TSTP Solution File: SWW177+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW177+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n028.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 18:31:27 EDT 2024

% Result   : Theorem 39.03s 6.07s
% Output   : Refutation 39.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  431 (  75 unt;   0 def)
%            Number of atoms       : 1115 (  65 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives : 1171 ( 487   ~; 498   |;  48   &)
%                                         (  76 <=>;  62  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   67 (  65 usr;  47 prp; 0-4 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-3 aty)
%            Number of variables   :  438 ( 438   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50762,plain,
    $false,
    inference(avatar_sat_refutation,[],[f6463,f6576,f6589,f6886,f6888,f7181,f7775,f8875,f9057,f9091,f14427,f14431,f14909,f15021,f15152,f15173,f15433,f15690,f15756,f15932,f15987,f16321,f17594,f17963,f17974,f18258,f18312,f22662,f22688,f22691,f27549,f38879,f39035,f44018,f44281,f44857,f45496,f45540,f45707,f45788,f46004,f46116,f46528,f46545,f46702,f46703,f46818,f50761]) ).

fof(f50761,plain,
    ( ~ spl177_2497
    | spl177_828 ),
    inference(avatar_split_clause,[],[f50760,f16503,f39086]) ).

fof(f39086,plain,
    ( spl177_2497
  <=> sP16(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2497])]) ).

fof(f16503,plain,
    ( spl177_828
  <=> sP17(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_828])]) ).

fof(f50760,plain,
    ( ~ sP16(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1)
    | spl177_828 ),
    inference(resolution,[],[f16505,f5003]) ).

fof(f5003,plain,
    ! [X2,X0,X1] :
      ( sP17(X0,X1,X2)
      | ~ sP16(X1,X0,X2) ),
    inference(cnf_transformation,[],[f3567]) ).

fof(f3567,plain,
    ! [X0,X1,X2] :
      ( ( sP17(X0,X1,X2)
        | ( ( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
            | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) )
          & ~ sP16(X1,X0,X2) ) )
      & ( ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
          & c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) )
        | sP16(X1,X0,X2)
        | ~ sP17(X0,X1,X2) ) ),
    inference(rectify,[],[f3566]) ).

fof(f3566,plain,
    ! [X2,X0,X1] :
      ( ( sP17(X2,X0,X1)
        | ( ( ~ c_Orderings_Oord__class_Oless(X2,X0,c_Groups_Ozero__class_Ozero(X2))
            | ~ c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2)) )
          & ~ sP16(X0,X2,X1) ) )
      & ( ( c_Orderings_Oord__class_Oless(X2,X0,c_Groups_Ozero__class_Ozero(X2))
          & c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2)) )
        | sP16(X0,X2,X1)
        | ~ sP17(X2,X0,X1) ) ),
    inference(flattening,[],[f3565]) ).

fof(f3565,plain,
    ! [X2,X0,X1] :
      ( ( sP17(X2,X0,X1)
        | ( ( ~ c_Orderings_Oord__class_Oless(X2,X0,c_Groups_Ozero__class_Ozero(X2))
            | ~ c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2)) )
          & ~ sP16(X0,X2,X1) ) )
      & ( ( c_Orderings_Oord__class_Oless(X2,X0,c_Groups_Ozero__class_Ozero(X2))
          & c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2)) )
        | sP16(X0,X2,X1)
        | ~ sP17(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f3185]) ).

fof(f3185,plain,
    ! [X2,X0,X1] :
      ( sP17(X2,X0,X1)
    <=> ( ( c_Orderings_Oord__class_Oless(X2,X0,c_Groups_Ozero__class_Ozero(X2))
          & c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2)) )
        | sP16(X0,X2,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f16505,plain,
    ( ~ sP17(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d1)
    | spl177_828 ),
    inference(avatar_component_clause,[],[f16503]) ).

fof(f46818,plain,
    ( ~ spl177_66
    | spl177_2962 ),
    inference(avatar_split_clause,[],[f46817,f45537,f7046]) ).

fof(f7046,plain,
    ( spl177_66
  <=> class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_66])]) ).

fof(f45537,plain,
    ( spl177_2962
  <=> sP78(v_d1,tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2962])]) ).

fof(f46817,plain,
    ( ~ class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
    | spl177_2962 ),
    inference(resolution,[],[f45539,f5504]) ).

fof(f5504,plain,
    ! [X2,X3,X0,X1] :
      ( sP78(X0,X3,X1,X2)
      | ~ class_Fields_Olinordered__field__inverse__zero(X3) ),
    inference(cnf_transformation,[],[f3270]) ).

fof(f3270,plain,
    ! [X0,X1,X2,X3] :
      ( sP78(X0,X3,X1,X2)
      | ~ class_Fields_Olinordered__field__inverse__zero(X3) ),
    inference(definition_folding,[],[f2814,f3269,f3268,f3267,f3266,f3265]) ).

fof(f3265,plain,
    ! [X2,X1,X0,X3] :
      ( sP74(X2,X1,X0,X3)
    <=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Otimes__class_Otimes(X3,X0,X1),X2)
        | ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3)) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f3266,plain,
    ! [X0,X3,X1,X2] :
      ( sP75(X0,X3,X1,X2)
    <=> ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
          | c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3)) )
        & sP74(X2,X1,X0,X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

fof(f3267,plain,
    ! [X1,X0,X3,X2] :
      ( sP76(X1,X0,X3,X2)
    <=> ( c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Otimes__class_Otimes(X3,X0,X1))
        | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).

fof(f3268,plain,
    ! [X2,X1,X3,X0] :
      ( sP77(X2,X1,X3,X0)
    <=> ( ( sP75(X0,X3,X1,X2)
          | c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1) )
        & sP76(X1,X0,X3,X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f3269,plain,
    ! [X0,X3,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X1),X0)
      <=> sP77(X2,X1,X3,X0) )
      | ~ sP78(X0,X3,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f2814,plain,
    ! [X0,X1,X2,X3] :
      ( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X1),X0)
      <=> ( ( ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
                | c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3)) )
              & ( c_Orderings_Oord__class_Oless(X3,c_Groups_Otimes__class_Otimes(X3,X0,X1),X2)
                | ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3)) ) )
            | c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1) )
          & ( c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Otimes__class_Otimes(X3,X0,X1))
            | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1) ) ) )
      | ~ class_Fields_Olinordered__field__inverse__zero(X3) ),
    inference(ennf_transformation,[],[f1921]) ).

fof(f1921,plain,
    ! [X0,X1,X2,X3] :
      ( class_Fields_Olinordered__field__inverse__zero(X3)
     => ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X1),X0)
      <=> ( ( ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
           => ( ( ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
               => c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0) )
              & ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
               => c_Orderings_Oord__class_Oless(X3,c_Groups_Otimes__class_Otimes(X3,X0,X1),X2) ) ) )
          & ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
           => c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Otimes__class_Otimes(X3,X0,X1)) ) ) ) ),
    inference(rectify,[],[f626]) ).

fof(f626,axiom,
    ! [X11,X42,X10,X4] :
      ( class_Fields_Olinordered__field__inverse__zero(X4)
     => ( c_Orderings_Oord__class_Oless(X4,c_Rings_Oinverse__class_Odivide(X4,X10,X42),X11)
      <=> ( ( ~ c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X42)
           => ( ( ~ c_Orderings_Oord__class_Oless(X4,X42,c_Groups_Ozero__class_Ozero(X4))
               => c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X11) )
              & ( c_Orderings_Oord__class_Oless(X4,X42,c_Groups_Ozero__class_Ozero(X4))
               => c_Orderings_Oord__class_Oless(X4,c_Groups_Otimes__class_Otimes(X4,X11,X42),X10) ) ) )
          & ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X42)
           => c_Orderings_Oord__class_Oless(X4,X10,c_Groups_Otimes__class_Otimes(X4,X11,X42)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f45539,plain,
    ( ~ sP78(v_d1,tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d2)
    | spl177_2962 ),
    inference(avatar_component_clause,[],[f45537]) ).

fof(f46703,plain,
    ( spl177_2497
    | ~ spl177_772 ),
    inference(avatar_split_clause,[],[f46673,f15838,f39086]) ).

fof(f15838,plain,
    ( spl177_772
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_772])]) ).

fof(f46673,plain,
    ( sP16(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1)
    | ~ spl177_772 ),
    inference(resolution,[],[f15839,f6515]) ).

fof(f6515,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
      | sP16(X0,tc_RealDef_Oreal,v_d1) ),
    inference(resolution,[],[f4054,f5007]) ).

fof(f5007,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
      | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
      | sP16(X0,X1,X2) ),
    inference(cnf_transformation,[],[f3570]) ).

fof(f3570,plain,
    ! [X0,X1,X2] :
      ( ( sP16(X0,X1,X2)
        | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
        | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) )
      & ( ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
          & c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) )
        | ~ sP16(X0,X1,X2) ) ),
    inference(rectify,[],[f3569]) ).

fof(f3569,plain,
    ! [X0,X2,X1] :
      ( ( sP16(X0,X2,X1)
        | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X0)
        | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1) )
      & ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X0)
          & c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1) )
        | ~ sP16(X0,X2,X1) ) ),
    inference(flattening,[],[f3568]) ).

fof(f3568,plain,
    ! [X0,X2,X1] :
      ( ( sP16(X0,X2,X1)
        | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X0)
        | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1) )
      & ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X0)
          & c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1) )
        | ~ sP16(X0,X2,X1) ) ),
    inference(nnf_transformation,[],[f3184]) ).

fof(f3184,plain,
    ! [X0,X2,X1] :
      ( sP16(X0,X2,X1)
    <=> ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X0)
        & c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f4054,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),
    inference(cnf_transformation,[],[f1198]) ).

fof(f1198,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15839,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)))
    | ~ spl177_772 ),
    inference(avatar_component_clause,[],[f15838]) ).

fof(f46702,plain,
    ( spl177_2544
    | ~ spl177_772 ),
    inference(avatar_split_clause,[],[f46672,f15838,f39655]) ).

fof(f39655,plain,
    ( spl177_2544
  <=> sP16(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2544])]) ).

fof(f46672,plain,
    ( sP16(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d2)
    | ~ spl177_772 ),
    inference(resolution,[],[f15839,f6468]) ).

fof(f6468,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
      | sP16(X0,tc_RealDef_Oreal,v_d2) ),
    inference(resolution,[],[f4053,f5007]) ).

fof(f4053,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),
    inference(cnf_transformation,[],[f1199]) ).

fof(f1199,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f46545,plain,
    ( ~ spl177_2544
    | spl177_2974 ),
    inference(avatar_split_clause,[],[f46544,f45785,f39655]) ).

fof(f45785,plain,
    ( spl177_2974
  <=> sP17(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2974])]) ).

fof(f46544,plain,
    ( ~ sP16(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d2)
    | spl177_2974 ),
    inference(resolution,[],[f45787,f5003]) ).

fof(f45787,plain,
    ( ~ sP17(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d2)
    | spl177_2974 ),
    inference(avatar_component_clause,[],[f45785]) ).

fof(f46528,plain,
    ( ~ spl177_66
    | spl177_2973 ),
    inference(avatar_split_clause,[],[f46527,f45781,f7046]) ).

fof(f45781,plain,
    ( spl177_2973
  <=> sP18(v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2973])]) ).

fof(f46527,plain,
    ( ~ class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
    | spl177_2973 ),
    inference(resolution,[],[f45783,f5008]) ).

fof(f5008,plain,
    ! [X2,X0,X1] :
      ( sP18(X1,X0,X2)
      | ~ class_Fields_Olinordered__field__inverse__zero(X2) ),
    inference(cnf_transformation,[],[f3187]) ).

fof(f3187,plain,
    ! [X0,X1,X2] :
      ( sP18(X1,X0,X2)
      | ~ class_Fields_Olinordered__field__inverse__zero(X2) ),
    inference(definition_folding,[],[f2460,f3186,f3185,f3184]) ).

fof(f3186,plain,
    ! [X1,X0,X2] :
      ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X1,X0))
      <=> sP17(X2,X0,X1) )
      | ~ sP18(X1,X0,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f2460,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X1,X0))
      <=> ( ( c_Orderings_Oord__class_Oless(X2,X0,c_Groups_Ozero__class_Ozero(X2))
            & c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2)) )
          | ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X0)
            & c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1) ) ) )
      | ~ class_Fields_Olinordered__field__inverse__zero(X2) ),
    inference(ennf_transformation,[],[f1670]) ).

fof(f1670,plain,
    ! [X0,X1,X2] :
      ( class_Fields_Olinordered__field__inverse__zero(X2)
     => ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X1,X0))
      <=> ( ( c_Orderings_Oord__class_Oless(X2,X0,c_Groups_Ozero__class_Ozero(X2))
            & c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2)) )
          | ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X0)
            & c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1) ) ) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X10,X11,X4] :
      ( class_Fields_Olinordered__field__inverse__zero(X4)
     => ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),c_Rings_Oinverse__class_Odivide(X4,X11,X10))
      <=> ( ( c_Orderings_Oord__class_Oless(X4,X10,c_Groups_Ozero__class_Ozero(X4))
            & c_Orderings_Oord__class_Oless(X4,X11,c_Groups_Ozero__class_Ozero(X4)) )
          | ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X10)
            & c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X11) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f45783,plain,
    ( ~ sP18(v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal)
    | spl177_2973 ),
    inference(avatar_component_clause,[],[f45781]) ).

fof(f46116,plain,
    ( ~ spl177_847
    | spl177_3
    | ~ spl177_36
    | ~ spl177_738 ),
    inference(avatar_split_clause,[],[f46115,f15339,f6774,f6460,f16581]) ).

fof(f16581,plain,
    ( spl177_847
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_d1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_847])]) ).

fof(f6460,plain,
    ( spl177_3
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_3])]) ).

fof(f6774,plain,
    ( spl177_36
  <=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_36])]) ).

fof(f15339,plain,
    ( spl177_738
  <=> v_d1 = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_738])]) ).

fof(f46115,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_d1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))))
    | spl177_3
    | ~ spl177_36
    | ~ spl177_738 ),
    inference(forward_demodulation,[],[f46114,f15340]) ).

fof(f15340,plain,
    ( v_d1 = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2)
    | ~ spl177_738 ),
    inference(avatar_component_clause,[],[f15339]) ).

fof(f46114,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))))
    | spl177_3
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f6462,f7390]) ).

fof(f7390,plain,
    ( ! [X0,X1] : c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7364,f7359]) ).

fof(f7359,plain,
    ( ! [X0,X1] : c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1))
    | ~ spl177_36 ),
    inference(resolution,[],[f6775,f5160]) ).

fof(f5160,plain,
    ! [X2,X0,X1] :
      ( ~ class_Int_Onumber__ring(X2)
      | c_Int_Onumber__class_Onumber__of(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0)) = c_Groups_Ominus__class_Ominus(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
    inference(cnf_transformation,[],[f2543]) ).

fof(f2543,plain,
    ! [X0,X1,X2] :
      ( c_Int_Onumber__class_Onumber__of(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0)) = c_Groups_Ominus__class_Ominus(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0))
      | ~ class_Int_Onumber__ring(X2) ),
    inference(ennf_transformation,[],[f1734]) ).

fof(f1734,plain,
    ! [X0,X1,X2] :
      ( class_Int_Onumber__ring(X2)
     => c_Int_Onumber__class_Onumber__of(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0)) = c_Groups_Ominus__class_Ominus(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
    inference(rectify,[],[f859]) ).

fof(f859,axiom,
    ! [X26,X31,X4] :
      ( class_Int_Onumber__ring(X4)
     => c_Int_Onumber__class_Onumber__of(X4,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X31,X26)) = c_Groups_Ominus__class_Ominus(X4,c_Int_Onumber__class_Onumber__of(X4,X31),c_Int_Onumber__class_Onumber__of(X4,X26)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6775,plain,
    ( class_Int_Onumber__ring(tc_RealDef_Oreal)
    | ~ spl177_36 ),
    inference(avatar_component_clause,[],[f6774]) ).

fof(f7364,plain,
    ( ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1)) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)))
    | ~ spl177_36 ),
    inference(resolution,[],[f6775,f5165]) ).

fof(f5165,plain,
    ! [X2,X0,X1] :
      ( ~ class_Int_Onumber__ring(X2)
      | c_Groups_Ominus__class_Ominus(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0)) = c_Int_Onumber__class_Onumber__of(X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))) ),
    inference(cnf_transformation,[],[f2548]) ).

fof(f2548,plain,
    ! [X0,X1,X2] :
      ( c_Groups_Ominus__class_Ominus(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0)) = c_Int_Onumber__class_Onumber__of(X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)))
      | ~ class_Int_Onumber__ring(X2) ),
    inference(ennf_transformation,[],[f1739]) ).

fof(f1739,plain,
    ! [X0,X1,X2] :
      ( class_Int_Onumber__ring(X2)
     => c_Groups_Ominus__class_Ominus(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0)) = c_Int_Onumber__class_Onumber__of(X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0))) ),
    inference(rectify,[],[f946]) ).

fof(f946,axiom,
    ! [X26,X31,X4] :
      ( class_Int_Onumber__ring(X4)
     => c_Groups_Ominus__class_Ominus(X4,c_Int_Onumber__class_Onumber__of(X4,X31),c_Int_Onumber__class_Onumber__of(X4,X26)) = c_Int_Onumber__class_Onumber__of(X4,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X31,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X26))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6462,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))))
    | spl177_3 ),
    inference(avatar_component_clause,[],[f6460]) ).

fof(f46004,plain,
    ( ~ spl177_56
    | ~ spl177_173
    | ~ spl177_780
    | spl177_786 ),
    inference(avatar_split_clause,[],[f46001,f15981,f15920,f7961,f6858]) ).

fof(f6858,plain,
    ( spl177_56
  <=> class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_56])]) ).

fof(f7961,plain,
    ( spl177_173
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_173])]) ).

fof(f15920,plain,
    ( spl177_780
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d1,v_d1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_780])]) ).

fof(f15981,plain,
    ( spl177_786
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d1,v_d1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_786])]) ).

fof(f46001,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d1,v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1)
    | ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
    | spl177_786 ),
    inference(resolution,[],[f15983,f5649]) ).

fof(f5649,plain,
    ! [X2,X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(cnf_transformation,[],[f2935]) ).

fof(f2935,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(flattening,[],[f2934]) ).

fof(f2934,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(ennf_transformation,[],[f1998]) ).

fof(f1998,plain,
    ! [X0,X1,X2,X3] :
      ( class_Groups_Oordered__comm__monoid__add(X3)
     => ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
       => ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
         => c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0)) ) ) ),
    inference(rectify,[],[f600]) ).

fof(f600,axiom,
    ! [X22,X23,X6,X4] :
      ( class_Groups_Oordered__comm__monoid__add(X4)
     => ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X6)
       => ( c_Orderings_Oord__class_Oless__eq(X4,X23,X22)
         => c_Orderings_Oord__class_Oless(X4,X23,c_Groups_Oplus__class_Oplus(X4,X6,X22)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15983,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d1,v_d1))
    | spl177_786 ),
    inference(avatar_component_clause,[],[f15981]) ).

fof(f45788,plain,
    ( ~ spl177_2973
    | ~ spl177_2974
    | spl177_3
    | ~ spl177_36
    | ~ spl177_743 ),
    inference(avatar_split_clause,[],[f45760,f15423,f6774,f6460,f45785,f45781]) ).

fof(f15423,plain,
    ( spl177_743
  <=> v_d2 = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_743])]) ).

fof(f45760,plain,
    ( ~ sP17(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d2)
    | ~ sP18(v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal)
    | spl177_3
    | ~ spl177_36
    | ~ spl177_743 ),
    inference(resolution,[],[f45709,f5000]) ).

fof(f5000,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X0,X1))
      | ~ sP17(X2,X1,X0)
      | ~ sP18(X0,X1,X2) ),
    inference(cnf_transformation,[],[f3564]) ).

fof(f3564,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X0,X1))
          | ~ sP17(X2,X1,X0) )
        & ( sP17(X2,X1,X0)
          | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X0,X1)) ) )
      | ~ sP18(X0,X1,X2) ),
    inference(rectify,[],[f3563]) ).

fof(f3563,plain,
    ! [X1,X0,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X1,X0))
          | ~ sP17(X2,X0,X1) )
        & ( sP17(X2,X0,X1)
          | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Rings_Oinverse__class_Odivide(X2,X1,X0)) ) )
      | ~ sP18(X1,X0,X2) ),
    inference(nnf_transformation,[],[f3186]) ).

fof(f45709,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))))
    | spl177_3
    | ~ spl177_36
    | ~ spl177_743 ),
    inference(forward_demodulation,[],[f45708,f15425]) ).

fof(f15425,plain,
    ( v_d2 = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2)
    | ~ spl177_743 ),
    inference(avatar_component_clause,[],[f15423]) ).

fof(f45708,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))))
    | spl177_3
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f6462,f7390]) ).

fof(f45707,plain,
    ( ~ spl177_2962
    | spl177_2961
    | ~ spl177_1
    | ~ spl177_36
    | ~ spl177_743
    | ~ spl177_746 ),
    inference(avatar_split_clause,[],[f45666,f15451,f15423,f6774,f6452,f45533,f45537]) ).

fof(f45533,plain,
    ( spl177_2961
  <=> sP77(v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2961])]) ).

fof(f6452,plain,
    ( spl177_1
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_1])]) ).

fof(f15451,plain,
    ( spl177_746
  <=> ! [X0] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d2)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_746])]) ).

fof(f45666,plain,
    ( sP77(v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1)
    | ~ sP78(v_d1,tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d2)
    | ~ spl177_1
    | ~ spl177_36
    | ~ spl177_743
    | ~ spl177_746 ),
    inference(resolution,[],[f45495,f5488]) ).

fof(f5488,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X0)
      | sP77(X3,X2,X1,X0)
      | ~ sP78(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f3782]) ).

fof(f3782,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X0)
          | ~ sP77(X3,X2,X1,X0) )
        & ( sP77(X3,X2,X1,X0)
          | ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X0) ) )
      | ~ sP78(X0,X1,X2,X3) ),
    inference(rectify,[],[f3781]) ).

fof(f3781,plain,
    ! [X0,X3,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X1),X0)
          | ~ sP77(X2,X1,X3,X0) )
        & ( sP77(X2,X1,X3,X0)
          | ~ c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X1),X0) ) )
      | ~ sP78(X0,X3,X1,X2) ),
    inference(nnf_transformation,[],[f3269]) ).

fof(f45495,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))),v_d1)
    | ~ spl177_1
    | ~ spl177_36
    | ~ spl177_743
    | ~ spl177_746 ),
    inference(forward_literal_rewriting,[],[f45494,f15452]) ).

fof(f15452,plain,
    ( ! [X0] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d2)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1) )
    | ~ spl177_746 ),
    inference(avatar_component_clause,[],[f15451]) ).

fof(f45494,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))),v_d2)
    | ~ spl177_1
    | ~ spl177_36
    | ~ spl177_743 ),
    inference(forward_demodulation,[],[f45473,f15425]) ).

fof(f45473,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))),v_d2)
    | ~ spl177_1
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f6453,f7390]) ).

fof(f6453,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ spl177_1 ),
    inference(avatar_component_clause,[],[f6452]) ).

fof(f45540,plain,
    ( ~ spl177_2961
    | ~ spl177_2962
    | spl177_2
    | ~ spl177_36
    | ~ spl177_743 ),
    inference(avatar_split_clause,[],[f45531,f15423,f6774,f6456,f45537,f45533]) ).

fof(f6456,plain,
    ( spl177_2
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2])]) ).

fof(f45531,plain,
    ( ~ sP78(v_d1,tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d2)
    | ~ sP77(v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1)
    | spl177_2
    | ~ spl177_36
    | ~ spl177_743 ),
    inference(forward_demodulation,[],[f45530,f15425]) ).

fof(f45530,plain,
    ( ~ sP77(v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1)
    | ~ sP78(v_d1,tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2))
    | spl177_2
    | ~ spl177_36
    | ~ spl177_743 ),
    inference(forward_demodulation,[],[f15966,f15425]) ).

fof(f15966,plain,
    ( ~ sP77(c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal,v_d1)
    | ~ sP78(v_d1,tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2))
    | spl177_2
    | ~ spl177_36 ),
    inference(resolution,[],[f15779,f5489]) ).

fof(f5489,plain,
    ! [X2,X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X0)
      | ~ sP77(X3,X2,X1,X0)
      | ~ sP78(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f3782]) ).

fof(f15779,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))),v_d1)
    | spl177_2
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f6458,f7390]) ).

fof(f6458,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | spl177_2 ),
    inference(avatar_component_clause,[],[f6456]) ).

fof(f45496,plain,
    ( spl177_772
    | ~ spl177_19
    | ~ spl177_36 ),
    inference(avatar_split_clause,[],[f45470,f6774,f6568,f15838]) ).

fof(f6568,plain,
    ( spl177_19
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_19])]) ).

fof(f45470,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)))
    | ~ spl177_19
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f6569,f7390]) ).

fof(f6569,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))
    | ~ spl177_19 ),
    inference(avatar_component_clause,[],[f6568]) ).

fof(f44857,plain,
    ( spl177_763
    | ~ spl177_2844 ),
    inference(avatar_split_clause,[],[f44679,f43982,f15753]) ).

fof(f15753,plain,
    ( spl177_763
  <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_763])]) ).

fof(f43982,plain,
    ( spl177_2844
  <=> ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2844])]) ).

fof(f44679,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))
    | ~ spl177_2844 ),
    inference(forward_demodulation,[],[f44570,f4260]) ).

fof(f4260,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f44570,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))
    | ~ spl177_2844 ),
    inference(resolution,[],[f43983,f4530]) ).

fof(f4530,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
    inference(cnf_transformation,[],[f3411]) ).

fof(f3411,plain,
    ! [X0] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
        | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) )
      & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ) ),
    inference(nnf_transformation,[],[f1359]) ).

fof(f1359,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
    inference(rectify,[],[f330]) ).

fof(f330,axiom,
    ! [X24] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X24)
    <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f43983,plain,
    ( ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0)
    | ~ spl177_2844 ),
    inference(avatar_component_clause,[],[f43982]) ).

fof(f44281,plain,
    ( ~ spl177_36
    | ~ spl177_37
    | spl177_2844
    | ~ spl177_2835 ),
    inference(avatar_split_clause,[],[f44127,f43935,f43982,f6778,f6774]) ).

fof(f6778,plain,
    ( spl177_37
  <=> class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_37])]) ).

fof(f43935,plain,
    ( spl177_2835
  <=> ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_2835])]) ).

fof(f44127,plain,
    ( ! [X0] :
        ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0,X0)
        | ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal)
        | ~ class_Int_Onumber__ring(tc_RealDef_Oreal) )
    | ~ spl177_2835 ),
    inference(resolution,[],[f43936,f5354]) ).

fof(f5354,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0))
      | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
      | ~ class_Rings_Olinordered__idom(X2)
      | ~ class_Int_Onumber__ring(X2) ),
    inference(cnf_transformation,[],[f3711]) ).

fof(f3711,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0))
          | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) )
        & ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0)) ) )
      | ~ class_Rings_Olinordered__idom(X2)
      | ~ class_Int_Onumber__ring(X2) ),
    inference(nnf_transformation,[],[f2752]) ).

fof(f2752,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) )
      | ~ class_Rings_Olinordered__idom(X2)
      | ~ class_Int_Onumber__ring(X2) ),
    inference(flattening,[],[f2751]) ).

fof(f2751,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) )
      | ~ class_Rings_Olinordered__idom(X2)
      | ~ class_Int_Onumber__ring(X2) ),
    inference(ennf_transformation,[],[f1868]) ).

fof(f1868,plain,
    ! [X0,X1,X2] :
      ( ( class_Rings_Olinordered__idom(X2)
        & class_Int_Onumber__ring(X2) )
     => ( c_Orderings_Oord__class_Oless__eq(X2,c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X2,X0))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ) ),
    inference(rectify,[],[f169]) ).

fof(f169,axiom,
    ! [X8,X9,X4] :
      ( ( class_Rings_Olinordered__idom(X4)
        & class_Int_Onumber__ring(X4) )
     => ( c_Orderings_Oord__class_Oless__eq(X4,c_Int_Onumber__class_Onumber__of(X4,X9),c_Int_Onumber__class_Onumber__of(X4,X8))
      <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X9,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f43936,plain,
    ( ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0)
    | ~ spl177_2835 ),
    inference(avatar_component_clause,[],[f43935]) ).

fof(f44018,plain,
    ( ~ spl177_298
    | spl177_2835
    | ~ spl177_43 ),
    inference(avatar_split_clause,[],[f43778,f6803,f43935,f9455]) ).

fof(f9455,plain,
    ( spl177_298
  <=> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_298])]) ).

fof(f6803,plain,
    ( spl177_43
  <=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_43])]) ).

fof(f43778,plain,
    ( ! [X0] :
        ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0)
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )
    | ~ spl177_43 ),
    inference(resolution,[],[f43252,f5640]) ).

fof(f5640,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
      | c_Orderings_Oord__class_Oless__eq(X3,X2,X0)
      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
    inference(cnf_transformation,[],[f2929]) ).

fof(f2929,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
    inference(flattening,[],[f2928]) ).

fof(f2928,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
    inference(ennf_transformation,[],[f1993]) ).

fof(f1993,plain,
    ! [X0,X1,X2,X3] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X3)
     => ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
       => c_Orderings_Oord__class_Oless__eq(X3,X2,X0) ) ),
    inference(rectify,[],[f433]) ).

fof(f433,axiom,
    ! [X23,X22,X6,X4] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X4)
     => ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X6,X22),c_Groups_Oplus__class_Oplus(X4,X23,X22))
       => c_Orderings_Oord__class_Oless__eq(X4,X6,X23) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f43252,plain,
    ( ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0)
    | ~ spl177_43 ),
    inference(factoring,[],[f7949]) ).

fof(f7949,plain,
    ( ! [X0,X1] :
        ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
    | ~ spl177_43 ),
    inference(resolution,[],[f6804,f5219]) ).

fof(f5219,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Olinorder(X2)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | c_Orderings_Oord__class_Oless__eq(X2,X0,X1) ),
    inference(cnf_transformation,[],[f2619]) ).

fof(f2619,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f2618]) ).

fof(f2618,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1784]) ).

fof(f1784,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
        | c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ),
    inference(rectify,[],[f156]) ).

fof(f156,axiom,
    ! [X12,X7,X4] :
      ( class_Orderings_Olinorder(X4)
     => ( c_Orderings_Oord__class_Oless__eq(X4,X12,X7)
        | c_Orderings_Oord__class_Oless__eq(X4,X7,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6804,plain,
    ( class_Orderings_Olinorder(tc_RealDef_Oreal)
    | ~ spl177_43 ),
    inference(avatar_component_clause,[],[f6803]) ).

fof(f39035,plain,
    ( ~ spl177_66
    | spl177_827 ),
    inference(avatar_split_clause,[],[f39034,f16499,f7046]) ).

fof(f16499,plain,
    ( spl177_827
  <=> sP18(v_d1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_827])]) ).

fof(f39034,plain,
    ( ~ class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
    | spl177_827 ),
    inference(resolution,[],[f16501,f5008]) ).

fof(f16501,plain,
    ( ~ sP18(v_d1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal)
    | spl177_827 ),
    inference(avatar_component_clause,[],[f16499]) ).

fof(f38879,plain,
    ( ~ spl177_827
    | ~ spl177_828
    | spl177_847 ),
    inference(avatar_split_clause,[],[f38858,f16581,f16503,f16499]) ).

fof(f38858,plain,
    ( ~ sP17(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),v_d1)
    | ~ sP18(v_d1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)),tc_RealDef_Oreal)
    | spl177_847 ),
    inference(resolution,[],[f16583,f5000]) ).

fof(f16583,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_d1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))))
    | spl177_847 ),
    inference(avatar_component_clause,[],[f16581]) ).

fof(f27549,plain,
    spl177_298,
    inference(avatar_contradiction_clause,[],[f27548]) ).

fof(f27548,plain,
    ( $false
    | spl177_298 ),
    inference(resolution,[],[f9457,f4210]) ).

fof(f4210,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1102]) ).

fof(f1102,axiom,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f9457,plain,
    ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)
    | spl177_298 ),
    inference(avatar_component_clause,[],[f9455]) ).

fof(f22691,plain,
    spl177_759,
    inference(avatar_contradiction_clause,[],[f22690]) ).

fof(f22690,plain,
    ( $false
    | spl177_759 ),
    inference(resolution,[],[f15737,f4213]) ).

fof(f4213,plain,
    class_Groups_Oordered__comm__monoid__add(tc_Int_Oint),
    inference(cnf_transformation,[],[f1009]) ).

fof(f1009,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15737,plain,
    ( ~ class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)
    | spl177_759 ),
    inference(avatar_component_clause,[],[f15735]) ).

fof(f15735,plain,
    ( spl177_759
  <=> class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_759])]) ).

fof(f22688,plain,
    spl177_1257,
    inference(avatar_contradiction_clause,[],[f22687]) ).

fof(f22687,plain,
    ( $false
    | spl177_1257 ),
    inference(resolution,[],[f22659,f4096]) ).

fof(f4096,plain,
    class_Groups_Oordered__ab__group__add(tc_Int_Oint),
    inference(cnf_transformation,[],[f1018]) ).

fof(f1018,axiom,
    class_Groups_Oordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f22659,plain,
    ( ~ class_Groups_Oordered__ab__group__add(tc_Int_Oint)
    | spl177_1257 ),
    inference(avatar_component_clause,[],[f22657]) ).

fof(f22657,plain,
    ( spl177_1257
  <=> class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_1257])]) ).

fof(f22662,plain,
    ( ~ spl177_1257
    | spl177_1014
    | ~ spl177_980 ),
    inference(avatar_split_clause,[],[f22661,f17866,f18266,f22657]) ).

fof(f18266,plain,
    ( spl177_1014
  <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OMin) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_1014])]) ).

fof(f17866,plain,
    ( spl177_980
  <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Int_OPls) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_980])]) ).

fof(f22661,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OMin)
    | ~ class_Groups_Oordered__ab__group__add(tc_Int_Oint)
    | ~ spl177_980 ),
    inference(forward_demodulation,[],[f22636,f4269]) ).

fof(f4269,plain,
    c_Int_OPls = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls),
    inference(cnf_transformation,[],[f299]) ).

fof(f299,axiom,
    c_Int_OPls = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f22636,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls),c_Int_OMin)
    | ~ class_Groups_Oordered__ab__group__add(tc_Int_Oint)
    | ~ spl177_980 ),
    inference(resolution,[],[f17868,f5131]) ).

fof(f5131,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),X1)
      | c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0)
      | ~ class_Groups_Oordered__ab__group__add(X2) ),
    inference(cnf_transformation,[],[f3642]) ).

fof(f3642,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0)
          | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),X1) )
        & ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),X1)
          | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0) ) )
      | ~ class_Groups_Oordered__ab__group__add(X2) ),
    inference(nnf_transformation,[],[f2523]) ).

fof(f2523,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0)
      <=> c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),X1) )
      | ~ class_Groups_Oordered__ab__group__add(X2) ),
    inference(ennf_transformation,[],[f1715]) ).

fof(f1715,plain,
    ! [X0,X1,X2] :
      ( class_Groups_Oordered__ab__group__add(X2)
     => ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0)
      <=> c_Orderings_Oord__class_Oless(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),X1) ) ),
    inference(rectify,[],[f350]) ).

fof(f350,axiom,
    ! [X10,X11,X4] :
      ( class_Groups_Oordered__ab__group__add(X4)
     => ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ouminus__class_Ouminus(X4,X11),X10)
      <=> c_Orderings_Oord__class_Oless(X4,c_Groups_Ouminus__class_Ouminus(X4,X10),X11) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f17868,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Int_OPls)
    | ~ spl177_980 ),
    inference(avatar_component_clause,[],[f17866]) ).

fof(f18312,plain,
    ( ~ spl177_939
    | ~ spl177_1014
    | ~ spl177_994 ),
    inference(avatar_split_clause,[],[f18298,f18091,f18266,f17293]) ).

fof(f17293,plain,
    ( spl177_939
  <=> class_Orderings_Oorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_939])]) ).

fof(f18091,plain,
    ( spl177_994
  <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OMin,c_Int_OPls) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_994])]) ).

fof(f18298,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OMin)
    | ~ class_Orderings_Oorder(tc_Int_Oint)
    | ~ spl177_994 ),
    inference(resolution,[],[f18092,f5269]) ).

fof(f5269,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ class_Orderings_Oorder(X2) ),
    inference(cnf_transformation,[],[f2671]) ).

fof(f2671,plain,
    ! [X0,X1,X2] :
      ( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ class_Orderings_Oorder(X2) ),
    inference(flattening,[],[f2670]) ).

fof(f2670,plain,
    ! [X0,X1,X2] :
      ( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ class_Orderings_Oorder(X2) ),
    inference(ennf_transformation,[],[f1813]) ).

fof(f1813,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Oorder(X2)
     => ( c_Orderings_Oord__class_Oless(X2,X1,X0)
       => ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
    inference(rectify,[],[f99]) ).

fof(f99,axiom,
    ! [X6,X23,X4] :
      ( class_Orderings_Oorder(X4)
     => ( c_Orderings_Oord__class_Oless(X4,X23,X6)
       => ~ c_Orderings_Oord__class_Oless(X4,X6,X23) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f18092,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OMin,c_Int_OPls)
    | ~ spl177_994 ),
    inference(avatar_component_clause,[],[f18091]) ).

fof(f18258,plain,
    spl177_994,
    inference(avatar_contradiction_clause,[],[f18250]) ).

fof(f18250,plain,
    ( $false
    | spl177_994 ),
    inference(resolution,[],[f18093,f4261]) ).

fof(f4261,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OMin,c_Int_OPls),
    inference(cnf_transformation,[],[f387]) ).

fof(f387,axiom,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OMin,c_Int_OPls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f18093,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OMin,c_Int_OPls)
    | spl177_994 ),
    inference(avatar_component_clause,[],[f18091]) ).

fof(f17974,plain,
    ( ~ spl177_983
    | spl177_980
    | spl177_762 ),
    inference(avatar_split_clause,[],[f17924,f15749,f17866,f17939]) ).

fof(f17939,plain,
    ( spl177_983
  <=> class_Orderings_Olinorder(tc_Int_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_983])]) ).

fof(f15749,plain,
    ( spl177_762
  <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_762])]) ).

fof(f17924,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Int_OPls)
    | ~ class_Orderings_Olinorder(tc_Int_Oint)
    | spl177_762 ),
    inference(resolution,[],[f15751,f5218]) ).

fof(f5218,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(cnf_transformation,[],[f2617]) ).

fof(f2617,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f2616]) ).

fof(f2616,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1783]) ).

fof(f1783,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( c_Orderings_Oord__class_Oless(X2,X0,X1)
        | c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ),
    inference(rectify,[],[f199]) ).

fof(f199,axiom,
    ! [X12,X7,X4] :
      ( class_Orderings_Olinorder(X4)
     => ( c_Orderings_Oord__class_Oless(X4,X12,X7)
        | c_Orderings_Oord__class_Oless__eq(X4,X7,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15751,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))
    | spl177_762 ),
    inference(avatar_component_clause,[],[f15749]) ).

fof(f17963,plain,
    spl177_983,
    inference(avatar_contradiction_clause,[],[f17962]) ).

fof(f17962,plain,
    ( $false
    | spl177_983 ),
    inference(resolution,[],[f17941,f4229]) ).

fof(f4229,plain,
    class_Orderings_Olinorder(tc_Int_Oint),
    inference(cnf_transformation,[],[f1037]) ).

fof(f1037,axiom,
    class_Orderings_Olinorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f17941,plain,
    ( ~ class_Orderings_Olinorder(tc_Int_Oint)
    | spl177_983 ),
    inference(avatar_component_clause,[],[f17939]) ).

fof(f17594,plain,
    spl177_939,
    inference(avatar_contradiction_clause,[],[f17593]) ).

fof(f17593,plain,
    ( $false
    | spl177_939 ),
    inference(resolution,[],[f17295,f4249]) ).

fof(f4249,plain,
    class_Orderings_Oorder(tc_Int_Oint),
    inference(cnf_transformation,[],[f1045]) ).

fof(f1045,axiom,
    class_Orderings_Oorder(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f17295,plain,
    ( ~ class_Orderings_Oorder(tc_Int_Oint)
    | spl177_939 ),
    inference(avatar_component_clause,[],[f17293]) ).

fof(f16321,plain,
    ( spl177_780
    | spl177_780 ),
    inference(avatar_split_clause,[],[f16306,f15920,f15920]) ).

fof(f16306,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d1,v_d1)
    | spl177_780 ),
    inference(resolution,[],[f15922,f4611]) ).

fof(f4611,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f1419]) ).

fof(f1419,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(rectify,[],[f338]) ).

fof(f338,axiom,
    ! [X26,X25] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X26,X25)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X25,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15922,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d1,v_d1)
    | spl177_780 ),
    inference(avatar_component_clause,[],[f15920]) ).

fof(f15987,plain,
    ( ~ spl177_18
    | ~ spl177_772
    | ~ spl177_786
    | spl177_2
    | ~ spl177_36
    | ~ spl177_738 ),
    inference(avatar_split_clause,[],[f15986,f15339,f6774,f6456,f15981,f15838,f6564]) ).

fof(f6564,plain,
    ( spl177_18
  <=> class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_18])]) ).

fof(f15986,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d1,v_d1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)))
    | ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
    | spl177_2
    | ~ spl177_36
    | ~ spl177_738 ),
    inference(forward_demodulation,[],[f15985,f15340]) ).

fof(f15985,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d1,v_d1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)))
    | ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
    | spl177_2
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f15965,f7420]) ).

fof(f7420,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7419,f7390]) ).

fof(f7419,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7418,f6002]) ).

fof(f6002,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),
    inference(definition_unfolding,[],[f4277,f4383]) ).

fof(f4383,plain,
    ! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
    inference(cnf_transformation,[],[f1261]) ).

fof(f1261,plain,
    ! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
    inference(rectify,[],[f771]) ).

fof(f771,axiom,
    ! [X20] : c_Int_OBit1(X20) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X20),X20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4277,plain,
    c_Int_OBit1(c_Int_OPls) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),
    inference(cnf_transformation,[],[f398]) ).

fof(f398,axiom,
    c_Int_OBit1(c_Int_OPls) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7418,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7417,f4343]) ).

fof(f4343,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
    inference(cnf_transformation,[],[f1221]) ).

fof(f1221,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
    inference(rectify,[],[f708]) ).

fof(f708,axiom,
    ! [X20] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X20) = X20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7417,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7416,f4970]) ).

fof(f4970,plain,
    ! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
    inference(cnf_transformation,[],[f1642]) ).

fof(f1642,plain,
    ! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
    inference(rectify,[],[f697]) ).

fof(f697,axiom,
    ! [X25,X12,X7] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X12,X25)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X12,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7416,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7415,f4343]) ).

fof(f7415,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7414,f4970]) ).

fof(f7414,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7413,f4971]) ).

fof(f4971,plain,
    ! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
    inference(cnf_transformation,[],[f1643]) ).

fof(f1643,plain,
    ! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
    inference(rectify,[],[f699]) ).

fof(f699,axiom,
    ! [X48,X49,X50] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X50,X49),X48) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X50,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X49,X48)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7413,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f7376,f4971]) ).

fof(f7376,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
    | ~ spl177_36 ),
    inference(resolution,[],[f6775,f6188]) ).

fof(f6188,plain,
    ! [X0,X1] :
      ( ~ class_Int_Onumber__ring(X1)
      | c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) ),
    inference(definition_unfolding,[],[f4689,f4349,f4383]) ).

fof(f4349,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(cnf_transformation,[],[f1227]) ).

fof(f1227,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(rectify,[],[f710]) ).

fof(f710,axiom,
    ! [X20] : c_Int_OBit0(X20) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X20,X20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4689,plain,
    ! [X0,X1] :
      ( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
      | ~ class_Int_Onumber__ring(X1) ),
    inference(cnf_transformation,[],[f2285]) ).

fof(f2285,plain,
    ! [X0,X1] :
      ( c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
      | ~ class_Int_Onumber__ring(X1) ),
    inference(ennf_transformation,[],[f1474]) ).

fof(f1474,plain,
    ! [X0,X1] :
      ( class_Int_Onumber__ring(X1)
     => c_Groups_Oplus__class_Oplus(X1,X0,X0) = c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
    inference(rectify,[],[f518]) ).

fof(f518,axiom,
    ! [X25,X4] :
      ( class_Int_Onumber__ring(X4)
     => c_Groups_Otimes__class_Otimes(X4,X25,c_Int_Onumber__class_Onumber__of(X4,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X4,X25,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15965,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_d1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin)))
    | ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
    | spl177_2
    | ~ spl177_36 ),
    inference(resolution,[],[f15779,f5552]) ).

fof(f5552,plain,
    ! [X2,X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      | ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Otimes__class_Otimes(X3,X0,X2))
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Fields_Olinordered__field(X3) ),
    inference(cnf_transformation,[],[f2836]) ).

fof(f2836,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      | ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Otimes__class_Otimes(X3,X0,X2))
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Fields_Olinordered__field(X3) ),
    inference(flattening,[],[f2835]) ).

fof(f2835,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
      | ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Otimes__class_Otimes(X3,X0,X2))
      | ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Fields_Olinordered__field(X3) ),
    inference(ennf_transformation,[],[f1933]) ).

fof(f1933,plain,
    ! [X0,X1,X2,X3] :
      ( class_Fields_Olinordered__field(X3)
     => ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
       => ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Otimes__class_Otimes(X3,X0,X2))
         => c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ) ) ),
    inference(rectify,[],[f629]) ).

fof(f629,axiom,
    ! [X25,X7,X12,X4] :
      ( class_Fields_Olinordered__field(X4)
     => ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X12)
       => ( c_Orderings_Oord__class_Oless(X4,X7,c_Groups_Otimes__class_Otimes(X4,X25,X12))
         => c_Orderings_Oord__class_Oless(X4,c_Rings_Oinverse__class_Odivide(X4,X7,X12),X25) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15932,plain,
    ( ~ spl177_43
    | spl177_738
    | ~ spl177_734 ),
    inference(avatar_split_clause,[],[f15902,f15298,f15339,f6803]) ).

fof(f15298,plain,
    ( spl177_734
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d1,v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_734])]) ).

fof(f15902,plain,
    ( v_d1 = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2)
    | ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
    | ~ spl177_734 ),
    inference(resolution,[],[f15299,f5250]) ).

fof(f5250,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1
      | ~ class_Orderings_Olinorder(X2) ),
    inference(cnf_transformation,[],[f3676]) ).

fof(f3676,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          | c_Orderings_Oord__class_Omin(X2,X1,X0) != X1 )
        & ( c_Orderings_Oord__class_Omin(X2,X1,X0) = X1
          | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(nnf_transformation,[],[f2646]) ).

fof(f2646,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      <=> c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1800]) ).

fof(f1800,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      <=> c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ) ),
    inference(rectify,[],[f212]) ).

fof(f212,axiom,
    ! [X8,X9,X4] :
      ( class_Orderings_Olinorder(X4)
     => ( c_Orderings_Oord__class_Oless__eq(X4,X9,X8)
      <=> c_Orderings_Oord__class_Omin(X4,X9,X8) = X9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15299,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d1,v_d2)
    | ~ spl177_734 ),
    inference(avatar_component_clause,[],[f15298]) ).

fof(f15756,plain,
    ( ~ spl177_759
    | ~ spl177_762
    | ~ spl177_763
    | spl177_276 ),
    inference(avatar_split_clause,[],[f15747,f9054,f15753,f15749,f15735]) ).

fof(f9054,plain,
    ( spl177_276
  <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_276])]) ).

fof(f15747,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))
    | ~ class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)
    | spl177_276 ),
    inference(forward_demodulation,[],[f15721,f4260]) ).

fof(f15721,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))
    | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))
    | ~ class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)
    | spl177_276 ),
    inference(resolution,[],[f9056,f5649]) ).

fof(f9056,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))
    | spl177_276 ),
    inference(avatar_component_clause,[],[f9054]) ).

fof(f15690,plain,
    ( ~ spl177_6
    | spl177_746
    | spl177_734 ),
    inference(avatar_split_clause,[],[f15668,f15298,f15451,f6491]) ).

fof(f6491,plain,
    ( spl177_6
  <=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_6])]) ).

fof(f15668,plain,
    ( ! [X0] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d2)
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_d1)
        | ~ class_Orderings_Oorder(tc_RealDef_Oreal) )
    | spl177_734 ),
    inference(resolution,[],[f15496,f5728]) ).

fof(f5728,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
      | ~ c_Orderings_Oord__class_Oless(X3,X0,X2)
      | c_Orderings_Oord__class_Oless(X3,X0,X1)
      | ~ class_Orderings_Oorder(X3) ),
    inference(cnf_transformation,[],[f3018]) ).

fof(f3018,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X3,X0,X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
      | ~ class_Orderings_Oorder(X3) ),
    inference(flattening,[],[f3017]) ).

fof(f3017,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X3,X0,X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
      | ~ class_Orderings_Oorder(X3) ),
    inference(ennf_transformation,[],[f2050]) ).

fof(f2050,plain,
    ! [X0,X1,X2,X3] :
      ( class_Orderings_Oorder(X3)
     => ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
       => ( c_Orderings_Oord__class_Oless(X3,X0,X2)
         => c_Orderings_Oord__class_Oless(X3,X0,X1) ) ) ),
    inference(rectify,[],[f181]) ).

fof(f181,axiom,
    ! [X25,X7,X12,X4] :
      ( class_Orderings_Oorder(X4)
     => ( c_Orderings_Oord__class_Oless__eq(X4,X12,X7)
       => ( c_Orderings_Oord__class_Oless(X4,X25,X12)
         => c_Orderings_Oord__class_Oless(X4,X25,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15496,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d2,v_d1)
    | spl177_734 ),
    inference(resolution,[],[f15300,f4611]) ).

fof(f15300,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d1,v_d2)
    | spl177_734 ),
    inference(avatar_component_clause,[],[f15298]) ).

fof(f15433,plain,
    ( ~ spl177_43
    | spl177_743
    | ~ spl177_43
    | spl177_734 ),
    inference(avatar_split_clause,[],[f15432,f15298,f6803,f15423,f6803]) ).

fof(f15432,plain,
    ( v_d2 = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2)
    | ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
    | ~ spl177_43
    | spl177_734 ),
    inference(forward_demodulation,[],[f15399,f7944]) ).

fof(f7944,plain,
    ( ! [X0,X1] : c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,X0,X1) = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,X1,X0)
    | ~ spl177_43 ),
    inference(resolution,[],[f6804,f5213]) ).

fof(f5213,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Olinorder(X2)
      | c_Orderings_Oord__class_Omin(X2,X1,X0) = c_Orderings_Oord__class_Omin(X2,X0,X1) ),
    inference(cnf_transformation,[],[f2610]) ).

fof(f2610,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Omin(X2,X1,X0) = c_Orderings_Oord__class_Omin(X2,X0,X1)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1778]) ).

fof(f1778,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => c_Orderings_Oord__class_Omin(X2,X1,X0) = c_Orderings_Oord__class_Omin(X2,X0,X1) ),
    inference(rectify,[],[f109]) ).

fof(f109,axiom,
    ! [X23,X6,X4] :
      ( class_Orderings_Olinorder(X4)
     => c_Orderings_Oord__class_Omin(X4,X6,X23) = c_Orderings_Oord__class_Omin(X4,X23,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15399,plain,
    ( v_d2 = c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d2,v_d1)
    | ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
    | spl177_734 ),
    inference(resolution,[],[f15319,f5250]) ).

fof(f15319,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d2,v_d1)
    | spl177_734 ),
    inference(resolution,[],[f15300,f4611]) ).

fof(f15173,plain,
    ( spl177_722
    | spl177_722 ),
    inference(avatar_split_clause,[],[f15158,f15149,f15149]) ).

fof(f15149,plain,
    ( spl177_722
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d2,v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_722])]) ).

fof(f15158,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d2,v_d2)
    | spl177_722 ),
    inference(resolution,[],[f15151,f4611]) ).

fof(f15151,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d2,v_d2)
    | spl177_722 ),
    inference(avatar_component_clause,[],[f15149]) ).

fof(f15152,plain,
    ( ~ spl177_56
    | ~ spl177_23
    | ~ spl177_722
    | spl177_712 ),
    inference(avatar_split_clause,[],[f15145,f15018,f15149,f6609,f6858]) ).

fof(f6609,plain,
    ( spl177_23
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_23])]) ).

fof(f15018,plain,
    ( spl177_712
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d2,v_d2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_712])]) ).

fof(f15145,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_d2,v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2)
    | ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
    | spl177_712 ),
    inference(resolution,[],[f15020,f5649]) ).

fof(f15020,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d2,v_d2))
    | spl177_712 ),
    inference(avatar_component_clause,[],[f15018]) ).

fof(f15021,plain,
    ( ~ spl177_43
    | ~ spl177_712
    | spl177_20
    | ~ spl177_36 ),
    inference(avatar_split_clause,[],[f15003,f6774,f6572,f15018,f6803]) ).

fof(f6572,plain,
    ( spl177_20
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_20])]) ).

fof(f15003,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_d2,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d2,v_d2))
    | ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
    | spl177_20
    | ~ spl177_36 ),
    inference(resolution,[],[f14998,f5675]) ).

fof(f5675,plain,
    ! [X2,X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X3,c_Orderings_Oord__class_Omin(X3,X0,X2),X1)
      | ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
      | ~ class_Orderings_Olinorder(X3) ),
    inference(cnf_transformation,[],[f2972]) ).

fof(f2972,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,c_Orderings_Oord__class_Omin(X3,X0,X2),X1)
      | ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
      | ~ class_Orderings_Olinorder(X3) ),
    inference(flattening,[],[f2971]) ).

fof(f2971,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless(X3,c_Orderings_Oord__class_Omin(X3,X0,X2),X1)
      | ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
      | ~ class_Orderings_Olinorder(X3) ),
    inference(ennf_transformation,[],[f2024]) ).

fof(f2024,plain,
    ! [X0,X1,X2,X3] :
      ( class_Orderings_Olinorder(X3)
     => ( c_Orderings_Oord__class_Oless(X3,X2,X1)
       => c_Orderings_Oord__class_Oless(X3,c_Orderings_Oord__class_Omin(X3,X0,X2),X1) ) ),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X6,X7,X23,X4] :
      ( class_Orderings_Olinorder(X4)
     => ( c_Orderings_Oord__class_Oless(X4,X23,X7)
       => c_Orderings_Oord__class_Oless(X4,c_Orderings_Oord__class_Omin(X4,X6,X23),X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f14998,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_d2,v_d2))
    | spl177_20
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f14997,f7420]) ).

fof(f14997,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin))))
    | spl177_20
    | ~ spl177_36 ),
    inference(forward_demodulation,[],[f6574,f7390]) ).

fof(f6574,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))))
    | spl177_20 ),
    inference(avatar_component_clause,[],[f6572]) ).

fof(f14909,plain,
    spl177_594,
    inference(avatar_split_clause,[],[f14908,f13554]) ).

fof(f13554,plain,
    ( spl177_594
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi) ),
    introduced(avatar_definition,[new_symbols(naming,[spl177_594])]) ).

fof(f14908,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi),
    inference(resolution,[],[f14725,f5006]) ).

fof(f5006,plain,
    ! [X2,X0,X1] :
      ( ~ sP16(X0,X1,X2)
      | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0) ),
    inference(cnf_transformation,[],[f3570]) ).

fof(f14725,plain,
    sP16(c_Transcendental_Opi,tc_RealDef_Oreal,v_d1),
    inference(resolution,[],[f9787,f6515]) ).

fof(f9787,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi),
    inference(resolution,[],[f9735,f5006]) ).

fof(f9735,plain,
    sP16(c_Transcendental_Opi,tc_RealDef_Oreal,v_d1),
    inference(resolution,[],[f9486,f6515]) ).

fof(f9486,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi),
    inference(resolution,[],[f6891,f5006]) ).

fof(f6891,plain,
    sP16(c_Transcendental_Opi,tc_RealDef_Oreal,v_d2),
    inference(resolution,[],[f6468,f4273]) ).

fof(f4273,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f14431,plain,
    ( spl177_23
    | ~ spl177_594 ),
    inference(avatar_split_clause,[],[f14429,f13554,f6609]) ).

fof(f14429,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2)
    | ~ spl177_594 ),
    inference(resolution,[],[f14399,f5005]) ).

fof(f5005,plain,
    ! [X2,X0,X1] :
      ( ~ sP16(X0,X1,X2)
      | c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(cnf_transformation,[],[f3570]) ).

fof(f14399,plain,
    ( sP16(c_Transcendental_Opi,tc_RealDef_Oreal,v_d2)
    | ~ spl177_594 ),
    inference(resolution,[],[f13555,f6468]) ).

fof(f13555,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi)
    | ~ spl177_594 ),
    inference(avatar_component_clause,[],[f13554]) ).

fof(f14427,plain,
    ( spl177_173
    | ~ spl177_594 ),
    inference(avatar_split_clause,[],[f14425,f13554,f7961]) ).

fof(f14425,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1)
    | ~ spl177_594 ),
    inference(resolution,[],[f14398,f5005]) ).

fof(f14398,plain,
    ( sP16(c_Transcendental_Opi,tc_RealDef_Oreal,v_d1)
    | ~ spl177_594 ),
    inference(resolution,[],[f13555,f6515]) ).

fof(f9091,plain,
    spl177_66,
    inference(avatar_contradiction_clause,[],[f9090]) ).

fof(f9090,plain,
    ( $false
    | spl177_66 ),
    inference(resolution,[],[f7048,f4063]) ).

fof(f4063,plain,
    class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1104]) ).

fof(f1104,axiom,
    class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7048,plain,
    ( ~ class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
    | spl177_66 ),
    inference(avatar_component_clause,[],[f7046]) ).

fof(f9057,plain,
    ( ~ spl177_36
    | ~ spl177_37
    | ~ spl177_276
    | spl177_19 ),
    inference(avatar_split_clause,[],[f9040,f6568,f9054,f6778,f6774]) ).

fof(f9040,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))
    | ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal)
    | ~ class_Int_Onumber__ring(tc_RealDef_Oreal)
    | spl177_19 ),
    inference(resolution,[],[f6570,f4813]) ).

fof(f4813,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0))
      | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
      | ~ class_Rings_Olinordered__idom(X1)
      | ~ class_Int_Onumber__ring(X1) ),
    inference(cnf_transformation,[],[f3466]) ).

fof(f3466,plain,
    ! [X0,X1] :
      ( ( ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0))
          | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) )
        & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0)
          | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) ) )
      | ~ class_Rings_Olinordered__idom(X1)
      | ~ class_Int_Onumber__ring(X1) ),
    inference(nnf_transformation,[],[f2427]) ).

fof(f2427,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) )
      | ~ class_Rings_Olinordered__idom(X1)
      | ~ class_Int_Onumber__ring(X1) ),
    inference(flattening,[],[f2426]) ).

fof(f2426,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) )
      | ~ class_Rings_Olinordered__idom(X1)
      | ~ class_Int_Onumber__ring(X1) ),
    inference(ennf_transformation,[],[f1579]) ).

fof(f1579,plain,
    ! [X0,X1] :
      ( ( class_Rings_Olinordered__idom(X1)
        & class_Int_Onumber__ring(X1) )
     => ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X1,X0))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X8,X4] :
      ( ( class_Rings_Olinordered__idom(X4)
        & class_Int_Onumber__ring(X4) )
     => ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X4,X8))
      <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6570,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))
    | spl177_19 ),
    inference(avatar_component_clause,[],[f6568]) ).

fof(f8875,plain,
    spl177_56,
    inference(avatar_contradiction_clause,[],[f8874]) ).

fof(f8874,plain,
    ( $false
    | spl177_56 ),
    inference(resolution,[],[f6860,f4214]) ).

fof(f4214,plain,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1110]) ).

fof(f1110,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6860,plain,
    ( ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
    | spl177_56 ),
    inference(avatar_component_clause,[],[f6858]) ).

fof(f7775,plain,
    spl177_43,
    inference(avatar_contradiction_clause,[],[f7774]) ).

fof(f7774,plain,
    ( $false
    | spl177_43 ),
    inference(resolution,[],[f6805,f4230]) ).

fof(f4230,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1142]) ).

fof(f1142,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6805,plain,
    ( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
    | spl177_43 ),
    inference(avatar_component_clause,[],[f6803]) ).

fof(f7181,plain,
    spl177_36,
    inference(avatar_contradiction_clause,[],[f7180]) ).

fof(f7180,plain,
    ( $false
    | spl177_36 ),
    inference(resolution,[],[f6776,f4101]) ).

fof(f4101,plain,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1151]) ).

fof(f1151,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6776,plain,
    ( ~ class_Int_Onumber__ring(tc_RealDef_Oreal)
    | spl177_36 ),
    inference(avatar_component_clause,[],[f6774]) ).

fof(f6888,plain,
    spl177_37,
    inference(avatar_contradiction_clause,[],[f6887]) ).

fof(f6887,plain,
    ( $false
    | spl177_37 ),
    inference(resolution,[],[f6780,f4095]) ).

fof(f4095,plain,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1133]) ).

fof(f1133,axiom,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6780,plain,
    ( ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal)
    | spl177_37 ),
    inference(avatar_component_clause,[],[f6778]) ).

fof(f6886,plain,
    spl177_18,
    inference(avatar_contradiction_clause,[],[f6885]) ).

fof(f6885,plain,
    ( $false
    | spl177_18 ),
    inference(resolution,[],[f6566,f4064]) ).

fof(f4064,plain,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1128]) ).

fof(f1128,axiom,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6566,plain,
    ( ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
    | spl177_18 ),
    inference(avatar_component_clause,[],[f6564]) ).

fof(f6589,plain,
    spl177_6,
    inference(avatar_contradiction_clause,[],[f6588]) ).

fof(f6588,plain,
    ( $false
    | spl177_6 ),
    inference(resolution,[],[f6493,f4250]) ).

fof(f4250,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1149]) ).

fof(f1149,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6493,plain,
    ( ~ class_Orderings_Oorder(tc_RealDef_Oreal)
    | spl177_6 ),
    inference(avatar_component_clause,[],[f6491]) ).

fof(f6576,plain,
    ( ~ spl177_18
    | ~ spl177_19
    | ~ spl177_20
    | spl177_1 ),
    inference(avatar_split_clause,[],[f6552,f6452,f6572,f6568,f6564]) ).

fof(f6552,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_d2,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))
    | ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
    | spl177_1 ),
    inference(resolution,[],[f6454,f5552]) ).

fof(f6454,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | spl177_1 ),
    inference(avatar_component_clause,[],[f6452]) ).

fof(f6463,plain,
    ( ~ spl177_1
    | ~ spl177_2
    | ~ spl177_3 ),
    inference(avatar_split_clause,[],[f6450,f6460,f6456,f6452]) ).

fof(f6450,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    inference(forward_demodulation,[],[f6449,f6002]) ).

fof(f6449,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    inference(forward_demodulation,[],[f6448,f4343]) ).

fof(f6448,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    inference(forward_demodulation,[],[f6447,f4970]) ).

fof(f6447,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    inference(forward_demodulation,[],[f6446,f4343]) ).

fof(f6446,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    inference(forward_demodulation,[],[f6445,f4970]) ).

fof(f6445,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    inference(forward_demodulation,[],[f6444,f4971]) ).

fof(f6444,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2) ),
    inference(forward_demodulation,[],[f6443,f4971]) ).

fof(f6443,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6442,f6002]) ).

fof(f6442,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6441,f4343]) ).

fof(f6441,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6440,f4970]) ).

fof(f6440,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6439,f4343]) ).

fof(f6439,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6438,f4970]) ).

fof(f6438,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6437,f4971]) ).

fof(f6437,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6436,f4971]) ).

fof(f6436,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6435,f6002]) ).

fof(f6435,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6434,f4343]) ).

fof(f6434,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6433,f4970]) ).

fof(f6433,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6432,f4343]) ).

fof(f6432,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6431,f4970]) ).

fof(f6431,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f6430,f4971]) ).

fof(f6430,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(forward_demodulation,[],[f5997,f4971]) ).

fof(f5997,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(definition_unfolding,[],[f4052,f4349,f4383,f4349,f4383,f4349,f4383]) ).

fof(f4052,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(cnf_transformation,[],[f2132]) ).

fof(f2132,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(ennf_transformation,[],[f1201]) ).

fof(f1201,negated_conjecture,
    ~ ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d2)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d1)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(negated_conjecture,[],[f1200]) ).

fof(f1200,conjecture,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d2)
    & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),v_d1)
    & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Orderings_Oord__class_Omin(tc_RealDef_Oreal,v_d1,v_d2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW177+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n028.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 05:00:24 EDT 2024
% 0.18/0.33  % CPUTime    : 
% 0.18/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.18/0.35  Running first-order theorem proving
% 0.18/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (12930)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.20/0.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (12927)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.20/0.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (12929)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.20/0.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (12931)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.20/0.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (12932)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.20/0.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (12933)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.20/0.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (12928)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 1.30/0.57  % (12931)Instruction limit reached!
% 1.30/0.57  % (12931)------------------------------
% 1.30/0.57  % (12931)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.30/0.57  % (12931)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.30/0.57  % (12931)Termination reason: Time limit
% 1.30/0.57  % (12931)Termination phase: Saturation
% 1.30/0.57  
% 1.30/0.57  % (12931)Memory used [KB]: 3267
% 1.30/0.57  % (12931)Time elapsed: 0.109 s
% 1.30/0.57  % (12931)Instructions burned: 252 (million)
% 1.30/0.59  % (12933)Instruction limit reached!
% 1.30/0.59  % (12933)------------------------------
% 1.30/0.59  % (12933)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.30/0.59  % (12933)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.30/0.59  % (12933)Termination reason: Time limit
% 1.30/0.59  % (12933)Termination phase: Saturation
% 1.30/0.59  
% 1.30/0.59  % (12933)Memory used [KB]: 4938
% 1.30/0.59  % (12933)Time elapsed: 0.121 s
% 1.30/0.59  % (12933)Instructions burned: 283 (million)
% 1.44/0.61  % (12932)Instruction limit reached!
% 1.44/0.61  % (12932)------------------------------
% 1.44/0.61  % (12932)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.44/0.61  % (12932)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.44/0.61  % (12932)Termination reason: Time limit
% 1.44/0.61  % (12932)Termination phase: Saturation
% 1.44/0.61  
% 1.44/0.61  % (12932)Memory used [KB]: 4231
% 1.44/0.61  % (12932)Time elapsed: 0.140 s
% 1.44/0.61  % (12932)Instructions burned: 347 (million)
% 1.44/0.61  % (12926)Running in auto input_syntax mode. Trying TPTP
% 1.44/0.61  % (12934)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 1.44/0.62  % (12926)Running in auto input_syntax mode. Trying TPTP
% 1.44/0.62  % (12935)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.63/0.64  % (12926)Running in auto input_syntax mode. Trying TPTP
% 1.63/0.64  % (12936)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2998ds/325Mi)
% 1.63/0.65  % (12934)Instruction limit reached!
% 1.63/0.65  % (12934)------------------------------
% 1.63/0.65  % (12934)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.63/0.65  % (12934)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.63/0.65  % (12934)Termination reason: Time limit
% 1.63/0.65  % (12934)Termination phase: Saturation
% 1.63/0.65  
% 1.63/0.65  % (12934)Memory used [KB]: 3143
% 1.63/0.65  % (12934)Time elapsed: 0.044 s
% 1.63/0.65  % (12934)Instructions burned: 125 (million)
% 1.63/0.69  % (12926)Running in auto input_syntax mode. Trying TPTP
% 1.63/0.69  % (12937)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 1.99/0.74  % (12936)Instruction limit reached!
% 1.99/0.74  % (12936)------------------------------
% 1.99/0.74  % (12936)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.99/0.74  % (12936)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.99/0.74  % (12936)Termination reason: Time limit
% 1.99/0.74  % (12936)Termination phase: Saturation
% 1.99/0.74  
% 1.99/0.74  % (12936)Memory used [KB]: 6459
% 1.99/0.74  % (12936)Time elapsed: 0.101 s
% 1.99/0.74  % (12936)Instructions burned: 327 (million)
% 1.99/0.74  % (12935)Instruction limit reached!
% 1.99/0.74  % (12935)------------------------------
% 1.99/0.74  % (12935)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.99/0.74  % (12935)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.99/0.74  % (12935)Termination reason: Time limit
% 1.99/0.74  % (12935)Termination phase: Saturation
% 1.99/0.74  
% 1.99/0.74  % (12935)Memory used [KB]: 6614
% 1.99/0.74  % (12935)Time elapsed: 0.125 s
% 1.99/0.74  % (12935)Instructions burned: 403 (million)
% 1.99/0.76  % (12937)Instruction limit reached!
% 1.99/0.76  % (12937)------------------------------
% 1.99/0.76  % (12937)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.99/0.76  % (12937)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.99/0.76  % (12937)Termination reason: Time limit
% 1.99/0.76  % (12937)Termination phase: Saturation
% 1.99/0.76  
% 1.99/0.76  % (12937)Memory used [KB]: 3494
% 1.99/0.76  % (12937)Time elapsed: 0.077 s
% 1.99/0.76  % (12937)Instructions burned: 268 (million)
% 2.66/0.77  % (12926)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.77  % (12938)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2996ds/156Mi)
% 2.66/0.78  % (12926)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.78  % (12939)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2996ds/200Mi)
% 2.66/0.80  % (12926)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.80  % (12940)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2996ds/203Mi)
% 2.66/0.82  % (12938)Instruction limit reached!
% 2.66/0.82  % (12938)------------------------------
% 2.66/0.82  % (12938)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.82  % (12938)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.82  % (12938)Termination reason: Time limit
% 2.66/0.82  % (12938)Termination phase: Saturation
% 2.66/0.82  
% 2.66/0.82  % (12938)Memory used [KB]: 3791
% 2.66/0.82  % (12938)Time elapsed: 0.045 s
% 2.66/0.82  % (12938)Instructions burned: 157 (million)
% 2.66/0.84  % (12939)Instruction limit reached!
% 2.66/0.84  % (12939)------------------------------
% 2.66/0.84  % (12939)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.84  % (12939)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.84  % (12939)Termination reason: Time limit
% 2.66/0.84  % (12939)Termination phase: Saturation
% 2.66/0.84  
% 2.66/0.84  % (12939)Memory used [KB]: 3475
% 2.66/0.84  % (12939)Time elapsed: 0.062 s
% 2.66/0.84  % (12939)Instructions burned: 202 (million)
% 2.66/0.85  % (12926)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.85  % (12941)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2995ds/1027Mi)
% 3.21/0.87  % (12940)Instruction limit reached!
% 3.21/0.87  % (12940)------------------------------
% 3.21/0.87  % (12940)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.21/0.87  % (12940)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.21/0.87  % (12940)Termination reason: Time limit
% 3.21/0.87  % (12940)Termination phase: Saturation
% 3.21/0.87  
% 3.21/0.87  % (12940)Memory used [KB]: 3733
% 3.21/0.87  % (12940)Time elapsed: 0.071 s
% 3.21/0.87  % (12940)Instructions burned: 205 (million)
% 3.21/0.87  % (12926)Running in auto input_syntax mode. Trying TPTP
% 3.21/0.87  % (12942)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2995ds/316Mi)
% 3.44/0.90  % (12926)Running in auto input_syntax mode. Trying TPTP
% 3.44/0.90  % (12943)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2995ds/426Mi)
% 3.60/0.97  % (12942)Instruction limit reached!
% 3.60/0.97  % (12942)------------------------------
% 3.60/0.97  % (12942)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.60/0.97  % (12942)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.60/0.97  % (12942)Termination reason: Time limit
% 3.60/0.97  % (12942)Termination phase: Saturation
% 3.60/0.97  
% 3.60/0.97  % (12942)Memory used [KB]: 3776
% 3.60/0.97  % (12942)Time elapsed: 0.094 s
% 3.60/0.97  % (12942)Instructions burned: 317 (million)
% 3.60/1.00  % (12926)Running in auto input_syntax mode. Trying TPTP
% 3.60/1.00  % (12944)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/260Mi)
% 3.99/1.00  % (12943)Instruction limit reached!
% 3.99/1.00  % (12943)------------------------------
% 3.99/1.00  % (12943)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.99/1.00  % (12943)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.99/1.00  % (12943)Termination reason: Time limit
% 3.99/1.00  % (12943)Termination phase: Saturation
% 3.99/1.00  
% 3.99/1.00  % (12943)Memory used [KB]: 6565
% 3.99/1.00  % (12943)Time elapsed: 0.104 s
% 3.99/1.00  % (12943)Instructions burned: 430 (million)
% 3.99/1.03  % (12926)Running in auto input_syntax mode. Trying TPTP
% 3.99/1.03  % (12945)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2994ds/160Mi)
% 4.89/1.08  % (12945)Instruction limit reached!
% 4.89/1.08  % (12945)------------------------------
% 4.89/1.08  % (12945)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.89/1.08  % (12945)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.89/1.08  % (12945)Termination reason: Time limit
% 4.89/1.08  % (12945)Termination phase: Saturation
% 4.89/1.08  
% 4.89/1.08  % (12945)Memory used [KB]: 3575
% 4.89/1.08  % (12945)Time elapsed: 0.051 s
% 4.89/1.08  % (12945)Instructions burned: 160 (million)
% 4.89/1.08  % (12944)Instruction limit reached!
% 4.89/1.08  % (12944)------------------------------
% 4.89/1.08  % (12944)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.89/1.08  % (12944)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.89/1.08  % (12944)Termination reason: Time limit
% 4.89/1.08  % (12944)Termination phase: Saturation
% 4.89/1.08  
% 4.89/1.08  % (12944)Memory used [KB]: 3585
% 4.89/1.08  % (12944)Time elapsed: 0.085 s
% 4.89/1.08  % (12944)Instructions burned: 262 (million)
% 4.89/1.12  % (12926)Running in auto input_syntax mode. Trying TPTP
% 4.89/1.12  % (12946)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2993ds/462Mi)
% 4.89/1.12  % (12926)Running in auto input_syntax mode. Trying TPTP
% 4.89/1.12  % (12947)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2993ds/2185Mi)
% 4.89/1.14  % (12941)Instruction limit reached!
% 4.89/1.14  % (12941)------------------------------
% 4.89/1.14  % (12941)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.89/1.14  % (12941)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.89/1.14  % (12941)Termination reason: Time limit
% 4.89/1.14  % (12941)Termination phase: Saturation
% 4.89/1.14  
% 4.89/1.14  % (12941)Memory used [KB]: 8626
% 4.89/1.14  % (12941)Time elapsed: 0.284 s
% 4.89/1.14  % (12941)Instructions burned: 1028 (million)
% 4.89/1.17  % (12926)Running in auto input_syntax mode. Trying TPTP
% 4.89/1.17  % (12948)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2992ds/308Mi)
% 5.58/1.25  % (12948)Instruction limit reached!
% 5.58/1.25  % (12948)------------------------------
% 5.58/1.25  % (12948)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.58/1.25  % (12948)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.58/1.25  % (12948)Termination reason: Time limit
% 5.58/1.25  % (12948)Termination phase: Saturation
% 5.58/1.25  
% 5.58/1.25  % (12948)Memory used [KB]: 8208
% 5.58/1.25  % (12948)Time elapsed: 0.083 s
% 5.58/1.25  % (12948)Instructions burned: 310 (million)
% 5.58/1.26  % (12946)Instruction limit reached!
% 5.58/1.26  % (12946)------------------------------
% 5.58/1.26  % (12946)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.58/1.26  % (12946)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.58/1.26  % (12946)Termination reason: Time limit
% 5.58/1.26  % (12946)Termination phase: Saturation
% 5.58/1.26  
% 5.58/1.26  % (12946)Memory used [KB]: 7034
% 5.58/1.26  % (12946)Time elapsed: 0.141 s
% 5.58/1.26  % (12946)Instructions burned: 463 (million)
% 5.58/1.28  % (12926)Running in auto input_syntax mode. Trying TPTP
% 5.58/1.28  % (12949)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2991ds/336Mi)
% 5.58/1.29  % (12926)Running in auto input_syntax mode. Trying TPTP
% 5.58/1.29  % (12950)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2991ds/349Mi)
% 6.20/1.37  % (12949)Instruction limit reached!
% 6.20/1.37  % (12949)------------------------------
% 6.20/1.37  % (12949)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.20/1.37  % (12949)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.20/1.37  % (12949)Termination reason: Time limit
% 6.20/1.37  % (12949)Termination phase: Saturation
% 6.20/1.37  
% 6.20/1.37  % (12949)Memory used [KB]: 4146
% 6.20/1.37  % (12949)Time elapsed: 0.090 s
% 6.20/1.37  % (12949)Instructions burned: 336 (million)
% 6.20/1.38  % (12950)Instruction limit reached!
% 6.20/1.38  % (12950)------------------------------
% 6.20/1.38  % (12950)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.20/1.38  % (12950)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.20/1.38  % (12950)Termination reason: Time limit
% 6.20/1.38  % (12950)Termination phase: Saturation
% 6.20/1.38  
% 6.20/1.38  % (12950)Memory used [KB]: 3740
% 6.20/1.38  % (12950)Time elapsed: 0.091 s
% 6.20/1.38  % (12950)Instructions burned: 352 (million)
% 6.72/1.40  % (12926)Running in auto input_syntax mode. Trying TPTP
% 6.72/1.40  % (12951)lrs+2_1:1_sil=2000:sos=all:st=5.0:i=193:bd=off:av=off:ss=axioms:sd=2:sup=off_0 on theBenchmark for (2990ds/193Mi)
% 6.72/1.41  % (12926)Running in auto input_syntax mode. Trying TPTP
% 6.72/1.41  % (12952)lrs+1002_1:1_sil=64000:sos=on:urr=ec_only:flr=on:st=3.0:i=632:sd=1:ep=RS:nm=16:ss=axioms_0 on theBenchmark for (2990ds/632Mi)
% 6.72/1.42  % (12952)Refutation not found, incomplete strategy% (12952)------------------------------
% 6.72/1.42  % (12952)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.72/1.42  % (12952)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.72/1.42  % (12952)Termination reason: Refutation not found, incomplete strategy
% 6.72/1.42  
% 6.72/1.42  % (12952)Memory used [KB]: 2454
% 6.72/1.42  % (12952)Time elapsed: 0.012 s
% 6.72/1.42  % (12952)Instructions burned: 40 (million)
% 6.72/1.42  % (12952)------------------------------
% 6.72/1.42  % (12952)------------------------------
% 6.72/1.45  % (12951)Instruction limit reached!
% 6.72/1.45  % (12951)------------------------------
% 6.72/1.45  % (12951)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.72/1.45  % (12951)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.72/1.45  % (12951)Termination reason: Time limit
% 6.72/1.45  % (12951)Termination phase: Saturation
% 6.72/1.45  
% 6.72/1.45  % (12951)Memory used [KB]: 3789
% 6.72/1.45  % (12951)Time elapsed: 0.052 s
% 6.72/1.45  % (12951)Instructions burned: 193 (million)
% 6.72/1.45  % (12926)Running in auto input_syntax mode. Trying TPTP
% 6.72/1.45  % (12953)lrs+1011_4801913:1048576_sfv=off:sil=2000:plsqc=1:plsq=on:plsqr=98277,1048576:etr=on:sp=const_max:lma=on:erape=on:urr=full:rp=on:nwc=23.4614:lwlo=on:st=2.5:i=440:add=large:bs=unit_only:sd=2:kws=inv_arity_squared:awrs=converge:awrsf=951:nm=17:amm=sco:ss=axioms:er=filter:sgt=50:rawr=on:anc=none_0 on theBenchmark for (2989ds/440Mi)
% 7.24/1.48  % (12926)Running in auto input_syntax mode. Trying TPTP
% 7.24/1.48  % (12954)lrs-1011_4:1_bsr=unit_only:sil=4000:sp=occurrence:lsd=20:newcnf=on:i=730:kws=inv_arity_squared:awrs=converge:rawr=on:rp=on:alpa=false:nwc=3.0_0 on theBenchmark for (2989ds/730Mi)
% 7.44/1.59  % (12953)Instruction limit reached!
% 7.44/1.59  % (12953)------------------------------
% 7.44/1.59  % (12953)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.44/1.59  % (12953)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.44/1.59  % (12953)Termination reason: Time limit
% 7.44/1.59  % (12953)Termination phase: Saturation
% 7.44/1.59  
% 7.44/1.59  % (12953)Memory used [KB]: 5826
% 7.44/1.59  % (12953)Time elapsed: 0.140 s
% 7.44/1.59  % (12953)Instructions burned: 440 (million)
% 7.97/1.62  % (12926)Running in auto input_syntax mode. Trying TPTP
% 7.97/1.62  % (12955)lrs+1002_8:1_sil=16000:plsq=on:sos=on:urr=on:plsql=on:st=1.2:i=228:sd=2:ss=axioms_0 on theBenchmark for (2988ds/228Mi)
% 7.97/1.64  % (12954)Instruction limit reached!
% 7.97/1.64  % (12954)------------------------------
% 7.97/1.64  % (12954)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.97/1.64  % (12954)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.97/1.64  % (12954)Termination reason: Time limit
% 7.97/1.64  % (12954)Termination phase: Saturation
% 7.97/1.64  
% 7.97/1.64  % (12954)Memory used [KB]: 11933
% 7.97/1.64  % (12954)Time elapsed: 0.155 s
% 7.97/1.64  % (12954)Instructions burned: 732 (million)
% 7.97/1.67  % (12926)Running in auto input_syntax mode. Trying TPTP
% 7.97/1.67  % (12956)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=1008:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2987ds/1008Mi)
% 7.97/1.69  % (12955)Instruction limit reached!
% 7.97/1.69  % (12955)------------------------------
% 7.97/1.69  % (12955)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.97/1.69  % (12955)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.97/1.69  % (12955)Termination reason: Time limit
% 7.97/1.69  % (12955)Termination phase: Saturation
% 7.97/1.69  
% 7.97/1.69  % (12955)Memory used [KB]: 4527
% 7.97/1.69  % (12955)Time elapsed: 0.067 s
% 7.97/1.69  % (12955)Instructions burned: 230 (million)
% 9.23/1.72  % (12926)Running in auto input_syntax mode. Trying TPTP
% 9.23/1.72  % (12957)dis-1002_1:64_sil=2000:sos=on:nwc=10.0:i=231:nm=2:ss=axioms:ep=RST:sd=1_0 on theBenchmark for (2987ds/231Mi)
% 9.23/1.73  % (12957)Refutation not found, incomplete strategy% (12957)------------------------------
% 9.23/1.73  % (12957)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.23/1.73  % (12957)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.23/1.73  % (12957)Termination reason: Refutation not found, incomplete strategy
% 9.23/1.73  
% 9.23/1.73  % (12957)Memory used [KB]: 2067
% 9.23/1.73  % (12957)Time elapsed: 0.006 s
% 9.23/1.73  % (12957)Instructions burned: 15 (million)
% 9.23/1.73  % (12957)------------------------------
% 9.23/1.73  % (12957)------------------------------
% 9.23/1.76  % (12926)Running in auto input_syntax mode. Trying TPTP
% 9.23/1.76  % (12958)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=501:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2986ds/501Mi)
% 9.23/1.76  % (12947)Instruction limit reached!
% 9.23/1.76  % (12947)------------------------------
% 9.23/1.76  % (12947)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.23/1.76  % (12947)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.23/1.76  % (12947)Termination reason: Time limit
% 9.23/1.76  % (12947)Termination phase: Saturation
% 9.23/1.76  
% 9.23/1.76  % (12947)Memory used [KB]: 14738
% 9.23/1.76  % (12947)Time elapsed: 0.650 s
% 9.23/1.76  % (12947)Instructions burned: 2188 (million)
% 9.85/1.80  % (12926)Running in auto input_syntax mode. Trying TPTP
% 9.85/1.80  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 9.85/1.80  % (12959)dis-1011_100103:1048576_bsr=on:drc=encompass:sil=2000:tgt=full:bsd=on:ile=on:sp=const_min:rnwc=on:nwc=23.5528:s2agt=30:avsqc=2:avsq=on:s2a=on:i=411:s2at=6:avsqr=111405,262144:bsdmm=3:nm=40:uhcvi=on:afr=on:ss=axioms:sgt=5:rawr=on:add=large_0 on theBenchmark for (2986ds/411Mi)
% 10.40/1.91  % (12958)Instruction limit reached!
% 10.40/1.91  % (12958)------------------------------
% 10.40/1.91  % (12958)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.40/1.91  % (12958)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.40/1.91  % (12958)Termination reason: Time limit
% 10.40/1.91  % (12958)Termination phase: Saturation
% 10.40/1.91  
% 10.40/1.91  % (12958)Memory used [KB]: 5111
% 10.40/1.91  % (12958)Time elapsed: 0.175 s
% 10.40/1.91  % (12958)Instructions burned: 502 (million)
% 10.40/1.94  % (12956)Instruction limit reached!
% 10.40/1.94  % (12956)------------------------------
% 10.40/1.94  % (12956)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.40/1.94  % (12956)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.40/1.94  % (12956)Termination reason: Time limit
% 10.40/1.94  % (12956)Termination phase: Saturation
% 10.40/1.94  
% 10.40/1.94  % (12956)Memory used [KB]: 8729
% 10.40/1.94  % (12956)Time elapsed: 0.266 s
% 10.40/1.94  % (12956)Instructions burned: 1008 (million)
% 10.40/1.94  % (12959)Instruction limit reached!
% 10.40/1.94  % (12959)------------------------------
% 10.40/1.94  % (12959)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.40/1.94  % (12959)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.40/1.94  % (12959)Termination reason: Time limit
% 10.40/1.94  % (12959)Termination phase: Saturation
% 10.40/1.94  
% 10.40/1.94  % (12959)Memory used [KB]: 3693
% 10.40/1.94  % (12959)Time elapsed: 0.162 s
% 10.40/1.94  % (12959)Instructions burned: 412 (million)
% 10.40/1.94  % (12926)Running in auto input_syntax mode. Trying TPTP
% 10.40/1.94  % (12960)dis+1011_3:8_bsr=unit_only:slsqr=1,16:sil=2000:plsq=on:plsqr=296,127:sp=reverse_frequency:lsd=5:nwc=10.0:slsqc=3:slsq=on:st=3.0:i=412:s2at=4.5:sd=4:slsql=off:nm=16:ins=5:ss=axioms:sgt=20:rawr=on:urr=ec_only:to=lpo_0 on theBenchmark for (2985ds/412Mi)
% 10.40/1.97  % (12926)Running in auto input_syntax mode. Trying TPTP
% 10.40/1.97  % (12961)lrs+1002_1:16_sil=4000:sos=on:sac=on:i=886:bs=unit_only:gsp=on:ss=included:sgt=16:fsr=off:sfv=off:bd=off_0 on theBenchmark for (2984ds/886Mi)
% 10.40/1.97  % (12926)Running in auto input_syntax mode. Trying TPTP
% 10.40/1.97  % (12962)dis+1011_3:1_sil=2000:lsd=10:sac=on:s2a=on:i=258:fsr=off:fd=off:ss=axioms:sd=2:sgt=16_0 on theBenchmark for (2984ds/258Mi)
% 11.14/2.05  % (12960)Instruction limit reached!
% 11.14/2.05  % (12960)------------------------------
% 11.14/2.05  % (12960)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.14/2.05  % (12960)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.14/2.05  % (12960)Termination reason: Time limit
% 11.14/2.05  % (12960)Termination phase: Saturation
% 11.14/2.05  
% 11.14/2.05  % (12960)Memory used [KB]: 4408
% 11.14/2.05  % (12960)Time elapsed: 0.132 s
% 11.14/2.05  % (12960)Instructions burned: 413 (million)
% 11.14/2.05  % (12962)Instruction limit reached!
% 11.14/2.05  % (12962)------------------------------
% 11.14/2.05  % (12962)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.14/2.05  % (12962)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.14/2.05  % (12962)Termination reason: Time limit
% 11.14/2.05  % (12962)Termination phase: Saturation
% 11.14/2.05  
% 11.14/2.05  % (12962)Memory used [KB]: 4583
% 11.14/2.05  % (12962)Time elapsed: 0.109 s
% 11.14/2.05  % (12962)Instructions burned: 259 (million)
% 11.76/2.08  % (12926)Running in auto input_syntax mode. Trying TPTP
% 11.76/2.08  % (12963)lrs+21_1:1024_sil=2000:sp=frequency:spb=non_intro:st=3.5:i=420:sd=3:kws=precedence:bd=off:av=off:ss=axioms:sup=off:lcm=predicate_0 on theBenchmark for (2983ds/420Mi)
% 11.76/2.09  % (12926)Running in auto input_syntax mode. Trying TPTP
% 11.76/2.09  % (12964)lrs-1011_1:1_sil=16000:urr=ec_only:flr=on:i=262:ep=RST:ss=axioms:sd=1:lsd=50_0 on theBenchmark for (2983ds/262Mi)
% 11.76/2.16  % (12964)Instruction limit reached!
% 11.76/2.16  % (12964)------------------------------
% 11.76/2.16  % (12964)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.76/2.16  % (12964)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.76/2.16  % (12964)Termination reason: Time limit
% 11.76/2.16  % (12964)Termination phase: Saturation
% 11.76/2.16  
% 11.76/2.16  % (12964)Memory used [KB]: 3176
% 11.76/2.16  % (12964)Time elapsed: 0.103 s
% 11.76/2.16  % (12964)Instructions burned: 263 (million)
% 11.76/2.17  % (12963)Instruction limit reached!
% 11.76/2.17  % (12963)------------------------------
% 11.76/2.17  % (12963)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.76/2.17  % (12963)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.76/2.17  % (12963)Termination reason: Time limit
% 11.76/2.17  % (12963)Termination phase: Saturation
% 11.76/2.17  
% 11.76/2.17  % (12963)Memory used [KB]: 7735
% 11.76/2.17  % (12963)Time elapsed: 0.092 s
% 11.76/2.17  % (12963)Instructions burned: 421 (million)
% 11.76/2.17  % (12961)Instruction limit reached!
% 11.76/2.17  % (12961)------------------------------
% 11.76/2.17  % (12961)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.76/2.17  % (12961)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.76/2.17  % (12961)Termination reason: Time limit
% 11.76/2.17  % (12961)Termination phase: Saturation
% 11.76/2.17  
% 11.76/2.17  % (12961)Memory used [KB]: 14280
% 11.76/2.17  % (12961)Time elapsed: 0.229 s
% 11.76/2.17  % (12961)Instructions burned: 886 (million)
% 12.64/2.19  % (12926)Running in auto input_syntax mode. Trying TPTP
% 12.64/2.19  % (12965)lrs+1002_1:1_to=lpo:sil=4000:sos=on:i=425:sd=1:ss=included_0 on theBenchmark for (2982ds/425Mi)
% 12.69/2.21  % (12926)Running in auto input_syntax mode. Trying TPTP
% 12.69/2.21  % (12966)lrs+1011_1:64_slsqr=117407,1048576:drc=encompass:sil=2000:plsqc=1:plsq=on:plsqr=32300765,1048576:urr=ec_only:rp=on:slsqc=3:slsq=on:i=619:slsql=off:bd=off:rawr=on:fsr=off:br=off:s2at=2.0_0 on theBenchmark for (2982ds/619Mi)
% 12.69/2.21  % (12926)Running in auto input_syntax mode. Trying TPTP
% 12.69/2.21  % (12967)lrs+2_1:1_sil=2000:tgt=ground:sos=on:i=274:sd=1:ss=included:to=lpo:plsq=on:plsqr=32,1_0 on theBenchmark for (2982ds/274Mi)
% 12.74/2.28  % (12967)Instruction limit reached!
% 12.74/2.28  % (12967)------------------------------
% 12.74/2.28  % (12967)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.74/2.28  % (12967)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.74/2.28  % (12967)Termination reason: Time limit
% 12.74/2.28  % (12967)Termination phase: Saturation
% 12.74/2.28  
% 12.74/2.28  % (12967)Memory used [KB]: 5910
% 12.74/2.28  % (12967)Time elapsed: 0.073 s
% 12.74/2.28  % (12967)Instructions burned: 275 (million)
% 13.23/2.31  % (12926)Running in auto input_syntax mode. Trying TPTP
% 13.23/2.31  % (12968)lrs-1011_1:1_bsr=unit_only:sil=2000:sp=occurrence:sac=on:i=280:sd=3:ss=axioms:sgt=30:newcnf=on_0 on theBenchmark for (2981ds/280Mi)
% 13.23/2.32  % (12965)Instruction limit reached!
% 13.23/2.32  % (12965)------------------------------
% 13.23/2.32  % (12965)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.23/2.32  % (12965)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.23/2.32  % (12965)Termination reason: Time limit
% 13.23/2.32  % (12965)Termination phase: Saturation
% 13.23/2.32  
% 13.23/2.32  % (12965)Memory used [KB]: 6672
% 13.23/2.32  % (12965)Time elapsed: 0.147 s
% 13.23/2.32  % (12965)Instructions burned: 427 (million)
% 13.23/2.35  % (12926)Running in auto input_syntax mode. Trying TPTP
% 13.23/2.35  % (12969)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=280:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2980ds/280Mi)
% 13.23/2.38  % (12966)Instruction limit reached!
% 13.23/2.38  % (12966)------------------------------
% 13.23/2.38  % (12966)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.23/2.38  % (12966)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.23/2.38  % (12966)Termination reason: Time limit
% 13.23/2.38  % (12966)Termination phase: Saturation
% 13.23/2.38  
% 13.23/2.38  % (12966)Memory used [KB]: 8169
% 13.23/2.38  % (12966)Time elapsed: 0.170 s
% 13.23/2.38  % (12966)Instructions burned: 622 (million)
% 13.23/2.41  % (12968)Instruction limit reached!
% 13.23/2.41  % (12968)------------------------------
% 13.23/2.41  % (12968)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.23/2.41  % (12968)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.23/2.41  % (12968)Termination reason: Time limit
% 13.23/2.41  % (12968)Termination phase: Saturation
% 13.23/2.41  
% 13.23/2.41  % (12968)Memory used [KB]: 4429
% 13.23/2.41  % (12968)Time elapsed: 0.097 s
% 13.23/2.41  % (12968)Instructions burned: 282 (million)
% 13.23/2.41  % (12926)Running in auto input_syntax mode. Trying TPTP
% 13.23/2.41  % (12970)dis+1011_1:1_sil=2000:urr=ec_only:br=off:st=1.5:i=497:fsr=off:fsd=on:ss=axioms:slsq=on:slsql=off:slsqr=1,16:sup=off_0 on theBenchmark for (2980ds/497Mi)
% 14.25/2.43  % (12969)Instruction limit reached!
% 14.25/2.43  % (12969)------------------------------
% 14.25/2.43  % (12969)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.25/2.43  % (12969)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.25/2.43  % (12969)Termination reason: Time limit
% 14.25/2.43  % (12969)Termination phase: Saturation
% 14.25/2.43  
% 14.25/2.43  % (12969)Memory used [KB]: 4001
% 14.25/2.43  % (12969)Time elapsed: 0.089 s
% 14.25/2.43  % (12969)Instructions burned: 280 (million)
% 14.25/2.44  % (12926)Running in auto input_syntax mode. Trying TPTP
% 14.25/2.44  % (12971)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=321:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2980ds/321Mi)
% 14.25/2.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 14.25/2.47  % (12972)lrs-10_1:1_to=lpo:drc=off:sil=8000:sos=on:i=550:ss=axioms:sd=1_0 on theBenchmark for (2979ds/550Mi)
% 14.25/2.48  % (12970)Refutation not found, incomplete strategy% (12970)------------------------------
% 14.25/2.48  % (12970)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.25/2.48  % (12970)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.25/2.48  % (12970)Termination reason: Refutation not found, incomplete strategy
% 14.25/2.48  
% 14.25/2.48  % (12970)Memory used [KB]: 3663
% 14.25/2.48  % (12970)Time elapsed: 0.068 s
% 14.25/2.48  % (12970)Instructions burned: 228 (million)
% 14.25/2.48  % (12970)------------------------------
% 14.25/2.48  % (12970)------------------------------
% 14.73/2.51  % (12926)Running in auto input_syntax mode. Trying TPTP
% 14.73/2.51  % (12973)lrs-1002_3:2_sil=2000:sos=on:fd=off:nwc=10.0:flr=on:i=554:nm=16:fsr=off:sup=off:ss=axioms:fs=off:bd=off:fde=none:erd=off_0 on theBenchmark for (2979ds/554Mi)
% 14.73/2.51  % (12973)Refutation not found, incomplete strategy% (12973)------------------------------
% 14.73/2.51  % (12973)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.73/2.51  % (12973)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.73/2.51  % (12973)Termination reason: Refutation not found, incomplete strategy
% 14.73/2.51  
% 14.73/2.51  % (12973)Memory used [KB]: 2243
% 14.73/2.51  % (12973)Time elapsed: 0.007 s
% 14.73/2.51  % (12973)Instructions burned: 22 (million)
% 14.73/2.52  % (12973)------------------------------
% 14.73/2.52  % (12973)------------------------------
% 14.73/2.53  % (12971)Instruction limit reached!
% 14.73/2.53  % (12971)------------------------------
% 14.73/2.53  % (12971)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.73/2.53  % (12971)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.73/2.53  % (12971)Termination reason: Time limit
% 14.73/2.53  % (12971)Termination phase: Saturation
% 14.73/2.53  
% 14.73/2.53  % (12971)Memory used [KB]: 8932
% 14.73/2.53  % (12971)Time elapsed: 0.090 s
% 14.73/2.53  % (12971)Instructions burned: 321 (million)
% 14.73/2.55  % (12926)Running in auto input_syntax mode. Trying TPTP
% 14.73/2.55  % (12974)lrs+2_5:1_to=lpo:sil=2000:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=all:lma=on:i=337:gsp=on:ss=axioms:rawr=on:sup=off:s2a=on:s2at=3.0_0 on theBenchmark for (2979ds/337Mi)
% 14.73/2.56  % (12926)Running in auto input_syntax mode. Trying TPTP
% 14.73/2.56  % (12975)lrs+11_1:8_sil=2000:fde=unused:sos=all:spb=goal_then_units:lsd=100:i=341:kws=precedence:aac=none:sfv=off_0 on theBenchmark for (2978ds/341Mi)
% 14.73/2.56  % (12974)Refutation not found, incomplete strategy% (12974)------------------------------
% 14.73/2.56  % (12974)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.73/2.56  % (12974)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.73/2.56  % (12974)Termination reason: Refutation not found, incomplete strategy
% 14.73/2.56  
% 14.73/2.56  % (12974)Memory used [KB]: 2415
% 14.73/2.56  % (12974)Time elapsed: 0.016 s
% 14.73/2.56  % (12974)Instructions burned: 47 (million)
% 14.73/2.56  % (12974)------------------------------
% 14.73/2.56  % (12974)------------------------------
% 14.73/2.59  % (12926)Running in auto input_syntax mode. Trying TPTP
% 14.73/2.59  % (12976)dis+1002_1:28_sil=64000:sos=on:s2agt=8:sac=on:i=3780:s2a=on:s2at=2.5:ep=RSTC_0 on theBenchmark for (2978ds/3780Mi)
% 15.30/2.61  % (12972)Instruction limit reached!
% 15.30/2.61  % (12972)------------------------------
% 15.30/2.61  % (12972)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.30/2.61  % (12972)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.30/2.61  % (12972)Termination reason: Time limit
% 15.30/2.61  % (12972)Termination phase: Saturation
% 15.30/2.61  
% 15.30/2.61  % (12972)Memory used [KB]: 4678
% 15.30/2.61  % (12972)Time elapsed: 0.143 s
% 15.30/2.61  % (12972)Instructions burned: 551 (million)
% 15.30/2.64  % (12926)Running in auto input_syntax mode. Trying TPTP
% 15.30/2.64  % (12977)dis+1011_1:4_sil=8000:tgt=full:st=1.5:s2a=on:i=2134:s2at=1.2:sd=5:ss=axioms:ep=RS:av=off_0 on theBenchmark for (2978ds/2134Mi)
% 15.30/2.66  % (12975)Instruction limit reached!
% 15.30/2.66  % (12975)------------------------------
% 15.30/2.66  % (12975)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.30/2.66  % (12975)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.30/2.66  % (12975)Termination reason: Time limit
% 15.30/2.66  % (12975)Termination phase: Saturation
% 15.30/2.66  
% 15.30/2.66  % (12975)Memory used [KB]: 6150
% 15.30/2.66  % (12975)Time elapsed: 0.097 s
% 15.30/2.66  % (12975)Instructions burned: 341 (million)
% 15.30/2.69  % (12926)Running in auto input_syntax mode. Trying TPTP
% 15.30/2.69  % (12978)lrs-1002_1:1_anc=all:sil=64000:tgt=full:sos=on:st=1.5:i=371:sd=2:kws=inv_frequency:aac=none:fsr=off:ss=axioms:abs=on:fs=off_0 on theBenchmark for (2977ds/371Mi)
% 16.01/2.70  % (12978)Refutation not found, incomplete strategy% (12978)------------------------------
% 16.01/2.70  % (12978)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.01/2.70  % (12978)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.01/2.70  % (12978)Termination reason: Refutation not found, incomplete strategy
% 16.01/2.70  
% 16.01/2.70  % (12978)Memory used [KB]: 2603
% 16.01/2.70  % (12978)Time elapsed: 0.015 s
% 16.01/2.70  % (12978)Instructions burned: 47 (million)
% 16.01/2.70  % (12978)------------------------------
% 16.01/2.70  % (12978)------------------------------
% 16.01/2.74  % (12926)Running in auto input_syntax mode. Trying TPTP
% 16.01/2.74  % (12979)dis+33_1:1_to=lpo:sil=16000:plsq=on:nwc=3.0:s2agt=16:s2a=on:i=3658:s2at=5.5:nm=2:av=off:fsr=off:s2pl=no:ep=RS:erd=off_0 on theBenchmark for (2977ds/3658Mi)
% 18.06/3.27  % (12977)Instruction limit reached!
% 18.06/3.27  % (12977)------------------------------
% 18.06/3.27  % (12977)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.06/3.27  % (12977)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.06/3.27  % (12977)Termination reason: Time limit
% 18.06/3.27  % (12977)Termination phase: Saturation
% 18.06/3.27  
% 18.06/3.27  % (12977)Memory used [KB]: 9958
% 18.06/3.27  % (12977)Time elapsed: 0.629 s
% 18.06/3.27  % (12977)Instructions burned: 2135 (million)
% 18.06/3.30  % (12926)Running in auto input_syntax mode. Trying TPTP
% 18.06/3.30  % (12980)dis+1010_2:13_bsr=on:drc=off:sil=32000:fde=none:sos=on:nwc=10.0:sac=on:newcnf=on:s2a=on:i=663:s2at=1.5:awrs=decay:awrsf=8:nm=16:rawr=on:rnwc=on:kws=arity_squared:amm=sco:alpa=random_0 on theBenchmark for (2971ds/663Mi)
% 21.18/3.47  % (12980)Instruction limit reached!
% 21.18/3.47  % (12980)------------------------------
% 21.18/3.47  % (12980)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.18/3.47  % (12980)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.18/3.47  % (12980)Termination reason: Time limit
% 21.18/3.47  % (12980)Termination phase: Saturation
% 21.18/3.47  
% 21.18/3.47  % (12980)Memory used [KB]: 7131
% 21.18/3.47  % (12980)Time elapsed: 0.196 s
% 21.18/3.47  % (12980)Instructions burned: 666 (million)
% 21.73/3.51  % (12926)Running in auto input_syntax mode. Trying TPTP
% 21.73/3.51  % (12981)lrs+1011_5:1_drc=encompass:sil=2000:urr=on:fd=preordered:i=2101:kws=inv_frequency:s2a=on:s2at=-1.0_0 on theBenchmark for (2969ds/2101Mi)
% 22.31/3.59  % (12976)Instruction limit reached!
% 22.31/3.59  % (12976)------------------------------
% 22.31/3.59  % (12976)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.31/3.59  % (12976)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.31/3.59  % (12976)Termination reason: Time limit
% 22.31/3.59  % (12976)Termination phase: Saturation
% 22.31/3.59  
% 22.31/3.59  % (12976)Memory used [KB]: 19866
% 22.31/3.59  % (12976)Time elapsed: 0.996 s
% 22.31/3.59  % (12976)Instructions burned: 3781 (million)
% 22.56/3.62  % (12926)Running in auto input_syntax mode. Trying TPTP
% 22.56/3.62  % (12982)dis+1002_1:1_sil=16000:tgt=ground:sac=on:i=714:sd=2:aac=none:ss=axioms:nwc=10.0_0 on theBenchmark for (2968ds/714Mi)
% 23.37/3.84  % (12982)Instruction limit reached!
% 23.37/3.84  % (12982)------------------------------
% 23.37/3.84  % (12982)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.37/3.84  % (12982)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.37/3.84  % (12982)Termination reason: Time limit
% 23.37/3.84  % (12982)Termination phase: Saturation
% 23.37/3.84  
% 23.37/3.84  % (12982)Memory used [KB]: 5541
% 23.37/3.84  % (12982)Time elapsed: 0.214 s
% 23.37/3.84  % (12982)Instructions burned: 714 (million)
% 23.37/3.87  % (12926)Running in auto input_syntax mode. Trying TPTP
% 23.37/3.87  % (12983)lrs+1011_4345945:1048576_bsr=unit_only:sil=8000:tgt=full:irw=on:fde=none:sos=on:lma=on:spb=intro:abs=on:urr=on:br=off:fd=preordered:rp=on:nwc=14.3155:s2agt=50:alpa=random:kmz=on:updr=off:s2a=on:i=423:add=off:bs=on:kws=inv_arity_squared:afp=100000:aac=none:awrs=decay:awrsf=1366:nm=2:ins=2:afq=4.07453:uhcvi=on:afr=on:rawr=on:sp=unary_first:bd=off:fsd=on:fsdmm=1:s2at=5.0:sup=off_0 on theBenchmark for (2965ds/423Mi)
% 24.61/3.90  % (12979)Instruction limit reached!
% 24.61/3.90  % (12979)------------------------------
% 24.61/3.90  % (12979)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.61/3.90  % (12979)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.61/3.90  % (12979)Termination reason: Time limit
% 24.61/3.90  % (12979)Termination phase: Saturation
% 24.61/3.90  
% 24.61/3.90  % (12979)Memory used [KB]: 39790
% 24.61/3.90  % (12979)Time elapsed: 1.167 s
% 24.61/3.90  % (12979)Instructions burned: 3659 (million)
% 24.90/3.94  % (12926)Running in auto input_syntax mode. Trying TPTP
% 24.90/3.94  % (12984)lrs+1010_1:28_sil=2000:s2agt=16:st=3.0:s2a=on:i=427:sd=3:ss=axioms:av=off:slsq=on_0 on theBenchmark for (2965ds/427Mi)
% 24.90/3.98  % (12983)Instruction limit reached!
% 24.90/3.98  % (12983)------------------------------
% 24.90/3.98  % (12983)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.90/3.98  % (12983)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.90/3.98  % (12983)Termination reason: Time limit
% 24.90/3.98  % (12983)Termination phase: Saturation
% 24.90/3.98  
% 24.90/3.98  % (12983)Memory used [KB]: 7575
% 24.90/3.98  % (12983)Time elapsed: 0.110 s
% 24.90/3.98  % (12983)Instructions burned: 423 (million)
% 24.90/4.01  % (12926)Running in auto input_syntax mode. Trying TPTP
% 24.90/4.01  % (12985)lrs+11_2:1_to=lpo:sil=2000:tgt=ground:sp=const_frequency:i=456:bd=off:fsr=off:ss=axioms:av=off:s2a=on:s2at=-1.0_0 on theBenchmark for (2964ds/456Mi)
% 25.38/4.07  % (12984)Instruction limit reached!
% 25.38/4.07  % (12984)------------------------------
% 25.38/4.07  % (12984)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.38/4.07  % (12984)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.38/4.07  % (12984)Termination reason: Time limit
% 25.38/4.07  % (12984)Termination phase: Saturation
% 25.38/4.07  
% 25.38/4.07  % (12984)Memory used [KB]: 5278
% 25.38/4.07  % (12984)Time elapsed: 0.131 s
% 25.38/4.07  % (12984)Instructions burned: 428 (million)
% 25.87/4.10  % (12926)Running in auto input_syntax mode. Trying TPTP
% 25.87/4.10  % (12986)dis+1011_2:1_sil=2000:fde=unused:plsqc=1:plsq=on:plsqr=36971,524288:nwc=5.0:i=479:ep=RS:nm=7_0 on theBenchmark for (2963ds/479Mi)
% 25.87/4.14  % (12985)Instruction limit reached!
% 25.87/4.14  % (12985)------------------------------
% 25.87/4.14  % (12985)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.87/4.14  % (12985)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.87/4.14  % (12985)Termination reason: Time limit
% 25.87/4.14  % (12985)Termination phase: Saturation
% 25.87/4.14  
% 25.87/4.14  % (12985)Memory used [KB]: 5204
% 25.87/4.14  % (12985)Time elapsed: 0.131 s
% 25.87/4.14  % (12985)Instructions burned: 459 (million)
% 25.87/4.16  % (12981)Instruction limit reached!
% 25.87/4.16  % (12981)------------------------------
% 25.87/4.16  % (12981)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.87/4.16  % (12981)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.87/4.16  % (12981)Termination reason: Time limit
% 25.87/4.16  % (12981)Termination phase: Saturation
% 25.87/4.16  
% 25.87/4.16  % (12981)Memory used [KB]: 15504
% 25.87/4.16  % (12981)Time elapsed: 0.651 s
% 25.87/4.16  % (12981)Instructions burned: 2102 (million)
% 26.45/4.17  % (12926)Running in auto input_syntax mode. Trying TPTP
% 26.45/4.17  % (12987)dis+1011_1:1_drc=off:sil=2000:fde=unused:sp=const_min:spb=goal_then_units:lsd=20:s2agt=10:newcnf=on:s2a=on:i=869:nm=2:av=off:rawr=on:fsd=on_0 on theBenchmark for (2962ds/869Mi)
% 26.50/4.19  % (12926)Running in auto input_syntax mode. Trying TPTP
% 26.50/4.19  % (12988)dis+11_1:1024_to=lpo:sil=16000:sp=reverse_arity:sos=all:st=1.5:i=511:bd=off:av=off:ss=axioms:sfv=off:sd=4:fd=off_0 on theBenchmark for (2962ds/511Mi)
% 26.74/4.24  % (12986)Instruction limit reached!
% 26.74/4.24  % (12986)------------------------------
% 26.74/4.24  % (12986)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 26.74/4.24  % (12986)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 26.74/4.24  % (12986)Termination reason: Time limit
% 26.74/4.24  % (12986)Termination phase: Saturation
% 26.74/4.24  
% 26.74/4.24  % (12986)Memory used [KB]: 7221
% 26.74/4.24  % (12986)Time elapsed: 0.161 s
% 26.74/4.24  % (12986)Instructions burned: 481 (million)
% 26.74/4.27  % (12926)Running in auto input_syntax mode. Trying TPTP
% 26.74/4.27  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 26.74/4.27  % (12989)ott-1010_1915907:1048576_to=lpo:sil=2000:plsq=on:ile=on:plsqr=319573,262144:sp=reverse_arity:sos=on:nwc=6.38626:s2agt=10:avsq=on:s2a=on:i=511:s2at=5.5:sd=1:afp=40000:avsqr=5709,524288:nm=9:ins=2:fsr=off:afq=1.49663:ss=included:rawr=on:acc=model:ccuc=small_ones:fs=off:spb=goal_0 on theBenchmark for (2961ds/511Mi)
% 27.23/4.33  % (12988)Instruction limit reached!
% 27.23/4.33  % (12988)------------------------------
% 27.23/4.33  % (12988)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.23/4.33  % (12988)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.23/4.33  % (12988)Termination reason: Time limit
% 27.23/4.33  % (12988)Termination phase: Saturation
% 27.23/4.33  
% 27.23/4.33  % (12988)Memory used [KB]: 4810
% 27.23/4.33  % (12988)Time elapsed: 0.159 s
% 27.23/4.33  % (12988)Instructions burned: 514 (million)
% 27.23/4.36  % (12926)Running in auto input_syntax mode. Trying TPTP
% 27.23/4.36  % (12990)lrs+1011_1:8_to=lpo:sil=2000:sos=all:urr=ec_only:br=off:nwc=10.0:newcnf=on:st=3.0:i=548:sd=3:bd=off:nm=2:fdi=50:ss=axioms:sfv=off:sac=on_0 on theBenchmark for (2960ds/548Mi)
% 27.67/4.40  % (12989)Instruction limit reached!
% 27.67/4.40  % (12989)------------------------------
% 27.67/4.40  % (12989)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.67/4.40  % (12989)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.67/4.40  % (12989)Termination reason: Time limit
% 27.67/4.40  % (12989)Termination phase: Saturation
% 27.67/4.40  
% 27.67/4.40  % (12989)Memory used [KB]: 9161
% 27.67/4.40  % (12989)Time elapsed: 0.158 s
% 27.67/4.40  % (12989)Instructions burned: 513 (million)
% 27.67/4.44  % (12987)Instruction limit reached!
% 27.67/4.44  % (12987)------------------------------
% 27.67/4.44  % (12987)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.67/4.44  % (12987)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.67/4.44  % (12987)Termination reason: Time limit
% 27.67/4.44  % (12987)Termination phase: Saturation
% 27.67/4.44  
% 27.67/4.44  % (12987)Memory used [KB]: 7803
% 27.67/4.44  % (12987)Time elapsed: 0.286 s
% 27.67/4.44  % (12987)Instructions burned: 871 (million)
% 27.67/4.44  % (12926)Running in auto input_syntax mode. Trying TPTP
% 27.67/4.44  % (12991)lrs+1010_174643:1048576_anc=none:drc=off:sil=2000:tgt=full:sims=off:sp=frequency:lma=on:urr=on:nwc=0.442624:alpa=random:nicw=on:st=3:i=565:sd=4:awrs=decay:awrsf=1057:bd=off:nm=6:ins=1:ss=axioms:sgt=10:rawr=on:afp=2000:afq=1.0096899854800578:br=off_0 on theBenchmark for (2959ds/565Mi)
% 27.67/4.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 27.67/4.47  % (12992)dis+21_16:1_to=lpo:sil=2000:sp=frequency:urr=on:nwc=10.0:s2a=on:i=585:sd=1:nm=6:ss=included:fsr=off:gsp=on_0 on theBenchmark for (2959ds/585Mi)
% 28.86/4.50  % (12990)Instruction limit reached!
% 28.86/4.50  % (12990)------------------------------
% 28.86/4.50  % (12990)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.86/4.50  % (12990)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.86/4.50  % (12990)Termination reason: Time limit
% 28.86/4.50  % (12990)Termination phase: Saturation
% 28.86/4.50  
% 28.86/4.50  % (12990)Memory used [KB]: 5441
% 28.86/4.50  % (12990)Time elapsed: 0.166 s
% 28.86/4.50  % (12990)Instructions burned: 548 (million)
% 29.10/4.54  % (12926)Running in auto input_syntax mode. Trying TPTP
% 29.10/4.54  % (12993)lrs-1010_1:128_tgt=ground:si=on:plsq=on:plsqr=2087559,524288:sos=on:st=1.5:i=590:sd=2:rtra=on:ss=included:sil=128000:ins=1:gsp=on:anc=all_dependent_0 on theBenchmark for (2959ds/590Mi)
% 29.10/4.56  % (12991)Instruction limit reached!
% 29.10/4.56  % (12991)------------------------------
% 29.10/4.56  % (12991)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.10/4.56  % (12991)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.10/4.56  % (12991)Termination reason: Time limit
% 29.10/4.56  % (12991)Termination phase: Saturation
% 29.10/4.56  
% 29.10/4.56  % (12991)Memory used [KB]: 10428
% 29.10/4.56  % (12991)Time elapsed: 0.125 s
% 29.10/4.56  % (12991)Instructions burned: 569 (million)
% 29.10/4.59  % (12926)Running in auto input_syntax mode. Trying TPTP
% 29.10/4.59  % (12994)lrs+1002_1:1_sil=4000:plsq=on:sos=on:plsql=on:i=1095:ss=axioms:sgt=10:avsq=on:avsqr=1,16:ep=RS_0 on theBenchmark for (2958ds/1095Mi)
% 29.48/4.60  % (12994)Refutation not found, incomplete strategy% (12994)------------------------------
% 29.48/4.60  % (12994)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.48/4.60  % (12994)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.48/4.60  % (12994)Termination reason: Refutation not found, incomplete strategy
% 29.48/4.60  
% 29.48/4.60  % (12994)Memory used [KB]: 2404
% 29.48/4.60  % (12994)Time elapsed: 0.010 s
% 29.48/4.60  % (12994)Instructions burned: 34 (million)
% 29.48/4.60  % (12994)------------------------------
% 29.48/4.60  % (12994)------------------------------
% 29.48/4.62  % (12992)Instruction limit reached!
% 29.48/4.62  % (12992)------------------------------
% 29.48/4.62  % (12992)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.48/4.62  % (12992)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.48/4.62  % (12992)Termination reason: Time limit
% 29.48/4.62  % (12992)Termination phase: Saturation
% 29.48/4.62  
% 29.48/4.62  % (12992)Memory used [KB]: 6974
% 29.48/4.62  % (12992)Time elapsed: 0.152 s
% 29.48/4.62  % (12992)Instructions burned: 587 (million)
% 29.48/4.64  % (12926)Running in auto input_syntax mode. Trying TPTP
% 29.48/4.64  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 29.48/4.64  % (12995)dis+1011_1869663:524288_anc=none:to=lpo:sil=2000:tgt=full:ile=on:sp=weighted_frequency:spb=goal:lsd=20:nwc=21.2407:i=600:sd=1:bd=preordered:nm=4:ins=1:uhcvi=on:gsp=on:ss=axioms_0 on theBenchmark for (2958ds/600Mi)
% 29.48/4.65  % (12926)Running in auto input_syntax mode. Trying TPTP
% 29.48/4.65  % (12996)lrs-1010_1:1024_anc=all_dependent:to=lpo:sp=const_frequency:sos=on:br=off:nwc=10.0:i=618:nm=30:newcnf=on:sil=8000:bd=off:fde=unused:ss=axioms_0 on theBenchmark for (2958ds/618Mi)
% 29.48/4.66  % (12996)Refutation not found, incomplete strategy% (12996)------------------------------
% 29.48/4.66  % (12996)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.48/4.66  % (12996)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.48/4.66  % (12996)Termination reason: Refutation not found, incomplete strategy
% 29.48/4.66  
% 29.48/4.66  % (12996)Memory used [KB]: 2385
% 29.48/4.66  % (12996)Time elapsed: 0.010 s
% 29.48/4.66  % (12996)Instructions burned: 31 (million)
% 29.48/4.66  % (12996)------------------------------
% 29.48/4.66  % (12996)------------------------------
% 29.85/4.69  % (12926)Running in auto input_syntax mode. Trying TPTP
% 29.85/4.69  % (12997)lrs+1011_1:1_sil=16000:sos=all:i=619:sd=2:kws=frequency:bd=off:nm=2:ss=axioms:sup=off_0 on theBenchmark for (2957ds/619Mi)
% 29.85/4.71  % (12993)Instruction limit reached!
% 29.85/4.71  % (12993)------------------------------
% 29.85/4.71  % (12993)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.85/4.71  % (12993)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.85/4.71  % (12993)Termination reason: Time limit
% 29.85/4.71  % (12993)Termination phase: Saturation
% 29.85/4.71  
% 29.85/4.71  % (12993)Memory used [KB]: 7930
% 29.85/4.71  % (12993)Time elapsed: 0.172 s
% 29.85/4.71  % (12993)Instructions burned: 594 (million)
% 29.85/4.74  % (12926)Running in auto input_syntax mode. Trying TPTP
% 29.85/4.74  % (12998)lrs+11_1:1_sos=on:urr=on:s2a=on:i=2202:sd=1:aac=none:ss=axioms:gsp=on:sil=128000:nm=3:bce=on:fd=preordered:alpa=true:etr=on:bd=off:lcm=predicate_0 on theBenchmark for (2957ds/2202Mi)
% 30.59/4.81  % (12995)Instruction limit reached!
% 30.59/4.81  % (12995)------------------------------
% 30.59/4.81  % (12995)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.59/4.81  % (12995)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.59/4.81  % (12995)Termination reason: Time limit
% 30.59/4.81  % (12995)Termination phase: Saturation
% 30.59/4.81  
% 30.59/4.81  % (12995)Memory used [KB]: 4886
% 30.59/4.81  % (12995)Time elapsed: 0.179 s
% 30.59/4.81  % (12995)Instructions burned: 601 (million)
% 30.96/4.85  % (12926)Running in auto input_syntax mode. Trying TPTP
% 30.96/4.85  % (12999)dis+1011_5:1_sil=2000:tgt=full:plsqc=1:plsq=on:plsqr=133465761,1048576:spb=non_intro:i=630:nm=2:ins=1:ss=axioms:rawr=on:alpa=true:kws=precedence:fsr=off_0 on theBenchmark for (2956ds/630Mi)
% 30.96/4.88  % (12997)Instruction limit reached!
% 30.96/4.88  % (12997)------------------------------
% 30.96/4.88  % (12997)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.96/4.88  % (12997)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.96/4.88  % (12997)Termination reason: Time limit
% 30.96/4.88  % (12997)Termination phase: Saturation
% 30.96/4.88  
% 30.96/4.88  % (12997)Memory used [KB]: 5409
% 30.96/4.88  % (12997)Time elapsed: 0.186 s
% 30.96/4.88  % (12997)Instructions burned: 620 (million)
% 31.45/4.91  % (12926)Running in auto input_syntax mode. Trying TPTP
% 31.45/4.91  % (13000)dis-1011_113:472_sil=256000:nwc=10.0:i=1693:kws=precedence:awrs=decay:bd=off:ss=axioms:rawr=on:plsq=on:plsqr=73,255:amm=sco:ins=1:fsr=off:erd=off:sp=occurrence:fde=unused:lsd=60_0 on theBenchmark for (2955ds/1693Mi)
% 32.27/5.05  % (12999)Instruction limit reached!
% 32.27/5.05  % (12999)------------------------------
% 32.27/5.05  % (12999)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.27/5.05  % (12999)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.27/5.05  % (12999)Termination reason: Time limit
% 32.27/5.05  % (12999)Termination phase: Saturation
% 32.27/5.05  
% 32.27/5.05  % (12999)Memory used [KB]: 6405
% 32.27/5.05  % (12999)Time elapsed: 0.224 s
% 32.27/5.05  % (12999)Instructions burned: 632 (million)
% 32.94/5.08  % (12926)Running in auto input_syntax mode. Trying TPTP
% 32.94/5.08  % (13001)lrs+1002_1:7_drc=encompass:sil=64000:sos=on:urr=full:i=643:sd=2:ss=axioms:sgt=100_0 on theBenchmark for (2953ds/643Mi)
% 33.77/5.26  % (13001)Instruction limit reached!
% 33.77/5.26  % (13001)------------------------------
% 33.77/5.26  % (13001)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.77/5.26  % (13001)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.77/5.26  % (13001)Termination reason: Time limit
% 33.77/5.26  % (13001)Termination phase: Saturation
% 33.77/5.26  
% 33.77/5.26  % (13001)Memory used [KB]: 7332
% 33.77/5.26  % (13001)Time elapsed: 0.182 s
% 33.77/5.26  % (13001)Instructions burned: 643 (million)
% 33.77/5.27  % (12998)Instruction limit reached!
% 33.77/5.27  % (12998)------------------------------
% 33.77/5.27  % (12998)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.77/5.27  % (12998)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.77/5.27  % (12998)Termination reason: Time limit
% 33.77/5.27  % (12998)Termination phase: Saturation
% 33.77/5.27  
% 33.77/5.27  % (12998)Memory used [KB]: 13748
% 33.77/5.27  % (12998)Time elapsed: 0.550 s
% 33.77/5.27  % (12998)Instructions burned: 2203 (million)
% 34.40/5.29  % (12926)Running in auto input_syntax mode. Trying TPTP
% 34.40/5.29  % (13002)lrs+1011_1:16_sil=2000:plsq=on:plsqr=1,15:urr=on:slsqc=1:slsq=on:st=6.0:i=1250:sd=3:fsr=off:ss=included:rawr=on:sup=off:bd=off_0 on theBenchmark for (2951ds/1250Mi)
% 34.40/5.30  % (12926)Running in auto input_syntax mode. Trying TPTP
% 34.40/5.30  % (13003)lrs+1011_1:1_sil=16000:sos=on:i=1322:sd=2:ss=axioms:sgt=16_0 on theBenchmark for (2951ds/1322Mi)
% 35.12/5.44  % (13000)Instruction limit reached!
% 35.12/5.44  % (13000)------------------------------
% 35.12/5.44  % (13000)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 35.12/5.44  % (13000)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 35.12/5.44  % (13000)Termination reason: Time limit
% 35.12/5.44  % (13000)Termination phase: Saturation
% 35.12/5.44  
% 35.12/5.44  % (13000)Memory used [KB]: 12344
% 35.12/5.44  % (13000)Time elapsed: 0.554 s
% 35.12/5.44  % (13000)Instructions burned: 1696 (million)
% 35.12/5.47  % (12926)Running in auto input_syntax mode. Trying TPTP
% 35.12/5.47  % (13004)lrs+11_1:1_drc=off:sil=4000:fde=unused:sp=unary_frequency:sos=on:fs=off:nwc=17.7715:flr=on:avsq=on:i=736:kws=precedence:avsqr=18,127:bd=off:nm=16:fsr=off:uhcvi=on:rawr=on:s2pl=no:s2agt=8:ss=axioms:sd=1:st=3.5:aac=none:afp=50:afq=2.0_0 on theBenchmark for (2949ds/736Mi)
% 36.60/5.62  % (13002)Instruction limit reached!
% 36.60/5.62  % (13002)------------------------------
% 36.60/5.62  % (13002)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 36.60/5.62  % (13002)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 36.60/5.62  % (13002)Termination reason: Time limit
% 36.60/5.62  % (13002)Termination phase: Saturation
% 36.60/5.62  
% 36.60/5.62  % (13002)Memory used [KB]: 16585
% 36.60/5.62  % (13002)Time elapsed: 0.325 s
% 36.60/5.62  % (13002)Instructions burned: 1250 (million)
% 36.60/5.65  % (12926)Running in auto input_syntax mode. Trying TPTP
% 36.60/5.65  % (13005)lrs-1011_1:8_sil=2000:nwc=5.0:flr=on:i=737:nm=2:sup=off:fde=unused:fsr=off:bd=off_0 on theBenchmark for (2947ds/737Mi)
% 36.60/5.68  % (13004)Instruction limit reached!
% 36.60/5.68  % (13004)------------------------------
% 36.60/5.68  % (13004)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 36.60/5.68  % (13004)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 36.60/5.68  % (13004)Termination reason: Time limit
% 36.60/5.68  % (13004)Termination phase: Saturation
% 36.60/5.68  
% 36.60/5.68  % (13004)Memory used [KB]: 8286
% 36.60/5.68  % (13004)Time elapsed: 0.207 s
% 36.60/5.68  % (13004)Instructions burned: 737 (million)
% 37.31/5.71  % (13003)Instruction limit reached!
% 37.31/5.71  % (13003)------------------------------
% 37.31/5.71  % (13003)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 37.31/5.71  % (13003)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 37.31/5.71  % (13003)Termination reason: Time limit
% 37.31/5.71  % (13003)Termination phase: Saturation
% 37.31/5.71  
% 37.31/5.71  % (13003)Memory used [KB]: 7938
% 37.31/5.71  % (13003)Time elapsed: 0.413 s
% 37.31/5.71  % (13003)Instructions burned: 1322 (million)
% 37.31/5.71  % (12926)Running in auto input_syntax mode. Trying TPTP
% 37.31/5.71  % (13006)lrs+21_1:1_sil=4000:sos=on:flr=on:i=1407:sd=1:bd=off:nm=2:ss=included:sup=off:fs=off:fsr=off_0 on theBenchmark for (2947ds/1407Mi)
% 37.31/5.74  % (12926)Running in auto input_syntax mode. Trying TPTP
% 37.31/5.74  % (13007)lrs+21_1:64_drc=encompass:sil=32000:bsd=on:lma=on:spb=goal:nwc=10.0:i=779:add=large:ss=axioms:sgt=16:irw=on_0 on theBenchmark for (2946ds/779Mi)
% 37.71/5.86  % (13005)Instruction limit reached!
% 37.71/5.86  % (13005)------------------------------
% 37.71/5.86  % (13005)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 37.71/5.86  % (13005)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 37.71/5.86  % (13005)Termination reason: Time limit
% 37.71/5.86  % (13005)Termination phase: Saturation
% 37.71/5.86  
% 37.71/5.86  % (13005)Memory used [KB]: 7550
% 37.71/5.86  % (13005)Time elapsed: 0.216 s
% 37.71/5.86  % (13005)Instructions burned: 739 (million)
% 38.31/5.90  % (12926)Running in auto input_syntax mode. Trying TPTP
% 38.31/5.90  % (13008)lrs-1011_35909:1048576_drc=encompass:sil=2000:tgt=ground:sp=weighted_frequency:spb=goal:fd=preordered:nwc=0.953927:flr=on:s2a=on:i=779:s2at=3:kws=precedence:awrs=decay:awrsf=875:bd=off:nm=3:ins=14:uhcvi=on:rawr=on:s2pl=no:lwlo=on:av=off:fsr=off_0 on theBenchmark for (2945ds/779Mi)
% 38.64/5.99  % (13007)Instruction limit reached!
% 38.64/5.99  % (13007)------------------------------
% 38.64/5.99  % (13007)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 38.64/5.99  % (13007)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 38.64/5.99  % (13007)Termination reason: Time limit
% 38.64/5.99  % (13007)Termination phase: Saturation
% 38.64/5.99  
% 38.64/5.99  % (13007)Memory used [KB]: 5398
% 38.64/5.99  % (13007)Time elapsed: 0.246 s
% 38.64/5.99  % (13007)Instructions burned: 781 (million)
% 39.03/6.02  % (12926)Running in auto input_syntax mode. Trying TPTP
% 39.03/6.02  % (13009)lrs+32_1:1_to=lpo:sil=8000:sp=const_frequency:sos=on:fs=off:fd=off:i=1461:sd=1:bd=off:nm=2:fsr=off:ss=included_0 on theBenchmark for (2944ds/1461Mi)
% 39.03/6.05  % (13006)First to succeed.
% 39.03/6.07  % (13006)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12926"
% 39.03/6.07  % (12926)Running in auto input_syntax mode. Trying TPTP
% 39.03/6.07  % (13006)Refutation found. Thanks to Tanya!
% 39.03/6.07  % SZS status Theorem for theBenchmark
% 39.03/6.07  % SZS output start Proof for theBenchmark
% See solution above
% 39.03/6.07  % (13006)------------------------------
% 39.03/6.07  % (13006)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 39.03/6.07  % (13006)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 39.03/6.07  % (13006)Termination reason: Refutation
% 39.03/6.07  
% 39.03/6.07  % (13006)Memory used [KB]: 19636
% 39.03/6.07  % (13006)Time elapsed: 0.354 s
% 39.03/6.07  % (13006)Instructions burned: 1275 (million)
% 39.03/6.07  % (13006)------------------------------
% 39.03/6.07  % (13006)------------------------------
% 39.03/6.07  % (12926)Success in time 5.662 s
%------------------------------------------------------------------------------