4,4]
% 15.83/2.66  TRYING [8]
% 16.87/2.79  TRYING [6,4,4]
% 18.95/3.09  TRYING [7,4,4]
% 18.95/3.11  % (30776)Instruction limit reached!
% 18.95/3.11  % (30776)------------------------------
% 18.95/3.11  % (30776)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.95/3.11  % (30776)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.95/3.11  % (30776)Termination reason: Time limit
% 18.95/3.11  % (30776)Termination phase: Saturation
% 18.95/3.11  
% 18.95/3.11  % (30776)Memory used [KB]: 23869
% 18.95/3.11  % (30776)Time elapsed: 0.555 s
% 18.95/3.11  % (30776)Instructions burned: 1738 (million)
% 18.95/3.15  % (30758)Running in auto input_syntax mode. Trying TPTP
% 18.95/3.15  % (30778)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2972ds/3451Mi)
% 18.95/3.15  Detected minimum model sizes of [3]
% 18.95/3.15  Detected maximum model sizes of [max]
% 20.69/3.34  TRYING [16]
% 23.22/3.74  TRYING [8,4,4]
% 23.93/3.80  % (30778)Instruction limit reached!
% 23.93/3.80  % (30778)------------------------------
% 23.93/3.80  % (30778)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.93/3.80  % (30778)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.93/3.80  % (30778)Termination reason: Time limit
% 23.93/3.80  % (30778)Termination phase: Finite model building constraint generation
% 23.93/3.80  
% 23.93/3.80  % (30778)Memory used [KB]: 210527
% 23.93/3.80  % (30778)Time elapsed: 0.659 s
% 23.93/3.80  % (30778)Instructions burned: 3456 (million)
% 24.37/3.87  % (30758)Running in auto input_syntax mode. Trying TPTP
% 24.37/3.87  % (30779)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2965ds/3978Mi)
% 26.98/4.33  TRYING [9]
% 31.50/4.90  % (30779)Instruction limit reached!
% 31.50/4.90  % (30779)------------------------------
% 31.50/4.90  % (30779)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 31.50/4.90  % (30779)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 31.50/4.90  % (30779)Termination reason: Time limit
% 31.50/4.90  % (30779)Termination phase: Saturation
% 31.50/4.90  
% 31.50/4.90  % (30779)Memory used [KB]: 15754
% 31.50/4.90  % (30779)Time elapsed: 1.035 s
% 31.50/4.90  % (30779)Instructions burned: 3978 (million)
% 31.50/4.94  % (30758)Running in auto input_syntax mode. Trying TPTP
% 31.50/4.94  % (30780)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2954ds/33091Mi)
% 32.93/5.10  TRYING [9,4,4]
% 33.47/5.17  TRYING [9]
% 43.22/6.58  % (30773)Instruction limit reached!
% 43.22/6.58  % (30773)------------------------------
% 43.22/6.58  % (30773)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 43.22/6.58  % (30773)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 43.22/6.58  % (30773)Termination reason: Time limit
% 43.22/6.58  % (30773)Termination phase: Finite model building SAT solving
% 43.22/6.58  
% 43.22/6.58  % (30773)Memory used [KB]: 67963
% 43.22/6.58  % (30773)Time elapsed: 5.335 s
% 43.22/6.58  % (30773)Instructions burned: 23580 (million)
% 43.22/6.63  % (30758)Running in auto input_syntax mode. Trying TPTP
% 43.22/6.63  % (30781)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2937ds/9564Mi)
% 44.95/6.86  TRYING [11]
% 53.26/7.97  TRYING [10,4,4]
% 59.53/8.88  % (30781)Instruction limit reached!
% 59.53/8.88  % (30781)------------------------------
% 59.53/8.88  % (30781)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 59.53/8.88  % (30781)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 59.53/8.88  % (30781)Termination reason: Time limit
% 59.53/8.88  % (30781)Termination phase: Saturation
% 59.53/8.88  
% 59.53/8.88  % (30781)Memory used [KB]: 19512
% 59.53/8.88  % (30781)Time elapsed: 2.255 s
% 59.53/8.88  % (30781)Instructions burned: 9565 (million)
% 59.53/8.92  % (30758)Running in auto input_syntax mode. Trying TPTP
% 59.53/8.92  % (30782)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2914ds/50409Mi)
% 59.53/8.92  Detected minimum model sizes of [3]
% 59.53/8.92  Detected maximum model sizes of [max]
% 59.53/8.92  TRYING [3]
% 59.53/8.94  TRYING [4]
% 60.12/8.98  TRYING [5]
% 60.75/9.12  TRYING [6]
% 63.09/9.49  TRYING [7]
% 68.80/10.24  TRYING [8]
% 69.82/10.37  TRYING [10]
% 77.10/11.42  % (30780)First to succeed.
% 77.10/11.43  % (30780)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30758"
% 77.58/11.44  % (30758)Running in auto input_syntax mode. Trying TPTP
% 77.58/11.44  % (30780)Refutation found. Thanks to Tanya!
% 77.58/11.44  % SZS status Theorem for theBenchmark
% 77.58/11.44  % SZS output start Proof for theBenchmark
% See solution above
% 77.58/11.44  % (30780)------------------------------
% 77.58/11.44  % (30780)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 77.58/11.44  % (30780)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 77.58/11.44  % (30780)Termination reason: Refutation
% 77.58/11.44  
% 77.58/11.44  % (30780)Memory used [KB]: 85051
% 77.58/11.44  % (30780)Time elapsed: 6.490 s
% 77.58/11.44  % (30780)Instructions burned: 24093 (million)
% 77.58/11.44  % (30780)------------------------------
% 77.58/11.44  % (30780)------------------------------
% 77.58/11.44  % (30758)Success in time 11.067 s
%------------------------------------------------------------------------------