iProver---3.9.4.THM-CRf.s

%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM859+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:26:56 PM UTC 2026

% Result   : Theorem 35.50s 7.42s
% Output   : CNFRefutation 46.62s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : lesseq(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( lesseq(X1,X2)
        & lesseq(X0,X1) )
     => lesseq(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( lesseq(X1,X0)
        & lesseq(X0,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( lesseq(X1,X0)
      | lesseq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | max(X0,X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ lesseq(X0,X1)
      | max(X0,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ub(X0,X1,X2)
    <=> ( lesseq(X1,X2)
        & lesseq(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( model_max(X0,X1,X2)
    <=> lesseq(max(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_2) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( model_ub(X0,X1,X2)
    <=> ? [X3] :
          ( lesseq(X3,X2)
          & ub(X0,X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_2) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( minsol_model_max(X0,X1,X2)
    <=> ( ! [X3] :
            ( model_max(X0,X1,X3)
           => lesseq(X2,X3) )
        & model_max(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> ( ! [X3] :
            ( model_ub(X0,X1,X3)
           => lesseq(X2,X3) )
        & model_ub(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).

fof(f14,conjecture,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> minsol_model_max(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( minsol_model_ub(X0,X1,X2)
      <=> minsol_model_max(X0,X1,X2) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <~> minsol_model_max(X0,X1,X2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( minsol_model_max(X0,X1,X2)
    <=> ( ! [X3] :
            ( ~ model_max(X0,X1,X3)
            | lesseq(X2,X3) )
        & model_max(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( minsol_model_ub(X0,X1,X2)
    <=> ( ! [X3] :
            ( ~ model_ub(X0,X1,X3)
            | lesseq(X2,X3) )
        & model_ub(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1)
      | lesseq(X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1)
      | lesseq(X0,X2) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f3]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1)
      | X0 = X1 ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( ( minsol_model_ub(X0,X1,X2)
        | minsol_model_max(X0,X1,X2) )
      & ( ~ minsol_model_ub(X0,X1,X2)
        | ~ minsol_model_max(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f24,plain,
    ( ( minsol_model_ub(sK0,sK1,sK2)
      | minsol_model_max(sK0,sK1,sK2) )
    & ( ~ minsol_model_ub(sK0,sK1,sK2)
      | ~ minsol_model_max(sK0,sK1,sK2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f23]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_max(X0,X1,X2)
        | ( ! [X3] :
              ( ~ model_max(X0,X1,X3)
              | lesseq(X2,X3) )
          & model_max(X0,X1,X2) ) )
      & ( ? [X3] :
            ( model_max(X0,X1,X3)
            & ~ lesseq(X2,X3) )
        | ~ model_max(X0,X1,X2)
        | minsol_model_max(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_max(X0,X1,X2)
        | ( ! [X3] :
              ( ~ model_max(X0,X1,X3)
              | lesseq(X2,X3) )
          & model_max(X0,X1,X2) ) )
      & ( ? [X3] :
            ( model_max(X0,X1,X3)
            & ~ lesseq(X2,X3) )
        | ~ model_max(X0,X1,X2)
        | minsol_model_max(X0,X1,X2) ) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_max(X0,X1,X2)
        | ( ! [X4] :
              ( ~ model_max(X0,X1,X4)
              | lesseq(X2,X4) )
          & model_max(X0,X1,X2) ) )
      & ( ? [X3] :
            ( model_max(X0,X1,X3)
            & ~ lesseq(X2,X3) )
        | ~ model_max(X0,X1,X2)
        | minsol_model_max(X0,X1,X2) ) ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_max(X0,X1,X2)
        | ( ! [X4] :
              ( ~ model_max(X0,X1,X4)
              | lesseq(X2,X4) )
          & model_max(X0,X1,X2) ) )
      & ( ( model_max(X0,X1,sK3(X0,X1,X2))
          & ~ lesseq(X2,sK3(X0,X1,X2)) )
        | ~ model_max(X0,X1,X2)
        | minsol_model_max(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f27]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_ub(X0,X1,X2)
        | ( ! [X3] :
              ( ~ model_ub(X0,X1,X3)
              | lesseq(X2,X3) )
          & model_ub(X0,X1,X2) ) )
      & ( ? [X3] :
            ( model_ub(X0,X1,X3)
            & ~ lesseq(X2,X3) )
        | ~ model_ub(X0,X1,X2)
        | minsol_model_ub(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_ub(X0,X1,X2)
        | ( ! [X3] :
              ( ~ model_ub(X0,X1,X3)
              | lesseq(X2,X3) )
          & model_ub(X0,X1,X2) ) )
      & ( ? [X3] :
            ( model_ub(X0,X1,X3)
            & ~ lesseq(X2,X3) )
        | ~ model_ub(X0,X1,X2)
        | minsol_model_ub(X0,X1,X2) ) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_ub(X0,X1,X2)
        | ( ! [X4] :
              ( ~ model_ub(X0,X1,X4)
              | lesseq(X2,X4) )
          & model_ub(X0,X1,X2) ) )
      & ( ? [X3] :
            ( model_ub(X0,X1,X3)
            & ~ lesseq(X2,X3) )
        | ~ model_ub(X0,X1,X2)
        | minsol_model_ub(X0,X1,X2) ) ),
    inference(rectify,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( ~ minsol_model_ub(X0,X1,X2)
        | ( ! [X4] :
              ( ~ model_ub(X0,X1,X4)
              | lesseq(X2,X4) )
          & model_ub(X0,X1,X2) ) )
      & ( ( model_ub(X0,X1,sK4(X0,X1,X2))
          & ~ lesseq(X2,sK4(X0,X1,X2)) )
        | ~ model_ub(X0,X1,X2)
        | minsol_model_ub(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( ~ model_max(X0,X1,X2)
        | lesseq(max(X0,X1),X2) )
      & ( ~ lesseq(max(X0,X1),X2)
        | model_max(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( ~ model_ub(X0,X1,X2)
        | ? [X3] :
            ( lesseq(X3,X2)
            & ub(X0,X1,X3) ) )
      & ( ! [X3] :
            ( ~ lesseq(X3,X2)
            | ~ ub(X0,X1,X3) )
        | model_ub(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( ~ model_ub(X0,X1,X2)
        | ? [X4] :
            ( lesseq(X4,X2)
            & ub(X0,X1,X4) ) )
      & ( ! [X3] :
            ( ~ lesseq(X3,X2)
            | ~ ub(X0,X1,X3) )
        | model_ub(X0,X1,X2) ) ),
    inference(rectify,[],[f34]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( ~ model_ub(X0,X1,X2)
        | ( lesseq(sK5(X0,X1,X2),X2)
          & ub(X0,X1,sK5(X0,X1,X2)) ) )
      & ( ! [X3] :
            ( ~ lesseq(X3,X2)
            | ~ ub(X0,X1,X3) )
        | model_ub(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X1,X2))],[f35]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( ~ ub(X0,X1,X2)
        | ( lesseq(X1,X2)
          & lesseq(X0,X2) ) )
      & ( ~ lesseq(X1,X2)
        | ~ lesseq(X0,X2)
        | ub(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ( ~ ub(X0,X1,X2)
        | ( lesseq(X1,X2)
          & lesseq(X0,X2) ) )
      & ( ~ lesseq(X1,X2)
        | ~ lesseq(X0,X2)
        | ub(X0,X1,X2) ) ),
    inference(flattening,[],[f37]) ).

fof(f39,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | minsol_model_max(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f40,plain,
    ( ~ minsol_model_ub(sK0,sK1,sK2)
    | ~ minsol_model_max(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f41,plain,
    ! [X2,X0,X1,X4] :
      ( ~ minsol_model_max(X0,X1,X2)
      | ~ model_max(X0,X1,X4)
      | lesseq(X2,X4) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ minsol_model_max(X0,X1,X2)
      | model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( model_max(X0,X1,sK3(X0,X1,X2))
      | ~ model_max(X0,X1,X2)
      | minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X2,sK3(X0,X1,X2))
      | ~ model_max(X0,X1,X2)
      | minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f45,plain,
    ! [X2,X0,X1,X4] :
      ( ~ minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X4)
      | lesseq(X2,X4) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ minsol_model_ub(X0,X1,X2)
      | model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( model_ub(X0,X1,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X2,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( lesseq(X1,X0)
      | lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1)
      | lesseq(X0,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f51,plain,
    ! [X0] : lesseq(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ model_max(X0,X1,X2)
      | lesseq(max(X0,X1),X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(max(X0,X1),X2)
      | model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ model_ub(X0,X1,X2)
      | lesseq(sK5(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ model_ub(X0,X1,X2)
      | ub(X0,X1,sK5(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f56,plain,
    ! [X2,X3,X0,X1] :
      ( ~ lesseq(X3,X2)
      | ~ ub(X0,X1,X3)
      | model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ lesseq(X0,X1)
      | max(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | max(X0,X1) = X0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X0,X1,X2)
      | lesseq(X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ ub(X0,X1,X2)
      | lesseq(X0,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( ~ lesseq(X1,X2)
      | ~ lesseq(X0,X2)
      | ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_49,negated_conjecture,
    ( ~ minsol_model_ub(sK0,sK1,sK2)
    | ~ minsol_model_max(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_50,negated_conjecture,
    ( minsol_model_ub(sK0,sK1,sK2)
    | minsol_model_max(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_max(X1,X2,X0)
      | ~ model_max(X1,X2,X0)
      | ~ lesseq(X0,sK3(X1,X2,X0)) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_max(X0,X1,X2)
      | model_max(X0,X1,sK3(X0,X1,X2))
      | ~ model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | ~ minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | ~ model_max(X0,X1,X3)
      | ~ minsol_model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X1,X2,X0)
      | ~ model_ub(X1,X2,X0)
      | ~ lesseq(X0,sK4(X1,X2,X0)) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | model_ub(X0,X1,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_ub(X0,X1,X2)
      | ~ minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | ~ model_ub(X0,X1,X3)
      | ~ minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_61,plain,
    ! [X0: $i] : lesseq(X0,X0),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,X1),X2)
      | ~ model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_ub(X0,X1,X3)
      | ~ lesseq(X2,X3)
      | ~ ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ub(X0,X1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK5(X0,X1,X2),X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ub(X0,X2,X1)
      | ~ lesseq(X2,X1)
      | ~ lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ~ ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ~ ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ lesseq(X1,X0)
      | ~ lesseq(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_73,plain,
    lesseq(sK0,sK0),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_80,plain,
    ( ( sK0 = sK0 )
    | ~ lesseq(sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

tcf(c_81,plain,
    ( ub(sK0,sK0,sK0)
    | ~ lesseq(sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_69]) ).

tcf(c_83,plain,
    ( model_ub(sK0,sK0,sK0)
    | ~ lesseq(sK0,sK0)
    | ~ ub(sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_85,plain,
    ( minsol_model_ub(sK0,sK0,sK0)
    | ~ model_ub(sK0,sK0,sK0)
    | ~ lesseq(sK0,sK4(sK0,sK0,sK0)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_88,plain,
    ( ~ minsol_model_max(sK0,sK1,sK2)
    | ~ minsol_model_ub(sK0,sK1,sK2) ),
    inference(prop_impl_just,[status(thm)],[c_49]) ).

tcf(c_89,plain,
    ( ~ minsol_model_ub(sK0,sK1,sK2)
    | ~ minsol_model_max(sK0,sK1,sK2) ),
    inference(renaming,[status(thm)],[c_88]) ).

tcf(c_90,plain,
    ( minsol_model_max(sK0,sK1,sK2)
    | minsol_model_ub(sK0,sK1,sK2) ),
    inference(prop_impl_just,[status(thm)],[c_50]) ).

tcf(c_91,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | minsol_model_max(sK0,sK1,sK2) ),
    inference(renaming,[status(thm)],[c_90]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | ~ minsol_model_max(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_53]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_ub(X0,X1,X2)
      | ~ minsol_model_ub(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( lesseq(X5,X6)
      | model_max(X0,X2,sK3(X0,X2,X4))
      | ~ model_max(X1,X3,X6)
      | ~ model_max(X0,X2,X4)
      | ( X4 != X5 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_54]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X0,X1,sK3(X0,X1,X2))
      | ~ model_max(X0,X1,X3)
      | ~ model_max(X0,X1,X2) ),
    inference(unflattening,[status(thm)],[c_471]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | minsol_model_ub(sK0,sK1,sK2)
      | ~ model_max(X0,X1,X3)
      | ( X2 != sK2 )
      | ( X1 != sK1 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_91,c_54]) ).

tcf(c_488,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ~ model_max(sK0,sK1,X0) ),
    inference(unflattening,[status(thm)],[c_487]) ).

tcf(c_499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X1,X2)
      | ( X2 != sK2 )
      | ( X1 != sK1 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_91,c_96]) ).

tcf(c_500,plain,
    ( model_max(sK0,sK1,sK2)
    | minsol_model_ub(sK0,sK1,sK2) ),
    inference(unflattening,[status(thm)],[c_499]) ).

tcf(c_507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK3(X0,X1,X2))
      | ~ minsol_model_ub(sK0,sK1,sK2)
      | ~ model_max(X0,X1,X2)
      | ( X2 != sK2 )
      | ( X1 != sK1 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_89,c_52]) ).

tcf(c_508,plain,
    ( model_max(sK0,sK1,sK3(sK0,sK1,sK2))
    | ~ model_max(sK0,sK1,sK2)
    | ~ minsol_model_ub(sK0,sK1,sK2) ),
    inference(unflattening,[status(thm)],[c_507]) ).

tcf(c_518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ minsol_model_ub(sK0,sK1,sK2)
      | ~ model_max(X0,X1,X2)
      | ~ lesseq(X2,sK3(X0,X1,X2))
      | ( X2 != sK2 )
      | ( X1 != sK1 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_89,c_51]) ).

tcf(c_519,plain,
    ( ~ model_max(sK0,sK1,sK2)
    | ~ minsol_model_ub(sK0,sK1,sK2)
    | ~ lesseq(sK2,sK3(sK0,sK1,sK2)) ),
    inference(unflattening,[status(thm)],[c_518]) ).

tcf(c_529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( lesseq(X4,X6)
      | ~ model_max(X1,X3,X5)
      | ~ model_max(X0,X2,X6)
      | ~ lesseq(X5,sK3(X1,X3,X5))
      | ( X4 != X5 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_51]) ).

tcf(c_530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | ~ model_max(X1,X2,X3)
      | ~ model_max(X1,X2,X0)
      | ~ lesseq(X0,sK3(X1,X2,X0)) ),
    inference(unflattening,[status(thm)],[c_529]) ).

tcf(c_598,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,sK2)
      | model_ub(X0,X1,X2)
      | ( X2 != sK2 )
      | ( X1 != sK1 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_500,c_100]) ).

tcf(c_599,plain,
    ( model_ub(sK0,sK1,sK2)
    | model_max(sK0,sK1,sK2) ),
    inference(unflattening,[status(thm)],[c_598]) ).

tcf(c_741,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_744,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( minsol_model_ub(X0,X2,X4)
      | ~ minsol_model_ub(X1,X3,X5)
      | ( X4 != X5 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( model_max(X0,X2,X4)
      | ~ model_max(X1,X3,X5)
      | ( X4 != X5 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_747,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X2)
      | ~ lesseq(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_749,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ub(X2,X3,X0)
      | ~ ub(X2,X3,X1)
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_1340,plain,
    ( model_ub(sK0,sK1,sK2)
    | model_max(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_500,c_57]) ).

tcf(c_1351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_59,c_62]) ).

tcf(c_1353,plain,
    ! [X0: $i,X1: $i] : model_max(X0,X1,max(X0,X1)),
    inference(superposition,[status(thm)],[c_61,c_62]) ).

tcf(c_1373,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_59,c_67]) ).

tcf(c_1375,plain,
    ! [X0: $i] : max(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_61,c_67]) ).

tcf(c_1376,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(max(X0,X1),X2) = X2 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_67]) ).

tcf(c_1382,plain,
    ( ( max(max(sK0,sK0),sK0) = sK0 )
    | ~ model_max(sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_1376]) ).

tcf(c_1387,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_59,c_68]) ).

tcf(c_1390,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,max(X0,X1)) = X2 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_68]) ).

tcf(c_1395,plain,
    ( ( max(sK0,max(sK0,sK0)) = sK0 )
    | ~ model_max(sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_1390]) ).

tcf(c_1402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_59,c_60]) ).

tcf(c_1405,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(max(X0,X1),X3)
      | ~ lesseq(X2,X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_60]) ).

tcf(c_1412,plain,
    ! [X0: $i] : model_max(X0,X0,X0),
    inference(superposition,[status(thm)],[c_1375,c_1353]) ).

tcf(c_1413,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ~ model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_63]) ).

tcf(c_1414,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_62]) ).

tcf(c_1419,plain,
    model_max(sK0,sK0,sK0),
    inference(instantiation,[status(thm)],[c_1412]) ).

tcf(c_1424,plain,
    ! [X0: $i] : lesseq(X0,max(X0,X0)),
    inference(superposition,[status(thm)],[c_1353,c_1413]) ).

tcf(c_1436,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_1351]) ).

tcf(c_1437,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X1,X3)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1351,c_60]) ).

tcf(c_1438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1351,c_68]) ).

tcf(c_1439,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1351,c_67]) ).

tcf(c_1440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1351,c_62]) ).

tcf(c_1461,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1373,c_60]) ).

tcf(c_1462,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1373,c_68]) ).

tcf(c_1463,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1373,c_67]) ).

tcf(c_1476,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1387,c_60]) ).

tcf(c_1477,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_68]) ).

tcf(c_1491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_1402]) ).

tcf(c_1493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1373,c_1402]) ).

tcf(c_1494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_59,c_1402]) ).

tcf(c_1496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_1402]) ).

tcf(c_1497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1351,c_1402]) ).

tcf(c_1529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1494,c_1402]) ).

tcf(c_1530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1494,c_60]) ).

tcf(c_1552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_1402]) ).

tcf(c_1553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK5(X0,X1,X2),X3)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_60]) ).

tcf(c_1554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,sK5(X0,X1,X2)) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_68]) ).

tcf(c_1555,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(sK5(X0,X1,X2),X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_67]) ).

tcf(c_1571,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ~ model_ub(sK0,sK1,sK2)
    | ~ lesseq(sK2,sK4(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_1579,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1353]) ).

tcf(c_1580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X0,X1) = X0 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1462,c_63]) ).

tcf(c_1581,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X0,X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_62]) ).

tcf(c_1582,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1351]) ).

tcf(c_1584,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1353]) ).

tcf(c_1585,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1462,c_63]) ).

tcf(c_1586,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X2,X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_62]) ).

tcf(c_1587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1351]) ).

tcf(c_1588,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( X0 != X1 ) ),
    inference(equality_factoring,[status(thm)],[c_1462]) ).

tcf(c_1589,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X0 )
      | ( X0 != X1 ) ),
    inference(equality_factoring,[status(thm)],[c_1462]) ).

tcf(c_1616,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | model_ub(sK0,sK1,sK4(sK0,sK1,sK2))
    | ~ model_ub(sK0,sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_1619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK1,X0)
      | ~ model_max(X2,X3,X1)
      | ( sK1 != X3 )
      | ( sK0 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_745]) ).

tcf(c_1621,plain,
    ( model_ub(sK0,sK1,sK2)
    | ~ minsol_model_ub(sK0,sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_1622,plain,
    ! [X0: $i] :
      ( model_ub(sK0,sK1,sK2)
      | ~ lesseq(X0,sK2)
      | ~ ub(sK0,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_1623,plain,
    ( model_ub(sK0,sK1,sK2)
    | ~ lesseq(sK0,sK2)
    | ~ ub(sK0,sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_1622]) ).

tcf(c_1635,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X2)
      | ( X1 != X2 )
      | ( max(sK0,sK1) != X0 ) ),
    inference(instantiation,[status(thm)],[c_747]) ).

tcf(c_1636,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_1639,plain,
    ( lesseq(max(sK0,sK1),sK0)
    | ~ lesseq(sK0,sK0)
    | ( sK0 != sK0 )
    | ( max(sK0,sK1) != sK0 ) ),
    inference(instantiation,[status(thm)],[c_1635]) ).

tcf(c_1644,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),X0)
      | ~ model_max(sK0,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_1652,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_65,c_71]) ).

tcf(c_1653,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_65,c_70]) ).

tcf(c_1679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X1,X2) = X0 )
      | ~ model_max(X1,X2,X0)
      | ~ lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_63,c_72]) ).

tcf(c_1680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK5(X1,X2,X0) = X0 )
      | ~ model_ub(X1,X2,X0)
      | ~ lesseq(X0,sK5(X1,X2,X0)) ),
    inference(superposition,[status(thm)],[c_66,c_72]) ).

tcf(c_1681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1351,c_72]) ).

tcf(c_1682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1494,c_72]) ).

tcf(c_1703,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK2)
      | ~ model_ub(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_500,c_58]) ).

tcf(c_1731,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK5(X0,X1,X2) = X1 )
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_72]) ).

tcf(c_1732,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_1402]) ).

tcf(c_1733,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1652,c_60]) ).

tcf(c_1734,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(sK5(X0,X1,X2),X1) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_68]) ).

tcf(c_1735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_67]) ).

tcf(c_1736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X1,X2,sK5(X0,max(X1,X2),X3))
      | ~ model_ub(X0,max(X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1652,c_62]) ).

tcf(c_1760,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK5(X0,X1,X2) = X0 )
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X0) ),
    inference(superposition,[status(thm)],[c_1653,c_72]) ).

tcf(c_1761,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_1402]) ).

tcf(c_1762,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1653,c_60]) ).

tcf(c_1763,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(sK5(X0,X1,X2),X0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_68]) ).

tcf(c_1764,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_67]) ).

tcf(c_1765,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X1,sK5(max(X0,X1),X2,X3))
      | ~ model_ub(max(X0,X1),X2,X3) ),
    inference(superposition,[status(thm)],[c_1653,c_62]) ).

tcf(c_1784,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK3(sK0,sK1,sK2))
      | ~ minsol_model_ub(X0,X1,sK2)
      | ~ model_ub(X0,X1,sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_1789,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK3(sK0,sK1,sK2))
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_1804,plain,
    ( lesseq(sK2,sK2)
    | model_ub(sK0,sK1,sK2)
    | minsol_model_ub(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_1340,c_488]) ).

tcf(c_1805,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | lesseq(sK2,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1353,c_488]) ).

tcf(c_1806,plain,
    ( lesseq(sK2,sK1)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_488]) ).

tcf(c_1807,plain,
    ( lesseq(sK2,sK0)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1584,c_488]) ).

tcf(c_1822,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK2 )
    | ~ lesseq(max(sK0,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_1805,c_72]) ).

tcf(c_1823,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1805,c_1402]) ).

tcf(c_1824,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_1805,c_60]) ).

tcf(c_1825,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1805,c_68]) ).

tcf(c_1826,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1805,c_67]) ).

tcf(c_1841,plain,
    ( lesseq(sK2,sK0)
    | minsol_model_ub(sK0,sK1,sK2)
    | ~ lesseq(max(sK0,sK1),sK0) ),
    inference(instantiation,[status(thm)],[c_1824]) ).

tcf(c_1849,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(X0,X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1440]) ).

tcf(c_1850,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(X0,X1,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1440]) ).

tcf(c_1851,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1375,c_1440]) ).

tcf(c_1854,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1440,c_488]) ).

tcf(c_1855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(X2,X2)) ),
    inference(superposition,[status(thm)],[c_1440,c_1413]) ).

tcf(c_1874,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | ~ model_max(X2,sK1,X1)
      | ( sK1 != sK1 )
      | ( sK0 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_1619]) ).

tcf(c_1875,plain,
    sK1 = sK1,
    inference(instantiation,[status(thm)],[c_741]) ).

tcf(c_1876,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK1 = X0 )
      | ( sK1 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_743]) ).

tcf(c_1904,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1851]) ).

tcf(c_1905,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1851]) ).

tcf(c_1906,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_1851]) ).

tcf(c_1955,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_1353]) ).

tcf(c_1956,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X1,X0) = X0 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1463,c_63]) ).

tcf(c_1957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X0,X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1463,c_62]) ).

tcf(c_1958,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_1851]) ).

tcf(c_1959,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_1351]) ).

tcf(c_1960,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(X1,X0,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_1440]) ).

tcf(c_1961,plain,
    ( lesseq(sK2,sK1)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_1805]) ).

tcf(c_2012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_ub(X0,X1,X3)
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_65,c_64]) ).

tcf(c_2013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_ub(X0,X3,X2)
      | ~ lesseq(X3,X1)
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_69,c_64]) ).

tcf(c_2040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | ( max(X2,sK4(X0,X1,X2)) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1387,c_55]) ).

tcf(c_2042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1373,c_55]) ).

tcf(c_2043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_59,c_55]) ).

tcf(c_2045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X2,X3,max(X0,X1))
      | ~ model_ub(X2,X3,max(X0,X1))
      | ~ model_max(X0,X1,sK4(X2,X3,max(X0,X1))) ),
    inference(superposition,[status(thm)],[c_63,c_55]) ).

tcf(c_2046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1494,c_55]) ).

tcf(c_2068,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | ~ minsol_model_ub(X0,X1,sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_2071,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_2072,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_2071]) ).

tcf(c_2073,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | ~ lesseq(X2,X1)
      | ( sK2 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_747]) ).

tcf(c_2074,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2107,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_1353]) ).

tcf(c_2108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1477,c_63]) ).

tcf(c_2109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X2,X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1477,c_62]) ).

tcf(c_2111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_1851]) ).

tcf(c_2112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_1351]) ).

tcf(c_2113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(X1,X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_1440]) ).

tcf(c_2114,plain,
    ( lesseq(sK2,sK0)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_1805]) ).

tcf(c_2156,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,sK2)
      | minsol_model_ub(sK0,sK1,X0)
      | lesseq(sK2,sK4(sK0,sK1,X0))
      | ~ model_ub(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_56,c_1703]) ).

tcf(c_2180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(X3,sK4(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1491,c_55]) ).

tcf(c_2181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( X0 = X1 )
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1491,c_72]) ).

tcf(c_2183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1491,c_60]) ).

tcf(c_2184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X2) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_68]) ).

tcf(c_2185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X2,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_67]) ).

tcf(c_2186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_62]) ).

tcf(c_2187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ( max(X2,X3) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1491,c_55]) ).

tcf(c_2188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( X0 = X1 )
      | ( max(X1,X2) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1491,c_72]) ).

tcf(c_2189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_1402]) ).

tcf(c_2190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X3)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1491,c_60]) ).

tcf(c_2191,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_68]) ).

tcf(c_2192,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_67]) ).

tcf(c_2193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1491,c_62]) ).

tcf(c_2246,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_2247,plain,
    ( lesseq(sK1,sK0)
    | lesseq(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_2246]) ).

tcf(c_2249,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | ~ lesseq(X1,sK1)
      | ~ lesseq(X0,X1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2250,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | ~ ub(X0,X1,sK1) ),
    inference(instantiation,[status(thm)],[c_70]) ).

tcf(c_2289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1493,c_55]) ).

tcf(c_2290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( X0 = X1 )
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1493,c_72]) ).

tcf(c_2292,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1493,c_60]) ).

tcf(c_2293,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X0,X2) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_68]) ).

tcf(c_2294,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X2,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_67]) ).

tcf(c_2295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_62]) ).

tcf(c_2296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ( max(X3,X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1493,c_55]) ).

tcf(c_2297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( X0 = X1 )
      | ( max(X2,X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1493,c_72]) ).

tcf(c_2298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_1402]) ).

tcf(c_2299,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X2)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1493,c_60]) ).

tcf(c_2300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_68]) ).

tcf(c_2301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_67]) ).

tcf(c_2302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1493,c_62]) ).

tcf(c_2360,plain,
    ( lesseq(sK2,sK3(sK0,sK1,sK2))
    | ~ minsol_model_ub(sK0,sK1,sK2)
    | ~ model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_1784]) ).

tcf(c_2407,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1497]) ).

tcf(c_2408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1497]) ).

tcf(c_2409,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_1497]) ).

tcf(c_2410,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_1497]) ).

tcf(c_2411,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_1497]) ).

tcf(c_2412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),max(X3,X4))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1497,c_55]) ).

tcf(c_2413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | lesseq(X0,max(X2,X3))
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1497,c_72]) ).

tcf(c_2415,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | model_max(X2,X3,X4)
      | lesseq(X0,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1497,c_60]) ).

tcf(c_2419,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1497,c_488]) ).

tcf(c_2420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_1497,c_1413]) ).

tcf(c_2421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X1,X3)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1497,c_72]) ).

tcf(c_2422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_1402]) ).

tcf(c_2423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | model_max(X0,X1,X3)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1497,c_60]) ).

tcf(c_2426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X2,X3,X4)
      | lesseq(X4,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1497,c_62]) ).

tcf(c_2482,plain,
    ! [X0: $i] :
      ( ( sK2 = X0 )
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,sK2) ),
    inference(instantiation,[status(thm)],[c_72]) ).

tcf(c_2483,plain,
    ( ( sK2 = sK0 )
    | ~ lesseq(sK2,sK0)
    | ~ lesseq(sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_2482]) ).

tcf(c_2485,plain,
    sK2 = sK2,
    inference(instantiation,[status(thm)],[c_741]) ).

tcf(c_2492,plain,
    ! [X0: $i] :
      ( ( sK1 = X0 )
      | ( sK1 != sK1 )
      | ( X0 != sK1 ) ),
    inference(instantiation,[status(thm)],[c_1876]) ).

tcf(c_2498,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),sK2) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_2500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X0,X2,sK2)
      | ~ model_max(X1,X3,X4)
      | ( sK2 != X4 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_745]) ).

tcf(c_2501,plain,
    ( model_max(sK0,sK0,sK2)
    | ~ model_max(sK0,sK0,sK0)
    | ( sK2 != sK0 )
    | ( sK0 != sK0 ) ),
    inference(instantiation,[status(thm)],[c_2500]) ).

tcf(c_2516,plain,
    ! [X0: $i] :
      ( model_ub(sK0,sK1,sK3(sK0,sK1,sK2))
      | ~ ub(sK0,sK1,X0)
      | ~ lesseq(X0,sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_2526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2411,c_55]) ).

tcf(c_2527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_72]) ).

tcf(c_2529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_60]) ).

tcf(c_2530,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_68]) ).

tcf(c_2531,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_67]) ).

tcf(c_2532,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2411,c_62]) ).

tcf(c_2533,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2411,c_55]) ).

tcf(c_2534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_72]) ).

tcf(c_2535,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_1402]) ).

tcf(c_2536,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_60]) ).

tcf(c_2537,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_68]) ).

tcf(c_2538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_67]) ).

tcf(c_2539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2411,c_62]) ).

tcf(c_2613,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK3(sK0,sK1,sK2))
      | ~ lesseq(X2,X0)
      | ( X1 != X2 )
      | ( sK3(sK0,sK1,sK2) != X0 ) ),
    inference(instantiation,[status(thm)],[c_747]) ).

tcf(c_2614,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK3(sK0,sK1,sK2))
      | ~ lesseq(X1,X0)
      | ~ lesseq(X0,sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2620,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK3(sK0,sK1,sK2))
      | ~ lesseq(sK2,max(X0,X1))
      | ~ lesseq(max(X0,X1),sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_1789]) ).

tcf(c_2678,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X1)
      | lesseq(X0,X3)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_72]) ).

tcf(c_2680,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X4)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_60]) ).

tcf(c_2681,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X1)
      | lesseq(X0,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_68]) ).

tcf(c_2682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_67]) ).

tcf(c_2684,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1529,c_55]) ).

tcf(c_2685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_72]) ).

tcf(c_2686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_1402]) ).

tcf(c_2687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_60]) ).

tcf(c_2762,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1823]) ).

tcf(c_2763,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_1823]) ).

tcf(c_2764,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_1823]) ).

tcf(c_2765,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_1823]) ).

tcf(c_2766,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = X0 )
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_1823,c_72]) ).

tcf(c_2768,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_1823,c_60]) ).

tcf(c_2769,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1823,c_68]) ).

tcf(c_2770,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1823,c_67]) ).

tcf(c_2810,plain,
    ! [X0: $i] :
      ( ( sK3(sK0,sK1,sK2) = X0 )
      | ~ lesseq(X0,sK3(sK0,sK1,sK2))
      | ~ lesseq(sK3(sK0,sK1,sK2),X0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

tcf(c_2850,plain,
    ( model_ub(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1340,c_1376]) ).

tcf(c_2851,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(X3,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_1376]) ).

tcf(c_2852,plain,
    ! [X0: $i,X1: $i] : max(max(X0,X1),max(X0,X1)) = max(X0,X1),
    inference(superposition,[status(thm)],[c_1353,c_1376]) ).

tcf(c_2853,plain,
    ! [X0: $i] : max(max(X0,X0),X0) = X0,
    inference(superposition,[status(thm)],[c_1412,c_1376]) ).

tcf(c_2854,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_1376]) ).

tcf(c_2856,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1436,c_1376]) ).

tcf(c_2857,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(max(X0,X0),X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1414,c_1376]) ).

tcf(c_2858,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,max(X0,X1))
      | ( max(max(X0,X1),max(X2,X3)) = max(X2,X3) ) ),
    inference(superposition,[status(thm)],[c_1440,c_1376]) ).

tcf(c_2860,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1579,c_1376]) ).

tcf(c_2861,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1584,c_1376]) ).

tcf(c_2862,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | ( max(max(X0,X0),max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1851,c_1376]) ).

tcf(c_2863,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1906,c_1376]) ).

tcf(c_2864,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1955,c_1376]) ).

tcf(c_2865,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2107,c_1376]) ).

tcf(c_2868,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_2863,c_1375]) ).

tcf(c_2889,plain,
    ! [X0: $i] :
      ( ( sK1 = max(X0,sK1) )
      | ( sK1 != sK1 )
      | ( max(X0,sK1) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_2492]) ).

tcf(c_2890,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

tcf(c_2891,plain,
    ( ( sK1 = max(sK0,sK1) )
    | ( sK1 != sK1 )
    | ( max(sK0,sK1) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_2889]) ).

tcf(c_2892,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ~ lesseq(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_2890]) ).

tcf(c_2894,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_2896,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ~ lesseq(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_2894]) ).

tcf(c_2907,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2868,c_1376]) ).

tcf(c_2914,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2850,c_1703]) ).

tcf(c_2925,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_2860]) ).

tcf(c_2927,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X1) = X1 )
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_2860]) ).

tcf(c_2928,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X1) = X1 )
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2860,c_2860]) ).

tcf(c_2933,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(max(X0,X1),X1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_1353]) ).

tcf(c_2934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X0,X1) = X0 )
      | ~ model_max(max(X0,X1),X1,X2) ),
    inference(superposition,[status(thm)],[c_2860,c_63]) ).

tcf(c_2935,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(max(X2,X0),X0,X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2860,c_62]) ).

tcf(c_2936,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X1,X0) = X0 )
      | ( max(X0,max(X1,X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_1477]) ).

tcf(c_2937,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_1497]) ).

tcf(c_2938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_1851]) ).

tcf(c_2939,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_1351]) ).

tcf(c_2940,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(max(X0,X1),X1,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_1440]) ).

tcf(c_2970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | ~ lesseq(X2,X1)
      | ( sK1 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_747]) ).

tcf(c_2971,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ~ lesseq(sK1,X0)
      | ~ lesseq(X0,X1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2974,plain,
    ( lesseq(sK1,sK0)
    | ~ lesseq(sK0,sK0)
    | ( sK1 != sK0 )
    | ( sK0 != sK0 ) ),
    inference(instantiation,[status(thm)],[c_2970]) ).

tcf(c_2975,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ~ ub(X0,sK1,X1) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_2985,plain,
    ( model_ub(sK0,sK1,sK2)
    | ( max(sK2,max(sK0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1340,c_1390]) ).

tcf(c_2986,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(X3,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_1390]) ).

tcf(c_2988,plain,
    ! [X0: $i] : max(X0,max(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_1412,c_1390]) ).

tcf(c_2989,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_1390]) ).

tcf(c_2991,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1436,c_1390]) ).

tcf(c_2992,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,max(X0,X0)) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1414,c_1390]) ).

tcf(c_2993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X1,max(X2,X3))
      | ( max(max(X0,X1),max(X2,X3)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1440,c_1390]) ).

tcf(c_2995,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(X1,X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_1390]) ).

tcf(c_2996,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X0,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1584,c_1390]) ).

tcf(c_2997,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | ( max(max(X0,X1),max(X2,X2)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1851,c_1390]) ).

tcf(c_2998,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2868,c_1390]) ).

tcf(c_2999,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1906,c_1390]) ).

tcf(c_3000,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X1,X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1955,c_1390]) ).

tcf(c_3001,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(X0,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2107,c_1390]) ).

tcf(c_3070,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | ~ model_ub(X0,X1,sK2)
      | ~ minsol_model_ub(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_3074,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(X1,X2)
      | ( sK2 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_747]) ).

tcf(c_3075,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(X1,sK2)
      | ~ lesseq(X0,X1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_3081,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK2 = max(X0,X1) )
      | ~ lesseq(sK2,max(X0,X1))
      | ~ lesseq(max(X0,X1),sK2) ),
    inference(instantiation,[status(thm)],[c_2482]) ).

tcf(c_3082,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,X1),sK2)
      | ~ model_max(X0,X1,sK2) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_3084,plain,
    ( lesseq(max(sK0,sK0),sK2)
    | ~ model_max(sK0,sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_3082]) ).

tcf(c_3086,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK5(X0,X1,sK2),sK2)
      | ~ model_ub(X0,X1,sK2) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_3103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X0)
      | lesseq(X3,X5)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1529,c_1437]) ).

tcf(c_3110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1491,c_1437]) ).

tcf(c_3112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2411,c_1437]) ).

tcf(c_3113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1493,c_1437]) ).

tcf(c_3116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X1,X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_1437]) ).

tcf(c_3117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | model_max(X2,X3,X4)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_1437]) ).

tcf(c_3118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X1,X2,X4)
      | lesseq(X4,sK5(X0,max(X1,X2),X3))
      | ~ model_ub(X0,max(X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1652,c_1437]) ).

tcf(c_3119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X0,X1,X4)
      | lesseq(X4,sK5(max(X0,X1),X2,X3))
      | ~ model_ub(max(X0,X1),X2,X3) ),
    inference(superposition,[status(thm)],[c_1653,c_1437]) ).

tcf(c_3120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( model_max(X4,X5,X0)
      | model_max(X1,X2,X3)
      | lesseq(X3,max(X4,X5))
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_1437]) ).

tcf(c_3122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X2,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2411,c_1437]) ).

tcf(c_3123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(X2,X3,X4)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_1437]) ).

tcf(c_3125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1529,c_1437]) ).

tcf(c_3126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | model_max(X2,X3,X5)
      | lesseq(X4,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1497,c_1437]) ).

tcf(c_3127,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X1,X2)
      | lesseq(X2,max(sK0,sK1))
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1823,c_1437]) ).

tcf(c_3130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,X2,X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_1437]) ).

tcf(c_3131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X0,X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_1437]) ).

tcf(c_3132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,X2,X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1477,c_1437]) ).

tcf(c_3133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X0,X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1463,c_1437]) ).

tcf(c_3134,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_1437]) ).

tcf(c_3135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(max(X2,X0),X0,X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2860,c_1437]) ).

tcf(c_3335,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1340,c_3116]) ).

tcf(c_3349,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1906,c_3116]) ).

tcf(c_3363,plain,
    ! [X0: $i,X1: $i] :
      ( ub(X0,sK2,X1)
      | ~ lesseq(sK2,X1)
      | ~ lesseq(X0,X1) ),
    inference(instantiation,[status(thm)],[c_69]) ).

tcf(c_3364,plain,
    ( ub(sK0,sK2,sK0)
    | ~ lesseq(sK2,sK0)
    | ~ lesseq(sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_3363]) ).

tcf(c_3365,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ub(X2,sK2,X0)
      | ~ ub(X2,sK2,X1)
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_749]) ).

tcf(c_3372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X4)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_1461]) ).

tcf(c_3379,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_1461]) ).

tcf(c_3380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_1461]) ).

tcf(c_3381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_1461]) ).

tcf(c_3382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_1461]) ).

tcf(c_3385,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | ( max(max(X0,X1),X3) = X3 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_1461]) ).

tcf(c_3386,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_1461]) ).

tcf(c_3387,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X2)
      | ( max(X2,X3) = X3 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_1461]) ).

tcf(c_3388,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK5(X0,X1,X2))
      | ( max(X1,X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_1461]) ).

tcf(c_3389,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK5(X0,X1,X2))
      | ( max(X0,X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_1461]) ).

tcf(c_3392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_1461]) ).

tcf(c_3393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | ( max(X2,X3) = X3 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_1461]) ).

tcf(c_3395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_1461]) ).

tcf(c_3396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X2)
      | model_max(X3,X4,X0)
      | lesseq(X2,max(X3,X4))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_1461]) ).

tcf(c_3397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X1,max(sK0,sK1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1823,c_1461]) ).

tcf(c_3398,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1805,c_1461]) ).

tcf(c_3516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_3134]) ).

tcf(c_3523,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_3134]) ).

tcf(c_3524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_3134]) ).

tcf(c_3525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_3134]) ).

tcf(c_3526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_3134]) ).

tcf(c_3527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1494,c_3134]) ).

tcf(c_3529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(max(X0,X1),max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_3134]) ).

tcf(c_3530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_3134]) ).

tcf(c_3531,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_3134]) ).

tcf(c_3532,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X1,X1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_3134]) ).

tcf(c_3533,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_3134]) ).

tcf(c_3534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | model_max(X4,X4,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_3134]) ).

tcf(c_3536,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_3134]) ).

tcf(c_3539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_3134]) ).

tcf(c_3540,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_3134]) ).

tcf(c_3541,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1823,c_3134]) ).

tcf(c_3542,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1805,c_3134]) ).

tcf(c_3625,plain,
    ( model_max(sK0,sK1,sK2)
    | ~ lesseq(max(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_2498]) ).

tcf(c_3626,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ~ model_max(sK0,sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_1644]) ).

tcf(c_3632,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ minsol_model_ub(sK0,sK1,sK2)
      | ~ model_ub(sK0,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_2068]) ).

tcf(c_3633,plain,
    ( lesseq(sK2,sK0)
    | ~ model_ub(sK0,sK1,sK0)
    | ~ minsol_model_ub(sK0,sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_3632]) ).

tcf(c_3639,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_ub(X0,X1,sK2)
      | ~ lesseq(X2,sK2)
      | ~ ub(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_3660,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_3335,c_3116]) ).

tcf(c_3661,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3335,c_1390]) ).

tcf(c_3662,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3335,c_1376]) ).

tcf(c_3663,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | minsol_model_ub(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_3335,c_488]) ).

tcf(c_3689,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | ~ lesseq(sK2,X1)
      | ( sK2 != sK2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_2073]) ).

tcf(c_3704,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3349,c_55]) ).

tcf(c_3705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_3134]) ).

tcf(c_3706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X2)
      | model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_1461]) ).

tcf(c_3707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(X0,X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_72]) ).

tcf(c_3709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_60]) ).

tcf(c_3710,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_68]) ).

tcf(c_3711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_67]) ).

tcf(c_3712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X2,X4)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3349,c_1437]) ).

tcf(c_3713,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3349,c_62]) ).

tcf(c_3715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_1390]) ).

tcf(c_3716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_1376]) ).

tcf(c_3719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_1390]) ).

tcf(c_3720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_1376]) ).

tcf(c_3852,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_2933]) ).

tcf(c_3854,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_2933]) ).

tcf(c_3856,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2860,c_2933]) ).

tcf(c_3858,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(max(X1,X0),X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2933,c_1390]) ).

tcf(c_3859,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X0 )
      | ( max(max(max(X0,X1),X1),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2933,c_1376]) ).

tcf(c_3875,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(sK2,max(sK0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2985,c_1703]) ).

tcf(c_3876,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(demodulation,[status(thm)],[c_2999,c_1375]) ).

tcf(c_3884,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3876,c_1390]) ).

tcf(c_3885,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X0 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3876,c_1376]) ).

tcf(c_3896,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X4)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_1476]) ).

tcf(c_3903,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_1476]) ).

tcf(c_3904,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X1)
      | lesseq(X0,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_1476]) ).

tcf(c_3905,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_1476]) ).

tcf(c_3906,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_1476]) ).

tcf(c_3909,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | ( max(X3,max(X0,X1)) = X3 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_1476]) ).

tcf(c_3910,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_1476]) ).

tcf(c_3911,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X3)
      | ( max(X2,X3) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_1476]) ).

tcf(c_3912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,X1) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_1476]) ).

tcf(c_3913,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,X0) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_1476]) ).

tcf(c_3916,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X2)
      | model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_1476]) ).

tcf(c_3918,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X3)
      | ( max(X2,X3) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_1476]) ).

tcf(c_3920,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_1476]) ).

tcf(c_3921,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X2)
      | model_max(X3,X4,X1)
      | lesseq(X2,max(X3,X4))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_1476]) ).

tcf(c_3922,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1823,c_1476]) ).

tcf(c_3923,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_1805,c_1476]) ).

tcf(c_4093,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK1),sK1)
      | ~ lesseq(X0,X1)
      | ( sK1 != X1 )
      | ( max(sK0,sK1) != X0 ) ),
    inference(instantiation,[status(thm)],[c_1635]) ).

tcf(c_4107,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_3335,c_1496]) ).

tcf(c_4108,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_1340,c_1496]) ).

tcf(c_4109,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X2,X4)
      | lesseq(X3,max(X0,X1))
      | lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1497,c_1496]) ).

tcf(c_4110,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X0,X1))
      | lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1353,c_1496]) ).

tcf(c_4111,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_1412,c_1496]) ).

tcf(c_4112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(X0,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3876,c_1496]) ).

tcf(c_4113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_3349,c_1496]) ).

tcf(c_4114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_2411,c_1496]) ).

tcf(c_4116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_1436,c_1496]) ).

tcf(c_4117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(X0,X0),X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1414,c_1496]) ).

tcf(c_4118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,max(X0,X1))
      | lesseq(max(X2,X3),X4)
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1440,c_1496]) ).

tcf(c_4120,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_1496]) ).

tcf(c_4121,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1584,c_1496]) ).

tcf(c_4122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | lesseq(X1,max(X2,X3))
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_1851,c_1496]) ).

tcf(c_4123,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(max(X1,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2868,c_1496]) ).

tcf(c_4124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_1906,c_1496]) ).

tcf(c_4125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1955,c_1496]) ).

tcf(c_4126,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2107,c_1496]) ).

tcf(c_4127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_3349,c_1496]) ).

tcf(c_4128,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(max(X0,X1),X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2933,c_1496]) ).

tcf(c_4197,plain,
    ! [X0: $i] :
      ( ub(sK0,sK1,sK5(sK0,sK1,X0))
      | ~ model_ub(sK0,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_4200,plain,
    ! [X0: $i] :
      ( ub(sK0,sK1,X0)
      | ~ lesseq(sK1,X0)
      | ~ lesseq(sK0,X0) ),
    inference(instantiation,[status(thm)],[c_69]) ).

tcf(c_4201,plain,
    ( ub(sK0,sK1,sK0)
    | ~ lesseq(sK1,sK0)
    | ~ lesseq(sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_4200]) ).

tcf(c_4205,plain,
    ! [X0: $i,X1: $i] :
      ( model_ub(sK0,sK1,X1)
      | ~ lesseq(X0,X1)
      | ~ ub(sK0,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_4206,plain,
    ( model_ub(sK0,sK1,sK0)
    | ~ lesseq(sK0,sK0)
    | ~ ub(sK0,sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_4205]) ).

tcf(c_4217,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_4108]) ).

tcf(c_4218,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_4108]) ).

tcf(c_4219,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_4108]) ).

tcf(c_4220,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_4108]) ).

tcf(c_4221,plain,
    ! [X0: $i,X1: $i] :
      ( model_ub(sK0,sK1,sK2)
      | minsol_model_ub(X0,X1,max(sK0,sK1))
      | lesseq(sK4(X0,X1,max(sK0,sK1)),sK2)
      | ~ model_ub(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_4108,c_55]) ).

tcf(c_4222,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_4108,c_1476]) ).

tcf(c_4223,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | model_max(max(sK0,sK1),max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_4108,c_3134]) ).

tcf(c_4224,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_4108,c_1461]) ).

tcf(c_4225,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = X0 )
      | ~ lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_4108,c_72]) ).

tcf(c_4227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_4108,c_60]) ).

tcf(c_4318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X0)
      | lesseq(X3,X5)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_1530]) ).

tcf(c_4325,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X4)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_1530]) ).

tcf(c_4326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X5)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_1530]) ).

tcf(c_4327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_1530]) ).

tcf(c_4328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_1530]) ).

tcf(c_4329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1494,c_1530]) ).

tcf(c_4331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_1530]) ).

tcf(c_4332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_1530]) ).

tcf(c_4334,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X1,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_1530]) ).

tcf(c_4335,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X0,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_1530]) ).

tcf(c_4338,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_1530]) ).

tcf(c_4342,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_1530]) ).

tcf(c_4344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_4108,c_1530]) ).

tcf(c_4345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1823,c_1530]) ).

tcf(c_4429,plain,
    lesseq(sK1,sK1),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_4502,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(instantiation,[status(thm)],[c_67]) ).

tcf(c_4506,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_4534,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X0 )
      | ( max(X1,max(X0,X1)) = max(X0,X1) )
      | ( max(max(X0,X1),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2860,c_2861]) ).

tcf(c_4535,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X0,X1)) = max(X0,X1) )
      | ( max(max(X0,X1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2861,c_2861]) ).

tcf(c_4538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(max(X0,X2),X0,X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2861,c_1437]) ).

tcf(c_4543,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(max(X0,X1),X0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_1353]) ).

tcf(c_4544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(max(X0,X1),X0,X2) ),
    inference(superposition,[status(thm)],[c_2861,c_63]) ).

tcf(c_4545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(max(X0,X2),X0,X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2861,c_62]) ).

tcf(c_4547,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_1497]) ).

tcf(c_4548,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_1851]) ).

tcf(c_4549,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_1351]) ).

tcf(c_4550,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(max(X0,X1),X0,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_1440]) ).

tcf(c_4607,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ~ lesseq(sK2,sK1)
      | ~ lesseq(X0,sK2) ),
    inference(instantiation,[status(thm)],[c_2249]) ).

tcf(c_4608,plain,
    ( lesseq(sK0,sK1)
    | ~ lesseq(sK2,sK1)
    | ~ lesseq(sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_4607]) ).

tcf(c_4654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1529,c_1824]) ).

tcf(c_4661,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1491,c_1824]) ).

tcf(c_4663,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2411,c_1824]) ).

tcf(c_4664,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1493,c_1824]) ).

tcf(c_4669,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(sK2,sK5(X0,max(sK0,sK1),X1))
      | ~ model_ub(X0,max(sK0,sK1),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_1824]) ).

tcf(c_4670,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(sK2,sK5(max(sK0,sK1),X0,X1))
      | ~ model_ub(max(sK0,sK1),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_1824]) ).

tcf(c_4673,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3349,c_1824]) ).

tcf(c_4678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1497,c_1824]) ).

tcf(c_4683,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_1824]) ).

tcf(c_4684,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_1824]) ).

tcf(c_4685,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_1824]) ).

tcf(c_4686,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_1824]) ).

tcf(c_4760,plain,
    ( ( sK3(sK0,sK1,sK2) = sK3(sK0,sK1,sK2) )
    | ~ lesseq(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_2810]) ).

tcf(c_4761,plain,
    lesseq(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_4772,plain,
    ( lesseq(max(sK0,sK1),sK3(sK0,sK1,sK2))
    | ~ model_max(sK0,sK1,sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_1644]) ).

tcf(c_4809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(X3,sK4(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2530,c_55]) ).

tcf(c_4810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1530]) ).

tcf(c_4811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,X3)
      | ( max(X2,X3) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1476]) ).

tcf(c_4812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_3134]) ).

tcf(c_4813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,X0,X2)
      | ( max(X2,X3) = X3 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1461]) ).

tcf(c_4814,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( X0 = X1 )
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2530,c_72]) ).

tcf(c_4816,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2530,c_60]) ).

tcf(c_4817,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( max(X1,X2) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_68]) ).

tcf(c_4818,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( max(X2,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_67]) ).

tcf(c_4819,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | model_max(X2,X3,X4)
      | model_max(X0,X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1437]) ).

tcf(c_4820,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(X0,X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_62]) ).

tcf(c_4821,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,max(sK0,sK1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1824]) ).

tcf(c_4822,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(max(X0,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1496]) ).

tcf(c_4824,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X2) = X1 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1390]) ).

tcf(c_4825,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X0,X2) = X0 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2530,c_1376]) ).

tcf(c_4961,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK3(sK0,sK1,sK2))
      | ~ lesseq(X0,max(sK0,sK1))
      | ~ lesseq(max(sK0,sK1),sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_2614]) ).

tcf(c_4965,plain,
    ( lesseq(sK0,sK3(sK0,sK1,sK2))
    | ~ lesseq(sK0,max(sK0,sK1))
    | ~ lesseq(max(sK0,sK1),sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_4961]) ).

tcf(c_4984,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2531,c_55]) ).

tcf(c_4985,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1530]) ).

tcf(c_4986,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,X3)
      | ( max(X2,X3) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1476]) ).

tcf(c_4987,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_3134]) ).

tcf(c_4988,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | ( max(X2,X3) = X3 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1461]) ).

tcf(c_4989,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( X0 = X1 )
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2531,c_72]) ).

tcf(c_4991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2531,c_60]) ).

tcf(c_4992,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,X2)
      | ( max(X0,X2) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_68]) ).

tcf(c_4993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,X2)
      | ( max(X2,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_67]) ).

tcf(c_4994,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(X2,X3,X4)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1437]) ).

tcf(c_4995,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_62]) ).

tcf(c_4996,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,max(sK0,sK1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1824]) ).

tcf(c_4997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(max(X1,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1496]) ).

tcf(c_4999,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X2,X1) = X1 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1390]) ).

tcf(c_5000,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X2,X0) = X0 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1376]) ).

tcf(c_5128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_2532]) ).

tcf(c_5129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_2532]) ).

tcf(c_5130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_2532]) ).

tcf(c_5131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_2532]) ).

tcf(c_5133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_2532]) ).

tcf(c_5134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_2532]) ).

tcf(c_5135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X2)
      | model_max(X3,X4,X0)
      | lesseq(X2,max(X3,X4))
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_2532,c_1496]) ).

tcf(c_5137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1390]) ).

tcf(c_5138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | lesseq(X1,max(X2,X3))
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1376]) ).

tcf(c_5140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X2,X4)
      | model_max(X4,X4,X3)
      | lesseq(X3,max(X0,X1))
      | lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_2532,c_1496]) ).

tcf(c_5142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X3)
      | lesseq(X3,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1390]) ).

tcf(c_5143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X2,X3)
      | lesseq(X3,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1376]) ).

tcf(c_5145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | lesseq(X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_1413]) ).

tcf(c_5146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_1530]) ).

tcf(c_5147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X4,X4,X1)
      | model_max(X2,X3,X4)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1476]) ).

tcf(c_5148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X4,X4,X0)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_3134]) ).

tcf(c_5149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X4,X4,X0)
      | model_max(X2,X3,X4)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1461]) ).

tcf(c_5150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | model_max(X0,X1,X3)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_2532,c_72]) ).

tcf(c_5152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | model_max(X3,X3,X4)
      | model_max(X0,X1,X3)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_2532,c_60]) ).

tcf(c_5153,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2532,c_68]) ).

tcf(c_5154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_2532,c_67]) ).

tcf(c_5155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( model_max(X4,X5,X0)
      | model_max(X1,X2,X3)
      | lesseq(X3,max(X4,X5))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_1437]) ).

tcf(c_5156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,X0)
      | model_max(X1,X2,max(X3,X4))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_62]) ).

tcf(c_5157,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X2,X0)
      | lesseq(sK2,max(X1,X2))
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2532,c_1824]) ).

tcf(c_5322,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(max(sK0,sK1),sK2)
      | ~ lesseq(X0,max(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_3075]) ).

tcf(c_5326,plain,
    ( lesseq(sK0,sK2)
    | ~ lesseq(sK0,max(sK0,sK1))
    | ~ lesseq(max(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_5322]) ).

tcf(c_5337,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(sK1,sK2)
      | ~ lesseq(X0,sK1) ),
    inference(instantiation,[status(thm)],[c_3075]) ).

tcf(c_5338,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK2)
      | ~ lesseq(sK1,X0)
      | ~ lesseq(X0,sK2) ),
    inference(instantiation,[status(thm)],[c_2971]) ).

tcf(c_5341,plain,
    ( lesseq(sK0,sK2)
    | ~ lesseq(sK1,sK2)
    | ~ lesseq(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_5337]) ).

tcf(c_5344,plain,
    ( lesseq(sK1,sK2)
    | ~ lesseq(sK1,sK0)
    | ~ lesseq(sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_5338]) ).

tcf(c_5358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(max(max(X0,X1),X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4543,c_1496]) ).

tcf(c_5360,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(max(X0,X1),X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_4543,c_1390]) ).

tcf(c_5361,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(max(max(X0,X1),X0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_4543,c_1376]) ).

tcf(c_5384,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1582,c_1496]) ).

tcf(c_5386,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X2) = X1 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1582,c_1390]) ).

tcf(c_5387,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1582,c_1376]) ).

tcf(c_5454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1587,c_1496]) ).

tcf(c_5456,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,X2) = X2 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1587,c_1390]) ).

tcf(c_5457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1587,c_1376]) ).

tcf(c_5476,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ model_ub(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1806,c_58]) ).

tcf(c_5477,plain,
    ( lesseq(sK2,sK1)
    | model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1806,c_57]) ).

tcf(c_5486,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1807,c_73,c_1807,c_2247,c_2892,c_3633,c_4201,c_4206]) ).

tcf(c_5492,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5486,c_1530]) ).

tcf(c_5493,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_5486,c_1476]) ).

tcf(c_5494,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK2,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5486,c_3134]) ).

tcf(c_5495,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5486,c_1461]) ).

tcf(c_5496,plain,
    ( ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 )
    | ~ lesseq(sK0,sK2) ),
    inference(superposition,[status(thm)],[c_5486,c_72]) ).

tcf(c_5497,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5486,c_1402]) ).

tcf(c_5498,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5486,c_60]) ).

tcf(c_5499,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5486,c_68]) ).

tcf(c_5500,plain,
    ( ( max(sK2,sK0) = sK0 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5486,c_67]) ).

tcf(c_5533,plain,
    ( lesseq(sK5(sK0,sK1,sK2),sK2)
    | ~ model_ub(sK0,sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_3086]) ).

tcf(c_5553,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,sK1) ),
    inference(instantiation,[status(thm)],[c_2074]) ).

tcf(c_5555,plain,
    ( lesseq(sK2,sK1)
    | ~ lesseq(sK2,sK0)
    | ~ lesseq(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_5553]) ).

tcf(c_5600,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_5497,c_55]) ).

tcf(c_5602,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_5497,c_1476]) ).

tcf(c_5603,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_3134]) ).

tcf(c_5604,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5497,c_1461]) ).

tcf(c_5605,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_5497,c_72]) ).

tcf(c_5607,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5497,c_60]) ).

tcf(c_5610,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_1530]) ).

tcf(c_5611,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_5497,c_1476]) ).

tcf(c_5612,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_3134]) ).

tcf(c_5613,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_1461]) ).

tcf(c_5614,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5497,c_72]) ).

tcf(c_5616,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5497,c_60]) ).

tcf(c_5617,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5497,c_68]) ).

tcf(c_5618,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5497,c_67]) ).

tcf(c_5619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_1437]) ).

tcf(c_5620,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_62]) ).

tcf(c_5697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,max(X0,X1))
      | ~ lesseq(sK2,X2)
      | ( sK2 != sK2 )
      | ( max(X0,X1) != X2 ) ),
    inference(instantiation,[status(thm)],[c_3689]) ).

tcf(c_5825,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_4543]) ).

tcf(c_5826,plain,
    ( ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5499,c_2861]) ).

tcf(c_5828,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5499,c_1437]) ).

tcf(c_5833,plain,
    ( model_max(sK0,sK2,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_1353]) ).

tcf(c_5834,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_5499,c_63]) ).

tcf(c_5835,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5499,c_62]) ).

tcf(c_5837,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK0,sK2,X0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_2532]) ).

tcf(c_5838,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_1497]) ).

tcf(c_5839,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_1851]) ).

tcf(c_5840,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_1351]) ).

tcf(c_5841,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK0,sK2,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_1440]) ).

tcf(c_5906,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5833,c_1496]) ).

tcf(c_5908,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,sK2)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5833,c_1390]) ).

tcf(c_5909,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,sK2),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5833,c_1376]) ).

tcf(c_5946,plain,
    ( ( max(sK2,sK0) = sK0 )
    | ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_2861]) ).

tcf(c_5947,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK2,sK0) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_2933]) ).

tcf(c_5948,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5500,c_1437]) ).

tcf(c_5949,plain,
    ( ( max(sK2,sK0) = sK2 )
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5500,c_2860]) ).

tcf(c_5953,plain,
    ( model_max(sK2,sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_1353]) ).

tcf(c_5954,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_5500,c_63]) ).

tcf(c_5955,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5500,c_62]) ).

tcf(c_5957,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_2532]) ).

tcf(c_5958,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_1497]) ).

tcf(c_5959,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_1851]) ).

tcf(c_5960,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_1351]) ).

tcf(c_5961,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK2,sK0,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_1440]) ).

tcf(c_6063,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5953,c_1496]) ).

tcf(c_6065,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK2,sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5953,c_1390]) ).

tcf(c_6066,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK2,sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5953,c_1376]) ).

tcf(c_6122,plain,
    ( lesseq(sK2,sK3(sK0,sK1,sK2))
    | ~ lesseq(sK2,max(sK0,sK1))
    | ~ lesseq(max(sK0,sK1),sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_2620]) ).

tcf(c_6137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1959,c_1496]) ).

tcf(c_6139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X2,X1) = X1 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1959,c_1390]) ).

tcf(c_6140,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1959,c_1376]) ).

tcf(c_6166,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5499,c_5908]) ).

tcf(c_6167,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_5908,c_4543]) ).

tcf(c_6168,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(sK0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_5908,c_2861]) ).

tcf(c_6170,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,max(sK0,sK2),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5908,c_1437]) ).

tcf(c_6175,plain,
    ( model_max(sK0,max(sK0,sK2),sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_1353]) ).

tcf(c_6176,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(sK0,max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_5908,c_63]) ).

tcf(c_6177,plain,
    ! [X0: $i] :
      ( model_max(sK0,max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5908,c_62]) ).

tcf(c_6179,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_2532]) ).

tcf(c_6180,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_1497]) ).

tcf(c_6181,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(sK0,max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_1851]) ).

tcf(c_6182,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_1351]) ).

tcf(c_6183,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK0,max(sK0,sK2),max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_1440]) ).

tcf(c_6231,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ~ ub(X0,sK2,sK1) ),
    inference(instantiation,[status(thm)],[c_2250]) ).

tcf(c_6233,plain,
    ( lesseq(sK0,sK1)
    | ~ ub(sK0,sK2,sK1) ),
    inference(instantiation,[status(thm)],[c_6231]) ).

tcf(c_6248,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),X3)
      | ( max(X2,X3) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2537,c_55]) ).

tcf(c_6249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X0,X3)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_1530]) ).

tcf(c_6250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_1476]) ).

tcf(c_6251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_3134]) ).

tcf(c_6252,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_1461]) ).

tcf(c_6253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( X0 = X1 )
      | ( max(X1,X2) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2537,c_72]) ).

tcf(c_6255,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,X3)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2537,c_60]) ).

tcf(c_6256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_68]) ).

tcf(c_6257,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_67]) ).

tcf(c_6258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | model_max(X4,X4,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2537,c_1437]) ).

tcf(c_6260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_2537,c_1824]) ).

tcf(c_6261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_1496]) ).

tcf(c_6263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_1390]) ).

tcf(c_6264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2537,c_1376]) ).

tcf(c_6370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),X3)
      | ( max(X3,X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2538,c_55]) ).

tcf(c_6371,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_1530]) ).

tcf(c_6372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_1476]) ).

tcf(c_6373,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_3134]) ).

tcf(c_6374,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_1461]) ).

tcf(c_6375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( X0 = X1 )
      | ( max(X2,X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2538,c_72]) ).

tcf(c_6377,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,X0,X2)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2538,c_60]) ).

tcf(c_6378,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_68]) ).

tcf(c_6379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_67]) ).

tcf(c_6380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | model_max(X4,X4,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_2538,c_1437]) ).

tcf(c_6382,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_2538,c_1824]) ).

tcf(c_6383,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_1496]) ).

tcf(c_6385,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_1390]) ).

tcf(c_6386,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_1376]) ).

tcf(c_6542,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ~ model_ub(sK0,sK1,sK2)
      | ~ minsol_model_ub(sK0,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_3070]) ).

tcf(c_6543,plain,
    ( lesseq(sK0,sK2)
    | ~ model_ub(sK0,sK1,sK2)
    | ~ minsol_model_ub(sK0,sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_6542]) ).

tcf(c_6548,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(X1,sK2)
      | ( sK2 != sK2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_3074]) ).

tcf(c_6565,plain,
    ( ( sK2 = max(sK0,sK1) )
    | ~ lesseq(sK2,max(sK0,sK1))
    | ~ lesseq(max(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_3081]) ).

tcf(c_6567,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),sK2)
      | ~ lesseq(X0,sK2)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_1636]) ).

tcf(c_6572,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ~ lesseq(sK0,sK2)
    | ~ lesseq(max(sK0,sK1),sK0) ),
    inference(instantiation,[status(thm)],[c_6567]) ).

tcf(c_6583,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_2539]) ).

tcf(c_6584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_2539]) ).

tcf(c_6585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_2539]) ).

tcf(c_6586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_2539]) ).

tcf(c_6587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_2539]) ).

tcf(c_6588,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_2539]) ).

tcf(c_6589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_2539]) ).

tcf(c_6590,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_2539]) ).

tcf(c_6591,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_2539]) ).

tcf(c_6592,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(sK0,max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_2539]) ).

tcf(c_6593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),max(X3,X4))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2539,c_55]) ).

tcf(c_6594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_1530]) ).

tcf(c_6595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X2)
      | model_max(X3,X4,X1)
      | model_max(X2,X2,max(X3,X4))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_1476]) ).

tcf(c_6596,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_3134]) ).

tcf(c_6597,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X2)
      | model_max(X3,X4,X0)
      | model_max(X2,X2,max(X3,X4))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_1461]) ).

tcf(c_6598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(X0,X0,max(X2,X3))
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2539,c_72]) ).

tcf(c_6600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | model_max(X2,X3,X4)
      | model_max(X0,X0,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2539,c_60]) ).

tcf(c_6603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | model_max(X3,X4,X5)
      | model_max(X1,X2,max(X3,X4))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_1437]) ).

tcf(c_6605,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X2,max(sK0,sK1))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_1824]) ).

tcf(c_6606,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(max(X1,X2),X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_1496]) ).

tcf(c_6608,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_1390]) ).

tcf(c_6609,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_1376]) ).

tcf(c_6611,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_2539,c_1413]) ).

tcf(c_6612,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(X2,X3,X4)
      | lesseq(X1,max(X2,X3))
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_2539,c_1496]) ).

tcf(c_6614,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),max(X2,X2)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2539,c_1390]) ).

tcf(c_6615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | ( max(max(X0,X0),max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_2539,c_1376]) ).

tcf(c_6617,plain,
    ! [X0: $i] :
      ( lesseq(max(X0,X0),X0)
      | model_max(X0,X0,max(X0,X0)) ),
    inference(equality_factoring,[status(thm)],[c_2539]) ).

tcf(c_6619,plain,
    ! [X0: $i] :
      ( lesseq(X0,X0)
      | model_max(X0,X0,X0) ),
    inference(light_normalisation,[status(thm)],[c_6617,c_1375]) ).

tcf(c_6810,plain,
    ! [X0: $i,X1: $i] :
      ( model_ub(X0,X1,sK2)
      | ~ lesseq(sK2,sK2)
      | ~ ub(X0,X1,sK2) ),
    inference(instantiation,[status(thm)],[c_3639]) ).

tcf(c_6811,plain,
    lesseq(sK2,sK2),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_6876,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK1)
    | model_max(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5477,c_1703]) ).

tcf(c_6888,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_6175]) ).

tcf(c_6889,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6175,c_1496]) ).

tcf(c_6891,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,max(sK0,sK2))) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6175,c_1390]) ).

tcf(c_6892,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,max(sK0,sK2)),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6175,c_1376]) ).

tcf(c_6937,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ model_ub(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1961,c_58]) ).

tcf(c_6938,plain,
    ( lesseq(sK2,sK1)
    | model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1961,c_57]) ).

tcf(c_6963,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2112,c_1496]) ).

tcf(c_6965,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | ( max(X2,X1) = X2 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2112,c_1390]) ).

tcf(c_6966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_2112,c_1376]) ).

tcf(c_6979,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_2114,c_73,c_2114,c_2247,c_2896,c_3633,c_4201,c_4206]) ).

tcf(c_6985,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_1530]) ).

tcf(c_6986,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_6979,c_1476]) ).

tcf(c_6987,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_3134]) ).

tcf(c_6988,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6979,c_1461]) ).

tcf(c_6989,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK1 )
    | ~ lesseq(sK0,sK2) ),
    inference(superposition,[status(thm)],[c_6979,c_72]) ).

tcf(c_6990,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_1402]) ).

tcf(c_6991,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6979,c_60]) ).

tcf(c_6992,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6979,c_68]) ).

tcf(c_6993,plain,
    ( ( max(sK2,sK0) = sK0 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_67]) ).

tcf(c_7140,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK0)
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_6990,c_55]) ).

tcf(c_7142,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_1476]) ).

tcf(c_7143,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_3134]) ).

tcf(c_7144,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_1461]) ).

tcf(c_7145,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_6990,c_72]) ).

tcf(c_7147,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_6990,c_60]) ).

tcf(c_7150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_1530]) ).

tcf(c_7151,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_1476]) ).

tcf(c_7152,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_3134]) ).

tcf(c_7153,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_1461]) ).

tcf(c_7154,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6990,c_72]) ).

tcf(c_7156,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6990,c_60]) ).

tcf(c_7157,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_68]) ).

tcf(c_7158,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_67]) ).

tcf(c_7159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_1437]) ).

tcf(c_7160,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_62]) ).

tcf(c_7266,plain,
    ( model_max(sK1,sK1,sK1)
    | ( max(sK1,sK0) = sK0 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_4543]) ).

tcf(c_7267,plain,
    ( ( max(sK1,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_2861]) ).

tcf(c_7269,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_6992,c_1437]) ).

tcf(c_7274,plain,
    ( model_max(sK1,sK0,sK1)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_1353]) ).

tcf(c_7275,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_6992,c_63]) ).

tcf(c_7276,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_6992,c_62]) ).

tcf(c_7278,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_2539]) ).

tcf(c_7279,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK1,sK0,X0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_2532]) ).

tcf(c_7280,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_1497]) ).

tcf(c_7281,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_1851]) ).

tcf(c_7282,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK0,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_1351]) ).

tcf(c_7283,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(sK1,sK0,max(X0,X1))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_1440]) ).

tcf(c_7401,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK3(sK0,sK1,sK2))
      | ~ lesseq(X1,sK3(sK0,sK1,sK2))
      | ( X0 != X1 )
      | ( sK3(sK0,sK1,sK2) != sK3(sK0,sK1,sK2) ) ),
    inference(instantiation,[status(thm)],[c_2613]) ).

tcf(c_7448,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7274,c_1496]) ).

tcf(c_7450,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(sK1,max(sK1,sK0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7274,c_1390]) ).

tcf(c_7451,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(max(sK1,sK0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7274,c_1376]) ).

tcf(c_7469,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK2,sK0) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_2933]) ).

tcf(c_7470,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6993,c_1437]) ).

tcf(c_7471,plain,
    ( ( max(sK2,sK0) = sK2 )
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6993,c_2860]) ).

tcf(c_7475,plain,
    ( model_max(sK2,sK0,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_1353]) ).

tcf(c_7476,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_6993,c_63]) ).

tcf(c_7477,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6993,c_62]) ).

tcf(c_7479,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_2539]) ).

tcf(c_7480,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_2532]) ).

tcf(c_7481,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_1497]) ).

tcf(c_7482,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_1851]) ).

tcf(c_7483,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_1351]) ).

tcf(c_7484,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK2,sK0,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_1440]) ).

tcf(c_7577,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7475,c_1496]) ).

tcf(c_7579,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,max(sK2,sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7475,c_1390]) ).

tcf(c_7580,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(max(sK2,sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7475,c_1376]) ).

tcf(c_7616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2535,c_55]) ).

tcf(c_7617,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_1530]) ).

tcf(c_7618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_1476]) ).

tcf(c_7619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X1,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_3134]) ).

tcf(c_7620,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_1461]) ).

tcf(c_7621,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_72]) ).

tcf(c_7623,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_60]) ).

tcf(c_7626,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X0)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X5)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2535,c_1437]) ).

tcf(c_7628,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2535,c_1824]) ).

tcf(c_7629,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | model_max(X3,X3,X4)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2535,c_55]) ).

tcf(c_7630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X0)
      | lesseq(X3,X5)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_1530]) ).

tcf(c_7631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X1)
      | lesseq(X0,X4)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_1476]) ).

tcf(c_7632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_3134]) ).

tcf(c_7633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X1,X4)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_1461]) ).

tcf(c_7634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_72]) ).

tcf(c_7636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_60]) ).

tcf(c_7639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | model_max(X3,X3,X0)
      | model_max(X1,X2,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2535,c_1437]) ).

tcf(c_7641,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2535,c_1824]) ).

tcf(c_7642,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | model_max(X4,X4,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2535,c_55]) ).

tcf(c_7643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X5)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_1530]) ).

tcf(c_7647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | model_max(X2,X2,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_72]) ).

tcf(c_7649,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X1)
      | lesseq(X0,X4)
      | model_max(X2,X2,X3)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_60]) ).

tcf(c_7654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2535,c_1824]) ).

tcf(c_7655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_2535,c_1496]) ).

tcf(c_7657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_1390]) ).

tcf(c_7658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_1376]) ).

tcf(c_7911,plain,
    ! [X0: $i,X1: $i] :
      ( ub(X1,sK2,sK1)
      | ~ ub(X1,sK2,X0)
      | ( sK1 != X0 ) ),
    inference(instantiation,[status(thm)],[c_3365]) ).

tcf(c_7937,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK1 = X0 )
      | ( sK1 != max(X1,sK1) )
      | ( X0 != max(X1,sK1) ) ),
    inference(instantiation,[status(thm)],[c_1876]) ).

tcf(c_7938,plain,
    ( ( sK1 = sK0 )
    | ( sK1 != max(sK0,sK1) )
    | ( sK0 != max(sK0,sK1) ) ),
    inference(instantiation,[status(thm)],[c_7937]) ).

tcf(c_8124,plain,
    ( model_ub(sK0,sK1,sK3(sK0,sK1,sK2))
    | ~ ub(sK0,sK1,sK3(sK0,sK1,sK2))
    | ~ lesseq(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_2516]) ).

tcf(c_8150,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,sK2)) = max(sK0,sK2) )
    | ( max(max(sK0,sK2),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5909,c_2861]) ).

tcf(c_8151,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,sK2),sK0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_5909,c_2933]) ).

tcf(c_8152,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK0,sK2),sK0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5909,c_1437]) ).

tcf(c_8153,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(max(sK0,sK2),sK0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_5909,c_2860]) ).

tcf(c_8157,plain,
    ( model_max(max(sK0,sK2),sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_1353]) ).

tcf(c_8158,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(max(sK0,sK2),sK0,X0) ),
    inference(superposition,[status(thm)],[c_5909,c_63]) ).

tcf(c_8159,plain,
    ! [X0: $i] :
      ( model_max(max(sK0,sK2),sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5909,c_62]) ).

tcf(c_8161,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(max(sK0,sK2),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_2539]) ).

tcf(c_8162,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK0,sK2),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_2532]) ).

tcf(c_8163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK0,sK2),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_1497]) ).

tcf(c_8164,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(max(sK0,sK2),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_1851]) ).

tcf(c_8165,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(max(sK0,sK2),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_1351]) ).

tcf(c_8166,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(max(sK0,sK2),sK0,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_1440]) ).

tcf(c_8260,plain,
    ( ( max(max(sK0,sK1),sK2) = sK2 )
    | ~ lesseq(max(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_4502]) ).

tcf(c_8275,plain,
    ( ( max(sK5(sK0,sK1,sK2),sK2) = sK2 )
    | ~ lesseq(sK5(sK0,sK1,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_4502]) ).

tcf(c_8282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_5498]) ).

tcf(c_8283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_5498]) ).

tcf(c_8290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_5498]) ).

tcf(c_8291,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_5498]) ).

tcf(c_8292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_5498]) ).

tcf(c_8293,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_5498]) ).

tcf(c_8295,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_5498]) ).

tcf(c_8296,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_5498]) ).

tcf(c_8299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_5498]) ).

tcf(c_8301,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,sK0,X1))
      | ( max(sK0,sK1) = sK1 )
      | ~ model_ub(X0,sK0,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_5498]) ).

tcf(c_8302,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(sK0,X0,X1))
      | ( max(sK0,sK1) = sK1 )
      | ~ model_ub(sK0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_5498]) ).

tcf(c_8303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_5498]) ).

tcf(c_8306,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_5498]) ).

tcf(c_8307,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_5498]) ).

tcf(c_8311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_5498]) ).

tcf(c_8312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | model_max(X0,X0,max(X1,X2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_5498]) ).

tcf(c_8314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_5498]) ).

tcf(c_8423,plain,
    ( ( max(sK2,max(sK0,sK1)) = sK2 )
    | ~ lesseq(max(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_4506]) ).

tcf(c_8438,plain,
    ( ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 )
    | ~ lesseq(sK5(sK0,sK1,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_4506]) ).

tcf(c_8461,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK0,sK1))
      | ~ lesseq(X2,X0)
      | ( X1 != X2 )
      | ( max(sK0,sK1) != X0 ) ),
    inference(instantiation,[status(thm)],[c_747]) ).

tcf(c_8465,plain,
    ( lesseq(sK0,max(sK0,sK1))
    | ~ lesseq(sK0,sK0)
    | ( sK0 != sK0 )
    | ( max(sK0,sK1) != sK0 ) ),
    inference(instantiation,[status(thm)],[c_8461]) ).

tcf(c_8486,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(sK0,sK1))
      | ~ lesseq(X1,X0)
      | ( sK1 != X1 )
      | ( max(sK0,sK1) != X0 ) ),
    inference(instantiation,[status(thm)],[c_2970]) ).

tcf(c_8488,plain,
    ( lesseq(sK1,max(sK0,sK1))
    | ~ lesseq(sK0,sK0)
    | ( sK1 != sK0 )
    | ( max(sK0,sK1) != sK0 ) ),
    inference(instantiation,[status(thm)],[c_8486]) ).

tcf(c_8495,plain,
    ( lesseq(sK2,sK1)
    | model_ub(sK0,sK1,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_6938,c_73,c_80,c_599,c_1621,c_1623,c_1639,c_1806,c_1841,c_2247,c_3626,c_4201,c_5326,c_5555,c_8465]) ).

tcf(c_8501,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK1)
    | model_max(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_8495,c_1703]) ).

tcf(c_8508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_6991]) ).

tcf(c_8509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_6991]) ).

tcf(c_8516,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_6991]) ).

tcf(c_8517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_6991]) ).

tcf(c_8518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_6991]) ).

tcf(c_8519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_6991]) ).

tcf(c_8521,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_6991]) ).

tcf(c_8522,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_6991]) ).

tcf(c_8525,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_6991]) ).

tcf(c_8527,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,sK0,X1))
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(X0,sK0,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_6991]) ).

tcf(c_8528,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(sK0,X0,X1))
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(sK0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_6991]) ).

tcf(c_8529,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_6991]) ).

tcf(c_8532,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_6991]) ).

tcf(c_8533,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_6991]) ).

tcf(c_8537,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_6991]) ).

tcf(c_8538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | model_max(X0,X0,max(X1,X2))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_6991]) ).

tcf(c_8540,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_6991]) ).

tcf(c_8690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(X2,X3),X1)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1587,c_1405]) ).

tcf(c_8691,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(max(X2,X3),X1)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1582,c_1405]) ).

tcf(c_8693,plain,
    ! [X0: $i] :
      ( model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1340,c_1405]) ).

tcf(c_8694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(X3,X4),X1)
      | model_max(X2,X2,max(X3,X4))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2539,c_1405]) ).

tcf(c_8695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X0,X0,X4)
      | lesseq(X4,max(X2,X3))
      | lesseq(max(X2,X3),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2532,c_1405]) ).

tcf(c_8696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X4)
      | lesseq(X4,max(X2,X3))
      | lesseq(max(X2,X3),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1497,c_1405]) ).

tcf(c_8698,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,X0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1412,c_1405]) ).

tcf(c_8699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X0,X3)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_1405]) ).

tcf(c_8700,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X2,X2),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3876,c_1405]) ).

tcf(c_8701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X0,X3)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_1405]) ).

tcf(c_8702,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_1405]) ).

tcf(c_8704,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1436,c_1405]) ).

tcf(c_8705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,X0),X2)
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1414,c_1405]) ).

tcf(c_8706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(max(X3,X4),X2)
      | model_max(X0,X1,max(X3,X4))
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1440,c_1405]) ).

tcf(c_8708,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X2,X0),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1579,c_1405]) ).

tcf(c_8709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,X2),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1584,c_1405]) ).

tcf(c_8710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(X0,X1,X4)
      | lesseq(max(X3,X3),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_2539,c_1405]) ).

tcf(c_8711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X1,X3)
      | lesseq(max(X3,X3),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_1851,c_1405]) ).

tcf(c_8712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2538,c_1405]) ).

tcf(c_8713,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2537,c_1405]) ).

tcf(c_8714,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X2,X2),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2868,c_1405]) ).

tcf(c_8715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1906,c_1405]) ).

tcf(c_8716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X2,X0),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1955,c_1405]) ).

tcf(c_8717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(max(X3,X2),X1)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2112,c_1405]) ).

tcf(c_8718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(X3,X2),X1)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1959,c_1405]) ).

tcf(c_8719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,X2),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2107,c_1405]) ).

tcf(c_8720,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(max(X2,X2),X1)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2530,c_1405]) ).

tcf(c_8721,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(X3,X3),X1)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2531,c_1405]) ).

tcf(c_8722,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_1405]) ).

tcf(c_8723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,X2)
      | lesseq(X0,max(X3,X4))
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2532,c_1405]) ).

tcf(c_8724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(max(X2,X0),X0),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2933,c_1405]) ).

tcf(c_8725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(max(X0,X2),X0),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_4543,c_1405]) ).

tcf(c_8726,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5833,c_1405]) ).

tcf(c_8727,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7475,c_1405]) ).

tcf(c_8728,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5953,c_1405]) ).

tcf(c_8729,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6175,c_1405]) ).

tcf(c_8730,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7274,c_1405]) ).

tcf(c_8937,plain,
    ( lesseq(sK1,sK2)
    | ~ lesseq(sK1,max(sK0,sK1))
    | ~ lesseq(max(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_5322]) ).

tcf(c_9258,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK0,sK2),sK0),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_8157,c_1405]) ).

tcf(c_9259,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(max(sK0,sK2),sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_8157,c_1496]) ).

tcf(c_9261,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(max(sK0,sK2),sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_8157,c_1390]) ).

tcf(c_9262,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(max(sK0,sK2),sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_8157,c_1376]) ).

tcf(c_9283,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_3542]) ).

tcf(c_9284,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_3542]) ).

tcf(c_9285,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_3542]) ).

tcf(c_9286,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_3542]) ).

tcf(c_9287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_1530]) ).

tcf(c_9288,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK0,sK1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3542,c_1476]) ).

tcf(c_9289,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_3134]) ).

tcf(c_9290,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | lesseq(X1,max(sK0,sK1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3542,c_1461]) ).

tcf(c_9291,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(sK0,sK1) = X0 )
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_3542,c_72]) ).

tcf(c_9292,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_1402]) ).

tcf(c_9293,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X1)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_3542,c_60]) ).

tcf(c_9294,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_3542,c_68]) ).

tcf(c_9295,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_3542,c_67]) ).

tcf(c_9296,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X1,X2)
      | lesseq(X2,max(sK0,sK1))
      | model_max(sK2,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_3542,c_1437]) ).

tcf(c_9297,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_62]) ).

tcf(c_9377,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(sK0,sK1,X0)
      | ~ minsol_model_ub(X2,X3,X1)
      | ( sK1 != X3 )
      | ( sK0 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_744]) ).

tcf(c_9378,plain,
    ( minsol_model_ub(sK0,sK1,sK0)
    | ~ minsol_model_ub(sK0,sK0,sK0)
    | ( sK1 != sK0 )
    | ( sK0 != sK0 ) ),
    inference(instantiation,[status(thm)],[c_9377]) ).

tcf(c_9399,plain,
    ( ub(sK0,sK1,sK3(sK0,sK1,sK2))
    | ~ lesseq(sK1,sK3(sK0,sK1,sK2))
    | ~ lesseq(sK0,sK3(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_4200]) ).

tcf(c_9402,plain,
    ( ub(sK0,sK1,sK2)
    | ~ lesseq(sK1,sK2)
    | ~ lesseq(sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_4200]) ).

tcf(c_9498,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK2),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5494,c_1405]) ).

tcf(c_9499,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5494,c_1496]) ).

tcf(c_9501,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK2,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_5494,c_1390]) ).

tcf(c_9502,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK2,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5494,c_1376]) ).

tcf(c_9524,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,sK2),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5840,c_1405]) ).

tcf(c_9525,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5840,c_1496]) ).

tcf(c_9527,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_5840,c_1390]) ).

tcf(c_9528,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5840,c_1376]) ).

tcf(c_9549,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5960,c_1405]) ).

tcf(c_9550,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5960,c_1496]) ).

tcf(c_9552,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_5960,c_1390]) ).

tcf(c_9553,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5960,c_1376]) ).

tcf(c_9611,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK2),X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_6987,c_1405]) ).

tcf(c_9612,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK2),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_1496]) ).

tcf(c_9614,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,max(sK2,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_6987,c_1390]) ).

tcf(c_9615,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(max(sK2,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6987,c_1376]) ).

tcf(c_9635,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),sK1)
      | ~ lesseq(X0,sK1)
      | ( sK1 != sK1 )
      | ( max(sK0,sK1) != X0 ) ),
    inference(instantiation,[status(thm)],[c_4093]) ).

tcf(c_9663,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK0),X1)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_7282,c_1405]) ).

tcf(c_9664,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7282,c_1496]) ).

tcf(c_9666,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_7282,c_1390]) ).

tcf(c_9667,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_7282,c_1376]) ).

tcf(c_9753,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_7483,c_1405]) ).

tcf(c_9754,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7483,c_1496]) ).

tcf(c_9756,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_7483,c_1390]) ).

tcf(c_9757,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_7483,c_1376]) ).

tcf(c_9877,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_8693]) ).

tcf(c_9878,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_8693]) ).

tcf(c_9879,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_8693]) ).

tcf(c_9880,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_8693]) ).

tcf(c_9881,plain,
    ! [X0: $i,X1: $i] :
      ( model_ub(sK0,sK1,sK2)
      | minsol_model_ub(X0,X1,max(sK0,sK1))
      | ~ model_ub(X0,X1,max(sK0,sK1))
      | ~ lesseq(sK2,sK4(X0,X1,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_8693,c_55]) ).

tcf(c_9882,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_1530]) ).

tcf(c_9883,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | ( max(X1,max(sK0,sK1)) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_1476]) ).

tcf(c_9884,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(max(sK0,sK1),max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_3134]) ).

tcf(c_9885,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | ( max(max(sK0,sK1),X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_1461]) ).

tcf(c_9886,plain,
    ! [X0: $i] :
      ( model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = X0 )
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_8693,c_72]) ).

tcf(c_9887,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_1402]) ).

tcf(c_9888,plain,
    ! [X0: $i,X1: $i] :
      ( model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_8693,c_60]) ).

tcf(c_9889,plain,
    ! [X0: $i] :
      ( model_ub(sK0,sK1,sK2)
      | ( max(X0,max(sK0,sK1)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_68]) ).

tcf(c_9890,plain,
    ! [X0: $i] :
      ( model_ub(sK0,sK1,sK2)
      | ( max(max(sK0,sK1),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_67]) ).

tcf(c_9891,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_1437]) ).

tcf(c_9892,plain,
    ! [X0: $i] :
      ( model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_62]) ).

tcf(c_10025,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(max(X2,X3),X1)
      | ( max(max(X2,X3),X0) = max(X2,X3) )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1438,c_1405]) ).

tcf(c_10026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(max(X0,X1),X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_1496]) ).

tcf(c_10028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,max(X0,X1)) = X2 )
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_1390]) ).

tcf(c_10029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(max(X0,X1),X2) = X2 )
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_1376]) ).

tcf(c_10031,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(max(X0,X0),X1) = max(X0,X0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_1413]) ).

tcf(c_10074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(max(X2,X3),X1)
      | ( max(X0,max(X2,X3)) = max(X2,X3) )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1439,c_1405]) ).

tcf(c_10075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(max(X1,X2),X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_1496]) ).

tcf(c_10077,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X0,max(X1,X2)) = X0 )
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_1390]) ).

tcf(c_10078,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,max(X0,X1)) = max(X0,X1) )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1439,c_1376]) ).

tcf(c_10080,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X0,max(X1,X1)) = max(X1,X1) ) ),
    inference(superposition,[status(thm)],[c_1439,c_1413]) ).

tcf(c_10102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( minsol_model_ub(X0,X1,sK5(X2,X3,X4))
      | lesseq(sK4(X0,X1,sK5(X2,X3,X4)),X4)
      | ~ model_ub(X2,X3,X4)
      | ~ model_ub(X0,X1,sK5(X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_1552,c_55]) ).

tcf(c_10103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X2)
      | lesseq(X3,X5)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_1530]) ).

tcf(c_10104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_1476]) ).

tcf(c_10105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_3134]) ).

tcf(c_10106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_1461]) ).

tcf(c_10107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | ( sK5(X1,X2,X3) = X0 )
      | ~ model_ub(X1,X2,X3)
      | ~ lesseq(X0,sK5(X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_1552,c_72]) ).

tcf(c_10109,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X2)
      | lesseq(sK5(X0,X1,X2),X4)
      | ~ lesseq(X3,X4)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_60]) ).

tcf(c_10189,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK5(X0,X1,sK4(X0,X1,X2))) = sK4(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_1554]) ).

tcf(c_10190,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_8495,c_1554]) ).

tcf(c_10191,plain,
    ( ( max(sK2,max(sK0,sK1)) = sK2 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2985,c_1554]) ).

tcf(c_10192,plain,
    ( ( max(max(sK0,sK1),sK2) = sK2 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2850,c_1554]) ).

tcf(c_10231,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_1530]) ).

tcf(c_10232,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(X0,sK2) = X0 )
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_1476]) ).

tcf(c_10233,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK2,X0)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_3134]) ).

tcf(c_10234,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK2,X0) = X0 )
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_1461]) ).

tcf(c_10235,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 )
    | ~ lesseq(sK1,sK2) ),
    inference(superposition,[status(thm)],[c_10190,c_72]) ).

tcf(c_10236,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_1402]) ).

tcf(c_10237,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_10190,c_60]) ).

tcf(c_10238,plain,
    ( ( max(sK1,sK2) = sK1 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_68]) ).

tcf(c_10239,plain,
    ( ( max(sK2,sK1) = sK1 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_67]) ).

tcf(c_10277,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | ( max(sK5(X0,X1,sK4(X0,X1,X2)),sK4(X0,X1,X2)) = sK4(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_1555]) ).

tcf(c_10278,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_8495,c_1555]) ).

tcf(c_10279,plain,
    ( ( max(sK2,max(sK0,sK1)) = sK2 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2985,c_1555]) ).

tcf(c_10280,plain,
    ( ( max(max(sK0,sK1),sK2) = sK2 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2850,c_1555]) ).

tcf(c_10295,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_1530]) ).

tcf(c_10296,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(X0,sK2) = X0 )
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_1476]) ).

tcf(c_10297,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK2,X0)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_3134]) ).

tcf(c_10298,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK2,X0) = X0 )
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_1461]) ).

tcf(c_10299,plain,
    ( ( sK1 = sK2 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 )
    | ~ lesseq(sK1,sK2) ),
    inference(superposition,[status(thm)],[c_10278,c_72]) ).

tcf(c_10300,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_1402]) ).

tcf(c_10301,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_10278,c_60]) ).

tcf(c_10302,plain,
    ( ( max(sK1,sK2) = sK1 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_68]) ).

tcf(c_10303,plain,
    ( ( max(sK2,sK1) = sK1 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_67]) ).

tcf(c_10387,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(max(sK0,sK1),sK2)
      | ( sK2 != sK2 )
      | ( X0 != max(sK0,sK1) ) ),
    inference(instantiation,[status(thm)],[c_6548]) ).

tcf(c_10402,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(sK1,sK2)
      | ( sK2 != sK2 )
      | ( X0 != sK1 ) ),
    inference(instantiation,[status(thm)],[c_6548]) ).

tcf(c_10412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_1580]) ).

tcf(c_10414,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1582,c_1580]) ).

tcf(c_10415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X1,X2) = X1 )
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_1580]) ).

tcf(c_10418,plain,
    ( lesseq(sK1,sK2)
    | model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1340,c_1580]) ).

tcf(c_10419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_1580]) ).

tcf(c_10420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1580]) ).

tcf(c_10421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_1580]) ).

tcf(c_10422,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1353,c_1580]) ).

tcf(c_10431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,max(X2,X3))
      | model_max(X2,X3,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1440,c_1580]) ).

tcf(c_10433,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_1580]) ).

tcf(c_10437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_1580]) ).

tcf(c_10438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_1580]) ).

tcf(c_10439,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,X1) = X1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2868,c_1580]) ).

tcf(c_10443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X0,X2)
      | ( max(X1,X0) = X1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1959,c_1580]) ).

tcf(c_10446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X1,X1) = X1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_1580]) ).

tcf(c_10449,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2933,c_1580]) ).

tcf(c_10450,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_1580]) ).

tcf(c_10451,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5494,c_1580]) ).

tcf(c_10455,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK2,sK0) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7475,c_1580]) ).

tcf(c_10456,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK2,sK0) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5953,c_1580]) ).

tcf(c_10457,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK0) = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7483,c_1580]) ).

tcf(c_10458,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK0) = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5960,c_1580]) ).

tcf(c_10462,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,sK2),sK0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_8157,c_1580]) ).

tcf(c_10603,plain,
    ( model_ub(sK0,sK1,sK2)
    | ~ lesseq(sK2,sK2)
    | ~ ub(sK0,sK1,sK2) ),
    inference(instantiation,[status(thm)],[c_6810]) ).

tcf(c_10624,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_10422]) ).

tcf(c_10635,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X0,X1))
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_1476]) ).

tcf(c_10636,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_3134]) ).

tcf(c_10637,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X0,X1))
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_1461]) ).

tcf(c_10639,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_1402]) ).

tcf(c_10640,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X0,X1) = X0 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_10422,c_60]) ).

tcf(c_10641,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_10422,c_68]) ).

tcf(c_10642,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(X1,X0)) = max(X1,X0) ) ),
    inference(superposition,[status(thm)],[c_10422,c_67]) ).

tcf(c_10643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X1,X2,X3)
      | lesseq(X3,max(X0,max(X1,X2)))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_1437]) ).

tcf(c_10644,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,max(X0,max(X1,X2)))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_62]) ).

tcf(c_10645,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(sK2,max(X0,max(sK0,sK1)))
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_1824]) ).

tcf(c_10646,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_6991]) ).

tcf(c_10647,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_5498]) ).

tcf(c_10721,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK0,sK1) = sK0 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10418,c_1555]) ).

tcf(c_10722,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK0,sK1) = sK0 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10418,c_1554]) ).

tcf(c_10723,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_10418,c_1703]) ).

tcf(c_10737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(max(X3,X0),X2)
      | ( max(X3,X0) = X3 )
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_1405]) ).

tcf(c_10738,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(max(X2,X0),X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_1496]) ).

tcf(c_10740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,X0) = X2 )
      | ( max(X1,max(X2,X0)) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_1390]) ).

tcf(c_10741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,X0) = X2 )
      | ( max(max(X2,X0),X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_1376]) ).

tcf(c_10764,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_1585]) ).

tcf(c_10765,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1587,c_1585]) ).

tcf(c_10767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_1585]) ).

tcf(c_10770,plain,
    ( lesseq(sK0,sK2)
    | model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1340,c_1585]) ).

tcf(c_10771,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | model_max(X2,X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_1585]) ).

tcf(c_10772,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1585]) ).

tcf(c_10773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_1585]) ).

tcf(c_10774,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1353,c_1585]) ).

tcf(c_10783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,max(X2,X3))
      | model_max(X2,X3,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1440,c_1585]) ).

tcf(c_10786,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X2,X0) = X0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_1585]) ).

tcf(c_10795,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X1,X2)
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2112,c_1585]) ).

tcf(c_10806,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5833,c_1585]) ).

tcf(c_10807,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK0,sK2) = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5840,c_1585]) ).

tcf(c_10812,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_6175,c_1585]) ).

tcf(c_10813,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK1,sK0) = sK0 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7274,c_1585]) ).

tcf(c_10814,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7282,c_1585]) ).

tcf(c_10960,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X0,X1))
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_1476]) ).

tcf(c_10961,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_3134]) ).

tcf(c_10962,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X0,X1))
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_1461]) ).

tcf(c_10964,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_1402]) ).

tcf(c_10965,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X0,X1) = X1 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_10774,c_60]) ).

tcf(c_10966,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),X0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_10774,c_68]) ).

tcf(c_10967,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_10774,c_67]) ).

tcf(c_10968,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X1,X3)
      | lesseq(X3,max(max(X0,X1),X2))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_10774,c_1437]) ).

tcf(c_10969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,max(max(X0,X1),X2))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_10774,c_62]) ).

tcf(c_10970,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(sK2,max(max(sK0,sK1),X0))
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_1824]) ).

tcf(c_10971,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK0,X0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_6991]) ).

tcf(c_10972,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK0,X0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_5498]) ).

tcf(c_11070,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6993,c_6065]) ).

tcf(c_11072,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_6065,c_10774]) ).

tcf(c_11074,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_6065,c_4543]) ).

tcf(c_11075,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_6065,c_2861]) ).

tcf(c_11077,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,max(sK2,sK0),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6065,c_1437]) ).

tcf(c_11082,plain,
    ( model_max(sK0,max(sK2,sK0),sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_1353]) ).

tcf(c_11083,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(sK0,max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_6065,c_63]) ).

tcf(c_11084,plain,
    ! [X0: $i] :
      ( model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6065,c_62]) ).

tcf(c_11086,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_2539]) ).

tcf(c_11087,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_2532]) ).

tcf(c_11088,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_1497]) ).

tcf(c_11089,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_1851]) ).

tcf(c_11090,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_1351]) ).

tcf(c_11091,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK0,max(sK2,sK0),max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_1440]) ).

tcf(c_11166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X2) = X0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_1580]) ).

tcf(c_11167,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(max(X0,X3),X2)
      | ( max(X0,X3) = X3 )
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_1405]) ).

tcf(c_11168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(max(X0,X2),X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_1496]) ).

tcf(c_11170,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X0,X2) = X2 )
      | ( max(X1,max(X0,X2)) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_1390]) ).

tcf(c_11171,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X0,X2) = X2 )
      | ( max(max(X0,X2),X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_1376]) ).

tcf(c_11198,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) )
      | ~ model_ub(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1825,c_58]) ).

tcf(c_11199,plain,
    ( model_ub(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1825,c_57]) ).

tcf(c_11223,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) )
      | ~ model_ub(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1826,c_58]) ).

tcf(c_11224,plain,
    ( model_ub(sK0,sK1,sK2)
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1826,c_57]) ).

tcf(c_11241,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_11082]) ).

tcf(c_11245,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,max(sK2,sK0)),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_11082,c_1405]) ).

tcf(c_11246,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,max(sK2,sK0)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_11082,c_1496]) ).

tcf(c_11248,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,max(sK2,sK0))) = sK0 ) ),
    inference(superposition,[status(thm)],[c_11082,c_1390]) ).

tcf(c_11249,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,max(sK2,sK0)),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_11082,c_1376]) ).

tcf(c_11347,plain,
    ( ( max(sK0,sK1) = sK1 )
    | model_ub(sK0,sK1,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_10770,c_2892,c_4608,c_8495,c_10770]) ).

tcf(c_11348,plain,
    ( model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(renaming,[status(thm)],[c_11347]) ).

tcf(c_11353,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_11348,c_1555]) ).

tcf(c_11354,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_11348,c_1554]) ).

tcf(c_11355,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_11348,c_1703]) ).

tcf(c_11366,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | lesseq(X1,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_1530]) ).

tcf(c_11367,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,X4) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_1476]) ).

tcf(c_11368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X4)
      | model_max(X4,X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_3134]) ).

tcf(c_11369,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X3)
      | lesseq(X4,sK5(X0,X1,X2))
      | ( max(X3,X4) = X4 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_1461]) ).

tcf(c_11370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | ( sK5(X0,X1,X2) = X3 )
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1732,c_72]) ).

tcf(c_11372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X1,X4)
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1732,c_60]) ).

tcf(c_11373,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_68]) ).

tcf(c_11374,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_67]) ).

tcf(c_11375,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( model_max(X4,X5,X3)
      | lesseq(X1,max(X4,X5))
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_1437]) ).

tcf(c_11376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,max(X3,X4))
      | model_max(X3,X4,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_62]) ).

tcf(c_11377,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X1,max(sK0,sK1))
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_1824]) ).

tcf(c_11378,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_6991]) ).

tcf(c_11379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( max(sK0,sK1) = sK1 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_5498]) ).

tcf(c_11723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | lesseq(X0,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_1530]) ).

tcf(c_11724,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,X4) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_1476]) ).

tcf(c_11725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X4)
      | model_max(X4,X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_3134]) ).

tcf(c_11726,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X3)
      | lesseq(X4,sK5(X0,X1,X2))
      | ( max(X3,X4) = X4 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_1461]) ).

tcf(c_11727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | ( sK5(X0,X1,X2) = X3 )
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1761,c_72]) ).

tcf(c_11729,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X0,X4)
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK5(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1761,c_60]) ).

tcf(c_11730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_68]) ).

tcf(c_11731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_67]) ).

tcf(c_11732,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( model_max(X4,X5,X3)
      | lesseq(X0,max(X4,X5))
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_1437]) ).

tcf(c_11733,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,max(X3,X4))
      | model_max(X3,X4,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_62]) ).

tcf(c_11734,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1))
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_1824]) ).

tcf(c_11735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_6991]) ).

tcf(c_11736,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( max(sK0,sK1) = sK1 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_5498]) ).

tcf(c_11877,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X0,X1,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1585]) ).

tcf(c_11879,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X2,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1904,c_1405]) ).

tcf(c_11880,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X0,X1,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1496]) ).

tcf(c_11882,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1390]) ).

tcf(c_11883,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1376]) ).

tcf(c_11885,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1585]) ).

tcf(c_11887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X2)
      | lesseq(max(X2,X3),X1)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1904,c_1405]) ).

tcf(c_11888,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1496]) ).

tcf(c_11890,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X1)
      | ( max(X1,X2) = X2 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1390]) ).

tcf(c_11891,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1904,c_1376]) ).

tcf(c_11892,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_488]) ).

tcf(c_11913,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_11883,c_1375]) ).

tcf(c_11955,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X1,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1585]) ).

tcf(c_11957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X0,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1905,c_1405]) ).

tcf(c_11958,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,X1,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1496]) ).

tcf(c_11960,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X0,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1390]) ).

tcf(c_11961,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X1,X0)
      | ( max(X2,X1) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1376]) ).

tcf(c_11964,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1580]) ).

tcf(c_11965,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X3)
      | lesseq(max(X2,X3),X1)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1905,c_1405]) ).

tcf(c_11966,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1496]) ).

tcf(c_11968,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( max(X1,X2) = X1 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1390]) ).

tcf(c_11969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1376]) ).

tcf(c_11970,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_488]) ).

tcf(c_11991,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X1,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_11961,c_1375]) ).

tcf(c_12017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X1)
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_1956]) ).

tcf(c_12019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_1956]) ).

tcf(c_12022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | ( max(X2,X1) = X1 )
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_1956]) ).

tcf(c_12025,plain,
    ( lesseq(sK1,sK2)
    | model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1340,c_1956]) ).

tcf(c_12026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | model_max(X2,X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_1956]) ).

tcf(c_12027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_1956]) ).

tcf(c_12028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_1956]) ).

tcf(c_12029,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1353,c_1956]) ).

tcf(c_12038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,max(X2,X3))
      | model_max(X2,X3,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1440,c_1956]) ).

tcf(c_12043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X2,X0) = X0 )
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_1956]) ).

tcf(c_12066,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_7475,c_1956]) ).

tcf(c_12068,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_7483,c_1956]) ).

tcf(c_12157,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X1,X0))
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_1476]) ).

tcf(c_12158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_3134]) ).

tcf(c_12159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X1,X0))
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_1461]) ).

tcf(c_12161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_1402]) ).

tcf(c_12162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X1,X0) = X0 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_12029,c_60]) ).

tcf(c_12163,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),X1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_12029,c_68]) ).

tcf(c_12164,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X1,X0)) = max(X1,X0) ) ),
    inference(superposition,[status(thm)],[c_12029,c_67]) ).

tcf(c_12165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X1,X3)
      | lesseq(X3,max(X2,max(X0,X1)))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_12029,c_1437]) ).

tcf(c_12166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,max(X2,max(X0,X1)))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_12029,c_62]) ).

tcf(c_12167,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(sK2,max(X0,max(sK0,sK1)))
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_1824]) ).

tcf(c_12168,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_6991]) ).

tcf(c_12169,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_5498]) ).

tcf(c_12287,plain,
    ! [X0: $i,X1: $i] :
      ( ub(X1,sK2,max(sK0,sK1))
      | ~ ub(X1,sK2,X0)
      | ( max(sK0,sK1) != X0 ) ),
    inference(instantiation,[status(thm)],[c_3365]) ).

tcf(c_12289,plain,
    ( ub(sK0,sK2,max(sK0,sK1))
    | ~ ub(sK0,sK2,sK0)
    | ( max(sK0,sK1) != sK0 ) ),
    inference(instantiation,[status(thm)],[c_12287]) ).

tcf(c_12323,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK1,sK0) = sK0 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_12025,c_1555]) ).

tcf(c_12324,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK1,sK0) = sK0 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_12025,c_1554]) ).

tcf(c_12325,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_12025,c_1703]) ).

tcf(c_12352,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(max(sK2,sK0),sK0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_6066,c_10422]) ).

tcf(c_12354,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) )
    | ( max(max(sK2,sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6066,c_2861]) ).

tcf(c_12355,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(max(sK2,sK0),sK0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_6066,c_2933]) ).

tcf(c_12356,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK2,sK0),sK0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6066,c_1437]) ).

tcf(c_12357,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(max(sK2,sK0),sK0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_6066,c_2860]) ).

tcf(c_12361,plain,
    ( model_max(max(sK2,sK0),sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_1353]) ).

tcf(c_12362,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(max(sK2,sK0),sK0,X0) ),
    inference(superposition,[status(thm)],[c_6066,c_63]) ).

tcf(c_12363,plain,
    ! [X0: $i] :
      ( model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6066,c_62]) ).

tcf(c_12366,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_2539]) ).

tcf(c_12367,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_2532]) ).

tcf(c_12368,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_1497]) ).

tcf(c_12369,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_1851]) ).

tcf(c_12370,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_1351]) ).

tcf(c_12371,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(max(sK2,sK0),sK0,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_1440]) ).

tcf(c_12474,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(max(X3,X0),X2)
      | ( max(X0,X3) = X3 )
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1957,c_1405]) ).

tcf(c_12475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(max(X2,X0),X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1957,c_1496]) ).

tcf(c_12477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X0,X2) = X2 )
      | ( max(X1,max(X2,X0)) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1957,c_1390]) ).

tcf(c_12478,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X0,X2) = X2 )
      | ( max(max(X2,X0),X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1957,c_1376]) ).

tcf(c_12506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X0)
      | ( max(X1,X0) = X1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_2108]) ).

tcf(c_12507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_2108]) ).

tcf(c_12510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_2108]) ).

tcf(c_12513,plain,
    ( lesseq(sK0,sK2)
    | model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1340,c_2108]) ).

tcf(c_12514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_2108]) ).

tcf(c_12515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_2108]) ).

tcf(c_12516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_2108]) ).

tcf(c_12517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1353,c_2108]) ).

tcf(c_12526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,max(X2,X3))
      | model_max(X2,X3,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1440,c_2108]) ).

tcf(c_12530,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X2) = X0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_2108]) ).

tcf(c_12560,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK0,sK2) = sK0 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7274,c_2108]) ).

tcf(c_12561,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7282,c_2108]) ).

tcf(c_12657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(max(X0,X3),X2)
      | ( max(X3,X0) = X3 )
      | ~ lesseq(X1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2109,c_1405]) ).

tcf(c_12658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(max(X0,X2),X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2109,c_1496]) ).

tcf(c_12660,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,X0) = X2 )
      | ( max(X1,max(X0,X2)) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2109,c_1390]) ).

tcf(c_12661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(X2,X0) = X2 )
      | ( max(max(X0,X2),X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2109,c_1376]) ).

tcf(c_12785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X0)
      | lesseq(X3,X5)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_2529]) ).

tcf(c_12786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X5)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_2529]) ).

tcf(c_12793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X2,X4)
      | model_max(X3,X3,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_2529]) ).

tcf(c_12794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X4)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_2529]) ).

tcf(c_12795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X5)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_2529]) ).

tcf(c_12796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X2,X4)
      | model_max(X3,X3,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_2529]) ).

tcf(c_12797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X1,X5)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_2529]) ).

tcf(c_12798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2411,c_2529]) ).

tcf(c_12799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_2529]) ).

tcf(c_12800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1494,c_2529]) ).

tcf(c_12802,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | model_max(max(X0,X1),max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_2529]) ).

tcf(c_12804,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_2529]) ).

tcf(c_12806,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(X1,X1,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_2529]) ).

tcf(c_12807,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(X0,X0,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_2529]) ).

tcf(c_12808,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X2)
      | lesseq(X3,X5)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_2529]) ).

tcf(c_12809,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_2529]) ).

tcf(c_12810,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_2529]) ).

tcf(c_12813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | model_max(X4,X4,X5)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_2529]) ).

tcf(c_12814,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X3,X4)
      | model_max(X4,X4,X5)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_2529]) ).

tcf(c_12816,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_2529]) ).

tcf(c_12817,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_2529]) ).

tcf(c_12821,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X2)
      | lesseq(X3,X5)
      | lesseq(X1,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_2529]) ).

tcf(c_12822,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_2529]) ).

tcf(c_12823,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X5)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_2529]) ).

tcf(c_12825,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_ub(sK0,sK1,sK2)
      | model_max(max(sK0,sK1),max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_2529]) ).

tcf(c_12826,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | model_max(max(sK0,sK1),max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_4108,c_2529]) ).

tcf(c_12827,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X1)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_2529]) ).

tcf(c_12829,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X0,X4)
      | model_max(X4,X4,X5)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_2529]) ).

tcf(c_12830,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X1,X4)
      | model_max(X4,X4,X5)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_2529]) ).

tcf(c_12832,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_2529]) ).

tcf(c_12833,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_2529]) ).

tcf(c_12836,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X1,X1,X3)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_2529]) ).

tcf(c_12837,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X0,X3)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_2529]) ).

tcf(c_12838,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X0,X0,X3)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_2529]) ).

tcf(c_13508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X1,X1,X3)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_2529]) ).

tcf(c_13510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X1,X0))
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_1476]) ).

tcf(c_13511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,X2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_3134]) ).

tcf(c_13512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(X1,X0))
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_1461]) ).

tcf(c_13514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_1402]) ).

tcf(c_13515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X0) = X1 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_12517,c_60]) ).

tcf(c_13516,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),X0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_12517,c_68]) ).

tcf(c_13517,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_12517,c_67]) ).

tcf(c_13518,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X1,X2,X3)
      | lesseq(X3,max(max(X1,X2),X0))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_1437]) ).

tcf(c_13519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,max(max(X1,X2),X0))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_62]) ).

tcf(c_13520,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(sK2,max(max(sK0,sK1),X0))
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_1824]) ).

tcf(c_13521,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK0,X0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_6991]) ).

tcf(c_13522,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK0,X0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_5498]) ).

tcf(c_13692,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK2,sK0),sK0),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_12361,c_1405]) ).

tcf(c_13693,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(max(sK2,sK0),sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_12361,c_1496]) ).

tcf(c_13695,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(max(sK2,sK0),sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_12361,c_1390]) ).

tcf(c_13696,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(max(sK2,sK0),sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_12361,c_1376]) ).

tcf(c_13801,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,sK1))
      | ~ lesseq(sK2,X1)
      | ( sK2 != sK2 )
      | ( max(X0,sK1) != X1 ) ),
    inference(instantiation,[status(thm)],[c_5697]) ).

tcf(c_13810,plain,
    ( ( max(sK1,sK0) = sK1 )
    | model_ub(sK0,sK1,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_12513,c_2896,c_4608,c_8495,c_12513]) ).

tcf(c_13811,plain,
    ( model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(renaming,[status(thm)],[c_13810]) ).

tcf(c_13816,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_13811,c_1555]) ).

tcf(c_13817,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_13811,c_1554]) ).

tcf(c_13818,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_13811,c_1703]) ).

tcf(c_13829,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X0,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_2108]) ).

tcf(c_13833,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X0,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1958,c_1405]) ).

tcf(c_13834,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X0,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_1496]) ).

tcf(c_13836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X0,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_1390]) ).

tcf(c_13837,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X1,X0)
      | ( max(X1,X2) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_1376]) ).

tcf(c_13843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X2)
      | lesseq(max(X3,X2),X1)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1958,c_1405]) ).

tcf(c_13844,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_1496]) ).

tcf(c_13846,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( max(X2,X1) = X1 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_1390]) ).

tcf(c_13847,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_1958,c_1376]) ).

tcf(c_13848,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_488]) ).

tcf(c_13866,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X1,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_13837,c_1375]) ).

tcf(c_13892,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X1,X0,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_2108]) ).

tcf(c_13896,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X2,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2111,c_1405]) ).

tcf(c_13897,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X1,X0,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_1496]) ).

tcf(c_13899,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_1390]) ).

tcf(c_13900,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2111,c_1376]) ).

tcf(c_13906,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X3)
      | lesseq(max(X3,X2),X1)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2111,c_1405]) ).

tcf(c_13907,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_1496]) ).

tcf(c_13909,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X1)
      | ( max(X2,X1) = X2 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_1390]) ).

tcf(c_13910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_2111,c_1376]) ).

tcf(c_13911,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2111,c_488]) ).

tcf(c_13929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_13900,c_1375]) ).

tcf(c_14080,plain,
    ( lesseq(max(sK0,sK1),sK1)
    | ~ lesseq(sK1,sK1)
    | ( sK1 != sK1 )
    | ( max(sK0,sK1) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_9635]) ).

tcf(c_14147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X0,X3)
      | model_max(X3,X3,X4)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_2536]) ).

tcf(c_14149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_2536]) ).

tcf(c_14150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X1,X3)
      | model_max(X3,X3,X4)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_2536]) ).

tcf(c_14151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X2)
      | lesseq(X4,X5)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_2536]) ).

tcf(c_14156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | model_max(X3,X3,X4)
      | lesseq(max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_2536]) ).

tcf(c_14157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | model_max(X3,X3,X4)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_2536]) ).

tcf(c_14158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X2,X3)
      | model_max(X3,X3,X4)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_2536]) ).

tcf(c_14162,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X2)
      | lesseq(X4,X5)
      | model_max(X3,X3,X4)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_2536]) ).

tcf(c_14167,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X4,X5)
      | model_max(X5,X5,X0)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_2536]) ).

tcf(c_14168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X3,X5)
      | model_max(X4,X4,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_2536]) ).

tcf(c_14170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X2,X3)
      | model_max(X3,X3,X4)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_2536]) ).

tcf(c_14171,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X2,X3)
      | model_max(X3,X3,X4)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_2536]) ).

tcf(c_14175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X2)
      | lesseq(X4,X5)
      | lesseq(X3,X0)
      | lesseq(X1,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_2536]) ).

tcf(c_14176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X3,X4)
      | model_max(X4,X4,X5)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_2536]) ).

tcf(c_14179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_2536]) ).

tcf(c_14180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_4108,c_2536]) ).

tcf(c_14181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X2)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_2536]) ).

tcf(c_14183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X0,X5)
      | model_max(X4,X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_2536]) ).

tcf(c_14184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X1,X5)
      | model_max(X4,X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_2536]) ).

tcf(c_14186,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_2536]) ).

tcf(c_14187,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_2536]) ).

tcf(c_14489,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6993,c_2864]) ).

tcf(c_14500,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( max(X1,max(X0,X1)) = max(X0,X1) )
      | ( max(max(X0,X1),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_2861]) ).

tcf(c_14502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(max(X2,X0),X0,X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2864,c_1437]) ).

tcf(c_14507,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(max(X1,X0),X0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_1353]) ).

tcf(c_14508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ( max(X1,X0) = X0 )
      | ~ model_max(max(X0,X1),X1,X2) ),
    inference(superposition,[status(thm)],[c_2864,c_63]) ).

tcf(c_14509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(max(X2,X0),X0,X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2864,c_62]) ).

tcf(c_14513,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_2539]) ).

tcf(c_14514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_2532]) ).

tcf(c_14515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_1497]) ).

tcf(c_14516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_1851]) ).

tcf(c_14517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_1351]) ).

tcf(c_14518,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(max(X1,X0),X0,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_1440]) ).

tcf(c_14693,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_6993,c_14507]) ).

tcf(c_14704,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(max(X2,X0),X0),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_14507,c_1405]) ).

tcf(c_14705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(max(max(X1,X0),X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_14507,c_1496]) ).

tcf(c_14707,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(max(X1,X0),X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_14507,c_1390]) ).

tcf(c_14708,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( max(max(max(X0,X1),X1),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_14507,c_1376]) ).

tcf(c_14775,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_2865]) ).

tcf(c_14778,plain,
    ( ( max(sK1,sK1) = sK1 )
    | ( max(sK0,sK2) = sK0 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_2865]) ).

tcf(c_14783,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6993,c_2865]) ).

tcf(c_14797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(max(X0,X2),X0,X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2865,c_1437]) ).

tcf(c_14802,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(max(X1,X0),X1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_1353]) ).

tcf(c_14803,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(max(X0,X1),X0,X2) ),
    inference(superposition,[status(thm)],[c_2865,c_63]) ).

tcf(c_14804,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(max(X0,X2),X0,X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2865,c_62]) ).

tcf(c_14809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_2539]) ).

tcf(c_14810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_2532]) ).

tcf(c_14811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_1497]) ).

tcf(c_14812,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_1851]) ).

tcf(c_14813,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_1351]) ).

tcf(c_14814,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(max(X1,X0),X1,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_1440]) ).

tcf(c_14957,plain,
    ( model_max(sK1,sK1,sK1)
    | ( max(sK0,sK2) = sK0 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_14802]) ).

tcf(c_14973,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(max(X0,X2),X0),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_14802,c_1405]) ).

tcf(c_14974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(max(X1,X0),X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_14802,c_1496]) ).

tcf(c_14976,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(max(X0,X1),X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_14802,c_1390]) ).

tcf(c_14977,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(max(max(X0,X1),X0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_14802,c_1376]) ).

tcf(c_15022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,max(X2,X0),X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2995,c_1437]) ).

tcf(c_15027,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,max(X0,X1),X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_1353]) ).

tcf(c_15028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(X0,max(X1,X0),X2) ),
    inference(superposition,[status(thm)],[c_2995,c_63]) ).

tcf(c_15029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,max(X2,X0),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2995,c_62]) ).

tcf(c_15030,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X0 )
      | ( max(X1,max(X0,X1)) = X1 )
      | ( max(max(X0,X1),X1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2995,c_2995]) ).

tcf(c_15036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_2539]) ).

tcf(c_15037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_2532]) ).

tcf(c_15038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_1497]) ).

tcf(c_15039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_1851]) ).

tcf(c_15040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_1351]) ).

tcf(c_15041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(X1,max(X0,X1),max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_1440]) ).

tcf(c_15215,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5499,c_6891]) ).

tcf(c_15216,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(max(sK0,max(sK0,sK2)),sK0) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6891,c_2865]) ).

tcf(c_15218,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,max(sK0,sK2))) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6891,c_10774]) ).

tcf(c_15220,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,max(sK0,sK2))) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6891,c_4543]) ).

tcf(c_15221,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(sK0,max(sK0,max(sK0,sK2))) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6891,c_2861]) ).

tcf(c_15223,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,max(sK0,max(sK0,sK2)),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6891,c_1437]) ).

tcf(c_15228,plain,
    ( model_max(sK0,max(sK0,max(sK0,sK2)),sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_1353]) ).

tcf(c_15229,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(sK0,max(sK0,max(sK0,sK2)),X0) ),
    inference(superposition,[status(thm)],[c_6891,c_63]) ).

tcf(c_15230,plain,
    ! [X0: $i] :
      ( model_max(sK0,max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6891,c_62]) ).

tcf(c_15232,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,max(sK0,sK2)),sK0) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6891,c_14802]) ).

tcf(c_15234,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,max(sK0,sK2)),sK0) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6891,c_12517]) ).

tcf(c_15237,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(sK0,max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_2539]) ).

tcf(c_15238,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_2532]) ).

tcf(c_15239,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_1497]) ).

tcf(c_15240,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(sK0,max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_1851]) ).

tcf(c_15241,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_1351]) ).

tcf(c_15242,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK0,max(sK0,max(sK0,sK2)),max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_1440]) ).

tcf(c_15417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_2108]) ).

tcf(c_15421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X2,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3710,c_1405]) ).

tcf(c_15422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,X0,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_1496]) ).

tcf(c_15424,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_1390]) ).

tcf(c_15425,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3710,c_1376]) ).

tcf(c_15431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X3)
      | lesseq(max(X2,X2),X1)
      | ( max(X2,X3) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3710,c_1405]) ).

tcf(c_15432,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | lesseq(max(X0,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_1496]) ).

tcf(c_15434,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( max(X1,X2) = X1 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_1390]) ).

tcf(c_15435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,X2)
      | ( max(X0,X2) = X0 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3710,c_1376]) ).

tcf(c_15466,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X2,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_2108]) ).

tcf(c_15470,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X2,X3)
      | lesseq(max(X3,X3),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3711,c_1405]) ).

tcf(c_15471,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X2,X2),X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_1496]) ).

tcf(c_15473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3711,c_1390]) ).

tcf(c_15474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_1376]) ).

tcf(c_15476,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | ( max(X1,X1) = X1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_2108]) ).

tcf(c_15480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X2)
      | lesseq(max(X3,X3),X1)
      | ( max(X2,X3) = X3 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3711,c_1405]) ).

tcf(c_15481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | lesseq(max(X1,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_1496]) ).

tcf(c_15483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,X2)
      | ( max(X2,X1) = X1 )
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3711,c_1390]) ).

tcf(c_15484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,X2)
      | ( max(X2,X0) = X0 )
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_1376]) ).

tcf(c_15520,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_3713]) ).

tcf(c_15521,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_3713]) ).

tcf(c_15522,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_3713]) ).

tcf(c_15523,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_3713]) ).

tcf(c_15524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_3713]) ).

tcf(c_15525,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_3713]) ).

tcf(c_15526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_3713]) ).

tcf(c_15527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_3713]) ).

tcf(c_15528,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_3713]) ).

tcf(c_15529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_3713]) ).

tcf(c_15530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_3713]) ).

tcf(c_15531,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_3713]) ).

tcf(c_15532,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5500,c_3713]) ).

tcf(c_15533,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5499,c_3713]) ).

tcf(c_15534,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5908,c_3713]) ).

tcf(c_15535,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK0,sK2),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5909,c_3713]) ).

tcf(c_15536,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6065,c_3713]) ).

tcf(c_15537,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6066,c_3713]) ).

tcf(c_15538,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK0,max(sK0,sK2)),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6891,c_3713]) ).

tcf(c_15543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X2,X3,X4)
      | lesseq(max(X4,X4),X1)
      | model_max(X0,X0,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3713,c_1405]) ).

tcf(c_15544,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(X1,X2,X3)
      | lesseq(max(X3,X3),X4)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_1496]) ).

tcf(c_15546,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(X0,X0,max(X2,X3))
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3713,c_1390]) ).

tcf(c_15547,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(X1,X1,max(X2,X3))
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3713,c_1376]) ).

tcf(c_15549,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,X2)
      | model_max(X2,X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3713,c_2108]) ).

tcf(c_15550,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,X2)
      | model_max(X2,X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3713,c_1956]) ).

tcf(c_15551,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,X2)
      | model_max(X2,X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3713,c_1585]) ).

tcf(c_15552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,X2)
      | model_max(X2,X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3713,c_1580]) ).

tcf(c_15553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X0,X0,X2)
      | lesseq(max(X3,X4),X1)
      | model_max(X2,X2,max(X3,X4))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3713,c_1405]) ).

tcf(c_15554,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | model_max(X4,X4,X0)
      | lesseq(max(X1,X2),X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_1496]) ).

tcf(c_15555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | model_max(X4,X4,X0)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_3116]) ).

tcf(c_15556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X0,X3)
      | model_max(X3,X3,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3713,c_1390]) ).

tcf(c_15557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X2,X3)
      | model_max(X3,X3,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_1376]) ).

tcf(c_15559,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | model_max(X0,X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_3713,c_1413]) ).

tcf(c_15564,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X4,X4,X3)
      | model_max(X0,X1,X4)
      | lesseq(max(X3,X3),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_3713,c_1405]) ).

tcf(c_15565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X4,X4,X0)
      | model_max(X2,X3,X4)
      | lesseq(X1,max(X2,X3))
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_3713,c_1496]) ).

tcf(c_15567,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),max(X2,X2)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_3713,c_1390]) ).

tcf(c_15568,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | ( max(max(X0,X0),max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_3713,c_1376]) ).

tcf(c_15575,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,max(X0,X0))
      | model_max(max(X0,X0),max(X0,X0),X0) ),
    inference(equality_factoring,[status(thm)],[c_3713]) ).

tcf(c_15738,plain,
    ! [X0: $i] :
      ( lesseq(max(X0,max(sK0,sK1)),sK2)
      | ~ lesseq(max(sK0,sK1),sK2)
      | ( sK2 != sK2 )
      | ( max(X0,max(sK0,sK1)) != max(sK0,sK1) ) ),
    inference(instantiation,[status(thm)],[c_10387]) ).

tcf(c_15739,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK0,sK1)) = max(sK0,sK1) )
      | ~ lesseq(X0,max(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_67]) ).

tcf(c_15740,plain,
    ( lesseq(max(sK0,max(sK0,sK1)),sK2)
    | ~ lesseq(max(sK0,sK1),sK2)
    | ( sK2 != sK2 )
    | ( max(sK0,max(sK0,sK1)) != max(sK0,sK1) ) ),
    inference(instantiation,[status(thm)],[c_15738]) ).

tcf(c_15741,plain,
    ( ( max(sK0,max(sK0,sK1)) = max(sK0,sK1) )
    | ~ lesseq(sK0,max(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_15739]) ).

tcf(c_15749,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = max(sK0,sK1) )
      | ( X1 != X0 )
      | ( max(sK0,sK1) != X0 ) ),
    inference(instantiation,[status(thm)],[c_743]) ).

tcf(c_15750,plain,
    ( ( sK0 = max(sK0,sK1) )
    | ( sK0 != sK0 )
    | ( max(sK0,sK1) != sK0 ) ),
    inference(instantiation,[status(thm)],[c_15749]) ).

tcf(c_15781,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_5496]) ).

tcf(c_15788,plain,
    ( lesseq(sK2,sK0)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_59,c_5496]) ).

tcf(c_15789,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_5496]) ).

tcf(c_15790,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_5496]) ).

tcf(c_15791,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_5496]) ).

tcf(c_15792,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_5496]) ).

tcf(c_15794,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_5496]) ).

tcf(c_15795,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_5496]) ).

tcf(c_15797,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_5496]) ).

tcf(c_15798,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_5496]) ).

tcf(c_15799,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_5496]) ).

tcf(c_15800,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_5496]) ).

tcf(c_15801,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_5496]) ).

tcf(c_15802,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_5496]) ).

tcf(c_15803,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1494,c_5496]) ).

tcf(c_15804,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_5496]) ).

tcf(c_15805,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK2,sK2,max(X0,X1))
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_5496]) ).

tcf(c_15806,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_5496]) ).

tcf(c_15807,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_5496]) ).

tcf(c_15907,plain,
    ( model_ub(sK0,sK1,sK2)
    | model_max(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_500,c_57]) ).

tcf(c_16080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_59,c_60]) ).

tcf(c_16238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_16080]) ).

tcf(c_16676,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_15907,c_16238]) ).

tcf(c_17647,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,max(X2,X0)),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_15027,c_1405]) ).

tcf(c_17648,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(X1,max(X0,X1)),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_15027,c_1496]) ).

tcf(c_17650,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(X0,max(X1,X0))) = X0 ) ),
    inference(superposition,[status(thm)],[c_15027,c_1390]) ).

tcf(c_17651,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(max(X0,max(X1,X0)),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_15027,c_1376]) ).

tcf(c_17696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_15524,c_1496]) ).

tcf(c_17697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_3116]) ).

tcf(c_17705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X2)
      | model_max(X0,X0,X3)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_1405]) ).

tcf(c_17706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X2)
      | model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_15524,c_1496]) ).

tcf(c_17708,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_15524,c_1390]) ).

tcf(c_17709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_15524,c_1376]) ).

tcf(c_17726,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | model_max(X0,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_17696,c_1375]) ).

tcf(c_17775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,max(X0,X2),X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2996,c_1437]) ).

tcf(c_17780,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,max(X0,X1),X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_1353]) ).

tcf(c_17781,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(X0,max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_2996,c_63]) ).

tcf(c_17782,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,max(X0,X2),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2996,c_62]) ).

tcf(c_17789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_3713]) ).

tcf(c_17790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_2539]) ).

tcf(c_17791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_2532]) ).

tcf(c_17792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_1497]) ).

tcf(c_17793,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_1851]) ).

tcf(c_17794,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_1351]) ).

tcf(c_17795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(X0,max(X0,X1),max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_1440]) ).

tcf(c_17848,plain,
    ( ( max(sK0,sK1) = sK0 )
    | ~ lesseq(sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_17952,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,max(X0,X2)),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_17780,c_1405]) ).

tcf(c_17953,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(max(X0,max(X0,X1)),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_17780,c_1496]) ).

tcf(c_17955,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X0,max(X0,X1))) = X0 ) ),
    inference(superposition,[status(thm)],[c_17780,c_1390]) ).

tcf(c_17956,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(max(X0,max(X0,X1)),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_17780,c_1376]) ).

tcf(c_18014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,max(X2,X0),X3)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3000,c_1437]) ).

tcf(c_18019,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,max(X1,X0),X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_1353]) ).

tcf(c_18020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(X0,max(X1,X0),X2) ),
    inference(superposition,[status(thm)],[c_3000,c_63]) ).

tcf(c_18021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,max(X2,X0),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3000,c_62]) ).

tcf(c_18023,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X0 )
      | ( max(X1,max(X0,X1)) = X1 )
      | ( max(max(X0,X1),X1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_3000,c_2995]) ).

tcf(c_18029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_3713]) ).

tcf(c_18030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_2539]) ).

tcf(c_18031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_2532]) ).

tcf(c_18032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_1497]) ).

tcf(c_18033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_1851]) ).

tcf(c_18034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_1351]) ).

tcf(c_18035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X0)
      | model_max(X0,max(X1,X0),max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_1440]) ).

tcf(c_18255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,max(X2,X0)),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_18019,c_1405]) ).

tcf(c_18256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(max(X0,max(X1,X0)),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_18019,c_1496]) ).

tcf(c_18258,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(X0,max(X0,max(X1,X0))) = X0 ) ),
    inference(superposition,[status(thm)],[c_18019,c_1390]) ).

tcf(c_18259,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(max(X0,max(X1,X0)),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_18019,c_1376]) ).

tcf(c_18311,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X0,max(X0,X2),X3)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3001,c_1437]) ).

tcf(c_18316,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,max(X1,X0),X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_1353]) ).

tcf(c_18317,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(X0,max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_3001,c_63]) ).

tcf(c_18318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,max(X0,X2),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3001,c_62]) ).

tcf(c_18327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_3713]) ).

tcf(c_18328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_2539]) ).

tcf(c_18329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_2532]) ).

tcf(c_18330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_1497]) ).

tcf(c_18331,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_1851]) ).

tcf(c_18332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_1351]) ).

tcf(c_18333,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,X1)
      | model_max(X1,max(X1,X0),max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_1440]) ).

tcf(c_18416,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,max(X0,X2)),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_18316,c_1405]) ).

tcf(c_18417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(max(X1,max(X1,X0)),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_18316,c_1496]) ).

tcf(c_18419,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(X0,max(X0,max(X0,X1))) = X0 ) ),
    inference(superposition,[status(thm)],[c_18316,c_1390]) ).

tcf(c_18420,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(max(X0,max(X0,X1)),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_18316,c_1376]) ).

tcf(c_18439,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | model_max(X3,X3,X4)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3525,c_55]) ).

tcf(c_18440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X0)
      | lesseq(X2,X5)
      | model_max(X3,X3,X4)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_2536]) ).

tcf(c_18442,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_1530]) ).

tcf(c_18443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X0,X2)
      | model_max(X3,X3,X4)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1476]) ).

tcf(c_18445,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X1,X2)
      | model_max(X3,X3,X4)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1461]) ).

tcf(c_18446,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_72]) ).

tcf(c_18448,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_60]) ).

tcf(c_18451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | model_max(X4,X4,X0)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X5)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3525,c_1437]) ).

tcf(c_18453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3525,c_1824]) ).

tcf(c_18454,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK2,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_5496]) ).

tcf(c_18455,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_6991]) ).

tcf(c_18456,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_5498]) ).

tcf(c_18457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X4,X4,X2)
      | model_max(X3,X3,X4)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3525,c_55]) ).

tcf(c_18458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X2,X3)
      | model_max(X3,X3,X4)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_2536]) ).

tcf(c_18459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X0)
      | lesseq(X3,X5)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_2529]) ).

tcf(c_18460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X0)
      | lesseq(X3,X5)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_1530]) ).

tcf(c_18461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X0,X4)
      | model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1476]) ).

tcf(c_18463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X1,X4)
      | model_max(X3,X3,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1461]) ).

tcf(c_18464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X2)
      | model_max(X3,X3,X1)
      | model_max(X2,X2,X3)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_72]) ).

tcf(c_18466,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X0,X2)
      | model_max(X3,X3,X4)
      | model_max(X2,X2,X3)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_60]) ).

tcf(c_18469,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | model_max(X3,X3,X0)
      | model_max(X1,X2,X4)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3525,c_1437]) ).

tcf(c_18471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3525,c_1824]) ).

tcf(c_18472,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_5496]) ).

tcf(c_18473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_6991]) ).

tcf(c_18474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_5498]) ).

tcf(c_18479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X0,X4)
      | model_max(X3,X3,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_1405]) ).

tcf(c_18480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_3525,c_1496]) ).

tcf(c_18482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | model_max(X2,X2,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1390]) ).

tcf(c_18483,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1376]) ).

tcf(c_18489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X4)
      | model_max(X0,X0,X3)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_1405]) ).

tcf(c_18490,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_3525,c_1496]) ).

tcf(c_18492,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1390]) ).

tcf(c_18493,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_1376]) ).

tcf(c_18920,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK3(sK0,sK1,sK2))
      | ~ lesseq(max(sK0,sK1),sK3(sK0,sK1,sK2))
      | ( X0 != max(sK0,sK1) )
      | ( sK3(sK0,sK1,sK2) != sK3(sK0,sK1,sK2) ) ),
    inference(instantiation,[status(thm)],[c_7401]) ).

tcf(c_19024,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5499,c_6892]) ).

tcf(c_19034,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,max(sK0,sK2))) = max(sK0,max(sK0,sK2)) )
    | ( max(max(sK0,max(sK0,sK2)),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6892,c_2861]) ).

tcf(c_19036,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK0,max(sK0,sK2)),sK0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6892,c_1437]) ).

tcf(c_19041,plain,
    ( model_max(max(sK0,max(sK0,sK2)),sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_1353]) ).

tcf(c_19042,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(max(sK0,max(sK0,sK2)),sK0,X0) ),
    inference(superposition,[status(thm)],[c_6892,c_63]) ).

tcf(c_19043,plain,
    ! [X0: $i] :
      ( model_max(max(sK0,max(sK0,sK2)),sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_6892,c_62]) ).

tcf(c_19053,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK0,max(sK0,sK2)),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_3713]) ).

tcf(c_19054,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(max(sK0,max(sK0,sK2)),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_2539]) ).

tcf(c_19055,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK0,max(sK0,sK2)),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_2532]) ).

tcf(c_19056,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK0,max(sK0,sK2)),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_1497]) ).

tcf(c_19057,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(max(sK0,max(sK0,sK2)),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_1851]) ).

tcf(c_19058,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(max(sK0,max(sK0,sK2)),sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_1351]) ).

tcf(c_19059,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(max(sK0,max(sK0,sK2)),sK0,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6892,c_1440]) ).

tcf(c_19159,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK2) = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_5834]) ).

tcf(c_19160,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK0,sK2),X0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_1438,c_5834]) ).

tcf(c_19163,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_5834]) ).

tcf(c_19164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3713,c_5834]) ).

tcf(c_19165,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_5834]) ).

tcf(c_19166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_5834]) ).

tcf(c_19167,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_5834]) ).

tcf(c_19168,plain,
    ( lesseq(sK0,max(sK0,sK2))
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1353,c_5834]) ).

tcf(c_19169,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1440,c_5834]) ).

tcf(c_19178,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK2,sK0) = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2111,c_5834]) ).

tcf(c_19183,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5833,c_5834]) ).

tcf(c_19184,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5840,c_5834]) ).

tcf(c_19313,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK2),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5835,c_1405]) ).

tcf(c_19314,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK2),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5835,c_1496]) ).

tcf(c_19316,plain,
    ! [X0: $i] :
      ( ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK0,sK2)) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5835,c_1390]) ).

tcf(c_19317,plain,
    ! [X0: $i] :
      ( ( max(sK0,sK1) = sK1 )
      | ( max(max(sK0,sK2),X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5835,c_1376]) ).

tcf(c_19392,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK2,sK0),X0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_5954]) ).

tcf(c_19395,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_5954]) ).

tcf(c_19396,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3713,c_5954]) ).

tcf(c_19397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_5954]) ).

tcf(c_19398,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_5954]) ).

tcf(c_19399,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_5954]) ).

tcf(c_19400,plain,
    ( lesseq(sK0,max(sK2,sK0))
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1353,c_5954]) ).

tcf(c_19401,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1440,c_5954]) ).

tcf(c_19415,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7475,c_5954]) ).

tcf(c_19417,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7483,c_5954]) ).

tcf(c_19461,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK0),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5955,c_1405]) ).

tcf(c_19462,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5955,c_1496]) ).

tcf(c_19464,plain,
    ! [X0: $i] :
      ( ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5955,c_1390]) ).

tcf(c_19465,plain,
    ! [X0: $i] :
      ( ( max(sK0,sK1) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5955,c_1376]) ).

tcf(c_19592,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19168,c_2529]) ).

tcf(c_19594,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_19168,c_1476]) ).

tcf(c_19595,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19168,c_3134]) ).

tcf(c_19596,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_19168,c_1461]) ).

tcf(c_19598,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19168,c_1402]) ).

tcf(c_19599,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_19168,c_60]) ).

tcf(c_19600,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,sK2),sK0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_19168,c_68]) ).

tcf(c_19601,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_19168,c_67]) ).

tcf(c_19602,plain,
    ( lesseq(sK2,max(sK0,sK2))
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19168,c_6991]) ).

tcf(c_19603,plain,
    ( lesseq(sK2,max(sK0,sK2))
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19168,c_5498]) ).

tcf(c_19804,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19400,c_2529]) ).

tcf(c_19806,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_19400,c_1476]) ).

tcf(c_19807,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19400,c_3134]) ).

tcf(c_19808,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_19400,c_1461]) ).

tcf(c_19810,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19400,c_1402]) ).

tcf(c_19811,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_19400,c_60]) ).

tcf(c_19812,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK2,sK0),sK0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_19400,c_68]) ).

tcf(c_19813,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_19400,c_67]) ).

tcf(c_19814,plain,
    ( lesseq(sK2,max(sK2,sK0))
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19400,c_6991]) ).

tcf(c_19815,plain,
    ( lesseq(sK2,max(sK2,sK0))
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19400,c_5498]) ).

tcf(c_19850,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_19603]) ).

tcf(c_19852,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK2,sK0) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_19603]) ).

tcf(c_19855,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19603,c_2536]) ).

tcf(c_19856,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19603,c_2529]) ).

tcf(c_19857,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19603,c_1530]) ).

tcf(c_19858,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_19603,c_1476]) ).

tcf(c_19859,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19603,c_3134]) ).

tcf(c_19860,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_19603,c_1461]) ).

tcf(c_19861,plain,
    ( ( max(sK0,sK2) = sK2 )
    | ( max(sK0,sK1) = sK1 )
    | ~ lesseq(max(sK0,sK2),sK2) ),
    inference(superposition,[status(thm)],[c_19603,c_72]) ).

tcf(c_19862,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,max(sK0,sK2))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19603,c_1402]) ).

tcf(c_19863,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_19603,c_60]) ).

tcf(c_19864,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK0,sK2),sK2) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_19603,c_68]) ).

tcf(c_19865,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK2,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_19603,c_67]) ).

tcf(c_19919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19815,c_2536]) ).

tcf(c_19920,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19815,c_2529]) ).

tcf(c_19921,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19815,c_1530]) ).

tcf(c_19922,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_19815,c_1476]) ).

tcf(c_19923,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19815,c_3134]) ).

tcf(c_19924,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_19815,c_1461]) ).

tcf(c_19925,plain,
    ( ( max(sK2,sK0) = sK2 )
    | ( max(sK0,sK1) = sK1 )
    | ~ lesseq(max(sK2,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_19815,c_72]) ).

tcf(c_19926,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19815,c_1402]) ).

tcf(c_19927,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_19815,c_60]) ).

tcf(c_19928,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(max(sK2,sK0),sK2) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_19815,c_68]) ).

tcf(c_19929,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK2,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_19815,c_67]) ).

tcf(c_19974,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X4,X4,X5)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_2536]) ).

tcf(c_19975,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X0)
      | lesseq(X4,X5)
      | lesseq(X1,X2)
      | model_max(X3,X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_2529]) ).

tcf(c_19977,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | lesseq(X0,X2)
      | model_max(X4,X4,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_1476]) ).

tcf(c_19978,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X1,X2)
      | model_max(X3,X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_3134]) ).

tcf(c_19979,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X4,X4,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3536,c_1461]) ).

tcf(c_19980,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,X1)
      | model_max(X0,X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_72]) ).

tcf(c_19982,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X2,X3)
      | model_max(X3,X3,X4)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_60]) ).

tcf(c_19985,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X0)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X5)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3536,c_1437]) ).

tcf(c_19991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,X4)
      | model_max(X4,X4,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3536,c_55]) ).

tcf(c_19992,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X2)
      | lesseq(X3,X0)
      | lesseq(X1,X4)
      | model_max(X4,X4,X5)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_2536]) ).

tcf(c_19998,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X2,X2,X1)
      | model_max(X0,X0,X3)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_72]) ).

tcf(c_20000,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X4)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_60]) ).

tcf(c_20001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X2,X2,X1)
      | model_max(X0,X0,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_68]) ).

tcf(c_20002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3536,c_67]) ).

tcf(c_20005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3536,c_1824]) ).

tcf(c_20006,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3536,c_5496]) ).

tcf(c_20007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3536,c_6991]) ).

tcf(c_20008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3536,c_5498]) ).

tcf(c_20023,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X0,X3)
      | model_max(X3,X3,X4)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_1405]) ).

tcf(c_20024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X1,X4)
      | model_max(X2,X2,X3)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_3536,c_1496]) ).

tcf(c_20026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_1390]) ).

tcf(c_20027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3536,c_1376]) ).

tcf(c_20261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_2536]) ).

tcf(c_20264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3660,c_1476]) ).

tcf(c_20265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_3134]) ).

tcf(c_20266,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_1461]) ).

tcf(c_20267,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_3660,c_72]) ).

tcf(c_20269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_3660,c_60]) ).

tcf(c_20270,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3660,c_68]) ).

tcf(c_20271,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3660,c_67]) ).

tcf(c_20272,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3660,c_1437]) ).

tcf(c_20273,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3660,c_62]) ).

tcf(c_20274,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_ub(sK0,sK1,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3660,c_1824]) ).

tcf(c_20275,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_5496]) ).

tcf(c_20276,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_6991]) ).

tcf(c_20277,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_5498]) ).

tcf(c_20278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3660,c_55]) ).

tcf(c_20279,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_2536]) ).

tcf(c_20280,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_2529]) ).

tcf(c_20281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_3660,c_1530]) ).

tcf(c_20282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3660,c_1476]) ).

tcf(c_20283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_3134]) ).

tcf(c_20284,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_1461]) ).

tcf(c_20285,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_72]) ).

tcf(c_20287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_60]) ).

tcf(c_20288,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3660,c_68]) ).

tcf(c_20289,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_67]) ).

tcf(c_20290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_ub(sK0,sK1,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_3660,c_1437]) ).

tcf(c_20291,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_3660,c_62]) ).

tcf(c_20293,plain,
    ( lesseq(sK2,sK2)
    | model_ub(sK0,sK1,sK2)
    | model_max(sK0,sK1,sK0)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_5496]) ).

tcf(c_20294,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_6991]) ).

tcf(c_20295,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_5498]) ).

tcf(c_20297,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_3660,c_1956]) ).

tcf(c_20299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_3660,c_1580]) ).

tcf(c_20300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3660,c_1405]) ).

tcf(c_20302,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_3660,c_3116]) ).

tcf(c_20305,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_ub(sK0,sK1,sK2)
      | minsol_model_ub(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_3660,c_488]) ).

tcf(c_20803,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_3663,c_2071]) ).

tcf(c_20836,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK0,max(sK0,sK2)),sK0) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6892,c_4120]) ).

tcf(c_20837,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,max(X2,X3))
      | lesseq(sK4(X0,X1,max(X2,X3)),X3)
      | ( max(X2,X3) = X2 )
      | ~ model_ub(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_4120,c_55]) ).

tcf(c_20838,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_2536]) ).

tcf(c_20839,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X4)
      | model_max(max(X0,X1),max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_2529]) ).

tcf(c_20840,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X4)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_1530]) ).

tcf(c_20841,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | ( max(X1,X2) = X1 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_1476]) ).

tcf(c_20842,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(max(X0,X1),max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_3134]) ).

tcf(c_20843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_1461]) ).

tcf(c_20844,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X1,X2) = X1 )
      | ( max(X1,X2) = X0 )
      | ~ lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_4120,c_72]) ).

tcf(c_20932,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,max(sK0,max(sK0,sK2))) = max(sK0,max(sK0,sK2)) ) ),
    inference(superposition,[status(thm)],[c_6891,c_4121]) ).

tcf(c_20934,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,max(X2,X3))
      | lesseq(sK4(X0,X1,max(X2,X3)),X2)
      | ( max(X2,X3) = X3 )
      | ~ model_ub(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_4121,c_55]) ).

tcf(c_20935,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_2536]) ).

tcf(c_20936,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | model_max(max(X0,X1),max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_2529]) ).

tcf(c_20937,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_1530]) ).

tcf(c_20938,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X3)
      | ( max(X1,X2) = X2 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_4121,c_1476]) ).

tcf(c_20939,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(max(X0,X1),max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_3134]) ).

tcf(c_20940,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_1461]) ).

tcf(c_20941,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,X2) = X2 )
      | ( max(X1,X2) = X0 )
      | ~ lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_4121,c_72]) ).

tcf(c_21076,plain,
    ( ( max(sK1,sK1) = sK1 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_7450]) ).

tcf(c_21077,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_7450,c_4121]) ).

tcf(c_21083,plain,
    ( ( max(sK1,sK1) = sK1 )
    | ( max(sK0,sK2) = sK0 )
    | ( max(max(sK1,sK0),sK1) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_7450,c_2865]) ).

tcf(c_21085,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK0,sK2) = sK0 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_7450,c_10774]) ).

tcf(c_21087,plain,
    ( model_max(sK1,sK1,sK1)
    | ( max(sK0,sK2) = sK0 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_7450,c_4543]) ).

tcf(c_21088,plain,
    ( ( max(sK1,sK1) = sK1 )
    | ( max(sK0,sK2) = sK0 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_7450,c_2861]) ).

tcf(c_21090,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,max(sK1,sK0),X1)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7450,c_1437]) ).

tcf(c_21095,plain,
    ( model_max(sK1,max(sK1,sK0),sK1)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_1353]) ).

tcf(c_21096,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ model_max(sK1,max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_7450,c_63]) ).

tcf(c_21097,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7450,c_62]) ).

tcf(c_21102,plain,
    ( model_max(sK1,sK1,sK1)
    | ( max(sK0,sK2) = sK0 )
    | ( max(max(sK1,sK0),sK1) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_7450,c_14802]) ).

tcf(c_21104,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK0,sK2) = sK0 )
    | ( max(max(sK1,sK0),sK1) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_7450,c_12517]) ).

tcf(c_21107,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_3713]) ).

tcf(c_21108,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_2539]) ).

tcf(c_21109,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_2532]) ).

tcf(c_21110,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_1497]) ).

tcf(c_21111,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_1851]) ).

tcf(c_21112,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_1351]) ).

tcf(c_21113,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(sK1,max(sK1,sK0),max(X0,X1))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7450,c_1440]) ).

tcf(c_21318,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_6989]) ).

tcf(c_21319,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_6989]) ).

tcf(c_21321,plain,
    ( lesseq(sK2,sK2)
    | model_ub(sK0,sK1,sK2)
    | model_max(sK0,sK1,sK0)
    | ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_6989]) ).

tcf(c_21327,plain,
    ( lesseq(sK2,sK0)
    | ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_59,c_6989]) ).

tcf(c_21328,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_6989]) ).

tcf(c_21329,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_6989]) ).

tcf(c_21331,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_6989]) ).

tcf(c_21332,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_6989]) ).

tcf(c_21334,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_6989]) ).

tcf(c_21335,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_6989]) ).

tcf(c_21337,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_6989]) ).

tcf(c_21338,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_6989]) ).

tcf(c_21339,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_6989]) ).

tcf(c_21340,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3349,c_6989]) ).

tcf(c_21341,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2411,c_6989]) ).

tcf(c_21342,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_6989]) ).

tcf(c_21343,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1494,c_6989]) ).

tcf(c_21344,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3536,c_6989]) ).

tcf(c_21345,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK2,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3525,c_6989]) ).

tcf(c_21346,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2535,c_6989]) ).

tcf(c_21347,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK2,sK2,max(X0,X1))
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_6989]) ).

tcf(c_21348,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1529,c_6989]) ).

tcf(c_21349,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_6989]) ).

tcf(c_21350,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3660,c_6989]) ).

tcf(c_21596,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_7275]) ).

tcf(c_21597,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_7275]) ).

tcf(c_21600,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_7275]) ).

tcf(c_21601,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_3713,c_7275]) ).

tcf(c_21602,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_7275]) ).

tcf(c_21603,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_7275]) ).

tcf(c_21604,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_7275]) ).

tcf(c_21605,plain,
    ( lesseq(sK1,max(sK1,sK0))
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1353,c_7275]) ).

tcf(c_21606,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1440,c_7275]) ).

tcf(c_21615,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_7275]) ).

tcf(c_21620,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7274,c_7275]) ).

tcf(c_21621,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7282,c_7275]) ).

tcf(c_21818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK0),X1)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_7276,c_1405]) ).

tcf(c_21819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK0),X1)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7276,c_1496]) ).

tcf(c_21821,plain,
    ! [X0: $i] :
      ( ( max(sK0,sK2) = sK0 )
      | ( max(X0,max(sK1,sK0)) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7276,c_1390]) ).

tcf(c_21822,plain,
    ! [X0: $i] :
      ( ( max(sK0,sK2) = sK0 )
      | ( max(max(sK1,sK0),X0) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7276,c_1376]) ).

tcf(c_21852,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_21605,c_2529]) ).

tcf(c_21854,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_21605,c_1476]) ).

tcf(c_21855,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_21605,c_3134]) ).

tcf(c_21856,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_21605,c_1461]) ).

tcf(c_21858,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_21605,c_1402]) ).

tcf(c_21859,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_21605,c_60]) ).

tcf(c_21860,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(max(sK1,sK0),sK1) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_21605,c_68]) ).

tcf(c_21861,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_21605,c_67]) ).

tcf(c_21900,plain,
    ( model_max(sK1,sK1,sK1)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6992,c_21095]) ).

tcf(c_21905,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,max(sK1,sK0)),X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_21095,c_1405]) ).

tcf(c_21906,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,max(sK1,sK0)),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_21095,c_1496]) ).

tcf(c_21908,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(sK1,max(sK1,max(sK1,sK0))) = sK1 ) ),
    inference(superposition,[status(thm)],[c_21095,c_1390]) ).

tcf(c_21909,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(max(sK1,max(sK1,sK0)),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_21095,c_1376]) ).

tcf(c_21949,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1) ),
    inference(global_subsumption_just,[status(thm)],[c_21621,c_2246]) ).

tcf(c_21983,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,max(X2,X3))
      | lesseq(sK4(X0,X1,max(X2,X3)),X3)
      | ( max(X3,X2) = X2 )
      | ~ model_ub(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_4125,c_55]) ).

tcf(c_21984,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_2536]) ).

tcf(c_21985,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | model_max(max(X1,X0),max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_2529]) ).

tcf(c_21986,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_1530]) ).

tcf(c_21987,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | ( max(X2,X1) = X1 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_4125,c_1476]) ).

tcf(c_21988,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(max(X1,X0),max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_3134]) ).

tcf(c_21989,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_1461]) ).

tcf(c_21990,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ( max(X2,X1) = X1 )
      | ( max(X1,X2) = X0 )
      | ~ lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_4125,c_72]) ).

tcf(c_22065,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( minsol_model_ub(X0,X1,max(X2,X3))
      | lesseq(sK4(X0,X1,max(X2,X3)),X2)
      | ( max(X3,X2) = X3 )
      | ~ model_ub(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_4126,c_55]) ).

tcf(c_22066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X1)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_2536]) ).

tcf(c_22067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X4)
      | model_max(max(X1,X0),max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_2529]) ).

tcf(c_22068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X4)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_1530]) ).

tcf(c_22069,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X3)
      | ( max(X2,X1) = X2 )
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_1476]) ).

tcf(c_22070,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(max(X1,X0),max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_3134]) ).

tcf(c_22071,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_1461]) ).

tcf(c_22072,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | ( max(X2,X1) = X2 )
      | ( max(X1,X2) = X0 )
      | ~ lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_4126,c_72]) ).

tcf(c_22165,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK0)
      | lesseq(max(sK0,sK2),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5839,c_1405]) ).

tcf(c_22166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5839,c_1496]) ).

tcf(c_22168,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_5839,c_1390]) ).

tcf(c_22169,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5839,c_1376]) ).

tcf(c_22170,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5839,c_5834]) ).

tcf(c_22175,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5839,c_1405]) ).

tcf(c_22176,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5839,c_1496]) ).

tcf(c_22178,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5839,c_1390]) ).

tcf(c_22179,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5839,c_1376]) ).

tcf(c_22184,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_22179,c_1375]) ).

tcf(c_22188,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_22178,c_1375]) ).

tcf(c_22251,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK0,sK2))
      | lesseq(sK4(X0,X1,max(sK0,sK2)),sK0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_ub(X0,X1,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_5906,c_55]) ).

tcf(c_22252,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5906,c_2536]) ).

tcf(c_22253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK0,sK2),max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5906,c_2529]) ).

tcf(c_22254,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5906,c_1530]) ).

tcf(c_22255,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_5906,c_1476]) ).

tcf(c_22256,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK0,sK2),max(sK0,sK2),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5906,c_3134]) ).

tcf(c_22257,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5906,c_1461]) ).

tcf(c_22258,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,sK2) = X0 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_5906,c_72]) ).

tcf(c_22311,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_5959,c_1405]) ).

tcf(c_22312,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5959,c_1496]) ).

tcf(c_22314,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_5959,c_1390]) ).

tcf(c_22315,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_5959,c_1376]) ).

tcf(c_22321,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_5959,c_1405]) ).

tcf(c_22322,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5959,c_1496]) ).

tcf(c_22324,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5959,c_1390]) ).

tcf(c_22325,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_5959,c_1376]) ).

tcf(c_22327,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_22325,c_1375]) ).

tcf(c_22331,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_22324,c_1375]) ).

tcf(c_22368,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK2,sK0))
      | lesseq(sK4(X0,X1,max(sK2,sK0)),sK0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_ub(X0,X1,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_6063,c_55]) ).

tcf(c_22369,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6063,c_2536]) ).

tcf(c_22370,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK2,sK0),max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6063,c_2529]) ).

tcf(c_22371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6063,c_1530]) ).

tcf(c_22372,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_6063,c_1476]) ).

tcf(c_22373,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK2,sK0),max(sK2,sK0),X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6063,c_3134]) ).

tcf(c_22374,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6063,c_1461]) ).

tcf(c_22375,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,sK0) = X0 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_6063,c_72]) ).

tcf(c_22455,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK1,sK0),X1)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_7281,c_1405]) ).

tcf(c_22456,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7281,c_1496]) ).

tcf(c_22458,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_7281,c_1390]) ).

tcf(c_22459,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_7281,c_1376]) ).

tcf(c_22460,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7281,c_7275]) ).

tcf(c_22465,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7281,c_1405]) ).

tcf(c_22466,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7281,c_1496]) ).

tcf(c_22468,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7281,c_1390]) ).

tcf(c_22469,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7281,c_1376]) ).

tcf(c_22474,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_22469,c_1375]) ).

tcf(c_22478,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_22468,c_1375]) ).

tcf(c_22563,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK1,sK0),sK1,X1)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7451,c_1437]) ).

tcf(c_22568,plain,
    ( model_max(max(sK1,sK0),sK1,sK1)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_1353]) ).

tcf(c_22569,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ model_max(max(sK1,sK0),sK1,X0) ),
    inference(superposition,[status(thm)],[c_7451,c_63]) ).

tcf(c_22570,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,sK0),sK1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_7451,c_62]) ).

tcf(c_22582,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_3713]) ).

tcf(c_22583,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_2539]) ).

tcf(c_22584,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_2532]) ).

tcf(c_22585,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_1497]) ).

tcf(c_22586,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_1851]) ).

tcf(c_22587,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_1351]) ).

tcf(c_22588,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(max(sK1,sK0),sK1,max(X0,X1))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7451,c_1440]) ).

tcf(c_22664,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK2,sK0) = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1905,c_7476]) ).

tcf(c_22666,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(max(sK2,sK0),X0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_7476]) ).

tcf(c_22669,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_7476]) ).

tcf(c_22670,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_3713,c_7476]) ).

tcf(c_22671,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2539,c_7476]) ).

tcf(c_22672,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2532,c_7476]) ).

tcf(c_22673,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1497,c_7476]) ).

tcf(c_22674,plain,
    ( lesseq(sK0,max(sK2,sK0))
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1353,c_7476]) ).

tcf(c_22675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1440,c_7476]) ).

tcf(c_22685,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1958,c_7476]) ).

tcf(c_22689,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7475,c_7476]) ).

tcf(c_22691,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5959,c_7476]) ).

tcf(c_22693,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7483,c_7476]) ).

tcf(c_22785,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK0),X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_7477,c_1405]) ).

tcf(c_22786,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7477,c_1496]) ).

tcf(c_22788,plain,
    ! [X0: $i] :
      ( ( max(sK1,sK0) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7477,c_1390]) ).

tcf(c_22789,plain,
    ! [X0: $i] :
      ( ( max(sK1,sK0) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7477,c_1376]) ).

tcf(c_22810,plain,
    ( ( max(max(sK0,sK1),sK2) = max(sK0,sK1) )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_11199,c_1555]) ).

tcf(c_22811,plain,
    ( ( max(max(sK0,sK1),sK2) = max(sK0,sK1) )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_11199,c_1554]) ).

tcf(c_22812,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_11199,c_1703]) ).

tcf(c_22821,plain,
    ( ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_11224,c_1555]) ).

tcf(c_22822,plain,
    ( ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_11224,c_1554]) ).

tcf(c_22823,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK2)
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_11224,c_1703]) ).

tcf(c_22841,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22674,c_2529]) ).

tcf(c_22843,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_22674,c_1476]) ).

tcf(c_22844,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22674,c_3134]) ).

tcf(c_22845,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_22674,c_1461]) ).

tcf(c_22847,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22674,c_1402]) ).

tcf(c_22848,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_22674,c_60]) ).

tcf(c_22849,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(max(sK2,sK0),sK0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_22674,c_68]) ).

tcf(c_22850,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_22674,c_67]) ).

tcf(c_22851,plain,
    ( lesseq(sK2,max(sK2,sK0))
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22674,c_6991]) ).

tcf(c_22912,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK2,sK0) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_22851]) ).

tcf(c_22917,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22851,c_2536]) ).

tcf(c_22918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22851,c_2529]) ).

tcf(c_22919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22851,c_1530]) ).

tcf(c_22920,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_22851,c_1476]) ).

tcf(c_22921,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22851,c_3134]) ).

tcf(c_22922,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_22851,c_1461]) ).

tcf(c_22923,plain,
    ( ( max(sK2,sK0) = sK2 )
    | ( max(sK1,sK0) = sK1 )
    | ~ lesseq(max(sK2,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_22851,c_72]) ).

tcf(c_22924,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,max(sK2,sK0))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22851,c_1402]) ).

tcf(c_22925,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_22851,c_60]) ).

tcf(c_22926,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(max(sK2,sK0),sK2) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_22851,c_68]) ).

tcf(c_22927,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK2,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_22851,c_67]) ).

tcf(c_23012,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK1,sK0),sK1),X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_22568,c_1405]) ).

tcf(c_23013,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(max(sK1,sK0),sK1),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_22568,c_1496]) ).

tcf(c_23015,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(sK1,max(max(sK1,sK0),sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22568,c_1390]) ).

tcf(c_23016,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(max(max(sK1,sK0),sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22568,c_1376]) ).

tcf(c_23042,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK1,sK0))
      | lesseq(sK4(X0,X1,max(sK1,sK0)),sK1)
      | ( max(sK0,sK2) = sK0 )
      | ~ model_ub(X0,X1,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_7448,c_55]) ).

tcf(c_23043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7448,c_2536]) ).

tcf(c_23044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7448,c_2529]) ).

tcf(c_23045,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7448,c_1530]) ).

tcf(c_23046,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_7448,c_1476]) ).

tcf(c_23047,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7448,c_3134]) ).

tcf(c_23048,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK0,sK2) = sK0 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_7448,c_1461]) ).

tcf(c_23049,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK1,sK0) = X0 )
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_7448,c_72]) ).

tcf(c_23130,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_7482,c_1405]) ).

tcf(c_23131,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_1496]) ).

tcf(c_23133,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_7482,c_1390]) ).

tcf(c_23134,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_7482,c_1376]) ).

tcf(c_23135,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_7476]) ).

tcf(c_23141,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7482,c_1405]) ).

tcf(c_23142,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_1496]) ).

tcf(c_23144,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7482,c_1390]) ).

tcf(c_23145,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_7482,c_1376]) ).

tcf(c_23150,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_23145,c_1375]) ).

tcf(c_23154,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_23144,c_1375]) ).

tcf(c_23294,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK2,sK0))
      | lesseq(sK4(X0,X1,max(sK2,sK0)),sK0)
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(X0,X1,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_7577,c_55]) ).

tcf(c_23295,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7577,c_2536]) ).

tcf(c_23296,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK2,sK0),max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7577,c_2529]) ).

tcf(c_23297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7577,c_1530]) ).

tcf(c_23298,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_7577,c_1476]) ).

tcf(c_23299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK2,sK0),max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7577,c_3134]) ).

tcf(c_23300,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_7577,c_1461]) ).

tcf(c_23301,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,sK0) = X0 )
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_7577,c_72]) ).

tcf(c_23357,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_6993,c_7579]) ).

tcf(c_23365,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(max(sK2,sK0),sK0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_7579,c_2865]) ).

tcf(c_23370,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_7579,c_2861]) ).

tcf(c_23372,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,max(sK2,sK0),X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7579,c_1437]) ).

tcf(c_23377,plain,
    ( model_max(sK0,max(sK2,sK0),sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_1353]) ).

tcf(c_23378,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ model_max(sK0,max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_7579,c_63]) ).

tcf(c_23379,plain,
    ! [X0: $i] :
      ( model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7579,c_62]) ).

tcf(c_23391,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_3713]) ).

tcf(c_23392,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_2539]) ).

tcf(c_23393,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_2532]) ).

tcf(c_23394,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_1497]) ).

tcf(c_23395,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_1851]) ).

tcf(c_23396,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,max(sK2,sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_1351]) ).

tcf(c_23397,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK0,max(sK2,sK0),max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7579,c_1440]) ).

tcf(c_23472,plain,
    ( model_max(sK0,sK0,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6993,c_23377]) ).

tcf(c_23478,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,max(sK2,sK0)),X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_23377,c_1405]) ).

tcf(c_23479,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,max(sK2,sK0)),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_23377,c_1496]) ).

tcf(c_23481,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,max(sK0,max(sK2,sK0))) = sK0 ) ),
    inference(superposition,[status(thm)],[c_23377,c_1390]) ).

tcf(c_23482,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(max(sK0,max(sK2,sK0)),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_23377,c_1376]) ).

tcf(c_23522,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK2,sK0),sK0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7580,c_1437]) ).

tcf(c_23527,plain,
    ( model_max(max(sK2,sK0),sK0,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_1353]) ).

tcf(c_23528,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ model_max(max(sK2,sK0),sK0,X0) ),
    inference(superposition,[status(thm)],[c_7580,c_63]) ).

tcf(c_23529,plain,
    ! [X0: $i] :
      ( model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7580,c_62]) ).

tcf(c_23541,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_3713]) ).

tcf(c_23542,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_2539]) ).

tcf(c_23543,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_2532]) ).

tcf(c_23544,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_1497]) ).

tcf(c_23545,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_1851]) ).

tcf(c_23546,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(max(sK2,sK0),sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_1351]) ).

tcf(c_23547,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(max(sK2,sK0),sK0,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7580,c_1440]) ).

tcf(c_23628,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK2,sK0),sK0),X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_23527,c_1405]) ).

tcf(c_23629,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(max(sK2,sK0),sK0),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_23527,c_1496]) ).

tcf(c_23631,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,max(max(sK2,sK0),sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_23527,c_1390]) ).

tcf(c_23632,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(max(max(sK2,sK0),sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_23527,c_1376]) ).

tcf(c_23652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( minsol_model_ub(X1,X2,sK5(X3,X4,X0))
      | ~ model_ub(X3,X4,X0)
      | ~ model_ub(X1,X2,sK5(X3,X4,X0))
      | ~ lesseq(X0,sK4(X1,X2,sK5(X3,X4,X0))) ),
    inference(superposition,[status(thm)],[c_1553,c_55]) ).

tcf(c_23653,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | model_max(X4,X4,X5)
      | lesseq(sK5(X0,X1,X2),X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_2536]) ).

tcf(c_23654,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_2529]) ).

tcf(c_23655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | lesseq(sK5(X0,X1,X2),X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_1530]) ).

tcf(c_23656,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | ( max(X4,sK5(X0,X1,X2)) = X4 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_1476]) ).

tcf(c_23657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_3134]) ).

tcf(c_23658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | ( max(sK5(X0,X1,X2),X4) = X4 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_1461]) ).

tcf(c_23659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK5(X1,X2,X3) = X0 )
      | ~ lesseq(X3,X0)
      | ~ model_ub(X1,X2,X3)
      | ~ lesseq(X0,sK5(X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_1553,c_72]) ).

tcf(c_23660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(sK5(X0,X1,X2),X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_1402]) ).

tcf(c_23661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK5(X0,X1,X2),X4)
      | ~ lesseq(X3,X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_60]) ).

tcf(c_23662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_68]) ).

tcf(c_23663,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_67]) ).

tcf(c_23720,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X1,X5)
      | model_max(X4,X4,X3)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3525,c_1733]) ).

tcf(c_23722,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X3)
      | lesseq(X1,X5)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1529,c_1733]) ).

tcf(c_23723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3660,c_1733]) ).

tcf(c_23730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X4)
      | model_max(X4,X4,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2537,c_1733]) ).

tcf(c_23731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X1,X4)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1491,c_1733]) ).

tcf(c_23733,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | lesseq(X1,X4)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2535,c_1733]) ).

tcf(c_23734,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X4)
      | model_max(X4,X4,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2538,c_1733]) ).

tcf(c_23736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X1,X4)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2411,c_1733]) ).

tcf(c_23737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X1,X4)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1493,c_1733]) ).

tcf(c_23740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_1733]) ).

tcf(c_23741,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X4)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ( max(X3,X4) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2530,c_1733]) ).

tcf(c_23743,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X2,sK5(X0,sK5(X1,X2,X3),X4))
      | ~ model_ub(X1,X2,X3)
      | ~ model_ub(X0,sK5(X1,X2,X3),X4) ),
    inference(superposition,[status(thm)],[c_1652,c_1733]) ).

tcf(c_23744,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,sK5(sK5(X0,X1,X2),X3,X4))
      | ~ model_ub(X0,X1,X2)
      | ~ model_ub(sK5(X0,X1,X2),X3,X4) ),
    inference(superposition,[status(thm)],[c_1653,c_1733]) ).

tcf(c_23745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_1733]) ).

tcf(c_23746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_1733]) ).

tcf(c_23747,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( model_max(X4,X5,X3)
      | lesseq(X1,max(X4,X5))
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2532,c_1733]) ).

tcf(c_23750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X3)
      | model_max(X4,X4,sK5(X0,X1,X2))
      | ( max(X3,X4) = X4 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2531,c_1733]) ).

tcf(c_23751,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,X4)
      | model_max(X4,X4,X3)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3349,c_1733]) ).

tcf(c_23755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X1,X4)
      | model_max(X4,X4,X5)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3536,c_1733]) ).

tcf(c_23756,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X1,X4)
      | model_max(X5,X5,X3)
      | model_max(X4,X4,X5)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3525,c_1733]) ).

tcf(c_23758,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X1,X5)
      | model_max(X5,X5,max(X3,X4))
      | model_max(X3,X4,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2539,c_1733]) ).

tcf(c_23760,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X1,X5)
      | lesseq(X5,max(X3,X4))
      | model_max(X3,X4,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1497,c_1733]) ).

tcf(c_23761,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X1,max(sK0,sK1))
      | model_max(sK2,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3542,c_1733]) ).

tcf(c_23763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X4,sK5(X0,X1,X2))
      | lesseq(X0,sK5(X3,X4,X5))
      | ~ model_ub(X3,X4,X5)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_1733]) ).

tcf(c_23764,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X4,sK5(X0,X1,X2))
      | lesseq(X1,sK5(X3,X4,X5))
      | ~ model_ub(X3,X4,X5)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_1733]) ).

tcf(c_23767,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3660,c_1733]) ).

tcf(c_23768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,max(X3,sK5(X0,X1,X2)))
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_10422,c_1733]) ).

tcf(c_23769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,max(sK5(X0,X1,X2),X3))
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_10774,c_1733]) ).

tcf(c_23770,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,max(X3,sK5(X0,X1,X2)))
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_12029,c_1733]) ).

tcf(c_23771,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,max(sK5(X0,X1,X2),X3))
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_12517,c_1733]) ).

tcf(c_24043,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_10418,c_23740]) ).

tcf(c_24044,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_12025,c_23740]) ).

tcf(c_24049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(X1,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_23740]) ).

tcf(c_24050,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_11224,c_23740]) ).

tcf(c_24051,plain,
    ( lesseq(sK1,sK2)
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_11199,c_23740]) ).

tcf(c_24052,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_13811,c_23740]) ).

tcf(c_24053,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_11348,c_23740]) ).

tcf(c_24054,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK1,sK2) ),
    inference(superposition,[status(thm)],[c_8495,c_23740]) ).

tcf(c_24055,plain,
    ( lesseq(sK1,sK2)
    | ( max(sK2,max(sK0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2985,c_23740]) ).

tcf(c_24056,plain,
    ( lesseq(sK1,sK2)
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2850,c_23740]) ).

tcf(c_24074,plain,
    ( minsol_model_ub(sK0,sK0,sK0)
    | lesseq(sK0,sK4(sK0,sK0,sK0))
    | ~ model_ub(sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_24049]) ).

tcf(c_24081,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X0,X5)
      | model_max(X4,X4,X3)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3525,c_1762]) ).

tcf(c_24083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X4)
      | lesseq(X4,X3)
      | lesseq(X0,X5)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1529,c_1762]) ).

tcf(c_24084,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3660,c_1762]) ).

tcf(c_24091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X4)
      | model_max(X4,X4,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2537,c_1762]) ).

tcf(c_24092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X0,X4)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1491,c_1762]) ).

tcf(c_24094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X4,X5)
      | lesseq(X0,X4)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2535,c_1762]) ).

tcf(c_24095,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X4)
      | model_max(X4,X4,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2538,c_1762]) ).

tcf(c_24097,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X0,X4)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2411,c_1762]) ).

tcf(c_24098,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | lesseq(X0,X4)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1493,c_1762]) ).

tcf(c_24101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_1762]) ).

tcf(c_24102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X4)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ( max(X3,X4) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2530,c_1762]) ).

tcf(c_24104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X1,sK5(X0,sK5(X1,X2,X3),X4))
      | ~ model_ub(X1,X2,X3)
      | ~ model_ub(X0,sK5(X1,X2,X3),X4) ),
    inference(superposition,[status(thm)],[c_1652,c_1762]) ).

tcf(c_24105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,sK5(sK5(X0,X1,X2),X3,X4))
      | ~ model_ub(X0,X1,X2)
      | ~ model_ub(sK5(X0,X1,X2),X3,X4) ),
    inference(superposition,[status(thm)],[c_1653,c_1762]) ).

tcf(c_24106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_1762]) ).

tcf(c_24107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X0,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_1762]) ).

tcf(c_24108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( model_max(X4,X5,X3)
      | lesseq(X0,max(X4,X5))
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2532,c_1762]) ).

tcf(c_24111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X3)
      | model_max(X4,X4,sK5(X0,X1,X2))
      | ( max(X3,X4) = X4 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2531,c_1762]) ).

tcf(c_24112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X0,X4)
      | model_max(X4,X4,X3)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3349,c_1762]) ).

tcf(c_24116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X5,X3)
      | lesseq(X0,X4)
      | model_max(X4,X4,X5)
      | model_max(X3,X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3536,c_1762]) ).

tcf(c_24117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X0,X4)
      | model_max(X5,X5,X3)
      | model_max(X4,X4,X5)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3525,c_1762]) ).

tcf(c_24119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X0,X5)
      | model_max(X5,X5,max(X3,X4))
      | model_max(X3,X4,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2539,c_1762]) ).

tcf(c_24121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X0,X5)
      | lesseq(X5,max(X3,X4))
      | model_max(X3,X4,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1497,c_1762]) ).

tcf(c_24122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1))
      | model_max(sK2,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3542,c_1762]) ).

tcf(c_24124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X3,sK5(X0,X1,X2))
      | lesseq(X0,sK5(X3,X4,X5))
      | ~ model_ub(X3,X4,X5)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_1762]) ).

tcf(c_24125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( lesseq(X3,sK5(X0,X1,X2))
      | lesseq(X1,sK5(X3,X4,X5))
      | ~ model_ub(X3,X4,X5)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_1762]) ).

tcf(c_24128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3660,c_1762]) ).

tcf(c_24129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,max(X3,sK5(X0,X1,X2)))
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_10422,c_1762]) ).

tcf(c_24130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,max(sK5(X0,X1,X2),X3))
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_10774,c_1762]) ).

tcf(c_24131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,max(X3,sK5(X0,X1,X2)))
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_12029,c_1762]) ).

tcf(c_24132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,max(sK5(X0,X1,X2),X3))
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_12517,c_1762]) ).

tcf(c_24417,plain,
    lesseq(sK1,sK2),
    inference(global_subsumption_just,[status(thm)],[c_24054,c_73,c_80,c_81,c_83,c_85,c_599,c_1875,c_2891,c_2974,c_3626,c_5344,c_6543,c_7938,c_8488,c_8937,c_9378,c_15750,c_24043,c_24053,c_24074]) ).

tcf(c_24419,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24417,c_2536]) ).

tcf(c_24420,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24417,c_2529]) ).

tcf(c_24421,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24417,c_1530]) ).

tcf(c_24422,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24417,c_1476]) ).

tcf(c_24423,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24417,c_3134]) ).

tcf(c_24424,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24417,c_1461]) ).

tcf(c_24425,plain,
    ( ( sK1 = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_24417,c_72]) ).

tcf(c_24426,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_24417,c_1402]) ).

tcf(c_24427,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24417,c_60]) ).

tcf(c_24428,plain,
    max(sK2,sK1) = sK2,
    inference(superposition,[status(thm)],[c_24417,c_68]) ).

tcf(c_24429,plain,
    max(sK1,sK2) = sK2,
    inference(superposition,[status(thm)],[c_24417,c_67]) ).

tcf(c_24452,plain,
    ( lesseq(sK1,sK0)
    | ~ lesseq(sK2,sK0) ),
    inference(instantiation,[status(thm)],[c_24427]) ).

tcf(c_24455,plain,
    ( lesseq(sK0,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(instantiation,[status(thm)],[c_24422]) ).

tcf(c_24509,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),sK2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_24426,c_55]) ).

tcf(c_24511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24426,c_2529]) ).

tcf(c_24513,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24426,c_1476]) ).

tcf(c_24515,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24426,c_1461]) ).

tcf(c_24516,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24426,c_72]) ).

tcf(c_24518,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24426,c_60]) ).

tcf(c_24521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24426,c_2536]) ).

tcf(c_24522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24426,c_2529]) ).

tcf(c_24523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24426,c_1530]) ).

tcf(c_24524,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24426,c_1476]) ).

tcf(c_24526,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24426,c_1461]) ).

tcf(c_24527,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24426,c_72]) ).

tcf(c_24529,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24426,c_60]) ).

tcf(c_24530,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24426,c_68]) ).

tcf(c_24531,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24426,c_67]) ).

tcf(c_24532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24426,c_1437]) ).

tcf(c_24533,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24426,c_62]) ).

tcf(c_24534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24426,c_1762]) ).

tcf(c_24535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24426,c_1733]) ).

tcf(c_24536,plain,
    ( lesseq(sK2,sK2)
    | minsol_model_ub(sK0,sK1,sK2)
    | lesseq(sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24426,c_1824]) ).

tcf(c_24537,plain,
    ( lesseq(sK1,sK0)
    | ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24426,c_6989]) ).

tcf(c_24538,plain,
    ( lesseq(sK1,sK0)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24426,c_5496]) ).

tcf(c_24539,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24426,c_6991]) ).

tcf(c_24540,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24426,c_5498]) ).

tcf(c_24662,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_4121]) ).

tcf(c_24668,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_2865]) ).

tcf(c_24670,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_10774]) ).

tcf(c_24672,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_4543]) ).

tcf(c_24673,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_2861]) ).

tcf(c_24675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24428,c_1437]) ).

tcf(c_24680,plain,
    model_max(sK2,sK1,sK2),
    inference(superposition,[status(thm)],[c_24428,c_1353]) ).

tcf(c_24681,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24428,c_63]) ).

tcf(c_24682,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24428,c_62]) ).

tcf(c_24683,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_4126]) ).

tcf(c_24689,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_14802]) ).

tcf(c_24691,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24428,c_12517]) ).

tcf(c_24694,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24428,c_3713]) ).

tcf(c_24695,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24428,c_2539]) ).

tcf(c_24696,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24428,c_2532]) ).

tcf(c_24697,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24428,c_1497]) ).

tcf(c_24698,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24428,c_1851]) ).

tcf(c_24699,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24428,c_1351]) ).

tcf(c_24700,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24428,c_1440]) ).

tcf(c_24709,plain,
    ( lesseq(sK2,sK2)
    | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_24691,c_24429]) ).

tcf(c_24716,plain,
    ( model_max(sK2,sK2,sK2)
    | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_24689,c_24429]) ).

tcf(c_24730,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_24683,c_24429]) ).

tcf(c_24734,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_24673,c_24428]) ).

tcf(c_24739,plain,
    ( model_max(sK2,sK1,sK0)
    | ~ lesseq(sK2,sK0) ),
    inference(instantiation,[status(thm)],[c_24682]) ).

tcf(c_24782,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24680,c_1405]) ).

tcf(c_24783,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24680,c_1496]) ).

tcf(c_24785,plain,
    max(sK2,max(sK2,sK1)) = sK2,
    inference(superposition,[status(thm)],[c_24680,c_1390]) ).

tcf(c_24786,plain,
    max(max(sK2,sK1),sK2) = sK2,
    inference(superposition,[status(thm)],[c_24680,c_1376]) ).

tcf(c_24787,plain,
    max(sK2,sK2) = sK2,
    inference(light_normalisation,[status(thm)],[c_24786,c_24428]) ).

tcf(c_24817,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24429,c_1437]) ).

tcf(c_24822,plain,
    model_max(sK1,sK2,sK2),
    inference(superposition,[status(thm)],[c_24429,c_1353]) ).

tcf(c_24823,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24429,c_63]) ).

tcf(c_24824,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24429,c_62]) ).

tcf(c_24836,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24429,c_3713]) ).

tcf(c_24837,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24429,c_2539]) ).

tcf(c_24838,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24429,c_2532]) ).

tcf(c_24839,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24429,c_1497]) ).

tcf(c_24840,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24429,c_1851]) ).

tcf(c_24841,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24429,c_1351]) ).

tcf(c_24842,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24429,c_1440]) ).

tcf(c_24870,plain,
    ( model_max(sK1,sK2,sK0)
    | ~ lesseq(sK2,sK0) ),
    inference(instantiation,[status(thm)],[c_24824]) ).

tcf(c_24914,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK2),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24822,c_1405]) ).

tcf(c_24915,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_24822,c_1496]) ).

tcf(c_24917,plain,
    max(sK2,max(sK1,sK2)) = sK2,
    inference(superposition,[status(thm)],[c_24822,c_1390]) ).

tcf(c_24918,plain,
    max(max(sK1,sK2),sK2) = sK2,
    inference(superposition,[status(thm)],[c_24822,c_1376]) ).

tcf(c_24931,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24423,c_1405]) ).

tcf(c_24932,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24423,c_1496]) ).

tcf(c_24934,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24423,c_1390]) ).

tcf(c_24935,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24423,c_1376]) ).

tcf(c_24950,plain,
    model_ub(sK0,sK1,sK2),
    inference(global_subsumption_just,[status(thm)],[c_16676,c_73,c_80,c_81,c_83,c_85,c_599,c_1875,c_2891,c_2974,c_3626,c_5326,c_5344,c_6543,c_6811,c_7938,c_8465,c_8488,c_8937,c_9378,c_9402,c_10603,c_15750,c_24043,c_24053,c_24074,c_24455]) ).

tcf(c_24998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24427]) ).

tcf(c_25000,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_24427]) ).

tcf(c_25008,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_24427]) ).

tcf(c_25009,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_24427]) ).

tcf(c_25011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_24427]) ).

tcf(c_25012,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_24427]) ).

tcf(c_25014,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_24427]) ).

tcf(c_25015,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_24427]) ).

tcf(c_25018,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_24427]) ).

tcf(c_25020,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_24427]) ).

tcf(c_25021,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_24427]) ).

tcf(c_25022,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_24427]) ).

tcf(c_25023,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_24427]) ).

tcf(c_25024,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_24427]) ).

tcf(c_25025,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5486,c_24427]) ).

tcf(c_25026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_24427]) ).

tcf(c_25029,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_24427]) ).

tcf(c_25030,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_24427]) ).

tcf(c_25034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_24427]) ).

tcf(c_25035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24427]) ).

tcf(c_25037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_24427]) ).

tcf(c_25039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_24427]) ).

tcf(c_25045,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | lesseq(sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1805,c_24427]) ).

tcf(c_25046,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_24427]) ).

tcf(c_25047,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_24427]) ).

tcf(c_25051,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_24427]) ).

tcf(c_25052,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_24427]) ).

tcf(c_25053,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_24427]) ).

tcf(c_25054,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_24427]) ).

tcf(c_25055,plain,
    ( lesseq(sK1,max(sK0,sK2))
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19603,c_24427]) ).

tcf(c_25056,plain,
    ( lesseq(sK1,max(sK2,sK0))
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_22851,c_24427]) ).

tcf(c_25057,plain,
    ( lesseq(sK1,max(sK2,sK0))
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_19815,c_24427]) ).

tcf(c_25227,plain,
    ! [X0: $i] :
      ( ub(X0,sK2,sK1)
      | ~ ub(X0,sK2,max(sK0,sK1))
      | ( sK1 != max(sK0,sK1) ) ),
    inference(instantiation,[status(thm)],[c_7911]) ).

tcf(c_25235,plain,
    ( ub(sK0,sK2,sK1)
    | ~ ub(sK0,sK2,max(sK0,sK1))
    | ( sK1 != max(sK0,sK1) ) ),
    inference(instantiation,[status(thm)],[c_25227]) ).

tcf(c_25307,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24699,c_1405]) ).

tcf(c_25308,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24699,c_1496]) ).

tcf(c_25310,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24699,c_1390]) ).

tcf(c_25311,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24699,c_1376]) ).

tcf(c_25312,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_25311,c_24428]) ).

tcf(c_25315,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_25310,c_24428]) ).

tcf(c_25318,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_25308,c_24428]) ).

tcf(c_25322,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_25307,c_24428]) ).

tcf(c_25336,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24841,c_1405]) ).

tcf(c_25337,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_24841,c_1496]) ).

tcf(c_25339,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24841,c_1390]) ).

tcf(c_25340,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24841,c_1376]) ).

tcf(c_25349,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(X0,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_24101]) ).

tcf(c_25350,plain,
    ( lesseq(sK0,sK2)
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_11224,c_24101]) ).

tcf(c_25351,plain,
    ( lesseq(sK0,sK2)
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_11199,c_24101]) ).

tcf(c_25352,plain,
    ( lesseq(sK0,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_13811,c_24101]) ).

tcf(c_25353,plain,
    ( lesseq(sK0,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_11348,c_24101]) ).

tcf(c_25354,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK2) ),
    inference(superposition,[status(thm)],[c_8495,c_24101]) ).

tcf(c_25355,plain,
    ( lesseq(sK0,sK2)
    | ( max(sK2,max(sK0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2985,c_24101]) ).

tcf(c_25356,plain,
    ( lesseq(sK0,sK2)
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2850,c_24101]) ).

tcf(c_25393,plain,
    lesseq(sK0,sK2),
    inference(global_subsumption_just,[status(thm)],[c_25354,c_73,c_1875,c_2072,c_2891,c_3364,c_5341,c_6233,c_12289,c_24417,c_24455,c_25235,c_25353]) ).

tcf(c_25395,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6989,c_25393]) ).

tcf(c_25396,plain,
    ( ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5496,c_25393]) ).

tcf(c_25401,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25393,c_2536]) ).

tcf(c_25402,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25393,c_2529]) ).

tcf(c_25403,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25393,c_1530]) ).

tcf(c_25404,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25393,c_1476]) ).

tcf(c_25405,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25393,c_3134]) ).

tcf(c_25406,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25393,c_1461]) ).

tcf(c_25407,plain,
    ( ( sK0 = sK2 )
    | ~ lesseq(sK2,sK0) ),
    inference(superposition,[status(thm)],[c_25393,c_72]) ).

tcf(c_25408,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_25393,c_1402]) ).

tcf(c_25409,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25393,c_60]) ).

tcf(c_25410,plain,
    max(sK2,sK0) = sK2,
    inference(superposition,[status(thm)],[c_25393,c_68]) ).

tcf(c_25411,plain,
    max(sK0,sK2) = sK2,
    inference(superposition,[status(thm)],[c_25393,c_67]) ).

tcf(c_25412,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25393,c_6991]) ).

tcf(c_25413,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25393,c_5498]) ).

tcf(c_25437,plain,
    ( model_max(sK0,sK2,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(demodulation,[status(thm)],[c_23377,c_25410]) ).

tcf(c_25453,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_7448,c_25411]) ).

tcf(c_25454,plain,
    ( model_max(max(sK1,sK0),sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_22568,c_25411]) ).

tcf(c_25455,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK0),sK1) = sK1 ) ),
    inference(demodulation,[status(thm)],[c_7451,c_25411]) ).

tcf(c_25456,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_7281,c_25411]) ).

tcf(c_25458,plain,
    ( model_max(sK1,max(sK1,sK0),sK1)
    | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_21095,c_25411]) ).

tcf(c_25459,plain,
    ( lesseq(sK1,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_21605,c_25411]) ).

tcf(c_25460,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(demodulation,[status(thm)],[c_7276,c_25411]) ).

tcf(c_25461,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,sK0,X0) ),
    inference(demodulation,[status(thm)],[c_7275,c_25411]) ).

tcf(c_25462,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK1,sK0)) = sK1 ) ),
    inference(demodulation,[status(thm)],[c_7450,c_25411]) ).

tcf(c_25467,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_7282,c_25411]) ).

tcf(c_25470,plain,
    ( model_max(sK1,sK0,sK1)
    | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_7274,c_25411]) ).

tcf(c_25524,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_4121]) ).

tcf(c_25530,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_2865]) ).

tcf(c_25532,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_10774]) ).

tcf(c_25534,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_4543]) ).

tcf(c_25535,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_2861]) ).

tcf(c_25537,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25410,c_1437]) ).

tcf(c_25542,plain,
    model_max(sK2,sK0,sK2),
    inference(superposition,[status(thm)],[c_25410,c_1353]) ).

tcf(c_25543,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25410,c_63]) ).

tcf(c_25544,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25410,c_62]) ).

tcf(c_25545,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_4126]) ).

tcf(c_25551,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_14802]) ).

tcf(c_25553,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25410,c_12517]) ).

tcf(c_25556,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25410,c_3713]) ).

tcf(c_25557,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25410,c_2539]) ).

tcf(c_25558,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25410,c_2532]) ).

tcf(c_25559,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25410,c_1497]) ).

tcf(c_25560,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25410,c_1851]) ).

tcf(c_25561,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25410,c_1351]) ).

tcf(c_25562,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25410,c_1440]) ).

tcf(c_25571,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_25553,c_25411]) ).

tcf(c_25578,plain,
    ( model_max(sK2,sK2,sK2)
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_25551,c_25411]) ).

tcf(c_25592,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_25545,c_25411]) ).

tcf(c_25596,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_25535,c_25410]) ).

tcf(c_25600,plain,
    ( model_max(sK2,sK0,sK0)
    | ~ lesseq(sK2,sK0) ),
    inference(instantiation,[status(thm)],[c_25544]) ).

tcf(c_25619,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25411,c_1437]) ).

tcf(c_25624,plain,
    model_max(sK0,sK2,sK2),
    inference(superposition,[status(thm)],[c_25411,c_1353]) ).

tcf(c_25625,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25411,c_63]) ).

tcf(c_25626,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25411,c_62]) ).

tcf(c_25638,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25411,c_3713]) ).

tcf(c_25639,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25411,c_2539]) ).

tcf(c_25640,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25411,c_2532]) ).

tcf(c_25641,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25411,c_1497]) ).

tcf(c_25642,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25411,c_1851]) ).

tcf(c_25643,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25411,c_1351]) ).

tcf(c_25644,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25411,c_1440]) ).

tcf(c_25678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_25409]) ).

tcf(c_25679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_25409]) ).

tcf(c_25680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_25409]) ).

tcf(c_25684,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1387,c_25409]) ).

tcf(c_25686,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1373,c_25409]) ).

tcf(c_25688,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_25409]) ).

tcf(c_25689,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_25409]) ).

tcf(c_25691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_25409]) ).

tcf(c_25692,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_25409]) ).

tcf(c_25694,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_25409]) ).

tcf(c_25695,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_25409]) ).

tcf(c_25698,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_25409]) ).

tcf(c_25699,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_25409]) ).

tcf(c_25700,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_25409]) ).

tcf(c_25701,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_25409]) ).

tcf(c_25706,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_25409]) ).

tcf(c_25707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1497,c_25409]) ).

tcf(c_25708,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1351,c_25409]) ).

tcf(c_25709,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_25409]) ).

tcf(c_25710,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_25409]) ).

tcf(c_25712,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_25409]) ).

tcf(c_25714,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_25409]) ).

tcf(c_25715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_25409]) ).

tcf(c_25716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_25409]) ).

tcf(c_25717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_25409]) ).

tcf(c_25718,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_25409]) ).

tcf(c_25719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_25409]) ).

tcf(c_25723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_25409]) ).

tcf(c_25724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_25409]) ).

tcf(c_25725,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | lesseq(sK0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1805,c_25409]) ).

tcf(c_25726,plain,
    ( lesseq(sK0,sK1)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_25409]) ).

tcf(c_25727,plain,
    ( lesseq(sK0,sK1)
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_25409]) ).

tcf(c_25728,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_25409]) ).

tcf(c_25729,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_25409]) ).

tcf(c_25731,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_25409]) ).

tcf(c_25732,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_25409]) ).

tcf(c_25733,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_25409]) ).

tcf(c_25734,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_25409]) ).

tcf(c_25900,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_24425]) ).

tcf(c_25901,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_24425]) ).

tcf(c_25904,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_24425]) ).

tcf(c_25906,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_24425]) ).

tcf(c_25907,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_24425]) ).

tcf(c_25909,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_24425]) ).

tcf(c_25910,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_24425]) ).

tcf(c_25911,plain,
    ( lesseq(sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_24425]) ).

tcf(c_25912,plain,
    ( lesseq(sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_24425]) ).

tcf(c_25913,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_24425]) ).

tcf(c_25914,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_24425]) ).

tcf(c_25916,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_24425]) ).

tcf(c_25918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_24425]) ).

tcf(c_25919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_24425]) ).

tcf(c_25921,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK1,sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_24425]) ).

tcf(c_25924,plain,
    ( ( sK1 = sK2 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_24425]) ).

tcf(c_25925,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_24425]) ).

tcf(c_26030,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25542,c_1405]) ).

tcf(c_26031,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25542,c_1496]) ).

tcf(c_26033,plain,
    max(sK2,max(sK2,sK0)) = sK2,
    inference(superposition,[status(thm)],[c_25542,c_1390]) ).

tcf(c_26034,plain,
    max(max(sK2,sK0),sK2) = sK2,
    inference(superposition,[status(thm)],[c_25542,c_1376]) ).

tcf(c_26045,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK2),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25624,c_1405]) ).

tcf(c_26046,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_25624,c_1496]) ).

tcf(c_26048,plain,
    max(sK2,max(sK0,sK2)) = sK2,
    inference(superposition,[status(thm)],[c_25624,c_1390]) ).

tcf(c_26049,plain,
    max(max(sK0,sK2),sK2) = sK2,
    inference(superposition,[status(thm)],[c_25624,c_1376]) ).

tcf(c_26059,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),sK2)
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25408,c_55]) ).

tcf(c_26061,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25408,c_2529]) ).

tcf(c_26063,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25408,c_1476]) ).

tcf(c_26065,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25408,c_1461]) ).

tcf(c_26066,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25408,c_72]) ).

tcf(c_26068,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25408,c_60]) ).

tcf(c_26071,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25408,c_6991]) ).

tcf(c_26072,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25408,c_5498]) ).

tcf(c_26079,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25408,c_72]) ).

tcf(c_26081,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25408,c_60]) ).

tcf(c_26133,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK0,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25405,c_1405]) ).

tcf(c_26134,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25405,c_1496]) ).

tcf(c_26136,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25405,c_1390]) ).

tcf(c_26137,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25405,c_1376]) ).

tcf(c_26183,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25561,c_1405]) ).

tcf(c_26184,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25561,c_1496]) ).

tcf(c_26186,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25561,c_1390]) ).

tcf(c_26187,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25561,c_1376]) ).

tcf(c_26202,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK0,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25643,c_1405]) ).

tcf(c_26203,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_25643,c_1496]) ).

tcf(c_26205,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25643,c_1390]) ).

tcf(c_26206,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25643,c_1376]) ).

tcf(c_26217,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_24681]) ).

tcf(c_26218,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK2,sK1),X0) = max(sK2,sK1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_24681]) ).

tcf(c_26221,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK2,sK1)) = max(sK2,sK1) ) ),
    inference(superposition,[status(thm)],[c_1439,c_24681]) ).

tcf(c_26222,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_3713,c_24681]) ).

tcf(c_26223,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_2539,c_24681]) ).

tcf(c_26224,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_2532,c_24681]) ).

tcf(c_26225,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_1497,c_24681]) ).

tcf(c_26226,plain,
    lesseq(sK2,max(sK2,sK1)),
    inference(superposition,[status(thm)],[c_1353,c_24681]) ).

tcf(c_26227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_1440,c_24681]) ).

tcf(c_26236,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2111,c_24681]) ).

tcf(c_26241,plain,
    lesseq(sK2,sK2),
    inference(superposition,[status(thm)],[c_24680,c_24681]) ).

tcf(c_26244,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_26227,c_24428]) ).

tcf(c_26248,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_26224,c_24428]) ).

tcf(c_26252,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_26223,c_24428]) ).

tcf(c_26256,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26236,c_24429]) ).

tcf(c_26260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_26222,c_24428]) ).

tcf(c_26264,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26221,c_24428]) ).

tcf(c_26267,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26218,c_24428]) ).

tcf(c_26314,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK1),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24682,c_1405]) ).

tcf(c_26315,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24682,c_1496]) ).

tcf(c_26317,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK2,sK1)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24682,c_1390]) ).

tcf(c_26318,plain,
    ! [X0: $i] :
      ( ( max(max(sK2,sK1),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24682,c_1376]) ).

tcf(c_26320,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_26318,c_24428]) ).

tcf(c_26323,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_26317,c_24428]) ).

tcf(c_26326,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_26315,c_24428]) ).

tcf(c_26330,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_26314,c_24428]) ).

tcf(c_26342,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24698,c_1405]) ).

tcf(c_26343,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24698,c_1496]) ).

tcf(c_26345,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24698,c_1390]) ).

tcf(c_26346,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24698,c_1376]) ).

tcf(c_26347,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24698,c_24681]) ).

tcf(c_26352,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24698,c_1405]) ).

tcf(c_26353,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24698,c_1496]) ).

tcf(c_26355,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24698,c_1390]) ).

tcf(c_26356,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24698,c_1376]) ).

tcf(c_26360,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26356,c_1375]) ).

tcf(c_26363,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26355,c_1375]) ).

tcf(c_26367,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_26346,c_24428]) ).

tcf(c_26370,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_26345,c_24428]) ).

tcf(c_26377,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_26342,c_24428]) ).

tcf(c_26381,plain,
    ( lesseq(sK2,sK0)
    | model_max(sK0,sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_26347]) ).

tcf(c_26390,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK1,sK2),X0) = max(sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_1438,c_24823]) ).

tcf(c_26393,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK1,sK2)) = max(sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_24823]) ).

tcf(c_26394,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_3713,c_24823]) ).

tcf(c_26395,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_2539,c_24823]) ).

tcf(c_26396,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_2532,c_24823]) ).

tcf(c_26397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_1497,c_24823]) ).

tcf(c_26398,plain,
    lesseq(sK2,max(sK1,sK2)),
    inference(superposition,[status(thm)],[c_1353,c_24823]) ).

tcf(c_26399,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_1440,c_24823]) ).

tcf(c_26431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK2),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24824,c_1405]) ).

tcf(c_26432,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24824,c_1496]) ).

tcf(c_26434,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK1,sK2)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24824,c_1390]) ).

tcf(c_26435,plain,
    ! [X0: $i] :
      ( ( max(max(sK1,sK2),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24824,c_1376]) ).

tcf(c_26460,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_25407]) ).

tcf(c_26461,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_25407]) ).

tcf(c_26464,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_25407]) ).

tcf(c_26466,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_25407]) ).

tcf(c_26467,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_25407]) ).

tcf(c_26469,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_25407]) ).

tcf(c_26470,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_25407]) ).

tcf(c_26475,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_25407]) ).

tcf(c_26476,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_25407]) ).

tcf(c_26478,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_25407]) ).

tcf(c_26480,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_25407]) ).

tcf(c_26481,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_25407]) ).

tcf(c_26483,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK0,sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_25407]) ).

tcf(c_26584,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_25543]) ).

tcf(c_26585,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK2,sK0),X0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_25543]) ).

tcf(c_26588,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_25543]) ).

tcf(c_26589,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_3713,c_25543]) ).

tcf(c_26590,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_2539,c_25543]) ).

tcf(c_26591,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_2532,c_25543]) ).

tcf(c_26592,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_1497,c_25543]) ).

tcf(c_26593,plain,
    lesseq(sK2,max(sK2,sK0)),
    inference(superposition,[status(thm)],[c_1353,c_25543]) ).

tcf(c_26594,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_1440,c_25543]) ).

tcf(c_26603,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_25543]) ).

tcf(c_26611,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_25543]) ).

tcf(c_26613,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5959,c_25543]) ).

tcf(c_26629,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26603,c_25411]) ).

tcf(c_26645,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK0),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25544,c_1405]) ).

tcf(c_26646,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25544,c_1496]) ).

tcf(c_26648,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK2,sK0)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25544,c_1390]) ).

tcf(c_26649,plain,
    ! [X0: $i] :
      ( ( max(max(sK2,sK0),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25544,c_1376]) ).

tcf(c_26651,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25544,c_7476]) ).

tcf(c_26652,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25544,c_5954]) ).

tcf(c_26669,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK0,sK2),X0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_1438,c_25625]) ).

tcf(c_26672,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_25625]) ).

tcf(c_26673,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_3713,c_25625]) ).

tcf(c_26674,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_2539,c_25625]) ).

tcf(c_26675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_2532,c_25625]) ).

tcf(c_26676,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_1497,c_25625]) ).

tcf(c_26677,plain,
    lesseq(sK2,max(sK0,sK2)),
    inference(superposition,[status(thm)],[c_1353,c_25625]) ).

tcf(c_26678,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_1440,c_25625]) ).

tcf(c_26714,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24840,c_1405]) ).

tcf(c_26715,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_24840,c_1496]) ).

tcf(c_26717,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24840,c_1390]) ).

tcf(c_26718,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24840,c_1376]) ).

tcf(c_26724,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24840,c_1405]) ).

tcf(c_26725,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24840,c_1496]) ).

tcf(c_26727,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24840,c_1390]) ).

tcf(c_26728,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24840,c_1376]) ).

tcf(c_26730,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26728,c_1375]) ).

tcf(c_26733,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26727,c_1375]) ).

tcf(c_26773,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25470,c_2108]) ).

tcf(c_26775,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25470,c_1585]) ).

tcf(c_26777,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25470,c_1405]) ).

tcf(c_26794,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25560,c_1405]) ).

tcf(c_26795,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25560,c_1496]) ).

tcf(c_26797,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25560,c_1390]) ).

tcf(c_26798,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25560,c_1376]) ).

tcf(c_26800,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25560,c_7476]) ).

tcf(c_26801,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25560,c_5954]) ).

tcf(c_26806,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25560,c_1405]) ).

tcf(c_26807,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25560,c_1496]) ).

tcf(c_26809,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25560,c_1390]) ).

tcf(c_26810,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25560,c_1376]) ).

tcf(c_26812,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26810,c_1375]) ).

tcf(c_26815,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26809,c_1375]) ).

tcf(c_26893,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK2),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25626,c_1405]) ).

tcf(c_26894,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK2),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25626,c_1496]) ).

tcf(c_26896,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK0,sK2)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25626,c_1390]) ).

tcf(c_26897,plain,
    ! [X0: $i] :
      ( ( max(max(sK0,sK2),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25626,c_1376]) ).

tcf(c_26921,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK0,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25642,c_1405]) ).

tcf(c_26922,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_25642,c_1496]) ).

tcf(c_26924,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25642,c_1390]) ).

tcf(c_26925,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25642,c_1376]) ).

tcf(c_26932,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25642,c_1405]) ).

tcf(c_26933,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25642,c_1496]) ).

tcf(c_26935,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25642,c_1390]) ).

tcf(c_26936,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25642,c_1376]) ).

tcf(c_26938,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26936,c_1375]) ).

tcf(c_26941,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_26935,c_1375]) ).

tcf(c_26966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_24421,c_55]) ).

tcf(c_26968,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24421,c_2529]) ).

tcf(c_26969,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_1530]) ).

tcf(c_26970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24421,c_1476]) ).

tcf(c_26972,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24421,c_1461]) ).

tcf(c_26973,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24421,c_72]) ).

tcf(c_26975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_60]) ).

tcf(c_26978,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_2536]) ).

tcf(c_26981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24421,c_1476]) ).

tcf(c_26983,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24421,c_1461]) ).

tcf(c_26984,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24421,c_72]) ).

tcf(c_26986,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24421,c_60]) ).

tcf(c_26989,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24421,c_1437]) ).

tcf(c_26991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X0,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24421,c_1762]) ).

tcf(c_26992,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24421,c_1733]) ).

tcf(c_26995,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24421,c_1824]) ).

tcf(c_26998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24421,c_55]) ).

tcf(c_26999,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_2536]) ).

tcf(c_27000,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_2529]) ).

tcf(c_27001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_1530]) ).

tcf(c_27002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24421,c_1476]) ).

tcf(c_27004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24421,c_1461]) ).

tcf(c_27005,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_72]) ).

tcf(c_27007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_60]) ).

tcf(c_27010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24421,c_1437]) ).

tcf(c_27012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24421,c_1762]) ).

tcf(c_27013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24421,c_1733]) ).

tcf(c_27171,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | ~ lesseq(X1,sK1)
      | ( X0 != X1 )
      | ( max(sK0,sK1) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_8461]) ).

tcf(c_27176,plain,
    ( lesseq(sK0,max(sK0,sK1))
    | ~ lesseq(sK0,sK1)
    | ( sK0 != sK0 )
    | ( max(sK0,sK1) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_27171]) ).

tcf(c_27178,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ~ lesseq(sK1,sK2)
    | ( sK2 != sK2 )
    | ( max(sK0,sK1) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_10402]) ).

tcf(c_27196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_2536]) ).

tcf(c_27197,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_2529]) ).

tcf(c_27199,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_1476]) ).

tcf(c_27200,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_3134]) ).

tcf(c_27201,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24422,c_1461]) ).

tcf(c_27202,plain,
    ! [X0: $i] :
      ( ( X0 = sK2 )
      | ( max(X0,sK1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24422,c_72]) ).

tcf(c_27204,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24422,c_60]) ).

tcf(c_27205,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_68]) ).

tcf(c_27206,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_67]) ).

tcf(c_27207,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24422,c_1437]) ).

tcf(c_27208,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24422,c_62]) ).

tcf(c_27209,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK5(X0,X1,X2),sK1) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24422,c_1762]) ).

tcf(c_27210,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | ( max(sK5(X0,X1,X2),sK1) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24422,c_1733]) ).

tcf(c_27213,plain,
    ( lesseq(sK2,sK2)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK1) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_24422,c_1824]) ).

tcf(c_27214,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_6991]) ).

tcf(c_27215,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_5498]) ).

tcf(c_27315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24424,c_2536]) ).

tcf(c_27316,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24424,c_2529]) ).

tcf(c_27318,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24424,c_1476]) ).

tcf(c_27319,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24424,c_3134]) ).

tcf(c_27320,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24424,c_1461]) ).

tcf(c_27321,plain,
    ! [X0: $i] :
      ( ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24424,c_72]) ).

tcf(c_27323,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24424,c_60]) ).

tcf(c_27324,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24424,c_68]) ).

tcf(c_27325,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24424,c_67]) ).

tcf(c_27326,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24424,c_1437]) ).

tcf(c_27327,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24424,c_62]) ).

tcf(c_27328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24424,c_1762]) ).

tcf(c_27329,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24424,c_1733]) ).

tcf(c_27332,plain,
    ( lesseq(sK2,sK2)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK1,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_24424,c_1824]) ).

tcf(c_27333,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24424,c_6991]) ).

tcf(c_27334,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK0) = sK0 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24424,c_5498]) ).

tcf(c_27409,plain,
    max(sK2,max(sK0,sK1)) = sK2,
    inference(global_subsumption_just,[status(thm)],[c_10191,c_73,c_80,c_81,c_83,c_85,c_599,c_1639,c_1875,c_2072,c_2485,c_2891,c_2974,c_3364,c_3626,c_5341,c_5344,c_6233,c_6543,c_6572,c_7938,c_8423,c_8488,c_8937,c_9378,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27178]) ).

tcf(c_27411,plain,
    ( model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK2 ) ),
    inference(demodulation,[status(thm)],[c_11224,c_27409]) ).

tcf(c_27412,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK2 ) ),
    inference(demodulation,[status(thm)],[c_1826,c_27409]) ).

tcf(c_27426,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_4121]) ).

tcf(c_27432,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_2865]) ).

tcf(c_27434,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_10774]) ).

tcf(c_27436,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_4543]) ).

tcf(c_27437,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_2861]) ).

tcf(c_27439,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27409,c_1437]) ).

tcf(c_27444,plain,
    model_max(sK2,max(sK0,sK1),sK2),
    inference(superposition,[status(thm)],[c_27409,c_1353]) ).

tcf(c_27445,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK2,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_27409,c_63]) ).

tcf(c_27446,plain,
    ! [X0: $i] :
      ( model_max(sK2,max(sK0,sK1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27409,c_62]) ).

tcf(c_27447,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_4126]) ).

tcf(c_27448,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,max(sK0,sK1))
      | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27409,c_4125]) ).

tcf(c_27450,plain,
    ( model_max(max(sK0,sK1),sK2,max(sK0,sK1))
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27409,c_18019]) ).

tcf(c_27451,plain,
    ( ( max(max(sK0,sK1),sK2) = sK2 )
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_3000]) ).

tcf(c_27453,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_14802]) ).

tcf(c_27454,plain,
    ( model_max(sK2,max(sK0,sK1),max(sK0,sK1))
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27409,c_14507]) ).

tcf(c_27455,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27409,c_12517]) ).

tcf(c_27456,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27409,c_12029]) ).

tcf(c_27457,plain,
    ( ( max(sK0,sK1) = sK2 )
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27409,c_1463]) ).

tcf(c_27458,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK2,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_27409,c_3713]) ).

tcf(c_27459,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | model_max(sK2,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_27409,c_2539]) ).

tcf(c_27460,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK2,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_27409,c_2532]) ).

tcf(c_27461,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_27409,c_1497]) ).

tcf(c_27462,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(sK2,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_27409,c_1851]) ).

tcf(c_27463,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_27409,c_1351]) ).

tcf(c_27464,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK2,max(sK0,sK1),max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_27409,c_1440]) ).

tcf(c_27489,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK1) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_27434,c_27409]) ).

tcf(c_27495,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK0,sK1) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_27436,c_27409]) ).

tcf(c_27506,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK0,sK1) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_27437,c_27409]) ).

tcf(c_27507,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK0,sK1) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_27426,c_27409]) ).

tcf(c_27541,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK1)
      | ( max(sK2,sK4(X0,X1,sK1)) = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_24530,c_55]) ).

tcf(c_27542,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24530,c_2536]) ).

tcf(c_27543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24530,c_2529]) ).

tcf(c_27544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24530,c_1530]) ).

tcf(c_27545,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24530,c_1476]) ).

tcf(c_27546,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24530,c_3134]) ).

tcf(c_27547,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24530,c_1461]) ).

tcf(c_27548,plain,
    ! [X0: $i] :
      ( ( X0 = sK1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24530,c_72]) ).

tcf(c_27550,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24530,c_60]) ).

tcf(c_27631,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK1)
      | ( max(sK4(X0,X1,sK1),sK2) = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_24531,c_55]) ).

tcf(c_27632,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_2536]) ).

tcf(c_27633,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_2529]) ).

tcf(c_27634,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_1530]) ).

tcf(c_27635,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_1476]) ).

tcf(c_27636,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_3134]) ).

tcf(c_27637,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_1461]) ).

tcf(c_27638,plain,
    ! [X0: $i] :
      ( ( X0 = sK1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24531,c_72]) ).

tcf(c_27640,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24531,c_60]) ).

tcf(c_27768,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24533]) ).

tcf(c_27769,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24533]) ).

tcf(c_27770,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_24533]) ).

tcf(c_27771,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_24533]) ).

tcf(c_27772,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_1375,c_24533]) ).

tcf(c_27774,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_24533]) ).

tcf(c_27775,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_24533]) ).

tcf(c_27776,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_24533]) ).

tcf(c_27777,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_24533]) ).

tcf(c_27778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_24533]) ).

tcf(c_27779,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_24533]) ).

tcf(c_27780,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_24533]) ).

tcf(c_27781,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_24533]) ).

tcf(c_27786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24533,c_2536]) ).

tcf(c_27787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK1,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24533,c_2529]) ).

tcf(c_27788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24533,c_1530]) ).

tcf(c_27789,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24533,c_1476]) ).

tcf(c_27790,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24533,c_3134]) ).

tcf(c_27791,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24533,c_1461]) ).

tcf(c_27792,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(X0,X1) = sK1 )
      | ~ lesseq(max(X0,X1),sK1) ),
    inference(superposition,[status(thm)],[c_24533,c_72]) ).

tcf(c_27794,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_24533,c_60]) ).

tcf(c_27865,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(X0,sK1,X1))
      | ~ ub(X0,sK1,sK5(X0,sK1,X1)) ),
    inference(instantiation,[status(thm)],[c_2975]) ).

tcf(c_28016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24518]) ).

tcf(c_28017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_24518]) ).

tcf(c_28018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_24518]) ).

tcf(c_28019,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_24421,c_24518]) ).

tcf(c_28027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_24518]) ).

tcf(c_28029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_24518]) ).

tcf(c_28031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_24518]) ).

tcf(c_28037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_24518]) ).

tcf(c_28038,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_24518]) ).

tcf(c_28039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(max(X0,X1),sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_24518]) ).

tcf(c_28040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_24518]) ).

tcf(c_28041,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_24518]) ).

tcf(c_28045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_24518]) ).

tcf(c_28046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_24518]) ).

tcf(c_28051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_24518]) ).

tcf(c_28054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_24518]) ).

tcf(c_28059,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_24518]) ).

tcf(c_28060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24518]) ).

tcf(c_28062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_24518]) ).

tcf(c_28065,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_24518]) ).

tcf(c_28072,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | lesseq(sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_24518]) ).

tcf(c_28077,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK1)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_24518]) ).

tcf(c_28078,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK1)
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_24518]) ).

tcf(c_28088,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_24518]) ).

tcf(c_28089,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_24518]) ).

tcf(c_28092,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(sK1,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_24518]) ).

tcf(c_28093,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK1,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_24518]) ).

tcf(c_28094,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK1,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_24518]) ).

tcf(c_28095,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(sK1,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_24518]) ).

tcf(c_28501,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,max(sK0,sK1)),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27444,c_1405]) ).

tcf(c_28502,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,max(sK0,sK1)),X0) ),
    inference(superposition,[status(thm)],[c_27444,c_1496]) ).

tcf(c_28504,plain,
    max(sK2,max(sK2,max(sK0,sK1))) = sK2,
    inference(superposition,[status(thm)],[c_27444,c_1390]) ).

tcf(c_28505,plain,
    max(max(sK2,max(sK0,sK1)),sK2) = sK2,
    inference(superposition,[status(thm)],[c_27444,c_1376]) ).

tcf(c_28518,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27772,c_1405]) ).

tcf(c_28519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_27772,c_1496]) ).

tcf(c_28521,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27772,c_1390]) ).

tcf(c_28522,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27772,c_1376]) ).

tcf(c_28536,plain,
    ( lesseq(sK1,sK0)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25045]) ).

tcf(c_28537,plain,
    ( lesseq(sK1,sK1)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25045]) ).

tcf(c_28538,plain,
    ( lesseq(sK1,sK0)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_25045]) ).

tcf(c_28539,plain,
    ( lesseq(sK1,sK1)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_25045]) ).

tcf(c_28541,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25045,c_2536]) ).

tcf(c_28542,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK1,sK1,X1)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25045,c_2529]) ).

tcf(c_28543,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25045,c_1530]) ).

tcf(c_28544,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25045,c_1476]) ).

tcf(c_28545,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK1,sK1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25045,c_3134]) ).

tcf(c_28546,plain,
    ! [X0: $i] :
      ( minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25045,c_1461]) ).

tcf(c_28547,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,sK1) = sK1 )
    | ~ lesseq(max(sK0,sK1),sK1) ),
    inference(superposition,[status(thm)],[c_25045,c_72]) ).

tcf(c_28548,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25045,c_1402]) ).

tcf(c_28549,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_25045,c_60]) ).

tcf(c_28550,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK1) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_25045,c_68]) ).

tcf(c_28551,plain,
    ( minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK1,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_25045,c_67]) ).

tcf(c_28603,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),X2)
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25403,c_55]) ).

tcf(c_28606,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25403,c_2529]) ).

tcf(c_28607,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_1530]) ).

tcf(c_28608,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25403,c_1476]) ).

tcf(c_28610,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25403,c_1461]) ).

tcf(c_28611,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK0 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25403,c_72]) ).

tcf(c_28613,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_60]) ).

tcf(c_28616,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25403,c_6991]) ).

tcf(c_28617,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25403,c_5498]) ).

tcf(c_28619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_2536]) ).

tcf(c_28622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25403,c_1476]) ).

tcf(c_28624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25403,c_1461]) ).

tcf(c_28625,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25403,c_72]) ).

tcf(c_28627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25403,c_60]) ).

tcf(c_28630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25403,c_1437]) ).

tcf(c_28632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X0,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25403,c_1762]) ).

tcf(c_28633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25403,c_1733]) ).

tcf(c_28636,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25403,c_1824]) ).

tcf(c_28637,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25403,c_6991]) ).

tcf(c_28638,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25403,c_5498]) ).

tcf(c_28639,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25403,c_55]) ).

tcf(c_28640,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_25403,c_24518]) ).

tcf(c_28641,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_2536]) ).

tcf(c_28642,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_2529]) ).

tcf(c_28643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_1530]) ).

tcf(c_28644,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25403,c_1476]) ).

tcf(c_28646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25403,c_1461]) ).

tcf(c_28647,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_72]) ).

tcf(c_28649,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_60]) ).

tcf(c_28652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25403,c_1437]) ).

tcf(c_28654,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25403,c_1762]) ).

tcf(c_28655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25403,c_1733]) ).

tcf(c_28838,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_2536]) ).

tcf(c_28839,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_2529]) ).

tcf(c_28841,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_1476]) ).

tcf(c_28842,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_3134]) ).

tcf(c_28843,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,sK0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25404,c_1461]) ).

tcf(c_28844,plain,
    ! [X0: $i] :
      ( ( X0 = sK2 )
      | ( max(X0,sK0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25404,c_72]) ).

tcf(c_28846,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25404,c_60]) ).

tcf(c_28847,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_68]) ).

tcf(c_28848,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_67]) ).

tcf(c_28849,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25404,c_1437]) ).

tcf(c_28850,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25404,c_62]) ).

tcf(c_28851,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25404,c_1762]) ).

tcf(c_28852,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25404,c_1733]) ).

tcf(c_28855,plain,
    ( lesseq(sK2,sK2)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(max(sK0,sK1),sK0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_25404,c_1824]) ).

tcf(c_28856,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_6991]) ).

tcf(c_28857,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25404,c_5498]) ).

tcf(c_28903,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,X0),sK2)
      | ~ lesseq(sK1,sK2)
      | ( sK2 != sK2 )
      | ( max(sK1,X0) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_10402]) ).

tcf(c_28907,plain,
    ( lesseq(max(sK1,sK0),sK2)
    | ~ lesseq(sK1,sK2)
    | ( sK2 != sK2 )
    | ( max(sK1,sK0) != sK1 ) ),
    inference(instantiation,[status(thm)],[c_28903]) ).

tcf(c_28908,plain,
    max(max(sK0,sK1),sK2) = sK2,
    inference(global_subsumption_just,[status(thm)],[c_10192,c_73,c_80,c_81,c_83,c_85,c_599,c_1639,c_1875,c_2072,c_2485,c_2891,c_2974,c_3364,c_3626,c_5341,c_5344,c_6233,c_6543,c_6572,c_7938,c_8260,c_8488,c_8937,c_9378,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27178]) ).

tcf(c_28935,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK0,sK1),sK2,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_1437]) ).

tcf(c_28940,plain,
    model_max(max(sK0,sK1),sK2,sK2),
    inference(superposition,[status(thm)],[c_28908,c_1353]) ).

tcf(c_28941,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(max(sK0,sK1),sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_63]) ).

tcf(c_28942,plain,
    ! [X0: $i] :
      ( model_max(max(sK0,sK1),sK2,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_62]) ).

tcf(c_28954,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(max(sK0,sK1),sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_3713]) ).

tcf(c_28955,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | model_max(max(sK0,sK1),sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_2539]) ).

tcf(c_28956,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(max(sK0,sK1),sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_2532]) ).

tcf(c_28957,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(max(sK0,sK1),sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_1497]) ).

tcf(c_28958,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(max(sK0,sK1),sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_1851]) ).

tcf(c_28959,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(max(sK0,sK1),sK2,X0) ),
    inference(superposition,[status(thm)],[c_28908,c_1351]) ).

tcf(c_28960,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(max(sK0,sK1),sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_28908,c_1440]) ).

tcf(c_29004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24529]) ).

tcf(c_29005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_24529]) ).

tcf(c_29006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_24529]) ).

tcf(c_29016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_24529]) ).

tcf(c_29017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_24529]) ).

tcf(c_29019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_24529]) ).

tcf(c_29020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_24529]) ).

tcf(c_29022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_24529]) ).

tcf(c_29023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_24529]) ).

tcf(c_29026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_24529]) ).

tcf(c_29028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_24529]) ).

tcf(c_29029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_24529]) ).

tcf(c_29030,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_24529]) ).

tcf(c_29031,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_24529]) ).

tcf(c_29034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_24529]) ).

tcf(c_29037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_24529]) ).

tcf(c_29042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_24529]) ).

tcf(c_29045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_24529]) ).

tcf(c_29053,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_24529]) ).

tcf(c_29058,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_24529]) ).

tcf(c_29059,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_24529]) ).

tcf(c_29062,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_25403,c_24529]) ).

tcf(c_29065,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_24529]) ).

tcf(c_29066,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_24529]) ).

tcf(c_29067,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_24529]) ).

tcf(c_29068,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_24529]) ).

tcf(c_29252,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_26068]) ).

tcf(c_29253,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_26068]) ).

tcf(c_29254,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_26068]) ).

tcf(c_29255,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_25403,c_26068]) ).

tcf(c_29264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_26068]) ).

tcf(c_29266,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_26068]) ).

tcf(c_29268,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_26068]) ).

tcf(c_29274,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_26068]) ).

tcf(c_29275,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_26068]) ).

tcf(c_29276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(max(X0,X1),sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_26068]) ).

tcf(c_29277,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_26068]) ).

tcf(c_29278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_26068]) ).

tcf(c_29282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_26068]) ).

tcf(c_29283,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_26068]) ).

tcf(c_29288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_26068]) ).

tcf(c_29291,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_26068]) ).

tcf(c_29296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_26068]) ).

tcf(c_29297,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_26068]) ).

tcf(c_29299,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_26068]) ).

tcf(c_29302,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_ub(sK0,sK1,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_26068]) ).

tcf(c_29310,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | lesseq(sK0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_26068]) ).

tcf(c_29328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_26068]) ).

tcf(c_29329,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_26068]) ).

tcf(c_29333,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_26068]) ).

tcf(c_29334,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_26068]) ).

tcf(c_29335,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_26068]) ).

tcf(c_29336,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_26068]) ).

tcf(c_29500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_26081]) ).

tcf(c_29501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_26081]) ).

tcf(c_29502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_26081]) ).

tcf(c_29512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_26081]) ).

tcf(c_29513,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_26081]) ).

tcf(c_29515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_26081]) ).

tcf(c_29516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_26081]) ).

tcf(c_29518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_26081]) ).

tcf(c_29519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_26081]) ).

tcf(c_29522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_26081]) ).

tcf(c_29524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_26081]) ).

tcf(c_29525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_26081]) ).

tcf(c_29526,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_26081]) ).

tcf(c_29527,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_26081]) ).

tcf(c_29530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_26081]) ).

tcf(c_29533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_26081]) ).

tcf(c_29538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_26081]) ).

tcf(c_29541,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_26081]) ).

tcf(c_29543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_26081]) ).

tcf(c_29549,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK2,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3542,c_26081]) ).

tcf(c_29553,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1805,c_26081]) ).

tcf(c_29554,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_26081]) ).

tcf(c_29555,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10190,c_26081]) ).

tcf(c_29561,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_26081]) ).

tcf(c_29562,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_26081]) ).

tcf(c_29563,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_26081]) ).

tcf(c_29564,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_26081]) ).

tcf(c_29895,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK2,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1904,c_27445]) ).

tcf(c_29896,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK2,max(sK0,sK1)),X0) = max(sK2,max(sK0,sK1)) ) ),
    inference(superposition,[status(thm)],[c_1438,c_27445]) ).

tcf(c_29899,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK2,max(sK0,sK1))) = max(sK2,max(sK0,sK1)) ) ),
    inference(superposition,[status(thm)],[c_1439,c_27445]) ).

tcf(c_29900,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK2,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_3713,c_27445]) ).

tcf(c_29901,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK2,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_2539,c_27445]) ).

tcf(c_29902,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_2532,c_27445]) ).

tcf(c_29903,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_1497,c_27445]) ).

tcf(c_29904,plain,
    lesseq(sK2,max(sK2,max(sK0,sK1))),
    inference(superposition,[status(thm)],[c_1353,c_27445]) ).

tcf(c_29905,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK2,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_1440,c_27445]) ).

tcf(c_29914,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(max(sK0,sK1),sK2) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_2111,c_27445]) ).

tcf(c_29922,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_27445]) ).

tcf(c_29923,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_27445]) ).

tcf(c_29924,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_27445]) ).

tcf(c_29925,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_27445]) ).

tcf(c_29944,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK1) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_29914,c_28908]) ).

tcf(c_29988,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK0,sK1),sK2),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28940,c_1405]) ).

tcf(c_29989,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(max(sK0,sK1),sK2),X0) ),
    inference(superposition,[status(thm)],[c_28940,c_1496]) ).

tcf(c_29991,plain,
    max(sK2,max(max(sK0,sK1),sK2)) = sK2,
    inference(superposition,[status(thm)],[c_28940,c_1390]) ).

tcf(c_29992,plain,
    max(max(max(sK0,sK1),sK2),sK2) = sK2,
    inference(superposition,[status(thm)],[c_28940,c_1376]) ).

tcf(c_30003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25406,c_2536]) ).

tcf(c_30004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25406,c_2529]) ).

tcf(c_30006,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25406,c_1476]) ).

tcf(c_30007,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25406,c_3134]) ).

tcf(c_30008,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(sK0,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25406,c_1461]) ).

tcf(c_30009,plain,
    ! [X0: $i] :
      ( ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25406,c_72]) ).

tcf(c_30011,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25406,c_60]) ).

tcf(c_30012,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25406,c_68]) ).

tcf(c_30013,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25406,c_67]) ).

tcf(c_30014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25406,c_1437]) ).

tcf(c_30015,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25406,c_62]) ).

tcf(c_30016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25406,c_1762]) ).

tcf(c_30017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25406,c_1733]) ).

tcf(c_30022,plain,
    ( lesseq(sK2,sK2)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( max(sK0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_25406,c_1824]) ).

tcf(c_30159,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25459,c_2536]) ).

tcf(c_30160,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25459,c_2529]) ).

tcf(c_30161,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25459,c_1530]) ).

tcf(c_30162,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25459,c_1476]) ).

tcf(c_30163,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25459,c_3134]) ).

tcf(c_30164,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25459,c_1461]) ).

tcf(c_30166,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25459,c_1402]) ).

tcf(c_30167,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25459,c_60]) ).

tcf(c_30168,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK0),sK1) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_25459,c_68]) ).

tcf(c_30169,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_25459,c_67]) ).

tcf(c_30219,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK0)
      | ( max(sK2,sK4(X0,X1,sK0)) = sK2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25684,c_55]) ).

tcf(c_30222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_2536]) ).

tcf(c_30223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_2529]) ).

tcf(c_30224,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_1530]) ).

tcf(c_30225,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25684,c_1476]) ).

tcf(c_30226,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_3134]) ).

tcf(c_30227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25684,c_1461]) ).

tcf(c_30228,plain,
    ! [X0: $i] :
      ( ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25684,c_72]) ).

tcf(c_30230,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25684,c_60]) ).

tcf(c_30233,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_6991]) ).

tcf(c_30234,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_5498]) ).

tcf(c_30300,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK0)
      | ( max(sK4(X0,X1,sK0),sK2) = sK2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25686,c_55]) ).

tcf(c_30303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_2536]) ).

tcf(c_30304,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_2529]) ).

tcf(c_30305,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_1530]) ).

tcf(c_30306,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_1476]) ).

tcf(c_30307,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_3134]) ).

tcf(c_30308,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_1461]) ).

tcf(c_30309,plain,
    ! [X0: $i] :
      ( ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25686,c_72]) ).

tcf(c_30311,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25686,c_60]) ).

tcf(c_30314,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_6991]) ).

tcf(c_30315,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_5498]) ).

tcf(c_30517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25708]) ).

tcf(c_30518,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25708]) ).

tcf(c_30519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_25708]) ).

tcf(c_30520,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_25708]) ).

tcf(c_30521,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_1375,c_25708]) ).

tcf(c_30524,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_25708]) ).

tcf(c_30525,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_25708]) ).

tcf(c_30526,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_25708]) ).

tcf(c_30527,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_25708]) ).

tcf(c_30528,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_25708]) ).

tcf(c_30529,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_25708]) ).

tcf(c_30530,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_25708]) ).

tcf(c_30531,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_25708]) ).

tcf(c_30538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25708,c_2536]) ).

tcf(c_30539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK0,sK0,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25708,c_2529]) ).

tcf(c_30541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25708,c_1476]) ).

tcf(c_30542,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25708,c_3134]) ).

tcf(c_30543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25708,c_1461]) ).

tcf(c_30544,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(X0,X1) = sK0 )
      | ~ lesseq(max(X0,X1),sK0) ),
    inference(superposition,[status(thm)],[c_25708,c_72]) ).

tcf(c_30546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25708,c_60]) ).

tcf(c_30710,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30521,c_1405]) ).

tcf(c_30711,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_30521,c_1496]) ).

tcf(c_30713,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30521,c_1390]) ).

tcf(c_30714,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30521,c_1376]) ).

tcf(c_30759,plain,
    lesseq(sK0,max(sK0,sK1)),
    inference(global_subsumption_just,[status(thm)],[c_25725,c_73,c_80,c_2247,c_8465,c_17848,c_25025,c_27176]) ).

tcf(c_30764,plain,
    ( lesseq(sK0,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_30759]) ).

tcf(c_30766,plain,
    ( lesseq(sK0,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_30759]) ).

tcf(c_30769,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30759,c_2536]) ).

tcf(c_30770,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30759,c_2529]) ).

tcf(c_30771,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30759,c_1530]) ).

tcf(c_30772,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30759,c_1476]) ).

tcf(c_30773,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30759,c_3134]) ).

tcf(c_30774,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30759,c_1461]) ).

tcf(c_30775,plain,
    ( ( max(sK0,sK1) = sK0 )
    | ~ lesseq(max(sK0,sK1),sK0) ),
    inference(superposition,[status(thm)],[c_30759,c_72]) ).

tcf(c_30776,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30759,c_1402]) ).

tcf(c_30777,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30759,c_60]) ).

tcf(c_30778,plain,
    max(max(sK0,sK1),sK0) = max(sK0,sK1),
    inference(superposition,[status(thm)],[c_30759,c_68]) ).

tcf(c_30779,plain,
    max(sK0,max(sK0,sK1)) = max(sK0,sK1),
    inference(superposition,[status(thm)],[c_30759,c_67]) ).

tcf(c_30780,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_30759,c_6991]) ).

tcf(c_30781,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_30759,c_5498]) ).

tcf(c_30905,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_30776]) ).

tcf(c_30907,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_30776]) ).

tcf(c_30910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30776,c_2536]) ).

tcf(c_30911,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30776,c_2529]) ).

tcf(c_30912,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30776,c_1530]) ).

tcf(c_30913,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,max(sK0,sK1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_30776,c_1476]) ).

tcf(c_30915,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,max(sK0,sK1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_30776,c_1461]) ).

tcf(c_30916,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = X0 )
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30776,c_72]) ).

tcf(c_30918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30776,c_60]) ).

tcf(c_30919,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30776,c_68]) ).

tcf(c_30920,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30776,c_67]) ).

tcf(c_30921,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK0,sK1))
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_30776,c_1437]) ).

tcf(c_30922,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30776,c_62]) ).

tcf(c_30923,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_30776,c_1762]) ).

tcf(c_30924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK0,sK1))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_30776,c_1733]) ).

tcf(c_31001,plain,
    ( lesseq(sK1,sK3(sK0,sK1,sK2))
    | ~ lesseq(max(sK0,sK1),sK3(sK0,sK1,sK2))
    | ( sK1 != max(sK0,sK1) )
    | ( sK3(sK0,sK1,sK2) != sK3(sK0,sK1,sK2) ) ),
    inference(instantiation,[status(thm)],[c_18920]) ).

tcf(c_31045,plain,
    max(sK2,sK5(sK0,sK1,sK2)) = sK2,
    inference(global_subsumption_just,[status(thm)],[c_10238,c_73,c_80,c_81,c_83,c_85,c_599,c_1875,c_2891,c_2974,c_3626,c_5326,c_5344,c_5533,c_6543,c_6811,c_7938,c_8438,c_8465,c_8488,c_8937,c_9378,c_9402,c_10603,c_15750,c_24043,c_24053,c_24074,c_24455]) ).

tcf(c_31052,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_4121]) ).

tcf(c_31058,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_2865]) ).

tcf(c_31060,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_10774]) ).

tcf(c_31062,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_4543]) ).

tcf(c_31063,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK2,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_2861]) ).

tcf(c_31065,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK5(sK0,sK1,sK2),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31045,c_1437]) ).

tcf(c_31070,plain,
    model_max(sK2,sK5(sK0,sK1,sK2),sK2),
    inference(superposition,[status(thm)],[c_31045,c_1353]) ).

tcf(c_31071,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31045,c_63]) ).

tcf(c_31072,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK5(sK0,sK1,sK2),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31045,c_62]) ).

tcf(c_31073,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_4126]) ).

tcf(c_31074,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK5(sK0,sK1,sK2))
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_31045,c_4125]) ).

tcf(c_31076,plain,
    ( model_max(sK5(sK0,sK1,sK2),sK2,sK5(sK0,sK1,sK2))
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_31045,c_18019]) ).

tcf(c_31077,plain,
    ( ( max(sK5(sK0,sK1,sK2),sK2) = sK2 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_3000]) ).

tcf(c_31079,plain,
    ( model_max(sK2,sK2,sK2)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_14802]) ).

tcf(c_31080,plain,
    ( model_max(sK2,sK5(sK0,sK1,sK2),sK5(sK0,sK1,sK2))
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_31045,c_14507]) ).

tcf(c_31081,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_31045,c_12517]) ).

tcf(c_31082,plain,
    ( lesseq(sK5(sK0,sK1,sK2),sK2)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_31045,c_12029]) ).

tcf(c_31083,plain,
    ( ( sK5(sK0,sK1,sK2) = sK2 )
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_31045,c_1463]) ).

tcf(c_31084,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31045,c_3713]) ).

tcf(c_31085,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31045,c_2539]) ).

tcf(c_31086,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31045,c_2532]) ).

tcf(c_31087,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31045,c_1497]) ).

tcf(c_31088,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31045,c_1851]) ).

tcf(c_31089,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31045,c_1351]) ).

tcf(c_31090,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK2,sK5(sK0,sK1,sK2),max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_31045,c_1440]) ).

tcf(c_31118,plain,
    ( lesseq(sK2,sK2)
    | ( sK5(sK0,sK1,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_31060,c_31045]) ).

tcf(c_31121,plain,
    ( model_max(sK2,sK2,sK2)
    | ( sK5(sK0,sK1,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_31062,c_31045]) ).

tcf(c_31128,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( sK5(sK0,sK1,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_31063,c_31045]) ).

tcf(c_31129,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( sK5(sK0,sK1,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_31052,c_31045]) ).

tcf(c_31145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3525,c_30777]) ).

tcf(c_31147,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1529,c_30777]) ).

tcf(c_31157,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_2537,c_30777]) ).

tcf(c_31158,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1491,c_30777]) ).

tcf(c_31160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2535,c_30777]) ).

tcf(c_31161,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_2538,c_30777]) ).

tcf(c_31163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2411,c_30777]) ).

tcf(c_31164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1493,c_30777]) ).

tcf(c_31169,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ~ model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_63,c_30777]) ).

tcf(c_31170,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,max(sK0,sK1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30777]) ).

tcf(c_31172,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(X0,max(sK0,sK1),X1))
      | ~ model_ub(X0,max(sK0,sK1),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_30777]) ).

tcf(c_31173,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(max(sK0,sK1),X0,X1))
      | ~ model_ub(max(sK0,sK1),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_30777]) ).

tcf(c_31174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2532,c_30777]) ).

tcf(c_31177,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,max(sK0,sK1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30777]) ).

tcf(c_31178,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3349,c_30777]) ).

tcf(c_31182,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3536,c_30777]) ).

tcf(c_31183,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3525,c_30777]) ).

tcf(c_31185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,max(sK0,sK1))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_30777]) ).

tcf(c_31187,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1497,c_30777]) ).

tcf(c_31188,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_ub(sK0,sK1,sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_8693,c_30777]) ).

tcf(c_31208,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,max(sK0,sK1)))
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_30777]) ).

tcf(c_31209,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(max(sK0,sK1),X0))
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_30777]) ).

tcf(c_31210,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,max(sK0,sK1)))
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_30777]) ).

tcf(c_31211,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(max(sK0,sK1),X0))
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_30777]) ).

tcf(c_31215,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_30777]) ).

tcf(c_31217,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_30777]) ).

tcf(c_31414,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_31169]) ).

tcf(c_31439,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_31169]) ).

tcf(c_31455,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_27446]) ).

tcf(c_31456,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_27446]) ).

tcf(c_31457,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_27446]) ).

tcf(c_31458,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_27446]) ).

tcf(c_31463,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,max(sK0,sK1)),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27446,c_1405]) ).

tcf(c_31464,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,max(sK0,sK1)),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27446,c_1496]) ).

tcf(c_31466,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK2,max(sK0,sK1))) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27446,c_1390]) ).

tcf(c_31467,plain,
    ! [X0: $i] :
      ( ( max(max(sK2,max(sK0,sK1)),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27446,c_1376]) ).

tcf(c_31552,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(max(sK0,sK1),sK2),X0) = max(max(sK0,sK1),sK2) ) ),
    inference(superposition,[status(thm)],[c_1438,c_28941]) ).

tcf(c_31555,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(max(sK0,sK1),sK2)) = max(max(sK0,sK1),sK2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_28941]) ).

tcf(c_31556,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(max(sK0,sK1),sK2)) ),
    inference(superposition,[status(thm)],[c_3713,c_28941]) ).

tcf(c_31557,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(max(sK0,sK1),sK2)) ),
    inference(superposition,[status(thm)],[c_2539,c_28941]) ).

tcf(c_31558,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(max(sK0,sK1),sK2)) ),
    inference(superposition,[status(thm)],[c_2532,c_28941]) ).

tcf(c_31559,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(max(sK0,sK1),sK2)) ),
    inference(superposition,[status(thm)],[c_1497,c_28941]) ).

tcf(c_31560,plain,
    lesseq(sK2,max(max(sK0,sK1),sK2)),
    inference(superposition,[status(thm)],[c_1353,c_28941]) ).

tcf(c_31561,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(max(sK0,sK1),sK2)) ),
    inference(superposition,[status(thm)],[c_1440,c_28941]) ).

tcf(c_31578,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_28941]) ).

tcf(c_31579,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_28941]) ).

tcf(c_31580,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_28941]) ).

tcf(c_31581,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_28941]) ).

tcf(c_31608,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK5(sK0,sK1,sK2)),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31070,c_1405]) ).

tcf(c_31609,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),X0) ),
    inference(superposition,[status(thm)],[c_31070,c_1496]) ).

tcf(c_31611,plain,
    max(sK2,max(sK2,sK5(sK0,sK1,sK2))) = sK2,
    inference(superposition,[status(thm)],[c_31070,c_1390]) ).

tcf(c_31612,plain,
    max(max(sK2,sK5(sK0,sK1,sK2)),sK2) = sK2,
    inference(superposition,[status(thm)],[c_31070,c_1376]) ).

tcf(c_31631,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,max(sK0,sK1)),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27463,c_1405]) ).

tcf(c_31632,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,max(sK0,sK1)),X0) ),
    inference(superposition,[status(thm)],[c_27463,c_1496]) ).

tcf(c_31634,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK2,max(sK0,sK1))) = X0 ) ),
    inference(superposition,[status(thm)],[c_27463,c_1390]) ).

tcf(c_31635,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK2,max(sK0,sK1)),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27463,c_1376]) ).

tcf(c_31655,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(max(sK0,sK1),sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_28959,c_1405]) ).

tcf(c_31656,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(max(sK0,sK1),sK2),X0) ),
    inference(superposition,[status(thm)],[c_28959,c_1496]) ).

tcf(c_31658,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(max(sK0,sK1),sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_28959,c_1390]) ).

tcf(c_31659,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(max(sK0,sK1),sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28959,c_1376]) ).

tcf(c_31671,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_30773]) ).

tcf(c_31672,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK0,X0)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_30773]) ).

tcf(c_31673,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_30773]) ).

tcf(c_31674,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_30773]) ).

tcf(c_31677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_2536]) ).

tcf(c_31678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_2529]) ).

tcf(c_31679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_1530]) ).

tcf(c_31680,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK0,sK1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_30773,c_1476]) ).

tcf(c_31681,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_3134]) ).

tcf(c_31682,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | lesseq(X1,max(sK0,sK1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_30773,c_1461]) ).

tcf(c_31683,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(sK0,sK1) = X0 )
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30773,c_72]) ).

tcf(c_31685,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30773,c_60]) ).

tcf(c_31686,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30773,c_68]) ).

tcf(c_31687,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30773,c_67]) ).

tcf(c_31688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK0,sK1))
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_30773,c_1437]) ).

tcf(c_31689,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_62]) ).

tcf(c_31690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | model_max(sK0,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_30773,c_1762]) ).

tcf(c_31691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK0,sK1))
      | model_max(sK0,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_30773,c_1733]) ).

tcf(c_31692,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK0,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_26081]) ).

tcf(c_31693,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK0,sK2)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_24529]) ).

tcf(c_31695,plain,
    ( model_max(sK0,sK0,sK2)
    | lesseq(sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30773,c_24427]) ).

tcf(c_31898,plain,
    model_max(sK0,sK0,sK2),
    inference(global_subsumption_just,[status(thm)],[c_31695,c_73,c_80,c_81,c_83,c_85,c_599,c_1419,c_1875,c_2072,c_2483,c_2501,c_2891,c_2974,c_3364,c_3626,c_5341,c_5344,c_6233,c_6543,c_7938,c_8488,c_8937,c_9378,c_12289,c_15750,c_24043,c_24053,c_24074,c_24455,c_25235,c_25353,c_26381]) ).

tcf(c_31904,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31898,c_1405]) ).

tcf(c_31905,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK0,sK0),X0) ),
    inference(superposition,[status(thm)],[c_31898,c_1496]) ).

tcf(c_31907,plain,
    max(sK2,max(sK0,sK0)) = sK2,
    inference(superposition,[status(thm)],[c_31898,c_1390]) ).

tcf(c_31908,plain,
    max(max(sK0,sK0),sK2) = sK2,
    inference(superposition,[status(thm)],[c_31898,c_1376]) ).

tcf(c_31935,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24419,c_1405]) ).

tcf(c_31936,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24419,c_1496]) ).

tcf(c_31938,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24419,c_1390]) ).

tcf(c_31939,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24419,c_1376]) ).

tcf(c_31961,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_28942]) ).

tcf(c_31962,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_28942]) ).

tcf(c_31963,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_28942]) ).

tcf(c_31964,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_28942]) ).

tcf(c_31969,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(max(sK0,sK1),sK2),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_28942,c_1405]) ).

tcf(c_31970,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(max(sK0,sK1),sK2),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28942,c_1496]) ).

tcf(c_31972,plain,
    ! [X0: $i] :
      ( ( max(X0,max(max(sK0,sK1),sK2)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28942,c_1390]) ).

tcf(c_31973,plain,
    ! [X0: $i] :
      ( ( max(max(max(sK0,sK1),sK2),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28942,c_1376]) ).

tcf(c_32006,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_30778]) ).

tcf(c_32008,plain,
    ( lesseq(sK1,max(sK0,sK1))
    | model_max(max(sK0,sK1),sK0,sK2) ),
    inference(superposition,[status(thm)],[c_30778,c_24533]) ).

tcf(c_32009,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(max(sK0,sK1),X0)
      | ( max(max(sK0,sK1),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_4121]) ).

tcf(c_32015,plain,
    ( ( max(sK0,max(sK0,sK1)) = sK0 )
    | ( max(max(sK0,sK1),max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30778,c_2865]) ).

tcf(c_32017,plain,
    ( lesseq(max(sK0,sK1),max(sK0,sK1))
    | ( max(max(sK0,sK1),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_10774]) ).

tcf(c_32019,plain,
    ( model_max(max(sK0,sK1),max(sK0,sK1),max(sK0,sK1))
    | ( max(max(sK0,sK1),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_4543]) ).

tcf(c_32020,plain,
    ( ( max(max(sK0,sK1),sK0) = sK0 )
    | ( max(max(sK0,sK1),max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30778,c_2861]) ).

tcf(c_32022,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK0,sK1),sK0,X1)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30778,c_1437]) ).

tcf(c_32027,plain,
    model_max(max(sK0,sK1),sK0,max(sK0,sK1)),
    inference(superposition,[status(thm)],[c_30778,c_1353]) ).

tcf(c_32028,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),X0)
      | ~ model_max(max(sK0,sK1),sK0,X0) ),
    inference(superposition,[status(thm)],[c_30778,c_63]) ).

tcf(c_32029,plain,
    ! [X0: $i] :
      ( model_max(max(sK0,sK1),sK0,X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30778,c_62]) ).

tcf(c_32030,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(max(sK0,sK1),X0)
      | ( max(sK0,max(sK0,sK1)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_4126]) ).

tcf(c_32036,plain,
    ( model_max(max(sK0,sK1),max(sK0,sK1),max(sK0,sK1))
    | ( max(sK0,max(sK0,sK1)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_14802]) ).

tcf(c_32038,plain,
    ( lesseq(max(sK0,sK1),max(sK0,sK1))
    | ( max(sK0,max(sK0,sK1)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_12517]) ).

tcf(c_32041,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | model_max(max(sK0,sK1),sK0,X1)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30778,c_3713]) ).

tcf(c_32042,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK0,sK1),sK0,X1)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30778,c_2539]) ).

tcf(c_32043,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | lesseq(X1,max(sK0,sK1))
      | model_max(max(sK0,sK1),sK0,X0) ),
    inference(superposition,[status(thm)],[c_30778,c_2532]) ).

tcf(c_32044,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | lesseq(X1,max(sK0,sK1))
      | model_max(max(sK0,sK1),sK0,X0) ),
    inference(superposition,[status(thm)],[c_30778,c_1497]) ).

tcf(c_32045,plain,
    ! [X0: $i] :
      ( model_max(max(sK0,sK1),sK0,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30778,c_1851]) ).

tcf(c_32046,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | model_max(max(sK0,sK1),sK0,X0) ),
    inference(superposition,[status(thm)],[c_30778,c_1351]) ).

tcf(c_32047,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,max(sK0,sK1))
      | model_max(max(sK0,sK1),sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_30778,c_1440]) ).

tcf(c_32048,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_2865]) ).

tcf(c_32049,plain,
    ( ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_30778,c_2861]) ).

tcf(c_32077,plain,
    ( lesseq(max(sK0,sK1),max(sK0,sK1))
    | ( max(sK0,sK1) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_32038,c_30779]) ).

tcf(c_32085,plain,
    ( model_max(max(sK0,sK1),max(sK0,sK1),max(sK0,sK1))
    | ( max(sK0,sK1) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_32036,c_30779]) ).

tcf(c_32086,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(max(sK0,sK1),X0)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_32030,c_30779]) ).

tcf(c_32092,plain,
    ( ( max(sK0,sK1) = sK0 )
    | ( max(max(sK0,sK1),max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(light_normalisation,[status(thm)],[c_32020,c_30778]) ).

tcf(c_32395,plain,
    ( lesseq(sK1,max(sK0,sK1))
    | model_max(sK0,max(sK0,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_30779,c_24533]) ).

tcf(c_32409,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,max(sK0,sK1),X1)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30779,c_1437]) ).

tcf(c_32414,plain,
    model_max(sK0,max(sK0,sK1),max(sK0,sK1)),
    inference(superposition,[status(thm)],[c_30779,c_1353]) ).

tcf(c_32415,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),X0)
      | ~ model_max(sK0,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30779,c_63]) ).

tcf(c_32416,plain,
    ! [X0: $i] :
      ( model_max(sK0,max(sK0,sK1),X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30779,c_62]) ).

tcf(c_32428,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | model_max(sK0,max(sK0,sK1),X1)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30779,c_3713]) ).

tcf(c_32429,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,max(sK0,sK1),X1)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30779,c_2539]) ).

tcf(c_32430,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | lesseq(X1,max(sK0,sK1))
      | model_max(sK0,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30779,c_2532]) ).

tcf(c_32431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | lesseq(X1,max(sK0,sK1))
      | model_max(sK0,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30779,c_1497]) ).

tcf(c_32432,plain,
    ! [X0: $i] :
      ( model_max(sK0,max(sK0,sK1),X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_30779,c_1851]) ).

tcf(c_32433,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | model_max(sK0,max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30779,c_1351]) ).

tcf(c_32434,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,max(sK0,sK1))
      | model_max(sK0,max(sK0,sK1),max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_30779,c_1440]) ).

tcf(c_32597,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ~ lesseq(X0,sK1) ),
    inference(global_subsumption_just,[status(thm)],[c_24516,c_73,c_80,c_81,c_83,c_85,c_599,c_1875,c_2891,c_2974,c_3626,c_5337,c_5344,c_6543,c_7938,c_8488,c_8937,c_9378,c_15750,c_24043,c_24053,c_24074]) ).

tcf(c_32615,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_32597]) ).

tcf(c_32619,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_32597]) ).

tcf(c_32625,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_32597]) ).

tcf(c_32626,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_32597]) ).

tcf(c_32627,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,X1),sK2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_63,c_32597]) ).

tcf(c_32628,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK5(X0,X1,sK1),sK2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_66,c_32597]) ).

tcf(c_32631,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK5(X0,X1,X2),sK2)
      | ~ lesseq(X2,sK1)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_32597]) ).

tcf(c_32636,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_32597]) ).

tcf(c_32640,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_32597]) ).

tcf(c_32641,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_32597]) ).

tcf(c_32643,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2539,c_32597]) ).

tcf(c_32646,plain,
    ( model_ub(sK0,sK1,sK2)
    | lesseq(max(sK0,sK1),sK2)
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_8693,c_32597]) ).

tcf(c_32648,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_10278,c_32597]) ).

tcf(c_32653,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_32597]) ).

tcf(c_32654,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_32597]) ).

tcf(c_32723,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ lesseq(sK2,sK2)
      | ( sK2 != sK2 )
      | ( X0 != sK2 ) ),
    inference(instantiation,[status(thm)],[c_3689]) ).

tcf(c_32724,plain,
    ( lesseq(sK2,sK0)
    | ~ lesseq(sK2,sK2)
    | ( sK2 != sK2 )
    | ( sK0 != sK2 ) ),
    inference(instantiation,[status(thm)],[c_32723]) ).

tcf(c_32776,plain,
    ( model_max(sK1,sK0,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_32027]) ).

tcf(c_32778,plain,
    ( model_max(sK1,sK0,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_32027]) ).

tcf(c_32783,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK0,sK1),sK0),X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_32027,c_1405]) ).

tcf(c_32784,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(max(max(sK0,sK1),sK0),X0) ),
    inference(superposition,[status(thm)],[c_32027,c_1496]) ).

tcf(c_32786,plain,
    max(max(sK0,sK1),max(max(sK0,sK1),sK0)) = max(sK0,sK1),
    inference(superposition,[status(thm)],[c_32027,c_1390]) ).

tcf(c_32787,plain,
    max(max(max(sK0,sK1),sK0),max(sK0,sK1)) = max(sK0,sK1),
    inference(superposition,[status(thm)],[c_32027,c_1376]) ).

tcf(c_32792,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(max(sK0,sK1),X0) ),
    inference(light_normalisation,[status(thm)],[c_32784,c_30778]) ).

tcf(c_32796,plain,
    max(max(sK0,sK1),max(sK0,sK1)) = max(sK0,sK1),
    inference(light_normalisation,[status(thm)],[c_32787,c_30778]) ).

tcf(c_32819,plain,
    ( model_max(sK0,sK1,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_32414]) ).

tcf(c_32821,plain,
    ( model_max(sK0,sK1,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_32414]) ).

tcf(c_32826,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,max(sK0,sK1)),X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_32414,c_1405]) ).

tcf(c_32827,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(max(sK0,max(sK0,sK1)),X0) ),
    inference(superposition,[status(thm)],[c_32414,c_1496]) ).

tcf(c_32829,plain,
    max(max(sK0,sK1),max(sK0,max(sK0,sK1))) = max(sK0,sK1),
    inference(superposition,[status(thm)],[c_32414,c_1390]) ).

tcf(c_32830,plain,
    max(max(sK0,max(sK0,sK1)),max(sK0,sK1)) = max(sK0,sK1),
    inference(superposition,[status(thm)],[c_32414,c_1376]) ).

tcf(c_32847,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK1,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24420,c_2536]) ).

tcf(c_32850,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_1476]) ).

tcf(c_32852,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24420,c_1461]) ).

tcf(c_32853,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_72]) ).

tcf(c_32855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_60]) ).

tcf(c_32858,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24420,c_1437]) ).

tcf(c_32860,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24420,c_1762]) ).

tcf(c_32861,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24420,c_1733]) ).

tcf(c_32868,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24420,c_6991]) ).

tcf(c_32869,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK1,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24420,c_5498]) ).

tcf(c_32870,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24420,c_55]) ).

tcf(c_32873,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK1,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24420,c_2536]) ).

tcf(c_32874,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24420,c_2529]) ).

tcf(c_32875,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_1530]) ).

tcf(c_32876,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_1476]) ).

tcf(c_32878,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24420,c_1461]) ).

tcf(c_32879,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24420,c_72]) ).

tcf(c_32881,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24420,c_60]) ).

tcf(c_32884,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24420,c_1437]) ).

tcf(c_32886,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(sK1,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24420,c_1762]) ).

tcf(c_32887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(sK1,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24420,c_1733]) ).

tcf(c_32894,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK1,sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24420,c_1824]) ).

tcf(c_32897,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24420,c_6991]) ).

tcf(c_32898,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24420,c_5498]) ).

tcf(c_32903,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(max(sK1,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24420,c_1405]) ).

tcf(c_32904,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24420,c_1496]) ).

tcf(c_32906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_1390]) ).

tcf(c_32907,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_1376]) ).

tcf(c_32909,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK1,sK2) ),
    inference(equality_factoring,[status(thm)],[c_24420]) ).

tcf(c_33154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_2536]) ).

tcf(c_33157,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_1476]) ).

tcf(c_33158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_3134]) ).

tcf(c_33159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_1461]) ).

tcf(c_33160,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24697,c_72]) ).

tcf(c_33162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24697,c_60]) ).

tcf(c_33163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24697,c_68]) ).

tcf(c_33164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24697,c_67]) ).

tcf(c_33165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24697,c_1437]) ).

tcf(c_33166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24697,c_62]) ).

tcf(c_33167,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24697,c_1762]) ).

tcf(c_33168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24697,c_1733]) ).

tcf(c_33174,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24697,c_1824]) ).

tcf(c_33175,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_6991]) ).

tcf(c_33176,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_5498]) ).

tcf(c_33177,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24697,c_55]) ).

tcf(c_33180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_2536]) ).

tcf(c_33181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_2529]) ).

tcf(c_33182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24697,c_1530]) ).

tcf(c_33183,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_1476]) ).

tcf(c_33184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_3134]) ).

tcf(c_33185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_1461]) ).

tcf(c_33186,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_72]) ).

tcf(c_33188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_60]) ).

tcf(c_33189,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_68]) ).

tcf(c_33190,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_67]) ).

tcf(c_33191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24697,c_1437]) ).

tcf(c_33192,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24697,c_62]) ).

tcf(c_33193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24697,c_1762]) ).

tcf(c_33194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24697,c_1733]) ).

tcf(c_33201,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24697,c_1824]) ).

tcf(c_33204,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_6991]) ).

tcf(c_33205,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_5498]) ).

tcf(c_33206,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_2108]) ).

tcf(c_33208,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24697,c_1585]) ).

tcf(c_33210,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24697,c_1405]) ).

tcf(c_33211,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24697,c_1496]) ).

tcf(c_33212,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24697,c_3116]) ).

tcf(c_33213,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_1390]) ).

tcf(c_33214,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_1376]) ).

tcf(c_33240,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_33214,c_24428]) ).

tcf(c_33244,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_33213,c_24428]) ).

tcf(c_33248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_33211,c_24428]) ).

tcf(c_33269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_33210,c_24428]) ).

tcf(c_33274,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_33208,c_24428]) ).

tcf(c_33462,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24700]) ).

tcf(c_33463,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24700]) ).

tcf(c_33464,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_24700]) ).

tcf(c_33465,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_24700]) ).

tcf(c_33469,plain,
    ( model_max(sK2,sK1,max(sK0,sK1))
    | model_max(sK0,max(sK0,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_30779,c_24700]) ).

tcf(c_33470,plain,
    ( model_max(sK2,sK1,max(sK0,sK1))
    | model_max(max(sK0,sK1),sK0,sK2) ),
    inference(superposition,[status(thm)],[c_30778,c_24700]) ).

tcf(c_33471,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_24700]) ).

tcf(c_33472,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_24700]) ).

tcf(c_33473,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_24700]) ).

tcf(c_33474,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_24700]) ).

tcf(c_33475,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_24700]) ).

tcf(c_33476,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_24700]) ).

tcf(c_33477,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_24700]) ).

tcf(c_33478,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_24700]) ).

tcf(c_33484,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24700,c_2108]) ).

tcf(c_33486,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24700,c_1585]) ).

tcf(c_33488,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK2,sK1),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_24700,c_1405]) ).

tcf(c_33489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(max(sK2,sK1),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24700,c_1496]) ).

tcf(c_33491,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),max(sK2,sK1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24700,c_1390]) ).

tcf(c_33492,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(sK2,sK1),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24700,c_1376]) ).

tcf(c_33498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(light_normalisation,[status(thm)],[c_33489,c_24428]) ).

tcf(c_33514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(light_normalisation,[status(thm)],[c_33488,c_24428]) ).

tcf(c_33518,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_33486,c_24428]) ).

tcf(c_33523,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(light_normalisation,[status(thm)],[c_33492,c_24428]) ).

tcf(c_33526,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(light_normalisation,[status(thm)],[c_33491,c_24428]) ).

tcf(c_33761,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_2536]) ).

tcf(c_33764,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_1476]) ).

tcf(c_33765,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_3134]) ).

tcf(c_33766,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24839,c_1461]) ).

tcf(c_33767,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_72]) ).

tcf(c_33769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_60]) ).

tcf(c_33770,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24839,c_68]) ).

tcf(c_33771,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24839,c_67]) ).

tcf(c_33772,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24839,c_1437]) ).

tcf(c_33773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24839,c_62]) ).

tcf(c_33774,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24839,c_1762]) ).

tcf(c_33775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24839,c_1733]) ).

tcf(c_33781,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK1,sK2,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24839,c_1824]) ).

tcf(c_33782,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24839,c_6991]) ).

tcf(c_33783,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24839,c_5498]) ).

tcf(c_33784,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24839,c_55]) ).

tcf(c_33787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_2536]) ).

tcf(c_33788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_2529]) ).

tcf(c_33789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_1530]) ).

tcf(c_33790,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_1476]) ).

tcf(c_33791,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_3134]) ).

tcf(c_33792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24839,c_1461]) ).

tcf(c_33793,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_72]) ).

tcf(c_33795,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_60]) ).

tcf(c_33796,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_68]) ).

tcf(c_33797,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24839,c_67]) ).

tcf(c_33798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24839,c_1437]) ).

tcf(c_33799,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24839,c_62]) ).

tcf(c_33800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24839,c_1762]) ).

tcf(c_33801,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24839,c_1733]) ).

tcf(c_33808,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK1,sK2,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24839,c_1824]) ).

tcf(c_33811,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24839,c_6991]) ).

tcf(c_33812,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24839,c_5498]) ).

tcf(c_33817,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24839,c_1405]) ).

tcf(c_33818,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_24839,c_1496]) ).

tcf(c_33819,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_3116]) ).

tcf(c_33820,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_1390]) ).

tcf(c_33821,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_1376]) ).

tcf(c_34040,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK1))
      | ~ lesseq(sK2,sK2)
      | ( sK2 != sK2 )
      | ( max(X0,sK1) != sK2 ) ),
    inference(instantiation,[status(thm)],[c_13801]) ).

tcf(c_34041,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | ~ lesseq(sK2,sK2)
    | ( sK2 != sK2 )
    | ( max(sK0,sK1) != sK2 ) ),
    inference(instantiation,[status(thm)],[c_34040]) ).

tcf(c_34092,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24842]) ).

tcf(c_34093,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24842]) ).

tcf(c_34094,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_24842]) ).

tcf(c_34095,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_24842]) ).

tcf(c_34099,plain,
    ( model_max(sK1,sK2,max(sK0,sK1))
    | model_max(sK0,max(sK0,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_30779,c_24842]) ).

tcf(c_34100,plain,
    ( model_max(sK1,sK2,max(sK0,sK1))
    | model_max(max(sK0,sK1),sK0,sK2) ),
    inference(superposition,[status(thm)],[c_30778,c_24842]) ).

tcf(c_34101,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_24842]) ).

tcf(c_34102,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_24842]) ).

tcf(c_34103,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_24842]) ).

tcf(c_34104,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_24842]) ).

tcf(c_34105,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_24842]) ).

tcf(c_34106,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_24842]) ).

tcf(c_34107,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_24842]) ).

tcf(c_34108,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_24842]) ).

tcf(c_34118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK1,sK2),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_24842,c_1405]) ).

tcf(c_34119,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(max(sK1,sK2),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24842,c_1496]) ).

tcf(c_34121,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),max(sK1,sK2)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24842,c_1390]) ).

tcf(c_34122,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(sK1,sK2),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24842,c_1376]) ).

tcf(c_34325,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_25014,c_55]) ).

tcf(c_34329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_2529]) ).

tcf(c_34330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_1530]) ).

tcf(c_34331,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25014,c_1476]) ).

tcf(c_34332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_3134]) ).

tcf(c_34333,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25014,c_1461]) ).

tcf(c_34334,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( X0 = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25014,c_72]) ).

tcf(c_34336,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25014,c_60]) ).

tcf(c_34337,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25014,c_68]) ).

tcf(c_34338,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25014,c_67]) ).

tcf(c_34340,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25014,c_55]) ).

tcf(c_34341,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_26068]) ).

tcf(c_34342,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_24518]) ).

tcf(c_34344,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25014,c_2529]) ).

tcf(c_34345,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_1530]) ).

tcf(c_34346,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25014,c_1476]) ).

tcf(c_34348,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25014,c_1461]) ).

tcf(c_34349,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25014,c_72]) ).

tcf(c_34351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25014,c_60]) ).

tcf(c_34354,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25014,c_1437]) ).

tcf(c_34356,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25014,c_1762]) ).

tcf(c_34357,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25014,c_1733]) ).

tcf(c_34364,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(X0,X0,sK2)
      | lesseq(sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25014,c_1824]) ).

tcf(c_34367,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25014,c_6991]) ).

tcf(c_34368,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25014,c_5498]) ).

tcf(c_34373,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25014,c_1405]) ).

tcf(c_34374,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25014,c_1496]) ).

tcf(c_34376,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25014,c_1390]) ).

tcf(c_34377,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25014,c_1376]) ).

tcf(c_34379,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK1,sK1,sK2) ),
    inference(equality_factoring,[status(thm)],[c_25014]) ).

tcf(c_34620,plain,
    ( model_max(sK1,sK2,sK1)
    | model_max(sK1,sK0,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_24842]) ).

tcf(c_34621,plain,
    ( model_max(sK2,sK1,sK1)
    | model_max(sK1,sK0,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_24700]) ).

tcf(c_34622,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK1,sK0,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_25708]) ).

tcf(c_34623,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK1,sK0,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_24533]) ).

tcf(c_34624,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25395,c_4121]) ).

tcf(c_34630,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK1) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25395,c_2865]) ).

tcf(c_34634,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25395,c_4543]) ).

tcf(c_34635,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25395,c_2861]) ).

tcf(c_34637,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25395,c_1437]) ).

tcf(c_34641,plain,
    ( ( sK0 = sK2 )
    | ( sK0 = sK1 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25395,c_1462]) ).

tcf(c_34645,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25395,c_4126]) ).

tcf(c_34651,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25395,c_14802]) ).

tcf(c_34655,plain,
    ( ( sK0 = sK2 )
    | ( sK0 = sK1 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25395,c_1463]) ).

tcf(c_34656,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_3713]) ).

tcf(c_34657,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_2539]) ).

tcf(c_34658,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK1,sK0,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_2532]) ).

tcf(c_34659,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_1497]) ).

tcf(c_34662,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(sK1,sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_1440]) ).

tcf(c_34663,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_25459]) ).

tcf(c_34779,plain,
    ( model_max(sK1,sK2,sK1)
    | model_max(sK0,sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_24842]) ).

tcf(c_34780,plain,
    ( model_max(sK2,sK1,sK1)
    | model_max(sK0,sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_24700]) ).

tcf(c_34781,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK0,sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_25708]) ).

tcf(c_34782,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK0,sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_24533]) ).

tcf(c_34794,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK0 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25396,c_2861]) ).

tcf(c_34796,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_1437]) ).

tcf(c_34802,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_63]) ).

tcf(c_34803,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_62]) ).

tcf(c_34815,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_3713]) ).

tcf(c_34816,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_2539]) ).

tcf(c_34817,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK1,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_2532]) ).

tcf(c_34818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_1497]) ).

tcf(c_34819,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_1851]) ).

tcf(c_34820,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_1351]) ).

tcf(c_34821,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(sK0,sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_1440]) ).

tcf(c_34822,plain,
    ( model_max(sK0,sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_32414]) ).

tcf(c_34825,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_28942]) ).

tcf(c_34826,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_30773]) ).

tcf(c_34829,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_28941]) ).

tcf(c_34830,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_27446]) ).

tcf(c_34831,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_30777]) ).

tcf(c_34832,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_30776]) ).

tcf(c_34833,plain,
    ( lesseq(sK0,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_30759]) ).

tcf(c_34835,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_27445]) ).

tcf(c_34837,plain,
    ( lesseq(sK1,sK1)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_25045]) ).

tcf(c_34840,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_ub(sK0,sK1,sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_8693]) ).

tcf(c_34841,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_3542]) ).

tcf(c_34842,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_1824]) ).

tcf(c_34844,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | minsol_model_ub(sK0,sK1,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_1823]) ).

tcf(c_34845,plain,
    ( lesseq(sK2,sK1)
    | minsol_model_ub(sK0,sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_1805]) ).

tcf(c_35148,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_1462,c_32627]) ).

tcf(c_35149,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X0 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_1462,c_32627]) ).

tcf(c_35150,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_1477,c_32627]) ).

tcf(c_35151,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X0 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_1463,c_32627]) ).

tcf(c_35152,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ~ model_max(X0,X0,sK1) ),
    inference(superposition,[status(thm)],[c_1375,c_32627]) ).

tcf(c_35154,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(max(sK0,sK1),sK2,sK1) ),
    inference(superposition,[status(thm)],[c_28908,c_32627]) ).

tcf(c_35155,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK2,max(sK0,sK1),sK1) ),
    inference(superposition,[status(thm)],[c_27409,c_32627]) ).

tcf(c_35157,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ~ model_max(sK0,max(sK0,sK1),sK1) ),
    inference(superposition,[status(thm)],[c_30779,c_32627]) ).

tcf(c_35158,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ~ model_max(max(sK0,sK1),sK0,sK1) ),
    inference(superposition,[status(thm)],[c_30778,c_32627]) ).

tcf(c_35159,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X0 )
      | ~ model_max(max(X0,X1),X1,sK1) ),
    inference(superposition,[status(thm)],[c_2864,c_32627]) ).

tcf(c_35160,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X0 )
      | ~ model_max(max(X0,X1),X1,sK1) ),
    inference(superposition,[status(thm)],[c_2860,c_32627]) ).

tcf(c_35161,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(max(X0,X1),X0,sK1) ),
    inference(superposition,[status(thm)],[c_2865,c_32627]) ).

tcf(c_35162,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(max(X0,X1),X0,sK1) ),
    inference(superposition,[status(thm)],[c_2861,c_32627]) ).

tcf(c_35163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(X0,max(X1,X0),sK1) ),
    inference(superposition,[status(thm)],[c_3000,c_32627]) ).

tcf(c_35164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(X0,max(X1,X0),sK1) ),
    inference(superposition,[status(thm)],[c_2995,c_32627]) ).

tcf(c_35165,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ~ model_max(X0,max(X0,X1),sK1) ),
    inference(superposition,[status(thm)],[c_3001,c_32627]) ).

tcf(c_35166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ~ model_max(X0,max(X0,X1),sK1) ),
    inference(superposition,[status(thm)],[c_2996,c_32627]) ).

tcf(c_35167,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK2,sK0,sK1) ),
    inference(superposition,[status(thm)],[c_25410,c_32627]) ).

tcf(c_35168,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK0,sK2,sK1) ),
    inference(superposition,[status(thm)],[c_25411,c_32627]) ).

tcf(c_35169,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK1,sK2,sK1) ),
    inference(superposition,[status(thm)],[c_24429,c_32627]) ).

tcf(c_35170,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK2,sK1,sK1) ),
    inference(superposition,[status(thm)],[c_24428,c_32627]) ).

tcf(c_35171,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK2,sK5(sK0,sK1,sK2),sK1) ),
    inference(superposition,[status(thm)],[c_31045,c_32627]) ).

tcf(c_35174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X2,X2,X3)
      | lesseq(max(X0,X1),X2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_2536]) ).

tcf(c_35175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(max(X0,X1),max(X0,X1),X2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_2529]) ).

tcf(c_35176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_1530]) ).

tcf(c_35177,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | ( max(X2,max(X0,X1)) = X2 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_1476]) ).

tcf(c_35178,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(max(X0,X1),max(X0,X1),X2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_3134]) ).

tcf(c_35179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | ( max(max(X0,X1),X2) = X2 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_1461]) ).

tcf(c_35180,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = sK2 )
      | ~ model_max(X0,X1,sK1)
      | ~ lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_32627,c_72]) ).

tcf(c_35181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_1402]) ).

tcf(c_35182,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X0,X1),X2)
      | ~ lesseq(sK2,X2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_60]) ).

tcf(c_35183,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK2,max(X0,X1)) = sK2 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_68]) ).

tcf(c_35184,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(max(X0,X1),sK2) = sK2 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_67]) ).

tcf(c_35185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_1437]) ).

tcf(c_35186,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_62]) ).

tcf(c_35188,plain,
    ( lesseq(sK2,sK2)
    | minsol_model_ub(sK0,sK1,sK2)
    | ~ model_max(sK0,sK1,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_1824]) ).

tcf(c_35426,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35186]) ).

tcf(c_35427,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35186]) ).

tcf(c_35435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_35186]) ).

tcf(c_35439,plain,
    model_max(sK1,sK1,sK2),
    inference(superposition,[status(thm)],[c_1412,c_35186]) ).

tcf(c_35445,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3876,c_35186]) ).

tcf(c_35446,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_3349,c_35186]) ).

tcf(c_35450,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1414,c_35186]) ).

tcf(c_35451,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_35186]) ).

tcf(c_35452,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1957,c_35186]) ).

tcf(c_35453,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X0,sK2)
      | ( max(X1,X0) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1581,c_35186]) ).

tcf(c_35454,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1584,c_35186]) ).

tcf(c_35455,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(X1,X0) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2109,c_35186]) ).

tcf(c_35456,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1586,c_35186]) ).

tcf(c_35458,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35186]) ).

tcf(c_35459,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35186]) ).

tcf(c_35460,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35186]) ).

tcf(c_35462,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35186]) ).

tcf(c_35463,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35186]) ).

tcf(c_35464,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35186]) ).

tcf(c_35466,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2868,c_35186]) ).

tcf(c_35467,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_1906,c_35186]) ).

tcf(c_35468,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1955,c_35186]) ).

tcf(c_35469,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35186]) ).

tcf(c_35470,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35186]) ).

tcf(c_35473,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2107,c_35186]) ).

tcf(c_35474,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35186]) ).

tcf(c_35477,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_35186]) ).

tcf(c_35478,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35186]) ).

tcf(c_35481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_3713,c_35186]) ).

tcf(c_35484,plain,
    ! [X0: $i] :
      ( model_max(max(X0,sK1),sK1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2933,c_35186]) ).

tcf(c_35485,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK2,sK2,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_35186]) ).

tcf(c_35486,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK2,sK2,sK2)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5494,c_35186]) ).

tcf(c_35487,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,X0),sK1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_4543,c_35186]) ).

tcf(c_35503,plain,
    ( model_max(sK1,sK0,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25470,c_35186]) ).

tcf(c_35504,plain,
    ! [X0: $i] :
      ( model_max(max(X0,sK1),sK1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_14507,c_35186]) ).

tcf(c_35505,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,X0),sK1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_14802,c_35186]) ).

tcf(c_35506,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(X0,sK1),sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_18019,c_35186]) ).

tcf(c_35507,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(X0,sK1),sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_15027,c_35186]) ).

tcf(c_35508,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,X0),sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_17780,c_35186]) ).

tcf(c_35509,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,X0),sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_18316,c_35186]) ).

tcf(c_35788,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_26066]) ).

tcf(c_35789,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_26066]) ).

tcf(c_35799,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_26066]) ).

tcf(c_35802,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1373,c_26066]) ).

tcf(c_35804,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_26066]) ).

tcf(c_35805,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_26066]) ).

tcf(c_35807,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_26066]) ).

tcf(c_35808,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | ( X1 = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_26066]) ).

tcf(c_35809,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_26066]) ).

tcf(c_35810,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_26066]) ).

tcf(c_35811,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( X1 = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_26066]) ).

tcf(c_35814,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_26066]) ).

tcf(c_35815,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_26066]) ).

tcf(c_35816,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = sK0 )
      | ~ model_max(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_63,c_26066]) ).

tcf(c_35817,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK5(X0,X1,sK0),sK2)
      | ( sK5(X0,X1,sK0) = sK0 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_66,c_26066]) ).

tcf(c_35818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( X1 = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_26066]) ).

tcf(c_35819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X1 = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_26066]) ).

tcf(c_35820,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK5(X0,X1,X2),sK2)
      | ( sK5(X0,X1,X2) = sK0 )
      | ~ lesseq(X2,sK0)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_26066]) ).

tcf(c_35821,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ( sK5(X0,X1,X2) = sK0 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_26066]) ).

tcf(c_35826,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( X1 = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_26066]) ).

tcf(c_35827,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_26066]) ).

tcf(c_35828,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_26066]) ).

tcf(c_35829,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X1 = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_26066]) ).

tcf(c_35830,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1494,c_26066]) ).

tcf(c_35831,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_26066]) ).

tcf(c_35832,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_26066]) ).

tcf(c_35833,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_26066]) ).

tcf(c_35834,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(X1,X2,X0)
      | model_max(sK0,sK0,max(X1,X2))
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_26066]) ).

tcf(c_35835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_26066]) ).

tcf(c_35836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_26066]) ).

tcf(c_35837,plain,
    ( model_ub(sK0,sK1,sK2)
    | lesseq(max(sK0,sK1),sK2)
    | ( max(sK0,sK1) = sK0 )
    | ~ lesseq(sK2,sK0) ),
    inference(superposition,[status(thm)],[c_8693,c_26066]) ).

tcf(c_35843,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_26066]) ).

tcf(c_35844,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_5497,c_26066]) ).

tcf(c_35846,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X1,X0) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_26066]) ).

tcf(c_35847,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X1,X0) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_26066]) ).

tcf(c_36073,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35439,c_1405]) ).

tcf(c_36074,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_35439,c_1496]) ).

tcf(c_36076,plain,
    max(sK2,max(sK1,sK1)) = sK2,
    inference(superposition,[status(thm)],[c_35439,c_1390]) ).

tcf(c_36077,plain,
    max(max(sK1,sK1),sK2) = sK2,
    inference(superposition,[status(thm)],[c_35439,c_1376]) ).

tcf(c_36147,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34833,c_2536]) ).

tcf(c_36148,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34833,c_2529]) ).

tcf(c_36149,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34833,c_1530]) ).

tcf(c_36150,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34833,c_1476]) ).

tcf(c_36152,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34833,c_1461]) ).

tcf(c_36153,plain,
    ( ( sK0 = sK2 )
    | ( sK0 = sK1 )
    | ~ lesseq(sK1,sK0) ),
    inference(superposition,[status(thm)],[c_34833,c_72]) ).

tcf(c_36209,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34822,c_1405]) ).

tcf(c_36210,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK0,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34822,c_1496]) ).

tcf(c_36212,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK0,sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_34822,c_1390]) ).

tcf(c_36213,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK0,sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_34822,c_1376]) ).

tcf(c_36216,plain,
    ( model_max(sK0,sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34822,c_35186]) ).

tcf(c_36267,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(X0,X0),sK1) = max(X0,X0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_35152]) ).

tcf(c_36270,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK1,max(X0,X0)) = max(X0,X0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_35152]) ).

tcf(c_36271,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_3713,c_35152]) ).

tcf(c_36272,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_2539,c_35152]) ).

tcf(c_36273,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | lesseq(X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_35152]) ).

tcf(c_36274,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(X1,X1)) ),
    inference(superposition,[status(thm)],[c_1497,c_35152]) ).

tcf(c_36295,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35152]) ).

tcf(c_36296,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35152]) ).

tcf(c_36299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35152]) ).

tcf(c_36300,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35152]) ).

tcf(c_36405,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,X0),X1)
      | ~ lesseq(sK2,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_35450,c_1405]) ).

tcf(c_36406,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_35450,c_1496]) ).

tcf(c_36407,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_35450,c_3116]) ).

tcf(c_36408,plain,
    ! [X0: $i] :
      ( ( max(sK2,max(X0,X0)) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_35450,c_1390]) ).

tcf(c_36409,plain,
    ! [X0: $i] :
      ( ( max(max(X0,X0),sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_35450,c_1376]) ).

tcf(c_36414,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_36409,c_1375]) ).

tcf(c_36417,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_36408,c_1375]) ).

tcf(c_36420,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_36406,c_1375]) ).

tcf(c_36424,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ~ lesseq(sK2,X1)
      | ~ lesseq(X0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_36405,c_1375]) ).

tcf(c_36436,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK1,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_35467,c_1405]) ).

tcf(c_36437,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_35467,c_1496]) ).

tcf(c_36439,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_35467,c_1390]) ).

tcf(c_36440,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35467,c_1376]) ).

tcf(c_36448,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35467,c_1405]) ).

tcf(c_36449,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_35467,c_1496]) ).

tcf(c_36451,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35467,c_1390]) ).

tcf(c_36452,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35467,c_1376]) ).

tcf(c_36454,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_36452,c_1375]) ).

tcf(c_36457,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_36451,c_1375]) ).

tcf(c_36515,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35503,c_1405]) ).

tcf(c_36516,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35503,c_1496]) ).

tcf(c_36517,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35503,c_3116]) ).

tcf(c_36518,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35503,c_1390]) ).

tcf(c_36519,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35503,c_1376]) ).

tcf(c_36557,plain,
    model_max(sK0,sK1,sK2),
    inference(global_subsumption_just,[status(thm)],[c_36216,c_73,c_80,c_81,c_83,c_85,c_599,c_1639,c_1875,c_2072,c_2485,c_2891,c_2974,c_3364,c_3625,c_3626,c_5341,c_5344,c_6233,c_6543,c_6572,c_7938,c_8488,c_8937,c_9378,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27178]) ).

tcf(c_36563,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36557,c_1405]) ).

tcf(c_36564,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_36557,c_1496]) ).

tcf(c_36565,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36557,c_3116]) ).

tcf(c_36569,plain,
    ( lesseq(sK2,sK2)
    | minsol_model_ub(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_36557,c_488]) ).

tcf(c_36585,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36565,c_1405]) ).

tcf(c_36586,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_36565,c_1496]) ).

tcf(c_36587,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36565,c_3116]) ).

tcf(c_36588,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_36565,c_1390]) ).

tcf(c_36589,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36565,c_1376]) ).

tcf(c_36591,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | minsol_model_ub(sK0,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_36565,c_488]) ).

tcf(c_36638,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK0,max(X0,X1))
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_30922]) ).

tcf(c_36639,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | lesseq(sK0,max(X0,X1))
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_30922]) ).

tcf(c_36640,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK0,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1477,c_30922]) ).

tcf(c_36641,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | lesseq(sK0,max(X0,X1))
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_30922]) ).

tcf(c_36642,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | lesseq(sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25396,c_30922]) ).

tcf(c_36643,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(sK0,sK1))
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_30922,c_2108]) ).

tcf(c_36644,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_30922,c_1956]) ).

tcf(c_36645,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_30922,c_1585]) ).

tcf(c_36646,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(sK0,sK1))
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_30922,c_1580]) ).

tcf(c_36647,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,max(X1,X2))
      | lesseq(max(X1,X2),X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_30922,c_1405]) ).

tcf(c_36648,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,max(sK0,sK1))
      | lesseq(sK0,max(X0,X1))
      | lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_30922,c_1496]) ).

tcf(c_36650,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | ( max(max(sK0,sK1),max(X0,X1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30922,c_1390]) ).

tcf(c_36651,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | ( max(max(X0,X1),max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30922,c_1376]) ).

tcf(c_36654,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK0,sK1))
      | lesseq(sK0,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_30922,c_1413]) ).

tcf(c_36655,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_30922,c_25625]) ).

tcf(c_36657,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_30922,c_25543]) ).

tcf(c_36660,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_30922,c_24681]) ).

tcf(c_36661,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_30922,c_24823]) ).

tcf(c_36662,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(sK2,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_30922,c_27445]) ).

tcf(c_36663,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(max(sK0,sK1),sK2)) ),
    inference(superposition,[status(thm)],[c_30922,c_28941]) ).

tcf(c_36664,plain,
    ( lesseq(sK0,sK2)
    | lesseq(sK2,max(sK0,sK1)) ),
    inference(light_normalisation,[status(thm)],[c_36661,c_24429]) ).

tcf(c_36813,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK2,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_1904,c_31071]) ).

tcf(c_36814,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK2,sK5(sK0,sK1,sK2)),X0) = max(sK2,sK5(sK0,sK1,sK2)) ) ),
    inference(superposition,[status(thm)],[c_1438,c_31071]) ).

tcf(c_36817,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK2,sK5(sK0,sK1,sK2))) = max(sK2,sK5(sK0,sK1,sK2)) ) ),
    inference(superposition,[status(thm)],[c_1439,c_31071]) ).

tcf(c_36818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_3713,c_31071]) ).

tcf(c_36819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_2539,c_31071]) ).

tcf(c_36820,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_2532,c_31071]) ).

tcf(c_36821,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_1497,c_31071]) ).

tcf(c_36822,plain,
    lesseq(sK2,max(sK2,sK5(sK0,sK1,sK2))),
    inference(superposition,[status(thm)],[c_1353,c_31071]) ).

tcf(c_36823,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_1440,c_31071]) ).

tcf(c_36826,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 )
      | ~ lesseq(sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_1957,c_31071]) ).

tcf(c_36831,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_30922,c_31071]) ).

tcf(c_36832,plain,
    ( lesseq(sK2,sK5(sK0,sK1,sK2))
    | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1955,c_31071]) ).

tcf(c_36833,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_2111,c_31071]) ).

tcf(c_36834,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK5(sK0,sK1,sK2))
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1958,c_31071]) ).

tcf(c_36859,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( sK5(sK0,sK1,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_36813,c_31045]) ).

tcf(c_36984,plain,
    ! [X0: $i] :
      ( lesseq(sK5(sK0,sK1,sK2),X0)
      | ( max(sK5(sK0,sK1,sK2),sK2) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31072,c_1956]) ).

tcf(c_36987,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK5(sK0,sK1,sK2)),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_31072,c_1405]) ).

tcf(c_36988,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31072,c_1496]) ).

tcf(c_36990,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK2,sK5(sK0,sK1,sK2))) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31072,c_1390]) ).

tcf(c_36991,plain,
    ! [X0: $i] :
      ( ( max(max(sK2,sK5(sK0,sK1,sK2)),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31072,c_1376]) ).

tcf(c_37013,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK0,sK1))
      | lesseq(sK4(X0,X1,max(sK0,sK1)),sK2)
      | ~ model_ub(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_36564,c_55]) ).

tcf(c_37016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_36564,c_2536]) ).

tcf(c_37017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK0,sK1),max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_36564,c_2529]) ).

tcf(c_37018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_36564,c_1530]) ).

tcf(c_37019,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_36564,c_1476]) ).

tcf(c_37020,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(max(sK0,sK1),max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_36564,c_3134]) ).

tcf(c_37021,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36564,c_1461]) ).

tcf(c_37022,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK0,sK1) = X0 )
      | ~ lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_36564,c_72]) ).

tcf(c_37097,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_36563]) ).

tcf(c_37099,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_36563]) ).

tcf(c_37100,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25396,c_36563]) ).

tcf(c_37101,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK0,sK1))
      | ~ model_ub(X0,X1,max(sK0,sK1))
      | ~ lesseq(sK2,sK4(X0,X1,max(sK0,sK1))) ),
    inference(superposition,[status(thm)],[c_36563,c_55]) ).

tcf(c_37102,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_26068]) ).

tcf(c_37103,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_24518]) ).

tcf(c_37104,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_2536]) ).

tcf(c_37105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(max(sK0,sK1),max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_2529]) ).

tcf(c_37106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_1530]) ).

tcf(c_37107,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,max(sK0,sK1)) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_1476]) ).

tcf(c_37108,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK0,sK1),max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_3134]) ).

tcf(c_37109,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(max(sK0,sK1),X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_1461]) ).

tcf(c_37110,plain,
    ! [X0: $i] :
      ( ( max(sK0,sK1) = X0 )
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_36563,c_72]) ).

tcf(c_37111,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_1402]) ).

tcf(c_37112,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK1),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36563,c_60]) ).

tcf(c_37113,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK0,sK1)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_68]) ).

tcf(c_37114,plain,
    ! [X0: $i] :
      ( ( max(max(sK0,sK1),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_67]) ).

tcf(c_37115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_1437]) ).

tcf(c_37116,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36563,c_62]) ).

tcf(c_37119,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_36563,c_32597]) ).

tcf(c_37120,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | ( max(sK0,sK1) = sK0 )
    | ~ lesseq(sK2,sK0) ),
    inference(superposition,[status(thm)],[c_36563,c_26066]) ).

tcf(c_37273,plain,
    lesseq(max(sK0,sK1),sK2),
    inference(global_subsumption_just,[status(thm)],[c_37119,c_73,c_80,c_81,c_83,c_85,c_599,c_1639,c_1875,c_2072,c_2485,c_2891,c_2974,c_3364,c_3626,c_5341,c_5344,c_6233,c_6543,c_6572,c_7938,c_8488,c_8937,c_9378,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27178]) ).

tcf(c_37284,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_37273,c_2536]) ).

tcf(c_37288,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(max(sK0,sK1),max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_37273,c_3134]) ).

tcf(c_37290,plain,
    ( ( max(sK0,sK1) = sK2 )
    | ~ lesseq(sK2,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_37273,c_72]) ).

tcf(c_37316,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25401,c_1405]) ).

tcf(c_37317,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25401,c_1496]) ).

tcf(c_37319,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25401,c_1390]) ).

tcf(c_37320,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25401,c_1376]) ).

tcf(c_37341,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK0,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_2536]) ).

tcf(c_37344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_1476]) ).

tcf(c_37345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK0,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_3134]) ).

tcf(c_37346,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25402,c_1461]) ).

tcf(c_37347,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_72]) ).

tcf(c_37349,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_60]) ).

tcf(c_37352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25402,c_1437]) ).

tcf(c_37354,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25402,c_1762]) ).

tcf(c_37355,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25402,c_1733]) ).

tcf(c_37364,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25402,c_55]) ).

tcf(c_37367,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK0,sK0,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_2536]) ).

tcf(c_37368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_2529]) ).

tcf(c_37369,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_1530]) ).

tcf(c_37370,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_1476]) ).

tcf(c_37371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_3134]) ).

tcf(c_37372,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25402,c_1461]) ).

tcf(c_37373,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_72]) ).

tcf(c_37375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_60]) ).

tcf(c_37376,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_68]) ).

tcf(c_37377,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25402,c_67]) ).

tcf(c_37378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25402,c_1437]) ).

tcf(c_37379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25402,c_62]) ).

tcf(c_37380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(sK0,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25402,c_1762]) ).

tcf(c_37381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(sK0,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25402,c_1733]) ).

tcf(c_37392,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25402,c_6991]) ).

tcf(c_37393,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25402,c_5498]) ).

tcf(c_37398,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(max(sK0,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25402,c_1405]) ).

tcf(c_37399,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25402,c_1496]) ).

tcf(c_37401,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_1390]) ).

tcf(c_37402,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_1376]) ).

tcf(c_37719,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK2,sK0) = sK0 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25437,c_1956]) ).

tcf(c_37722,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK2),X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_25437,c_1405]) ).

tcf(c_37723,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,sK2),X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25437,c_1496]) ).

tcf(c_37724,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25437,c_3116]) ).

tcf(c_37725,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK0,max(sK0,sK2)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25437,c_1390]) ).

tcf(c_37726,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(max(sK0,sK2),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25437,c_1376]) ).

tcf(c_37747,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_25454]) ).

tcf(c_37752,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK1,sK0),sK1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25454,c_1405]) ).

tcf(c_37753,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(max(sK1,sK0),sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25454,c_1496]) ).

tcf(c_37754,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25454,c_3116]) ).

tcf(c_37755,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(max(sK1,sK0),sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25454,c_1390]) ).

tcf(c_37756,plain,
    ( ( sK0 = sK2 )
    | ( max(max(max(sK1,sK0),sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25454,c_1376]) ).

tcf(c_37757,plain,
    ( model_max(max(sK1,sK0),sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25454,c_35186]) ).

tcf(c_37825,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,max(sK1,sK0)),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25458,c_1405]) ).

tcf(c_37826,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,max(sK1,sK0)),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25458,c_1496]) ).

tcf(c_37827,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25458,c_3116]) ).

tcf(c_37828,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK1,max(sK1,sK0))) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25458,c_1390]) ).

tcf(c_37829,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,max(sK1,sK0)),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25458,c_1376]) ).

tcf(c_37830,plain,
    ( model_max(sK1,max(sK1,sK0),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25458,c_35186]) ).

tcf(c_37855,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_2536]) ).

tcf(c_37858,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_1476]) ).

tcf(c_37859,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_3134]) ).

tcf(c_37860,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25559,c_1461]) ).

tcf(c_37861,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_72]) ).

tcf(c_37863,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_60]) ).

tcf(c_37864,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25559,c_68]) ).

tcf(c_37865,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25559,c_67]) ).

tcf(c_37866,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25559,c_1437]) ).

tcf(c_37867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25559,c_62]) ).

tcf(c_37868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25559,c_1762]) ).

tcf(c_37869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25559,c_1733]) ).

tcf(c_37875,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK0,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25559,c_1824]) ).

tcf(c_37878,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25559,c_55]) ).

tcf(c_37881,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_2536]) ).

tcf(c_37882,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_2529]) ).

tcf(c_37883,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_1530]) ).

tcf(c_37884,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_1476]) ).

tcf(c_37885,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_3134]) ).

tcf(c_37886,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25559,c_1461]) ).

tcf(c_37887,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_72]) ).

tcf(c_37889,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_60]) ).

tcf(c_37890,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_68]) ).

tcf(c_37891,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25559,c_67]) ).

tcf(c_37892,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25559,c_1437]) ).

tcf(c_37893,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25559,c_62]) ).

tcf(c_37894,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25559,c_1762]) ).

tcf(c_37895,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25559,c_1733]) ).

tcf(c_37908,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_2108]) ).

tcf(c_37910,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_1585]) ).

tcf(c_37912,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25559,c_1405]) ).

tcf(c_37913,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25559,c_1496]) ).

tcf(c_37914,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_3116]) ).

tcf(c_37915,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_1390]) ).

tcf(c_37916,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_1376]) ).

tcf(c_37965,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_37910,c_25410]) ).

tcf(c_38215,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25562]) ).

tcf(c_38216,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25562]) ).

tcf(c_38217,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_25562]) ).

tcf(c_38218,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_25562]) ).

tcf(c_38224,plain,
    ( model_max(sK2,sK0,max(sK0,sK1))
    | model_max(sK0,max(sK0,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_30779,c_25562]) ).

tcf(c_38225,plain,
    ( model_max(sK2,sK0,max(sK0,sK1))
    | model_max(max(sK0,sK1),sK0,sK2) ),
    inference(superposition,[status(thm)],[c_30778,c_25562]) ).

tcf(c_38226,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_25562]) ).

tcf(c_38227,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_25562]) ).

tcf(c_38228,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_25562]) ).

tcf(c_38229,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_25562]) ).

tcf(c_38230,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_25562]) ).

tcf(c_38231,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_25562]) ).

tcf(c_38232,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_25562]) ).

tcf(c_38233,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_25562]) ).

tcf(c_38239,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25562,c_2108]) ).

tcf(c_38241,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25562,c_1585]) ).

tcf(c_38243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK2,sK0),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25562,c_1405]) ).

tcf(c_38244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(max(sK2,sK0),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25562,c_1496]) ).

tcf(c_38246,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),max(sK2,sK0)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25562,c_1390]) ).

tcf(c_38247,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(sK2,sK0),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25562,c_1376]) ).

tcf(c_38269,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_38241,c_25410]) ).

tcf(c_38422,plain,
    max(sK5(sK0,sK1,sK2),sK2) = sK2,
    inference(global_subsumption_just,[status(thm)],[c_10302,c_5533,c_8275,c_24950]) ).

tcf(c_38428,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK5(sK0,sK1,sK2),sK2,sK1) ),
    inference(superposition,[status(thm)],[c_38422,c_32627]) ).

tcf(c_38446,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK5(sK0,sK1,sK2),sK2,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_1437]) ).

tcf(c_38451,plain,
    model_max(sK5(sK0,sK1,sK2),sK2,sK2),
    inference(superposition,[status(thm)],[c_38422,c_1353]) ).

tcf(c_38452,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_63]) ).

tcf(c_38453,plain,
    ! [X0: $i] :
      ( model_max(sK5(sK0,sK1,sK2),sK2,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_62]) ).

tcf(c_38465,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_3713]) ).

tcf(c_38466,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_2539]) ).

tcf(c_38467,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_2532]) ).

tcf(c_38468,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_1497]) ).

tcf(c_38469,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_1851]) ).

tcf(c_38470,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38422,c_1351]) ).

tcf(c_38471,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK5(sK0,sK1,sK2),sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38422,c_1440]) ).

tcf(c_38505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X2,X2,X3)
      | lesseq(sK5(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_2536]) ).

tcf(c_38506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK5(X0,X1,sK1),sK5(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_2529]) ).

tcf(c_38507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(sK5(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_1530]) ).

tcf(c_38508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | ( max(X2,sK5(X0,X1,sK1)) = X2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_1476]) ).

tcf(c_38509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK5(X0,X1,sK1),sK5(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_3134]) ).

tcf(c_38510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | ( max(sK5(X0,X1,sK1),X2) = X2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_1461]) ).

tcf(c_38511,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(X0,X1,sK1) = sK2 )
      | ~ model_ub(X0,X1,sK1)
      | ~ lesseq(sK2,sK5(X0,X1,sK1)) ),
    inference(superposition,[status(thm)],[c_32628,c_72]) ).

tcf(c_38512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(sK5(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_1402]) ).

tcf(c_38513,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK5(X0,X1,sK1),X2)
      | ~ lesseq(sK2,X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_60]) ).

tcf(c_38514,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK2,sK5(X0,X1,sK1)) = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_68]) ).

tcf(c_38515,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK5(X0,X1,sK1),sK2) = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_67]) ).

tcf(c_38516,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_1762]) ).

tcf(c_38517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_32628,c_1733]) ).

tcf(c_38566,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK5(sK0,sK1,sK2),sK2),X0) = max(sK5(sK0,sK1,sK2),sK2) ) ),
    inference(superposition,[status(thm)],[c_1438,c_38452]) ).

tcf(c_38569,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK5(sK0,sK1,sK2),sK2)) = max(sK5(sK0,sK1,sK2),sK2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_38452]) ).

tcf(c_38570,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_3713,c_38452]) ).

tcf(c_38571,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_2539,c_38452]) ).

tcf(c_38572,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_2532,c_38452]) ).

tcf(c_38573,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_1497,c_38452]) ).

tcf(c_38574,plain,
    lesseq(sK2,max(sK5(sK0,sK1,sK2),sK2)),
    inference(superposition,[status(thm)],[c_1353,c_38452]) ).

tcf(c_38575,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_1440,c_38452]) ).

tcf(c_38583,plain,
    ( lesseq(sK2,max(sK0,sK1))
    | lesseq(sK0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_30922,c_38452]) ).

tcf(c_38607,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK5(sK0,sK1,sK2),sK2),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38453,c_1405]) ).

tcf(c_38608,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38453,c_1496]) ).

tcf(c_38610,plain,
    ! [X0: $i] :
      ( ( max(X0,max(sK5(sK0,sK1,sK2),sK2)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38453,c_1390]) ).

tcf(c_38611,plain,
    ! [X0: $i] :
      ( ( max(max(sK5(sK0,sK1,sK2),sK2),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38453,c_1376]) ).

tcf(c_38628,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25460,c_1405]) ).

tcf(c_38629,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25460,c_1496]) ).

tcf(c_38631,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25460,c_1390]) ).

tcf(c_38632,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25460,c_1376]) ).

tcf(c_38654,plain,
    ! [X0: $i] :
      ( lesseq(max(sK5(sK0,sK1,sK2),sK2),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38451,c_1405]) ).

tcf(c_38655,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),X0) ),
    inference(superposition,[status(thm)],[c_38451,c_1496]) ).

tcf(c_38657,plain,
    max(sK2,max(sK5(sK0,sK1,sK2),sK2)) = sK2,
    inference(superposition,[status(thm)],[c_38451,c_1390]) ).

tcf(c_38658,plain,
    max(max(sK5(sK0,sK1,sK2),sK2),sK2) = sK2,
    inference(superposition,[status(thm)],[c_38451,c_1376]) ).

tcf(c_38682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_2536]) ).

tcf(c_38685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_1476]) ).

tcf(c_38686,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_3134]) ).

tcf(c_38687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25641,c_1461]) ).

tcf(c_38688,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_72]) ).

tcf(c_38690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_60]) ).

tcf(c_38691,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25641,c_68]) ).

tcf(c_38692,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25641,c_67]) ).

tcf(c_38693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25641,c_1437]) ).

tcf(c_38694,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25641,c_62]) ).

tcf(c_38695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25641,c_1762]) ).

tcf(c_38696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25641,c_1733]) ).

tcf(c_38702,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK0,sK2,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25641,c_1824]) ).

tcf(c_38705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25641,c_55]) ).

tcf(c_38708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_2536]) ).

tcf(c_38709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_2529]) ).

tcf(c_38710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_1530]) ).

tcf(c_38711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_1476]) ).

tcf(c_38712,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_3134]) ).

tcf(c_38713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25641,c_1461]) ).

tcf(c_38714,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_72]) ).

tcf(c_38716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_60]) ).

tcf(c_38717,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_68]) ).

tcf(c_38718,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25641,c_67]) ).

tcf(c_38719,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25641,c_1437]) ).

tcf(c_38720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25641,c_62]) ).

tcf(c_38721,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25641,c_1762]) ).

tcf(c_38722,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25641,c_1733]) ).

tcf(c_38739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(max(sK0,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25641,c_1405]) ).

tcf(c_38740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_25641,c_1496]) ).

tcf(c_38741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_3116]) ).

tcf(c_38742,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_1390]) ).

tcf(c_38743,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_1376]) ).

tcf(c_38948,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25644]) ).

tcf(c_38949,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25644]) ).

tcf(c_38950,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_25644]) ).

tcf(c_38951,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_25644]) ).

tcf(c_38956,plain,
    ( model_max(sK1,sK0,sK2)
    | model_max(sK0,sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_25644]) ).

tcf(c_38957,plain,
    ( model_max(sK0,sK2,max(sK0,sK1))
    | model_max(sK0,max(sK0,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_30779,c_25644]) ).

tcf(c_38958,plain,
    ( model_max(sK0,sK2,max(sK0,sK1))
    | model_max(max(sK0,sK1),sK0,sK2) ),
    inference(superposition,[status(thm)],[c_30778,c_25644]) ).

tcf(c_38959,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_25644]) ).

tcf(c_38960,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_25644]) ).

tcf(c_38961,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_25644]) ).

tcf(c_38962,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_25644]) ).

tcf(c_38963,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_25644]) ).

tcf(c_38964,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_25644]) ).

tcf(c_38965,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_25644]) ).

tcf(c_38966,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_25644]) ).

tcf(c_38977,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK2),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25644,c_1405]) ).

tcf(c_38978,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(max(sK0,sK2),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25644,c_1496]) ).

tcf(c_38980,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),max(sK0,sK2)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25644,c_1390]) ).

tcf(c_38981,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(sK0,sK2),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25644,c_1376]) ).

tcf(c_39180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),X2)
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25694,c_55]) ).

tcf(c_39184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_2529]) ).

tcf(c_39185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_1530]) ).

tcf(c_39186,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25694,c_1476]) ).

tcf(c_39187,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_3134]) ).

tcf(c_39188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25694,c_1461]) ).

tcf(c_39189,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( X0 = sK0 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25694,c_72]) ).

tcf(c_39191,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25694,c_60]) ).

tcf(c_39192,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25694,c_68]) ).

tcf(c_39193,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25694,c_67]) ).

tcf(c_39198,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25694,c_55]) ).

tcf(c_39199,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_26068]) ).

tcf(c_39200,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_24518]) ).

tcf(c_39202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25694,c_2529]) ).

tcf(c_39203,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_1530]) ).

tcf(c_39204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25694,c_1476]) ).

tcf(c_39206,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25694,c_1461]) ).

tcf(c_39207,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25694,c_72]) ).

tcf(c_39209,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25694,c_60]) ).

tcf(c_39212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25694,c_1437]) ).

tcf(c_39214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25694,c_1762]) ).

tcf(c_39215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25694,c_1733]) ).

tcf(c_39226,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25694,c_6991]) ).

tcf(c_39227,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25694,c_5498]) ).

tcf(c_39232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25694,c_1405]) ).

tcf(c_39233,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25694,c_1496]) ).

tcf(c_39235,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25694,c_1390]) ).

tcf(c_39236,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25694,c_1376]) ).

tcf(c_39439,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_25461]) ).

tcf(c_39440,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_25461]) ).

tcf(c_39443,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_25461]) ).

tcf(c_39444,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_25461]) ).

tcf(c_39445,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_25461]) ).

tcf(c_39449,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1440,c_25461]) ).

tcf(c_39457,plain,
    ( lesseq(sK1,max(sK0,sK1))
    | lesseq(sK0,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30922,c_25461]) ).

tcf(c_39459,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_25461]) ).

tcf(c_39542,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(X0,sK1) = X0 )
      | ~ model_max(sK2,X0,sK1) ),
    inference(superposition,[status(thm)],[c_27205,c_32627]) ).

tcf(c_39547,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_4121]) ).

tcf(c_39553,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2865]) ).

tcf(c_39555,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_10774]) ).

tcf(c_39557,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_4543]) ).

tcf(c_39558,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2861]) ).

tcf(c_39560,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,X1,X2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27205,c_1437]) ).

tcf(c_39565,plain,
    ! [X0: $i] :
      ( model_max(sK2,X0,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1353]) ).

tcf(c_39566,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(X0,sK1) = X0 )
      | ~ model_max(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_27205,c_63]) ).

tcf(c_39567,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X1,X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27205,c_62]) ).

tcf(c_39568,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_4126]) ).

tcf(c_39572,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_3000]) ).

tcf(c_39573,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2995]) ).

tcf(c_39574,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_14802]) ).

tcf(c_39576,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_12517]) ).

tcf(c_39579,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_3713]) ).

tcf(c_39580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2539]) ).

tcf(c_39581,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2532]) ).

tcf(c_39582,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1497]) ).

tcf(c_39583,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1851]) ).

tcf(c_39584,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1351]) ).

tcf(c_39585,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(sK2,X0,max(X1,X2))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1440]) ).

tcf(c_39586,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_25644]) ).

tcf(c_39587,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_25562]) ).

tcf(c_39588,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK2,X0) = sK2 )
      | ~ model_max(X0,sK1,sK1) ),
    inference(superposition,[status(thm)],[c_27205,c_32627]) ).

tcf(c_39589,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_24842]) ).

tcf(c_39590,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_24700]) ).

tcf(c_39591,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_25708]) ).

tcf(c_39592,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_24533]) ).

tcf(c_39606,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,sK1,X2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27205,c_1437]) ).

tcf(c_39611,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1353]) ).

tcf(c_39612,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ model_max(X0,sK1,X1) ),
    inference(superposition,[status(thm)],[c_27205,c_63]) ).

tcf(c_39613,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27205,c_62]) ).

tcf(c_39618,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_3000]) ).

tcf(c_39619,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2995]) ).

tcf(c_39625,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,sK1,X2)
      | model_max(X2,X2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_3713]) ).

tcf(c_39626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,sK1,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2539]) ).

tcf(c_39627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X0,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2532]) ).

tcf(c_39628,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1497]) ).

tcf(c_39629,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1851]) ).

tcf(c_39630,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1351]) ).

tcf(c_39631,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(X0,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_1440]) ).

tcf(c_39660,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(X0,sK1) = sK1 )
      | ( max(sK2,max(X0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2864]) ).

tcf(c_39661,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = sK1 )
      | ( max(X0,sK1) = X0 )
      | ( max(sK2,max(X0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2860]) ).

tcf(c_39662,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = sK1 )
      | ( max(X0,sK1) = X0 )
      | ( max(sK2,max(sK1,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2865]) ).

tcf(c_39663,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 )
      | ( max(sK2,max(sK1,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_2861]) ).

tcf(c_39991,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(X0,sK1) = X0 )
      | ~ model_max(X0,sK2,sK1) ),
    inference(superposition,[status(thm)],[c_27206,c_32627]) ).

tcf(c_40002,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_2865]) ).

tcf(c_40009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,sK2,X2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27206,c_1437]) ).

tcf(c_40014,plain,
    ! [X0: $i] :
      ( model_max(X0,sK2,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_1353]) ).

tcf(c_40015,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(X0,sK1) = X0 )
      | ~ model_max(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_27206,c_63]) ).

tcf(c_40016,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK2,X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27206,c_62]) ).

tcf(c_40028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_3713]) ).

tcf(c_40029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_2539]) ).

tcf(c_40030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_2532]) ).

tcf(c_40031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_1497]) ).

tcf(c_40032,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_1851]) ).

tcf(c_40033,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_1351]) ).

tcf(c_40034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,sK2,max(X1,X2))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_1440]) ).

tcf(c_40111,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK1,X0) = X0 )
      | ~ model_max(sK2,X0,sK1) ),
    inference(superposition,[status(thm)],[c_27324,c_32627]) ).

tcf(c_40116,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_4121]) ).

tcf(c_40122,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_2865]) ).

tcf(c_40124,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_10774]) ).

tcf(c_40126,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_4543]) ).

tcf(c_40127,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_2861]) ).

tcf(c_40129,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,X1,X2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27324,c_1437]) ).

tcf(c_40134,plain,
    ! [X0: $i] :
      ( model_max(sK2,X0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_1353]) ).

tcf(c_40135,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(sK1,X0) = X0 )
      | ~ model_max(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_27324,c_63]) ).

tcf(c_40136,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X1,X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27324,c_62]) ).

tcf(c_40137,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_4126]) ).

tcf(c_40143,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_14802]) ).

tcf(c_40145,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_12517]) ).

tcf(c_40148,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_3713]) ).

tcf(c_40149,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_2539]) ).

tcf(c_40150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_2532]) ).

tcf(c_40151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_1497]) ).

tcf(c_40152,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_1851]) ).

tcf(c_40153,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_1351]) ).

tcf(c_40154,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(sK2,X0,max(X1,X2))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_1440]) ).

tcf(c_40346,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK2) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26360,c_2108]) ).

tcf(c_40348,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,sK1) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26360,c_1585]) ).

tcf(c_40350,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK1),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26360,c_1405]) ).

tcf(c_40351,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK1),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26360,c_1496]) ).

tcf(c_40353,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26360,c_1390]) ).

tcf(c_40354,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26360,c_1376]) ).

tcf(c_40357,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40354,c_24428]) ).

tcf(c_40360,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_40353,c_24428]) ).

tcf(c_40363,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40351,c_24428]) ).

tcf(c_40367,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_40350,c_24428]) ).

tcf(c_40371,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40348,c_24428]) ).

tcf(c_40392,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK2) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26363,c_2108]) ).

tcf(c_40394,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,sK1) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26363,c_1585]) ).

tcf(c_40396,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK1),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26363,c_1405]) ).

tcf(c_40397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK1),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26363,c_1496]) ).

tcf(c_40399,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26363,c_1390]) ).

tcf(c_40400,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26363,c_1376]) ).

tcf(c_40403,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_40400,c_24428]) ).

tcf(c_40406,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_40399,c_24428]) ).

tcf(c_40409,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40397,c_24428]) ).

tcf(c_40413,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_40396,c_24428]) ).

tcf(c_40417,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40394,c_24428]) ).

tcf(c_40430,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK2),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26730,c_1405]) ).

tcf(c_40431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK2),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26730,c_1496]) ).

tcf(c_40433,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26730,c_1390]) ).

tcf(c_40434,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26730,c_1376]) ).

tcf(c_40477,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK2),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26733,c_1405]) ).

tcf(c_40478,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK2),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26733,c_1496]) ).

tcf(c_40480,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26733,c_1390]) ).

tcf(c_40481,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26733,c_1376]) ).

tcf(c_40492,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26812,c_2108]) ).

tcf(c_40494,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,sK0) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26812,c_1585]) ).

tcf(c_40496,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK0),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26812,c_1405]) ).

tcf(c_40497,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26812,c_1496]) ).

tcf(c_40499,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26812,c_1390]) ).

tcf(c_40500,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26812,c_1376]) ).

tcf(c_40503,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26812,c_7476]) ).

tcf(c_40504,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26812,c_5954]) ).

tcf(c_40515,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40494,c_25410]) ).

tcf(c_40524,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26815,c_2108]) ).

tcf(c_40526,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,sK0) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26815,c_1585]) ).

tcf(c_40528,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK0),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26815,c_1405]) ).

tcf(c_40529,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26815,c_1496]) ).

tcf(c_40531,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26815,c_1390]) ).

tcf(c_40532,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26815,c_1376]) ).

tcf(c_40535,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26815,c_7476]) ).

tcf(c_40536,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26815,c_5954]) ).

tcf(c_40547,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40526,c_25410]) ).

tcf(c_40560,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK2),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26938,c_1405]) ).

tcf(c_40561,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK2),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26938,c_1496]) ).

tcf(c_40563,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26938,c_1390]) ).

tcf(c_40564,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26938,c_1376]) ).

tcf(c_40580,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK2),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26941,c_1405]) ).

tcf(c_40581,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK2),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26941,c_1496]) ).

tcf(c_40583,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_26941,c_1390]) ).

tcf(c_40584,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26941,c_1376]) ).

tcf(c_40592,plain,
    model_ub(sK0,sK1,sK2),
    inference(global_subsumption_just,[status(thm)],[c_27411,c_73,c_80,c_81,c_83,c_85,c_599,c_1875,c_2891,c_2974,c_3626,c_5326,c_5344,c_6543,c_6811,c_7938,c_8465,c_8488,c_8937,c_9378,c_9402,c_10603,c_15750,c_24043,c_24053,c_24074,c_24455]) ).

tcf(c_40598,plain,
    max(sK0,sK1) = sK2,
    inference(global_subsumption_just,[status(thm)],[c_27412,c_508,c_519,c_1875,c_2360,c_2891,c_4760,c_4761,c_4772,c_4965,c_8124,c_9399,c_27412,c_30759,c_30781,c_31001,c_36557,c_37290]) ).

tcf(c_40604,plain,
    ( ( sK1 = sK2 )
    | ( sK0 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_25396,c_40598]) ).

tcf(c_40611,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK2,X0) ),
    inference(demodulation,[status(thm)],[c_28959,c_40598]) ).

tcf(c_40614,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | ~ lesseq(sK2,X0) ),
    inference(demodulation,[status(thm)],[c_27446,c_40598]) ).

tcf(c_40619,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK2,sK2,X0) ),
    inference(demodulation,[status(thm)],[c_27445,c_40598]) ).

tcf(c_40622,plain,
    model_max(sK2,sK2,sK2),
    inference(demodulation,[status(thm)],[c_27444,c_40598]) ).

tcf(c_40624,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5959,c_40598]) ).

tcf(c_40625,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5839,c_40598]) ).

tcf(c_40626,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(demodulation,[status(thm)],[c_5955,c_40598]) ).

tcf(c_40627,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ model_max(sK2,sK0,X0) ),
    inference(demodulation,[status(thm)],[c_5954,c_40598]) ).

tcf(c_40628,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(demodulation,[status(thm)],[c_5835,c_40598]) ).

tcf(c_40629,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ model_max(sK0,sK2,X0) ),
    inference(demodulation,[status(thm)],[c_5834,c_40598]) ).

tcf(c_40630,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5960,c_40598]) ).

tcf(c_40631,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5840,c_40598]) ).

tcf(c_40632,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5494,c_40598]) ).

tcf(c_40633,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | minsol_model_ub(sK0,sK1,sK2)
      | model_max(sK2,sK2,X0) ),
    inference(demodulation,[status(thm)],[c_3542,c_40598]) ).

tcf(c_40634,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(demodulation,[status(thm)],[c_5498,c_40598]) ).

tcf(c_40635,plain,
    ( model_max(sK2,sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5953,c_40598]) ).

tcf(c_40636,plain,
    ( model_max(sK0,sK2,sK0)
    | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5833,c_40598]) ).

tcf(c_40637,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5497,c_40598]) ).

tcf(c_40638,plain,
    ( lesseq(sK2,sK0)
    | ( sK1 = sK2 ) ),
    inference(demodulation,[status(thm)],[c_5486,c_40598]) ).

tcf(c_40704,plain,
    ( lesseq(sK2,sK2)
    | ~ model_max(sK0,sK1,sK1) ),
    inference(superposition,[status(thm)],[c_40598,c_32627]) ).

tcf(c_40710,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_4120]) ).

tcf(c_40714,plain,
    ( model_max(sK1,sK2,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_15027]) ).

tcf(c_40716,plain,
    ( ( max(sK2,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_2864]) ).

tcf(c_40721,plain,
    ( model_max(sK2,sK1,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_2933]) ).

tcf(c_40723,plain,
    ( ( max(sK2,sK1) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_2860]) ).

tcf(c_40728,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_1462]) ).

tcf(c_40730,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_40598,c_63]) ).

tcf(c_40733,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_4125]) ).

tcf(c_40735,plain,
    ( model_max(sK1,sK2,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_18019]) ).

tcf(c_40736,plain,
    ( ( max(sK1,sK2) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_3000]) ).

tcf(c_40737,plain,
    ( ( max(sK1,sK2) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_2995]) ).

tcf(c_40739,plain,
    ( model_max(sK2,sK1,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_14507]) ).

tcf(c_40743,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40598,c_1463]) ).

tcf(c_40744,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_40598,c_3713]) ).

tcf(c_40745,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40598,c_2539]) ).

tcf(c_40746,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_40598,c_2532]) ).

tcf(c_40748,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40598,c_1851]) ).

tcf(c_40750,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_40598,c_1440]) ).

tcf(c_40765,plain,
    ( model_max(sK2,sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40721,c_40598]) ).

tcf(c_40768,plain,
    ( model_max(sK1,sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40714,c_40598]) ).

tcf(c_40787,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40710,c_40598]) ).

tcf(c_40801,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_40730]) ).

tcf(c_40803,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_40730]) ).

tcf(c_40806,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1439,c_40730]) ).

tcf(c_40810,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3713,c_40730]) ).

tcf(c_40811,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2539,c_40730]) ).

tcf(c_40812,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2532,c_40730]) ).

tcf(c_40813,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1497,c_40730]) ).

tcf(c_40814,plain,
    lesseq(sK2,max(sK0,sK1)),
    inference(superposition,[status(thm)],[c_1353,c_40730]) ).

tcf(c_40815,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1440,c_40730]) ).

tcf(c_40817,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_40730]) ).

tcf(c_40818,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1957,c_40730]) ).

tcf(c_40819,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1581,c_40730]) ).

tcf(c_40823,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1955,c_40730]) ).

tcf(c_40825,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_40730]) ).

tcf(c_40829,plain,
    ( lesseq(sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34822,c_40730]) ).

tcf(c_40843,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(light_normalisation,[status(thm)],[c_40819,c_40598]) ).

tcf(c_40853,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_40801,c_40598]) ).

tcf(c_40876,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_25562]) ).

tcf(c_40877,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,sK2) = sK2 )
      | ~ model_max(sK1,X0,sK1) ),
    inference(superposition,[status(thm)],[c_27325,c_32627]) ).

tcf(c_40878,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_24842]) ).

tcf(c_40879,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_24700]) ).

tcf(c_40880,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_25708]) ).

tcf(c_40881,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_24533]) ).

tcf(c_40888,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,sK1) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_2865]) ).

tcf(c_40895,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,X0,X2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27325,c_1437]) ).

tcf(c_40900,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1353]) ).

tcf(c_40901,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ model_max(sK1,X0,X1) ),
    inference(superposition,[status(thm)],[c_27325,c_63]) ).

tcf(c_40902,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27325,c_62]) ).

tcf(c_40914,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,X0,X2)
      | model_max(X2,X2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_3713]) ).

tcf(c_40915,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,X0,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_2539]) ).

tcf(c_40916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_2532]) ).

tcf(c_40917,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1497]) ).

tcf(c_40918,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X0,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1851]) ).

tcf(c_40919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1351]) ).

tcf(c_40920,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK1,X0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1440]) ).

tcf(c_40925,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(X0,sK1) = sK1 )
      | ( max(max(X0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_3000]) ).

tcf(c_40926,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = sK1 )
      | ( max(X0,sK1) = X0 )
      | ( max(max(X0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_2995]) ).

tcf(c_40927,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = sK1 )
      | ( max(X0,sK1) = X0 )
      | ( max(max(sK1,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_3001]) ).

tcf(c_40928,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 )
      | ( max(max(sK1,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_2996]) ).

tcf(c_40931,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK1,X0) = X0 )
      | ~ model_max(X0,sK2,sK1) ),
    inference(superposition,[status(thm)],[c_27325,c_32627]) ).

tcf(c_40949,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,sK2,X2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27325,c_1437]) ).

tcf(c_40954,plain,
    ! [X0: $i] :
      ( model_max(X0,sK2,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1353]) ).

tcf(c_40955,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(sK1,X0) = X0 )
      | ~ model_max(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_27325,c_63]) ).

tcf(c_40956,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK2,X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27325,c_62]) ).

tcf(c_40968,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_3713]) ).

tcf(c_40969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_2539]) ).

tcf(c_40970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_2532]) ).

tcf(c_40971,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1497]) ).

tcf(c_40972,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1851]) ).

tcf(c_40973,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1351]) ).

tcf(c_40974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,sK2,max(X1,X2))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_1440]) ).

tcf(c_41185,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(X0,sK0) = X0 )
      | ~ model_max(sK2,X0,sK1) ),
    inference(superposition,[status(thm)],[c_28847,c_32627]) ).

tcf(c_41190,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_4121]) ).

tcf(c_41196,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2865]) ).

tcf(c_41198,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_10774]) ).

tcf(c_41200,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_4543]) ).

tcf(c_41201,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2861]) ).

tcf(c_41203,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,X1,X2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28847,c_1437]) ).

tcf(c_41208,plain,
    ! [X0: $i] :
      ( model_max(sK2,X0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1353]) ).

tcf(c_41209,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(X0,sK0) = X0 )
      | ~ model_max(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_28847,c_63]) ).

tcf(c_41210,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X1,X0)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28847,c_62]) ).

tcf(c_41211,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_4126]) ).

tcf(c_41217,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_14802]) ).

tcf(c_41219,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_12517]) ).

tcf(c_41222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_3713]) ).

tcf(c_41223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2539]) ).

tcf(c_41224,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2532]) ).

tcf(c_41225,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1497]) ).

tcf(c_41226,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1851]) ).

tcf(c_41227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1351]) ).

tcf(c_41228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(sK2,X0,max(X1,X2))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1440]) ).

tcf(c_41229,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_25644]) ).

tcf(c_41230,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_25562]) ).

tcf(c_41231,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK2,X0) = sK2 )
      | ~ model_max(X0,sK0,sK1) ),
    inference(superposition,[status(thm)],[c_28847,c_32627]) ).

tcf(c_41232,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_24842]) ).

tcf(c_41233,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_24700]) ).

tcf(c_41234,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_25708]) ).

tcf(c_41235,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_24533]) ).

tcf(c_41249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,sK0,X2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_28847,c_1437]) ).

tcf(c_41254,plain,
    ! [X0: $i] :
      ( model_max(X0,sK0,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1353]) ).

tcf(c_41255,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ model_max(X0,sK0,X1) ),
    inference(superposition,[status(thm)],[c_28847,c_63]) ).

tcf(c_41256,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_28847,c_62]) ).

tcf(c_41261,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_3000]) ).

tcf(c_41262,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2995]) ).

tcf(c_41268,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,sK0,X2)
      | model_max(X2,X2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_3713]) ).

tcf(c_41269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,sK0,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2539]) ).

tcf(c_41270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X0,sK0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2532]) ).

tcf(c_41271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1497]) ).

tcf(c_41272,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1851]) ).

tcf(c_41273,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1351]) ).

tcf(c_41274,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(X0,sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_1440]) ).

tcf(c_41278,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(X0,sK0) = sK0 )
      | ( max(sK2,max(X0,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2864]) ).

tcf(c_41279,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = sK0 )
      | ( max(X0,sK0) = X0 )
      | ( max(sK2,max(X0,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2860]) ).

tcf(c_41280,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = sK0 )
      | ( max(X0,sK0) = X0 )
      | ( max(sK2,max(sK0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2865]) ).

tcf(c_41281,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = sK0 )
      | ( max(sK0,X0) = X0 )
      | ( max(sK2,max(sK0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_2861]) ).

tcf(c_41795,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(X0,sK0) = X0 )
      | ~ model_max(X0,sK2,sK1) ),
    inference(superposition,[status(thm)],[c_28848,c_32627]) ).

tcf(c_41813,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,sK2,X2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28848,c_1437]) ).

tcf(c_41818,plain,
    ! [X0: $i] :
      ( model_max(X0,sK2,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_1353]) ).

tcf(c_41819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(X0,sK0) = X0 )
      | ~ model_max(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_28848,c_63]) ).

tcf(c_41820,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK2,X0)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28848,c_62]) ).

tcf(c_41832,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_3713]) ).

tcf(c_41833,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_2539]) ).

tcf(c_41834,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_2532]) ).

tcf(c_41835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_1497]) ).

tcf(c_41836,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_1851]) ).

tcf(c_41837,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_1351]) ).

tcf(c_41838,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,sK2,max(X1,X2))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_1440]) ).

tcf(c_41910,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_26068]) ).

tcf(c_41912,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_2536]) ).

tcf(c_41913,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_2529]) ).

tcf(c_41914,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_1530]) ).

tcf(c_41915,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40638,c_1476]) ).

tcf(c_41917,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40638,c_1461]) ).

tcf(c_41921,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40638,c_68]) ).

tcf(c_41922,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40638,c_67]) ).

tcf(c_41923,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_26081]) ).

tcf(c_41924,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_24529]) ).

tcf(c_41925,plain,
    ( lesseq(sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_25409]) ).

tcf(c_41926,plain,
    ( lesseq(sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_24427]) ).

tcf(c_42119,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_24518]) ).

tcf(c_42120,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_2536]) ).

tcf(c_42121,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_2529]) ).

tcf(c_42122,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_1530]) ).

tcf(c_42123,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40829,c_1476]) ).

tcf(c_42124,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_3134]) ).

tcf(c_42125,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40829,c_1461]) ).

tcf(c_42129,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40829,c_68]) ).

tcf(c_42130,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40829,c_67]) ).

tcf(c_42132,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_24529]) ).

tcf(c_42187,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41926,c_2536]) ).

tcf(c_42188,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41926,c_2529]) ).

tcf(c_42189,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41926,c_1530]) ).

tcf(c_42190,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_41926,c_1476]) ).

tcf(c_42191,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41926,c_3134]) ).

tcf(c_42192,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_41926,c_1461]) ).

tcf(c_42193,plain,
    ( ( sK1 = sK2 )
    | ( sK0 = sK1 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_41926,c_72]) ).

tcf(c_42195,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_41926,c_60]) ).

tcf(c_42264,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_28848]) ).

tcf(c_42265,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_28847]) ).

tcf(c_42266,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_27325]) ).

tcf(c_42267,plain,
    ( model_ub(sK0,sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_40592]) ).

tcf(c_42268,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_26941]) ).

tcf(c_42269,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_26938]) ).

tcf(c_42270,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_26815]) ).

tcf(c_42271,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_26812]) ).

tcf(c_42274,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_26363]) ).

tcf(c_42275,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_26360]) ).

tcf(c_42276,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_27324]) ).

tcf(c_42277,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_27206]) ).

tcf(c_42278,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_27205]) ).

tcf(c_42279,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25694]) ).

tcf(c_42282,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25641]) ).

tcf(c_42283,plain,
    ( model_max(sK5(sK0,sK1,sK1),sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38451]) ).

tcf(c_42284,plain,
    ! [X0: $i] :
      ( model_max(sK5(sK0,sK1,sK1),sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_38453]) ).

tcf(c_42285,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK5(sK0,sK1,sK1),sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_38452]) ).

tcf(c_42286,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK5(X0,X1,sK1),sK1)
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_40604,c_32628]) ).

tcf(c_42287,plain,
    ( ( sK0 = sK2 )
    | ( max(sK5(sK0,sK1,sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38422]) ).

tcf(c_42288,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK1,sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25562]) ).

tcf(c_42289,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25559]) ).

tcf(c_42290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25559]) ).

tcf(c_42293,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK5(sK0,sK1,sK1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_31072]) ).

tcf(c_42294,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,sK5(sK0,sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_40604,c_31071]) ).

tcf(c_42297,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35467]) ).

tcf(c_42298,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_40604,c_35450]) ).

tcf(c_42300,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,X1),sK1)
      | ( sK0 = sK2 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_40604,c_32627]) ).

tcf(c_42301,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25014]) ).

tcf(c_42304,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24839]) ).

tcf(c_42305,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK1,sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24700]) ).

tcf(c_42307,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24697]) ).

tcf(c_42308,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24420]) ).

tcf(c_42309,plain,
    ( model_max(sK0,sK0,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_31898]) ).

tcf(c_42310,plain,
    ( model_max(sK1,sK5(sK0,sK1,sK1),sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_31070]) ).

tcf(c_42311,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK5(sK0,sK1,sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_31045]) ).

tcf(c_42312,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_30521]) ).

tcf(c_42314,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_26081]) ).

tcf(c_42315,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_24529]) ).

tcf(c_42318,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_27772]) ).

tcf(c_42319,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24424]) ).

tcf(c_42320,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24422]) ).

tcf(c_42321,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24421]) ).

tcf(c_42322,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25642]) ).

tcf(c_42324,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_25626]) ).

tcf(c_42325,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25560]) ).

tcf(c_42326,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25560]) ).

tcf(c_42327,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24840]) ).

tcf(c_42329,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_25625]) ).

tcf(c_42330,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_25544]) ).

tcf(c_42331,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_25543]) ).

tcf(c_42332,plain,
    ( ( sK0 = sK2 )
    | ~ lesseq(sK1,sK0) ),
    inference(superposition,[status(thm)],[c_40604,c_25407]) ).

tcf(c_42335,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24698]) ).

tcf(c_42337,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_24682]) ).

tcf(c_42338,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_24681]) ).

tcf(c_42355,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24428]) ).

tcf(c_42366,plain,
    ( lesseq(sK2,sK1)
    | minsol_model_ub(sK0,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_1961]) ).

tcf(c_43077,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK0),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40635,c_1405]) ).

tcf(c_43078,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40635,c_1496]) ).

tcf(c_43080,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,max(sK2,sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40635,c_1390]) ).

tcf(c_43081,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK2,sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40635,c_1376]) ).

tcf(c_43083,plain,
    ( lesseq(sK0,sK0)
    | ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40635,c_7476]) ).

tcf(c_43097,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK2),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40636,c_1405]) ).

tcf(c_43098,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,sK2),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40636,c_1496]) ).

tcf(c_43100,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,max(sK0,sK2)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40636,c_1390]) ).

tcf(c_43101,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK0,sK2),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40636,c_1376]) ).

tcf(c_43116,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40748,c_1405]) ).

tcf(c_43117,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_40748,c_1496]) ).

tcf(c_43119,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40748,c_1390]) ).

tcf(c_43120,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40748,c_1376]) ).

tcf(c_43128,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40748,c_1405]) ).

tcf(c_43129,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_40748,c_1496]) ).

tcf(c_43131,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40748,c_1390]) ).

tcf(c_43132,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40748,c_1376]) ).

tcf(c_43134,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_43132,c_1375]) ).

tcf(c_43137,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_43131,c_1375]) ).

tcf(c_43157,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40765,c_1405]) ).

tcf(c_43158,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK2,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40765,c_1496]) ).

tcf(c_43159,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40765,c_3116]) ).

tcf(c_43160,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK2,sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40765,c_1390]) ).

tcf(c_43161,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK2,sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40765,c_1376]) ).

tcf(c_43180,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK2),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40768,c_1405]) ).

tcf(c_43181,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40768,c_1496]) ).

tcf(c_43182,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40768,c_3116]) ).

tcf(c_43183,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK1,sK2)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40768,c_1390]) ).

tcf(c_43184,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK2),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40768,c_1376]) ).

tcf(c_43201,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_42195]) ).

tcf(c_43202,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_42195]) ).

tcf(c_43203,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_42195]) ).

tcf(c_43214,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_42195]) ).

tcf(c_43218,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1373,c_42195]) ).

tcf(c_43220,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_42195]) ).

tcf(c_43221,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_42195]) ).

tcf(c_43223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_42195]) ).

tcf(c_43224,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_42195]) ).

tcf(c_43226,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_42195]) ).

tcf(c_43227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_42195]) ).

tcf(c_43230,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_42195]) ).

tcf(c_43231,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_42195]) ).

tcf(c_43232,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(X0,sK0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,sK0,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_42195]) ).

tcf(c_43233,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(sK0,X0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(sK0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_42195]) ).

tcf(c_43234,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_42195]) ).

tcf(c_43235,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_42195]) ).

tcf(c_43236,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1351,c_42195]) ).

tcf(c_43237,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_42195]) ).

tcf(c_43238,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_42195]) ).

tcf(c_43240,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_42195]) ).

tcf(c_43242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_42195]) ).

tcf(c_43243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_42195]) ).

tcf(c_43244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_42195]) ).

tcf(c_43245,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK0)
      | model_max(X0,X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_42195]) ).

tcf(c_43246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_42195]) ).

tcf(c_43247,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_42195]) ).

tcf(c_43255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_42195]) ).

tcf(c_43256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_42195]) ).

tcf(c_43272,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_42195]) ).

tcf(c_43273,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK0,X0))
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_42195]) ).

tcf(c_43274,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK0))
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_42195]) ).

tcf(c_43275,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK0,X0))
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_42195]) ).

tcf(c_43497,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_30012]) ).

tcf(c_43500,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK0,X0) = X0 )
      | ~ model_max(sK2,X0,sK1) ),
    inference(superposition,[status(thm)],[c_30012,c_32627]) ).

tcf(c_43505,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_4121]) ).

tcf(c_43511,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_2865]) ).

tcf(c_43513,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_10774]) ).

tcf(c_43515,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_4543]) ).

tcf(c_43516,plain,
    ! [X0: $i] :
      ( ( max(sK2,sK2) = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_2861]) ).

tcf(c_43518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,X1,X2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30012,c_1437]) ).

tcf(c_43523,plain,
    ! [X0: $i] :
      ( model_max(sK2,X0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_1353]) ).

tcf(c_43524,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(sK0,X0) = X0 )
      | ~ model_max(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_30012,c_63]) ).

tcf(c_43525,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X1,X0)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30012,c_62]) ).

tcf(c_43526,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_4126]) ).

tcf(c_43532,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,sK2)
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_14802]) ).

tcf(c_43534,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_12517]) ).

tcf(c_43537,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_3713]) ).

tcf(c_43538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_2539]) ).

tcf(c_43539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_2532]) ).

tcf(c_43540,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_1497]) ).

tcf(c_43541,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_1851]) ).

tcf(c_43542,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_1351]) ).

tcf(c_43543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(sK2,X0,max(X1,X2))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_1440]) ).

tcf(c_43721,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_30013]) ).

tcf(c_43722,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_25644]) ).

tcf(c_43723,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_25562]) ).

tcf(c_43724,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,sK2) = sK2 )
      | ~ model_max(sK0,X0,sK1) ),
    inference(superposition,[status(thm)],[c_30013,c_32627]) ).

tcf(c_43725,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_24842]) ).

tcf(c_43726,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_24700]) ).

tcf(c_43727,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_25708]) ).

tcf(c_43728,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_24533]) ).

tcf(c_43735,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,sK0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_2865]) ).

tcf(c_43742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,X0,X2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_30013,c_1437]) ).

tcf(c_43747,plain,
    ! [X0: $i] :
      ( model_max(sK0,X0,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1353]) ).

tcf(c_43748,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ model_max(sK0,X0,X1) ),
    inference(superposition,[status(thm)],[c_30013,c_63]) ).

tcf(c_43749,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_30013,c_62]) ).

tcf(c_43761,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,X0,X2)
      | model_max(X2,X2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_3713]) ).

tcf(c_43762,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,X0,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_2539]) ).

tcf(c_43763,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_2532]) ).

tcf(c_43764,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1497]) ).

tcf(c_43765,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,X0,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1851]) ).

tcf(c_43766,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1351]) ).

tcf(c_43767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK0,X0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1440]) ).

tcf(c_43770,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(X0,sK0) = sK0 )
      | ( max(max(X0,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_3000]) ).

tcf(c_43771,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = sK0 )
      | ( max(X0,sK0) = X0 )
      | ( max(max(X0,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_2995]) ).

tcf(c_43772,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = sK0 )
      | ( max(X0,sK0) = X0 )
      | ( max(max(sK0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_3001]) ).

tcf(c_43773,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = sK0 )
      | ( max(sK0,X0) = X0 )
      | ( max(max(sK0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_2996]) ).

tcf(c_43776,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | ( max(sK0,X0) = X0 )
      | ~ model_max(X0,sK2,sK1) ),
    inference(superposition,[status(thm)],[c_30013,c_32627]) ).

tcf(c_43794,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,sK2,X2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30013,c_1437]) ).

tcf(c_43799,plain,
    ! [X0: $i] :
      ( model_max(X0,sK2,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1353]) ).

tcf(c_43800,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( max(sK0,X0) = X0 )
      | ~ model_max(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_30013,c_63]) ).

tcf(c_43801,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK2,X0)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30013,c_62]) ).

tcf(c_43813,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_3713]) ).

tcf(c_43814,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_2539]) ).

tcf(c_43815,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_2532]) ).

tcf(c_43816,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1497]) ).

tcf(c_43817,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1851]) ).

tcf(c_43818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1351]) ).

tcf(c_43819,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,sK2,max(X1,X2))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_1440]) ).

tcf(c_44145,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK0),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42309,c_1405]) ).

tcf(c_44146,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK0,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42309,c_1496]) ).

tcf(c_44148,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK0,sK0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42309,c_1390]) ).

tcf(c_44149,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK0,sK0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42309,c_1376]) ).

tcf(c_44238,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_42332]) ).

tcf(c_44257,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2537,c_42332]) ).

tcf(c_44258,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1491,c_42332]) ).

tcf(c_44261,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_42332]) ).

tcf(c_44264,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_42332]) ).

tcf(c_44266,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_42332]) ).

tcf(c_44268,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_42332]) ).

tcf(c_44269,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_42332]) ).

tcf(c_44273,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_42332]) ).

tcf(c_44274,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK0,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_42332]) ).

tcf(c_44276,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(sK0,sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_42332]) ).

tcf(c_44403,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_26068]) ).

tcf(c_44404,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_24518]) ).

tcf(c_44405,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_2536]) ).

tcf(c_44406,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_2529]) ).

tcf(c_44407,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_1530]) ).

tcf(c_44408,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_1476]) ).

tcf(c_44409,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_3134]) ).

tcf(c_44410,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_1461]) ).

tcf(c_44417,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_24529]) ).

tcf(c_44419,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_24427]) ).

tcf(c_44421,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_32597]) ).

tcf(c_44539,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_27462,c_40598]) ).

tcf(c_44545,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK5(sK0,sK1,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_31089]) ).

tcf(c_44551,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_31089,c_1405]) ).

tcf(c_44552,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),X0) ),
    inference(superposition,[status(thm)],[c_31089,c_1496]) ).

tcf(c_44554,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK2,sK5(sK0,sK1,sK2))) = X0 ) ),
    inference(superposition,[status(thm)],[c_31089,c_1390]) ).

tcf(c_44555,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK2,sK5(sK0,sK1,sK2)),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_31089,c_1376]) ).

tcf(c_44569,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_31689,c_40598]) ).

tcf(c_44578,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_44569]) ).

tcf(c_44579,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_44569]) ).

tcf(c_44580,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_44569]) ).

tcf(c_44581,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_44569]) ).

tcf(c_44582,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_1375,c_44569]) ).

tcf(c_44585,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_44569]) ).

tcf(c_44586,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_44569]) ).

tcf(c_44587,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_44569]) ).

tcf(c_44588,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_44569]) ).

tcf(c_44589,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_44569]) ).

tcf(c_44590,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_44569]) ).

tcf(c_44591,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_44569]) ).

tcf(c_44592,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_44569]) ).

tcf(c_44593,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_44569]) ).

tcf(c_44594,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_44569]) ).

tcf(c_44607,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_44569]) ).

tcf(c_44608,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_44569]) ).

tcf(c_44615,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK0),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_44569,c_1405]) ).

tcf(c_44616,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(max(sK0,sK0),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_44569,c_1496]) ).

tcf(c_44618,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),max(sK0,sK0)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_44569,c_1390]) ).

tcf(c_44619,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(sK0,sK0),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_44569,c_1376]) ).

tcf(c_44767,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK0,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44582,c_1405]) ).

tcf(c_44768,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK0,sK0),X0) ),
    inference(superposition,[status(thm)],[c_44582,c_1496]) ).

tcf(c_44769,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44582,c_3116]) ).

tcf(c_44770,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_44582,c_1390]) ).

tcf(c_44771,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_44582,c_1376]) ).

tcf(c_44779,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_44582,c_1405]) ).

tcf(c_44780,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_44582,c_1496]) ).

tcf(c_44781,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_44582,c_3116]) ).

tcf(c_44782,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44582,c_1390]) ).

tcf(c_44783,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44582,c_1376]) ).

tcf(c_44791,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_44783,c_1375]) ).

tcf(c_44794,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_44782,c_1375]) ).

tcf(c_44885,plain,
    ( ( sK1 = sK2 )
    | ( sK2 != max(sK0,sK1) )
    | ( sK1 != max(sK0,sK1) ) ),
    inference(instantiation,[status(thm)],[c_7937]) ).

tcf(c_44893,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),sK1)
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_34832,c_55]) ).

tcf(c_44897,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_2529]) ).

tcf(c_44899,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34832,c_1476]) ).

tcf(c_44901,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34832,c_1461]) ).

tcf(c_44902,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( X0 = sK0 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_34832,c_72]) ).

tcf(c_44904,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34832,c_60]) ).

tcf(c_44913,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_2536]) ).

tcf(c_44914,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_2529]) ).

tcf(c_44915,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_1530]) ).

tcf(c_44916,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34832,c_1476]) ).

tcf(c_44918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_34832,c_1461]) ).

tcf(c_44919,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( X0 = sK1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34832,c_72]) ).

tcf(c_44924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_1437]) ).

tcf(c_44926,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK1)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34832,c_1762]) ).

tcf(c_44927,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK1)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34832,c_1733]) ).

tcf(c_45005,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35445]) ).

tcf(c_45010,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,X1),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35445,c_1405]) ).

tcf(c_45011,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35445,c_1496]) ).

tcf(c_45013,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35445,c_1390]) ).

tcf(c_45014,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35445,c_1376]) ).

tcf(c_45029,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35451]) ).

tcf(c_45030,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35451,c_2108]) ).

tcf(c_45032,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,sK1) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35451,c_1585]) ).

tcf(c_45034,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,sK1),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35451,c_1405]) ).

tcf(c_45035,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,sK1),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35451,c_1496]) ).

tcf(c_45037,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(X0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35451,c_1390]) ).

tcf(c_45038,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(X0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35451,c_1376]) ).

tcf(c_45039,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_35451,c_40730]) ).

tcf(c_45260,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35454]) ).

tcf(c_45264,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35454,c_1580]) ).

tcf(c_45265,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,X1),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35454,c_1405]) ).

tcf(c_45266,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK1,X0),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35454,c_1496]) ).

tcf(c_45268,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(sK1,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35454,c_1390]) ).

tcf(c_45269,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(sK1,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35454,c_1376]) ).

tcf(c_45296,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35466]) ).

tcf(c_45301,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,X1),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35466,c_1405]) ).

tcf(c_45302,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35466,c_1496]) ).

tcf(c_45304,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35466,c_1390]) ).

tcf(c_45305,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35466,c_1376]) ).

tcf(c_45320,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35468]) ).

tcf(c_45325,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,sK1),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35468,c_1405]) ).

tcf(c_45326,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,sK1),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35468,c_1496]) ).

tcf(c_45328,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(X0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35468,c_1390]) ).

tcf(c_45329,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(X0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35468,c_1376]) ).

tcf(c_45406,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35473]) ).

tcf(c_45411,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,X1),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35473,c_1405]) ).

tcf(c_45412,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK1,X0),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35473,c_1496]) ).

tcf(c_45414,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(sK1,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35473,c_1390]) ).

tcf(c_45415,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(sK1,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35473,c_1376]) ).

tcf(c_45439,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_36414]) ).

tcf(c_45458,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_36414]) ).

tcf(c_45459,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_36414]) ).

tcf(c_45462,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_36414]) ).

tcf(c_45465,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_36414]) ).

tcf(c_45468,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_36414]) ).

tcf(c_45469,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_36414]) ).

tcf(c_45472,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_36414]) ).

tcf(c_45473,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_36414]) ).

tcf(c_45474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ lesseq(X2,sK1)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_36414]) ).

tcf(c_45475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_36414]) ).

tcf(c_45476,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_36414]) ).

tcf(c_45477,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2531,c_36414]) ).

tcf(c_45478,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_36414]) ).

tcf(c_45482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_36414]) ).

tcf(c_45483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_36414]) ).

tcf(c_45485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK1,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_36414]) ).

tcf(c_45487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_36414]) ).

tcf(c_45488,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_36414]) ).

tcf(c_45497,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_36414]) ).

tcf(c_45498,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_36414]) ).

tcf(c_45571,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_36417]) ).

tcf(c_45590,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_36417]) ).

tcf(c_45591,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_36417]) ).

tcf(c_45594,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_36417]) ).

tcf(c_45597,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_36417]) ).

tcf(c_45600,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | ( max(X0,X1) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_36417]) ).

tcf(c_45601,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_36417]) ).

tcf(c_45604,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_36417]) ).

tcf(c_45606,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ lesseq(X2,sK1)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_36417]) ).

tcf(c_45607,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_36417]) ).

tcf(c_45609,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_36417]) ).

tcf(c_45610,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_36417]) ).

tcf(c_45614,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_36417]) ).

tcf(c_45615,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_36417]) ).

tcf(c_45617,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK1,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_36417]) ).

tcf(c_45619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_36417]) ).

tcf(c_45629,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | ( max(X1,X0) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_36417]) ).

tcf(c_45630,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_36417]) ).

tcf(c_45855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_36420]) ).

tcf(c_45856,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_36420]) ).

tcf(c_45861,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ lesseq(X2,sK1)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_36420]) ).

tcf(c_45862,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_36420]) ).

tcf(c_45875,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_36420]) ).

tcf(c_45884,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_36420]) ).

tcf(c_45885,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_36420]) ).

tcf(c_45968,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK1,sK1) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36454,c_2108]) ).

tcf(c_45972,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK1),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36454,c_1405]) ).

tcf(c_45973,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK1),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36454,c_1496]) ).

tcf(c_45975,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_36454,c_1390]) ).

tcf(c_45976,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36454,c_1376]) ).

tcf(c_45992,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ~ model_max(sK0,sK1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_34802,c_24427,c_40730]) ).

tcf(c_45999,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_45992]) ).

tcf(c_46000,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_45992]) ).

tcf(c_46001,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(max(sK0,sK1),X0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_45992]) ).

tcf(c_46003,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1582,c_45992]) ).

tcf(c_46004,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(X0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_1439,c_45992]) ).

tcf(c_46009,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_3713,c_45992]) ).

tcf(c_46010,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2539,c_45992]) ).

tcf(c_46011,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_2532,c_45992]) ).

tcf(c_46012,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1497,c_45992]) ).

tcf(c_46013,plain,
    lesseq(sK1,max(sK0,sK1)),
    inference(superposition,[status(thm)],[c_1353,c_45992]) ).

tcf(c_46014,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1440,c_45992]) ).

tcf(c_46016,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_45992]) ).

tcf(c_46020,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_2109,c_45992]) ).

tcf(c_46021,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1586,c_45992]) ).

tcf(c_46023,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2111,c_45992]) ).

tcf(c_46024,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_45992]) ).

tcf(c_46051,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_46000,c_40598]) ).

tcf(c_46113,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34803,c_1585]) ).

tcf(c_46115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34803,c_1405]) ).

tcf(c_46116,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34803,c_1496]) ).

tcf(c_46118,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34803,c_1390]) ).

tcf(c_46119,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34803,c_1376]) ).

tcf(c_46124,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(light_normalisation,[status(thm)],[c_46119,c_40598]) ).

tcf(c_46128,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(light_normalisation,[status(thm)],[c_46118,c_40598]) ).

tcf(c_46132,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(light_normalisation,[status(thm)],[c_46116,c_40598]) ).

tcf(c_46137,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_46115,c_40598]) ).

tcf(c_46148,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK1,sK1) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36457,c_2108]) ).

tcf(c_46152,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK1),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36457,c_1405]) ).

tcf(c_46153,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK1),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36457,c_1496]) ).

tcf(c_46155,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_36457,c_1390]) ).

tcf(c_46156,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36457,c_1376]) ).

tcf(c_46196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_2536]) ).

tcf(c_46199,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_36587,c_1476]) ).

tcf(c_46200,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_3134]) ).

tcf(c_46201,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_36587,c_1461]) ).

tcf(c_46202,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_72]) ).

tcf(c_46204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_60]) ).

tcf(c_46205,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36587,c_68]) ).

tcf(c_46206,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36587,c_67]) ).

tcf(c_46207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_36587,c_1437]) ).

tcf(c_46208,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_36587,c_62]) ).

tcf(c_46209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_36587,c_1762]) ).

tcf(c_46210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_36587,c_1733]) ).

tcf(c_46216,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_36587,c_6991]) ).

tcf(c_46217,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_36587,c_55]) ).

tcf(c_46220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_2536]) ).

tcf(c_46221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_2529]) ).

tcf(c_46222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_1530]) ).

tcf(c_46223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_36587,c_1476]) ).

tcf(c_46224,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_3134]) ).

tcf(c_46225,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_36587,c_1461]) ).

tcf(c_46226,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_72]) ).

tcf(c_46228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_60]) ).

tcf(c_46229,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_36587,c_68]) ).

tcf(c_46230,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_36587,c_67]) ).

tcf(c_46231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_36587,c_1437]) ).

tcf(c_46232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_36587,c_62]) ).

tcf(c_46233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_36587,c_1762]) ).

tcf(c_46234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_36587,c_1733]) ).

tcf(c_46248,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_36587,c_6991]) ).

tcf(c_46253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36587,c_1405]) ).

tcf(c_46255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_3116]) ).

tcf(c_46444,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK1,sK0),sK1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37757,c_1405]) ).

tcf(c_46445,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(max(sK1,sK0),sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37757,c_1496]) ).

tcf(c_46446,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37757,c_3116]) ).

tcf(c_46447,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(max(sK1,sK0),sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37757,c_1390]) ).

tcf(c_46448,plain,
    ( ( sK0 = sK2 )
    | ( max(max(max(sK1,sK0),sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37757,c_1376]) ).

tcf(c_46560,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,max(sK1,sK0)),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37830,c_1405]) ).

tcf(c_46561,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,max(sK1,sK0)),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37830,c_1496]) ).

tcf(c_46562,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37830,c_3116]) ).

tcf(c_46563,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK1,max(sK1,sK0))) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37830,c_1390]) ).

tcf(c_46564,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,max(sK1,sK0)),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37830,c_1376]) ).

tcf(c_46594,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK5(sK0,sK1,sK1),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38470]) ).

tcf(c_46600,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38470,c_1405]) ).

tcf(c_46601,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),X0) ),
    inference(superposition,[status(thm)],[c_38470,c_1496]) ).

tcf(c_46603,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,max(sK5(sK0,sK1,sK2),sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_38470,c_1390]) ).

tcf(c_46604,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(sK5(sK0,sK1,sK2),sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38470,c_1376]) ).

tcf(c_46624,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,X1),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_39565,c_1405]) ).

tcf(c_46625,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK2,X0),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_39565,c_1496]) ).

tcf(c_46627,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(sK2,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39565,c_1390]) ).

tcf(c_46628,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(sK2,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39565,c_1376]) ).

tcf(c_46632,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_39565,c_24681]) ).

tcf(c_46633,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_39565,c_31071]) ).

tcf(c_46717,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,sK1),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_39611,c_1405]) ).

tcf(c_46718,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(X0,sK1),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39611,c_1496]) ).

tcf(c_46720,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(X0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_39611,c_1390]) ).

tcf(c_46721,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(X0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39611,c_1376]) ).

tcf(c_46728,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39611,c_24681]) ).

tcf(c_46867,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,sK2),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40014,c_1405]) ).

tcf(c_46868,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,sK2),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40014,c_1496]) ).

tcf(c_46870,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(X0,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40014,c_1390]) ).

tcf(c_46871,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(X0,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40014,c_1376]) ).

tcf(c_46899,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,X1),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40134,c_1405]) ).

tcf(c_46900,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK2,X0),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40134,c_1496]) ).

tcf(c_46902,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(sK2,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40134,c_1390]) ).

tcf(c_46903,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(sK2,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40134,c_1376]) ).

tcf(c_46908,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_40134,c_31071]) ).

tcf(c_46929,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK0)
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_40637,c_55]) ).

tcf(c_46933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_2529]) ).

tcf(c_46935,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_1476]) ).

tcf(c_46937,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_1461]) ).

tcf(c_46938,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_40637,c_72]) ).

tcf(c_46940,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40637,c_60]) ).

tcf(c_46943,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_26081]) ).

tcf(c_46956,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_2536]) ).

tcf(c_46957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_2529]) ).

tcf(c_46958,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_1530]) ).

tcf(c_46959,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_1476]) ).

tcf(c_46961,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40637,c_1461]) ).

tcf(c_46962,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( X0 = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40637,c_72]) ).

tcf(c_46964,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40637,c_60]) ).

tcf(c_46965,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_68]) ).

tcf(c_46966,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_67]) ).

tcf(c_46967,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_1437]) ).

tcf(c_46968,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_62]) ).

tcf(c_46969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40637,c_1762]) ).

tcf(c_46970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40637,c_1733]) ).

tcf(c_47215,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK2,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40735,c_1956]) ).

tcf(c_47217,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK1,sK2) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40735,c_1580]) ).

tcf(c_47218,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK2),X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40735,c_1405]) ).

tcf(c_47219,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK2),X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40735,c_1496]) ).

tcf(c_47220,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40735,c_3116]) ).

tcf(c_47221,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(sK1,max(sK1,sK2)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40735,c_1390]) ).

tcf(c_47222,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(max(sK1,sK2),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40735,c_1376]) ).

tcf(c_47251,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,sK1),X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40739,c_1405]) ).

tcf(c_47252,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK2,sK1),X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40739,c_1496]) ).

tcf(c_47253,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40739,c_3116]) ).

tcf(c_47254,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(sK1,max(sK2,sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40739,c_1390]) ).

tcf(c_47255,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(max(sK2,sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40739,c_1376]) ).

tcf(c_47274,plain,
    ( model_max(sK1,sK0,sK2)
    | model_max(sK0,sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_44569]) ).

tcf(c_47276,plain,
    ( model_max(sK2,sK0,sK0)
    | model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_25562]) ).

tcf(c_47278,plain,
    ( model_max(sK1,sK2,sK0)
    | model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_24842]) ).

tcf(c_47279,plain,
    ( model_max(sK2,sK1,sK0)
    | model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_24700]) ).

tcf(c_47280,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_25708]) ).

tcf(c_47281,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_24533]) ).

tcf(c_47294,plain,
    ( model_max(sK0,sK0,sK0)
    | ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40743,c_2933]) ).

tcf(c_47295,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40743,c_1437]) ).

tcf(c_47299,plain,
    ( ( sK1 = sK2 )
    | ( sK0 = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_1462]) ).

tcf(c_47300,plain,
    ( model_max(sK1,sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_1353]) ).

tcf(c_47301,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_40743,c_63]) ).

tcf(c_47302,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40743,c_62]) ).

tcf(c_47303,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_4126]) ).

tcf(c_47305,plain,
    ( model_max(sK1,sK0,sK1)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_18316]) ).

tcf(c_47307,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_3000]) ).

tcf(c_47308,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_2995]) ).

tcf(c_47309,plain,
    ( model_max(sK0,sK1,sK1)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_14802]) ).

tcf(c_47310,plain,
    ( model_max(sK0,sK0,sK0)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40743,c_14507]) ).

tcf(c_47312,plain,
    ( lesseq(sK0,sK0)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40743,c_12029]) ).

tcf(c_47313,plain,
    ( ( sK1 = sK2 )
    | ( sK0 = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_1477]) ).

tcf(c_47314,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_3713]) ).

tcf(c_47315,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_2539]) ).

tcf(c_47316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_2532]) ).

tcf(c_47317,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_1497]) ).

tcf(c_47318,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_1851]) ).

tcf(c_47319,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_1351]) ).

tcf(c_47320,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK1,sK0,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_1440]) ).

tcf(c_47363,plain,
    ( model_max(sK0,sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_47310,c_40598]) ).

tcf(c_47385,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_47307,c_40598]) ).

tcf(c_47644,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK0),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47300,c_1405]) ).

tcf(c_47645,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47300,c_1496]) ).

tcf(c_47647,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,max(sK1,sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_47300,c_1390]) ).

tcf(c_47648,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK1,sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_47300,c_1376]) ).

tcf(c_47667,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_40750]) ).

tcf(c_47668,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_40750]) ).

tcf(c_47669,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_40750]) ).

tcf(c_47670,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_40750]) ).

tcf(c_47673,plain,
    ( model_max(sK1,sK0,sK2)
    | model_max(sK0,sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_40750]) ).

tcf(c_47675,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_40750]) ).

tcf(c_47676,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_40750]) ).

tcf(c_47677,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_40750]) ).

tcf(c_47678,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_40750]) ).

tcf(c_47679,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_40750]) ).

tcf(c_47681,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_40750]) ).

tcf(c_47682,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_40750]) ).

tcf(c_47683,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_40750]) ).

tcf(c_47684,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_40750]) ).

tcf(c_47697,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_40750]) ).

tcf(c_47698,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_40750]) ).

tcf(c_47705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK1),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_40750,c_1405]) ).

tcf(c_47706,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(max(sK0,sK1),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_40750,c_1496]) ).

tcf(c_47708,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(X0,X1),max(sK0,sK1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_40750,c_1390]) ).

tcf(c_47709,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(max(sK0,sK1),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_40750,c_1376]) ).

tcf(c_47772,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK1)
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_40787,c_55]) ).

tcf(c_47776,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_2529]) ).

tcf(c_47778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_1476]) ).

tcf(c_47780,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_1461]) ).

tcf(c_47781,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_40787,c_72]) ).

tcf(c_47783,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40787,c_60]) ).

tcf(c_47793,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_36417]) ).

tcf(c_47799,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_2536]) ).

tcf(c_47800,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_2529]) ).

tcf(c_47801,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_1530]) ).

tcf(c_47802,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_1476]) ).

tcf(c_47804,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40787,c_1461]) ).

tcf(c_47805,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( X0 = sK1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40787,c_72]) ).

tcf(c_47808,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40787,c_68]) ).

tcf(c_47809,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40787,c_67]) ).

tcf(c_47810,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_1437]) ).

tcf(c_47811,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_62]) ).

tcf(c_47812,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40787,c_1762]) ).

tcf(c_47813,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40787,c_1733]) ).

tcf(c_48081,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,X0),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40900,c_1405]) ).

tcf(c_48082,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,X0),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40900,c_1496]) ).

tcf(c_48084,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK1,X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40900,c_1390]) ).

tcf(c_48085,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK1,X0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40900,c_1376]) ).

tcf(c_48157,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,sK2),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40954,c_1405]) ).

tcf(c_48158,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,sK2),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40954,c_1496]) ).

tcf(c_48160,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(X0,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40954,c_1390]) ).

tcf(c_48161,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(X0,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40954,c_1376]) ).

tcf(c_48256,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_41208]) ).

tcf(c_48262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,X1),X0)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_41208,c_1405]) ).

tcf(c_48263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK2,X0),X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_41208,c_1496]) ).

tcf(c_48265,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = X0 )
      | ( max(sK2,max(sK2,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41208,c_1390]) ).

tcf(c_48266,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = X0 )
      | ( max(max(sK2,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41208,c_1376]) ).

tcf(c_48268,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_41208,c_25543]) ).

tcf(c_48271,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_41208,c_31071]) ).

tcf(c_48426,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,sK0),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_41254,c_1405]) ).

tcf(c_48427,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(X0,sK0),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41254,c_1496]) ).

tcf(c_48429,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(X0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_41254,c_1390]) ).

tcf(c_48430,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(X0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_41254,c_1376]) ).

tcf(c_48506,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_41818]) ).

tcf(c_48512,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,sK2),X0)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_41818,c_1405]) ).

tcf(c_48513,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,sK2),X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_41818,c_1496]) ).

tcf(c_48515,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = X0 )
      | ( max(sK2,max(X0,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41818,c_1390]) ).

tcf(c_48516,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = X0 )
      | ( max(max(X0,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41818,c_1376]) ).

tcf(c_48540,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),sK0)
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_41924,c_55]) ).

tcf(c_48544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_2529]) ).

tcf(c_48546,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_41924,c_1476]) ).

tcf(c_48548,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_41924,c_1461]) ).

tcf(c_48549,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( X0 = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_41924,c_72]) ).

tcf(c_48551,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_41924,c_60]) ).

tcf(c_48568,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( X0 = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_41924,c_72]) ).

tcf(c_48570,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_41924,c_60]) ).

tcf(c_48696,plain,
    ( ( sK1 = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(global_subsumption_just,[status(thm)],[c_42193,c_73,c_80,c_81,c_83,c_85,c_508,c_519,c_599,c_1639,c_1875,c_2072,c_2247,c_2360,c_2485,c_2891,c_2892,c_2974,c_3364,c_3625,c_3626,c_4760,c_4761,c_4772,c_4965,c_5341,c_5344,c_6233,c_6543,c_6565,c_6572,c_6811,c_7938,c_8124,c_8465,c_8488,c_8937,c_9378,c_9399,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27176,c_27178,c_27412,c_30781,c_31001,c_34041,c_37290,c_44885]) ).

tcf(c_48722,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_48696]) ).

tcf(c_48726,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_48696]) ).

tcf(c_48731,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_48696]) ).

tcf(c_48733,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_48696]) ).

tcf(c_48734,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_48696]) ).

tcf(c_48738,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_48696]) ).

tcf(c_48739,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_48696]) ).

tcf(c_48741,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK1,sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_48696]) ).

tcf(c_48853,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,sK1),X0)
      | ~ lesseq(sK1,X0)
      | ~ lesseq(max(sK0,sK1),sK1) ),
    inference(instantiation,[status(thm)],[c_1636]) ).

tcf(c_48896,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_47301]) ).

tcf(c_48898,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1582,c_47301]) ).

tcf(c_48899,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_47301]) ).

tcf(c_48900,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_47301]) ).

tcf(c_48901,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_47301]) ).

tcf(c_48902,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_47301]) ).

tcf(c_48903,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_47301]) ).

tcf(c_48904,plain,
    ( lesseq(sK0,max(sK1,sK0))
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1353,c_47301]) ).

tcf(c_48905,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1440,c_47301]) ).

tcf(c_48911,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_2109,c_47301]) ).

tcf(c_48914,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_47301]) ).

tcf(c_48915,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_47301]) ).

tcf(c_48917,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1959,c_47301]) ).

tcf(c_48918,plain,
    ( lesseq(sK0,sK1)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2107,c_47301]) ).

tcf(c_48950,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_48915,c_40598]) ).

tcf(c_48973,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47302,c_2108]) ).

tcf(c_48977,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_47302,c_1405]) ).

tcf(c_48978,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47302,c_1496]) ).

tcf(c_48980,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47302,c_1390]) ).

tcf(c_48981,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47302,c_1376]) ).

tcf(c_49008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_26975]) ).

tcf(c_49009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_26975]) ).

tcf(c_49010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_26975]) ).

tcf(c_49018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_26975]) ).

tcf(c_49024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_26975]) ).

tcf(c_49025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_26975]) ).

tcf(c_49028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_26975]) ).

tcf(c_49029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_26975]) ).

tcf(c_49030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_26975]) ).

tcf(c_49031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_26975]) ).

tcf(c_49032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_26975]) ).

tcf(c_49033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_26975]) ).

tcf(c_49035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_26975]) ).

tcf(c_49038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_26975]) ).

tcf(c_49039,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_26975]) ).

tcf(c_49040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_26975]) ).

tcf(c_49042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_26975]) ).

tcf(c_49043,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_26975]) ).

tcf(c_49046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,sK2)
      | lesseq(sK5(X0,X1,X2),X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_26975]) ).

tcf(c_49047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_26975]) ).

tcf(c_49048,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_26975]) ).

tcf(c_49049,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_26975]) ).

tcf(c_49050,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_26975]) ).

tcf(c_49053,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_26975]) ).

tcf(c_49054,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1497,c_26975]) ).

tcf(c_49056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_26975]) ).

tcf(c_49059,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_26975]) ).

tcf(c_49061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_26975]) ).

tcf(c_49062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_26975]) ).

tcf(c_49063,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_26975]) ).

tcf(c_49064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_26975]) ).

tcf(c_49065,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_26975]) ).

tcf(c_49066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_26975]) ).

tcf(c_49074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X0,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_26975]) ).

tcf(c_49075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X1,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_26975]) ).

tcf(c_49078,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_26975]) ).

tcf(c_49079,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_26975]) ).

tcf(c_49080,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24530,c_26975]) ).

tcf(c_49081,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_26975]) ).

tcf(c_49092,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_26975]) ).

tcf(c_49102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_26975]) ).

tcf(c_49103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_26975]) ).

tcf(c_49104,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_26975]) ).

tcf(c_49105,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_26975]) ).

tcf(c_49106,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_26975]) ).

tcf(c_49107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_26975]) ).

tcf(c_49110,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_26975]) ).

tcf(c_49112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(sK1,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_26975]) ).

tcf(c_49113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(sK1,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_26975]) ).

tcf(c_49114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(sK1,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_26975]) ).

tcf(c_49115,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(sK1,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_26975]) ).

tcf(c_49859,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48904,c_2529]) ).

tcf(c_49861,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_48904,c_1476]) ).

tcf(c_49862,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48904,c_3134]) ).

tcf(c_49863,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_48904,c_1461]) ).

tcf(c_49865,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48904,c_1402]) ).

tcf(c_49866,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_48904,c_60]) ).

tcf(c_49867,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK1,sK0),sK0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_48904,c_68]) ).

tcf(c_49868,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_48904,c_67]) ).

tcf(c_49869,plain,
    ( lesseq(sK1,max(sK1,sK0))
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48904,c_42195]) ).

tcf(c_49870,plain,
    ( lesseq(sK2,max(sK1,sK0))
    | ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_48904,c_6991]) ).

tcf(c_50231,plain,
    ( lesseq(sK1,sK1)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_49869]) ).

tcf(c_50240,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_49869,c_2536]) ).

tcf(c_50241,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_49869,c_2529]) ).

tcf(c_50242,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_49869,c_1530]) ).

tcf(c_50243,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_49869,c_1476]) ).

tcf(c_50244,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_49869,c_3134]) ).

tcf(c_50245,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_49869,c_1461]) ).

tcf(c_50246,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK1 )
    | ~ lesseq(max(sK1,sK0),sK1) ),
    inference(superposition,[status(thm)],[c_49869,c_72]) ).

tcf(c_50247,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_49869,c_1402]) ).

tcf(c_50248,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_49869,c_60]) ).

tcf(c_50249,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK1,sK0),sK1) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_49869,c_68]) ).

tcf(c_50250,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_49869,c_67]) ).

tcf(c_50260,plain,
    ( lesseq(sK1,sK1)
    | ( sK1 = sK2 )
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_50231,c_40598]) ).

tcf(c_50293,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43134,c_1956]) ).

tcf(c_50295,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK1) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43134,c_1580]) ).

tcf(c_50296,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK1),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_43134,c_1405]) ).

tcf(c_50297,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK1),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43134,c_1496]) ).

tcf(c_50299,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_43134,c_1390]) ).

tcf(c_50300,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_43134,c_1376]) ).

tcf(c_50309,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_50295,c_40598]) ).

tcf(c_50321,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43137,c_1956]) ).

tcf(c_50323,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,sK1) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43137,c_1580]) ).

tcf(c_50324,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK1),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_43137,c_1405]) ).

tcf(c_50325,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK1),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43137,c_1496]) ).

tcf(c_50327,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_43137,c_1390]) ).

tcf(c_50328,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_43137,c_1376]) ).

tcf(c_50337,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_50323,c_40598]) ).

tcf(c_50348,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_43523]) ).

tcf(c_50354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,X1),X0)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_43523,c_1405]) ).

tcf(c_50355,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK2,X0),X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_43523,c_1496]) ).

tcf(c_50357,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(sK2,max(sK2,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43523,c_1390]) ).

tcf(c_50358,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(max(sK2,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43523,c_1376]) ).

tcf(c_50363,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_43523,c_31071]) ).

tcf(c_50392,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,X0),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_43747,c_1405]) ).

tcf(c_50393,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,X0),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43747,c_1496]) ).

tcf(c_50395,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK0,X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_43747,c_1390]) ).

tcf(c_50396,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK0,X0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_43747,c_1376]) ).

tcf(c_50454,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_43799]) ).

tcf(c_50460,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,sK2),X0)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_43799,c_1405]) ).

tcf(c_50461,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,sK2),X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_43799,c_1496]) ).

tcf(c_50463,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(sK2,max(X0,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43799,c_1390]) ).

tcf(c_50464,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(max(X0,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43799,c_1376]) ).

tcf(c_50486,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK0) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44791,c_2108]) ).

tcf(c_50490,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK0),X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44791,c_1405]) ).

tcf(c_50491,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK0),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44791,c_1496]) ).

tcf(c_50493,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_44791,c_1390]) ).

tcf(c_50494,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK2 )
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_44791,c_1376]) ).

tcf(c_50512,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK0) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44794,c_2108]) ).

tcf(c_50516,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK0),X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44794,c_1405]) ).

tcf(c_50517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK0),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44794,c_1496]) ).

tcf(c_50519,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_44794,c_1390]) ).

tcf(c_50520,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK2 )
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_44794,c_1376]) ).

tcf(c_50631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(X3,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_23746]) ).

tcf(c_50647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_26986]) ).

tcf(c_50648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_26986]) ).

tcf(c_50649,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_26986]) ).

tcf(c_50667,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_26986]) ).

tcf(c_50668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_26986]) ).

tcf(c_50670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_26986]) ).

tcf(c_50671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_26986]) ).

tcf(c_50674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_26986]) ).

tcf(c_50677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_26986]) ).

tcf(c_50678,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_26986]) ).

tcf(c_50679,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_26986]) ).

tcf(c_50680,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_26986]) ).

tcf(c_50681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_26986]) ).

tcf(c_50683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_26986]) ).

tcf(c_50686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X4,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_26986]) ).

tcf(c_50687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_26986]) ).

tcf(c_50689,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_26986]) ).

tcf(c_50690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_26986]) ).

tcf(c_50692,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_26986]) ).

tcf(c_50694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_26986]) ).

tcf(c_50695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_26986]) ).

tcf(c_50697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_26986]) ).

tcf(c_50699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_26986]) ).

tcf(c_50706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X0,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_26986]) ).

tcf(c_50707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_26986]) ).

tcf(c_50708,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_26986]) ).

tcf(c_50715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_26986]) ).

tcf(c_50716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_26986]) ).

tcf(c_50717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_26986]) ).

tcf(c_50718,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_26986]) ).

tcf(c_50719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_26986]) ).

tcf(c_50720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24697,c_26986]) ).

tcf(c_50721,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_26986]) ).

tcf(c_50724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_26986]) ).

tcf(c_50725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_26986]) ).

tcf(c_50726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_26986]) ).

tcf(c_50727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_26986]) ).

tcf(c_50728,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_26986]) ).

tcf(c_51121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X2,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_27007]) ).

tcf(c_51122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X2,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_27007]) ).

tcf(c_51123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X2,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_27007]) ).

tcf(c_51141,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X0,sK2)
      | lesseq(X3,X2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_27007]) ).

tcf(c_51142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X0,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27007]) ).

tcf(c_51143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_27007]) ).

tcf(c_51144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_27007]) ).

tcf(c_51145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_27007]) ).

tcf(c_51146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_27007]) ).

tcf(c_51148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27007]) ).

tcf(c_51151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_27007]) ).

tcf(c_51152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_27007]) ).

tcf(c_51153,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(max(X0,X1),sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_27007]) ).

tcf(c_51155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_27007]) ).

tcf(c_51159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X4,X3)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_27007]) ).

tcf(c_51160,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X4,X3)
      | lesseq(X3,X2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_27007]) ).

tcf(c_51166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X4,sK2)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_27007]) ).

tcf(c_51169,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_27007]) ).

tcf(c_51174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_27007]) ).

tcf(c_51177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_27007]) ).

tcf(c_51187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,sK2)
      | lesseq(X0,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_27007]) ).

tcf(c_51188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,sK2)
      | lesseq(X1,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_27007]) ).

tcf(c_51196,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_27007]) ).

tcf(c_51197,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_27007]) ).

tcf(c_51202,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_27007]) ).

tcf(c_51203,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_27007]) ).

tcf(c_51204,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_27007]) ).

tcf(c_51215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_27007]) ).

tcf(c_51216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_27007]) ).

tcf(c_51225,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_27007]) ).

tcf(c_51226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_27007]) ).

tcf(c_51227,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_27007]) ).

tcf(c_51228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_27007]) ).

tcf(c_51525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27204]) ).

tcf(c_51526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27204]) ).

tcf(c_51527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27204]) ).

tcf(c_51545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_27204]) ).

tcf(c_51546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27204]) ).

tcf(c_51548,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27204]) ).

tcf(c_51549,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_27204]) ).

tcf(c_51552,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27204]) ).

tcf(c_51555,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X2,sK1) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_27204]) ).

tcf(c_51556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(X2,sK1) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27204]) ).

tcf(c_51557,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(X0,sK2,X1))
      | ( max(X2,sK1) = X2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_27204]) ).

tcf(c_51558,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(sK2,X0,X1))
      | ( max(X2,sK1) = X2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_27204]) ).

tcf(c_51559,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_27204]) ).

tcf(c_51561,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_27204]) ).

tcf(c_51563,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_6979,c_27204]) ).

tcf(c_51564,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_27204]) ).

tcf(c_51565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27204]) ).

tcf(c_51567,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X2,sK1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_27204]) ).

tcf(c_51568,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_27204]) ).

tcf(c_51570,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | ( max(X2,sK1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27204]) ).

tcf(c_51572,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X3,X3,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_27204]) ).

tcf(c_51573,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27204]) ).

tcf(c_51574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27204]) ).

tcf(c_51575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_27204]) ).

tcf(c_51576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27204]) ).

tcf(c_51577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27204]) ).

tcf(c_51584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,sK1) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_27204]) ).

tcf(c_51585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,sK1) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_27204]) ).

tcf(c_51586,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_27204]) ).

tcf(c_51593,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_36587,c_27204]) ).

tcf(c_51594,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_27204]) ).

tcf(c_51595,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_27204]) ).

tcf(c_51596,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_27204]) ).

tcf(c_51597,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_27204]) ).

tcf(c_51598,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_27204]) ).

tcf(c_51599,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_27204]) ).

tcf(c_51602,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(X0,sK2))
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_27204]) ).

tcf(c_51603,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK2,X1))
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_27204]) ).

tcf(c_51604,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X1,sK2))
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_27204]) ).

tcf(c_51605,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(sK2,X0))
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_27204]) ).

tcf(c_51606,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_27204]) ).

tcf(c_52085,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27323]) ).

tcf(c_52086,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27323]) ).

tcf(c_52087,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27323]) ).

tcf(c_52105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_27323]) ).

tcf(c_52106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27323]) ).

tcf(c_52108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27323]) ).

tcf(c_52109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_27323]) ).

tcf(c_52112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27323]) ).

tcf(c_52115,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(sK1,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_27323]) ).

tcf(c_52116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(sK1,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27323]) ).

tcf(c_52117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(X0,sK2,X1))
      | ( max(sK1,X2) = X2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_27323]) ).

tcf(c_52118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(sK2,X0,X1))
      | ( max(sK1,X2) = X2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_27323]) ).

tcf(c_52119,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_27323]) ).

tcf(c_52121,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_27323]) ).

tcf(c_52123,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6979,c_27323]) ).

tcf(c_52124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_27323]) ).

tcf(c_52125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27323]) ).

tcf(c_52127,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_27323]) ).

tcf(c_52128,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_27323]) ).

tcf(c_52130,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | ( max(sK1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27323]) ).

tcf(c_52132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X3,X3,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_27323]) ).

tcf(c_52133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27323]) ).

tcf(c_52134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27323]) ).

tcf(c_52135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | model_max(X1,X1,max(X2,X3))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_27323]) ).

tcf(c_52136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27323]) ).

tcf(c_52137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27323]) ).

tcf(c_52144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(sK1,X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_27323]) ).

tcf(c_52145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(sK1,X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_27323]) ).

tcf(c_52146,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_27323]) ).

tcf(c_52153,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36587,c_27323]) ).

tcf(c_52154,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_27323]) ).

tcf(c_52155,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_27323]) ).

tcf(c_52156,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_27323]) ).

tcf(c_52157,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_27323]) ).

tcf(c_52158,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_27323]) ).

tcf(c_52159,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_27323]) ).

tcf(c_52162,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(X0,sK2))
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_27323]) ).

tcf(c_52163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK2,X1))
      | ( max(sK2,X1) = X1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_27323]) ).

tcf(c_52164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X1,sK2))
      | ( max(sK2,X1) = X1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_27323]) ).

tcf(c_52165,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(sK2,X0))
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_27323]) ).

tcf(c_52166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_27323]) ).

tcf(c_52351,plain,
    ( ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2)))
    | ~ model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_4197]) ).

tcf(c_52603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(X3,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_24107]) ).

tcf(c_52616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK1,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24675]) ).

tcf(c_52618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1529,c_24675]) ).

tcf(c_52636,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_24675]) ).

tcf(c_52637,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_24675]) ).

tcf(c_52639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_24675]) ).

tcf(c_52640,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_24675]) ).

tcf(c_52642,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_24675]) ).

tcf(c_52643,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_24675]) ).

tcf(c_52646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_24675]) ).

tcf(c_52648,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_24675]) ).

tcf(c_52649,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_24675]) ).

tcf(c_52651,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_24675]) ).

tcf(c_52652,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_24675]) ).

tcf(c_52653,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_24675]) ).

tcf(c_52654,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_24675]) ).

tcf(c_52655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_24675]) ).

tcf(c_52658,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_24675]) ).

tcf(c_52659,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_24675]) ).

tcf(c_52663,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_24675]) ).

tcf(c_52664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24675]) ).

tcf(c_52666,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_24675]) ).

tcf(c_52668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_24675]) ).

tcf(c_52684,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_24675]) ).

tcf(c_52685,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_24675]) ).

tcf(c_52686,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_24675]) ).

tcf(c_52687,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_24675]) ).

tcf(c_52688,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_24675]) ).

tcf(c_52689,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24697,c_24675]) ).

tcf(c_52690,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_24675]) ).

tcf(c_52693,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_24675]) ).

tcf(c_52694,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_24675]) ).

tcf(c_52695,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_24675]) ).

tcf(c_52696,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_24675]) ).

tcf(c_52697,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_24675]) ).

tcf(c_52902,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24695]) ).

tcf(c_52903,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24695,c_55]) ).

tcf(c_52904,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_27007]) ).

tcf(c_52905,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_26975]) ).

tcf(c_52906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_26068]) ).

tcf(c_52907,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_24518]) ).

tcf(c_52909,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(sK2,sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24695,c_2529]) ).

tcf(c_52911,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK2,sK1,X1)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24695,c_1476]) ).

tcf(c_52912,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24695,c_3134]) ).

tcf(c_52913,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24695,c_1461]) ).

tcf(c_52914,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24695,c_72]) ).

tcf(c_52916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24695,c_60]) ).

tcf(c_52917,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24695,c_68]) ).

tcf(c_52918,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24695,c_67]) ).

tcf(c_52919,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24695,c_1437]) ).

tcf(c_52920,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24695,c_62]) ).

tcf(c_52921,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24695,c_1762]) ).

tcf(c_52922,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24695,c_1733]) ).

tcf(c_52940,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_42195]) ).

tcf(c_52941,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24695,c_6991]) ).

tcf(c_52942,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24695,c_2108]) ).

tcf(c_52944,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24695,c_1585]) ).

tcf(c_52946,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24695,c_1405]) ).

tcf(c_52947,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24695,c_1496]) ).

tcf(c_52949,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24695,c_1390]) ).

tcf(c_52950,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24695,c_1376]) ).

tcf(c_52957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24695,c_1405]) ).

tcf(c_52958,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24695,c_1496]) ).

tcf(c_52960,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_1390]) ).

tcf(c_52961,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_1376]) ).

tcf(c_52983,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_52950,c_24428]) ).

tcf(c_52987,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_52949,c_24428]) ).

tcf(c_52991,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_52947,c_24428]) ).

tcf(c_53016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_52946,c_24428]) ).

tcf(c_53021,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_52944,c_24428]) ).

tcf(c_53159,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24696,c_2108]) ).

tcf(c_53161,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24696,c_1585]) ).

tcf(c_53163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24696,c_1405]) ).

tcf(c_53164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24696,c_1496]) ).

tcf(c_53166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24696,c_1390]) ).

tcf(c_53167,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24696,c_1376]) ).

tcf(c_53174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24696,c_1405]) ).

tcf(c_53175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24696,c_1496]) ).

tcf(c_53177,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24696,c_1390]) ).

tcf(c_53178,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24696,c_1376]) ).

tcf(c_53187,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_53167,c_24428]) ).

tcf(c_53191,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_53166,c_24428]) ).

tcf(c_53195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_53164,c_24428]) ).

tcf(c_53204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_53163,c_24428]) ).

tcf(c_53209,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_53161,c_24428]) ).

tcf(c_53221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK1,sK2,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24817]) ).

tcf(c_53223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_1529,c_24817]) ).

tcf(c_53242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_24817]) ).

tcf(c_53243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_24817]) ).

tcf(c_53245,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_24817]) ).

tcf(c_53246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_24817]) ).

tcf(c_53248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_24817]) ).

tcf(c_53249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_24817]) ).

tcf(c_53252,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_24817]) ).

tcf(c_53254,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_24817]) ).

tcf(c_53255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_24817]) ).

tcf(c_53257,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_24817]) ).

tcf(c_53258,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_24817]) ).

tcf(c_53259,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_24817]) ).

tcf(c_53260,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_24817]) ).

tcf(c_53261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_24817]) ).

tcf(c_53264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_24817]) ).

tcf(c_53265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_24817]) ).

tcf(c_53269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_24817]) ).

tcf(c_53270,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_24817]) ).

tcf(c_53272,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_24817]) ).

tcf(c_53274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_24817]) ).

tcf(c_53290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_24817]) ).

tcf(c_53291,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_24817]) ).

tcf(c_53292,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_24817]) ).

tcf(c_53293,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_24817]) ).

tcf(c_53294,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_24817]) ).

tcf(c_53296,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_24817]) ).

tcf(c_53299,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_24817]) ).

tcf(c_53300,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_24817]) ).

tcf(c_53301,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_24817]) ).

tcf(c_53302,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_24817]) ).

tcf(c_53303,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_24817]) ).

tcf(c_53650,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ~ model_max(sK0,sK1,sK2)
      | ( sK1 != sK1 )
      | ( sK0 != sK0 )
      | ( X0 != sK2 ) ),
    inference(instantiation,[status(thm)],[c_1874]) ).

tcf(c_53651,plain,
    ( model_max(sK0,sK1,sK0)
    | ~ model_max(sK0,sK1,sK2)
    | ( sK1 != sK1 )
    | ( sK0 != sK2 )
    | ( sK0 != sK0 ) ),
    inference(instantiation,[status(thm)],[c_53650]) ).

tcf(c_53680,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24837]) ).

tcf(c_53681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24837,c_55]) ).

tcf(c_53682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_27007]) ).

tcf(c_53683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_26975]) ).

tcf(c_53684,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_26068]) ).

tcf(c_53685,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_24518]) ).

tcf(c_53687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(sK1,sK2,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24837,c_2529]) ).

tcf(c_53689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK1,sK2,X1)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24837,c_1476]) ).

tcf(c_53690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24837,c_3134]) ).

tcf(c_53691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24837,c_1461]) ).

tcf(c_53692,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24837,c_72]) ).

tcf(c_53694,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24837,c_60]) ).

tcf(c_53695,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24837,c_68]) ).

tcf(c_53696,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24837,c_67]) ).

tcf(c_53697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24837,c_1437]) ).

tcf(c_53698,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24837,c_62]) ).

tcf(c_53699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24837,c_1762]) ).

tcf(c_53700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24837,c_1733]) ).

tcf(c_53719,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_42195]) ).

tcf(c_53720,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24837,c_6991]) ).

tcf(c_53725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24837,c_1405]) ).

tcf(c_53726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_24837,c_1496]) ).

tcf(c_53728,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24837,c_1390]) ).

tcf(c_53729,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24837,c_1376]) ).

tcf(c_53736,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24837,c_1405]) ).

tcf(c_53737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24837,c_1496]) ).

tcf(c_53739,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_1390]) ).

tcf(c_53740,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_1376]) ).

tcf(c_53845,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24838,c_1405]) ).

tcf(c_53846,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_24838,c_1496]) ).

tcf(c_53848,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24838,c_1390]) ).

tcf(c_53849,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24838,c_1376]) ).

tcf(c_53856,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24838,c_1405]) ).

tcf(c_53857,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24838,c_1496]) ).

tcf(c_53859,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24838,c_1390]) ).

tcf(c_53860,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24838,c_1376]) ).

tcf(c_53907,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(X0,sK1,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_40604,c_25020]) ).

tcf(c_53912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_2536]) ).

tcf(c_53913,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK1,sK1,X3)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_2529]) ).

tcf(c_53916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_3134]) ).

tcf(c_53918,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(X0,sK2,X1) = sK1 )
      | ~ model_ub(X0,sK2,X1)
      | ~ lesseq(sK5(X0,sK2,X1),sK1) ),
    inference(superposition,[status(thm)],[c_25020,c_72]) ).

tcf(c_53920,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | ~ model_ub(X0,sK2,X1)
      | ~ lesseq(sK5(X0,sK2,X1),X2) ),
    inference(superposition,[status(thm)],[c_25020,c_60]) ).

tcf(c_53921,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK5(X0,sK2,X1),sK1) = sK5(X0,sK2,X1) )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_68]) ).

tcf(c_53922,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK1,sK5(X0,sK2,X1)) = sK5(X0,sK2,X1) )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_67]) ).

tcf(c_54056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27550]) ).

tcf(c_54057,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27550]) ).

tcf(c_54058,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27550]) ).

tcf(c_54066,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25403,c_27550]) ).

tcf(c_54072,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_27550]) ).

tcf(c_54073,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_27550]) ).

tcf(c_54074,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25694,c_27550]) ).

tcf(c_54075,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25014,c_27550]) ).

tcf(c_54078,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_27550]) ).

tcf(c_54079,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27550]) ).

tcf(c_54080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_27550]) ).

tcf(c_54082,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_27550]) ).

tcf(c_54085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27550]) ).

tcf(c_54088,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_27550]) ).

tcf(c_54089,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_27550]) ).

tcf(c_54090,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | ( max(sK2,max(X0,X1)) = sK2 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_27550]) ).

tcf(c_54092,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_27550]) ).

tcf(c_54093,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27550]) ).

tcf(c_54094,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK5(X0,X1,X2))
      | ( max(sK2,X1) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_27550]) ).

tcf(c_54095,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK5(X0,X1,X2))
      | ( max(sK2,X0) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_27550]) ).

tcf(c_54096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_27550]) ).

tcf(c_54097,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_27550]) ).

tcf(c_54100,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_27550]) ).

tcf(c_54103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_27550]) ).

tcf(c_54104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27550]) ).

tcf(c_54106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_27550]) ).

tcf(c_54109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27550]) ).

tcf(c_54111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_27550]) ).

tcf(c_54112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27550]) ).

tcf(c_54113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27550]) ).

tcf(c_54114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X3,X0)
      | model_max(X1,X1,max(X2,X3))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_27550]) ).

tcf(c_54115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27550]) ).

tcf(c_54116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X3,X0)
      | lesseq(X1,max(X2,X3))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27550]) ).

tcf(c_54124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_27550]) ).

tcf(c_54125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_27550]) ).

tcf(c_54126,plain,
    ( lesseq(sK1,sK1)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_27550]) ).

tcf(c_54152,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | ( max(X1,X0) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_27550]) ).

tcf(c_54153,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(X1,X0) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_27550]) ).

tcf(c_54162,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_27550]) ).

tcf(c_54163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_27550]) ).

tcf(c_54164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X1,X0))
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_27550]) ).

tcf(c_54165,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X1,X0))
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_27550]) ).

tcf(c_54395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27640]) ).

tcf(c_54396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27640]) ).

tcf(c_54397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27640]) ).

tcf(c_54405,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25403,c_27640]) ).

tcf(c_54411,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_27640]) ).

tcf(c_54412,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_27640]) ).

tcf(c_54413,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25694,c_27640]) ).

tcf(c_54414,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25014,c_27640]) ).

tcf(c_54417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_27640]) ).

tcf(c_54418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27640]) ).

tcf(c_54419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_27640]) ).

tcf(c_54421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_27640]) ).

tcf(c_54424,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27640]) ).

tcf(c_54427,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_27640]) ).

tcf(c_54428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_27640]) ).

tcf(c_54429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | ( max(max(X0,X1),sK2) = sK2 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_27640]) ).

tcf(c_54431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_27640]) ).

tcf(c_54432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27640]) ).

tcf(c_54433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK5(X0,X1,X2))
      | ( max(X1,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_27640]) ).

tcf(c_54434,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK5(X0,X1,X2))
      | ( max(X0,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_27640]) ).

tcf(c_54435,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_27640]) ).

tcf(c_54436,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_27640]) ).

tcf(c_54442,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_27640]) ).

tcf(c_54443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27640]) ).

tcf(c_54445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_27640]) ).

tcf(c_54448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27640]) ).

tcf(c_54450,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_27640]) ).

tcf(c_54451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27640]) ).

tcf(c_54452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27640]) ).

tcf(c_54453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X3,X0)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_27640]) ).

tcf(c_54454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27640]) ).

tcf(c_54455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X3,X0)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27640]) ).

tcf(c_54463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_27640]) ).

tcf(c_54464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_27640]) ).

tcf(c_54491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_27640]) ).

tcf(c_54492,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_27640]) ).

tcf(c_54501,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_27640]) ).

tcf(c_54502,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_27640]) ).

tcf(c_54503,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X1,X0))
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_27640]) ).

tcf(c_54504,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X1,X0))
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_27640]) ).

tcf(c_54716,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X4,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3525,c_27794]) ).

tcf(c_54717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X4,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2535,c_27794]) ).

tcf(c_54718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1529,c_27794]) ).

tcf(c_54725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | model_max(X0,X1,sK2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24420,c_27794]) ).

tcf(c_54730,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1387,c_27794]) ).

tcf(c_54736,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1373,c_27794]) ).

tcf(c_54738,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X0,X1,sK2)
      | model_max(X3,X3,X2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2537,c_27794]) ).

tcf(c_54739,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1491,c_27794]) ).

tcf(c_54742,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_2538,c_27794]) ).

tcf(c_54745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1493,c_27794]) ).

tcf(c_54748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_27794]) ).

tcf(c_54749,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_27794]) ).

tcf(c_54750,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X1,sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_27794]) ).

tcf(c_54751,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X3,sK2)
      | model_max(X0,X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_27794]) ).

tcf(c_54752,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27794]) ).

tcf(c_54753,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(sK1,sK5(X0,max(X1,X2),X3))
      | ~ model_ub(X0,max(X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1652,c_27794]) ).

tcf(c_54754,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,sK5(max(X0,X1),X2,X3))
      | ~ model_ub(max(X0,X1),X2,X3) ),
    inference(superposition,[status(thm)],[c_1653,c_27794]) ).

tcf(c_54755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X3,X4,X0)
      | lesseq(sK1,max(X3,X4))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_27794]) ).

tcf(c_54756,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X3,X4,X0)
      | lesseq(sK1,max(X3,X4))
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_27794]) ).

tcf(c_54757,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | lesseq(sK1,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1351,c_27794]) ).

tcf(c_54758,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | model_max(X2,X3,sK2)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_27794]) ).

tcf(c_54759,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3349,c_27794]) ).

tcf(c_54761,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27794]) ).

tcf(c_54763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,X0)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3536,c_27794]) ).

tcf(c_54764,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X4,X4,X0)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3525,c_27794]) ).

tcf(c_54765,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X4,X0)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2535,c_27794]) ).

tcf(c_54766,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | model_max(X3,X4,sK2)
      | model_max(X1,X2,max(X3,X4))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_27794]) ).

tcf(c_54768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | model_max(X2,X3,sK2)
      | lesseq(X4,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1497,c_27794]) ).

tcf(c_54775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X0,max(X3,X4))
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_27794]) ).

tcf(c_54776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X1,max(X3,X4))
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_27794]) ).

tcf(c_54782,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_27794]) ).

tcf(c_54792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_27794]) ).

tcf(c_54793,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_27794]) ).

tcf(c_54794,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(sK1,max(X0,max(X1,X2)))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_27794]) ).

tcf(c_54795,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(max(X0,X1),X2))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_10774,c_27794]) ).

tcf(c_54796,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,max(X0,X1)))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_12029,c_27794]) ).

tcf(c_54797,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(sK1,max(max(X1,X2),X0))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_27794]) ).

tcf(c_54800,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X2,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_27794]) ).

tcf(c_54801,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X0,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_27794]) ).

tcf(c_54802,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X2,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1477,c_27794]) ).

tcf(c_54803,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X0,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1463,c_27794]) ).

tcf(c_54804,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_27794]) ).

tcf(c_54806,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40743,c_27794]) ).

tcf(c_54808,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(max(X2,X0),X0,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2864,c_27794]) ).

tcf(c_54809,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(max(X2,X0),X0,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2860,c_27794]) ).

tcf(c_54810,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(max(X0,X2),X0,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2865,c_27794]) ).

tcf(c_54811,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(max(X0,X2),X0,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2861,c_27794]) ).

tcf(c_54812,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27205,c_27794]) ).

tcf(c_54813,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27325,c_27794]) ).

tcf(c_54814,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,max(X2,X0),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3000,c_27794]) ).

tcf(c_54815,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,max(X2,X0),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2995,c_27794]) ).

tcf(c_54816,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,max(X0,X2),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3001,c_27794]) ).

tcf(c_54817,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,max(X0,X2),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2996,c_27794]) ).

tcf(c_54818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,X1,sK2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30012,c_27794]) ).

tcf(c_54819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,X1,sK2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28847,c_27794]) ).

tcf(c_54820,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,X1,sK2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27324,c_27794]) ).

tcf(c_54821,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,X1,sK2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27205,c_27794]) ).

tcf(c_54823,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,sK2,sK2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30013,c_27794]) ).

tcf(c_54824,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,sK2,sK2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28848,c_27794]) ).

tcf(c_54825,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,sK2,sK2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27325,c_27794]) ).

tcf(c_54826,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,sK2,sK2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27206,c_27794]) ).

tcf(c_54830,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_30013,c_27794]) ).

tcf(c_54831,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_28847,c_27794]) ).

tcf(c_55390,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X1,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_54750]) ).

tcf(c_55391,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X1,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_54750]) ).

tcf(c_55433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_3713,c_54750]) ).

tcf(c_55436,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_54750]) ).

tcf(c_55437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_54750]) ).

tcf(c_55438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_54750]) ).

tcf(c_55439,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_54750]) ).

tcf(c_55441,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_54750]) ).

tcf(c_55442,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_54750]) ).

tcf(c_55443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_54750]) ).

tcf(c_55448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X1,X0,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_54750]) ).

tcf(c_55449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X1,X0,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_54750]) ).

tcf(c_55454,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X0,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_54750]) ).

tcf(c_55457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X1,X1,sK2)
      | model_max(X2,X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_54750]) ).

tcf(c_55458,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X1,X1,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_54750]) ).

tcf(c_55461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_54750]) ).

tcf(c_55466,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_54750]) ).

tcf(c_55686,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(sK1,X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_40604,c_25021]) ).

tcf(c_55693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_2536]) ).

tcf(c_55694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK1,sK1,X3)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_2529]) ).

tcf(c_55697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_3134]) ).

tcf(c_55699,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(sK2,X0,X1) = sK1 )
      | ~ model_ub(sK2,X0,X1)
      | ~ lesseq(sK5(sK2,X0,X1),sK1) ),
    inference(superposition,[status(thm)],[c_25021,c_72]) ).

tcf(c_55701,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | ~ model_ub(sK2,X0,X1)
      | ~ lesseq(sK5(sK2,X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25021,c_60]) ).

tcf(c_55702,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK5(sK2,X0,X1),sK1) = sK5(sK2,X0,X1) )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_68]) ).

tcf(c_55703,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK1,sK5(sK2,X0,X1)) = sK5(sK2,X0,X1) )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_67]) ).

tcf(c_55755,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25030]) ).

tcf(c_55761,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25030,c_1405]) ).

tcf(c_55762,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25030,c_1496]) ).

tcf(c_55764,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25030,c_1390]) ).

tcf(c_55765,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25030,c_1376]) ).

tcf(c_55767,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25030,c_54750]) ).

tcf(c_55772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25030,c_1405]) ).

tcf(c_55773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25030,c_1496]) ).

tcf(c_55775,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25030,c_1390]) ).

tcf(c_55776,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25030,c_1376]) ).

tcf(c_55931,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25051]) ).

tcf(c_55938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25051,c_2536]) ).

tcf(c_55939,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25051,c_2529]) ).

tcf(c_55942,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25051,c_3134]) ).

tcf(c_55944,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK1 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(X0,sK2),sK1) ),
    inference(superposition,[status(thm)],[c_25051,c_72]) ).

tcf(c_55946,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(X0,sK2),X1) ),
    inference(superposition,[status(thm)],[c_25051,c_60]) ).

tcf(c_55947,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(max(X0,sK2),sK1) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25051,c_68]) ).

tcf(c_55948,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(sK1,max(X0,sK2)) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25051,c_67]) ).

tcf(c_56006,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25052]) ).

tcf(c_56013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25052,c_2536]) ).

tcf(c_56014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25052,c_2529]) ).

tcf(c_56017,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25052,c_3134]) ).

tcf(c_56019,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK1 )
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(max(sK2,X0),sK1) ),
    inference(superposition,[status(thm)],[c_25052,c_72]) ).

tcf(c_56021,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(max(sK2,X0),X1) ),
    inference(superposition,[status(thm)],[c_25052,c_60]) ).

tcf(c_56022,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(max(sK2,X0),sK1) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25052,c_68]) ).

tcf(c_56023,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(sK1,max(sK2,X0)) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25052,c_67]) ).

tcf(c_56173,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25053]) ).

tcf(c_56180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25053,c_2536]) ).

tcf(c_56181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25053,c_2529]) ).

tcf(c_56184,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25053,c_3134]) ).

tcf(c_56186,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK1 )
      | ~ lesseq(max(X0,sK2),sK1) ),
    inference(superposition,[status(thm)],[c_25053,c_72]) ).

tcf(c_56188,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(max(X0,sK2),X1) ),
    inference(superposition,[status(thm)],[c_25053,c_60]) ).

tcf(c_56189,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(max(X0,sK2),sK1) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25053,c_68]) ).

tcf(c_56190,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(sK1,max(X0,sK2)) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25053,c_67]) ).

tcf(c_56248,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25054]) ).

tcf(c_56255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25054,c_2536]) ).

tcf(c_56256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25054,c_2529]) ).

tcf(c_56259,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25054,c_3134]) ).

tcf(c_56261,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK1 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(sK2,X0),sK1) ),
    inference(superposition,[status(thm)],[c_25054,c_72]) ).

tcf(c_56263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(sK2,X0),X1) ),
    inference(superposition,[status(thm)],[c_25054,c_60]) ).

tcf(c_56264,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(max(sK2,X0),sK1) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25054,c_68]) ).

tcf(c_56265,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(sK1,max(sK2,X0)) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25054,c_67]) ).

tcf(c_56340,plain,
    ( lesseq(sK1,sK2)
    | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_25055,c_25411,c_40598]) ).

tcf(c_56354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25467,c_1405]) ).

tcf(c_56355,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25467,c_1496]) ).

tcf(c_56357,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25467,c_1390]) ).

tcf(c_56358,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25467,c_1376]) ).

tcf(c_56382,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_28039]) ).

tcf(c_56383,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_28039]) ).

tcf(c_56384,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(max(X0,X1),sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_28039]) ).

tcf(c_56387,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X1,X2),sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_28039]) ).

tcf(c_56388,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43137,c_28039]) ).

tcf(c_56389,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43134,c_28039]) ).

tcf(c_56396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X3,X3,X0)
      | lesseq(max(X1,X2),sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_28039]) ).

tcf(c_56397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | lesseq(max(X1,X2),sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_28039]) ).

tcf(c_56398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(X3,X3,X0)
      | lesseq(max(X1,X2),sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_28039]) ).

tcf(c_56399,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | lesseq(max(X1,X2),sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_28039]) ).

tcf(c_56400,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_1353,c_28039]) ).

tcf(c_56401,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1412,c_28039]) ).

tcf(c_56402,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25030,c_28039]) ).

tcf(c_56403,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24838,c_28039]) ).

tcf(c_56404,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24696,c_28039]) ).

tcf(c_56405,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25401,c_28039]) ).

tcf(c_56406,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24419,c_28039]) ).

tcf(c_56408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3525,c_28039]) ).

tcf(c_56410,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_28039]) ).

tcf(c_56411,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X0,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3876,c_28039]) ).

tcf(c_56412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3349,c_28039]) ).

tcf(c_56413,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_28039]) ).

tcf(c_56415,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1436,c_28039]) ).

tcf(c_56416,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X0,X0),sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1414,c_28039]) ).

tcf(c_56417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,max(X0,X1))
      | lesseq(max(X2,X3),sK2)
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1440,c_28039]) ).

tcf(c_56420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X2,X0),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1957,c_28039]) ).

tcf(c_56421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X2,X0),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_28039]) ).

tcf(c_56423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X0,X2),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2109,c_28039]) ).

tcf(c_56424,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X0,X2),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_28039]) ).

tcf(c_56426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK1,max(X1,X2))
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3713,c_28039]) ).

tcf(c_56427,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK1,max(X1,X2))
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_2539,c_28039]) ).

tcf(c_56428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK1,max(X1,X2))
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1851,c_28039]) ).

tcf(c_56429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_15524,c_28039]) ).

tcf(c_56430,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_28039]) ).

tcf(c_56431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_28039]) ).

tcf(c_56432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_28039]) ).

tcf(c_56433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_28039]) ).

tcf(c_56434,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_28039]) ).

tcf(c_56435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_28039]) ).

tcf(c_56436,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_28039]) ).

tcf(c_56437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_28039]) ).

tcf(c_56438,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X1,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2868,c_28039]) ).

tcf(c_56439,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1906,c_28039]) ).

tcf(c_56441,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_28039]) ).

tcf(c_56442,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_28039]) ).

tcf(c_56446,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK0,sK0),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42309,c_28039]) ).

tcf(c_56447,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X0,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_28039]) ).

tcf(c_56448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(max(X0,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_28039]) ).

tcf(c_56449,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3525,c_28039]) ).

tcf(c_56450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_15524,c_28039]) ).

tcf(c_56451,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X1,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_28039]) ).

tcf(c_56452,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | lesseq(max(X1,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_28039]) ).

tcf(c_56453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3349,c_28039]) ).

tcf(c_56454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,X3)
      | lesseq(max(X3,X3),sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_28039]) ).

tcf(c_56455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,X3)
      | lesseq(max(X3,X3),sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_28039]) ).

tcf(c_56456,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3536,c_28039]) ).

tcf(c_56457,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(max(X0,X1),X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2933,c_28039]) ).

tcf(c_56458,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK0,sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34822,c_28039]) ).

tcf(c_56459,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK2),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_28039]) ).

tcf(c_56460,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(max(X0,X1),X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4543,c_28039]) ).

tcf(c_56461,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_40750,c_28039]) ).

tcf(c_56463,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK2),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25644,c_28039]) ).

tcf(c_56464,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK0,sK2),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40636,c_28039]) ).

tcf(c_56465,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK0,sK2),sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25437,c_28039]) ).

tcf(c_56466,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26941,c_28039]) ).

tcf(c_56467,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26938,c_28039]) ).

tcf(c_56470,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25626,c_28039]) ).

tcf(c_56472,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_28039]) ).

tcf(c_56473,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK2,sK0),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25562,c_28039]) ).

tcf(c_56474,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK2,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40635,c_28039]) ).

tcf(c_56475,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK2,sK0),sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7475,c_28039]) ).

tcf(c_56476,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26815,c_28039]) ).

tcf(c_56477,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26812,c_28039]) ).

tcf(c_56480,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25544,c_28039]) ).

tcf(c_56482,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_28039]) ).

tcf(c_56483,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_7477,c_28039]) ).

tcf(c_56484,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7483,c_28039]) ).

tcf(c_56485,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47300,c_28039]) ).

tcf(c_56486,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK1,sK0),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25470,c_28039]) ).

tcf(c_56487,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25467,c_28039]) ).

tcf(c_56488,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47302,c_28039]) ).

tcf(c_56492,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(max(X1,X0),X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_14507,c_28039]) ).

tcf(c_56493,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(max(X1,X0),X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_14802,c_28039]) ).

tcf(c_56494,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X0,max(X1,X0)),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_18019,c_28039]) ).

tcf(c_56495,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X1,max(X0,X1)),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_15027,c_28039]) ).

tcf(c_56497,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X0,max(X0,X1)),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_17780,c_28039]) ).

tcf(c_56498,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X1,max(X1,X0)),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_18316,c_28039]) ).

tcf(c_56515,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44794,c_28039]) ).

tcf(c_56516,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44791,c_28039]) ).

tcf(c_56520,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK1,max(sK1,sK0)),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25458,c_28039]) ).

tcf(c_56521,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36457,c_28039]) ).

tcf(c_56522,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36454,c_28039]) ).

tcf(c_56526,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(max(sK1,sK0),sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25454,c_28039]) ).

tcf(c_56527,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK1,sK2),sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40735,c_28039]) ).

tcf(c_56528,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK1,sK2),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40768,c_28039]) ).

tcf(c_56529,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK2,sK1),sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40739,c_28039]) ).

tcf(c_56530,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK2,sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40765,c_28039]) ).

tcf(c_56532,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK2,sK1),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24700,c_28039]) ).

tcf(c_56535,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26363,c_28039]) ).

tcf(c_56536,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26360,c_28039]) ).

tcf(c_56539,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24682,c_28039]) ).

tcf(c_56543,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK1,sK2),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24842,c_28039]) ).

tcf(c_56546,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26733,c_28039]) ).

tcf(c_56547,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26730,c_28039]) ).

tcf(c_56550,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24824,c_28039]) ).

tcf(c_56554,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31072,c_28039]) ).

tcf(c_56559,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK0),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_44569,c_28039]) ).

tcf(c_56568,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38453,c_28039]) ).

tcf(c_56573,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X0,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39611,c_28039]) ).

tcf(c_56574,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,X0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40900,c_28039]) ).

tcf(c_56575,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X0,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41254,c_28039]) ).

tcf(c_56576,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,X0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43747,c_28039]) ).

tcf(c_56581,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ~ lesseq(sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_56550,c_24429]) ).

tcf(c_56589,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_56474,c_25410]) ).

tcf(c_56610,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_56547,c_24429]) ).

tcf(c_56611,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_56546,c_24429]) ).

tcf(c_56612,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_56543,c_24429]) ).

tcf(c_56688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | model_max(X2,X2,X0)
      | model_max(X0,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_56450,c_1375]) ).

tcf(c_56701,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_56484,c_25410]) ).

tcf(c_56733,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(light_normalisation,[status(thm)],[c_56483,c_25410]) ).

tcf(c_56734,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_56482,c_25410]) ).

tcf(c_57054,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_28549,c_73,c_80,c_81,c_83,c_85,c_508,c_519,c_599,c_1639,c_1875,c_2072,c_2247,c_2360,c_2485,c_2891,c_2974,c_3364,c_3625,c_3626,c_4760,c_4761,c_4772,c_4965,c_5341,c_5344,c_6122,c_6233,c_6543,c_6572,c_6811,c_7938,c_8124,c_8465,c_8488,c_8937,c_9378,c_9399,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27176,c_27178,c_27412,c_28549,c_30781,c_31001,c_34041,c_37290]) ).

tcf(c_57066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_28613]) ).

tcf(c_57067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_28613]) ).

tcf(c_57068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_28613]) ).

tcf(c_57082,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_28613]) ).

tcf(c_57083,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_28613]) ).

tcf(c_57084,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_28613]) ).

tcf(c_57085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_28613]) ).

tcf(c_57088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_28613]) ).

tcf(c_57089,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28613]) ).

tcf(c_57090,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_28613]) ).

tcf(c_57091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_28613]) ).

tcf(c_57092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X1,X3)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_28613]) ).

tcf(c_57093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_28613]) ).

tcf(c_57095,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28613]) ).

tcf(c_57098,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_28613]) ).

tcf(c_57099,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_28613]) ).

tcf(c_57100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(max(X0,X1),X3)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_28613]) ).

tcf(c_57101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_28613]) ).

tcf(c_57102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_28613]) ).

tcf(c_57103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28613]) ).

tcf(c_57106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,sK2)
      | lesseq(sK5(X0,X1,X2),X4)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_28613]) ).

tcf(c_57107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_28613]) ).

tcf(c_57108,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_28613]) ).

tcf(c_57109,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_28613]) ).

tcf(c_57110,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_28613]) ).

tcf(c_57113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_28613]) ).

tcf(c_57114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1497,c_28613]) ).

tcf(c_57116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_28613]) ).

tcf(c_57119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28613]) ).

tcf(c_57121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_28613]) ).

tcf(c_57122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_28613]) ).

tcf(c_57123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_28613]) ).

tcf(c_57124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_28613]) ).

tcf(c_57125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_28613]) ).

tcf(c_57126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_28613]) ).

tcf(c_57134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X0,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_28613]) ).

tcf(c_57135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X1,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_28613]) ).

tcf(c_57138,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_28613]) ).

tcf(c_57152,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_28613]) ).

tcf(c_57162,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_28613]) ).

tcf(c_57163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | lesseq(max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_28613]) ).

tcf(c_57164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_28613]) ).

tcf(c_57165,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_28613]) ).

tcf(c_57166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_28613]) ).

tcf(c_57167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_28613]) ).

tcf(c_57170,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_28613]) ).

tcf(c_57172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_28613]) ).

tcf(c_57173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_28613]) ).

tcf(c_57174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_28613]) ).

tcf(c_57175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_28613]) ).

tcf(c_57648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_28627]) ).

tcf(c_57649,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_28627]) ).

tcf(c_57650,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_28627]) ).

tcf(c_57670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_28627]) ).

tcf(c_57671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28627]) ).

tcf(c_57673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,X1)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_28627]) ).

tcf(c_57674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_28627]) ).

tcf(c_57677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28627]) ).

tcf(c_57680,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_28627]) ).

tcf(c_57681,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28627]) ).

tcf(c_57682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_28627]) ).

tcf(c_57683,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_28627]) ).

tcf(c_57685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_28627]) ).

tcf(c_57686,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_28627]) ).

tcf(c_57689,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X4,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_28627]) ).

tcf(c_57690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_28627]) ).

tcf(c_57692,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_28627]) ).

tcf(c_57693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_28627]) ).

tcf(c_57695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28627]) ).

tcf(c_57697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_28627]) ).

tcf(c_57698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_28627]) ).

tcf(c_57700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_28627]) ).

tcf(c_57702,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_28627]) ).

tcf(c_57709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X0,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_28627]) ).

tcf(c_57710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_28627]) ).

tcf(c_57711,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_28627]) ).

tcf(c_57718,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_28627]) ).

tcf(c_57719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_28627]) ).

tcf(c_57720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_28627]) ).

tcf(c_57721,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_28627]) ).

tcf(c_57722,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24839,c_28627]) ).

tcf(c_57723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24697,c_28627]) ).

tcf(c_57724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_28627]) ).

tcf(c_57727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_28627]) ).

tcf(c_57728,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_28627]) ).

tcf(c_57729,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_28627]) ).

tcf(c_57730,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_28627]) ).

tcf(c_57731,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_28627]) ).

tcf(c_58042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK0,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_25537]) ).

tcf(c_58044,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_1529,c_25537]) ).

tcf(c_58064,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_25537]) ).

tcf(c_58065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_25537]) ).

tcf(c_58067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_25537]) ).

tcf(c_58068,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_25537]) ).

tcf(c_58070,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_25537]) ).

tcf(c_58071,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_25537]) ).

tcf(c_58074,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_25537]) ).

tcf(c_58076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_25537]) ).

tcf(c_58077,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_25537]) ).

tcf(c_58079,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_25537]) ).

tcf(c_58083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_25537]) ).

tcf(c_58086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_25537]) ).

tcf(c_58087,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_25537]) ).

tcf(c_58091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_25537]) ).

tcf(c_58092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_25537]) ).

tcf(c_58094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_25537]) ).

tcf(c_58096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_25537]) ).

tcf(c_58105,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_25537]) ).

tcf(c_58106,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_25537]) ).

tcf(c_58112,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_25537]) ).

tcf(c_58113,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_25537]) ).

tcf(c_58114,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25559,c_25537]) ).

tcf(c_58115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_25537]) ).

tcf(c_58118,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_25537]) ).

tcf(c_58121,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_25537]) ).

tcf(c_58122,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_25537]) ).

tcf(c_58123,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_25537]) ).

tcf(c_58124,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_25537]) ).

tcf(c_58125,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_25537]) ).

tcf(c_58443,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25557]) ).

tcf(c_58444,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25557]) ).

tcf(c_58445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25557,c_55]) ).

tcf(c_58446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_28613]) ).

tcf(c_58447,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_27640]) ).

tcf(c_58448,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_27550]) ).

tcf(c_58449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_27007]) ).

tcf(c_58450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_26975]) ).

tcf(c_58451,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_26068]) ).

tcf(c_58452,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_24518]) ).

tcf(c_58454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(sK2,sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25557,c_2529]) ).

tcf(c_58456,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK2,sK0,X1)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25557,c_1476]) ).

tcf(c_58457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25557,c_3134]) ).

tcf(c_58458,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25557,c_1461]) ).

tcf(c_58459,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25557,c_72]) ).

tcf(c_58461,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25557,c_60]) ).

tcf(c_58462,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25557,c_68]) ).

tcf(c_58463,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25557,c_67]) ).

tcf(c_58465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25557,c_1437]) ).

tcf(c_58466,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25557,c_62]) ).

tcf(c_58467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25557,c_1762]) ).

tcf(c_58468,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25557,c_1733]) ).

tcf(c_58489,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_42195]) ).

tcf(c_58490,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25557,c_6991]) ).

tcf(c_58493,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25557,c_2108]) ).

tcf(c_58495,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25557,c_1585]) ).

tcf(c_58497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25557,c_1405]) ).

tcf(c_58498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25557,c_1496]) ).

tcf(c_58500,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25557,c_1390]) ).

tcf(c_58501,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25557,c_1376]) ).

tcf(c_58511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25557,c_1405]) ).

tcf(c_58512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25557,c_1496]) ).

tcf(c_58514,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_1390]) ).

tcf(c_58515,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_1376]) ).

tcf(c_58565,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_58495,c_25410]) ).

tcf(c_58775,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK0,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25558]) ).

tcf(c_58778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25558,c_2108]) ).

tcf(c_58780,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25558,c_1585]) ).

tcf(c_58782,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25558,c_1405]) ).

tcf(c_58783,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25558,c_1496]) ).

tcf(c_58785,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25558,c_1390]) ).

tcf(c_58786,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25558,c_1376]) ).

tcf(c_58790,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25558,c_28039]) ).

tcf(c_58796,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25558,c_1405]) ).

tcf(c_58797,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25558,c_1496]) ).

tcf(c_58799,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25558,c_1390]) ).

tcf(c_58800,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25558,c_1376]) ).

tcf(c_58822,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_58780,c_25410]) ).

tcf(c_58834,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK2,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_25619]) ).

tcf(c_58836,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_1529,c_25619]) ).

tcf(c_58857,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_25619]) ).

tcf(c_58858,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_25619]) ).

tcf(c_58860,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_25619]) ).

tcf(c_58861,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_25619]) ).

tcf(c_58863,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_25619]) ).

tcf(c_58864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_25619]) ).

tcf(c_58867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_25619]) ).

tcf(c_58869,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_25619]) ).

tcf(c_58870,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_25619]) ).

tcf(c_58872,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_25619]) ).

tcf(c_58873,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_25619]) ).

tcf(c_58876,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_25619]) ).

tcf(c_58879,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_25619]) ).

tcf(c_58880,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_25619]) ).

tcf(c_58884,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_25619]) ).

tcf(c_58885,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_25619]) ).

tcf(c_58887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_25619]) ).

tcf(c_58889,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_25619]) ).

tcf(c_58898,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_25619]) ).

tcf(c_58899,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_25619]) ).

tcf(c_58905,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_25619]) ).

tcf(c_58906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_25641,c_25619]) ).

tcf(c_58908,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_25619]) ).

tcf(c_58911,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_25619]) ).

tcf(c_58914,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_25619]) ).

tcf(c_58915,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_25619]) ).

tcf(c_58916,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_25619]) ).

tcf(c_58917,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_25619]) ).

tcf(c_58918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_25619]) ).

tcf(c_59469,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25639]) ).

tcf(c_59470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25639,c_55]) ).

tcf(c_59471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_28613]) ).

tcf(c_59472,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_27640]) ).

tcf(c_59473,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_27550]) ).

tcf(c_59474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_27007]) ).

tcf(c_59475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_26975]) ).

tcf(c_59476,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_26068]) ).

tcf(c_59477,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_24518]) ).

tcf(c_59479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(sK0,sK2,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25639,c_2529]) ).

tcf(c_59481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK0,sK2,X1)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25639,c_1476]) ).

tcf(c_59482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25639,c_3134]) ).

tcf(c_59483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25639,c_1461]) ).

tcf(c_59484,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25639,c_72]) ).

tcf(c_59486,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25639,c_60]) ).

tcf(c_59487,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25639,c_68]) ).

tcf(c_59488,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25639,c_67]) ).

tcf(c_59490,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25639,c_1437]) ).

tcf(c_59491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25639,c_62]) ).

tcf(c_59492,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25639,c_1762]) ).

tcf(c_59493,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25639,c_1733]) ).

tcf(c_59515,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_42195]) ).

tcf(c_59516,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25639,c_6991]) ).

tcf(c_59523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(sK0,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25639,c_1405]) ).

tcf(c_59524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_25639,c_1496]) ).

tcf(c_59526,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25639,c_1390]) ).

tcf(c_59527,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25639,c_1376]) ).

tcf(c_59536,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25639,c_1405]) ).

tcf(c_59537,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25639,c_1496]) ).

tcf(c_59539,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_1390]) ).

tcf(c_59540,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_1376]) ).

tcf(c_59931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK0,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25640,c_1405]) ).

tcf(c_59932,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_25640,c_1496]) ).

tcf(c_59934,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25640,c_1390]) ).

tcf(c_59935,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25640,c_1376]) ).

tcf(c_59938,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25640,c_28039]) ).

tcf(c_59944,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25640,c_1405]) ).

tcf(c_59945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25640,c_1496]) ).

tcf(c_59947,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25640,c_1390]) ).

tcf(c_59948,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25640,c_1376]) ).

tcf(c_59982,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(X0,sK1,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_40604,c_25700]) ).

tcf(c_59990,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_2536]) ).

tcf(c_59991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK0,sK0,X3)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_2529]) ).

tcf(c_59993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(X0,sK2,X1))
      | ( max(X2,sK0) = X2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_1476]) ).

tcf(c_59994,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_3134]) ).

tcf(c_59995,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(X0,sK2,X1))
      | ( max(sK0,X2) = X2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_1461]) ).

tcf(c_59996,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(X0,sK2,X1) = sK0 )
      | ~ model_ub(X0,sK2,X1)
      | ~ lesseq(sK5(X0,sK2,X1),sK0) ),
    inference(superposition,[status(thm)],[c_25700,c_72]) ).

tcf(c_59998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ~ model_ub(X0,sK2,X1)
      | ~ lesseq(sK5(X0,sK2,X1),X2) ),
    inference(superposition,[status(thm)],[c_25700,c_60]) ).

tcf(c_59999,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK5(X0,sK2,X1),sK0) = sK5(X0,sK2,X1) )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_68]) ).

tcf(c_60000,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK0,sK5(X0,sK2,X1)) = sK5(X0,sK2,X1) )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_67]) ).

tcf(c_60001,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(X0,sK2,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_42195]) ).

tcf(c_60002,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,sK2,X1))
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_6991]) ).

tcf(c_60242,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(sK1,X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_40604,c_25701]) ).

tcf(c_60250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X3,X3,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_2536]) ).

tcf(c_60251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK0,sK0,X3)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_2529]) ).

tcf(c_60253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(sK2,X0,X1))
      | ( max(X2,sK0) = X2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_1476]) ).

tcf(c_60254,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_3134]) ).

tcf(c_60255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(sK2,X0,X1))
      | ( max(sK0,X2) = X2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_1461]) ).

tcf(c_60256,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(sK2,X0,X1) = sK0 )
      | ~ model_ub(sK2,X0,X1)
      | ~ lesseq(sK5(sK2,X0,X1),sK0) ),
    inference(superposition,[status(thm)],[c_25701,c_72]) ).

tcf(c_60258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ~ model_ub(sK2,X0,X1)
      | ~ lesseq(sK5(sK2,X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25701,c_60]) ).

tcf(c_60259,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK5(sK2,X0,X1),sK0) = sK5(sK2,X0,X1) )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_68]) ).

tcf(c_60260,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK0,sK5(sK2,X0,X1)) = sK5(sK2,X0,X1) )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_67]) ).

tcf(c_60261,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(sK2,X0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_42195]) ).

tcf(c_60262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(sK2,X0,X1))
      | ( max(sK1,sK0) = sK1 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_6991]) ).

tcf(c_60346,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25710,c_1405]) ).

tcf(c_60347,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25710,c_1496]) ).

tcf(c_60349,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25710,c_1390]) ).

tcf(c_60350,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25710,c_1376]) ).

tcf(c_60352,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25710,c_28039]) ).

tcf(c_60353,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25710,c_54750]) ).

tcf(c_60358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25710,c_1405]) ).

tcf(c_60359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25710,c_1496]) ).

tcf(c_60361,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25710,c_1390]) ).

tcf(c_60362,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25710,c_1376]) ).

tcf(c_60441,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25731]) ).

tcf(c_60449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_2536]) ).

tcf(c_60450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_2529]) ).

tcf(c_60452,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(X0,sK2))
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_1476]) ).

tcf(c_60453,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_3134]) ).

tcf(c_60454,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(X0,sK2))
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_1461]) ).

tcf(c_60455,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = sK0 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(X0,sK2),sK0) ),
    inference(superposition,[status(thm)],[c_25731,c_72]) ).

tcf(c_60457,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(X0,sK2),X1) ),
    inference(superposition,[status(thm)],[c_25731,c_60]) ).

tcf(c_60458,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(max(X0,sK2),sK0) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25731,c_68]) ).

tcf(c_60459,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(sK0,max(X0,sK2)) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25731,c_67]) ).

tcf(c_60460,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK2))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_42195]) ).

tcf(c_60461,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK2))
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_6991]) ).

tcf(c_60653,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25732]) ).

tcf(c_60661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_2536]) ).

tcf(c_60662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_2529]) ).

tcf(c_60664,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK2,X1))
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_1476]) ).

tcf(c_60665,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_3134]) ).

tcf(c_60666,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK2,X1))
      | ( max(sK2,X1) = X1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_1461]) ).

tcf(c_60667,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK0 )
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(max(sK2,X0),sK0) ),
    inference(superposition,[status(thm)],[c_25732,c_72]) ).

tcf(c_60669,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(max(sK2,X0),X1) ),
    inference(superposition,[status(thm)],[c_25732,c_60]) ).

tcf(c_60670,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(max(sK2,X0),sK0) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25732,c_68]) ).

tcf(c_60671,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(sK0,max(sK2,X0)) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25732,c_67]) ).

tcf(c_60672,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK2,X0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_42195]) ).

tcf(c_60673,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK2,X0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_6991]) ).

tcf(c_60725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X2,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_28649]) ).

tcf(c_60726,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X2,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_28649]) ).

tcf(c_60727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X2,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_28649]) ).

tcf(c_60741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_28649]) ).

tcf(c_60742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_28649]) ).

tcf(c_60743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_28649]) ).

tcf(c_60744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_28649]) ).

tcf(c_60749,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X0,sK2)
      | lesseq(X3,X2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_28649]) ).

tcf(c_60750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X0,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28649]) ).

tcf(c_60751,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_28649]) ).

tcf(c_60752,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_28649]) ).

tcf(c_60753,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_28649]) ).

tcf(c_60754,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X1,sK2)
      | lesseq(X4,X2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_28649]) ).

tcf(c_60756,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28649]) ).

tcf(c_60759,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_28649]) ).

tcf(c_60760,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_28649]) ).

tcf(c_60761,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(max(X0,X1),sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_28649]) ).

tcf(c_60763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_28649]) ).

tcf(c_60767,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X4,X3)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_28649]) ).

tcf(c_60768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X4,X3)
      | lesseq(X3,X2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_28649]) ).

tcf(c_60772,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_28649]) ).

tcf(c_60774,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X4,sK2)
      | model_max(X3,X3,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_28649]) ).

tcf(c_60777,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_28649]) ).

tcf(c_60782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_28649]) ).

tcf(c_60785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | lesseq(X4,X0)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_28649]) ).

tcf(c_60795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,sK2)
      | lesseq(X0,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_28649]) ).

tcf(c_60796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,sK2)
      | lesseq(X1,X4)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_28649]) ).

tcf(c_60804,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_28649]) ).

tcf(c_60805,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_28649]) ).

tcf(c_60810,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_28649]) ).

tcf(c_60811,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_28649]) ).

tcf(c_60812,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_28649]) ).

tcf(c_60823,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_28649]) ).

tcf(c_60824,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_28649]) ).

tcf(c_60833,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_28649]) ).

tcf(c_60834,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_28649]) ).

tcf(c_60835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_28649]) ).

tcf(c_60836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_28649]) ).

tcf(c_61206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_28846]) ).

tcf(c_61207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28846]) ).

tcf(c_61208,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_28846]) ).

tcf(c_61230,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_28846]) ).

tcf(c_61231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28846]) ).

tcf(c_61233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28846]) ).

tcf(c_61234,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_28846]) ).

tcf(c_61237,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28846]) ).

tcf(c_61240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X2,sK0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_28846]) ).

tcf(c_61241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(X2,sK0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28846]) ).

tcf(c_61245,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_28846]) ).

tcf(c_61246,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_28846]) ).

tcf(c_61247,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40638,c_28846]) ).

tcf(c_61248,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6979,c_28846]) ).

tcf(c_61249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_28846]) ).

tcf(c_61250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_28846]) ).

tcf(c_61252,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X2,sK0) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_28846]) ).

tcf(c_61253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_28846]) ).

tcf(c_61255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | ( max(X2,sK0) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28846]) ).

tcf(c_61257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X3,X3,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_28846]) ).

tcf(c_61258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_28846]) ).

tcf(c_61259,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28846]) ).

tcf(c_61260,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_28846]) ).

tcf(c_61261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_28846]) ).

tcf(c_61262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_28846]) ).

tcf(c_61269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,sK0) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_28846]) ).

tcf(c_61270,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(X3,sK0) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_28846]) ).

tcf(c_61271,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_28846]) ).

tcf(c_61278,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36587,c_28846]) ).

tcf(c_61279,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_28846]) ).

tcf(c_61280,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_28846]) ).

tcf(c_61281,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_28846]) ).

tcf(c_61282,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_28846]) ).

tcf(c_61283,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_28846]) ).

tcf(c_61284,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_28846]) ).

tcf(c_61289,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X1,sK2))
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_28846]) ).

tcf(c_61290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(sK2,X0))
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_28846]) ).

tcf(c_61291,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_28846]) ).

tcf(c_61622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_29276]) ).

tcf(c_61623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_29276]) ).

tcf(c_61624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(max(X0,X1),sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_29276]) ).

tcf(c_61627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X1,X2),sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_29276]) ).

tcf(c_61628,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43137,c_29276]) ).

tcf(c_61629,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43134,c_29276]) ).

tcf(c_61631,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34803,c_29276]) ).

tcf(c_61636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X3,X3,X0)
      | lesseq(max(X1,X2),sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_29276]) ).

tcf(c_61637,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | lesseq(max(X1,X2),sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_29276]) ).

tcf(c_61638,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X3,X3,X0)
      | lesseq(max(X1,X2),sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_29276]) ).

tcf(c_61639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | lesseq(max(X1,X2),sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_29276]) ).

tcf(c_61640,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_1353,c_29276]) ).

tcf(c_61641,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1412,c_29276]) ).

tcf(c_61642,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25710,c_29276]) ).

tcf(c_61643,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25640,c_29276]) ).

tcf(c_61644,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25558,c_29276]) ).

tcf(c_61645,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25030,c_29276]) ).

tcf(c_61646,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24838,c_29276]) ).

tcf(c_61647,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24696,c_29276]) ).

tcf(c_61648,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25401,c_29276]) ).

tcf(c_61649,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24419,c_29276]) ).

tcf(c_61651,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3525,c_29276]) ).

tcf(c_61653,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_29276]) ).

tcf(c_61654,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X0,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3876,c_29276]) ).

tcf(c_61655,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3349,c_29276]) ).

tcf(c_61656,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_29276]) ).

tcf(c_61658,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1436,c_29276]) ).

tcf(c_61659,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X0,X0),sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1414,c_29276]) ).

tcf(c_61660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,max(X0,X1))
      | lesseq(max(X2,X3),sK2)
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1440,c_29276]) ).

tcf(c_61662,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1579,c_29276]) ).

tcf(c_61663,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X2,X0),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1957,c_29276]) ).

tcf(c_61664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X2,X0),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1581,c_29276]) ).

tcf(c_61665,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1584,c_29276]) ).

tcf(c_61666,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X0,X2),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2109,c_29276]) ).

tcf(c_61667,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X0,X2),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1586,c_29276]) ).

tcf(c_61669,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK0,max(X1,X2))
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3713,c_29276]) ).

tcf(c_61670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK0,max(X1,X2))
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_2539,c_29276]) ).

tcf(c_61671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1851,c_29276]) ).

tcf(c_61672,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_15524,c_29276]) ).

tcf(c_61673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_29276]) ).

tcf(c_61674,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_29276]) ).

tcf(c_61675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_29276]) ).

tcf(c_61676,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_29276]) ).

tcf(c_61677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_29276]) ).

tcf(c_61678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_29276]) ).

tcf(c_61679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X1,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_29276]) ).

tcf(c_61680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,X2)
      | lesseq(max(X2,X2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_29276]) ).

tcf(c_61681,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X1,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2868,c_29276]) ).

tcf(c_61682,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_1906,c_29276]) ).

tcf(c_61683,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1955,c_29276]) ).

tcf(c_61684,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_29276]) ).

tcf(c_61685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_29276]) ).

tcf(c_61688,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2107,c_29276]) ).

tcf(c_61689,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK0,sK0),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42309,c_29276]) ).

tcf(c_61690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X0,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_29276]) ).

tcf(c_61691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(max(X0,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_29276]) ).

tcf(c_61692,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3525,c_29276]) ).

tcf(c_61693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_15524,c_29276]) ).

tcf(c_61694,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X1,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_29276]) ).

tcf(c_61695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | lesseq(max(X1,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_29276]) ).

tcf(c_61696,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3349,c_29276]) ).

tcf(c_61697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,X3)
      | lesseq(max(X3,X3),sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_29276]) ).

tcf(c_61698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,X3)
      | lesseq(max(X3,X3),sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_29276]) ).

tcf(c_61699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_3536,c_29276]) ).

tcf(c_61700,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(max(X0,X1),X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2933,c_29276]) ).

tcf(c_61701,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK0,sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34822,c_29276]) ).

tcf(c_61702,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK2),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_29276]) ).

tcf(c_61703,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(max(X0,X1),X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4543,c_29276]) ).

tcf(c_61704,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_40750,c_29276]) ).

tcf(c_61707,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK2),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25644,c_29276]) ).

tcf(c_61708,plain,
    ( lesseq(sK0,sK0)
    | lesseq(max(sK0,sK2),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40636,c_29276]) ).

tcf(c_61709,plain,
    ( lesseq(sK0,sK0)
    | lesseq(max(sK0,sK2),sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25437,c_29276]) ).

tcf(c_61711,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26941,c_29276]) ).

tcf(c_61712,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26938,c_29276]) ).

tcf(c_61715,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25626,c_29276]) ).

tcf(c_61717,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_29276]) ).

tcf(c_61719,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK2,sK0),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25562,c_29276]) ).

tcf(c_61720,plain,
    ( lesseq(sK0,sK0)
    | lesseq(max(sK2,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40635,c_29276]) ).

tcf(c_61721,plain,
    ( lesseq(sK0,sK0)
    | lesseq(max(sK2,sK0),sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7475,c_29276]) ).

tcf(c_61723,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26815,c_29276]) ).

tcf(c_61724,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26812,c_29276]) ).

tcf(c_61727,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25544,c_29276]) ).

tcf(c_61729,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_29276]) ).

tcf(c_61731,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7483,c_29276]) ).

tcf(c_61732,plain,
    ( lesseq(sK0,sK0)
    | lesseq(max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47300,c_29276]) ).

tcf(c_61733,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK1,sK0),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25470,c_29276]) ).

tcf(c_61734,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25467,c_29276]) ).

tcf(c_61736,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25460,c_29276]) ).

tcf(c_61739,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(max(X1,X0),X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_14507,c_29276]) ).

tcf(c_61740,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(max(X1,X0),X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_14802,c_29276]) ).

tcf(c_61741,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X0,max(X1,X0)),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_18019,c_29276]) ).

tcf(c_61742,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X1,max(X0,X1)),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_15027,c_29276]) ).

tcf(c_61744,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X0,max(X0,X1)),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_17780,c_29276]) ).

tcf(c_61745,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X1,max(X1,X0)),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_18316,c_29276]) ).

tcf(c_61764,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44794,c_29276]) ).

tcf(c_61765,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44791,c_29276]) ).

tcf(c_61769,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK1,max(sK1,sK0)),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25458,c_29276]) ).

tcf(c_61770,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36457,c_29276]) ).

tcf(c_61771,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36454,c_29276]) ).

tcf(c_61775,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(max(sK1,sK0),sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25454,c_29276]) ).

tcf(c_61776,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK1,sK2),sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40735,c_29276]) ).

tcf(c_61777,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK1,sK2),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40768,c_29276]) ).

tcf(c_61778,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK2,sK1),sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40739,c_29276]) ).

tcf(c_61779,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK2,sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40765,c_29276]) ).

tcf(c_61781,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK2,sK1),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24700,c_29276]) ).

tcf(c_61784,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26363,c_29276]) ).

tcf(c_61785,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26360,c_29276]) ).

tcf(c_61788,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24682,c_29276]) ).

tcf(c_61793,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK1,sK2),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24842,c_29276]) ).

tcf(c_61796,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26733,c_29276]) ).

tcf(c_61797,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_26730,c_29276]) ).

tcf(c_61800,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24824,c_29276]) ).

tcf(c_61804,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31072,c_29276]) ).

tcf(c_61809,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(max(sK0,sK0),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_44569,c_29276]) ).

tcf(c_61818,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38453,c_29276]) ).

tcf(c_61823,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X0,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39611,c_29276]) ).

tcf(c_61824,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,X0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40900,c_29276]) ).

tcf(c_61825,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(X0,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41254,c_29276]) ).

tcf(c_61826,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK0,X0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43747,c_29276]) ).

tcf(c_61831,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ~ lesseq(sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_61800,c_24429]) ).

tcf(c_61833,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK1)
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_61779,c_24428]) ).

tcf(c_61863,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_61797,c_24429]) ).

tcf(c_61864,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_61796,c_24429]) ).

tcf(c_61865,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_61793,c_24429]) ).

tcf(c_61962,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | model_max(X2,X2,X0)
      | model_max(X0,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_61693,c_1375]) ).

tcf(c_61975,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(light_normalisation,[status(thm)],[c_61631,c_40598]) ).

tcf(c_62008,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_61729,c_25410]) ).

tcf(c_62009,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_61717,c_1375]) ).

tcf(c_62576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30011]) ).

tcf(c_62577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30011]) ).

tcf(c_62578,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30011]) ).

tcf(c_62600,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_30011]) ).

tcf(c_62601,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30011]) ).

tcf(c_62603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30011]) ).

tcf(c_62604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_30011]) ).

tcf(c_62607,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30011]) ).

tcf(c_62610,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(sK0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30011]) ).

tcf(c_62611,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(sK0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30011]) ).

tcf(c_62615,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_30011]) ).

tcf(c_62616,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_30011]) ).

tcf(c_62617,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40638,c_30011]) ).

tcf(c_62618,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6979,c_30011]) ).

tcf(c_62619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2532,c_30011]) ).

tcf(c_62620,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30011]) ).

tcf(c_62622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30011]) ).

tcf(c_62623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_30011]) ).

tcf(c_62625,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | ( max(sK0,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30011]) ).

tcf(c_62627,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X3,X3,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30011]) ).

tcf(c_62628,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30011]) ).

tcf(c_62629,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30011]) ).

tcf(c_62630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | model_max(X1,X1,max(X2,X3))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_30011]) ).

tcf(c_62631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30011]) ).

tcf(c_62632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30011]) ).

tcf(c_62639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(sK0,X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_30011]) ).

tcf(c_62640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ( max(sK0,X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_30011]) ).

tcf(c_62641,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_30011]) ).

tcf(c_62648,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36587,c_30011]) ).

tcf(c_62649,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25641,c_30011]) ).

tcf(c_62650,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25559,c_30011]) ).

tcf(c_62651,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25402,c_30011]) ).

tcf(c_62652,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24839,c_30011]) ).

tcf(c_62653,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24697,c_30011]) ).

tcf(c_62654,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24420,c_30011]) ).

tcf(c_62659,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X1,sK2))
      | ( max(sK2,X1) = X1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_30011]) ).

tcf(c_62660,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,max(sK2,X0))
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_30011]) ).

tcf(c_62661,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_30011]) ).

tcf(c_63073,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25733]) ).

tcf(c_63082,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25733,c_2536]) ).

tcf(c_63083,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25733,c_2529]) ).

tcf(c_63086,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25733,c_3134]) ).

tcf(c_63088,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK0 )
      | ~ lesseq(max(X0,sK2),sK0) ),
    inference(superposition,[status(thm)],[c_25733,c_72]) ).

tcf(c_63090,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(max(X0,sK2),X1) ),
    inference(superposition,[status(thm)],[c_25733,c_60]) ).

tcf(c_63091,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(max(X0,sK2),sK0) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25733,c_68]) ).

tcf(c_63092,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(sK0,max(X0,sK2)) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_25733,c_67]) ).

tcf(c_63093,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,sK2))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25733,c_42195]) ).

tcf(c_63094,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK2))
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25733,c_6991]) ).

tcf(c_63156,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25734]) ).

tcf(c_63165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25734,c_2536]) ).

tcf(c_63166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25734,c_2529]) ).

tcf(c_63169,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25734,c_3134]) ).

tcf(c_63171,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = sK0 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(sK2,X0),sK0) ),
    inference(superposition,[status(thm)],[c_25734,c_72]) ).

tcf(c_63173,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(max(sK2,X0),X1) ),
    inference(superposition,[status(thm)],[c_25734,c_60]) ).

tcf(c_63174,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(max(sK2,X0),sK0) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25734,c_68]) ).

tcf(c_63175,plain,
    ! [X0: $i] :
      ( ( max(X0,sK2) = X0 )
      | ( max(sK0,max(sK2,X0)) = max(sK2,X0) ) ),
    inference(superposition,[status(thm)],[c_25734,c_67]) ).

tcf(c_63176,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(sK2,X0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25734,c_42195]) ).

tcf(c_63177,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK2,X0))
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25734,c_6991]) ).

tcf(c_63283,plain,
    max(sK0,max(sK0,sK0)) = sK0,
    inference(global_subsumption_just,[status(thm)],[c_15215,c_1395,c_1419]) ).

tcf(c_63291,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30167]) ).

tcf(c_63292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30167]) ).

tcf(c_63293,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30167]) ).

tcf(c_63315,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2537,c_30167]) ).

tcf(c_63316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1491,c_30167]) ).

tcf(c_63318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30167]) ).

tcf(c_63319,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2538,c_30167]) ).

tcf(c_63322,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1493,c_30167]) ).

tcf(c_63328,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30167]) ).

tcf(c_63329,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30167]) ).

tcf(c_63330,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(X0,max(sK1,sK0),X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,max(sK1,sK0),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_30167]) ).

tcf(c_63331,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(max(sK1,sK0),X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(max(sK1,sK0),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_30167]) ).

tcf(c_63332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK1,max(X1,X2))
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_30167]) ).

tcf(c_63333,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK1,sK0))
      | lesseq(sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30167]) ).

tcf(c_63335,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30167]) ).

tcf(c_63338,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30167]) ).

tcf(c_63340,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30167]) ).

tcf(c_63341,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30167]) ).

tcf(c_63342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30167]) ).

tcf(c_63343,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,max(sK1,sK0))
      | model_max(X0,X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_30167]) ).

tcf(c_63344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30167]) ).

tcf(c_63345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30167]) ).

tcf(c_63352,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_30167]) ).

tcf(c_63353,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK1,sK0))
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_30167]) ).

tcf(c_63354,plain,
    ( lesseq(sK1,sK1)
    | lesseq(sK2,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40787,c_30167]) ).

tcf(c_63355,plain,
    ( lesseq(sK1,sK1)
    | lesseq(sK0,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_30167]) ).

tcf(c_63370,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_30167]) ).

tcf(c_63371,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,max(sK1,sK0)))
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_30167]) ).

tcf(c_63372,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(max(sK1,sK0),X0))
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_30167]) ).

tcf(c_63373,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,max(sK1,sK0)))
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_30167]) ).

tcf(c_63374,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(max(sK1,sK0),X0))
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_30167]) ).

tcf(c_63380,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_30167]) ).

tcf(c_63654,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30230]) ).

tcf(c_63655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30230]) ).

tcf(c_63656,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30230]) ).

tcf(c_63668,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_30230]) ).

tcf(c_63670,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_30230]) ).

tcf(c_63671,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_30230]) ).

tcf(c_63672,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_30230]) ).

tcf(c_63673,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_30230]) ).

tcf(c_63674,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25694,c_30230]) ).

tcf(c_63675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25014,c_30230]) ).

tcf(c_63676,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1373,c_30230]) ).

tcf(c_63678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_30230]) ).

tcf(c_63679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30230]) ).

tcf(c_63680,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30230]) ).

tcf(c_63682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_30230]) ).

tcf(c_63685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30230]) ).

tcf(c_63688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_30230]) ).

tcf(c_63689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_30230]) ).

tcf(c_63690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ( max(sK2,max(X0,X1)) = sK2 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_30230]) ).

tcf(c_63691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_30230]) ).

tcf(c_63692,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30230]) ).

tcf(c_63693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30230]) ).

tcf(c_63694,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK5(X0,X1,X2))
      | ( max(sK2,X1) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_30230]) ).

tcf(c_63695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK5(X0,X1,X2))
      | ( max(sK2,X0) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_30230]) ).

tcf(c_63696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_30230]) ).

tcf(c_63697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_30230]) ).

tcf(c_63699,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_30230]) ).

tcf(c_63700,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_30230]) ).

tcf(c_63701,plain,
    ( lesseq(sK0,sK0)
    | ( sK1 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_30230]) ).

tcf(c_63702,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_30230]) ).

tcf(c_63703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_30230]) ).

tcf(c_63704,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30230]) ).

tcf(c_63705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1351,c_30230]) ).

tcf(c_63706,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30230]) ).

tcf(c_63707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_30230]) ).

tcf(c_63709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30230]) ).

tcf(c_63711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30230]) ).

tcf(c_63712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30230]) ).

tcf(c_63713,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30230]) ).

tcf(c_63714,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X3,X0)
      | model_max(X1,X1,max(X2,X3))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_30230]) ).

tcf(c_63715,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30230]) ).

tcf(c_63716,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X3,X0)
      | lesseq(X1,max(X2,X3))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30230]) ).

tcf(c_63724,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_30230]) ).

tcf(c_63725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_30230]) ).

tcf(c_63726,plain,
    ( lesseq(sK0,sK1)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_30230]) ).

tcf(c_63752,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | ( max(X1,X0) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_30230]) ).

tcf(c_63753,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(X1,X0) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_30230]) ).

tcf(c_63762,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_30230]) ).

tcf(c_63763,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_30230]) ).

tcf(c_63764,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X1,X0))
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_30230]) ).

tcf(c_63765,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X1,X0))
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_30230]) ).

tcf(c_64418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30311]) ).

tcf(c_64419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30311]) ).

tcf(c_64420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30311]) ).

tcf(c_64432,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_30311]) ).

tcf(c_64434,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_30311]) ).

tcf(c_64435,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_30311]) ).

tcf(c_64436,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_30311]) ).

tcf(c_64437,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_30311]) ).

tcf(c_64438,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25694,c_30311]) ).

tcf(c_64439,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25014,c_30311]) ).

tcf(c_64440,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1373,c_30311]) ).

tcf(c_64442,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_30311]) ).

tcf(c_64443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30311]) ).

tcf(c_64444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30311]) ).

tcf(c_64446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_30311]) ).

tcf(c_64449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30311]) ).

tcf(c_64452,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_30311]) ).

tcf(c_64453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_30311]) ).

tcf(c_64454,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ( max(max(X0,X1),sK2) = sK2 )
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_30311]) ).

tcf(c_64455,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_30311]) ).

tcf(c_64456,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30311]) ).

tcf(c_64457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30311]) ).

tcf(c_64458,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK5(X0,X1,X2))
      | ( max(X1,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_30311]) ).

tcf(c_64459,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK5(X0,X1,X2))
      | ( max(X0,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_30311]) ).

tcf(c_64460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_30311]) ).

tcf(c_64461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_30311]) ).

tcf(c_64467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_30311]) ).

tcf(c_64468,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30311]) ).

tcf(c_64469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1351,c_30311]) ).

tcf(c_64470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30311]) ).

tcf(c_64471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_30311]) ).

tcf(c_64473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30311]) ).

tcf(c_64475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X3)
      | model_max(X3,X3,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30311]) ).

tcf(c_64476,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30311]) ).

tcf(c_64477,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30311]) ).

tcf(c_64478,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X3,X0)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_30311]) ).

tcf(c_64479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30311]) ).

tcf(c_64480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X3,X0)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30311]) ).

tcf(c_64488,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_30311]) ).

tcf(c_64489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_30311]) ).

tcf(c_64516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_30311]) ).

tcf(c_64517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_30311]) ).

tcf(c_64526,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_30311]) ).

tcf(c_64527,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_30311]) ).

tcf(c_64528,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X1,X0))
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_30311]) ).

tcf(c_64529,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X1,X0))
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_30311]) ).

tcf(c_65463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X4,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3525,c_30546]) ).

tcf(c_65464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X4,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2535,c_30546]) ).

tcf(c_65465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X4,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1529,c_30546]) ).

tcf(c_65472,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | model_max(X0,X1,sK2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24420,c_30546]) ).

tcf(c_65477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1387,c_30546]) ).

tcf(c_65485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1373,c_30546]) ).

tcf(c_65487,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X0,X1,sK2)
      | model_max(X3,X3,X2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2537,c_30546]) ).

tcf(c_65488,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1491,c_30546]) ).

tcf(c_65491,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_2538,c_30546]) ).

tcf(c_65494,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_1493,c_30546]) ).

tcf(c_65497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_30546]) ).

tcf(c_65498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_30546]) ).

tcf(c_65499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X1,sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_30546]) ).

tcf(c_65500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X3,sK2)
      | model_max(X0,X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30546]) ).

tcf(c_65501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30546]) ).

tcf(c_65502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(sK0,sK5(X0,max(X1,X2),X3))
      | ~ model_ub(X0,max(X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_1652,c_30546]) ).

tcf(c_65503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,sK5(max(X0,X1),X2,X3))
      | ~ model_ub(max(X0,X1),X2,X3) ),
    inference(superposition,[status(thm)],[c_1653,c_30546]) ).

tcf(c_65504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X3,X4,X0)
      | lesseq(sK0,max(X3,X4))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_30546]) ).

tcf(c_65505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X3,X4,X0)
      | lesseq(sK0,max(X3,X4))
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_30546]) ).

tcf(c_65506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1351,c_30546]) ).

tcf(c_65507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | model_max(X2,X3,sK2)
      | model_max(X1,X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30546]) ).

tcf(c_65508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3349,c_30546]) ).

tcf(c_65510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30546]) ).

tcf(c_65512,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,X0)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3536,c_30546]) ).

tcf(c_65513,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X4,X4,X0)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3525,c_30546]) ).

tcf(c_65514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,X0)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2535,c_30546]) ).

tcf(c_65515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | model_max(X3,X4,sK2)
      | model_max(X1,X2,max(X3,X4))
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_30546]) ).

tcf(c_65517,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | model_max(X2,X3,sK2)
      | lesseq(X4,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_1497,c_30546]) ).

tcf(c_65524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X0,max(X3,X4))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_30546]) ).

tcf(c_65525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X1,max(X3,X4))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_30546]) ).

tcf(c_65531,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_30546]) ).

tcf(c_65541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_30546]) ).

tcf(c_65542,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_30546]) ).

tcf(c_65543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(sK0,max(X0,max(X1,X2)))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_30546]) ).

tcf(c_65544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(max(X0,X1),X2))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_10774,c_30546]) ).

tcf(c_65545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(X2,max(X0,X1)))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_12029,c_30546]) ).

tcf(c_65546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(sK0,max(max(X1,X2),X0))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_30546]) ).

tcf(c_65549,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X2,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_30546]) ).

tcf(c_65550,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X0,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1462,c_30546]) ).

tcf(c_65551,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X2,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1477,c_30546]) ).

tcf(c_65552,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X0,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1463,c_30546]) ).

tcf(c_65553,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1375,c_30546]) ).

tcf(c_65557,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(max(X2,X0),X0,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2864,c_30546]) ).

tcf(c_65558,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(max(X2,X0),X0,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2860,c_30546]) ).

tcf(c_65559,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(max(X0,X2),X0,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2865,c_30546]) ).

tcf(c_65560,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(max(X0,X2),X0,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2861,c_30546]) ).

tcf(c_65561,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27205,c_30546]) ).

tcf(c_65562,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_27325,c_30546]) ).

tcf(c_65563,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,max(X2,X0),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3000,c_30546]) ).

tcf(c_65564,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,max(X2,X0),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2995,c_30546]) ).

tcf(c_65565,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,max(X0,X2),sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_3001,c_30546]) ).

tcf(c_65566,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,max(X0,X2),sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_2996,c_30546]) ).

tcf(c_65567,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,X1,sK2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30012,c_30546]) ).

tcf(c_65568,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,X1,sK2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28847,c_30546]) ).

tcf(c_65569,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,X1,sK2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27324,c_30546]) ).

tcf(c_65570,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,X1,sK2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27205,c_30546]) ).

tcf(c_65572,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,sK2,sK2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30013,c_30546]) ).

tcf(c_65573,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,sK2,sK2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28848,c_30546]) ).

tcf(c_65574,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,sK2,sK2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27325,c_30546]) ).

tcf(c_65575,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,sK2,sK2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27206,c_30546]) ).

tcf(c_65579,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_30013,c_30546]) ).

tcf(c_65580,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_28847,c_30546]) ).

tcf(c_66047,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_31088]) ).

tcf(c_66048,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(sK1,sK5(sK0,sK1,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_31088]) ).

tcf(c_66057,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,X1),X0)
      | model_max(sK2,sK5(sK0,sK1,sK2),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_31088,c_1405]) ).

tcf(c_66058,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1)
      | model_max(sK2,sK5(sK0,sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_31088,c_1496]) ).

tcf(c_66060,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK5(sK0,sK1,sK2),X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_31088,c_1390]) ).

tcf(c_66061,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK5(sK0,sK1,sK2),X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_31088,c_1376]) ).

tcf(c_66070,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_31088,c_1405]) ).

tcf(c_66071,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK2,sK5(sK0,sK1,sK2)),X0) ),
    inference(superposition,[status(thm)],[c_31088,c_1496]) ).

tcf(c_66073,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK2,sK5(sK0,sK1,sK2))) = X0 ) ),
    inference(superposition,[status(thm)],[c_31088,c_1390]) ).

tcf(c_66074,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK2,sK5(sK0,sK1,sK2)),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_31088,c_1376]) ).

tcf(c_66080,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK5(sK0,sK1,sK2),X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_66061,c_1375]) ).

tcf(c_66083,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK5(sK0,sK1,sK2),X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_66060,c_1375]) ).

tcf(c_66105,plain,
    max(max(sK0,sK0),sK0) = sK0,
    inference(global_subsumption_just,[status(thm)],[c_19024,c_1382,c_1419]) ).

tcf(c_66113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X1,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_65499]) ).

tcf(c_66114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X1,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_65499]) ).

tcf(c_66133,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25710,c_65499]) ).

tcf(c_66136,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25030,c_65499]) ).

tcf(c_66160,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_3713,c_65499]) ).

tcf(c_66163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_65499]) ).

tcf(c_66164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_65499]) ).

tcf(c_66165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_65499]) ).

tcf(c_66166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_65499]) ).

tcf(c_66168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_65499]) ).

tcf(c_66169,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_65499]) ).

tcf(c_66170,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_65499]) ).

tcf(c_66175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X1,X0,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_65499]) ).

tcf(c_66176,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X1,X0,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_65499]) ).

tcf(c_66181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X0,sK2)
      | model_max(X2,X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_65499]) ).

tcf(c_66184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X1,X1,sK2)
      | model_max(X2,X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_65499]) ).

tcf(c_66185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X1,X1,sK2)
      | model_max(X2,X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_65499]) ).

tcf(c_66188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_65499]) ).

tcf(c_66193,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_65499]) ).

tcf(c_66446,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ~ lesseq(sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_31685,c_40598]) ).

tcf(c_66456,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_66446]) ).

tcf(c_66480,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_66446]) ).

tcf(c_66483,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_66446]) ).

tcf(c_66484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_66446]) ).

tcf(c_66490,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_66446]) ).

tcf(c_66495,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_66446]) ).

tcf(c_66496,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_66446]) ).

tcf(c_66497,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_66446]) ).

tcf(c_66499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_66446]) ).

tcf(c_66502,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_66446]) ).

tcf(c_66503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_66446]) ).

tcf(c_66507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_66446]) ).

tcf(c_66508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(sK0,sK0,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_66446]) ).

tcf(c_66510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK0,sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_66446]) ).

tcf(c_66528,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_66446]) ).

tcf(c_66531,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25402,c_66446]) ).

tcf(c_66534,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_66446]) ).

tcf(c_66541,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_66446]) ).

tcf(c_66683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK1,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_32636,c_1405]) ).

tcf(c_66684,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | lesseq(max(sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_32636,c_1496]) ).

tcf(c_66686,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_32636,c_1390]) ).

tcf(c_66687,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_32636,c_1376]) ).

tcf(c_66692,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_32636,c_29276]) ).

tcf(c_66693,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_32636,c_28039]) ).

tcf(c_66699,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_32636,c_1405]) ).

tcf(c_66700,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_32636,c_1496]) ).

tcf(c_66702,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_32636,c_1390]) ).

tcf(c_66703,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_32636,c_1376]) ).

tcf(c_66741,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK0,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34820,c_29276]) ).

tcf(c_66742,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK0,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34820,c_28039]) ).

tcf(c_66748,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK0,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34820,c_1405]) ).

tcf(c_66749,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34820,c_1496]) ).

tcf(c_66751,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_34820,c_1390]) ).

tcf(c_66752,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34820,c_1376]) ).

tcf(c_66760,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_66742,c_40598]) ).

tcf(c_66761,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_66741,c_40598]) ).

tcf(c_66770,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK0,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34826,c_29276]) ).

tcf(c_66771,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK0,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34826,c_28039]) ).

tcf(c_66777,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK0,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34826,c_1405]) ).

tcf(c_66778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34826,c_1496]) ).

tcf(c_66780,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_34826,c_1390]) ).

tcf(c_66781,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34826,c_1376]) ).

tcf(c_66878,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_34831]) ).

tcf(c_66880,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_34831]) ).

tcf(c_66894,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_34831]) ).

tcf(c_66895,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_34831]) ).

tcf(c_66896,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_34831]) ).

tcf(c_66897,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_34831]) ).

tcf(c_66902,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2537,c_34831]) ).

tcf(c_66903,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1491,c_34831]) ).

tcf(c_66905,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_34831]) ).

tcf(c_66906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_34831]) ).

tcf(c_66909,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_34831]) ).

tcf(c_66912,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_34831]) ).

tcf(c_66914,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(X0,sK1,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,sK1,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_34831]) ).

tcf(c_66915,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(sK1,X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(sK1,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_34831]) ).

tcf(c_66916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_34831]) ).

tcf(c_66919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_34831]) ).

tcf(c_66924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_34831]) ).

tcf(c_66925,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_34831]) ).

tcf(c_66927,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK1)
      | model_max(X0,X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_34831]) ).

tcf(c_66929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_34831]) ).

tcf(c_66961,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_34831]) ).

tcf(c_66962,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_34831]) ).

tcf(c_66963,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_34831]) ).

tcf(c_66964,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_34831]) ).

tcf(c_66966,plain,
    ( lesseq(sK0,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25459,c_34831]) ).

tcf(c_66967,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(X0,sK2,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_34831]) ).

tcf(c_66968,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(sK2,X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_34831]) ).

tcf(c_66969,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK2))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25053,c_34831]) ).

tcf(c_66970,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,sK2))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25051,c_34831]) ).

tcf(c_66971,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK2,X0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25054,c_34831]) ).

tcf(c_66972,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(sK2,X0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25052,c_34831]) ).

tcf(c_67338,plain,
    ( lesseq(sK0,sK0)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_66966]) ).

tcf(c_67353,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_66966,c_2536]) ).

tcf(c_67354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_66966,c_2529]) ).

tcf(c_67355,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_66966,c_1530]) ).

tcf(c_67356,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_66966,c_1476]) ).

tcf(c_67357,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_66966,c_3134]) ).

tcf(c_67358,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_66966,c_1461]) ).

tcf(c_67359,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK0 )
    | ~ lesseq(max(sK1,sK0),sK0) ),
    inference(superposition,[status(thm)],[c_66966,c_72]) ).

tcf(c_67360,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_66966,c_1402]) ).

tcf(c_67361,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_66966,c_60]) ).

tcf(c_67362,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK0),sK0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_66966,c_68]) ).

tcf(c_67363,plain,
    ( ( sK0 = sK2 )
    | ( max(sK0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_66966,c_67]) ).

tcf(c_67375,plain,
    ( lesseq(sK0,sK0)
    | ( sK1 = sK2 )
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_67338,c_40598]) ).

tcf(c_67459,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35446]) ).

tcf(c_67460,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_35446,c_55]) ).

tcf(c_67461,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_30311]) ).

tcf(c_67462,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_30230]) ).

tcf(c_67463,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_28649]) ).

tcf(c_67464,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_28613]) ).

tcf(c_67465,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_27640]) ).

tcf(c_67466,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_27550]) ).

tcf(c_67467,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_27007]) ).

tcf(c_67468,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_26975]) ).

tcf(c_67469,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_26068]) ).

tcf(c_67470,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_24518]) ).

tcf(c_67471,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_35446,c_2536]) ).

tcf(c_67472,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(sK1,sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_35446,c_2529]) ).

tcf(c_67473,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_1530]) ).

tcf(c_67474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK1,sK1,X1)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35446,c_1476]) ).

tcf(c_67475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_35446,c_3134]) ).

tcf(c_67476,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_35446,c_1461]) ).

tcf(c_67477,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_35446,c_72]) ).

tcf(c_67479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_35446,c_60]) ).

tcf(c_67482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X1,sK2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_35446,c_30546]) ).

tcf(c_67483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X1,sK2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_35446,c_27794]) ).

tcf(c_67484,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_35446,c_1437]) ).

tcf(c_67486,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK1,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_35446,c_1762]) ).

tcf(c_67487,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK1,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_35446,c_1733]) ).

tcf(c_67505,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK1,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_34831]) ).

tcf(c_67513,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_42195]) ).

tcf(c_67514,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35446,c_6991]) ).

tcf(c_67524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(sK1,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_35446,c_1405]) ).

tcf(c_67525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_35446,c_1496]) ).

tcf(c_67527,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_35446,c_1390]) ).

tcf(c_67528,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35446,c_1376]) ).

tcf(c_67540,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK1,X2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35446,c_1405]) ).

tcf(c_67541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_35446,c_1496]) ).

tcf(c_67543,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_1390]) ).

tcf(c_67544,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_1376]) ).

tcf(c_67796,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),sK2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_36407,c_29276]) ).

tcf(c_67797,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | lesseq(max(X0,X0),sK2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_36407,c_28039]) ).

tcf(c_67803,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X2,sK1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36407,c_1405]) ).

tcf(c_67804,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(max(X0,X0),X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_36407,c_1496]) ).

tcf(c_67805,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_36407,c_3116]) ).

tcf(c_67806,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,max(X0,X0)) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_36407,c_1390]) ).

tcf(c_67807,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(max(X0,X0),X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_36407,c_1376]) ).

tcf(c_67815,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_67807,c_1375]) ).

tcf(c_67819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_67806,c_1375]) ).

tcf(c_67823,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_67804,c_1375]) ).

tcf(c_67840,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_3525,c_36424]) ).

tcf(c_67841,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X3)
      | model_max(X1,X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2535,c_36424]) ).

tcf(c_67842,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1529,c_36424]) ).

tcf(c_67854,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1387,c_36424]) ).

tcf(c_67863,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1373,c_36424]) ).

tcf(c_67865,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2537,c_36424]) ).

tcf(c_67866,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1491,c_36424]) ).

tcf(c_67868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2535,c_36424]) ).

tcf(c_67869,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2538,c_36424]) ).

tcf(c_67871,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2411,c_36424]) ).

tcf(c_67872,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1493,c_36424]) ).

tcf(c_67875,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2530,c_36424]) ).

tcf(c_67876,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1491,c_36424]) ).

tcf(c_67877,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(X0,sK2,X1))
      | ~ lesseq(X2,sK1)
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_36424]) ).

tcf(c_67878,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK5(sK2,X0,X1))
      | ~ lesseq(X2,sK1)
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_36424]) ).

tcf(c_67879,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_40787,c_36424]) ).

tcf(c_67880,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_40637,c_36424]) ).

tcf(c_67881,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_6990,c_36424]) ).

tcf(c_67882,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_40638,c_36424]) ).

tcf(c_67883,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_6979,c_36424]) ).

tcf(c_67884,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2532,c_36424]) ).

tcf(c_67885,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2))
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1497,c_36424]) ).

tcf(c_67886,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1351,c_36424]) ).

tcf(c_67887,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2531,c_36424]) ).

tcf(c_67888,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_3349,c_36424]) ).

tcf(c_67889,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2411,c_36424]) ).

tcf(c_67890,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1493,c_36424]) ).

tcf(c_67892,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X3,X3,sK2)
      | model_max(X1,X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_3536,c_36424]) ).

tcf(c_67893,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X1)
      | model_max(X2,X2,X3)
      | model_max(X1,X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_3525,c_36424]) ).

tcf(c_67894,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2535,c_36424]) ).

tcf(c_67895,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | model_max(X1,X1,max(X2,X3))
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2539,c_36424]) ).

tcf(c_67896,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1529,c_36424]) ).

tcf(c_67897,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1497,c_36424]) ).

tcf(c_67904,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ lesseq(X3,sK1)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_36424]) ).

tcf(c_67905,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,sK5(X0,X1,X2))
      | ~ lesseq(X3,sK1)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_36424]) ).

tcf(c_67913,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_36587,c_36424]) ).

tcf(c_67914,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25641,c_36424]) ).

tcf(c_67915,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25559,c_36424]) ).

tcf(c_67916,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25402,c_36424]) ).

tcf(c_67917,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24839,c_36424]) ).

tcf(c_67918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24697,c_36424]) ).

tcf(c_67919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24420,c_36424]) ).

tcf(c_67922,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X1,sK2))
      | ( max(X1,sK2) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_10422,c_36424]) ).

tcf(c_67923,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK2,X1))
      | ( max(sK2,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_10774,c_36424]) ).

tcf(c_67924,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(X1,sK2))
      | ( max(sK2,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_12029,c_36424]) ).

tcf(c_67925,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,max(sK2,X1))
      | ( max(X1,sK2) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_12517,c_36424]) ).

tcf(c_67926,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_40604,c_36424]) ).

tcf(c_68380,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33163]) ).

tcf(c_68381,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK2,sK4(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33163,c_55]) ).

tcf(c_68382,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_30311]) ).

tcf(c_68383,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_30230]) ).

tcf(c_68384,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_28649]) ).

tcf(c_68385,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_28613]) ).

tcf(c_68386,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_27640]) ).

tcf(c_68387,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_27550]) ).

tcf(c_68388,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_27007]) ).

tcf(c_68389,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_26975]) ).

tcf(c_68390,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_26068]) ).

tcf(c_68391,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_24518]) ).

tcf(c_68392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_2536]) ).

tcf(c_68393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_2529]) ).

tcf(c_68394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1530]) ).

tcf(c_68395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1476]) ).

tcf(c_68396,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_3134]) ).

tcf(c_68397,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1461]) ).

tcf(c_68398,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | ( X0 = X1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33163,c_72]) ).

tcf(c_68400,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33163,c_60]) ).

tcf(c_68401,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33163,c_68]) ).

tcf(c_68402,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33163,c_67]) ).

tcf(c_68403,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_30546]) ).

tcf(c_68404,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_27794]) ).

tcf(c_68405,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1437]) ).

tcf(c_68406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_62]) ).

tcf(c_68407,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33163,c_1762]) ).

tcf(c_68408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33163,c_1733]) ).

tcf(c_68435,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_42195]) ).

tcf(c_68436,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_6991]) ).

tcf(c_68437,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_30167]) ).

tcf(c_68439,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_29276]) ).

tcf(c_68440,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_28039]) ).

tcf(c_68442,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK2) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_2108]) ).

tcf(c_68444,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,sK1) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1585]) ).

tcf(c_68446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK2,sK1),X1)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33163,c_1405]) ).

tcf(c_68447,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK2,sK1),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1496]) ).

tcf(c_68449,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1390]) ).

tcf(c_68450,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33163,c_1376]) ).

tcf(c_68470,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_68450,c_24428]) ).

tcf(c_68474,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_68449,c_24428]) ).

tcf(c_68478,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_68447,c_24428]) ).

tcf(c_68483,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_68440,c_24428]) ).

tcf(c_68484,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_68439,c_24428]) ).

tcf(c_68501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_68446,c_24428]) ).

tcf(c_68506,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_68444,c_24428]) ).

tcf(c_68978,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33164]) ).

tcf(c_68979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33164,c_55]) ).

tcf(c_68980,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_30311]) ).

tcf(c_68981,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_30230]) ).

tcf(c_68982,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_28649]) ).

tcf(c_68983,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_28613]) ).

tcf(c_68984,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_27640]) ).

tcf(c_68985,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_27550]) ).

tcf(c_68986,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_27007]) ).

tcf(c_68987,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_26975]) ).

tcf(c_68988,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_26068]) ).

tcf(c_68989,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_24518]) ).

tcf(c_68990,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_2536]) ).

tcf(c_68991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_2529]) ).

tcf(c_68992,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1530]) ).

tcf(c_68993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK2,sK1,X1)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1476]) ).

tcf(c_68994,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_3134]) ).

tcf(c_68995,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1461]) ).

tcf(c_68996,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | ( X0 = X1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33164,c_72]) ).

tcf(c_68998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33164,c_60]) ).

tcf(c_68999,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33164,c_68]) ).

tcf(c_69000,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33164,c_67]) ).

tcf(c_69001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_30546]) ).

tcf(c_69002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_27794]) ).

tcf(c_69003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1437]) ).

tcf(c_69004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_62]) ).

tcf(c_69005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33164,c_1762]) ).

tcf(c_69006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33164,c_1733]) ).

tcf(c_69033,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_42195]) ).

tcf(c_69034,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_6991]) ).

tcf(c_69035,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_30167]) ).

tcf(c_69037,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_29276]) ).

tcf(c_69038,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_28039]) ).

tcf(c_69040,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK2) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_2108]) ).

tcf(c_69042,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,sK1) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1585]) ).

tcf(c_69044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK2,sK1),X1)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33164,c_1405]) ).

tcf(c_69045,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK2,sK1),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1496]) ).

tcf(c_69047,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1390]) ).

tcf(c_69048,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33164,c_1376]) ).

tcf(c_69068,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_69048,c_24428]) ).

tcf(c_69072,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_69047,c_24428]) ).

tcf(c_69076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_69045,c_24428]) ).

tcf(c_69081,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_69038,c_24428]) ).

tcf(c_69082,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_69037,c_24428]) ).

tcf(c_69099,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,X2)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_69044,c_24428]) ).

tcf(c_69104,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_69042,c_24428]) ).

tcf(c_69689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33166]) ).

tcf(c_69690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33166]) ).

tcf(c_69691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_33166]) ).

tcf(c_69692,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_33166]) ).

tcf(c_69695,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_33166]) ).

tcf(c_69696,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_33166]) ).

tcf(c_69697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_33166]) ).

tcf(c_69698,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_33166]) ).

tcf(c_69699,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_33166]) ).

tcf(c_69700,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_33166]) ).

tcf(c_69701,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_33166]) ).

tcf(c_69702,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_33166]) ).

tcf(c_69703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_33166]) ).

tcf(c_69704,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_33166]) ).

tcf(c_69705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK1,X2)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_33166]) ).

tcf(c_69706,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X2)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_33166]) ).

tcf(c_69719,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_33166]) ).

tcf(c_69720,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_33166]) ).

tcf(c_69723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33166,c_30311]) ).

tcf(c_69724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33166,c_30230]) ).

tcf(c_69725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33166,c_28649]) ).

tcf(c_69727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33166,c_27640]) ).

tcf(c_69728,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33166,c_27550]) ).

tcf(c_69729,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33166,c_27007]) ).

tcf(c_69733,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(sK2,sK1,X4)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33166,c_2536]) ).

tcf(c_69734,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33166,c_2529]) ).

tcf(c_69735,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(sK2,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33166,c_1530]) ).

tcf(c_69736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33166,c_1476]) ).

tcf(c_69737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33166,c_3134]) ).

tcf(c_69738,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33166,c_1461]) ).

tcf(c_69739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_33166,c_72]) ).

tcf(c_69741,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK2,sK1,X3)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_33166,c_60]) ).

tcf(c_69742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33166,c_68]) ).

tcf(c_69743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_33166,c_67]) ).

tcf(c_69744,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK0,max(X2,X3))
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33166,c_30546]) ).

tcf(c_69745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,X3))
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33166,c_27794]) ).

tcf(c_69746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | model_max(X0,X1,X2)
      | lesseq(X2,max(X3,X4))
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33166,c_1437]) ).

tcf(c_69747,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(sK2,sK1,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_33166,c_62]) ).

tcf(c_69748,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X0,max(X3,X4))
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33166,c_1762]) ).

tcf(c_69749,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X1,max(X3,X4))
      | model_max(sK2,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33166,c_1733]) ).

tcf(c_69768,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33166,c_6991]) ).

tcf(c_70368,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33189]) ).

tcf(c_70369,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33189]) ).

tcf(c_70380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK1,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_2536]) ).

tcf(c_70381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_2529]) ).

tcf(c_70382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_1530]) ).

tcf(c_70383,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_1476]) ).

tcf(c_70384,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_3134]) ).

tcf(c_70385,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_1461]) ).

tcf(c_70386,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33189,c_72]) ).

tcf(c_70388,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33189,c_60]) ).

tcf(c_70393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK2,sK1,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33189,c_1437]) ).

tcf(c_70395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33189,c_1762]) ).

tcf(c_70396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33189,c_1733]) ).

tcf(c_70397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33189,c_66446]) ).

tcf(c_70398,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_30011]) ).

tcf(c_70399,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_28846]) ).

tcf(c_70400,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33189,c_25619]) ).

tcf(c_70401,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33189,c_25537]) ).

tcf(c_70403,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33189,c_24817]) ).

tcf(c_70405,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_27323]) ).

tcf(c_70406,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_27204]) ).

tcf(c_70412,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_33189,c_36424]) ).

tcf(c_70415,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_6991]) ).

tcf(c_70418,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_29276]) ).

tcf(c_70419,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_28039]) ).

tcf(c_70421,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(sK1,sK2) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_2108]) ).

tcf(c_70423,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,sK1) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_1585]) ).

tcf(c_70425,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK2,sK1),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33189,c_1405]) ).

tcf(c_70426,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | lesseq(max(sK2,sK1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_1496]) ).

tcf(c_70428,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_1390]) ).

tcf(c_70429,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_1376]) ).

tcf(c_70431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_24681]) ).

tcf(c_70435,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_70429,c_24428]) ).

tcf(c_70439,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,sK2) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_70428,c_24428]) ).

tcf(c_70443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_70426,c_24428]) ).

tcf(c_70448,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_70419,c_24428]) ).

tcf(c_70449,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_70418,c_24428]) ).

tcf(c_70486,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_70425,c_24428]) ).

tcf(c_70491,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_70423,c_24428]) ).

tcf(c_70861,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_36517,c_1405]) ).

tcf(c_70862,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36517,c_1496]) ).

tcf(c_70864,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_36517,c_1390]) ).

tcf(c_70865,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36517,c_1376]) ).

tcf(c_70894,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK1,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_37115]) ).

tcf(c_70896,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_1529,c_37115]) ).

tcf(c_70921,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2537,c_37115]) ).

tcf(c_70922,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1491,c_37115]) ).

tcf(c_70924,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2535,c_37115]) ).

tcf(c_70925,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_37115]) ).

tcf(c_70927,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_2411,c_37115]) ).

tcf(c_70928,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_37115]) ).

tcf(c_70931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_37115]) ).

tcf(c_70933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | lesseq(X2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_37115]) ).

tcf(c_70934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | lesseq(X2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_37115]) ).

tcf(c_70936,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_37115]) ).

tcf(c_70937,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_37115]) ).

tcf(c_70938,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_37115]) ).

tcf(c_70939,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_37115]) ).

tcf(c_70941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X3,X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2532,c_37115]) ).

tcf(c_70944,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_37115]) ).

tcf(c_70945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_37115]) ).

tcf(c_70949,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_37115]) ).

tcf(c_70950,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X3,X0)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_37115]) ).

tcf(c_70952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_37115]) ).

tcf(c_70954,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_37115]) ).

tcf(c_70955,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33189,c_37115]) ).

tcf(c_70964,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_37115]) ).

tcf(c_70971,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_36587,c_37115]) ).

tcf(c_70977,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_37115]) ).

tcf(c_70980,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_37115]) ).

tcf(c_70981,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_37115]) ).

tcf(c_70982,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | lesseq(X1,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_37115]) ).

tcf(c_70983,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | lesseq(X1,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_37115]) ).

tcf(c_71174,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38469]) ).

tcf(c_71175,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(sK5(sK0,sK1,sK1),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38469]) ).

tcf(c_71185,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,X1),X0)
      | model_max(sK5(sK0,sK1,sK2),sK2,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38469,c_1405]) ).

tcf(c_71186,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1)
      | model_max(sK5(sK0,sK1,sK2),sK2,X0) ),
    inference(superposition,[status(thm)],[c_38469,c_1496]) ).

tcf(c_71188,plain,
    ! [X0: $i] :
      ( model_max(sK5(sK0,sK1,sK2),sK2,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38469,c_1390]) ).

tcf(c_71189,plain,
    ! [X0: $i] :
      ( model_max(sK5(sK0,sK1,sK2),sK2,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38469,c_1376]) ).

tcf(c_71199,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38469,c_1405]) ).

tcf(c_71200,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK5(sK0,sK1,sK2),sK2),X0) ),
    inference(superposition,[status(thm)],[c_38469,c_1496]) ).

tcf(c_71202,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,max(sK5(sK0,sK1,sK2),sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_38469,c_1390]) ).

tcf(c_71203,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(max(sK5(sK0,sK1,sK2),sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38469,c_1376]) ).

tcf(c_71209,plain,
    ! [X0: $i] :
      ( model_max(sK5(sK0,sK1,sK2),sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_71189,c_1375]) ).

tcf(c_71212,plain,
    ! [X0: $i] :
      ( model_max(sK5(sK0,sK1,sK2),sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_71188,c_1375]) ).

tcf(c_71303,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40630,c_29276]) ).

tcf(c_71304,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40630,c_28039]) ).

tcf(c_71310,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40630,c_1405]) ).

tcf(c_71311,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40630,c_1496]) ).

tcf(c_71313,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40630,c_1390]) ).

tcf(c_71314,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40630,c_1376]) ).

tcf(c_71321,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_71304,c_25410]) ).

tcf(c_71332,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40631,c_29276]) ).

tcf(c_71333,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40631,c_28039]) ).

tcf(c_71339,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,sK2),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40631,c_1405]) ).

tcf(c_71340,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK2),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40631,c_1496]) ).

tcf(c_71342,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40631,c_1390]) ).

tcf(c_71343,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40631,c_1376]) ).

tcf(c_71360,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40632,c_65499]) ).

tcf(c_71361,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40632,c_29276]) ).

tcf(c_71362,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40632,c_28039]) ).

tcf(c_71363,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40632,c_54750]) ).

tcf(c_71368,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK2),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40632,c_1405]) ).

tcf(c_71369,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK2),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40632,c_1496]) ).

tcf(c_71371,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK2,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40632,c_1390]) ).

tcf(c_71372,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK2,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40632,c_1376]) ).

tcf(c_71374,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK2,sK2,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40632,c_35186]) ).

tcf(c_71407,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33190]) ).

tcf(c_71408,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33190]) ).

tcf(c_71419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_2536]) ).

tcf(c_71420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_2529]) ).

tcf(c_71421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_1530]) ).

tcf(c_71422,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_1476]) ).

tcf(c_71423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_3134]) ).

tcf(c_71424,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_1461]) ).

tcf(c_71425,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33190,c_72]) ).

tcf(c_71427,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK1,X1)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33190,c_60]) ).

tcf(c_71432,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_33190,c_1437]) ).

tcf(c_71434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33190,c_1762]) ).

tcf(c_71435,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33190,c_1733]) ).

tcf(c_71436,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_37115]) ).

tcf(c_71437,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_66446]) ).

tcf(c_71438,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_30011]) ).

tcf(c_71439,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_28846]) ).

tcf(c_71440,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_25619]) ).

tcf(c_71441,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_25537]) ).

tcf(c_71443,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_24817]) ).

tcf(c_71445,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_27323]) ).

tcf(c_71446,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33190,c_27204]) ).

tcf(c_71452,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_33190,c_36424]) ).

tcf(c_71455,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33190,c_6991]) ).

tcf(c_71458,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_29276]) ).

tcf(c_71459,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK2,sK1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_28039]) ).

tcf(c_71461,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(sK1,sK2) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_2108]) ).

tcf(c_71463,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(sK2,sK1) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_1585]) ).

tcf(c_71465,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK2,sK1),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33190,c_1405]) ).

tcf(c_71466,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(sK2,sK1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_1496]) ).

tcf(c_71468,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33190,c_1390]) ).

tcf(c_71469,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33190,c_1376]) ).

tcf(c_71471,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_24681]) ).

tcf(c_71475,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_71469,c_24428]) ).

tcf(c_71479,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_71468,c_24428]) ).

tcf(c_71483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_71466,c_24428]) ).

tcf(c_71488,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_71459,c_24428]) ).

tcf(c_71489,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_71458,c_24428]) ).

tcf(c_71530,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_71465,c_24428]) ).

tcf(c_71535,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_71463,c_24428]) ).

tcf(c_72113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33192]) ).

tcf(c_72114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33192]) ).

tcf(c_72115,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_33192]) ).

tcf(c_72116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_33192]) ).

tcf(c_72119,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_33192]) ).

tcf(c_72120,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_33192]) ).

tcf(c_72121,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_33192]) ).

tcf(c_72122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_33192]) ).

tcf(c_72123,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_33192]) ).

tcf(c_72124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_33192]) ).

tcf(c_72125,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_33192]) ).

tcf(c_72126,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_33192]) ).

tcf(c_72127,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_33192]) ).

tcf(c_72128,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_33192]) ).

tcf(c_72129,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_33192]) ).

tcf(c_72130,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_33192]) ).

tcf(c_72143,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_33192]) ).

tcf(c_72144,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_33192]) ).

tcf(c_72148,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33192,c_29276]) ).

tcf(c_72149,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33192,c_28039]) ).

tcf(c_72151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33192,c_2108]) ).

tcf(c_72152,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK1,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33192,c_1956]) ).

tcf(c_72153,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK1,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33192,c_1585]) ).

tcf(c_72154,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK1,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33192,c_1580]) ).

tcf(c_72155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(X2,X3),X1)
      | model_max(sK2,sK1,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33192,c_1405]) ).

tcf(c_72156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | model_max(sK2,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33192,c_1496]) ).

tcf(c_72158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33192,c_1390]) ).

tcf(c_72159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_33192,c_1376]) ).

tcf(c_72161,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_33192,c_40730]) ).

tcf(c_72163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_33192,c_1413]) ).

tcf(c_72165,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_33192,c_25625]) ).

tcf(c_72166,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_33192,c_25543]) ).

tcf(c_72171,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_33192,c_24681]) ).

tcf(c_72172,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_33192,c_24823]) ).

tcf(c_72173,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_33192,c_31071]) ).

tcf(c_72174,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_33192,c_38452]) ).

tcf(c_72176,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK2,sK1),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33192,c_29276]) ).

tcf(c_72177,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK2,sK1),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33192,c_28039]) ).

tcf(c_72183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | lesseq(max(sK2,sK1),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_33192,c_1405]) ).

tcf(c_72184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(max(sK2,sK1),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33192,c_1496]) ).

tcf(c_72186,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),max(sK2,sK1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33192,c_1390]) ).

tcf(c_72187,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(sK2,sK1),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33192,c_1376]) ).

tcf(c_72188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33192,c_24681]) ).

tcf(c_72189,plain,
    ( lesseq(max(sK2,sK1),sK2)
    | model_max(sK2,sK1,max(sK2,sK1)) ),
    inference(equality_factoring,[status(thm)],[c_33192]) ).

tcf(c_72191,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK2,sK1,sK2) ),
    inference(light_normalisation,[status(thm)],[c_72189,c_24428]) ).

tcf(c_72195,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,sK2) ),
    inference(light_normalisation,[status(thm)],[c_72172,c_24429]) ).

tcf(c_72211,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(light_normalisation,[status(thm)],[c_72184,c_24428]) ).

tcf(c_72216,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_72177,c_24428]) ).

tcf(c_72217,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_72176,c_24428]) ).

tcf(c_72268,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(light_normalisation,[status(thm)],[c_72183,c_24428]) ).

tcf(c_72293,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(light_normalisation,[status(thm)],[c_72187,c_24428]) ).

tcf(c_72297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(light_normalisation,[status(thm)],[c_72186,c_24428]) ).

tcf(c_72719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK2,sK4(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33770,c_55]) ).

tcf(c_72720,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,sK2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_30311]) ).

tcf(c_72721,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_30230]) ).

tcf(c_72722,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_28649]) ).

tcf(c_72723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_28613]) ).

tcf(c_72724,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_27640]) ).

tcf(c_72725,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_27550]) ).

tcf(c_72726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_27007]) ).

tcf(c_72727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_26975]) ).

tcf(c_72728,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_26068]) ).

tcf(c_72729,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_24518]) ).

tcf(c_72730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_2536]) ).

tcf(c_72731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_2529]) ).

tcf(c_72732,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_1530]) ).

tcf(c_72733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33770,c_1476]) ).

tcf(c_72734,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_3134]) ).

tcf(c_72735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33770,c_1461]) ).

tcf(c_72736,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | ( X0 = X1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33770,c_72]) ).

tcf(c_72738,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33770,c_60]) ).

tcf(c_72739,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33770,c_68]) ).

tcf(c_72740,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33770,c_67]) ).

tcf(c_72741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_30546]) ).

tcf(c_72742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_27794]) ).

tcf(c_72743,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_1437]) ).

tcf(c_72744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_62]) ).

tcf(c_72745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33770,c_1762]) ).

tcf(c_72746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33770,c_1733]) ).

tcf(c_72774,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_42195]) ).

tcf(c_72775,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_6991]) ).

tcf(c_72776,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_30167]) ).

tcf(c_72778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_29276]) ).

tcf(c_72779,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_28039]) ).

tcf(c_72785,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK1,sK2),X1)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33770,c_1405]) ).

tcf(c_72786,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK1,sK2),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_1496]) ).

tcf(c_72788,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33770,c_1390]) ).

tcf(c_72789,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33770,c_1376]) ).

tcf(c_73036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33771,c_55]) ).

tcf(c_73037,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_30311]) ).

tcf(c_73038,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_30230]) ).

tcf(c_73039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_28649]) ).

tcf(c_73040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_28613]) ).

tcf(c_73041,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_27640]) ).

tcf(c_73042,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_27550]) ).

tcf(c_73043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_27007]) ).

tcf(c_73044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_26975]) ).

tcf(c_73045,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_26068]) ).

tcf(c_73046,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_24518]) ).

tcf(c_73047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_2536]) ).

tcf(c_73048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_2529]) ).

tcf(c_73049,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_1530]) ).

tcf(c_73050,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK1,sK2,X1)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33771,c_1476]) ).

tcf(c_73051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_3134]) ).

tcf(c_73052,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33771,c_1461]) ).

tcf(c_73053,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | ( X0 = X1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33771,c_72]) ).

tcf(c_73055,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33771,c_60]) ).

tcf(c_73056,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33771,c_68]) ).

tcf(c_73057,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33771,c_67]) ).

tcf(c_73058,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_30546]) ).

tcf(c_73059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_27794]) ).

tcf(c_73060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_1437]) ).

tcf(c_73061,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_62]) ).

tcf(c_73062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33771,c_1762]) ).

tcf(c_73063,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33771,c_1733]) ).

tcf(c_73091,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_42195]) ).

tcf(c_73092,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_6991]) ).

tcf(c_73093,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_30167]) ).

tcf(c_73095,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_29276]) ).

tcf(c_73096,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_28039]) ).

tcf(c_73102,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK1,sK2),X1)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33771,c_1405]) ).

tcf(c_73103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK1,sK2),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_1496]) ).

tcf(c_73105,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33771,c_1390]) ).

tcf(c_73106,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33771,c_1376]) ).

tcf(c_73246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_40634]) ).

tcf(c_73248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_40634]) ).

tcf(c_73249,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36587,c_40634]) ).

tcf(c_73252,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25402,c_40634]) ).

tcf(c_73253,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24839,c_40634]) ).

tcf(c_73254,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24697,c_40634]) ).

tcf(c_73255,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24420,c_40634]) ).

tcf(c_73262,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_40634]) ).

tcf(c_73263,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_40634]) ).

tcf(c_73264,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_40634]) ).

tcf(c_73265,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_40634]) ).

tcf(c_73266,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_40634]) ).

tcf(c_73267,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_40634]) ).

tcf(c_73268,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_40634]) ).

tcf(c_73269,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_40634]) ).

tcf(c_73270,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_40634]) ).

tcf(c_73275,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_40634]) ).

tcf(c_73276,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_40634]) ).

tcf(c_73278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_40634]) ).

tcf(c_73279,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_40634]) ).

tcf(c_73281,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_40634]) ).

tcf(c_73282,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_40634]) ).

tcf(c_73285,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_40634]) ).

tcf(c_73287,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,sK0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,sK0,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_40634]) ).

tcf(c_73288,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(sK0,X0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(sK0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_40634]) ).

tcf(c_73290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_40634]) ).

tcf(c_73293,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_40634]) ).

tcf(c_73294,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_40634]) ).

tcf(c_73298,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_40634]) ).

tcf(c_73299,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_40634]) ).

tcf(c_73301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | model_max(X0,X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_40634]) ).

tcf(c_73303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_40634]) ).

tcf(c_73304,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_40634]) ).

tcf(c_73305,plain,
    ( lesseq(sK2,sK2)
    | ( sK1 = sK2 )
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25406,c_40634]) ).

tcf(c_73308,plain,
    ( lesseq(sK2,sK2)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_40634]) ).

tcf(c_73320,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33190,c_40634]) ).

tcf(c_73336,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_40634]) ).

tcf(c_73337,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK0,X0))
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_40634]) ).

tcf(c_73338,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK0))
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_40634]) ).

tcf(c_73339,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK0,X0))
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_40634]) ).

tcf(c_73342,plain,
    ( lesseq(sK2,max(sK1,sK0))
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48904,c_40634]) ).

tcf(c_73343,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,sK2,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_40634]) ).

tcf(c_73344,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(sK2,X0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_40634]) ).

tcf(c_73345,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK2))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25733,c_40634]) ).

tcf(c_73346,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK2))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_40634]) ).

tcf(c_73347,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK2,X0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25734,c_40634]) ).

tcf(c_73348,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK2,X0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_40634]) ).

tcf(c_73351,plain,
    ( lesseq(sK2,sK2)
    | ( sK1 = sK2 )
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_73308,c_40598]) ).

tcf(c_73627,plain,
    ( lesseq(sK2,sK1)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_73342]) ).

tcf(c_73643,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_2536]) ).

tcf(c_73644,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_2529]) ).

tcf(c_73645,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_1530]) ).

tcf(c_73646,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_73342,c_1476]) ).

tcf(c_73647,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_3134]) ).

tcf(c_73648,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_73342,c_1461]) ).

tcf(c_73649,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ~ lesseq(max(sK1,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_73342,c_72]) ).

tcf(c_73650,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_1402]) ).

tcf(c_73651,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_73342,c_60]) ).

tcf(c_73652,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK1,sK0),sK2) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_73342,c_68]) ).

tcf(c_73653,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_73342,c_67]) ).

tcf(c_73654,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_37115]) ).

tcf(c_73658,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_25619]) ).

tcf(c_73659,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_25537]) ).

tcf(c_73661,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_24817]) ).

tcf(c_73662,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_73342,c_24675]) ).

tcf(c_73670,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_73342,c_36424]) ).

tcf(c_73966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40745,c_55]) ).

tcf(c_73967,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_30311]) ).

tcf(c_73968,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_30230]) ).

tcf(c_73969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_28649]) ).

tcf(c_73970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_28613]) ).

tcf(c_73971,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_27640]) ).

tcf(c_73972,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_27550]) ).

tcf(c_73973,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_27007]) ).

tcf(c_73974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_26975]) ).

tcf(c_73975,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_26068]) ).

tcf(c_73976,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_24518]) ).

tcf(c_73978,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(sK0,sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_40745,c_2529]) ).

tcf(c_73980,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK0,sK1,X1)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40745,c_1476]) ).

tcf(c_73981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_40745,c_3134]) ).

tcf(c_73982,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40745,c_1461]) ).

tcf(c_73983,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40745,c_72]) ).

tcf(c_73985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40745,c_60]) ).

tcf(c_73986,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40745,c_68]) ).

tcf(c_73987,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40745,c_67]) ).

tcf(c_73990,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_40745,c_1437]) ).

tcf(c_73991,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_40745,c_62]) ).

tcf(c_73992,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40745,c_1762]) ).

tcf(c_73993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40745,c_1733]) ).

tcf(c_74013,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_34831]) ).

tcf(c_74021,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_40634]) ).

tcf(c_74022,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_42195]) ).

tcf(c_74023,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40745,c_6991]) ).

tcf(c_74033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40745,c_1405]) ).

tcf(c_74034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_40745,c_1496]) ).

tcf(c_74036,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40745,c_1390]) ).

tcf(c_74037,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40745,c_1376]) ).

tcf(c_74050,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40745,c_1405]) ).

tcf(c_74051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_40745,c_1496]) ).

tcf(c_74053,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_1390]) ).

tcf(c_74054,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_1376]) ).

tcf(c_74183,plain,
    ( lesseq(sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2)))
    | ~ ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) ),
    inference(instantiation,[status(thm)],[c_27865]) ).

tcf(c_74317,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40746,c_1405]) ).

tcf(c_74318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_40746,c_1496]) ).

tcf(c_74320,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40746,c_1390]) ).

tcf(c_74321,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40746,c_1376]) ).

tcf(c_74327,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_40746,c_29276]) ).

tcf(c_74328,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_40746,c_28039]) ).

tcf(c_74334,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40746,c_1405]) ).

tcf(c_74335,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_40746,c_1496]) ).

tcf(c_74337,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40746,c_1390]) ).

tcf(c_74338,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40746,c_1376]) ).

tcf(c_74363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_40843]) ).

tcf(c_74365,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_40843]) ).

tcf(c_74367,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25641,c_40843]) ).

tcf(c_74368,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25559,c_40843]) ).

tcf(c_74372,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24420,c_40843]) ).

tcf(c_74379,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_40843]) ).

tcf(c_74384,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK1,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_40843]) ).

tcf(c_74385,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_40843]) ).

tcf(c_74386,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_40843]) ).

tcf(c_74387,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_40843]) ).

tcf(c_74388,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_40843]) ).

tcf(c_74393,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2537,c_40843]) ).

tcf(c_74394,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1491,c_40843]) ).

tcf(c_74396,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_40843]) ).

tcf(c_74397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_40843]) ).

tcf(c_74399,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_40843]) ).

tcf(c_74400,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_40843]) ).

tcf(c_74403,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_40843]) ).

tcf(c_74405,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,sK1,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,sK1,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_40843]) ).

tcf(c_74406,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(sK1,X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(sK1,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_40843]) ).

tcf(c_74408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_40843]) ).

tcf(c_74411,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_40843]) ).

tcf(c_74412,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_40843]) ).

tcf(c_74416,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_40843]) ).

tcf(c_74417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_40843]) ).

tcf(c_74419,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK1)
      | model_max(X0,X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_40843]) ).

tcf(c_74421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_40843]) ).

tcf(c_74422,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33189,c_40843]) ).

tcf(c_74423,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25406,c_40843]) ).

tcf(c_74425,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24424,c_40843]) ).

tcf(c_74444,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_40843]) ).

tcf(c_74451,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK1)
      | model_max(sK1,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24420,c_40843]) ).

tcf(c_74455,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_40843]) ).

tcf(c_74456,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_40843]) ).

tcf(c_74457,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK1))
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_40843]) ).

tcf(c_74458,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK1,X0))
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_40843]) ).

tcf(c_74460,plain,
    ( lesseq(sK2,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25459,c_40843]) ).

tcf(c_74461,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,sK2,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_40843]) ).

tcf(c_74462,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(sK2,X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_40843]) ).

tcf(c_74463,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK2))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25053,c_40843]) ).

tcf(c_74464,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,sK2))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25051,c_40843]) ).

tcf(c_74465,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK2,X0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25054,c_40843]) ).

tcf(c_74466,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(sK2,X0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25052,c_40843]) ).

tcf(c_74714,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_2536]) ).

tcf(c_74715,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_2529]) ).

tcf(c_74716,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_1530]) ).

tcf(c_74717,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_74460,c_1476]) ).

tcf(c_74718,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_3134]) ).

tcf(c_74719,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_74460,c_1461]) ).

tcf(c_74720,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ~ lesseq(max(sK1,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_74460,c_72]) ).

tcf(c_74721,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_1402]) ).

tcf(c_74722,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_74460,c_60]) ).

tcf(c_74723,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK0),sK2) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_74460,c_68]) ).

tcf(c_74724,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_74460,c_67]) ).

tcf(c_74725,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_37115]) ).

tcf(c_74729,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_25619]) ).

tcf(c_74730,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_25537]) ).

tcf(c_74732,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_24817]) ).

tcf(c_74733,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_74460,c_24675]) ).

tcf(c_74741,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_74460,c_36424]) ).

tcf(c_74898,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40853,c_29276]) ).

tcf(c_74899,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40853,c_28039]) ).

tcf(c_74905,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40853,c_1405]) ).

tcf(c_74906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40853,c_1496]) ).

tcf(c_74908,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40853,c_1390]) ).

tcf(c_74909,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40853,c_1376]) ).

tcf(c_74916,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_74899,c_1375]) ).

tcf(c_74928,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_42124]) ).

tcf(c_74930,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_65499]) ).

tcf(c_74931,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK2,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_29276]) ).

tcf(c_74932,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK2,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_28039]) ).

tcf(c_74933,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_54750]) ).

tcf(c_74938,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK2,sK2),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42124,c_1405]) ).

tcf(c_74939,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_1496]) ).

tcf(c_74941,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK2,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_42124,c_1390]) ).

tcf(c_74942,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK2,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_42124,c_1376]) ).

tcf(c_74944,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK2,sK2,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_35186]) ).

tcf(c_74978,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42191,c_29276]) ).

tcf(c_74979,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42191,c_28039]) ).

tcf(c_74985,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK1,sK1),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42191,c_1405]) ).

tcf(c_74986,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK1),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42191,c_1496]) ).

tcf(c_74988,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_42191,c_1390]) ).

tcf(c_74989,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_42191,c_1376]) ).

tcf(c_75165,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK5(sK0,sK1,sK1),sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42283,c_29276]) ).

tcf(c_75166,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK5(sK0,sK1,sK1),sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42283,c_28039]) ).

tcf(c_75169,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK1,sK5(sK0,sK1,sK1)) = sK5(sK0,sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_42283,c_1956]) ).

tcf(c_75171,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK5(sK0,sK1,sK1),sK1) = sK5(sK0,sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_42283,c_1580]) ).

tcf(c_75172,plain,
    ! [X0: $i] :
      ( lesseq(max(sK5(sK0,sK1,sK1),sK1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42283,c_1405]) ).

tcf(c_75173,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK5(sK0,sK1,sK1),sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42283,c_1496]) ).

tcf(c_75174,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK5(sK0,sK1,sK1),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42283,c_3116]) ).

tcf(c_75175,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK5(sK0,sK1,sK1),sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42283,c_1390]) ).

tcf(c_75176,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK5(sK0,sK1,sK1),sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42283,c_1376]) ).

tcf(c_75177,plain,
    ( model_max(sK5(sK0,sK1,sK1),sK1,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42283,c_35186]) ).

tcf(c_75296,plain,
    ( lesseq(sK0,sK1)
    | lesseq(max(sK1,sK5(sK0,sK1,sK1)),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42310,c_29276]) ).

tcf(c_75297,plain,
    ( lesseq(sK1,sK1)
    | lesseq(max(sK1,sK5(sK0,sK1,sK1)),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42310,c_28039]) ).

tcf(c_75303,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK5(sK0,sK1,sK1)),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42310,c_1405]) ).

tcf(c_75304,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK5(sK0,sK1,sK1)),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42310,c_1496]) ).

tcf(c_75305,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK5(sK0,sK1,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42310,c_3116]) ).

tcf(c_75306,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,max(sK1,sK5(sK0,sK1,sK1))) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42310,c_1390]) ).

tcf(c_75307,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK5(sK0,sK1,sK1)),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42310,c_1376]) ).

tcf(c_75308,plain,
    ( model_max(sK1,sK5(sK0,sK1,sK1),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42310,c_35186]) ).

tcf(c_75334,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42312,c_29276]) ).

tcf(c_75335,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42312,c_28039]) ).

tcf(c_75341,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42312,c_1405]) ).

tcf(c_75342,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42312,c_1496]) ).

tcf(c_75344,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42312,c_1390]) ).

tcf(c_75345,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42312,c_1376]) ).

tcf(c_75352,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK0,X0)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_75335,c_1375]) ).

tcf(c_75367,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33773]) ).

tcf(c_75368,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33773]) ).

tcf(c_75369,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_33773]) ).

tcf(c_75370,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_33773]) ).

tcf(c_75373,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_33773]) ).

tcf(c_75374,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_33773]) ).

tcf(c_75375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_33773]) ).

tcf(c_75376,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_33773]) ).

tcf(c_75377,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_33773]) ).

tcf(c_75378,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_33773]) ).

tcf(c_75379,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_33773]) ).

tcf(c_75380,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_33773]) ).

tcf(c_75381,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_33773]) ).

tcf(c_75382,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_33773]) ).

tcf(c_75383,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK1,sK2,X2)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_33773]) ).

tcf(c_75384,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X2)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_33773]) ).

tcf(c_75385,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_33773]) ).

tcf(c_75386,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_33773]) ).

tcf(c_75387,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_33773]) ).

tcf(c_75388,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_33773]) ).

tcf(c_75397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_33773]) ).

tcf(c_75398,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_33773]) ).

tcf(c_75401,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33773,c_30311]) ).

tcf(c_75402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33773,c_30230]) ).

tcf(c_75403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33773,c_28649]) ).

tcf(c_75405,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33773,c_27640]) ).

tcf(c_75406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33773,c_27550]) ).

tcf(c_75407,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33773,c_27007]) ).

tcf(c_75411,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(sK1,sK2,X4)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33773,c_2536]) ).

tcf(c_75412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33773,c_2529]) ).

tcf(c_75413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(sK1,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33773,c_1530]) ).

tcf(c_75414,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33773,c_1476]) ).

tcf(c_75415,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK1,sK2,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33773,c_3134]) ).

tcf(c_75416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33773,c_1461]) ).

tcf(c_75417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_33773,c_72]) ).

tcf(c_75419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK1,sK2,X3)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_33773,c_60]) ).

tcf(c_75420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33773,c_68]) ).

tcf(c_75421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_33773,c_67]) ).

tcf(c_75422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK0,max(X2,X3))
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33773,c_30546]) ).

tcf(c_75423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,X3))
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33773,c_27794]) ).

tcf(c_75424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | model_max(X0,X1,X2)
      | lesseq(X2,max(X3,X4))
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33773,c_1437]) ).

tcf(c_75425,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(sK1,sK2,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_33773,c_62]) ).

tcf(c_75426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X0,max(X3,X4))
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33773,c_1762]) ).

tcf(c_75427,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X1,max(X3,X4))
      | model_max(sK1,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33773,c_1733]) ).

tcf(c_75449,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33773,c_6991]) ).

tcf(c_75725,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33796]) ).

tcf(c_75737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(sK1,sK2,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_2536]) ).

tcf(c_75738,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_2529]) ).

tcf(c_75739,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_1530]) ).

tcf(c_75740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_1476]) ).

tcf(c_75741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_3134]) ).

tcf(c_75742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_1461]) ).

tcf(c_75743,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33796,c_72]) ).

tcf(c_75745,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33796,c_60]) ).

tcf(c_75750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK1,sK2,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33796,c_1437]) ).

tcf(c_75752,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33796,c_1762]) ).

tcf(c_75753,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33796,c_1733]) ).

tcf(c_75754,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33796,c_37115]) ).

tcf(c_75755,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33796,c_66446]) ).

tcf(c_75756,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_30011]) ).

tcf(c_75757,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_28846]) ).

tcf(c_75758,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33796,c_25619]) ).

tcf(c_75763,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_27323]) ).

tcf(c_75764,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_27204]) ).

tcf(c_75770,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_33796,c_36424]) ).

tcf(c_75771,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33796,c_40843]) ).

tcf(c_75773,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_40634]) ).

tcf(c_75775,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_6991]) ).

tcf(c_75778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_29276]) ).

tcf(c_75779,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_28039]) ).

tcf(c_75785,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK1,sK2),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33796,c_1405]) ).

tcf(c_75786,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | lesseq(max(sK1,sK2),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_1496]) ).

tcf(c_75788,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_1390]) ).

tcf(c_75789,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_1376]) ).

tcf(c_76230,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_33797]) ).

tcf(c_76242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_2536]) ).

tcf(c_76243,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_2529]) ).

tcf(c_76244,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_1530]) ).

tcf(c_76245,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_1476]) ).

tcf(c_76246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_3134]) ).

tcf(c_76247,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_1461]) ).

tcf(c_76248,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33797,c_72]) ).

tcf(c_76250,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_33797,c_60]) ).

tcf(c_76255,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_33797,c_1437]) ).

tcf(c_76257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33797,c_1762]) ).

tcf(c_76258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33797,c_1733]) ).

tcf(c_76259,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33797,c_37115]) ).

tcf(c_76260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33797,c_66446]) ).

tcf(c_76261,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33797,c_30011]) ).

tcf(c_76262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33797,c_28846]) ).

tcf(c_76263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33797,c_25619]) ).

tcf(c_76268,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33797,c_27323]) ).

tcf(c_76269,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33797,c_27204]) ).

tcf(c_76275,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_33797,c_36424]) ).

tcf(c_76276,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_40843]) ).

tcf(c_76278,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33797,c_40634]) ).

tcf(c_76280,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33797,c_6991]) ).

tcf(c_76283,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_29276]) ).

tcf(c_76284,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_28039]) ).

tcf(c_76290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK1,sK2),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33797,c_1405]) ).

tcf(c_76291,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(sK1,sK2),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_1496]) ).

tcf(c_76293,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33797,c_1390]) ).

tcf(c_76294,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_33797,c_1376]) ).

tcf(c_76460,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33799]) ).

tcf(c_76461,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_33799]) ).

tcf(c_76462,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_33799]) ).

tcf(c_76463,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_33799]) ).

tcf(c_76466,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_33799]) ).

tcf(c_76467,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_33799]) ).

tcf(c_76468,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_33799]) ).

tcf(c_76469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_33799]) ).

tcf(c_76470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_33799]) ).

tcf(c_76471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_33799]) ).

tcf(c_76472,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_33799]) ).

tcf(c_76473,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_33799]) ).

tcf(c_76474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_33799]) ).

tcf(c_76475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_33799]) ).

tcf(c_76476,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_33799]) ).

tcf(c_76477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_33799]) ).

tcf(c_76490,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_33799]) ).

tcf(c_76491,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_33799]) ).

tcf(c_76495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33799,c_29276]) ).

tcf(c_76496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33799,c_28039]) ).

tcf(c_76498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33799,c_2108]) ).

tcf(c_76499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK1,sK2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33799,c_1956]) ).

tcf(c_76500,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK1,sK2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_33799,c_1585]) ).

tcf(c_76501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK1,sK2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_33799,c_1580]) ).

tcf(c_76502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(X2,X3),X1)
      | model_max(sK1,sK2,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_33799,c_1405]) ).

tcf(c_76503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | model_max(sK1,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33799,c_1496]) ).

tcf(c_76505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_33799,c_1390]) ).

tcf(c_76506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_33799,c_1376]) ).

tcf(c_76508,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_33799,c_40730]) ).

tcf(c_76510,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_33799,c_1413]) ).

tcf(c_76512,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_33799,c_25625]) ).

tcf(c_76513,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_33799,c_25543]) ).

tcf(c_76518,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_33799,c_24681]) ).

tcf(c_76519,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_33799,c_24823]) ).

tcf(c_76520,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_33799,c_31071]) ).

tcf(c_76521,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_33799,c_38452]) ).

tcf(c_76523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK1,sK2),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33799,c_29276]) ).

tcf(c_76524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK1,sK2),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33799,c_28039]) ).

tcf(c_76530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | lesseq(max(sK1,sK2),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_33799,c_1405]) ).

tcf(c_76531,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(max(sK1,sK2),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_33799,c_1496]) ).

tcf(c_76533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),max(sK1,sK2)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33799,c_1390]) ).

tcf(c_76534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(sK1,sK2),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_33799,c_1376]) ).

tcf(c_76536,plain,
    ( lesseq(max(sK1,sK2),sK2)
    | model_max(sK1,sK2,max(sK1,sK2)) ),
    inference(equality_factoring,[status(thm)],[c_33799]) ).

tcf(c_76538,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_76536,c_24429]) ).

tcf(c_76539,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_76519,c_24429]) ).

tcf(c_76870,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK2,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_43159,c_29276]) ).

tcf(c_76871,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK2,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_43159,c_28039]) ).

tcf(c_76877,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK2,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_43159,c_1405]) ).

tcf(c_76878,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_43159,c_1496]) ).

tcf(c_76880,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_43159,c_1390]) ).

tcf(c_76881,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_43159,c_1376]) ).

tcf(c_76898,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK1,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_43182,c_29276]) ).

tcf(c_76899,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK1,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_43182,c_28039]) ).

tcf(c_76905,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK1,sK2),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_43182,c_1405]) ).

tcf(c_76906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_43182,c_1496]) ).

tcf(c_76908,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_43182,c_1390]) ).

tcf(c_76909,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_43182,c_1376]) ).

tcf(c_76925,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_44769,c_55]) ).

tcf(c_76926,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_30311]) ).

tcf(c_76927,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_30230]) ).

tcf(c_76928,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_28649]) ).

tcf(c_76929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_28613]) ).

tcf(c_76930,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_27640]) ).

tcf(c_76931,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_27550]) ).

tcf(c_76932,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_27007]) ).

tcf(c_76933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_26975]) ).

tcf(c_76934,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_26068]) ).

tcf(c_76935,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_24518]) ).

tcf(c_76937,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(sK0,sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_44769,c_2529]) ).

tcf(c_76939,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK0,sK0,X1)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_44769,c_1476]) ).

tcf(c_76940,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_44769,c_3134]) ).

tcf(c_76941,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | model_max(X2,X2,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_44769,c_1461]) ).

tcf(c_76942,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44769,c_72]) ).

tcf(c_76944,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X0,X0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44769,c_60]) ).

tcf(c_76945,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_44769,c_68]) ).

tcf(c_76946,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_44769,c_67]) ).

tcf(c_76949,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_44769,c_1437]) ).

tcf(c_76950,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_44769,c_62]) ).

tcf(c_76951,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK0,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_44769,c_1762]) ).

tcf(c_76952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | model_max(sK0,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_44769,c_1733]) ).

tcf(c_76972,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK0,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_40843]) ).

tcf(c_76973,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK0,sK1)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_34831]) ).

tcf(c_76981,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_40634]) ).

tcf(c_76982,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_42195]) ).

tcf(c_76983,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_44769,c_6991]) ).

tcf(c_76993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | lesseq(max(sK0,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44769,c_1405]) ).

tcf(c_76994,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK0,sK0),X0) ),
    inference(superposition,[status(thm)],[c_44769,c_1496]) ).

tcf(c_76996,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_44769,c_1390]) ).

tcf(c_76997,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_44769,c_1376]) ).

tcf(c_77009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_44769,c_1405]) ).

tcf(c_77010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK0,X2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_44769,c_1496]) ).

tcf(c_77012,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_1390]) ).

tcf(c_77013,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_1376]) ).

tcf(c_77371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK0,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44781,c_1405]) ).

tcf(c_77372,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | lesseq(max(sK0,sK0),X0) ),
    inference(superposition,[status(thm)],[c_44781,c_1496]) ).

tcf(c_77374,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_44781,c_1390]) ).

tcf(c_77375,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_44781,c_1376]) ).

tcf(c_77380,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_44781,c_29276]) ).

tcf(c_77381,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_44781,c_28039]) ).

tcf(c_77387,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44781,c_1405]) ).

tcf(c_77388,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_44781,c_1496]) ).

tcf(c_77390,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_44781,c_1390]) ).

tcf(c_77391,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_44781,c_1376]) ).

tcf(c_77429,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46051,c_29276]) ).

tcf(c_77430,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46051,c_28039]) ).

tcf(c_77436,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_46051,c_1405]) ).

tcf(c_77437,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(max(X0,X0),X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46051,c_1496]) ).

tcf(c_77439,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46051,c_1390]) ).

tcf(c_77440,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46051,c_1376]) ).

tcf(c_77446,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK1,X0)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_77429,c_1375]) ).

tcf(c_77468,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK1,sK0,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_47281,c_2485,c_6811,c_24452,c_32724,c_35503]) ).

tcf(c_77483,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77468,c_1405]) ).

tcf(c_77484,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77468,c_1496]) ).

tcf(c_77485,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_77468,c_3116]) ).

tcf(c_77486,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77468,c_1390]) ).

tcf(c_77487,plain,
    ( lesseq(sK1,sK0)
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77468,c_1376]) ).

tcf(c_77517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_77485,c_1405]) ).

tcf(c_77518,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77485,c_1496]) ).

tcf(c_77519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_77485,c_3116]) ).

tcf(c_77520,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_77485,c_1390]) ).

tcf(c_77521,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_77485,c_1376]) ).

tcf(c_77549,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47319,c_65499]) ).

tcf(c_77550,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47319,c_29276]) ).

tcf(c_77551,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47319,c_28039]) ).

tcf(c_77552,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47319,c_54750]) ).

tcf(c_77557,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_47319,c_1405]) ).

tcf(c_77558,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47319,c_1496]) ).

tcf(c_77560,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_47319,c_1390]) ).

tcf(c_77561,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47319,c_1376]) ).

tcf(c_77667,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_52653,c_29276]) ).

tcf(c_77668,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK2,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_52653,c_28039]) ).

tcf(c_77674,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK2,sK1),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_52653,c_1405]) ).

tcf(c_77675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK1),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_52653,c_1496]) ).

tcf(c_77677,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_52653,c_1390]) ).

tcf(c_77678,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_52653,c_1376]) ).

tcf(c_77695,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_53259,c_29276]) ).

tcf(c_77696,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_53259,c_28039]) ).

tcf(c_77702,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK1,sK2),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_53259,c_1405]) ).

tcf(c_77703,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK2),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_53259,c_1496]) ).

tcf(c_77705,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_53259,c_1390]) ).

tcf(c_77706,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_53259,c_1376]) ).

tcf(c_77722,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_34337]) ).

tcf(c_77723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ( max(X2,sK1) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34337,c_55]) ).

tcf(c_77726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_28649]) ).

tcf(c_77727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_28613]) ).

tcf(c_77730,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_27007]) ).

tcf(c_77731,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_26975]) ).

tcf(c_77732,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_26068]) ).

tcf(c_77733,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_24518]) ).

tcf(c_77735,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_2529]) ).

tcf(c_77737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_1476]) ).

tcf(c_77738,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_3134]) ).

tcf(c_77739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_34337,c_1461]) ).

tcf(c_77740,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34337,c_72]) ).

tcf(c_77742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X2,sK1) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34337,c_60]) ).

tcf(c_77743,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_68]) ).

tcf(c_77744,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_34337,c_67]) ).

tcf(c_77747,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_34337,c_1437]) ).

tcf(c_77748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_34337,c_62]) ).

tcf(c_77749,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK5(X0,X1,X2),sK1) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34337,c_1762]) ).

tcf(c_77750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK5(X0,X1,X2),sK1) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34337,c_1733]) ).

tcf(c_77791,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | lesseq(max(X2,X2),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_34337,c_1405]) ).

tcf(c_77792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | lesseq(max(X1,X1),X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_1496]) ).

tcf(c_77794,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34337,c_1390]) ).

tcf(c_77795,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34337,c_1376]) ).

tcf(c_77942,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_34338]) ).

tcf(c_77943,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ( max(sK1,X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34338,c_55]) ).

tcf(c_77946,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_28649]) ).

tcf(c_77947,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_28613]) ).

tcf(c_77950,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_27007]) ).

tcf(c_77951,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_26975]) ).

tcf(c_77952,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_26068]) ).

tcf(c_77953,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_24518]) ).

tcf(c_77955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_2529]) ).

tcf(c_77957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_1476]) ).

tcf(c_77958,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_3134]) ).

tcf(c_77959,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_34338,c_1461]) ).

tcf(c_77960,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34338,c_72]) ).

tcf(c_77962,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(sK1,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34338,c_60]) ).

tcf(c_77963,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_68]) ).

tcf(c_77964,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_34338,c_67]) ).

tcf(c_77967,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_34338,c_1437]) ).

tcf(c_77968,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_34338,c_62]) ).

tcf(c_77969,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34338,c_1762]) ).

tcf(c_77970,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_34338,c_1733]) ).

tcf(c_78011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | lesseq(max(X2,X2),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_34338,c_1405]) ).

tcf(c_78012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | lesseq(max(X1,X1),X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34338,c_1496]) ).

tcf(c_78014,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34338,c_1390]) ).

tcf(c_78015,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34338,c_1376]) ).

tcf(c_78321,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35183]) ).

tcf(c_78322,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(X0,X1) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35183]) ).

tcf(c_78323,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK2,max(X0,X1)) = sK2 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_35183]) ).

tcf(c_78326,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK2,max(X0,X1)) = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1439,c_35183]) ).

tcf(c_78328,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34820,c_35183]) ).

tcf(c_78332,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK0,sK1)) = sK2 )
    | ~ lesseq(sK1,sK1) ),
    inference(superposition,[status(thm)],[c_34803,c_35183]) ).

tcf(c_78334,plain,
    ( ( max(sK2,max(sK0,sK1)) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_37116,c_35183]) ).

tcf(c_78336,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | model_max(X2,X2,max(X0,X1))
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_35183]) ).

tcf(c_78337,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,max(X0,X1))
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_35183]) ).

tcf(c_78338,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_35183]) ).

tcf(c_78339,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_35183]) ).

tcf(c_78354,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_35183]) ).

tcf(c_78356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_35183]) ).

tcf(c_78364,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(sK2,max(X1,X0)) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1957,c_35183]) ).

tcf(c_78365,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(sK2,max(X1,X0)) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1581,c_35183]) ).

tcf(c_78367,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2109,c_35183]) ).

tcf(c_78368,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1586,c_35183]) ).

tcf(c_78370,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35183]) ).

tcf(c_78371,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35183]) ).

tcf(c_78372,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35183]) ).

tcf(c_78374,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35183]) ).

tcf(c_78375,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35183]) ).

tcf(c_78376,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35183]) ).

tcf(c_78381,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(X1,X0) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35183]) ).

tcf(c_78382,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35183]) ).

tcf(c_78386,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK0,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42309,c_35183]) ).

tcf(c_78387,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35183]) ).

tcf(c_78388,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2530,c_35183]) ).

tcf(c_78389,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_35183]) ).

tcf(c_78390,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_15524,c_35183]) ).

tcf(c_78391,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35183]) ).

tcf(c_78392,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2531,c_35183]) ).

tcf(c_78394,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK1,sK1,max(X1,X2))
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_35183]) ).

tcf(c_78395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_35183]) ).

tcf(c_78396,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_35183]) ).

tcf(c_78397,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(max(X0,sK1),sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2933,c_35183]) ).

tcf(c_78398,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34822,c_35183]) ).

tcf(c_78399,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK2,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_35183]) ).

tcf(c_78401,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK2,max(sK2,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_6987,c_35183]) ).

tcf(c_78403,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(max(sK1,X0),sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4543,c_35183]) ).

tcf(c_78411,plain,
    ( ( max(sK2,max(sK0,sK2)) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_25626,c_35183]) ).

tcf(c_78420,plain,
    ( ( max(sK2,max(sK2,sK0)) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_25544,c_35183]) ).

tcf(c_78422,plain,
    ( model_max(sK1,sK1,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK2,max(sK2,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_7482,c_35183]) ).

tcf(c_78423,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(sK2,max(sK2,sK0)) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_7477,c_35183]) ).

tcf(c_78424,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK2,max(sK2,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_7483,c_35183]) ).

tcf(c_78430,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,max(sK1,sK0)) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_47302,c_35183]) ).

tcf(c_78432,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42312,c_35183]) ).

tcf(c_78433,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40853,c_35183]) ).

tcf(c_78434,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(max(X0,sK1),sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_14507,c_35183]) ).

tcf(c_78435,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(max(sK1,X0),sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_14802,c_35183]) ).

tcf(c_78436,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(sK1,max(X0,sK1))) = sK2 ) ),
    inference(superposition,[status(thm)],[c_18019,c_35183]) ).

tcf(c_78437,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(sK1,max(X0,sK1))) = sK2 ) ),
    inference(superposition,[status(thm)],[c_15027,c_35183]) ).

tcf(c_78438,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(sK2,max(sK1,max(sK1,X0))) = sK2 ) ),
    inference(superposition,[status(thm)],[c_17780,c_35183]) ).

tcf(c_78439,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(sK2,max(sK1,max(sK1,X0))) = sK2 ) ),
    inference(superposition,[status(thm)],[c_18316,c_35183]) ).

tcf(c_78458,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(sK2,max(sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40735,c_35183]) ).

tcf(c_78459,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40768,c_35183]) ).

tcf(c_78460,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(sK2,max(sK2,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40739,c_35183]) ).

tcf(c_78461,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK2,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40765,c_35183]) ).

tcf(c_78467,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK2,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43159,c_35183]) ).

tcf(c_78474,plain,
    ( ( max(sK2,max(sK2,sK1)) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_24682,c_35183]) ).

tcf(c_78481,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43182,c_35183]) ).

tcf(c_78488,plain,
    ( ( max(sK2,max(sK1,sK2)) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_24824,c_35183]) ).

tcf(c_78492,plain,
    ( ( max(sK2,max(sK2,sK5(sK0,sK1,sK2))) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_31072,c_35183]) ).

tcf(c_78495,plain,
    ( ( max(sK2,max(sK5(sK0,sK1,sK2),sK2)) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_38453,c_35183]) ).

tcf(c_78499,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK5(sK0,sK1,sK1),sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42283,c_35183]) ).

tcf(c_78500,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK1,sK5(sK0,sK1,sK1))) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42310,c_35183]) ).

tcf(c_78502,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(light_normalisation,[status(thm)],[c_78488,c_24429]) ).

tcf(c_78548,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ~ lesseq(sK1,sK1) ),
    inference(light_normalisation,[status(thm)],[c_78332,c_40598]) ).

tcf(c_78563,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK1 )
    | ~ lesseq(sK0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_78423,c_25410]) ).

tcf(c_78564,plain,
    ( model_max(sK1,sK1,sK0)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_78422,c_25410]) ).

tcf(c_78576,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_78376,c_1375]) ).

tcf(c_78580,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_78375,c_1375]) ).

tcf(c_78585,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_78372,c_1375]) ).

tcf(c_78589,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_78371,c_1375]) ).

tcf(c_78839,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35184]) ).

tcf(c_78840,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35184]) ).

tcf(c_78841,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(max(X0,X1),sK2) = sK2 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_35184]) ).

tcf(c_78844,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK1,max(X0,X1)) = max(X0,X1) )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1439,c_35184]) ).

tcf(c_78846,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34820,c_35184]) ).

tcf(c_78850,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK0,sK1),sK2) = sK2 )
    | ~ lesseq(sK1,sK1) ),
    inference(superposition,[status(thm)],[c_34803,c_35184]) ).

tcf(c_78852,plain,
    ( ( max(max(sK0,sK1),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_37116,c_35184]) ).

tcf(c_78854,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | model_max(X2,X2,max(X0,X1))
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_35184]) ).

tcf(c_78855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X2,X2,max(X0,X1))
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_35184]) ).

tcf(c_78856,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_35184]) ).

tcf(c_78857,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,max(X0,X1))
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_35184]) ).

tcf(c_78872,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X1)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_35184]) ).

tcf(c_78874,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_35184]) ).

tcf(c_78882,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(max(X1,X0),sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1957,c_35184]) ).

tcf(c_78883,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(max(X1,X0),sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1581,c_35184]) ).

tcf(c_78885,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2109,c_35184]) ).

tcf(c_78886,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1586,c_35184]) ).

tcf(c_78888,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35184]) ).

tcf(c_78889,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35184]) ).

tcf(c_78890,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35184]) ).

tcf(c_78892,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35184]) ).

tcf(c_78893,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35184]) ).

tcf(c_78894,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35184]) ).

tcf(c_78899,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35184]) ).

tcf(c_78900,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35184]) ).

tcf(c_78904,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK0,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42309,c_35184]) ).

tcf(c_78905,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35184]) ).

tcf(c_78906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2530,c_35184]) ).

tcf(c_78907,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_35184]) ).

tcf(c_78908,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_15524,c_35184]) ).

tcf(c_78909,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35184]) ).

tcf(c_78910,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2531,c_35184]) ).

tcf(c_78912,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK1,sK1,max(X1,X2))
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_35184]) ).

tcf(c_78913,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK1,max(X1,X2))
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_35184]) ).

tcf(c_78914,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_35184]) ).

tcf(c_78915,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(max(X0,sK1),sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2933,c_35184]) ).

tcf(c_78916,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34822,c_35184]) ).

tcf(c_78917,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK2,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_35184]) ).

tcf(c_78919,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(max(sK2,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_6987,c_35184]) ).

tcf(c_78921,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(max(sK1,X0),sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4543,c_35184]) ).

tcf(c_78929,plain,
    ( ( max(max(sK0,sK2),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_25626,c_35184]) ).

tcf(c_78938,plain,
    ( ( max(max(sK2,sK0),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_25544,c_35184]) ).

tcf(c_78940,plain,
    ( model_max(sK1,sK1,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(max(sK2,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_7482,c_35184]) ).

tcf(c_78941,plain,
    ( ( max(sK1,sK0) = sK1 )
    | ( max(max(sK2,sK0),sK2) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_7477,c_35184]) ).

tcf(c_78942,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK0) = sK1 )
    | ( max(max(sK2,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_7483,c_35184]) ).

tcf(c_78948,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK1,sK0),sK2) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_47302,c_35184]) ).

tcf(c_78950,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42312,c_35184]) ).

tcf(c_78951,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40853,c_35184]) ).

tcf(c_78952,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(max(X0,sK1),sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_14507,c_35184]) ).

tcf(c_78953,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(max(sK1,X0),sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_14802,c_35184]) ).

tcf(c_78954,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(sK1,max(X0,sK1)),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_18019,c_35184]) ).

tcf(c_78955,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(sK1,max(X0,sK1)),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_15027,c_35184]) ).

tcf(c_78956,plain,
    ! [X0: $i] :
      ( ( max(sK1,X0) = X0 )
      | ( max(max(sK1,max(sK1,X0)),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_17780,c_35184]) ).

tcf(c_78957,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ( max(max(sK1,max(sK1,X0)),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_18316,c_35184]) ).

tcf(c_78976,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(max(sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40735,c_35184]) ).

tcf(c_78977,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40768,c_35184]) ).

tcf(c_78978,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(max(sK2,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40739,c_35184]) ).

tcf(c_78979,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK2,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40765,c_35184]) ).

tcf(c_78985,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK2,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43159,c_35184]) ).

tcf(c_78992,plain,
    ( ( max(max(sK2,sK1),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_24682,c_35184]) ).

tcf(c_78999,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_43182,c_35184]) ).

tcf(c_79006,plain,
    ( ( max(max(sK1,sK2),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_24824,c_35184]) ).

tcf(c_79010,plain,
    ( ( max(max(sK2,sK5(sK0,sK1,sK2)),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_31072,c_35184]) ).

tcf(c_79013,plain,
    ( ( max(max(sK5(sK0,sK1,sK2),sK2),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_38453,c_35184]) ).

tcf(c_79017,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK5(sK0,sK1,sK1),sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42283,c_35184]) ).

tcf(c_79018,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK5(sK0,sK1,sK1)),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42310,c_35184]) ).

tcf(c_79094,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_78894,c_1375]) ).

tcf(c_79098,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_78893,c_1375]) ).

tcf(c_79102,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_78892,c_1375]) ).

tcf(c_79106,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,X1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_78890,c_1375]) ).

tcf(c_79110,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,sK1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_78889,c_1375]) ).

tcf(c_79729,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_54804]) ).

tcf(c_79747,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_54804]) ).

tcf(c_79748,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_54804]) ).

tcf(c_79749,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_54804]) ).

tcf(c_79750,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_54804]) ).

tcf(c_79751,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_54804]) ).

tcf(c_79752,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_54804]) ).

tcf(c_79753,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_54804]) ).

tcf(c_79754,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_54804]) ).

tcf(c_79755,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_54804]) ).

tcf(c_79756,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_54804]) ).

tcf(c_79757,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_54804]) ).

tcf(c_79764,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,X0)
      | model_max(X1,X1,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_54804]) ).

tcf(c_79772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(max(X0,X1),max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_54804]) ).

tcf(c_79773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(max(X0,X1),max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_54804]) ).

tcf(c_79774,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(max(X0,X1),max(X0,X1),sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_54804]) ).

tcf(c_79775,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_54804]) ).

tcf(c_79778,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_54804]) ).

tcf(c_79779,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_54804]) ).

tcf(c_79780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),sK2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_54804]) ).

tcf(c_79781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_54804]) ).

tcf(c_79797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,X2)
      | model_max(X3,X3,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_54804]) ).

tcf(c_79798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_54804]) ).

tcf(c_79814,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK2,sK2,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_54804]) ).

tcf(c_79842,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(max(X1,X0),max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_54804]) ).

tcf(c_79843,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(max(X1,X0),max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_54804]) ).

tcf(c_79852,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | lesseq(sK1,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_54804]) ).

tcf(c_79853,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(sK1,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_54804]) ).

tcf(c_79854,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(sK1,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_54804]) ).

tcf(c_79855,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | lesseq(sK1,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_54804]) ).

tcf(c_80166,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_58106,c_29276]) ).

tcf(c_80167,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_58106,c_28039]) ).

tcf(c_80173,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK2,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_58106,c_1405]) ).

tcf(c_80174,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK2,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_58106,c_1496]) ).

tcf(c_80176,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_58106,c_1390]) ).

tcf(c_80177,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_58106,c_1376]) ).

tcf(c_80178,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK2,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_58106,c_35184]) ).

tcf(c_80179,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK2,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_58106,c_35183]) ).

tcf(c_80201,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_58899,c_29276]) ).

tcf(c_80202,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_58899,c_28039]) ).

tcf(c_80208,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | lesseq(max(sK0,sK2),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_58899,c_1405]) ).

tcf(c_80209,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_58899,c_1496]) ).

tcf(c_80211,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_58899,c_1390]) ).

tcf(c_80212,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_58899,c_1376]) ).

tcf(c_80213,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK0,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_58899,c_35184]) ).

tcf(c_80214,plain,
    ( lesseq(sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK0,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_58899,c_35183]) ).

tcf(c_80249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_65553]) ).

tcf(c_80267,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_65553]) ).

tcf(c_80268,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_65553]) ).

tcf(c_80269,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_65553]) ).

tcf(c_80270,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_65553]) ).

tcf(c_80271,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_65553]) ).

tcf(c_80272,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_65553]) ).

tcf(c_80273,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_65553]) ).

tcf(c_80274,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_65553]) ).

tcf(c_80275,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_65553]) ).

tcf(c_80276,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_65553]) ).

tcf(c_80277,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_65553]) ).

tcf(c_80284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,X0)
      | model_max(X1,X1,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_65553]) ).

tcf(c_80292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(max(X0,X1),max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_65553]) ).

tcf(c_80293,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(max(X0,X1),max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_65553]) ).

tcf(c_80294,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(max(X0,X1),max(X0,X1),sK2)
      | ~ model_max(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_63,c_65553]) ).

tcf(c_80295,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_66,c_65553]) ).

tcf(c_80298,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X1,sK2)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1652,c_65553]) ).

tcf(c_80299,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1653,c_65553]) ).

tcf(c_80300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),sK2)
      | ~ lesseq(X2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_65553]) ).

tcf(c_80301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_65553]) ).

tcf(c_80305,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK2,sK2,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40638,c_65553]) ).

tcf(c_80306,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK2,sK2,sK2)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_65553]) ).

tcf(c_80317,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,X2)
      | model_max(X3,X3,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_65553]) ).

tcf(c_80318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_65553]) ).

tcf(c_80334,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK2,sK2,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_65553]) ).

tcf(c_80335,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK2,sK2,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40829,c_65553]) ).

tcf(c_80362,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(max(X1,X0),max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_65553]) ).

tcf(c_80363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(max(X1,X0),max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_65553]) ).

tcf(c_80372,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_65553]) ).

tcf(c_80373,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(sK0,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_10774,c_65553]) ).

tcf(c_80374,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_12029,c_65553]) ).

tcf(c_80375,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | lesseq(sK0,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_65553]) ).

tcf(c_80872,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK1,X1)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_67882]) ).

tcf(c_80876,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_67882]) ).

tcf(c_80882,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X0,X1),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_67882]) ).

tcf(c_80883,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X0,X1),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_67882]) ).

tcf(c_80884,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X0,X1),sK0)
      | ( sK1 = sK2 )
      | ~ model_max(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_63,c_67882]) ).

tcf(c_80885,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK5(X0,X1,sK1),sK0)
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_66,c_67882]) ).

tcf(c_80886,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_67882]) ).

tcf(c_80888,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK5(X0,X1,X2),sK0)
      | ( sK1 = sK2 )
      | ~ lesseq(X2,sK1)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_67882]) ).

tcf(c_80889,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK5(X0,X1,X2),sK0)
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_67882]) ).

tcf(c_80893,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_67882]) ).

tcf(c_80898,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(sK1,sK1,X2)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_67882]) ).

tcf(c_80899,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_67882]) ).

tcf(c_80901,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_67882]) ).

tcf(c_80915,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(X1,X0),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_67882]) ).

tcf(c_80916,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(X1,X0),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_67882]) ).

tcf(c_81049,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK0,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_70938,c_29276]) ).

tcf(c_81050,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | lesseq(max(sK0,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_70938,c_28039]) ).

tcf(c_81056,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,sK1),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_70938,c_1405]) ).

tcf(c_81057,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK0,sK1),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_70938,c_1496]) ).

tcf(c_81059,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_70938,c_1390]) ).

tcf(c_81060,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_70938,c_1376]) ).

tcf(c_81086,plain,
    ! [X0: $i] :
      ( lesseq(max(sK5(sK0,sK1,sK1),sK1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_75177,c_1405]) ).

tcf(c_81087,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK5(sK0,sK1,sK1),sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_75177,c_1496]) ).

tcf(c_81110,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK5(sK0,sK1,sK1)),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_75308,c_1405]) ).

tcf(c_81111,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK1,sK5(sK0,sK1,sK1)),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_75308,c_1496]) ).

tcf(c_81137,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | minsol_model_ub(X0,X1,max(sK1,sK0))
      | lesseq(sK4(X0,X1,max(sK1,sK0)),sK2)
      | ~ model_ub(X0,X1,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_77484,c_55]) ).

tcf(c_81143,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77484,c_28613]) ).

tcf(c_81147,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77484,c_26975]) ).

tcf(c_81150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77484,c_2536]) ).

tcf(c_81151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77484,c_2529]) ).

tcf(c_81152,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77484,c_1530]) ).

tcf(c_81153,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_77484,c_1476]) ).

tcf(c_81154,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_77484,c_3134]) ).

tcf(c_81155,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_77484,c_1461]) ).

tcf(c_81156,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_77484,c_72]) ).

tcf(c_81234,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_2536]) ).

tcf(c_81235,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_2529]) ).

tcf(c_81236,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_1530]) ).

tcf(c_81237,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(X0,sK1) = X0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_1476]) ).

tcf(c_81238,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK1,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_3134]) ).

tcf(c_81239,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,X0) = X0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_1461]) ).

tcf(c_81240,plain,
    ( ( sK0 = sK1 )
    | ( max(sK2,max(sK1,sK0)) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_77486,c_72]) ).

tcf(c_81241,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_1402]) ).

tcf(c_81242,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_77486,c_60]) ).

tcf(c_81243,plain,
    ( ( max(sK0,sK1) = sK0 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_68]) ).

tcf(c_81244,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77486,c_67]) ).

tcf(c_81290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37376]) ).

tcf(c_81303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_2536]) ).

tcf(c_81304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_2529]) ).

tcf(c_81305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_1530]) ).

tcf(c_81306,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_1476]) ).

tcf(c_81307,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_3134]) ).

tcf(c_81308,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_1461]) ).

tcf(c_81309,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37376,c_72]) ).

tcf(c_81311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37376,c_60]) ).

tcf(c_81312,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_68]) ).

tcf(c_81313,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_67]) ).

tcf(c_81316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK0,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37376,c_1437]) ).

tcf(c_81317,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37376,c_62]) ).

tcf(c_81318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37376,c_1762]) ).

tcf(c_81319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37376,c_1733]) ).

tcf(c_81322,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_30011]) ).

tcf(c_81323,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_28846]) ).

tcf(c_81329,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_27323]) ).

tcf(c_81330,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_27204]) ).

tcf(c_81336,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_37376,c_36424]) ).

tcf(c_81339,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_40634]) ).

tcf(c_81341,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_6991]) ).

tcf(c_81344,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_29276]) ).

tcf(c_81345,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_28039]) ).

tcf(c_81347,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK0,sK0) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_2108]) ).

tcf(c_81351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK0,sK0),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37376,c_1405]) ).

tcf(c_81352,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | lesseq(max(sK0,sK0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_1496]) ).

tcf(c_81354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_1390]) ).

tcf(c_81355,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_1376]) ).

tcf(c_81529,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37377]) ).

tcf(c_81542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_2536]) ).

tcf(c_81543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_2529]) ).

tcf(c_81544,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_1530]) ).

tcf(c_81545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_1476]) ).

tcf(c_81546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_3134]) ).

tcf(c_81547,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_1461]) ).

tcf(c_81548,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37377,c_72]) ).

tcf(c_81550,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK0,X1)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37377,c_60]) ).

tcf(c_81551,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_68]) ).

tcf(c_81552,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_67]) ).

tcf(c_81555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_37377,c_1437]) ).

tcf(c_81556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_37377,c_62]) ).

tcf(c_81557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37377,c_1762]) ).

tcf(c_81558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37377,c_1733]) ).

tcf(c_81561,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37377,c_30011]) ).

tcf(c_81562,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37377,c_28846]) ).

tcf(c_81568,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37377,c_27323]) ).

tcf(c_81569,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37377,c_27204]) ).

tcf(c_81575,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_37377,c_36424]) ).

tcf(c_81578,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37377,c_40634]) ).

tcf(c_81580,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37377,c_6991]) ).

tcf(c_81583,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_29276]) ).

tcf(c_81584,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK0,sK0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_28039]) ).

tcf(c_81586,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(sK0,sK0) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_2108]) ).

tcf(c_81590,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK0,sK0),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37377,c_1405]) ).

tcf(c_81591,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(sK0,sK0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_1496]) ).

tcf(c_81593,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37377,c_1390]) ).

tcf(c_81594,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37377,c_1376]) ).

tcf(c_81969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_37379]) ).

tcf(c_81970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_37379]) ).

tcf(c_81971,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_37379]) ).

tcf(c_81972,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_37379]) ).

tcf(c_81975,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_37379]) ).

tcf(c_81976,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_37379]) ).

tcf(c_81977,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_37379]) ).

tcf(c_81978,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_37379]) ).

tcf(c_81979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_37379]) ).

tcf(c_81980,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_37379]) ).

tcf(c_81981,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_37379]) ).

tcf(c_81982,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_37379]) ).

tcf(c_81983,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_37379]) ).

tcf(c_81984,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_37379]) ).

tcf(c_81985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_37379]) ).

tcf(c_81986,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_37379]) ).

tcf(c_81999,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_37379]) ).

tcf(c_82000,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_37379]) ).

tcf(c_82004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37379,c_29276]) ).

tcf(c_82005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37379,c_28039]) ).

tcf(c_82007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37379,c_2108]) ).

tcf(c_82008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37379,c_1956]) ).

tcf(c_82009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37379,c_1585]) ).

tcf(c_82010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37379,c_1580]) ).

tcf(c_82011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(X2,X3),X1)
      | model_max(sK0,sK0,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37379,c_1405]) ).

tcf(c_82012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | model_max(sK0,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37379,c_1496]) ).

tcf(c_82014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37379,c_1390]) ).

tcf(c_82015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK0,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_37379,c_1376]) ).

tcf(c_82017,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_37379,c_40730]) ).

tcf(c_82019,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_37379,c_1413]) ).

tcf(c_82023,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_37379,c_25625]) ).

tcf(c_82024,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_37379,c_25543]) ).

tcf(c_82029,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_37379,c_24681]) ).

tcf(c_82030,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_37379,c_24823]) ).

tcf(c_82031,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_37379,c_31071]) ).

tcf(c_82032,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_37379,c_38452]) ).

tcf(c_82034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK0,sK0),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37379,c_29276]) ).

tcf(c_82035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK0,sK0),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37379,c_28039]) ).

tcf(c_82041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | lesseq(max(sK0,sK0),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_37379,c_1405]) ).

tcf(c_82042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(max(sK0,sK0),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37379,c_1496]) ).

tcf(c_82044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),max(sK0,sK0)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37379,c_1390]) ).

tcf(c_82045,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(sK0,sK0),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37379,c_1376]) ).

tcf(c_82047,plain,
    ( lesseq(max(sK0,sK0),sK2)
    | model_max(sK0,sK0,max(sK0,sK0)) ),
    inference(equality_factoring,[status(thm)],[c_37379]) ).

tcf(c_82049,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_82030,c_24429]) ).

tcf(c_82429,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_2536]) ).

tcf(c_82430,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_2529]) ).

tcf(c_82431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_1530]) ).

tcf(c_82432,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(X0,sK1) = X0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_1476]) ).

tcf(c_82433,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK1,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_3134]) ).

tcf(c_82434,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,X0) = X0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_1461]) ).

tcf(c_82435,plain,
    ( ( sK0 = sK1 )
    | ( max(max(sK1,sK0),sK2) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_77487,c_72]) ).

tcf(c_82436,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_1402]) ).

tcf(c_82437,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_77487,c_60]) ).

tcf(c_82438,plain,
    ( ( max(sK0,sK1) = sK0 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_68]) ).

tcf(c_82439,plain,
    ( ( max(sK1,sK0) = sK0 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_77487,c_67]) ).

tcf(c_82507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK4(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_56,c_23745]) ).

tcf(c_82520,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK4(X0,X1,X2),X3) ),
    inference(superposition,[status(thm)],[c_56,c_24106]) ).

tcf(c_82552,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X0 = sK2 )
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24513,c_72]) ).

tcf(c_82554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24513,c_60]) ).

tcf(c_82565,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_30011]) ).

tcf(c_82566,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_28846]) ).

tcf(c_82572,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_27323]) ).

tcf(c_82573,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_27204]) ).

tcf(c_82579,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24513,c_36424]) ).

tcf(c_82586,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ( max(X2,sK1) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24513,c_55]) ).

tcf(c_82591,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_28649]) ).

tcf(c_82595,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_27007]) ).

tcf(c_82600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_2529]) ).

tcf(c_82602,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24513,c_1476]) ).

tcf(c_82604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK1) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24513,c_1461]) ).

tcf(c_82605,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = X1 )
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24513,c_72]) ).

tcf(c_82607,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(X2,sK1) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24513,c_60]) ).

tcf(c_82612,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24513,c_1437]) ).

tcf(c_82614,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | ( max(sK5(X0,X1,X2),sK1) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24513,c_1762]) ).

tcf(c_82615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | ( max(sK5(X0,X1,X2),sK1) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24513,c_1733]) ).

tcf(c_82914,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X0 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24515,c_72]) ).

tcf(c_82916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24515,c_60]) ).

tcf(c_82927,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24515,c_30011]) ).

tcf(c_82928,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24515,c_28846]) ).

tcf(c_82934,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24515,c_27323]) ).

tcf(c_82941,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24515,c_36424]) ).

tcf(c_82948,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ( max(sK1,X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24515,c_55]) ).

tcf(c_82953,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24515,c_28649]) ).

tcf(c_82957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24515,c_27007]) ).

tcf(c_82962,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24515,c_2529]) ).

tcf(c_82964,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24515,c_1476]) ).

tcf(c_82966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24515,c_1461]) ).

tcf(c_82967,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = X1 )
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24515,c_72]) ).

tcf(c_82969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(sK1,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24515,c_60]) ).

tcf(c_82974,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24515,c_1437]) ).

tcf(c_82976,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24515,c_1762]) ).

tcf(c_82977,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24515,c_1733]) ).

tcf(c_83194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),X2)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_24523,c_55]) ).

tcf(c_83208,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X4,X1)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | lesseq(X0,X4)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24523,c_2529]) ).

tcf(c_83213,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( X0 = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24523,c_72]) ).

tcf(c_83215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_60]) ).

tcf(c_83239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_2536]) ).

tcf(c_83245,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24523,c_72]) ).

tcf(c_83247,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24523,c_60]) ).

tcf(c_83258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30011]) ).

tcf(c_83259,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24523,c_28846]) ).

tcf(c_83272,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24523,c_36424]) ).

tcf(c_83279,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24523,c_55]) ).

tcf(c_83282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30311]) ).

tcf(c_83283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30230]) ).

tcf(c_83284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_28649]) ).

tcf(c_83285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X3)
      | lesseq(X3,sK2)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_28613]) ).

tcf(c_83286,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_27640]) ).

tcf(c_83287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_27550]) ).

tcf(c_83292,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_2536]) ).

tcf(c_83293,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_2529]) ).

tcf(c_83295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(X2,X1)
      | lesseq(X0,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24523,c_1476]) ).

tcf(c_83297,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24523,c_1461]) ).

tcf(c_83298,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_72]) ).

tcf(c_83300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_60]) ).

tcf(c_83303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X3)
      | lesseq(X3,sK2)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24523,c_30546]) ).

tcf(c_83304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24523,c_27794]) ).

tcf(c_83315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_28627]) ).

tcf(c_83320,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_26986]) ).

tcf(c_83341,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30167]) ).

tcf(c_83342,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24523,c_55]) ).

tcf(c_83345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30311]) ).

tcf(c_83346,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30230]) ).

tcf(c_83347,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_28649]) ).

tcf(c_83348,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_28613]) ).

tcf(c_83349,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_27640]) ).

tcf(c_83350,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_27550]) ).

tcf(c_83351,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_27007]) ).

tcf(c_83352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_26975]) ).

tcf(c_83356,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X4,X2)
      | lesseq(X2,X3)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_2529]) ).

tcf(c_83357,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_1530]) ).

tcf(c_83361,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_72]) ).

tcf(c_83363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_60]) ).

tcf(c_83882,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24524]) ).

tcf(c_83883,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | ( max(X2,sK4(X0,X1,sK1)) = X2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_24524,c_55]) ).

tcf(c_83889,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_28613]) ).

tcf(c_83896,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_2536]) ).

tcf(c_83897,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(sK1,sK1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_2529]) ).

tcf(c_83902,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( X0 = sK1 )
      | ( max(X1,X0) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24524,c_72]) ).

tcf(c_83904,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24524,c_60]) ).

tcf(c_83907,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_40843]) ).

tcf(c_83908,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_34831]) ).

tcf(c_83920,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_28649]) ).

tcf(c_83924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_27007]) ).

tcf(c_83928,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_2536]) ).

tcf(c_83931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_1476]) ).

tcf(c_83933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_1461]) ).

tcf(c_83934,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24524,c_72]) ).

tcf(c_83936,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,X0)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24524,c_60]) ).

tcf(c_83941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_24524,c_1437]) ).

tcf(c_83943,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X0,sK2)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24524,c_1762]) ).

tcf(c_83944,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24524,c_1733]) ).

tcf(c_83945,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24524,c_37115]) ).

tcf(c_83946,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24524,c_66446]) ).

tcf(c_83947,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_30011]) ).

tcf(c_83948,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_28846]) ).

tcf(c_83949,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24524,c_25619]) ).

tcf(c_83950,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24524,c_25537]) ).

tcf(c_83954,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_27323]) ).

tcf(c_83955,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_27204]) ).

tcf(c_83961,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24524,c_36424]) ).

tcf(c_83962,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24524,c_40843]) ).

tcf(c_83966,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_6991]) ).

tcf(c_84317,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24526]) ).

tcf(c_84318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | ( max(sK4(X0,X1,sK1),X2) = X2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_24526,c_55]) ).

tcf(c_84324,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_28613]) ).

tcf(c_84331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_2536]) ).

tcf(c_84332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK1,sK1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_2529]) ).

tcf(c_84337,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( X0 = sK1 )
      | ( max(X0,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24526,c_72]) ).

tcf(c_84339,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24526,c_60]) ).

tcf(c_84342,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_40843]) ).

tcf(c_84343,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_34831]) ).

tcf(c_84355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_28649]) ).

tcf(c_84359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_27007]) ).

tcf(c_84363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_2536]) ).

tcf(c_84366,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_1476]) ).

tcf(c_84368,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_1461]) ).

tcf(c_84369,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24526,c_72]) ).

tcf(c_84371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24526,c_60]) ).

tcf(c_84376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_24526,c_1437]) ).

tcf(c_84378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X0,sK2)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24526,c_1762]) ).

tcf(c_84379,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X1,sK2)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_24526,c_1733]) ).

tcf(c_84380,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_37115]) ).

tcf(c_84381,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_66446]) ).

tcf(c_84382,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_30011]) ).

tcf(c_84383,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_28846]) ).

tcf(c_84384,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_25619]) ).

tcf(c_84385,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_25537]) ).

tcf(c_84389,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_27323]) ).

tcf(c_84390,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24526,c_27204]) ).

tcf(c_84396,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24526,c_36424]) ).

tcf(c_84397,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_40843]) ).

tcf(c_84401,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24526,c_6991]) ).

tcf(c_84666,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24532]) ).

tcf(c_84667,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_24532]) ).

tcf(c_84668,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_24532]) ).

tcf(c_84669,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_24532]) ).

tcf(c_84674,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_24532]) ).

tcf(c_84675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_24532]) ).

tcf(c_84676,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_24532]) ).

tcf(c_84677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_24532]) ).

tcf(c_84678,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_24532]) ).

tcf(c_84679,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_24532]) ).

tcf(c_84680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_24532]) ).

tcf(c_84681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_24532]) ).

tcf(c_84682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_24532]) ).

tcf(c_84683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_24532]) ).

tcf(c_84696,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_24532]) ).

tcf(c_84697,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_24532]) ).

tcf(c_84701,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(sK1,max(X0,X1))
      | lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_24532,c_29276]) ).

tcf(c_84702,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(sK1,max(X0,X1))
      | lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_24532,c_28039]) ).

tcf(c_84708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK1,max(X2,X3))
      | lesseq(max(X2,X3),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24532,c_1405]) ).

tcf(c_84709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(sK1,max(X0,X1))
      | lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_24532,c_1496]) ).

tcf(c_84711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24532,c_1390]) ).

tcf(c_84712,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(sK1,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_24532,c_1376]) ).

tcf(c_84714,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_24532,c_40730]) ).

tcf(c_84716,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(sK1,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_24532,c_1413]) ).

tcf(c_84720,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_24532,c_25625]) ).

tcf(c_84721,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_24532,c_25543]) ).

tcf(c_84726,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_24532,c_24681]) ).

tcf(c_84727,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_24532,c_24823]) ).

tcf(c_84728,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_24532,c_31071]) ).

tcf(c_84729,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_24532,c_38452]) ).

tcf(c_84742,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X4)
      | lesseq(X3,sK2)
      | model_max(X4,X4,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24532,c_2536]) ).

tcf(c_84743,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X4,X0)
      | model_max(sK1,sK1,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_24532,c_2529]) ).

tcf(c_84748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK1 )
      | ~ lesseq(max(X0,X1),sK1) ),
    inference(superposition,[status(thm)],[c_24532,c_72]) ).

tcf(c_84750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_24532,c_60]) ).

tcf(c_84755,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK2)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_84727,c_24429]) ).

tcf(c_84913,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24694]) ).

tcf(c_84918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24694,c_2108]) ).

tcf(c_84920,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24694,c_1585]) ).

tcf(c_84922,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24694,c_1405]) ).

tcf(c_84923,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_24694,c_1496]) ).

tcf(c_84925,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24694,c_1390]) ).

tcf(c_84926,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24694,c_1376]) ).

tcf(c_84939,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24694,c_1405]) ).

tcf(c_84940,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK1,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24694,c_1496]) ).

tcf(c_84941,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24694,c_3116]) ).

tcf(c_84942,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24694,c_1390]) ).

tcf(c_84943,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24694,c_1376]) ).

tcf(c_84946,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24694,c_29276]) ).

tcf(c_84947,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24694,c_28039]) ).

tcf(c_84953,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24694,c_1405]) ).

tcf(c_84954,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK1,X0)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24694,c_1496]) ).

tcf(c_84956,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24694,c_1390]) ).

tcf(c_84957,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24694,c_1376]) ).

tcf(c_84976,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_84943,c_1375]) ).

tcf(c_84980,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_84942,c_1375]) ).

tcf(c_84985,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_84926,c_24428]) ).

tcf(c_84989,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_84925,c_24428]) ).

tcf(c_84993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_84923,c_24428]) ).

tcf(c_85010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_84922,c_24428]) ).

tcf(c_85015,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_84920,c_24428]) ).

tcf(c_85152,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_24836]) ).

tcf(c_85161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24836,c_1405]) ).

tcf(c_85162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_24836,c_1496]) ).

tcf(c_85164,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24836,c_1390]) ).

tcf(c_85165,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24836,c_1376]) ).

tcf(c_85178,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_24836,c_1405]) ).

tcf(c_85179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK2,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24836,c_1496]) ).

tcf(c_85180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_24836,c_3116]) ).

tcf(c_85181,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24836,c_1390]) ).

tcf(c_85182,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24836,c_1376]) ).

tcf(c_85185,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24836,c_29276]) ).

tcf(c_85186,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_24836,c_28039]) ).

tcf(c_85192,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24836,c_1405]) ).

tcf(c_85193,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK2,X0)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_24836,c_1496]) ).

tcf(c_85195,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_24836,c_1390]) ).

tcf(c_85196,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24836,c_1376]) ).

tcf(c_85215,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_85182,c_1375]) ).

tcf(c_85219,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_85181,c_1375]) ).

tcf(c_85248,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37864]) ).

tcf(c_85249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK2,sK4(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37864,c_55]) ).

tcf(c_85250,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_65553]) ).

tcf(c_85251,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_54804]) ).

tcf(c_85252,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_30311]) ).

tcf(c_85253,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_30230]) ).

tcf(c_85254,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_28649]) ).

tcf(c_85255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_28613]) ).

tcf(c_85256,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_27640]) ).

tcf(c_85257,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_27550]) ).

tcf(c_85258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_27007]) ).

tcf(c_85259,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_26975]) ).

tcf(c_85260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_26068]) ).

tcf(c_85262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_2536]) ).

tcf(c_85263,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_2529]) ).

tcf(c_85264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1530]) ).

tcf(c_85265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1476]) ).

tcf(c_85266,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_3134]) ).

tcf(c_85267,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1461]) ).

tcf(c_85268,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | ( X0 = X1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37864,c_72]) ).

tcf(c_85270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37864,c_60]) ).

tcf(c_85271,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37864,c_68]) ).

tcf(c_85272,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37864,c_67]) ).

tcf(c_85273,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_30546]) ).

tcf(c_85274,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_27794]) ).

tcf(c_85275,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1437]) ).

tcf(c_85276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_62]) ).

tcf(c_85277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37864,c_1762]) ).

tcf(c_85278,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37864,c_1733]) ).

tcf(c_85298,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_40843]) ).

tcf(c_85299,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_34831]) ).

tcf(c_85311,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_30167]) ).

tcf(c_85313,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_29276]) ).

tcf(c_85314,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_28039]) ).

tcf(c_85316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_2108]) ).

tcf(c_85318,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,sK0) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1585]) ).

tcf(c_85320,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37864,c_1405]) ).

tcf(c_85321,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK2,sK0),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1496]) ).

tcf(c_85323,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1390]) ).

tcf(c_85324,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37864,c_1376]) ).

tcf(c_85329,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_7476]) ).

tcf(c_85381,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_85318,c_25410]) ).

tcf(c_85770,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37865]) ).

tcf(c_85771,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37865,c_55]) ).

tcf(c_85772,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_65553]) ).

tcf(c_85773,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_54804]) ).

tcf(c_85774,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_30311]) ).

tcf(c_85775,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_30230]) ).

tcf(c_85776,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_28649]) ).

tcf(c_85777,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_28613]) ).

tcf(c_85778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_27640]) ).

tcf(c_85779,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_27550]) ).

tcf(c_85780,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_27007]) ).

tcf(c_85781,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_26975]) ).

tcf(c_85782,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_26068]) ).

tcf(c_85784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_2536]) ).

tcf(c_85785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_2529]) ).

tcf(c_85786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1530]) ).

tcf(c_85787,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK2,sK0,X1)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1476]) ).

tcf(c_85788,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_3134]) ).

tcf(c_85789,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1461]) ).

tcf(c_85790,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | ( X0 = X1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37865,c_72]) ).

tcf(c_85792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37865,c_60]) ).

tcf(c_85793,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37865,c_68]) ).

tcf(c_85794,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37865,c_67]) ).

tcf(c_85795,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_30546]) ).

tcf(c_85796,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_27794]) ).

tcf(c_85797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1437]) ).

tcf(c_85798,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_62]) ).

tcf(c_85799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37865,c_1762]) ).

tcf(c_85800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37865,c_1733]) ).

tcf(c_85820,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_40843]) ).

tcf(c_85821,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_34831]) ).

tcf(c_85833,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_30167]) ).

tcf(c_85835,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_29276]) ).

tcf(c_85836,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_28039]) ).

tcf(c_85838,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_2108]) ).

tcf(c_85840,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,sK0) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1585]) ).

tcf(c_85842,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK2,sK0),X1)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37865,c_1405]) ).

tcf(c_85843,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK2,sK0),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1496]) ).

tcf(c_85845,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1390]) ).

tcf(c_85846,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37865,c_1376]) ).

tcf(c_85851,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_7476]) ).

tcf(c_85903,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_85840,c_25410]) ).

tcf(c_86731,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_37867]) ).

tcf(c_86732,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_37867]) ).

tcf(c_86733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_37867]) ).

tcf(c_86734,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_37867]) ).

tcf(c_86737,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_37867]) ).

tcf(c_86738,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_37867]) ).

tcf(c_86739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_37867]) ).

tcf(c_86740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_37867]) ).

tcf(c_86741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_37867]) ).

tcf(c_86742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_37867]) ).

tcf(c_86743,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_37867]) ).

tcf(c_86744,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_37867]) ).

tcf(c_86745,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_37867]) ).

tcf(c_86746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_37867]) ).

tcf(c_86747,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK2,sK0,X2)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_37867]) ).

tcf(c_86748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X2)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_37867]) ).

tcf(c_86761,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_37867]) ).

tcf(c_86762,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_37867]) ).

tcf(c_86767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37867,c_30311]) ).

tcf(c_86768,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37867,c_30230]) ).

tcf(c_86769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37867,c_28649]) ).

tcf(c_86771,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37867,c_27640]) ).

tcf(c_86772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37867,c_27550]) ).

tcf(c_86773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37867,c_27007]) ).

tcf(c_86777,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(sK2,sK0,X4)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37867,c_2536]) ).

tcf(c_86778,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37867,c_2529]) ).

tcf(c_86779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(sK2,sK0,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37867,c_1530]) ).

tcf(c_86780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37867,c_1476]) ).

tcf(c_86781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK0,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37867,c_3134]) ).

tcf(c_86782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37867,c_1461]) ).

tcf(c_86783,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_37867,c_72]) ).

tcf(c_86785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK2,sK0,X3)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_37867,c_60]) ).

tcf(c_86786,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37867,c_68]) ).

tcf(c_86787,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_37867,c_67]) ).

tcf(c_86788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK0,max(X2,X3))
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37867,c_30546]) ).

tcf(c_86789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,X3))
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37867,c_27794]) ).

tcf(c_86790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | model_max(X0,X1,X2)
      | lesseq(X2,max(X3,X4))
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37867,c_1437]) ).

tcf(c_86791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(sK2,sK0,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_37867,c_62]) ).

tcf(c_86792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X0,max(X3,X4))
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37867,c_1762]) ).

tcf(c_86793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X1,max(X3,X4))
      | model_max(sK2,sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37867,c_1733]) ).

tcf(c_86815,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37867,c_6991]) ).

tcf(c_87169,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK2,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37890]) ).

tcf(c_87170,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37890]) ).

tcf(c_87183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK0,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_2536]) ).

tcf(c_87184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_2529]) ).

tcf(c_87185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_1530]) ).

tcf(c_87186,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_1476]) ).

tcf(c_87187,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_3134]) ).

tcf(c_87188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_1461]) ).

tcf(c_87189,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37890,c_72]) ).

tcf(c_87191,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37890,c_60]) ).

tcf(c_87196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK2,sK0,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37890,c_1437]) ).

tcf(c_87198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37890,c_1762]) ).

tcf(c_87199,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37890,c_1733]) ).

tcf(c_87200,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37890,c_37115]) ).

tcf(c_87201,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37890,c_66446]) ).

tcf(c_87202,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_30011]) ).

tcf(c_87203,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_28846]) ).

tcf(c_87204,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37890,c_25619]) ).

tcf(c_87207,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37890,c_24817]) ).

tcf(c_87209,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_27323]) ).

tcf(c_87210,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_27204]) ).

tcf(c_87216,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_37890,c_36424]) ).

tcf(c_87217,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37890,c_40843]) ).

tcf(c_87219,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_40634]) ).

tcf(c_87224,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_29276]) ).

tcf(c_87225,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_28039]) ).

tcf(c_87227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_2108]) ).

tcf(c_87229,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,sK0) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_1585]) ).

tcf(c_87231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK2,sK0),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37890,c_1405]) ).

tcf(c_87232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | lesseq(max(sK2,sK0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_1496]) ).

tcf(c_87234,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_1390]) ).

tcf(c_87235,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_1376]) ).

tcf(c_87240,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_7476]) ).

tcf(c_87412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),X2)
      | ( max(sK2,X2) = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_25009,c_55]) ).

tcf(c_87426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK1,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_2529]) ).

tcf(c_87431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X0 = sK1 )
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25009,c_72]) ).

tcf(c_87433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25009,c_60]) ).

tcf(c_87437,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_34831]) ).

tcf(c_87445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK2,sK4(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25009,c_55]) ).

tcf(c_87448,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_30311]) ).

tcf(c_87449,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_30230]) ).

tcf(c_87450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_28649]) ).

tcf(c_87451,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_28613]) ).

tcf(c_87452,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_27640]) ).

tcf(c_87453,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_27550]) ).

tcf(c_87464,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( X0 = X1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25009,c_72]) ).

tcf(c_87466,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25009,c_60]) ).

tcf(c_87469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_30546]) ).

tcf(c_87470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_27794]) ).

tcf(c_87584,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),X2)
      | ( max(X2,sK2) = sK2 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_25015,c_55]) ).

tcf(c_87598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK1,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_2529]) ).

tcf(c_87603,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X0 = sK1 )
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25015,c_72]) ).

tcf(c_87605,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,X2)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25015,c_60]) ).

tcf(c_87609,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_34831]) ).

tcf(c_87617,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25015,c_55]) ).

tcf(c_87620,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_30311]) ).

tcf(c_87621,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_30230]) ).

tcf(c_87622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_28649]) ).

tcf(c_87623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_28613]) ).

tcf(c_87624,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_27640]) ).

tcf(c_87636,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | ( X0 = X1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25015,c_72]) ).

tcf(c_87638,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25015,c_60]) ).

tcf(c_87641,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_30546]) ).

tcf(c_87642,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_27794]) ).

tcf(c_87763,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_25039]) ).

tcf(c_87764,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_25039]) ).

tcf(c_87765,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_25039]) ).

tcf(c_87766,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_25039]) ).

tcf(c_87767,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_25039]) ).

tcf(c_87768,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_25039]) ).

tcf(c_87769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_25039]) ).

tcf(c_87770,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_25039]) ).

tcf(c_87771,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_25039]) ).

tcf(c_87772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_25039]) ).

tcf(c_87785,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_25039]) ).

tcf(c_87786,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_25039]) ).

tcf(c_87791,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_30311]) ).

tcf(c_87792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_30230]) ).

tcf(c_87793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25039,c_28649]) ).

tcf(c_87807,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25039,c_72]) ).

tcf(c_87809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X2)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25039,c_60]) ).

tcf(c_87812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,X3))
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25039,c_30546]) ).

tcf(c_87813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,X3))
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25039,c_27794]) ).

tcf(c_87840,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | lesseq(sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_30167]) ).

tcf(c_88245,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK1,sK0))
      | lesseq(sK4(X0,X1,max(sK1,sK0)),sK1)
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_25453,c_55]) ).

tcf(c_88246,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_65553]) ).

tcf(c_88247,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_54804]) ).

tcf(c_88250,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_28649]) ).

tcf(c_88254,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_27007]) ).

tcf(c_88258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_2536]) ).

tcf(c_88259,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_2529]) ).

tcf(c_88260,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_1530]) ).

tcf(c_88261,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25453,c_1476]) ).

tcf(c_88262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25453,c_3134]) ).

tcf(c_88263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25453,c_1461]) ).

tcf(c_88264,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_25453,c_72]) ).

tcf(c_88353,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_37379]) ).

tcf(c_88354,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_33799]) ).

tcf(c_88355,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_33192]) ).

tcf(c_88380,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK1,sK0),sK1,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25455,c_1437]) ).

tcf(c_88386,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ~ model_max(max(sK1,sK0),sK1,X0) ),
    inference(superposition,[status(thm)],[c_25455,c_63]) ).

tcf(c_88387,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25455,c_62]) ).

tcf(c_88392,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK1) = sK1 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_25455,c_3000]) ).

tcf(c_88393,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK1) = sK1 )
    | ( max(max(sK1,sK0),sK1) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_25455,c_2995]) ).

tcf(c_88403,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_3713]) ).

tcf(c_88404,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_2539]) ).

tcf(c_88405,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_2532]) ).

tcf(c_88406,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_1497]) ).

tcf(c_88407,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_1851]) ).

tcf(c_88409,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(max(sK1,sK0),sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_1440]) ).

tcf(c_88508,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_65499]) ).

tcf(c_88509,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_29276]) ).

tcf(c_88510,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_28039]) ).

tcf(c_88511,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_54750]) ).

tcf(c_88516,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25456,c_1405]) ).

tcf(c_88517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_1496]) ).

tcf(c_88519,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25456,c_1390]) ).

tcf(c_88520,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25456,c_1376]) ).

tcf(c_88527,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_29276]) ).

tcf(c_88528,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_28039]) ).

tcf(c_88534,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25456,c_1405]) ).

tcf(c_88535,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_1496]) ).

tcf(c_88537,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25456,c_1390]) ).

tcf(c_88538,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25456,c_1376]) ).

tcf(c_88540,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_35184]) ).

tcf(c_88541,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_35183]) ).

tcf(c_88554,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_88538,c_1375]) ).

tcf(c_88558,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_88537,c_1375]) ).

tcf(c_88563,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_88528,c_1375]) ).

tcf(c_88716,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_37379]) ).

tcf(c_88717,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_33799]) ).

tcf(c_88718,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_33192]) ).

tcf(c_88743,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25462,c_1437]) ).

tcf(c_88749,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25462,c_63]) ).

tcf(c_88750,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_25462,c_62]) ).

tcf(c_88766,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_3713]) ).

tcf(c_88767,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_2539]) ).

tcf(c_88768,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(X0,X0,X1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_2532]) ).

tcf(c_88769,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_1497]) ).

tcf(c_88770,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_1851]) ).

tcf(c_88772,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | model_max(sK1,max(sK1,sK0),max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_1440]) ).

tcf(c_88825,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25556]) ).

tcf(c_88826,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25556]) ).

tcf(c_88831,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25556,c_2108]) ).

tcf(c_88833,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25556,c_1585]) ).

tcf(c_88835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25556,c_1405]) ).

tcf(c_88836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_25556,c_1496]) ).

tcf(c_88838,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25556,c_1390]) ).

tcf(c_88839,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25556,c_1376]) ).

tcf(c_88853,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25556,c_1405]) ).

tcf(c_88854,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25556,c_1496]) ).

tcf(c_88855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25556,c_3116]) ).

tcf(c_88856,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25556,c_1390]) ).

tcf(c_88857,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25556,c_1376]) ).

tcf(c_88860,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25556,c_29276]) ).

tcf(c_88861,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25556,c_28039]) ).

tcf(c_88867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25556,c_1405]) ).

tcf(c_88868,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25556,c_1496]) ).

tcf(c_88870,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25556,c_1390]) ).

tcf(c_88871,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25556,c_1376]) ).

tcf(c_88890,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_88857,c_1375]) ).

tcf(c_88894,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_88856,c_1375]) ).

tcf(c_88919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_88833,c_25410]) ).

tcf(c_89132,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_25638]) ).

tcf(c_89141,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK0,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25638,c_1405]) ).

tcf(c_89142,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | lesseq(max(sK0,sK2),X0) ),
    inference(superposition,[status(thm)],[c_25638,c_1496]) ).

tcf(c_89144,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25638,c_1390]) ).

tcf(c_89145,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25638,c_1376]) ).

tcf(c_89158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25638,c_1405]) ).

tcf(c_89159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25638,c_1496]) ).

tcf(c_89160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25638,c_3116]) ).

tcf(c_89161,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25638,c_1390]) ).

tcf(c_89162,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25638,c_1376]) ).

tcf(c_89165,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25638,c_29276]) ).

tcf(c_89166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_25638,c_28039]) ).

tcf(c_89172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25638,c_1405]) ).

tcf(c_89173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_25638,c_1496]) ).

tcf(c_89175,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25638,c_1390]) ).

tcf(c_89176,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25638,c_1376]) ).

tcf(c_89195,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_89162,c_1375]) ).

tcf(c_89199,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_89161,c_1375]) ).

tcf(c_89227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37891]) ).

tcf(c_89228,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37891]) ).

tcf(c_89241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_2536]) ).

tcf(c_89242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_2529]) ).

tcf(c_89243,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_1530]) ).

tcf(c_89244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_1476]) ).

tcf(c_89245,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_3134]) ).

tcf(c_89246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_1461]) ).

tcf(c_89247,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37891,c_72]) ).

tcf(c_89249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK2,sK0,X1)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_37891,c_60]) ).

tcf(c_89254,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_37891,c_1437]) ).

tcf(c_89256,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37891,c_1762]) ).

tcf(c_89257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_37891,c_1733]) ).

tcf(c_89258,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_37115]) ).

tcf(c_89259,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_66446]) ).

tcf(c_89260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_30011]) ).

tcf(c_89261,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_28846]) ).

tcf(c_89262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_25619]) ).

tcf(c_89265,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_24817]) ).

tcf(c_89267,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_27323]) ).

tcf(c_89268,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37891,c_27204]) ).

tcf(c_89274,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_37891,c_36424]) ).

tcf(c_89275,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_40843]) ).

tcf(c_89277,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37891,c_40634]) ).

tcf(c_89282,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_29276]) ).

tcf(c_89283,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK2,sK0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_28039]) ).

tcf(c_89285,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(sK0,sK2) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_2108]) ).

tcf(c_89287,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(sK2,sK0) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_1585]) ).

tcf(c_89289,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK2,sK0),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37891,c_1405]) ).

tcf(c_89290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(sK2,sK0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_1496]) ).

tcf(c_89292,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37891,c_1390]) ).

tcf(c_89293,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_37891,c_1376]) ).

tcf(c_89298,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_7476]) ).

tcf(c_89584,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_37893]) ).

tcf(c_89587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_37893]) ).

tcf(c_89588,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_37893]) ).

tcf(c_89589,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_37893]) ).

tcf(c_89590,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_37893]) ).

tcf(c_89593,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_37893]) ).

tcf(c_89594,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_37893]) ).

tcf(c_89595,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_37893]) ).

tcf(c_89596,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_37893]) ).

tcf(c_89597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_37893]) ).

tcf(c_89598,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_37893]) ).

tcf(c_89599,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_37893]) ).

tcf(c_89600,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_37893]) ).

tcf(c_89601,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_37893]) ).

tcf(c_89602,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_37893]) ).

tcf(c_89603,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_37893]) ).

tcf(c_89604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_37893]) ).

tcf(c_89617,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_37893]) ).

tcf(c_89618,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_37893]) ).

tcf(c_89619,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_37893]) ).

tcf(c_89620,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_37893]) ).

tcf(c_89624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37893,c_29276]) ).

tcf(c_89625,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37893,c_28039]) ).

tcf(c_89627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37893,c_2108]) ).

tcf(c_89628,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK0,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37893,c_1956]) ).

tcf(c_89629,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK2,sK0,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_37893,c_1585]) ).

tcf(c_89630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK2,sK0,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_37893,c_1580]) ).

tcf(c_89631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(X2,X3),X1)
      | model_max(sK2,sK0,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_37893,c_1405]) ).

tcf(c_89632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | model_max(sK2,sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37893,c_1496]) ).

tcf(c_89634,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_37893,c_1390]) ).

tcf(c_89635,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK2,sK0,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_37893,c_1376]) ).

tcf(c_89637,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_37893,c_40730]) ).

tcf(c_89639,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_37893,c_1413]) ).

tcf(c_89643,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_37893,c_25625]) ).

tcf(c_89644,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_37893,c_25543]) ).

tcf(c_89649,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_37893,c_24681]) ).

tcf(c_89650,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_37893,c_24823]) ).

tcf(c_89651,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_37893,c_31071]) ).

tcf(c_89652,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_37893,c_38452]) ).

tcf(c_89654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK2,sK0),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37893,c_29276]) ).

tcf(c_89655,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK2,sK0),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37893,c_28039]) ).

tcf(c_89661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | lesseq(max(sK2,sK0),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_37893,c_1405]) ).

tcf(c_89662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(max(sK2,sK0),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_37893,c_1496]) ).

tcf(c_89664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),max(sK2,sK0)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37893,c_1390]) ).

tcf(c_89665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(sK2,sK0),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_37893,c_1376]) ).

tcf(c_89668,plain,
    ( lesseq(max(sK2,sK0),sK2)
    | model_max(sK2,sK0,max(sK2,sK0)) ),
    inference(equality_factoring,[status(thm)],[c_37893]) ).

tcf(c_89670,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK2,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_89668,c_25410]) ).

tcf(c_89671,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_89650,c_24429]) ).

tcf(c_90107,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38691]) ).

tcf(c_90108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK2,sK4(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38691,c_55]) ).

tcf(c_90109,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_65553]) ).

tcf(c_90110,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_54804]) ).

tcf(c_90111,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_30311]) ).

tcf(c_90112,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_30230]) ).

tcf(c_90113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_28649]) ).

tcf(c_90114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_28613]) ).

tcf(c_90115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_27640]) ).

tcf(c_90116,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_27550]) ).

tcf(c_90117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_27007]) ).

tcf(c_90118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_26975]) ).

tcf(c_90119,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_26068]) ).

tcf(c_90121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_2536]) ).

tcf(c_90122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_2529]) ).

tcf(c_90123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_1530]) ).

tcf(c_90124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38691,c_1476]) ).

tcf(c_90125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_3134]) ).

tcf(c_90126,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38691,c_1461]) ).

tcf(c_90127,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | ( X0 = X1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38691,c_72]) ).

tcf(c_90129,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38691,c_60]) ).

tcf(c_90130,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38691,c_68]) ).

tcf(c_90131,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38691,c_67]) ).

tcf(c_90132,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_30546]) ).

tcf(c_90133,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_27794]) ).

tcf(c_90134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_1437]) ).

tcf(c_90135,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_62]) ).

tcf(c_90136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38691,c_1762]) ).

tcf(c_90137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38691,c_1733]) ).

tcf(c_90157,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_40843]) ).

tcf(c_90158,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_34831]) ).

tcf(c_90170,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_30167]) ).

tcf(c_90172,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_29276]) ).

tcf(c_90173,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_28039]) ).

tcf(c_90179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK0,sK2),X1)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38691,c_1405]) ).

tcf(c_90180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK0,sK2),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_1496]) ).

tcf(c_90182,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_38691,c_1390]) ).

tcf(c_90183,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38691,c_1376]) ).

tcf(c_90422,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38692]) ).

tcf(c_90423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38692,c_55]) ).

tcf(c_90424,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_65553]) ).

tcf(c_90425,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_54804]) ).

tcf(c_90426,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_30311]) ).

tcf(c_90427,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_30230]) ).

tcf(c_90428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_28649]) ).

tcf(c_90429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_28613]) ).

tcf(c_90430,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_27640]) ).

tcf(c_90431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_27550]) ).

tcf(c_90432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_27007]) ).

tcf(c_90433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_26975]) ).

tcf(c_90434,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_26068]) ).

tcf(c_90436,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_2536]) ).

tcf(c_90437,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_2529]) ).

tcf(c_90438,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_1530]) ).

tcf(c_90439,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK0,sK2,X1)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38692,c_1476]) ).

tcf(c_90440,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_3134]) ).

tcf(c_90441,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38692,c_1461]) ).

tcf(c_90442,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | ( X0 = X1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38692,c_72]) ).

tcf(c_90444,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38692,c_60]) ).

tcf(c_90445,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38692,c_68]) ).

tcf(c_90446,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38692,c_67]) ).

tcf(c_90447,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_30546]) ).

tcf(c_90448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_27794]) ).

tcf(c_90449,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_1437]) ).

tcf(c_90450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_62]) ).

tcf(c_90451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38692,c_1762]) ).

tcf(c_90452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38692,c_1733]) ).

tcf(c_90472,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_40843]) ).

tcf(c_90473,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_34831]) ).

tcf(c_90485,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_30167]) ).

tcf(c_90487,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_29276]) ).

tcf(c_90488,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_28039]) ).

tcf(c_90494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK0,sK2),X1)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38692,c_1405]) ).

tcf(c_90495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK0,sK2),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_1496]) ).

tcf(c_90497,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_38692,c_1390]) ).

tcf(c_90498,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38692,c_1376]) ).

tcf(c_91508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),X2)
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25680,c_55]) ).

tcf(c_91522,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X4,X3)
      | lesseq(X3,X1)
      | lesseq(X1,X2)
      | lesseq(X0,X4)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_25680,c_2529]) ).

tcf(c_91527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( X0 = sK0 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25680,c_72]) ).

tcf(c_91529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_60]) ).

tcf(c_91539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_40634]) ).

tcf(c_91540,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_42195]) ).

tcf(c_91541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25680,c_6991]) ).

tcf(c_91555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,sK2)
      | lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_2529]) ).

tcf(c_91556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X4,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X4)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_1530]) ).

tcf(c_91560,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( X0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25680,c_72]) ).

tcf(c_91562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25680,c_60]) ).

tcf(c_91573,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30011]) ).

tcf(c_91574,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25680,c_28846]) ).

tcf(c_91587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | lesseq(X1,X2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25680,c_36424]) ).

tcf(c_91594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25680,c_55]) ).

tcf(c_91597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30311]) ).

tcf(c_91598,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30230]) ).

tcf(c_91599,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_28649]) ).

tcf(c_91603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X3)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_27007]) ).

tcf(c_91608,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X4,X2)
      | lesseq(X2,X3)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_2529]) ).

tcf(c_91609,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X4,X0)
      | lesseq(X3,X4)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_1530]) ).

tcf(c_91613,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_72]) ).

tcf(c_91615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_60]) ).

tcf(c_91657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25680,c_55]) ).

tcf(c_91660,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30311]) ).

tcf(c_91661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30230]) ).

tcf(c_91662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X1,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_28649]) ).

tcf(c_91670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X4)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_2536]) ).

tcf(c_91671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_2529]) ).

tcf(c_91673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X2,X1)
      | lesseq(X0,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25680,c_1476]) ).

tcf(c_91675,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25680,c_1461]) ).

tcf(c_91676,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( X0 = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_72]) ).

tcf(c_91678,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_60]) ).

tcf(c_91681,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25680,c_30546]) ).

tcf(c_91693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_28627]) ).

tcf(c_91719,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30167]) ).

tcf(c_92693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),X2)
      | ( max(sK2,X2) = sK2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25689,c_55]) ).

tcf(c_92707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_2529]) ).

tcf(c_92712,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X0 = sK0 )
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25689,c_72]) ).

tcf(c_92714,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,X2)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25689,c_60]) ).

tcf(c_92725,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_42195]) ).

tcf(c_92726,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_6991]) ).

tcf(c_92727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK2,sK4(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25689,c_55]) ).

tcf(c_92730,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_30311]) ).

tcf(c_92731,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_30230]) ).

tcf(c_92735,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_27550]) ).

tcf(c_92746,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( X0 = X1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25689,c_72]) ).

tcf(c_92748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25689,c_60]) ).

tcf(c_92751,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_30546]) ).

tcf(c_92912,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),X2)
      | ( max(X2,sK2) = sK2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25695,c_55]) ).

tcf(c_92926,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X2,X0)
      | lesseq(X1,X3)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_2529]) ).

tcf(c_92931,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X0 = sK0 )
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25695,c_72]) ).

tcf(c_92933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,X2)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25695,c_60]) ).

tcf(c_92944,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_42195]) ).

tcf(c_92945,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_6991]) ).

tcf(c_92946,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25695,c_55]) ).

tcf(c_92949,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_30311]) ).

tcf(c_92953,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_27640]) ).

tcf(c_92965,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( X0 = X1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25695,c_72]) ).

tcf(c_92967,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25695,c_60]) ).

tcf(c_92970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_30546]) ).

tcf(c_93067,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | minsol_model_ub(X0,X1,sK0)
      | ( max(X2,sK4(X0,X1,sK0)) = X2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25699,c_55]) ).

tcf(c_93080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X3,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_2536]) ).

tcf(c_93081,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X3,X1)
      | lesseq(X2,X3)
      | model_max(sK0,sK0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_2529]) ).

tcf(c_93086,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( X0 = sK0 )
      | ( max(X1,X0) = X1 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25699,c_72]) ).

tcf(c_93088,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25699,c_60]) ).

tcf(c_93099,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_42195]) ).

tcf(c_93100,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_6991]) ).

tcf(c_93105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_28649]) ).

tcf(c_93113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_2536]) ).

tcf(c_93116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_1476]) ).

tcf(c_93118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_1461]) ).

tcf(c_93119,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25699,c_72]) ).

tcf(c_93121,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,X0)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25699,c_60]) ).

tcf(c_93126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_25699,c_1437]) ).

tcf(c_93128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X0,sK2)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25699,c_1762]) ).

tcf(c_93129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25699,c_1733]) ).

tcf(c_93130,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25699,c_37115]) ).

tcf(c_93131,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25699,c_66446]) ).

tcf(c_93132,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_30011]) ).

tcf(c_93133,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_28846]) ).

tcf(c_93139,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_27323]) ).

tcf(c_93140,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_27204]) ).

tcf(c_93146,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25699,c_36424]) ).

tcf(c_93149,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_40634]) ).

tcf(c_93151,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_6991]) ).

tcf(c_93400,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25707]) ).

tcf(c_93401,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_25707]) ).

tcf(c_93402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_25707]) ).

tcf(c_93403,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_25707]) ).

tcf(c_93406,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_25707]) ).

tcf(c_93408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_25707]) ).

tcf(c_93409,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_25707]) ).

tcf(c_93410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_25707]) ).

tcf(c_93411,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_25707]) ).

tcf(c_93412,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_25707]) ).

tcf(c_93413,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_25707]) ).

tcf(c_93414,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_25707]) ).

tcf(c_93415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_25707]) ).

tcf(c_93416,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_25707]) ).

tcf(c_93417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_25707]) ).

tcf(c_93430,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_25707]) ).

tcf(c_93431,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_25707]) ).

tcf(c_93437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(sK0,max(X0,X1))
      | lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_25707,c_29276]) ).

tcf(c_93438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(sK0,max(X0,X1))
      | lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_25707,c_28039]) ).

tcf(c_93444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK0,max(X2,X3))
      | lesseq(max(X2,X3),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25707,c_1405]) ).

tcf(c_93445,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(sK0,max(X0,X1))
      | lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25707,c_1496]) ).

tcf(c_93447,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_25707,c_1390]) ).

tcf(c_93448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(sK0,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_25707,c_1376]) ).

tcf(c_93450,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_25707,c_40730]) ).

tcf(c_93452,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(sK0,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_25707,c_1413]) ).

tcf(c_93456,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_25707,c_25625]) ).

tcf(c_93457,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_25707,c_25543]) ).

tcf(c_93462,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_25707,c_24681]) ).

tcf(c_93463,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_25707,c_24823]) ).

tcf(c_93464,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_25707,c_31071]) ).

tcf(c_93465,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_25707,c_38452]) ).

tcf(c_93478,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X4)
      | lesseq(X3,sK2)
      | model_max(X4,X4,X0)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25707,c_2536]) ).

tcf(c_93479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X4,X0)
      | model_max(sK0,sK0,X4)
      | model_max(X1,X2,X3)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_25707,c_2529]) ).

tcf(c_93484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK0 )
      | ~ lesseq(max(X0,X1),sK0) ),
    inference(superposition,[status(thm)],[c_25707,c_72]) ).

tcf(c_93486,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25707,c_60]) ).

tcf(c_93492,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK2)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_93463,c_24429]) ).

tcf(c_94112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | minsol_model_ub(X0,X1,sK0)
      | ( max(sK4(X0,X1,sK0),X2) = X2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_25712,c_55]) ).

tcf(c_94125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X3,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_2536]) ).

tcf(c_94126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_2529]) ).

tcf(c_94131,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( X0 = sK0 )
      | ( max(X0,X1) = X1 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25712,c_72]) ).

tcf(c_94133,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25712,c_60]) ).

tcf(c_94144,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_42195]) ).

tcf(c_94145,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_6991]) ).

tcf(c_94150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_28649]) ).

tcf(c_94158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_2536]) ).

tcf(c_94161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_1476]) ).

tcf(c_94163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_1461]) ).

tcf(c_94164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25712,c_72]) ).

tcf(c_94166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_25712,c_60]) ).

tcf(c_94171,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_25712,c_1437]) ).

tcf(c_94173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X0,sK2)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25712,c_1762]) ).

tcf(c_94174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X1,sK2)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_25712,c_1733]) ).

tcf(c_94175,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25712,c_37115]) ).

tcf(c_94176,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25712,c_66446]) ).

tcf(c_94177,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25712,c_30011]) ).

tcf(c_94178,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25712,c_28846]) ).

tcf(c_94184,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25712,c_27323]) ).

tcf(c_94185,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25712,c_27204]) ).

tcf(c_94191,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25712,c_36424]) ).

tcf(c_94194,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25712,c_40634]) ).

tcf(c_94196,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25712,c_6991]) ).

tcf(c_94312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_25719]) ).

tcf(c_94313,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_25719]) ).

tcf(c_94314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_25719]) ).

tcf(c_94315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_25719]) ).

tcf(c_94316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_25719]) ).

tcf(c_94317,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(sK1,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_25719]) ).

tcf(c_94318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_25719]) ).

tcf(c_94319,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_25719]) ).

tcf(c_94320,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_25719]) ).

tcf(c_94321,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X0)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_25719]) ).

tcf(c_94334,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_25719]) ).

tcf(c_94335,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_25719]) ).

tcf(c_94358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25719,c_72]) ).

tcf(c_94360,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X2)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_25719,c_60]) ).

tcf(c_94363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK0,max(X2,X3))
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25719,c_30546]) ).

tcf(c_94391,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | lesseq(sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25719,c_30167]) ).

tcf(c_94483,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X0 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_26063,c_72]) ).

tcf(c_94485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_26063,c_60]) ).

tcf(c_94487,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_67]) ).

tcf(c_94496,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_30011]) ).

tcf(c_94497,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_28846]) ).

tcf(c_94504,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_27204]) ).

tcf(c_94510,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_26063,c_36424]) ).

tcf(c_94517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ( max(X2,sK0) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_26063,c_55]) ).

tcf(c_94518,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_65553]) ).

tcf(c_94519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_54804]) ).

tcf(c_94531,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_2529]) ).

tcf(c_94533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_26063,c_1476]) ).

tcf(c_94535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(X0,sK0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_26063,c_1461]) ).

tcf(c_94536,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = X1 )
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26063,c_72]) ).

tcf(c_94538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(X2,sK0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26063,c_60]) ).

tcf(c_94543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_26063,c_1437]) ).

tcf(c_94545,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_26063,c_1762]) ).

tcf(c_94546,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_26063,c_1733]) ).

tcf(c_94663,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_38694]) ).

tcf(c_94664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_38694]) ).

tcf(c_94665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_38694]) ).

tcf(c_94666,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_38694]) ).

tcf(c_94669,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_38694]) ).

tcf(c_94670,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_38694]) ).

tcf(c_94671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_38694]) ).

tcf(c_94672,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_38694]) ).

tcf(c_94673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_38694]) ).

tcf(c_94674,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_38694]) ).

tcf(c_94675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_38694]) ).

tcf(c_94676,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_38694]) ).

tcf(c_94677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_38694]) ).

tcf(c_94678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_38694]) ).

tcf(c_94679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK2,X2)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_38694]) ).

tcf(c_94680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X2)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_38694]) ).

tcf(c_94681,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_38694]) ).

tcf(c_94682,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_38694]) ).

tcf(c_94683,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_38694]) ).

tcf(c_94684,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_38694]) ).

tcf(c_94693,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_38694]) ).

tcf(c_94694,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_38694]) ).

tcf(c_94701,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38694,c_30311]) ).

tcf(c_94702,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38694,c_30230]) ).

tcf(c_94703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_38694,c_28649]) ).

tcf(c_94705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38694,c_27640]) ).

tcf(c_94706,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38694,c_27550]) ).

tcf(c_94707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_38694,c_27007]) ).

tcf(c_94711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(sK0,sK2,X4)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_38694,c_2536]) ).

tcf(c_94712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_38694,c_2529]) ).

tcf(c_94713,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(sK0,sK2,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_38694,c_1530]) ).

tcf(c_94714,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK2,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38694,c_1476]) ).

tcf(c_94715,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK2,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_38694,c_3134]) ).

tcf(c_94716,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38694,c_1461]) ).

tcf(c_94717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_38694,c_72]) ).

tcf(c_94719,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK0,sK2,X3)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_38694,c_60]) ).

tcf(c_94720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_38694,c_68]) ).

tcf(c_94721,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_38694,c_67]) ).

tcf(c_94722,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK0,max(X2,X3))
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38694,c_30546]) ).

tcf(c_94723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,X3))
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38694,c_27794]) ).

tcf(c_94724,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | model_max(X0,X1,X2)
      | lesseq(X2,max(X3,X4))
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38694,c_1437]) ).

tcf(c_94725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(sK0,sK2,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_38694,c_62]) ).

tcf(c_94726,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X0,max(X3,X4))
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38694,c_1762]) ).

tcf(c_94727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X1,max(X3,X4))
      | model_max(sK0,sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38694,c_1733]) ).

tcf(c_94749,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_38694,c_6991]) ).

tcf(c_95207,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38717]) ).

tcf(c_95208,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38717]) ).

tcf(c_95221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK2,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_2536]) ).

tcf(c_95222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_2529]) ).

tcf(c_95223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_1530]) ).

tcf(c_95224,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_1476]) ).

tcf(c_95225,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_3134]) ).

tcf(c_95226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_1461]) ).

tcf(c_95227,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38717,c_72]) ).

tcf(c_95229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38717,c_60]) ).

tcf(c_95234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK2,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_38717,c_1437]) ).

tcf(c_95236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38717,c_1762]) ).

tcf(c_95237,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38717,c_1733]) ).

tcf(c_95238,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38717,c_37115]) ).

tcf(c_95239,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38717,c_66446]) ).

tcf(c_95240,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_30011]) ).

tcf(c_95241,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_28846]) ).

tcf(c_95247,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_27323]) ).

tcf(c_95248,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_27204]) ).

tcf(c_95254,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_38717,c_36424]) ).

tcf(c_95255,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_38717,c_40843]) ).

tcf(c_95257,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_40634]) ).

tcf(c_95259,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_6991]) ).

tcf(c_95262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_29276]) ).

tcf(c_95263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_28039]) ).

tcf(c_95269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK0,sK2),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38717,c_1405]) ).

tcf(c_95270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | lesseq(max(sK0,sK2),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_1496]) ).

tcf(c_95272,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_1390]) ).

tcf(c_95273,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_1376]) ).

tcf(c_95787,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38718]) ).

tcf(c_95788,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_38718]) ).

tcf(c_95801,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_2536]) ).

tcf(c_95802,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_2529]) ).

tcf(c_95803,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_1530]) ).

tcf(c_95804,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_1476]) ).

tcf(c_95805,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_3134]) ).

tcf(c_95806,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_1461]) ).

tcf(c_95807,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38718,c_72]) ).

tcf(c_95809,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK2,X1)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_38718,c_60]) ).

tcf(c_95814,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_38718,c_1437]) ).

tcf(c_95816,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38718,c_1762]) ).

tcf(c_95817,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_38718,c_1733]) ).

tcf(c_95818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38718,c_37115]) ).

tcf(c_95819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38718,c_66446]) ).

tcf(c_95820,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38718,c_30011]) ).

tcf(c_95821,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38718,c_28846]) ).

tcf(c_95827,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38718,c_27323]) ).

tcf(c_95828,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38718,c_27204]) ).

tcf(c_95834,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_38718,c_36424]) ).

tcf(c_95835,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_40843]) ).

tcf(c_95837,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_38718,c_40634]) ).

tcf(c_95839,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_38718,c_6991]) ).

tcf(c_95842,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_29276]) ).

tcf(c_95843,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK0,sK2),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_28039]) ).

tcf(c_95849,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK0,sK2),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38718,c_1405]) ).

tcf(c_95850,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(sK0,sK2),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_1496]) ).

tcf(c_95852,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_38718,c_1390]) ).

tcf(c_95853,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_38718,c_1376]) ).

tcf(c_96223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_38720]) ).

tcf(c_96224,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_38720]) ).

tcf(c_96225,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_38720]) ).

tcf(c_96226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_38720]) ).

tcf(c_96229,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_38720]) ).

tcf(c_96230,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_38720]) ).

tcf(c_96231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_38720]) ).

tcf(c_96232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_38720]) ).

tcf(c_96233,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_38720]) ).

tcf(c_96234,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_38720]) ).

tcf(c_96235,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_38720]) ).

tcf(c_96236,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_38720]) ).

tcf(c_96237,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_38720]) ).

tcf(c_96238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_38720]) ).

tcf(c_96239,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_38720]) ).

tcf(c_96240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_38720]) ).

tcf(c_96253,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_38720]) ).

tcf(c_96254,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_38720]) ).

tcf(c_96255,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_38720]) ).

tcf(c_96256,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_38720]) ).

tcf(c_96260,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38720,c_29276]) ).

tcf(c_96261,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38720,c_28039]) ).

tcf(c_96263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38720,c_2108]) ).

tcf(c_96264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK2,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38720,c_1956]) ).

tcf(c_96265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK2,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_38720,c_1585]) ).

tcf(c_96266,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK2,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_38720,c_1580]) ).

tcf(c_96267,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(X2,X3),X1)
      | model_max(sK0,sK2,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_38720,c_1405]) ).

tcf(c_96268,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | model_max(sK0,sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38720,c_1496]) ).

tcf(c_96270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_38720,c_1390]) ).

tcf(c_96271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK2,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_38720,c_1376]) ).

tcf(c_96273,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_38720,c_40730]) ).

tcf(c_96275,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_38720,c_1413]) ).

tcf(c_96279,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_38720,c_25625]) ).

tcf(c_96280,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_38720,c_25543]) ).

tcf(c_96285,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_38720,c_24681]) ).

tcf(c_96286,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_38720,c_24823]) ).

tcf(c_96287,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_38720,c_31071]) ).

tcf(c_96288,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_38720,c_38452]) ).

tcf(c_96290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK0,sK2),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38720,c_29276]) ).

tcf(c_96291,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK0,sK2),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38720,c_28039]) ).

tcf(c_96297,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | lesseq(max(sK0,sK2),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_38720,c_1405]) ).

tcf(c_96298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(max(sK0,sK2),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_38720,c_1496]) ).

tcf(c_96300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),max(sK0,sK2)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_38720,c_1390]) ).

tcf(c_96301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(sK0,sK2),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_38720,c_1376]) ).

tcf(c_96303,plain,
    ( lesseq(max(sK0,sK2),sK2)
    | model_max(sK0,sK2,max(sK0,sK2)) ),
    inference(equality_factoring,[status(thm)],[c_38720]) ).

tcf(c_96305,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_96303,c_25411]) ).

tcf(c_96306,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_96286,c_24429]) ).

tcf(c_96483,plain,
    ( lesseq(max(sK0,sK1),sK5(sK0,sK1,sK4(sK0,sK1,sK2)))
    | ~ lesseq(max(sK0,sK1),sK1)
    | ~ lesseq(sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) ),
    inference(instantiation,[status(thm)],[c_48853]) ).

tcf(c_96519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X0 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_26065,c_72]) ).

tcf(c_96521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_26065,c_60]) ).

tcf(c_96532,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26065,c_30011]) ).

tcf(c_96546,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_26065,c_36424]) ).

tcf(c_96553,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | lesseq(sK4(X0,X1,X2),sK2)
      | ( max(sK0,X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_26065,c_55]) ).

tcf(c_96554,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26065,c_65553]) ).

tcf(c_96555,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26065,c_54804]) ).

tcf(c_96567,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_26065,c_2529]) ).

tcf(c_96569,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_26065,c_1476]) ).

tcf(c_96571,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( max(sK0,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_26065,c_1461]) ).

tcf(c_96572,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = X1 )
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26065,c_72]) ).

tcf(c_96574,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | ( max(sK0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_26065,c_60]) ).

tcf(c_96579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(X0,X1,X2)
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_26065,c_1437]) ).

tcf(c_96581,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_26065,c_1762]) ).

tcf(c_96582,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X3)
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_26065,c_1733]) ).

tcf(c_96699,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_27461,c_40598]) ).

tcf(c_96700,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK2,sK2,max(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_27464,c_40598]) ).

tcf(c_96704,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,max(sK0,sK1)) ),
    inference(global_subsumption_just,[status(thm)],[c_28548,c_73,c_80,c_81,c_83,c_85,c_508,c_519,c_599,c_1639,c_1875,c_2072,c_2247,c_2360,c_2485,c_2891,c_2974,c_3364,c_3625,c_3626,c_4760,c_4761,c_4772,c_4965,c_5341,c_5344,c_6122,c_6233,c_6543,c_6572,c_6811,c_7938,c_8124,c_8465,c_8488,c_8937,c_9378,c_9399,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27176,c_27178,c_27412,c_28548,c_30781,c_31001,c_34041,c_37290]) ).

tcf(c_96716,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_39192]) ).

tcf(c_96717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ( max(X2,sK0) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_39192,c_55]) ).

tcf(c_96718,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_65553]) ).

tcf(c_96719,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_54804]) ).

tcf(c_96722,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_28649]) ).

tcf(c_96723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_28613]) ).

tcf(c_96726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_27007]) ).

tcf(c_96727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_26975]) ).

tcf(c_96728,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_26068]) ).

tcf(c_96729,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_24518]) ).

tcf(c_96731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_2529]) ).

tcf(c_96733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_1476]) ).

tcf(c_96734,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_3134]) ).

tcf(c_96735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | ( max(X0,sK0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_39192,c_1461]) ).

tcf(c_96736,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_39192,c_72]) ).

tcf(c_96738,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(X2,sK0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_39192,c_60]) ).

tcf(c_96739,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_68]) ).

tcf(c_96740,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | ( max(X0,sK0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_39192,c_67]) ).

tcf(c_96743,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_39192,c_1437]) ).

tcf(c_96744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_39192,c_62]) ).

tcf(c_96745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_39192,c_1762]) ).

tcf(c_96746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_39192,c_1733]) ).

tcf(c_96778,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_6991]) ).

tcf(c_96788,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | lesseq(max(X2,X2),X0)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_39192,c_1405]) ).

tcf(c_96789,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | lesseq(max(X1,X1),X2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39192,c_1496]) ).

tcf(c_96791,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39192,c_1390]) ).

tcf(c_96792,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39192,c_1376]) ).

tcf(c_96912,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_39193]) ).

tcf(c_96913,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( minsol_model_ub(X0,X1,X2)
      | model_max(sK4(X0,X1,X2),sK4(X0,X1,X2),sK2)
      | ( max(sK0,X2) = X2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_39193,c_55]) ).

tcf(c_96914,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_65553]) ).

tcf(c_96915,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_54804]) ).

tcf(c_96918,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_28649]) ).

tcf(c_96919,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_28613]) ).

tcf(c_96922,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | lesseq(X2,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_27007]) ).

tcf(c_96923,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_26975]) ).

tcf(c_96924,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_26068]) ).

tcf(c_96925,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_24518]) ).

tcf(c_96927,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | lesseq(X1,X3)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_2529]) ).

tcf(c_96929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(X2,X2,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_1476]) ).

tcf(c_96930,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_3134]) ).

tcf(c_96931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | ( max(sK0,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_39193,c_1461]) ).

tcf(c_96932,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( X0 = X1 )
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_39193,c_72]) ).

tcf(c_96934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(X0,X0,sK2)
      | ( max(sK0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_39193,c_60]) ).

tcf(c_96935,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_68]) ).

tcf(c_96936,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | ( max(sK0,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_39193,c_67]) ).

tcf(c_96939,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X2,X3)
      | model_max(X3,X3,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_39193,c_1437]) ).

tcf(c_96940,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_39193,c_62]) ).

tcf(c_96941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_39193,c_1762]) ).

tcf(c_96942,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(X3,X3,sK2)
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_39193,c_1733]) ).

tcf(c_96984,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | lesseq(max(X2,X2),X0)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_39193,c_1405]) ).

tcf(c_96985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | lesseq(max(X1,X1),X2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_1496]) ).

tcf(c_96987,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39193,c_1390]) ).

tcf(c_96988,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_39193,c_1376]) ).

tcf(c_97108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK2,sK4(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46205,c_55]) ).

tcf(c_97109,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_65553]) ).

tcf(c_97110,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_54804]) ).

tcf(c_97111,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_30311]) ).

tcf(c_97112,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_30230]) ).

tcf(c_97113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_28649]) ).

tcf(c_97114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_28613]) ).

tcf(c_97115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_27640]) ).

tcf(c_97116,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_27550]) ).

tcf(c_97117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_27007]) ).

tcf(c_97118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_26975]) ).

tcf(c_97121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_2536]) ).

tcf(c_97122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_2529]) ).

tcf(c_97123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1530]) ).

tcf(c_97124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1476]) ).

tcf(c_97125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_3134]) ).

tcf(c_97126,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | ( max(sK2,X2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1461]) ).

tcf(c_97127,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | ( X0 = X1 )
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46205,c_72]) ).

tcf(c_97129,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | ( max(sK2,X0) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46205,c_60]) ).

tcf(c_97130,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46205,c_68]) ).

tcf(c_97131,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46205,c_67]) ).

tcf(c_97132,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_30546]) ).

tcf(c_97133,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_27794]) ).

tcf(c_97134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1437]) ).

tcf(c_97135,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_62]) ).

tcf(c_97136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46205,c_1762]) ).

tcf(c_97137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ( max(sK2,X3) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46205,c_1733]) ).

tcf(c_97167,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_40634]) ).

tcf(c_97168,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_42195]) ).

tcf(c_97169,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_6991]) ).

tcf(c_97170,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_30167]) ).

tcf(c_97172,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_29276]) ).

tcf(c_97173,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_28039]) ).

tcf(c_97176,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1956]) ).

tcf(c_97177,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1585]) ).

tcf(c_97178,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK1) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1580]) ).

tcf(c_97179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK0,sK1),X1)
      | ( max(sK2,X2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46205,c_1405]) ).

tcf(c_97180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK0,sK1),X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1496]) ).

tcf(c_97182,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1390]) ).

tcf(c_97183,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46205,c_1376]) ).

tcf(c_97229,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_97178,c_40598]) ).

tcf(c_97234,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_97177,c_40598]) ).

tcf(c_97587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | minsol_model_ub(X0,X1,X2)
      | ( max(sK4(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46206,c_55]) ).

tcf(c_97588,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_65553]) ).

tcf(c_97589,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_54804]) ).

tcf(c_97590,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_30311]) ).

tcf(c_97591,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_30230]) ).

tcf(c_97592,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_28649]) ).

tcf(c_97593,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_28613]) ).

tcf(c_97594,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_27640]) ).

tcf(c_97595,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_27550]) ).

tcf(c_97596,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_27007]) ).

tcf(c_97597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_26975]) ).

tcf(c_97600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X1)
      | lesseq(X2,X0)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_2536]) ).

tcf(c_97601,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_2529]) ).

tcf(c_97602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1530]) ).

tcf(c_97603,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | model_max(sK0,sK1,X1)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1476]) ).

tcf(c_97604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_3134]) ).

tcf(c_97605,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | ( max(X2,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1461]) ).

tcf(c_97606,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | ( X0 = X1 )
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46206,c_72]) ).

tcf(c_97608,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | ( max(X0,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46206,c_60]) ).

tcf(c_97609,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46206,c_68]) ).

tcf(c_97610,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46206,c_67]) ).

tcf(c_97611,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_30546]) ).

tcf(c_97612,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK2)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_27794]) ).

tcf(c_97613,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(X1,X2,X3)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1437]) ).

tcf(c_97614,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_62]) ).

tcf(c_97615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,X3)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46206,c_1762]) ).

tcf(c_97616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,X3)
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ( max(X3,sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46206,c_1733]) ).

tcf(c_97646,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_40634]) ).

tcf(c_97647,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_42195]) ).

tcf(c_97648,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_6991]) ).

tcf(c_97649,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_30167]) ).

tcf(c_97651,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_29276]) ).

tcf(c_97652,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_28039]) ).

tcf(c_97655,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1956]) ).

tcf(c_97656,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1585]) ).

tcf(c_97657,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( max(sK0,sK1) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1580]) ).

tcf(c_97658,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X2)
      | lesseq(max(sK0,sK1),X1)
      | ( max(X2,sK2) = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46206,c_1405]) ).

tcf(c_97659,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK0,sK1),X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1496]) ).

tcf(c_97661,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1390]) ).

tcf(c_97662,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( max(X1,sK2) = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46206,c_1376]) ).

tcf(c_97708,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_97657,c_40598]) ).

tcf(c_97713,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_97656,c_40598]) ).

tcf(c_99105,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_30166,c_72]) ).

tcf(c_99107,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_30166,c_60]) ).

tcf(c_99165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_46208]) ).

tcf(c_99166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_46208]) ).

tcf(c_99167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_46208]) ).

tcf(c_99168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(X1,X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_46208]) ).

tcf(c_99171,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_46208]) ).

tcf(c_99172,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_46208]) ).

tcf(c_99173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(max(X1,X0),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_46208]) ).

tcf(c_99174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(max(X0,X1),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_46208]) ).

tcf(c_99175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(max(X1,X0),X1,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_46208]) ).

tcf(c_99176,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(max(X0,X1),X0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_46208]) ).

tcf(c_99177,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X0,sK1,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_46208]) ).

tcf(c_99178,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_46208]) ).

tcf(c_99179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(X0,max(X1,X0),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_46208]) ).

tcf(c_99180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X1,max(X0,X1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_46208]) ).

tcf(c_99181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK1,X2)
      | model_max(X1,max(X1,X0),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_46208]) ).

tcf(c_99182,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X2)
      | model_max(X0,max(X0,X1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_46208]) ).

tcf(c_99183,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_46208]) ).

tcf(c_99184,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_46208]) ).

tcf(c_99185,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_46208]) ).

tcf(c_99186,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK2,X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_46208]) ).

tcf(c_99195,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(sK0,X0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_46208]) ).

tcf(c_99196,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X0,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_46208]) ).

tcf(c_99203,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46208,c_30311]) ).

tcf(c_99204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK0,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46208,c_30230]) ).

tcf(c_99205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X3,sK2)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_46208,c_28649]) ).

tcf(c_99207,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46208,c_27640]) ).

tcf(c_99208,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK2)
      | lesseq(sK1,max(X1,X2))
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46208,c_27550]) ).

tcf(c_99209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X3,sK2)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_46208,c_27007]) ).

tcf(c_99213,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X3)
      | model_max(sK0,sK1,X4)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_46208,c_2536]) ).

tcf(c_99214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X4)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_46208,c_2529]) ).

tcf(c_99215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(X4,X0)
      | lesseq(X3,X4)
      | model_max(sK0,sK1,X3)
      | model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_46208,c_1530]) ).

tcf(c_99216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X2,X3,sK2)
      | lesseq(X0,max(X2,X3))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46208,c_1476]) ).

tcf(c_99217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK1,X3)
      | model_max(X1,X2,sK2)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_46208,c_3134]) ).

tcf(c_99218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X2,X3,sK2)
      | lesseq(X1,max(X2,X3))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46208,c_1461]) ).

tcf(c_99219,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(X0,X1) = X2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_46208,c_72]) ).

tcf(c_99221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X2)
      | model_max(sK0,sK1,X3)
      | model_max(X0,X1,sK2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_46208,c_60]) ).

tcf(c_99222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | model_max(X0,X1,sK2)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46208,c_68]) ).

tcf(c_99223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK2)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_46208,c_67]) ).

tcf(c_99224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK0,max(X2,X3))
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46208,c_30546]) ).

tcf(c_99225,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK1,max(X2,X3))
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46208,c_27794]) ).

tcf(c_99226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | model_max(X0,X1,X2)
      | lesseq(X2,max(X3,X4))
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46208,c_1437]) ).

tcf(c_99227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( model_max(X2,X3,sK2)
      | model_max(sK0,sK1,max(X0,X1))
      | model_max(X0,X1,max(X2,X3)) ),
    inference(superposition,[status(thm)],[c_46208,c_62]) ).

tcf(c_99228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X0,max(X3,X4))
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46208,c_1762]) ).

tcf(c_99229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( model_max(X3,X4,sK2)
      | lesseq(X1,max(X3,X4))
      | model_max(sK0,sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46208,c_1733]) ).

tcf(c_99251,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_46208,c_6991]) ).

tcf(c_99560,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_46229]) ).

tcf(c_99573,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK1,X1)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_2536]) ).

tcf(c_99574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_2529]) ).

tcf(c_99575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X0,X2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1530]) ).

tcf(c_99576,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X2,X0) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1476]) ).

tcf(c_99577,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_3134]) ).

tcf(c_99578,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,X2) = X2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1461]) ).

tcf(c_99579,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | ( X0 = sK2 )
      | ( max(X0,X1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_46229,c_72]) ).

tcf(c_99581,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X2)
      | ( max(X1,X2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_46229,c_60]) ).

tcf(c_99586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK1,X2)
      | model_max(X0,X1,X3)
      | ( max(max(X0,X1),X2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46229,c_1437]) ).

tcf(c_99588,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46229,c_1762]) ).

tcf(c_99589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X3)
      | ( max(sK5(X0,X1,X2),X3) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46229,c_1733]) ).

tcf(c_99591,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46229,c_66446]) ).

tcf(c_99592,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_30011]) ).

tcf(c_99593,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_28846]) ).

tcf(c_99599,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_27323]) ).

tcf(c_99600,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_27204]) ).

tcf(c_99606,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X1) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_46229,c_36424]) ).

tcf(c_99607,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_46229,c_40843]) ).

tcf(c_99609,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_40634]) ).

tcf(c_99611,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_6991]) ).

tcf(c_99614,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_29276]) ).

tcf(c_99615,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_28039]) ).

tcf(c_99618,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1956]) ).

tcf(c_99619,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1585]) ).

tcf(c_99620,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( max(sK0,sK1) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1580]) ).

tcf(c_99621,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ( max(X2,X0) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46229,c_1405]) ).

tcf(c_99622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | lesseq(X2,X1)
      | lesseq(max(sK0,sK1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1496]) ).

tcf(c_99624,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1390]) ).

tcf(c_99625,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_1376]) ).

tcf(c_99658,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_99620,c_40598]) ).

tcf(c_99663,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_99619,c_40598]) ).

tcf(c_99853,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40604,c_46230]) ).

tcf(c_99866,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | model_max(X2,X2,X3)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_2536]) ).

tcf(c_99867,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_2529]) ).

tcf(c_99868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1530]) ).

tcf(c_99869,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(X2,X1) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1476]) ).

tcf(c_99870,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_3134]) ).

tcf(c_99871,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(X1,X2) = X2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1461]) ).

tcf(c_99872,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | ( X0 = sK2 )
      | ( max(X1,X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_46230,c_72]) ).

tcf(c_99874,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK1,X1)
      | ( max(X1,X2) = X2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_46230,c_60]) ).

tcf(c_99879,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X2,X3)
      | ( max(X0,max(X1,X2)) = max(X1,X2) ) ),
    inference(superposition,[status(thm)],[c_46230,c_1437]) ).

tcf(c_99881,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46230,c_1762]) ).

tcf(c_99882,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X3)
      | ( max(X3,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_46230,c_1733]) ).

tcf(c_99884,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46230,c_66446]) ).

tcf(c_99885,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46230,c_30011]) ).

tcf(c_99886,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46230,c_28846]) ).

tcf(c_99892,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46230,c_27323]) ).

tcf(c_99893,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46230,c_27204]) ).

tcf(c_99899,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X1,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_46230,c_36424]) ).

tcf(c_99900,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_40843]) ).

tcf(c_99902,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46230,c_40634]) ).

tcf(c_99904,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46230,c_6991]) ).

tcf(c_99907,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_29276]) ).

tcf(c_99908,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK0,sK1),sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_28039]) ).

tcf(c_99911,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1956]) ).

tcf(c_99912,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1585]) ).

tcf(c_99913,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( max(sK0,sK1) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1580]) ).

tcf(c_99914,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(sK0,sK1),X1)
      | ( max(X0,X2) = X2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46230,c_1405]) ).

tcf(c_99915,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(max(sK0,sK1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1496]) ).

tcf(c_99917,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1390]) ).

tcf(c_99918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46230,c_1376]) ).

tcf(c_99951,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_99913,c_40598]) ).

tcf(c_99956,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_99912,c_40598]) ).

tcf(c_100260,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_46232]) ).

tcf(c_100261,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_46232]) ).

tcf(c_100262,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_46232]) ).

tcf(c_100263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_46232]) ).

tcf(c_100266,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40743,c_46232]) ).

tcf(c_100267,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25395,c_46232]) ).

tcf(c_100268,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(max(X1,X0),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_46232]) ).

tcf(c_100269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(max(X0,X1),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_46232]) ).

tcf(c_100270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(max(X1,X0),X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_46232]) ).

tcf(c_100271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(max(X0,X1),X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_46232]) ).

tcf(c_100272,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,sK1,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_46232]) ).

tcf(c_100273,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(sK1,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_46232]) ).

tcf(c_100274,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,max(X1,X0),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_46232]) ).

tcf(c_100275,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(X1,max(X0,X1),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_46232]) ).

tcf(c_100276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X1)
      | model_max(X1,max(X1,X0),X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_46232]) ).

tcf(c_100277,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,max(X0,X1),X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_46232]) ).

tcf(c_100290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(sK0,X0,X1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_46232]) ).

tcf(c_100291,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X0,sK0,X1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_46232]) ).

tcf(c_100292,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK1)
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_46232]) ).

tcf(c_100293,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK1)
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_46232]) ).

tcf(c_100297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46232,c_29276]) ).

tcf(c_100298,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),sK2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46232,c_28039]) ).

tcf(c_100300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,max(X1,X0))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46232,c_2108]) ).

tcf(c_100301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK1,max(X1,X0))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46232,c_1956]) ).

tcf(c_100302,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK1,max(X0,X1))
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_46232,c_1585]) ).

tcf(c_100303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK1,max(X0,X1))
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46232,c_1580]) ).

tcf(c_100304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(X2,X3),X1)
      | model_max(sK0,sK1,max(X2,X3))
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46232,c_1405]) ).

tcf(c_100305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X3)
      | lesseq(max(X0,X1),X2)
      | model_max(sK0,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46232,c_1496]) ).

tcf(c_100307,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,max(X1,X2))
      | ( max(X0,max(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_46232,c_1390]) ).

tcf(c_100308,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,max(X0,X1))
      | ( max(max(X0,X1),X2) = X2 ) ),
    inference(superposition,[status(thm)],[c_46232,c_1376]) ).

tcf(c_100310,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_46232,c_40730]) ).

tcf(c_100312,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,max(X0,X0)) ),
    inference(superposition,[status(thm)],[c_46232,c_1413]) ).

tcf(c_100316,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_46232,c_25625]) ).

tcf(c_100317,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_46232,c_25543]) ).

tcf(c_100322,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_46232,c_24681]) ).

tcf(c_100323,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_46232,c_24823]) ).

tcf(c_100324,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK2,sK5(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_46232,c_31071]) ).

tcf(c_100325,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK5(sK0,sK1,sK2),sK2)) ),
    inference(superposition,[status(thm)],[c_46232,c_38452]) ).

tcf(c_100327,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK0,sK1),sK2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46232,c_29276]) ).

tcf(c_100328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(max(sK0,sK1),sK2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46232,c_28039]) ).

tcf(c_100334,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X0,X1,X3)
      | lesseq(max(sK0,sK1),X2)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_46232,c_1405]) ).

tcf(c_100335,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X1,X2,X3)
      | lesseq(max(sK0,sK1),X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_46232,c_1496]) ).

tcf(c_100337,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),max(sK0,sK1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46232,c_1390]) ).

tcf(c_100338,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(sK0,sK1),max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46232,c_1376]) ).

tcf(c_100342,plain,
    ( lesseq(max(sK0,sK1),sK2)
    | model_max(sK0,sK1,max(sK0,sK1)) ),
    inference(equality_factoring,[status(thm)],[c_46232]) ).

tcf(c_100344,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK2) ),
    inference(light_normalisation,[status(thm)],[c_100342,c_40598]) ).

tcf(c_100345,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,sK2) ),
    inference(light_normalisation,[status(thm)],[c_100323,c_24429]) ).

tcf(c_100739,plain,
    ( model_max(sK2,sK1,sK2)
    | model_max(sK0,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_33469,c_40598]) ).

tcf(c_100740,plain,
    ( model_max(sK2,sK1,sK2)
    | model_max(sK2,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_33470,c_40598]) ).

tcf(c_100753,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | ( sK1 = sK2 )
      | ( max(sK0,sK4(X0,X1,sK2)) = sK0 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_46965,c_55]) ).

tcf(c_100754,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_65553]) ).

tcf(c_100755,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_54804]) ).

tcf(c_100756,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_30311]) ).

tcf(c_100759,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_28613]) ).

tcf(c_100760,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_27640]) ).

tcf(c_100763,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_26975]) ).

tcf(c_100766,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_2536]) ).

tcf(c_100767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_2529]) ).

tcf(c_100768,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_1530]) ).

tcf(c_100769,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X1) = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_1476]) ).

tcf(c_100770,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_3134]) ).

tcf(c_100771,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X1) = X1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_1461]) ).

tcf(c_100772,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_46965,c_72]) ).

tcf(c_100774,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46965,c_60]) ).

tcf(c_100775,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_68]) ).

tcf(c_100776,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_67]) ).

tcf(c_100777,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_37115]) ).

tcf(c_100778,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_66446]) ).

tcf(c_100779,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_30011]) ).

tcf(c_100780,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X1) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_28846]) ).

tcf(c_100781,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_25619]) ).

tcf(c_100782,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_25537]) ).

tcf(c_100783,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_28627]) ).

tcf(c_100784,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_24817]) ).

tcf(c_100785,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_24675]) ).

tcf(c_100786,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_27323]) ).

tcf(c_100787,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X1) = sK0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_27204]) ).

tcf(c_100788,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_26986]) ).

tcf(c_100789,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_26081]) ).

tcf(c_100791,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_25409]) ).

tcf(c_100794,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(sK0,X1) = sK0 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_46965,c_36424]) ).

tcf(c_100798,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_36417]) ).

tcf(c_100805,plain,
    ( ( sK1 = sK2 )
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_100798,c_40598]) ).

tcf(c_100960,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | ( sK1 = sK2 )
      | ( max(sK4(X0,X1,sK2),sK0) = sK0 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_46966,c_55]) ).

tcf(c_100961,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_65553]) ).

tcf(c_100962,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_54804]) ).

tcf(c_100963,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_30311]) ).

tcf(c_100966,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_28613]) ).

tcf(c_100967,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_27640]) ).

tcf(c_100970,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_26975]) ).

tcf(c_100973,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_2536]) ).

tcf(c_100974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_2529]) ).

tcf(c_100975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_1530]) ).

tcf(c_100976,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X1,sK2) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_1476]) ).

tcf(c_100977,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_3134]) ).

tcf(c_100978,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_1461]) ).

tcf(c_100979,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(X0,sK0) = sK0 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_46966,c_72]) ).

tcf(c_100981,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_46966,c_60]) ).

tcf(c_100982,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_68]) ).

tcf(c_100983,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_67]) ).

tcf(c_100984,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_37115]) ).

tcf(c_100985,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_66446]) ).

tcf(c_100986,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_30011]) ).

tcf(c_100987,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_28846]) ).

tcf(c_100988,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_25619]) ).

tcf(c_100989,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_25537]) ).

tcf(c_100990,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_28627]) ).

tcf(c_100991,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_24817]) ).

tcf(c_100992,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_24675]) ).

tcf(c_100993,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_27323]) ).

tcf(c_100994,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_27204]) ).

tcf(c_100995,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_26986]) ).

tcf(c_100996,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_26081]) ).

tcf(c_100998,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_25409]) ).

tcf(c_101001,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(X1,sK0) = sK0 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_46966,c_36424]) ).

tcf(c_101005,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_36417]) ).

tcf(c_101135,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_46968]) ).

tcf(c_101136,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_46968]) ).

tcf(c_101137,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_46968]) ).

tcf(c_101138,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_46968]) ).

tcf(c_101139,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1375,c_46968]) ).

tcf(c_101140,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40598,c_46968]) ).

tcf(c_101143,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(max(X1,X0),X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_46968]) ).

tcf(c_101144,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(max(X0,X1),X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_46968]) ).

tcf(c_101145,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(max(X1,X0),X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_46968]) ).

tcf(c_101146,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(max(X0,X1),X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_46968]) ).

tcf(c_101147,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,sK1,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_46968]) ).

tcf(c_101148,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_46968]) ).

tcf(c_101149,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,max(X1,X0),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_46968]) ).

tcf(c_101150,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,max(X0,X1),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_46968]) ).

tcf(c_101151,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,max(X1,X0),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_46968]) ).

tcf(c_101152,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,max(X0,X1),sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_46968]) ).

tcf(c_101153,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_46968]) ).

tcf(c_101154,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_46968]) ).

tcf(c_101155,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_46968]) ).

tcf(c_101156,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_46968]) ).

tcf(c_101158,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_46968]) ).

tcf(c_101159,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_46968]) ).

tcf(c_101160,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_46968]) ).

tcf(c_101161,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_46968]) ).

tcf(c_101163,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK2,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24429,c_46968]) ).

tcf(c_101164,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK2,sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24428,c_46968]) ).

tcf(c_101165,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_46968]) ).

tcf(c_101166,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,sK0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_46968]) ).

tcf(c_101169,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK5(sK0,sK1,sK2),sK2,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_38422,c_46968]) ).

tcf(c_101170,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK2,sK5(sK0,sK1,sK2),sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_31045,c_46968]) ).

tcf(c_101183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X3)
      | model_max(X1,X2,sK0)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_2536]) ).

tcf(c_101184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK2,sK2,X3)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_2529]) ).

tcf(c_101185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_1530]) ).

tcf(c_101186,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_46968,c_1476]) ).

tcf(c_101187,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_3134]) ).

tcf(c_101188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46968,c_1461]) ).

tcf(c_101189,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ~ lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_46968,c_72]) ).

tcf(c_101191,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_46968,c_60]) ).

tcf(c_101192,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46968,c_68]) ).

tcf(c_101193,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46968,c_67]) ).

tcf(c_101194,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_37115]) ).

tcf(c_101195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_66446]) ).

tcf(c_101196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46968,c_30011]) ).

tcf(c_101197,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46968,c_28846]) ).

tcf(c_101198,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_25619]) ).

tcf(c_101199,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_25537]) ).

tcf(c_101200,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_28627]) ).

tcf(c_101201,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_24817]) ).

tcf(c_101202,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_24675]) ).

tcf(c_101203,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46968,c_27323]) ).

tcf(c_101204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46968,c_27204]) ).

tcf(c_101205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_26986]) ).

tcf(c_101206,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_26081]) ).

tcf(c_101208,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | lesseq(sK0,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46968,c_25409]) ).

tcf(c_101210,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( sK1 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_46968,c_36424]) ).

tcf(c_101616,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | ( sK0 = sK2 )
      | ( max(sK1,sK4(X0,X1,sK2)) = sK1 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_47808,c_55]) ).

tcf(c_101617,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_65553]) ).

tcf(c_101618,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_54804]) ).

tcf(c_101619,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_30311]) ).

tcf(c_101622,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_28613]) ).

tcf(c_101623,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_27640]) ).

tcf(c_101626,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_26975]) ).

tcf(c_101629,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_2536]) ).

tcf(c_101630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_2529]) ).

tcf(c_101631,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_1530]) ).

tcf(c_101632,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_1476]) ).

tcf(c_101633,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_3134]) ).

tcf(c_101634,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X1) = X1 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_1461]) ).

tcf(c_101635,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_47808,c_72]) ).

tcf(c_101637,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_47808,c_60]) ).

tcf(c_101638,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_68]) ).

tcf(c_101639,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_67]) ).

tcf(c_101640,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_37115]) ).

tcf(c_101641,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_66446]) ).

tcf(c_101642,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_30011]) ).

tcf(c_101643,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_28846]) ).

tcf(c_101644,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_25619]) ).

tcf(c_101645,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_25537]) ).

tcf(c_101646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_28627]) ).

tcf(c_101647,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_24817]) ).

tcf(c_101648,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_24675]) ).

tcf(c_101649,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_27323]) ).

tcf(c_101650,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_27204]) ).

tcf(c_101651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_26986]) ).

tcf(c_101653,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_24529]) ).

tcf(c_101655,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_24427]) ).

tcf(c_101657,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_47808,c_36424]) ).

tcf(c_101661,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47808,c_36417]) ).

tcf(c_101970,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_101139,c_29276]) ).

tcf(c_101971,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_101139,c_28039]) ).

tcf(c_101977,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_101139,c_1405]) ).

tcf(c_101978,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(max(X0,X0),X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_101139,c_1496]) ).

tcf(c_101980,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_101139,c_1390]) ).

tcf(c_101981,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_101139,c_1376]) ).

tcf(c_101987,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_101970,c_1375]) ).

tcf(c_101992,plain,
    ( model_max(sK1,sK2,sK2)
    | model_max(sK0,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_34099,c_40598]) ).

tcf(c_101993,plain,
    ( model_max(sK2,sK0,sK2)
    | model_max(sK1,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_34100,c_40598]) ).

tcf(c_102001,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_29276]) ).

tcf(c_102002,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_28039]) ).

tcf(c_102008,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_34819,c_1405]) ).

tcf(c_102009,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK0,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_1496]) ).

tcf(c_102011,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_34819,c_1390]) ).

tcf(c_102012,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_34819,c_1376]) ).

tcf(c_102016,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK0,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_35184]) ).

tcf(c_102017,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK0,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_35183]) ).

tcf(c_102020,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK0,sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_29276]) ).

tcf(c_102021,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | model_max(sK0,sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_28039]) ).

tcf(c_102027,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_34819,c_1405]) ).

tcf(c_102028,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK1,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_1496]) ).

tcf(c_102030,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_34819,c_1390]) ).

tcf(c_102031,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_34819,c_1376]) ).

tcf(c_102033,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_35184]) ).

tcf(c_102034,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_35183]) ).

tcf(c_102039,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_102031,c_1375]) ).

tcf(c_102043,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_102030,c_1375]) ).

tcf(c_102048,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_102021,c_1375]) ).

tcf(c_102050,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_102017,c_40598]) ).

tcf(c_102052,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_102012,c_40598]) ).

tcf(c_102056,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_102011,c_40598]) ).

tcf(c_102061,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_102002,c_40598]) ).

tcf(c_102062,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_102001,c_40598]) ).

tcf(c_102067,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_102008,c_40598]) ).

tcf(c_102091,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | ( sK0 = sK2 )
      | ( max(sK4(X0,X1,sK2),sK1) = sK1 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_47809,c_55]) ).

tcf(c_102092,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_65553]) ).

tcf(c_102093,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_54804]) ).

tcf(c_102094,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_30311]) ).

tcf(c_102097,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_28613]) ).

tcf(c_102098,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_27640]) ).

tcf(c_102101,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_26975]) ).

tcf(c_102104,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_2536]) ).

tcf(c_102105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK2,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_2529]) ).

tcf(c_102106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_1530]) ).

tcf(c_102107,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X1,sK2) = X1 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_1476]) ).

tcf(c_102108,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_3134]) ).

tcf(c_102109,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_1461]) ).

tcf(c_102110,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(X0,sK1) = sK1 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_47809,c_72]) ).

tcf(c_102112,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_47809,c_60]) ).

tcf(c_102113,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_68]) ).

tcf(c_102114,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_67]) ).

tcf(c_102115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_37115]) ).

tcf(c_102116,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_66446]) ).

tcf(c_102117,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_30011]) ).

tcf(c_102118,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_28846]) ).

tcf(c_102119,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_25619]) ).

tcf(c_102120,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_25537]) ).

tcf(c_102121,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_28627]) ).

tcf(c_102122,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK2,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_24817]) ).

tcf(c_102123,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK1,X1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_24675]) ).

tcf(c_102124,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_27323]) ).

tcf(c_102125,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_27204]) ).

tcf(c_102126,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_26986]) ).

tcf(c_102128,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_24529]) ).

tcf(c_102130,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_24427]) ).

tcf(c_102132,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(X1,sK1) = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_47809,c_36424]) ).

tcf(c_102354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_47811]) ).

tcf(c_102355,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_47811]) ).

tcf(c_102356,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_47811]) ).

tcf(c_102357,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_47811]) ).

tcf(c_102362,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(max(X1,X0),X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_47811]) ).

tcf(c_102363,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(max(X0,X1),X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_47811]) ).

tcf(c_102364,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(max(X1,X0),X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_47811]) ).

tcf(c_102365,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(max(X0,X1),X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_47811]) ).

tcf(c_102366,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_47811]) ).

tcf(c_102367,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_47811]) ).

tcf(c_102368,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,max(X1,X0),sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_47811]) ).

tcf(c_102369,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,max(X0,X1),sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_47811]) ).

tcf(c_102370,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,max(X1,X0),sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_47811]) ).

tcf(c_102371,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,max(X0,X1),sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_47811]) ).

tcf(c_102372,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_47811]) ).

tcf(c_102373,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_47811]) ).

tcf(c_102374,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_47811]) ).

tcf(c_102375,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_47811]) ).

tcf(c_102376,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK2,sK0,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25410,c_47811]) ).

tcf(c_102377,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_47811]) ).

tcf(c_102378,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_47811]) ).

tcf(c_102379,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_47811]) ).

tcf(c_102380,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(X0,sK2,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_47811]) ).

tcf(c_102381,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25411,c_47811]) ).

tcf(c_102384,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_47811]) ).

tcf(c_102385,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,sK0,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_47811]) ).

tcf(c_102388,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK5(sK0,sK1,sK2),sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_38422,c_47811]) ).

tcf(c_102389,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK2,sK5(sK0,sK1,sK2),sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_31045,c_47811]) ).

tcf(c_102402,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X3)
      | model_max(X1,X2,sK1)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_2536]) ).

tcf(c_102403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK2,sK2,X3)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_2529]) ).

tcf(c_102404,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_1530]) ).

tcf(c_102405,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_47811,c_1476]) ).

tcf(c_102406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK2,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_3134]) ).

tcf(c_102407,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47811,c_1461]) ).

tcf(c_102408,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ~ lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_47811,c_72]) ).

tcf(c_102410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_47811,c_60]) ).

tcf(c_102411,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_47811,c_68]) ).

tcf(c_102412,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_47811,c_67]) ).

tcf(c_102413,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_37115]) ).

tcf(c_102414,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK0,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_66446]) ).

tcf(c_102415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47811,c_30011]) ).

tcf(c_102416,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47811,c_28846]) ).

tcf(c_102417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_25619]) ).

tcf(c_102418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_25537]) ).

tcf(c_102419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_28627]) ).

tcf(c_102420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_24817]) ).

tcf(c_102421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_24675]) ).

tcf(c_102422,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47811,c_27323]) ).

tcf(c_102423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_47811,c_27204]) ).

tcf(c_102424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_26986]) ).

tcf(c_102426,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_24529]) ).

tcf(c_102428,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | lesseq(sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47811,c_24427]) ).

tcf(c_102429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2))
      | ( sK0 = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_47811,c_36424]) ).

tcf(c_102932,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_49866]) ).

tcf(c_102933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_49866]) ).

tcf(c_102934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_49866]) ).

tcf(c_102939,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_49866]) ).

tcf(c_102958,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_49866]) ).

tcf(c_102959,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_49866]) ).

tcf(c_102962,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_49866]) ).

tcf(c_102963,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_49866]) ).

tcf(c_102966,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_49866]) ).

tcf(c_102967,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_49866]) ).

tcf(c_102970,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_49866]) ).

tcf(c_102971,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_49866]) ).

tcf(c_102972,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_49866]) ).

tcf(c_102973,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_49866]) ).

tcf(c_102983,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2537,c_49866]) ).

tcf(c_102984,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1491,c_49866]) ).

tcf(c_102985,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_49866]) ).

tcf(c_102987,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_49866]) ).

tcf(c_102988,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2538,c_49866]) ).

tcf(c_102991,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1493,c_49866]) ).

tcf(c_102997,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_49866]) ).

tcf(c_102998,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_49866]) ).

tcf(c_102999,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(X0,max(sK1,sK0),X1))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,max(sK1,sK0),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_49866]) ).

tcf(c_103000,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(max(sK1,sK0),X0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(max(sK1,sK0),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_49866]) ).

tcf(c_103003,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | lesseq(sK0,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25719,c_49866]) ).

tcf(c_103004,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | lesseq(sK0,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_49866]) ).

tcf(c_103008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_49866]) ).

tcf(c_103009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK1,sK0))
      | lesseq(sK0,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_49866]) ).

tcf(c_103012,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_49866]) ).

tcf(c_103015,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_49866]) ).

tcf(c_103017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_49866]) ).

tcf(c_103018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_49866]) ).

tcf(c_103019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_49866]) ).

tcf(c_103020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,max(sK1,sK0))
      | model_max(X0,X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_49866]) ).

tcf(c_103021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_49866]) ).

tcf(c_103022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_49866]) ).

tcf(c_103037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_49866]) ).

tcf(c_103038,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK1,sK0))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_49866]) ).

tcf(c_103072,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,max(sK1,sK0)))
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_49866]) ).

tcf(c_103073,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(max(sK1,sK0),X0))
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_49866]) ).

tcf(c_103074,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,max(sK1,sK0)))
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_49866]) ).

tcf(c_103075,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(max(sK1,sK0),X0))
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_49866]) ).

tcf(c_103771,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK4(sK0,sK1,sK2))
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,sK4(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_103809,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_104094,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ~ lesseq(sK2,max(sK0,sK1))
      | ~ lesseq(max(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_103809]) ).

tcf(c_105279,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,max(sK0,sK1),X1)
      | ~ lesseq(max(X0,max(sK0,sK1)),X1) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_105755,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK5(X0,X1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2))
      | ~ model_ub(X0,X1,sK4(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_108954,plain,
    ! [X0: $i] :
      ( model_max(X0,max(sK0,sK1),sK2)
      | ~ lesseq(max(X0,max(sK0,sK1)),sK2) ),
    inference(instantiation,[status(thm)],[c_105279]) ).

tcf(c_108956,plain,
    ( model_max(sK0,max(sK0,sK1),sK2)
    | ~ lesseq(max(sK0,max(sK0,sK1)),sK2) ),
    inference(instantiation,[status(thm)],[c_108954]) ).

tcf(c_111698,plain,
    ( lesseq(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2))
    | ~ model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_105755]) ).

tcf(c_112175,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_115457,plain,
    ( lesseq(sK2,sK5(sK0,sK1,sK4(sK0,sK1,sK2)))
    | ~ lesseq(sK2,max(sK0,sK1))
    | ~ lesseq(max(sK0,sK1),sK5(sK0,sK1,sK4(sK0,sK1,sK2))) ),
    inference(instantiation,[status(thm)],[c_104094]) ).

tcf(c_116250,plain,
    ( lesseq(sK2,sK4(sK0,sK1,sK2))
    | ~ lesseq(sK2,sK5(sK0,sK1,sK4(sK0,sK1,sK2)))
    | ~ lesseq(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_103771]) ).

tcf(c_117438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_50248]) ).

tcf(c_117439,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_50248]) ).

tcf(c_117440,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_50248]) ).

tcf(c_117445,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_50248]) ).

tcf(c_117462,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1387,c_50248]) ).

tcf(c_117464,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_50248]) ).

tcf(c_117465,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_50248]) ).

tcf(c_117468,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_50248]) ).

tcf(c_117469,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_50248]) ).

tcf(c_117472,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_50248]) ).

tcf(c_117473,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_50248]) ).

tcf(c_117476,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_50248]) ).

tcf(c_117477,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_50248]) ).

tcf(c_117478,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_50248]) ).

tcf(c_117479,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_50248]) ).

tcf(c_117487,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1373,c_50248]) ).

tcf(c_117489,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2537,c_50248]) ).

tcf(c_117490,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1491,c_50248]) ).

tcf(c_117491,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_50248]) ).

tcf(c_117493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_50248]) ).

tcf(c_117494,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2538,c_50248]) ).

tcf(c_117496,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_50248]) ).

tcf(c_117497,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1493,c_50248]) ).

tcf(c_117502,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ~ model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_63,c_50248]) ).

tcf(c_117503,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_50248]) ).

tcf(c_117504,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_50248]) ).

tcf(c_117505,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(X0,max(sK1,sK0),X1))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,max(sK1,sK0),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_50248]) ).

tcf(c_117506,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK5(max(sK1,sK0),X0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(max(sK1,sK0),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_50248]) ).

tcf(c_117509,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | lesseq(sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25719,c_50248]) ).

tcf(c_117510,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | lesseq(sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_50248]) ).

tcf(c_117514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK1,max(X1,X2))
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_50248]) ).

tcf(c_117515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK1,sK0))
      | lesseq(sK1,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_50248]) ).

tcf(c_117516,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1351,c_50248]) ).

tcf(c_117518,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_50248]) ).

tcf(c_117519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_50248]) ).

tcf(c_117521,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_50248]) ).

tcf(c_117523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_50248]) ).

tcf(c_117524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_50248]) ).

tcf(c_117525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_50248]) ).

tcf(c_117526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(X1,X2,max(sK1,sK0))
      | model_max(X0,X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_50248]) ).

tcf(c_117527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_50248]) ).

tcf(c_117528,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_50248]) ).

tcf(c_117543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_50248]) ).

tcf(c_117544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK1,sK0))
      | lesseq(sK1,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_50248]) ).

tcf(c_117574,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_50248]) ).

tcf(c_117578,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,max(sK1,sK0)))
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_50248]) ).

tcf(c_117579,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(max(sK1,sK0),X0))
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_50248]) ).

tcf(c_117580,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(X0,max(sK1,sK0)))
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_50248]) ).

tcf(c_117581,plain,
    ! [X0: $i] :
      ( lesseq(sK1,max(max(sK1,sK0),X0))
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_50248]) ).

tcf(c_117586,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_50248]) ).

tcf(c_117588,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_50248]) ).

tcf(c_127679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35185]) ).

tcf(c_127680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35185]) ).

tcf(c_127685,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34819,c_35185]) ).

tcf(c_127697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X2,X3)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3713,c_35185]) ).

tcf(c_127729,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1957,c_35185]) ).

tcf(c_127730,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X1,X0,X2)
      | ( max(X1,X0) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1581,c_35185]) ).

tcf(c_127732,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X1,X0) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2109,c_35185]) ).

tcf(c_127733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = X1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1586,c_35185]) ).

tcf(c_127735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35185]) ).

tcf(c_127736,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35185]) ).

tcf(c_127737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1904,c_35185]) ).

tcf(c_127739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35185]) ).

tcf(c_127740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35185]) ).

tcf(c_127741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,sK1,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1905,c_35185]) ).

tcf(c_127746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_35185]) ).

tcf(c_127747,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X0,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_35185]) ).

tcf(c_127752,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(X0,X0,X2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3710,c_35185]) ).

tcf(c_127755,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_15524,c_35185]) ).

tcf(c_127756,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,X2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3711,c_35185]) ).

tcf(c_127759,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | model_max(X2,X2,X3)
      | model_max(X0,X1,X2)
      | model_max(sK1,sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_3713,c_35185]) ).

tcf(c_127762,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(max(X0,sK1),sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2933,c_35185]) ).

tcf(c_127764,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK2,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42124,c_35185]) ).

tcf(c_127765,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40632,c_35185]) ).

tcf(c_127766,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6987,c_35185]) ).

tcf(c_127771,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(max(sK1,X0),sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_4543,c_35185]) ).

tcf(c_127777,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25638,c_35185]) ).

tcf(c_127802,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_7482,c_35185]) ).

tcf(c_127806,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25456,c_35185]) ).

tcf(c_127817,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(max(X0,sK1),sK1,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_14507,c_35185]) ).

tcf(c_127818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(max(sK1,X0),sK1,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_14802,c_35185]) ).

tcf(c_127819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,max(X0,sK1),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_18019,c_35185]) ).

tcf(c_127820,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,max(X0,sK1),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_15027,c_35185]) ).

tcf(c_127821,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,max(sK1,X0),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_17780,c_35185]) ).

tcf(c_127822,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,max(sK1,X0),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_18316,c_35185]) ).

tcf(c_127835,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_32636,c_35185]) ).

tcf(c_128056,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35477]) ).

tcf(c_128065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK1,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_35477,c_1405]) ).

tcf(c_128066,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | lesseq(max(sK1,sK1),X0) ),
    inference(superposition,[status(thm)],[c_35477,c_1496]) ).

tcf(c_128067,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK1,sK1,X2)
      | model_max(X1,X1,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_35477,c_3116]) ).

tcf(c_128068,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_35477,c_1390]) ).

tcf(c_128069,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35477,c_1376]) ).

tcf(c_128084,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35477,c_1405]) ).

tcf(c_128085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_35477,c_1496]) ).

tcf(c_128091,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_35477,c_29276]) ).

tcf(c_128092,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_35477,c_28039]) ).

tcf(c_128098,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK1,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_35477,c_1405]) ).

tcf(c_128099,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK1,sK1,X0)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_35477,c_1496]) ).

tcf(c_128101,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_35477,c_1390]) ).

tcf(c_128102,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_35477,c_1376]) ).

tcf(c_128199,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK2)
      | ( max(X0,sK1) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_35484]) ).

tcf(c_128201,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK2)
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_35484]) ).

tcf(c_128218,plain,
    ! [X0: $i] :
      ( model_max(max(X0,sK1),sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35484]) ).

tcf(c_128223,plain,
    ! [X0: $i] :
      ( lesseq(max(X0,sK1),sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(sK1,max(X0,sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35484,c_2108]) ).

tcf(c_128225,plain,
    ! [X0: $i] :
      ( lesseq(max(X0,sK1),sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(max(X0,sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35484,c_1585]) ).

tcf(c_128227,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(max(X1,sK1),sK1),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35484,c_1405]) ).

tcf(c_128228,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(max(X0,sK1),sK1),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35484,c_1496]) ).

tcf(c_128338,plain,
    ! [X0: $i] :
      ( model_max(X0,sK1,sK2)
      | ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_35487]) ).

tcf(c_128357,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,X0),sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35487]) ).

tcf(c_128362,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,X0),sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(sK1,max(sK1,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35487,c_2108]) ).

tcf(c_128364,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,X0),sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(max(sK1,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35487,c_1585]) ).

tcf(c_128366,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(max(sK1,X1),sK1),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35487,c_1405]) ).

tcf(c_128367,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(max(sK1,X0),sK1),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35487,c_1496]) ).

tcf(c_128425,plain,
    ! [X0: $i] :
      ( model_max(max(X0,sK1),sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35504]) ).

tcf(c_128430,plain,
    ! [X0: $i] :
      ( lesseq(max(X0,sK1),sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(sK1,max(X0,sK1)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35504,c_2108]) ).

tcf(c_128432,plain,
    ! [X0: $i] :
      ( lesseq(max(X0,sK1),sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(max(X0,sK1),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35504,c_1585]) ).

tcf(c_128434,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(max(X1,sK1),sK1),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35504,c_1405]) ).

tcf(c_128435,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(max(X0,sK1),sK1),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35504,c_1496]) ).

tcf(c_128510,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,X0),sK1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35505]) ).

tcf(c_128515,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,X0),sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(sK1,max(sK1,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35505,c_2108]) ).

tcf(c_128517,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,X0),sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(max(sK1,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_35505,c_1585]) ).

tcf(c_128519,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(max(sK1,X1),sK1),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35505,c_1405]) ).

tcf(c_128520,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(max(sK1,X0),sK1),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35505,c_1496]) ).

tcf(c_128581,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK2)
      | ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_35506]) ).

tcf(c_128598,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(X0,sK1),sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35506]) ).

tcf(c_128607,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,max(X1,sK1)),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35506,c_1405]) ).

tcf(c_128608,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK1,max(X0,sK1)),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35506,c_1496]) ).

tcf(c_128641,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK2)
      | ( max(X0,sK1) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_35507]) ).

tcf(c_128643,plain,
    ! [X0: $i] :
      ( model_max(sK1,X0,sK2)
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_35507]) ).

tcf(c_128660,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(X0,sK1),sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35507]) ).

tcf(c_128669,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,max(X1,sK1)),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35507,c_1405]) ).

tcf(c_128670,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK1,max(X0,sK1)),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35507,c_1496]) ).

tcf(c_128747,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,X0),sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35508]) ).

tcf(c_128756,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,max(sK1,X1)),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35508,c_1405]) ).

tcf(c_128757,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK1,max(sK1,X0)),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_35508,c_1496]) ).

tcf(c_128819,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_117502]) ).

tcf(c_128853,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_67361]) ).

tcf(c_128854,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_67361]) ).

tcf(c_128855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_67361]) ).

tcf(c_128860,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_67361]) ).

tcf(c_128877,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1387,c_67361]) ).

tcf(c_128879,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_67361]) ).

tcf(c_128880,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_67361]) ).

tcf(c_128883,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_67361]) ).

tcf(c_128884,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_67361]) ).

tcf(c_128887,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_67361]) ).

tcf(c_128888,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_67361]) ).

tcf(c_128891,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_67361]) ).

tcf(c_128892,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_67361]) ).

tcf(c_128893,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_67361]) ).

tcf(c_128894,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_67361]) ).

tcf(c_128902,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1373,c_67361]) ).

tcf(c_128904,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2537,c_67361]) ).

tcf(c_128905,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1491,c_67361]) ).

tcf(c_128906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_67361]) ).

tcf(c_128908,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_67361]) ).

tcf(c_128909,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2538,c_67361]) ).

tcf(c_128911,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_67361]) ).

tcf(c_128912,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1493,c_67361]) ).

tcf(c_128917,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_63,c_67361]) ).

tcf(c_128918,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_67361]) ).

tcf(c_128919,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_67361]) ).

tcf(c_128920,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(X0,max(sK1,sK0),X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,max(sK1,sK0),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_67361]) ).

tcf(c_128921,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK5(max(sK1,sK0),X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(max(sK1,sK0),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_67361]) ).

tcf(c_128924,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | lesseq(sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25719,c_67361]) ).

tcf(c_128925,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | lesseq(sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_67361]) ).

tcf(c_128929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_67361]) ).

tcf(c_128930,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK1,sK0))
      | lesseq(sK0,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_67361]) ).

tcf(c_128931,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1351,c_67361]) ).

tcf(c_128933,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_67361]) ).

tcf(c_128934,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_67361]) ).

tcf(c_128936,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_67361]) ).

tcf(c_128938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_67361]) ).

tcf(c_128939,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_67361]) ).

tcf(c_128940,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_67361]) ).

tcf(c_128941,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(X1,X2,max(sK1,sK0))
      | model_max(X0,X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_67361]) ).

tcf(c_128942,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_67361]) ).

tcf(c_128943,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_67361]) ).

tcf(c_128958,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_67361]) ).

tcf(c_128959,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK1,sK0))
      | lesseq(sK0,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_67361]) ).

tcf(c_128990,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_67361]) ).

tcf(c_128993,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,max(sK1,sK0)))
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_67361]) ).

tcf(c_128994,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(max(sK1,sK0),X0))
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_67361]) ).

tcf(c_128995,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(X0,max(sK1,sK0)))
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_67361]) ).

tcf(c_128996,plain,
    ! [X0: $i] :
      ( lesseq(sK0,max(max(sK1,sK0),X0))
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_67361]) ).

tcf(c_129000,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_67361]) ).

tcf(c_129002,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_67361]) ).

tcf(c_129404,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1958,c_128917]) ).

tcf(c_129430,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_73651]) ).

tcf(c_129431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_73651]) ).

tcf(c_129432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_73651]) ).

tcf(c_129437,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_73651]) ).

tcf(c_129443,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36587,c_73651]) ).

tcf(c_129444,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25641,c_73651]) ).

tcf(c_129445,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25559,c_73651]) ).

tcf(c_129446,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25402,c_73651]) ).

tcf(c_129447,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24839,c_73651]) ).

tcf(c_129448,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24697,c_73651]) ).

tcf(c_129449,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24420,c_73651]) ).

tcf(c_129454,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1387,c_73651]) ).

tcf(c_129456,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_73651]) ).

tcf(c_129457,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_73651]) ).

tcf(c_129460,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_73651]) ).

tcf(c_129461,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_73651]) ).

tcf(c_129464,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_73651]) ).

tcf(c_129465,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_73651]) ).

tcf(c_129466,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_73651]) ).

tcf(c_129467,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_73651]) ).

tcf(c_129468,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_73651]) ).

tcf(c_129469,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_73651]) ).

tcf(c_129470,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_73651]) ).

tcf(c_129471,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_73651]) ).

tcf(c_129472,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK1,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_73651]) ).

tcf(c_129473,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_73651]) ).

tcf(c_129474,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_73651]) ).

tcf(c_129475,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_73651]) ).

tcf(c_129476,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_73651]) ).

tcf(c_129479,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1373,c_73651]) ).

tcf(c_129481,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2537,c_73651]) ).

tcf(c_129482,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1491,c_73651]) ).

tcf(c_129483,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_73651]) ).

tcf(c_129485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_73651]) ).

tcf(c_129486,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2538,c_73651]) ).

tcf(c_129488,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_73651]) ).

tcf(c_129489,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1493,c_73651]) ).

tcf(c_129494,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ~ model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_63,c_73651]) ).

tcf(c_129495,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_73651]) ).

tcf(c_129496,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_73651]) ).

tcf(c_129497,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,max(sK1,sK0),X1))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,max(sK1,sK0),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_73651]) ).

tcf(c_129498,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(max(sK1,sK0),X0,X1))
      | ( sK1 = sK2 )
      | ~ model_ub(max(sK1,sK0),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_73651]) ).

tcf(c_129499,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46208,c_73651]) ).

tcf(c_129500,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_38694,c_73651]) ).

tcf(c_129501,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | lesseq(sK2,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25719,c_73651]) ).

tcf(c_129502,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | lesseq(sK2,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_73651]) ).

tcf(c_129503,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37867,c_73651]) ).

tcf(c_129504,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_33773,c_73651]) ).

tcf(c_129505,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_33166,c_73651]) ).

tcf(c_129506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK2,max(X1,X2))
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_73651]) ).

tcf(c_129507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK1,sK0))
      | lesseq(sK2,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_73651]) ).

tcf(c_129508,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1351,c_73651]) ).

tcf(c_129510,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_73651]) ).

tcf(c_129511,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_73651]) ).

tcf(c_129513,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,max(sK1,sK0))
      | ( sK1 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_73651]) ).

tcf(c_129515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_73651]) ).

tcf(c_129516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_73651]) ).

tcf(c_129517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_73651]) ).

tcf(c_129518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,max(sK1,sK0))
      | model_max(X0,X0,max(X1,X2))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_73651]) ).

tcf(c_129519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_73651]) ).

tcf(c_129520,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_73651]) ).

tcf(c_129521,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_46229,c_73651]) ).

tcf(c_129522,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_38717,c_73651]) ).

tcf(c_129524,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37890,c_73651]) ).

tcf(c_129526,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37376,c_73651]) ).

tcf(c_129527,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33796,c_73651]) ).

tcf(c_129528,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33189,c_73651]) ).

tcf(c_129535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_73651]) ).

tcf(c_129536,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK1,sK0))
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_73651]) ).

tcf(c_129539,plain,
    ( lesseq(sK2,sK2)
    | ( sK1 = sK2 )
    | ~ model_max(sK1,sK0,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_73651]) ).

tcf(c_129544,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_46230,c_73651]) ).

tcf(c_129546,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_38718,c_73651]) ).

tcf(c_129550,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37891,c_73651]) ).

tcf(c_129554,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37377,c_73651]) ).

tcf(c_129555,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33797,c_73651]) ).

tcf(c_129556,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33190,c_73651]) ).

tcf(c_129566,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_73651]) ).

tcf(c_129570,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,max(sK1,sK0)))
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_73651]) ).

tcf(c_129571,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(max(sK1,sK0),X0))
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_73651]) ).

tcf(c_129572,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,max(sK1,sK0)))
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_73651]) ).

tcf(c_129573,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(max(sK1,sK0),X0))
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_73651]) ).

tcf(c_129578,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_73651]) ).

tcf(c_129579,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_73651]) ).

tcf(c_129580,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_73651]) ).

tcf(c_130160,plain,
    ( model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40743,c_35509]) ).

tcf(c_130175,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,X0),sK1)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_35509]) ).

tcf(c_130184,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,max(sK1,X1)),X0)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_35509,c_1405]) ).

tcf(c_130185,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(sK1,max(sK1,X0)),X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_35509,c_1496]) ).

tcf(c_130224,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK1,sK0))
      | lesseq(sK4(X0,X1,max(sK1,sK0)),sK2)
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_36516,c_55]) ).

tcf(c_130237,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36516,c_2536]) ).

tcf(c_130238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36516,c_2529]) ).

tcf(c_130239,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36516,c_1530]) ).

tcf(c_130240,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_36516,c_1476]) ).

tcf(c_130241,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36516,c_3134]) ).

tcf(c_130242,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_36516,c_1461]) ).

tcf(c_130243,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_36516,c_72]) ).

tcf(c_130317,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK2,max(sK1,sK0),sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_47811]) ).

tcf(c_130333,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ~ model_max(sK2,max(sK1,sK0),sK1) ),
    inference(superposition,[status(thm)],[c_36518,c_32627]) ).

tcf(c_130344,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(max(sK1,sK0),sK2) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_36518,c_2865]) ).

tcf(c_130349,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK2,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_36518,c_2861]) ).

tcf(c_130351,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36518,c_1437]) ).

tcf(c_130355,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_1462]) ).

tcf(c_130356,plain,
    ( model_max(sK2,max(sK1,sK0),sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_1353]) ).

tcf(c_130357,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK2,max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_36518,c_63]) ).

tcf(c_130358,plain,
    ! [X0: $i] :
      ( model_max(sK2,max(sK1,sK0),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36518,c_62]) ).

tcf(c_130369,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_1463]) ).

tcf(c_130377,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK2,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_3713]) ).

tcf(c_130378,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | model_max(sK2,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_2539]) ).

tcf(c_130379,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(sK2,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_2532]) ).

tcf(c_130380,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK2,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_1497]) ).

tcf(c_130381,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(sK2,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_1851]) ).

tcf(c_130382,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_1351]) ).

tcf(c_130383,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(sK2,max(sK1,sK0),max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_1440]) ).

tcf(c_130456,plain,
    ! [X0: $i] :
      ( lesseq(max(sK2,max(sK1,sK0)),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_130356,c_1405]) ).

tcf(c_130457,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(sK2,max(sK1,sK0)),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_130356,c_1496]) ).

tcf(c_130459,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK2,max(sK1,sK0))) = sK2 ) ),
    inference(superposition,[status(thm)],[c_130356,c_1390]) ).

tcf(c_130460,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK2,max(sK1,sK0)),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_130356,c_1376]) ).

tcf(c_130505,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK1)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2111,c_129494]) ).

tcf(c_130532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_74722]) ).

tcf(c_130533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_74722]) ).

tcf(c_130534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_74722]) ).

tcf(c_130539,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_74722]) ).

tcf(c_130545,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36587,c_74722]) ).

tcf(c_130546,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25641,c_74722]) ).

tcf(c_130547,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25559,c_74722]) ).

tcf(c_130548,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25402,c_74722]) ).

tcf(c_130549,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24839,c_74722]) ).

tcf(c_130550,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24697,c_74722]) ).

tcf(c_130551,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24420,c_74722]) ).

tcf(c_130556,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1387,c_74722]) ).

tcf(c_130558,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_74722]) ).

tcf(c_130559,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_74722]) ).

tcf(c_130562,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_74722]) ).

tcf(c_130563,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_74722]) ).

tcf(c_130566,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_74722]) ).

tcf(c_130567,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_74722]) ).

tcf(c_130568,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44769,c_74722]) ).

tcf(c_130569,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40745,c_74722]) ).

tcf(c_130570,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_74722]) ).

tcf(c_130571,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_74722]) ).

tcf(c_130572,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_74722]) ).

tcf(c_130573,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_74722]) ).

tcf(c_130574,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK1,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35446,c_74722]) ).

tcf(c_130575,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25639,c_74722]) ).

tcf(c_130576,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25557,c_74722]) ).

tcf(c_130577,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24837,c_74722]) ).

tcf(c_130578,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24695,c_74722]) ).

tcf(c_130581,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1373,c_74722]) ).

tcf(c_130583,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2537,c_74722]) ).

tcf(c_130584,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1491,c_74722]) ).

tcf(c_130585,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_74722]) ).

tcf(c_130587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_74722]) ).

tcf(c_130588,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_2538,c_74722]) ).

tcf(c_130590,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_74722]) ).

tcf(c_130591,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_1493,c_74722]) ).

tcf(c_130597,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_74722]) ).

tcf(c_130598,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_74722]) ).

tcf(c_130599,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(X0,max(sK1,sK0),X1))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,max(sK1,sK0),X1) ),
    inference(superposition,[status(thm)],[c_1652,c_74722]) ).

tcf(c_130600,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK5(max(sK1,sK0),X0,X1))
      | ( sK0 = sK2 )
      | ~ model_ub(max(sK1,sK0),X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_74722]) ).

tcf(c_130601,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK0,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46208,c_74722]) ).

tcf(c_130602,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK0,sK2,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_38694,c_74722]) ).

tcf(c_130603,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25719,c_74722]) ).

tcf(c_130604,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25039,c_74722]) ).

tcf(c_130605,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK2,sK0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37867,c_74722]) ).

tcf(c_130606,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK1,sK2,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_33773,c_74722]) ).

tcf(c_130607,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | model_max(sK2,sK1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_33166,c_74722]) ).

tcf(c_130608,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK2,max(X1,X2))
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_74722]) ).

tcf(c_130609,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X0,X1,X2)
      | lesseq(X2,max(sK1,sK0))
      | lesseq(sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_74722]) ).

tcf(c_130610,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1351,c_74722]) ).

tcf(c_130612,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_74722]) ).

tcf(c_130613,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_74722]) ).

tcf(c_130615,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,max(sK1,sK0))
      | ( sK0 = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_74722]) ).

tcf(c_130617,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_74722]) ).

tcf(c_130618,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_74722]) ).

tcf(c_130619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_74722]) ).

tcf(c_130620,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(X1,X2,max(sK1,sK0))
      | model_max(X0,X0,max(X1,X2))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_74722]) ).

tcf(c_130621,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_74722]) ).

tcf(c_130622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_74722]) ).

tcf(c_130623,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_46229,c_74722]) ).

tcf(c_130624,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_38717,c_74722]) ).

tcf(c_130626,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37890,c_74722]) ).

tcf(c_130628,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37376,c_74722]) ).

tcf(c_130629,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33796,c_74722]) ).

tcf(c_130630,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33189,c_74722]) ).

tcf(c_130637,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_74722]) ).

tcf(c_130638,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,max(sK1,sK0))
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_74722]) ).

tcf(c_130641,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ~ model_max(sK1,sK0,sK1) ),
    inference(superposition,[status(thm)],[c_32627,c_74722]) ).

tcf(c_130646,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_46230,c_74722]) ).

tcf(c_130648,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_38718,c_74722]) ).

tcf(c_130652,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37891,c_74722]) ).

tcf(c_130656,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_37377,c_74722]) ).

tcf(c_130657,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33797,c_74722]) ).

tcf(c_130658,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_33190,c_74722]) ).

tcf(c_130673,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,max(sK1,sK0)))
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_74722]) ).

tcf(c_130674,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(max(sK1,sK0),X0))
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_74722]) ).

tcf(c_130675,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(X0,max(sK1,sK0)))
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_74722]) ).

tcf(c_130676,plain,
    ! [X0: $i] :
      ( lesseq(sK2,max(max(sK1,sK0),X0))
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_74722]) ).

tcf(c_130680,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1462,c_74722]) ).

tcf(c_130682,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1477,c_74722]) ).

tcf(c_130683,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_1463,c_74722]) ).

tcf(c_131334,plain,
    ( lesseq(sK2,sK2)
    | model_max(max(sK1,sK0),sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_47811]) ).

tcf(c_131350,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ~ model_max(max(sK1,sK0),sK2,sK1) ),
    inference(superposition,[status(thm)],[c_36519,c_32627]) ).

tcf(c_131368,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK1,sK0),sK2,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36519,c_1437]) ).

tcf(c_131373,plain,
    ( model_max(max(sK1,sK0),sK2,sK2)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_1353]) ).

tcf(c_131374,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ model_max(max(sK1,sK0),sK2,X0) ),
    inference(superposition,[status(thm)],[c_36519,c_63]) ).

tcf(c_131375,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,sK0),sK2,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_36519,c_62]) ).

tcf(c_131394,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_3713]) ).

tcf(c_131395,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | model_max(max(sK1,sK0),sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_2539]) ).

tcf(c_131396,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_2532]) ).

tcf(c_131397,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_1497]) ).

tcf(c_131398,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | model_max(max(sK1,sK0),sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_1851]) ).

tcf(c_131399,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(max(sK1,sK0),sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_1351]) ).

tcf(c_131400,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | model_max(max(sK1,sK0),sK2,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_1440]) ).

tcf(c_131467,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK1,sK0),sK2),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_131373,c_1405]) ).

tcf(c_131468,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(max(max(sK1,sK0),sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_131373,c_1496]) ).

tcf(c_131470,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(max(sK1,sK0),sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_131373,c_1390]) ).

tcf(c_131471,plain,
    ( ( sK0 = sK2 )
    | ( max(max(max(sK1,sK0),sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_131373,c_1376]) ).

tcf(c_131521,plain,
    model_max(sK0,max(sK0,sK1),sK2),
    inference(global_subsumption_just,[status(thm)],[c_38224,c_73,c_80,c_81,c_83,c_85,c_599,c_1639,c_1875,c_2072,c_2247,c_2485,c_2891,c_2974,c_3364,c_3626,c_5341,c_5344,c_6233,c_6543,c_6572,c_7938,c_8465,c_8488,c_8937,c_9378,c_12289,c_15740,c_15741,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27176,c_27178,c_108956]) ).

tcf(c_131529,plain,
    ( model_max(sK2,sK0,sK2)
    | model_max(sK0,sK2,sK2) ),
    inference(light_normalisation,[status(thm)],[c_38958,c_40598]) ).

tcf(c_131532,plain,
    ! [X0: $i] :
      ( ~ lesseq(sK2,X0)
      | ( max(X0,sK1) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_27202,c_24427,c_112175]) ).

tcf(c_131533,plain,
    ! [X0: $i] :
      ( ( max(X0,sK1) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(renaming,[status(thm)],[c_131532]) ).

tcf(c_131607,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(X0,sK1) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_131533]) ).

tcf(c_131608,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_131533]) ).

tcf(c_131633,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_131533]) ).

tcf(c_131652,plain,
    ( ( max(sK1,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_131533]) ).

tcf(c_131654,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_47811,c_131533]) ).

tcf(c_131655,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46968,c_131533]) ).

tcf(c_131691,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,sK1) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_131533]) ).

tcf(c_131719,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_2108]) ).

tcf(c_131720,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_1956]) ).

tcf(c_131721,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_1585]) ).

tcf(c_131722,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_1580]) ).

tcf(c_131723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X1,X2),X0)
      | ( max(max(X1,X2),sK1) = max(X1,X2) )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27208,c_1405]) ).

tcf(c_131724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_1496]) ).

tcf(c_131729,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK0,sK1),sK1) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_40730]) ).

tcf(c_131732,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK0,sK2),sK1) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_27208,c_25625]) ).

tcf(c_131733,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK2,sK0),sK1) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_27208,c_25543]) ).

tcf(c_131740,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK2,sK1),sK1) = max(sK2,sK1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_24681]) ).

tcf(c_131741,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK1,sK2),sK1) = max(sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_27208,c_24823]) ).

tcf(c_131742,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK2,sK5(sK0,sK1,sK2)),sK1) = max(sK2,sK5(sK0,sK1,sK2)) ) ),
    inference(superposition,[status(thm)],[c_27208,c_31071]) ).

tcf(c_131743,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK5(sK0,sK1,sK2),sK2),sK1) = max(sK5(sK0,sK1,sK2),sK2) ) ),
    inference(superposition,[status(thm)],[c_27208,c_38452]) ).

tcf(c_131775,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27321]) ).

tcf(c_131776,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27321]) ).

tcf(c_131825,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_59,c_27321]) ).

tcf(c_131826,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_27321]) ).

tcf(c_131827,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(sK2,X1) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27321]) ).

tcf(c_131830,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27321]) ).

tcf(c_131831,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( X1 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_27321]) ).

tcf(c_131833,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_27321]) ).

tcf(c_131834,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X1 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27321]) ).

tcf(c_131837,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( X1 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_27321]) ).

tcf(c_131838,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( X1 = sK2 )
      | ( max(sK1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_27321]) ).

tcf(c_131841,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_27321]) ).

tcf(c_131842,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_27321]) ).

tcf(c_131843,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_27321]) ).

tcf(c_131844,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_27321]) ).

tcf(c_131845,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_27321]) ).

tcf(c_131846,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_27321]) ).

tcf(c_131847,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_27321]) ).

tcf(c_131857,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2532,c_27321]) ).

tcf(c_131858,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1497,c_27321]) ).

tcf(c_131859,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(X0,X1) = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1351,c_27321]) ).

tcf(c_131861,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_27321]) ).

tcf(c_131862,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_27321]) ).

tcf(c_131863,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_27321]) ).

tcf(c_131864,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_27321]) ).

tcf(c_131865,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1494,c_27321]) ).

tcf(c_131866,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_27321]) ).

tcf(c_131867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_27321]) ).

tcf(c_131868,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_27321]) ).

tcf(c_131869,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2))
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_27321]) ).

tcf(c_131870,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_27321]) ).

tcf(c_131871,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_27321]) ).

tcf(c_131886,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_27321]) ).

tcf(c_131887,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_27321]) ).

tcf(c_131888,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_27321]) ).

tcf(c_131890,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_47811,c_27321]) ).

tcf(c_131891,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46968,c_27321]) ).

tcf(c_131925,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_74460,c_27321]) ).

tcf(c_131926,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(sK1,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_73342,c_27321]) ).

tcf(c_131927,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_27321]) ).

tcf(c_132383,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_29276]) ).

tcf(c_132384,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_28039]) ).

tcf(c_132390,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK0)
      | lesseq(max(sK2,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40624,c_1405]) ).

tcf(c_132391,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK2,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_1496]) ).

tcf(c_132392,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_3116]) ).

tcf(c_132393,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40624,c_1390]) ).

tcf(c_132394,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40624,c_1376]) ).

tcf(c_132395,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_35185]) ).

tcf(c_132396,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(max(sK2,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_35184]) ).

tcf(c_132397,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK2,max(sK2,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_35183]) ).

tcf(c_132400,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40624,c_7476]) ).

tcf(c_132402,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_29276]) ).

tcf(c_132403,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_28039]) ).

tcf(c_132409,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40624,c_1405]) ).

tcf(c_132410,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_1496]) ).

tcf(c_132411,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40624,c_3116]) ).

tcf(c_132412,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40624,c_1390]) ).

tcf(c_132413,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40624,c_1376]) ).

tcf(c_132427,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_132413,c_1375]) ).

tcf(c_132431,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_132412,c_1375]) ).

tcf(c_132437,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_132402,c_1375]) ).

tcf(c_132438,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_132397,c_25410]) ).

tcf(c_132440,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_132394,c_25410]) ).

tcf(c_132444,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_132393,c_25410]) ).

tcf(c_132449,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_132384,c_25410]) ).

tcf(c_132450,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_132383,c_25410]) ).

tcf(c_132459,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_132390,c_25410]) ).

tcf(c_132508,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_29276]) ).

tcf(c_132509,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_28039]) ).

tcf(c_132515,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK0)
      | lesseq(max(sK0,sK2),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40625,c_1405]) ).

tcf(c_132516,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK0,sK2),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_1496]) ).

tcf(c_132517,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_3116]) ).

tcf(c_132518,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40625,c_1390]) ).

tcf(c_132519,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40625,c_1376]) ).

tcf(c_132520,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_35185]) ).

tcf(c_132521,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(max(sK0,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_35184]) ).

tcf(c_132522,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK2,max(sK0,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_35183]) ).

tcf(c_132526,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_29276]) ).

tcf(c_132527,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_28039]) ).

tcf(c_132533,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40625,c_1405]) ).

tcf(c_132534,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_1496]) ).

tcf(c_132535,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK0,sK2,X0)
      | model_max(X0,X0,X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40625,c_3116]) ).

tcf(c_132536,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40625,c_1390]) ).

tcf(c_132537,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40625,c_1376]) ).

tcf(c_132551,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_132537,c_1375]) ).

tcf(c_132555,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_132536,c_1375]) ).

tcf(c_132561,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_132526,c_1375]) ).

tcf(c_132583,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40626,c_28039]) ).

tcf(c_132585,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40626,c_2108]) ).

tcf(c_132587,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK2,sK0) = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40626,c_1585]) ).

tcf(c_132589,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK2,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40626,c_1405]) ).

tcf(c_132590,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK2,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40626,c_1496]) ).

tcf(c_132591,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK2,sK0,X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40626,c_3116]) ).

tcf(c_132592,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40626,c_1390]) ).

tcf(c_132593,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40626,c_1376]) ).

tcf(c_132595,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK2,sK0),sK2) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_40626,c_35184]) ).

tcf(c_132596,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,max(sK2,sK0)) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_40626,c_35183]) ).

tcf(c_132604,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(light_normalisation,[status(thm)],[c_132596,c_25410]) ).

tcf(c_132606,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(light_normalisation,[status(thm)],[c_132593,c_25410]) ).

tcf(c_132610,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(light_normalisation,[status(thm)],[c_132592,c_25410]) ).

tcf(c_132615,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(light_normalisation,[status(thm)],[c_132583,c_25410]) ).

tcf(c_132616,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_132589,c_25410]) ).

tcf(c_132623,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ~ model_max(sK2,sK0,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_40627,c_25409,c_25543]) ).

tcf(c_132639,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(max(sK2,sK0),X0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1438,c_132623]) ).

tcf(c_132642,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(X0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_1439,c_132623]) ).

tcf(c_132643,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_3713,c_132623]) ).

tcf(c_132644,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_2539,c_132623]) ).

tcf(c_132645,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_2532,c_132623]) ).

tcf(c_132646,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_1497,c_132623]) ).

tcf(c_132647,plain,
    lesseq(sK0,max(sK2,sK0)),
    inference(superposition,[status(thm)],[c_1353,c_132623]) ).

tcf(c_132648,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK2,sK0)) ),
    inference(superposition,[status(thm)],[c_1440,c_132623]) ).

tcf(c_132654,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK0,sK2) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_2109,c_132623]) ).

tcf(c_132655,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(sK2,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_1586,c_132623]) ).

tcf(c_132699,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(light_normalisation,[status(thm)],[c_132655,c_25410]) ).

tcf(c_132718,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40628,c_28039]) ).

tcf(c_132724,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK0,sK2),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40628,c_1405]) ).

tcf(c_132725,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK0,sK2),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40628,c_1496]) ).

tcf(c_132726,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK2,X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40628,c_3116]) ).

tcf(c_132727,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40628,c_1390]) ).

tcf(c_132728,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_40628,c_1376]) ).

tcf(c_132730,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK0,sK2),sK2) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_40628,c_35184]) ).

tcf(c_132731,plain,
    ( ( sK1 = sK2 )
    | ( max(sK2,max(sK0,sK2)) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_40628,c_35183]) ).

tcf(c_132751,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_40604,c_27327]) ).

tcf(c_132756,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_2108]) ).

tcf(c_132757,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X0 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_1956]) ).

tcf(c_132758,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_1585]) ).

tcf(c_132759,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X0 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_1580]) ).

tcf(c_132760,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X1,X2),X0)
      | ( max(sK1,max(X1,X2)) = max(X1,X2) )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_27327,c_1405]) ).

tcf(c_132761,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_1496]) ).

tcf(c_132766,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_40730]) ).

tcf(c_132769,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_27327,c_25625]) ).

tcf(c_132771,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_27327,c_25543]) ).

tcf(c_132777,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,max(sK2,sK1)) = max(sK2,sK1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_24681]) ).

tcf(c_132778,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,max(sK1,sK2)) = max(sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_27327,c_24823]) ).

tcf(c_132779,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,max(sK2,sK5(sK0,sK1,sK2))) = max(sK2,sK5(sK0,sK1,sK2)) ) ),
    inference(superposition,[status(thm)],[c_27327,c_31071]) ).

tcf(c_132780,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,max(sK5(sK0,sK1,sK2),sK2)) = max(sK5(sK0,sK1,sK2),sK2) ) ),
    inference(superposition,[status(thm)],[c_27327,c_38452]) ).

tcf(c_132809,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ~ model_max(sK0,sK2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_40629,c_73,c_80,c_81,c_83,c_85,c_508,c_519,c_599,c_1571,c_1616,c_1639,c_1875,c_2072,c_2247,c_2360,c_2485,c_2891,c_2974,c_3364,c_3625,c_3626,c_4429,c_4760,c_4761,c_4772,c_4965,c_5326,c_5341,c_5344,c_5834,c_6122,c_6233,c_6543,c_6572,c_6811,c_7938,c_8124,c_8465,c_8488,c_8937,c_9378,c_9399,c_9402,c_10603,c_12289,c_14080,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27176,c_27178,c_27412,c_30781,c_31001,c_34041,c_37290,c_52351,c_74183,c_96483,c_111698,c_115457,c_116250]) ).

tcf(c_132825,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(max(sK0,sK2),X0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_1438,c_132809]) ).

tcf(c_132828,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( max(X0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_1439,c_132809]) ).

tcf(c_132829,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_3713,c_132809]) ).

tcf(c_132830,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_2539,c_132809]) ).

tcf(c_132831,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_2532,c_132809]) ).

tcf(c_132832,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_1497,c_132809]) ).

tcf(c_132833,plain,
    lesseq(sK0,max(sK0,sK2)),
    inference(superposition,[status(thm)],[c_1353,c_132809]) ).

tcf(c_132834,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,max(X0,X1))
      | model_max(X0,X1,max(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_1440,c_132809]) ).

tcf(c_132877,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_132809]) ).

tcf(c_132896,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK1)
      | ( max(sK1,sK0) = sK0 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_40733,c_55]) ).

tcf(c_132897,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_65553]) ).

tcf(c_132898,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_54804]) ).

tcf(c_132899,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_30311]) ).

tcf(c_132902,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_28613]) ).

tcf(c_132903,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_27640]) ).

tcf(c_132906,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_26975]) ).

tcf(c_132910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_2529]) ).

tcf(c_132912,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_1476]) ).

tcf(c_132914,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_1461]) ).

tcf(c_132915,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_40733,c_72]) ).

tcf(c_132917,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40733,c_60]) ).

tcf(c_132920,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_27321]) ).

tcf(c_132922,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_37115]) ).

tcf(c_132923,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_66446]) ).

tcf(c_132924,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_30011]) ).

tcf(c_132925,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_28846]) ).

tcf(c_132926,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_25619]) ).

tcf(c_132927,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_25537]) ).

tcf(c_132928,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_28627]) ).

tcf(c_132929,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_24817]) ).

tcf(c_132930,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_24675]) ).

tcf(c_132931,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_27323]) ).

tcf(c_132932,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_27204]) ).

tcf(c_132933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_26986]) ).

tcf(c_132939,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_40733,c_36424]) ).

tcf(c_132947,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_65553]) ).

tcf(c_132948,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_54804]) ).

tcf(c_132951,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_28649]) ).

tcf(c_132955,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_27007]) ).

tcf(c_132959,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_2536]) ).

tcf(c_132960,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_2529]) ).

tcf(c_132961,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_1530]) ).

tcf(c_132962,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_1476]) ).

tcf(c_132964,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40733,c_1461]) ).

tcf(c_132965,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( X0 = sK1 )
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40733,c_72]) ).

tcf(c_132967,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40733,c_60]) ).

tcf(c_132968,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40733,c_68]) ).

tcf(c_132969,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_40733,c_67]) ).

tcf(c_132970,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_30546]) ).

tcf(c_132971,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_27794]) ).

tcf(c_132972,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_1437]) ).

tcf(c_132973,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | lesseq(sK2,max(X0,X1))
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_62]) ).

tcf(c_132974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( max(sK1,sK0) = sK0 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40733,c_1762]) ).

tcf(c_132975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ( max(sK1,sK0) = sK0 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40733,c_1733]) ).

tcf(c_132976,plain,
    ( lesseq(sK2,sK2)
    | ( sK1 = sK2 )
    | ( max(sK1,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_27321]) ).

tcf(c_132977,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK1,sK1) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_131533]) ).

tcf(c_132990,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_26081]) ).

tcf(c_132999,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_36420]) ).

tcf(c_133000,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40733,c_36417]) ).

tcf(c_133001,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40733,c_36414]) ).

tcf(c_133280,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X0,X2)
      | lesseq(max(sK0,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40744,c_1405]) ).

tcf(c_133281,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_40744,c_1496]) ).

tcf(c_133283,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,max(sK0,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40744,c_1390]) ).

tcf(c_133284,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( max(max(sK0,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40744,c_1376]) ).

tcf(c_133288,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40744,c_35185]) ).

tcf(c_133300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | model_max(X2,X2,X1)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_40744,c_1405]) ).

tcf(c_133301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK0,sK1,X2)
      | model_max(X2,X2,X0)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_40744,c_1496]) ).

tcf(c_133302,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_40744,c_3116]) ).

tcf(c_133303,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40744,c_1390]) ).

tcf(c_133304,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40744,c_1376]) ).

tcf(c_133307,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_40744,c_29276]) ).

tcf(c_133308,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_40744,c_28039]) ).

tcf(c_133314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK0,sK1,X2)
      | model_max(X0,X0,sK2)
      | lesseq(max(X2,X2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_40744,c_1405]) ).

tcf(c_133315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(sK0,sK1,X0)
      | model_max(X2,X2,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_40744,c_1496]) ).

tcf(c_133317,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X0,X0,sK2)
      | ( max(X0,max(X1,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_40744,c_1390]) ).

tcf(c_133318,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X0)
      | model_max(X1,X1,sK2)
      | ( max(max(X0,X0),X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_40744,c_1376]) ).

tcf(c_133342,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_133304,c_1375]) ).

tcf(c_133346,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK1,X1)
      | model_max(X1,X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_133303,c_1375]) ).

tcf(c_134021,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_29276]) ).

tcf(c_134022,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_28039]) ).

tcf(c_134028,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK2),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42322,c_1405]) ).

tcf(c_134029,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK0,sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_1496]) ).

tcf(c_134031,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK0,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_42322,c_1390]) ).

tcf(c_134032,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK0,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_42322,c_1376]) ).

tcf(c_134033,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_35185]) ).

tcf(c_134034,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK0,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_35184]) ).

tcf(c_134035,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK0,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_35183]) ).

tcf(c_134040,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_29276]) ).

tcf(c_134041,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_28039]) ).

tcf(c_134047,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42322,c_1405]) ).

tcf(c_134048,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK2,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_1496]) ).

tcf(c_134049,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK2,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_3116]) ).

tcf(c_134050,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42322,c_1390]) ).

tcf(c_134051,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42322,c_1376]) ).

tcf(c_134054,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_35184]) ).

tcf(c_134055,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_35183]) ).

tcf(c_134062,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134055,c_1375]) ).

tcf(c_134066,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134054,c_1375]) ).

tcf(c_134070,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_134051,c_1375]) ).

tcf(c_134074,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_134050,c_1375]) ).

tcf(c_134079,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134041,c_1375]) ).

tcf(c_134103,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_29276]) ).

tcf(c_134104,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK2,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_28039]) ).

tcf(c_134110,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK2,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42325,c_1405]) ).

tcf(c_134111,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK2,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_1496]) ).

tcf(c_134113,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_42325,c_1390]) ).

tcf(c_134114,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_42325,c_1376]) ).

tcf(c_134115,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_35185]) ).

tcf(c_134116,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK2,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_35184]) ).

tcf(c_134117,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK2,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_35183]) ).

tcf(c_134122,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_29276]) ).

tcf(c_134123,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_28039]) ).

tcf(c_134129,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42325,c_1405]) ).

tcf(c_134130,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK2,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_1496]) ).

tcf(c_134131,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK2,sK0,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_3116]) ).

tcf(c_134132,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42325,c_1390]) ).

tcf(c_134133,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42325,c_1376]) ).

tcf(c_134136,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_35184]) ).

tcf(c_134137,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_35183]) ).

tcf(c_134144,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134137,c_1375]) ).

tcf(c_134148,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134136,c_1375]) ).

tcf(c_134152,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_134133,c_1375]) ).

tcf(c_134156,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_134132,c_1375]) ).

tcf(c_134161,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134123,c_1375]) ).

tcf(c_134190,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42326,c_65499]) ).

tcf(c_134193,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42326,c_54750]) ).

tcf(c_134198,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42326,c_1405]) ).

tcf(c_134199,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42326,c_1496]) ).

tcf(c_134201,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_42326,c_1390]) ).

tcf(c_134202,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_42326,c_1376]) ).

tcf(c_134220,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42326,c_1405]) ).

tcf(c_134221,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42326,c_1496]) ).

tcf(c_134395,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK1,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_29276]) ).

tcf(c_134396,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK1,sK2),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_28039]) ).

tcf(c_134402,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK1,sK2),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42327,c_1405]) ).

tcf(c_134403,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK1,sK2),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_1496]) ).

tcf(c_134405,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_42327,c_1390]) ).

tcf(c_134406,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_42327,c_1376]) ).

tcf(c_134407,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_35185]) ).

tcf(c_134408,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK1,sK2),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_35184]) ).

tcf(c_134409,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK1,sK2)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_35183]) ).

tcf(c_134413,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK1,sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_29276]) ).

tcf(c_134414,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | model_max(sK1,sK2,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_28039]) ).

tcf(c_134420,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK2,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42327,c_1405]) ).

tcf(c_134421,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK1,sK2,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_1496]) ).

tcf(c_134422,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK1,sK2,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_3116]) ).

tcf(c_134423,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42327,c_1390]) ).

tcf(c_134424,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42327,c_1376]) ).

tcf(c_134427,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_35184]) ).

tcf(c_134428,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42327,c_35183]) ).

tcf(c_134435,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134428,c_1375]) ).

tcf(c_134439,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134427,c_1375]) ).

tcf(c_134443,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_134424,c_1375]) ).

tcf(c_134447,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_134423,c_1375]) ).

tcf(c_134452,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,X0)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_134414,c_1375]) ).

tcf(c_134631,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_29276]) ).

tcf(c_134632,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_28039]) ).

tcf(c_134634,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_2108]) ).

tcf(c_134635,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_1956]) ).

tcf(c_134636,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_1585]) ).

tcf(c_134638,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42330,c_1405]) ).

tcf(c_134639,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_1496]) ).

tcf(c_134640,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_3116]) ).

tcf(c_134641,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_1390]) ).

tcf(c_134642,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42330,c_1376]) ).

tcf(c_134909,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK5(X0,X1,X2),sK1)
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40604,c_28040]) ).

tcf(c_134914,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X3)
      | lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_28649]) ).

tcf(c_134918,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_27007]) ).

tcf(c_134922,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X4,sK2)
      | model_max(X3,X3,X4)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_2536]) ).

tcf(c_134923,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_2529]) ).

tcf(c_134924,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_1530]) ).

tcf(c_134925,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_1476]) ).

tcf(c_134926,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_3134]) ).

tcf(c_134927,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X3,sK2)
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_1461]) ).

tcf(c_134928,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK2,sK5(X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_28040,c_72]) ).

tcf(c_134930,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ lesseq(sK2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_60]) ).

tcf(c_134933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X0,sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_1762]) ).

tcf(c_134934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_28040,c_1733]) ).

tcf(c_134992,plain,
    max(max(sK0,sK1),sK1) = max(sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_28550,c_73,c_80,c_81,c_83,c_85,c_508,c_519,c_599,c_1639,c_1875,c_2072,c_2247,c_2360,c_2485,c_2891,c_2974,c_3364,c_3625,c_3626,c_4760,c_4761,c_4772,c_4965,c_5341,c_5344,c_6122,c_6233,c_6543,c_6572,c_6811,c_7938,c_8124,c_8465,c_8488,c_8937,c_9378,c_9399,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27176,c_27178,c_27412,c_28550,c_30781,c_31001,c_34041,c_37290]) ).

tcf(c_134995,plain,
    max(sK1,max(sK0,sK1)) = max(sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_28551,c_73,c_80,c_81,c_83,c_85,c_508,c_519,c_599,c_1639,c_1875,c_2072,c_2247,c_2360,c_2485,c_2891,c_2974,c_3364,c_3625,c_3626,c_4760,c_4761,c_4772,c_4965,c_5341,c_5344,c_6122,c_6233,c_6543,c_6572,c_6811,c_7938,c_8124,c_8465,c_8488,c_8937,c_9378,c_9399,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27176,c_27178,c_27412,c_28551,c_30781,c_31001,c_34041,c_37290]) ).

tcf(c_135006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_28611]) ).

tcf(c_135007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X3)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28611]) ).

tcf(c_135030,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_28611]) ).

tcf(c_135055,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1373,c_28611]) ).

tcf(c_135057,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_28611]) ).

tcf(c_135058,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | ( X0 = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28611]) ).

tcf(c_135061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28611]) ).

tcf(c_135062,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X0)
      | ( X1 = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_28611]) ).

tcf(c_135063,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X2,sK2)
      | lesseq(X3,X1)
      | lesseq(X1,X0)
      | lesseq(X0,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_28611]) ).

tcf(c_135064,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_28611]) ).

tcf(c_135065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | ( X1 = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28611]) ).

tcf(c_135068,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4121,c_28611]) ).

tcf(c_135069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4120,c_28611]) ).

tcf(c_135070,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(X0,X1) = sK0 )
      | ~ model_max(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_63,c_28611]) ).

tcf(c_135071,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(sK5(X0,X1,sK0),X2)
      | ( sK5(X0,X1,sK0) = sK0 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_66,c_28611]) ).

tcf(c_135072,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( X1 = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_28611]) ).

tcf(c_135073,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( X1 = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28611]) ).

tcf(c_135074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ( sK5(X0,X1,X2) = sK0 )
      | ~ lesseq(X2,sK0)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_28611]) ).

tcf(c_135075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ( sK5(X0,X1,X2) = sK0 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_28611]) ).

tcf(c_135087,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( X1 = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_28611]) ).

tcf(c_135088,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_28611]) ).

tcf(c_135089,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X0)
      | lesseq(X0,X2)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_28611]) ).

tcf(c_135090,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( X1 = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28611]) ).

tcf(c_135091,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(X1,X0)
      | lesseq(X0,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1494,c_28611]) ).

tcf(c_135092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X1)
      | lesseq(X0,X3)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_28611]) ).

tcf(c_135093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X3)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_28611]) ).

tcf(c_135094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28611]) ).

tcf(c_135095,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(X1,X2,X0)
      | model_max(sK0,sK0,max(X1,X2))
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_28611]) ).

tcf(c_135096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X3,sK2)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(X0,X3)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_28611]) ).

tcf(c_135097,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,sK2)
      | lesseq(X0,X3)
      | model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_28611]) ).

tcf(c_135098,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( sK0 = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24526,c_28611]) ).

tcf(c_135110,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK0 )
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_28611]) ).

tcf(c_135111,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_28611]) ).

tcf(c_135112,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( sK0 = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_28611]) ).

tcf(c_135113,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | ( sK0 = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_28611]) ).

tcf(c_135115,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK2)
      | lesseq(max(X1,X0),X2)
      | ( max(X1,X0) = sK0 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_4126,c_28611]) ).

tcf(c_135116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK2)
      | lesseq(max(X1,X0),X2)
      | ( max(X1,X0) = sK0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_4125,c_28611]) ).

tcf(c_135363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK1,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_134933]) ).

tcf(c_135376,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK1,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_134934]) ).

tcf(c_135435,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_77468,c_42331]) ).

tcf(c_135437,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_35473,c_42331]) ).

tcf(c_135438,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_35454,c_42331]) ).

tcf(c_135450,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK2,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_29276]) ).

tcf(c_135451,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK2,sK1),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_28039]) ).

tcf(c_135457,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK2,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42335,c_1405]) ).

tcf(c_135458,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK2,sK1),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_1496]) ).

tcf(c_135460,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_42335,c_1390]) ).

tcf(c_135461,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_42335,c_1376]) ).

tcf(c_135462,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_35185]) ).

tcf(c_135463,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(max(sK2,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_35184]) ).

tcf(c_135464,plain,
    ( model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,max(sK2,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_35183]) ).

tcf(c_135468,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK2,sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_29276]) ).

tcf(c_135469,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | model_max(sK2,sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_28039]) ).

tcf(c_135475,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK2,sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_42335,c_1405]) ).

tcf(c_135476,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK2,sK1,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_1496]) ).

tcf(c_135477,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK2,sK1,X0)
      | model_max(X0,X0,X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_3116]) ).

tcf(c_135478,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42335,c_1390]) ).

tcf(c_135479,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_42335,c_1376]) ).

tcf(c_135482,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_35184]) ).

tcf(c_135483,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_42335,c_35183]) ).

tcf(c_135490,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_135483,c_1375]) ).

tcf(c_135494,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_135482,c_1375]) ).

tcf(c_135498,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_135479,c_1375]) ).

tcf(c_135502,plain,
    ! [X0: $i] :
      ( model_max(sK2,sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_135478,c_1375]) ).

tcf(c_135507,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_135469,c_1375]) ).

tcf(c_135528,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(max(sK1,sK1),sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42337,c_29276]) ).

tcf(c_135529,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK1),sK2)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42337,c_28039]) ).

tcf(c_135531,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK1) = sK1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42337,c_2108]) ).

tcf(c_135535,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(sK1,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_42337,c_1405]) ).

tcf(c_135536,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | lesseq(max(sK1,sK1),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42337,c_1496]) ).

tcf(c_135537,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK1,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42337,c_3116]) ).

tcf(c_135538,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK1)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42337,c_1390]) ).

tcf(c_135539,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( max(max(sK1,sK1),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_42337,c_1376]) ).

tcf(c_135542,plain,
    ( ( sK0 = sK2 )
    | ( max(max(sK1,sK1),sK2) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_42337,c_35184]) ).

tcf(c_135543,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,max(sK1,sK1)) = sK2 )
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_42337,c_35183]) ).

tcf(c_135621,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_46232,c_42338]) ).

tcf(c_135622,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_38720,c_42338]) ).

tcf(c_135623,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK0,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25707,c_42338]) ).

tcf(c_135624,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37893,c_42338]) ).

tcf(c_135625,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | lesseq(sK1,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_24532,c_42338]) ).

tcf(c_135626,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_37379,c_42338]) ).

tcf(c_135627,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_33799,c_42338]) ).

tcf(c_135628,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_33192,c_42338]) ).

tcf(c_135631,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(max(sK1,sK1),X0) = max(sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_1438,c_42338]) ).

tcf(c_135634,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK1,sK1)) = max(sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_1439,c_42338]) ).

tcf(c_135635,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | model_max(X0,X0,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_3713,c_42338]) ).

tcf(c_135636,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_42338]) ).

tcf(c_135637,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | lesseq(X0,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_2532,c_42338]) ).

tcf(c_135638,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | lesseq(X0,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_42338]) ).

tcf(c_135639,plain,
    ( lesseq(sK2,max(sK1,sK1))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1353,c_42338]) ).

tcf(c_135669,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,max(X0,X1))
      | model_max(X0,X1,max(sK1,sK1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_1440,c_42338]) ).

tcf(c_135675,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK1) = sK1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_2109,c_42338]) ).

tcf(c_135677,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(sK1,max(sK1,sK1)) = max(sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_27327,c_42338]) ).

tcf(c_135678,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(max(sK1,sK1),sK1) = max(sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_27208,c_42338]) ).

tcf(c_135716,plain,
    ( lesseq(sK2,sK1)
    | model_max(sK2,sK0,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42325,c_42338]) ).

tcf(c_135717,plain,
    ( lesseq(sK2,sK1)
    | model_max(sK0,sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_42322,c_42338]) ).

tcf(c_135739,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35467,c_42338]) ).

tcf(c_135740,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ~ lesseq(sK1,sK1) ),
    inference(superposition,[status(thm)],[c_35450,c_42338]) ).

tcf(c_135759,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X0,X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_35477,c_42338]) ).

tcf(c_135862,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_28844]) ).

tcf(c_135863,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28844]) ).

tcf(c_135912,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_59,c_28844]) ).

tcf(c_135913,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_28844]) ).

tcf(c_135914,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28844]) ).

tcf(c_135917,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28844]) ).

tcf(c_135918,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( X1 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_28844]) ).

tcf(c_135920,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_28844]) ).

tcf(c_135921,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X1 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28844]) ).

tcf(c_135924,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( X1 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_28844]) ).

tcf(c_135925,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( X1 = sK2 )
      | ( max(X1,sK0) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_28844]) ).

tcf(c_135928,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_28844]) ).

tcf(c_135929,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(X0,sK1) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47809,c_28844]) ).

tcf(c_135930,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_28844]) ).

tcf(c_135931,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(X0,sK0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_28844]) ).

tcf(c_135932,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_28844]) ).

tcf(c_135933,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_28844]) ).

tcf(c_135934,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_28844]) ).

tcf(c_135935,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_28844]) ).

tcf(c_135945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2532,c_28844]) ).

tcf(c_135946,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1497,c_28844]) ).

tcf(c_135947,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(X0,X1) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1351,c_28844]) ).

tcf(c_135949,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_28844]) ).

tcf(c_135950,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_28844]) ).

tcf(c_135951,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_28844]) ).

tcf(c_135952,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_28844]) ).

tcf(c_135953,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1494,c_28844]) ).

tcf(c_135954,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_28844]) ).

tcf(c_135955,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_28844]) ).

tcf(c_135956,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_28844]) ).

tcf(c_135957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2))
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_28844]) ).

tcf(c_135958,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_28844]) ).

tcf(c_135959,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_28844]) ).

tcf(c_135974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_28844]) ).

tcf(c_135975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ( max(sK5(X0,X1,X2),sK0) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_28844]) ).

tcf(c_135976,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK1 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_40823,c_28844]) ).

tcf(c_135978,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_47811,c_28844]) ).

tcf(c_135979,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46968,c_28844]) ).

tcf(c_136011,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK2 )
      | ( max(max(X0,sK2),sK0) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_12029,c_28844]) ).

tcf(c_136014,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(max(sK1,sK0),sK0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_74460,c_28844]) ).

tcf(c_136015,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(max(sK1,sK0),sK0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_73342,c_28844]) ).

tcf(c_136016,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_28844]) ).

tcf(c_136364,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_29276]) ).

tcf(c_136365,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_28039]) ).

tcf(c_136371,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK1)
      | lesseq(max(sK0,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_44269,c_1405]) ).

tcf(c_136372,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK1)
      | lesseq(max(sK0,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_1496]) ).

tcf(c_136374,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,max(sK0,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_44269,c_1390]) ).

tcf(c_136375,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK1)
      | ( sK0 = sK2 )
      | ( max(max(sK0,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_44269,c_1376]) ).

tcf(c_136377,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK1)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_35185]) ).

tcf(c_136383,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK0,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_29276]) ).

tcf(c_136384,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | model_max(sK0,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_28039]) ).

tcf(c_136390,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_44269,c_1405]) ).

tcf(c_136391,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | model_max(sK0,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_1496]) ).

tcf(c_136393,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,max(X0,X0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_44269,c_1390]) ).

tcf(c_136394,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_44269,c_1376]) ).

tcf(c_136397,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_35184]) ).

tcf(c_136398,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_44269,c_35183]) ).

tcf(c_136407,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK2)
      | model_max(sK0,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_136384,c_1375]) ).

tcf(c_136499,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(demodulation,[status(thm)],[c_44770,c_1375]) ).

tcf(c_136515,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,X1),X0)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136499,c_1405]) ).

tcf(c_136516,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136499,c_1496]) ).

tcf(c_136518,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136499,c_1390]) ).

tcf(c_136519,plain,
    ! [X0: $i] :
      ( ( max(X0,sK0) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136499,c_1376]) ).

tcf(c_136528,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(demodulation,[status(thm)],[c_44771,c_1375]) ).

tcf(c_136544,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(max(X1,X1),X0)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136528,c_1405]) ).

tcf(c_136545,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(max(X0,X0),X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136528,c_1496]) ).

tcf(c_136547,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(sK2,max(X0,X0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136528,c_1390]) ).

tcf(c_136548,plain,
    ! [X0: $i] :
      ( ( max(sK0,X0) = X0 )
      | ( max(max(X0,X0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136528,c_1376]) ).

tcf(c_136559,plain,
    ( model_max(sK2,sK0,sK0)
    | model_max(sK1,sK0,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_47276,c_2485,c_6811,c_25600,c_32724,c_35503]) ).

tcf(c_136565,plain,
    ( model_max(sK1,sK0,sK2)
    | model_max(sK1,sK0,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_136559]) ).

tcf(c_136567,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2)
    | lesseq(max(sK2,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_136559,c_29276]) ).

tcf(c_136574,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK0),X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136559,c_1405]) ).

tcf(c_136575,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136559,c_1496]) ).

tcf(c_136576,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136559,c_3116]) ).

tcf(c_136577,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(sK0,max(sK2,sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136559,c_1390]) ).

tcf(c_136578,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(max(sK2,sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136559,c_1376]) ).

tcf(c_136579,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136559,c_132623]) ).

tcf(c_136580,plain,
    ( lesseq(sK2,sK0)
    | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136559,c_25543]) ).

tcf(c_136588,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_136575,c_25410]) ).

tcf(c_136592,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_136567,c_25410]) ).

tcf(c_136596,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(light_normalisation,[status(thm)],[c_136574,c_25410]) ).

tcf(c_136613,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136580,c_1405]) ).

tcf(c_136614,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136580,c_1496]) ).

tcf(c_136615,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136580,c_3116]) ).

tcf(c_136616,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136580,c_1390]) ).

tcf(c_136617,plain,
    ( lesseq(sK2,sK0)
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136580,c_1376]) ).

tcf(c_136618,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_136580,c_42331]) ).

tcf(c_136645,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK0)
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_55]) ).

tcf(c_136646,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_65553]) ).

tcf(c_136647,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_54804]) ).

tcf(c_136651,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_28613]) ).

tcf(c_136655,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_26975]) ).

tcf(c_136659,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_2529]) ).

tcf(c_136661,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_1476]) ).

tcf(c_136662,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_3134]) ).

tcf(c_136663,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_1461]) ).

tcf(c_136664,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_72]) ).

tcf(c_136666,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136588,c_60]) ).

tcf(c_136667,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_68]) ).

tcf(c_136668,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_67]) ).

tcf(c_136669,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_28844]) ).

tcf(c_136670,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_27321]) ).

tcf(c_136671,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_131533]) ).

tcf(c_136672,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_37115]) ).

tcf(c_136673,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_66446]) ).

tcf(c_136674,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_30011]) ).

tcf(c_136675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_28846]) ).

tcf(c_136676,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_25619]) ).

tcf(c_136677,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_25537]) ).

tcf(c_136678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_28627]) ).

tcf(c_136679,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_24817]) ).

tcf(c_136680,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_24675]) ).

tcf(c_136681,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_27323]) ).

tcf(c_136682,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_27204]) ).

tcf(c_136683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_26986]) ).

tcf(c_136684,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_26081]) ).

tcf(c_136685,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_24529]) ).

tcf(c_136686,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_25409]) ).

tcf(c_136687,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_24427]) ).

tcf(c_136689,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136588,c_36424]) ).

tcf(c_136698,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_65553]) ).

tcf(c_136699,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_54804]) ).

tcf(c_136700,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_30311]) ).

tcf(c_136701,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_30230]) ).

tcf(c_136702,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_28649]) ).

tcf(c_136703,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_28613]) ).

tcf(c_136704,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_27640]) ).

tcf(c_136705,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_27550]) ).

tcf(c_136706,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_27007]) ).

tcf(c_136707,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_26975]) ).

tcf(c_136708,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_26068]) ).

tcf(c_136709,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_24518]) ).

tcf(c_136710,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_136588,c_2536]) ).

tcf(c_136711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_136588,c_2529]) ).

tcf(c_136712,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_1530]) ).

tcf(c_136713,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_1476]) ).

tcf(c_136714,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_136588,c_3134]) ).

tcf(c_136715,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_136588,c_1461]) ).

tcf(c_136716,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_72]) ).

tcf(c_136717,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136588,c_1402]) ).

tcf(c_136718,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_60]) ).

tcf(c_136719,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_68]) ).

tcf(c_136720,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_67]) ).

tcf(c_136721,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_136588,c_30546]) ).

tcf(c_136723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_136588,c_1437]) ).

tcf(c_136724,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_136588,c_62]) ).

tcf(c_136725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136588,c_1762]) ).

tcf(c_136726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136588,c_1733]) ).

tcf(c_136729,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_131533]) ).

tcf(c_136730,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_37115]) ).

tcf(c_136731,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_66446]) ).

tcf(c_136732,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_30011]) ).

tcf(c_136733,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_28846]) ).

tcf(c_136734,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_25619]) ).

tcf(c_136737,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_24817]) ).

tcf(c_136738,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_24675]) ).

tcf(c_136739,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_27323]) ).

tcf(c_136747,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136588,c_36424]) ).

tcf(c_136751,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_28611]) ).

tcf(c_136752,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_26066]) ).

tcf(c_136770,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_1405]) ).

tcf(c_136771,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136588,c_1496]) ).

tcf(c_136772,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136588,c_3116]) ).

tcf(c_136773,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_1390]) ).

tcf(c_136774,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_1376]) ).

tcf(c_136775,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_42331]) ).

tcf(c_136791,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_136729,c_40598]) ).

tcf(c_137260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136615,c_1405]) ).

tcf(c_137261,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136615,c_1496]) ).

tcf(c_137262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136615,c_3116]) ).

tcf(c_137263,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK2)
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_136615,c_1390]) ).

tcf(c_137264,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK2)
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136615,c_1376]) ).

tcf(c_137300,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),sK0)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_136687,c_55]) ).

tcf(c_137306,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_28613]) ).

tcf(c_137310,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_26975]) ).

tcf(c_137314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_136687,c_2529]) ).

tcf(c_137317,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_136687,c_3134]) ).

tcf(c_137319,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136687,c_72]) ).

tcf(c_137321,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136687,c_60]) ).

tcf(c_137323,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136687,c_67]) ).

tcf(c_137334,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_65553]) ).

tcf(c_137335,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_54804]) ).

tcf(c_137336,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136687,c_30311]) ).

tcf(c_137337,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136687,c_30230]) ).

tcf(c_137338,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_28649]) ).

tcf(c_137340,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136687,c_27640]) ).

tcf(c_137341,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136687,c_27550]) ).

tcf(c_137342,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_27007]) ).

tcf(c_137346,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_136687,c_2536]) ).

tcf(c_137347,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_136687,c_2529]) ).

tcf(c_137349,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136687,c_1476]) ).

tcf(c_137350,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_136687,c_3134]) ).

tcf(c_137351,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_136687,c_1461]) ).

tcf(c_137352,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136687,c_72]) ).

tcf(c_137354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136687,c_60]) ).

tcf(c_137355,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136687,c_68]) ).

tcf(c_137356,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136687,c_67]) ).

tcf(c_137359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_136687,c_1437]) ).

tcf(c_137360,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_136687,c_62]) ).

tcf(c_137361,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136687,c_1762]) ).

tcf(c_137362,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136687,c_1733]) ).

tcf(c_137406,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136687,c_1405]) ).

tcf(c_137407,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136687,c_1496]) ).

tcf(c_137408,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136687,c_3116]) ).

tcf(c_137411,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_136687,c_42331]) ).

tcf(c_137581,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_65553]) ).

tcf(c_137583,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_30311]) ).

tcf(c_137584,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_30230]) ).

tcf(c_137585,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_28649]) ).

tcf(c_137586,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_28613]) ).

tcf(c_137589,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_27007]) ).

tcf(c_137590,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_26975]) ).

tcf(c_137591,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_26068]) ).

tcf(c_137592,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_24518]) ).

tcf(c_137593,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_2536]) ).

tcf(c_137594,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_2529]) ).

tcf(c_137595,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_1530]) ).

tcf(c_137596,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK2) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_1476]) ).

tcf(c_137597,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_3134]) ).

tcf(c_137598,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_136667,c_1461]) ).

tcf(c_137599,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136667,c_72]) ).

tcf(c_137601,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK2) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136667,c_60]) ).

tcf(c_137602,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_68]) ).

tcf(c_137603,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_67]) ).

tcf(c_137606,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136667,c_1437]) ).

tcf(c_137607,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136667,c_62]) ).

tcf(c_137608,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK5(X0,X1,X2),sK2) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136667,c_1762]) ).

tcf(c_137609,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK5(X0,X1,X2),sK2) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136667,c_1733]) ).

tcf(c_137612,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_131533]) ).

tcf(c_137613,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_37115]) ).

tcf(c_137614,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK0,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_66446]) ).

tcf(c_137615,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_30011]) ).

tcf(c_137616,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_28846]) ).

tcf(c_137617,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_25619]) ).

tcf(c_137620,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_24817]) ).

tcf(c_137621,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_24675]) ).

tcf(c_137622,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_27323]) ).

tcf(c_137623,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_27204]) ).

tcf(c_137625,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_26081]) ).

tcf(c_137627,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_25409]) ).

tcf(c_137630,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136667,c_36424]) ).

tcf(c_137634,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_28611]) ).

tcf(c_137635,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_26066]) ).

tcf(c_137653,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ( max(X1,sK2) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136667,c_1405]) ).

tcf(c_137654,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_1496]) ).

tcf(c_137655,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_3116]) ).

tcf(c_137656,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_1390]) ).

tcf(c_137657,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136667,c_1376]) ).

tcf(c_137658,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_42331]) ).

tcf(c_137668,plain,
    ( model_max(sK1,sK0,sK2)
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_137612,c_40598]) ).

tcf(c_137920,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_65553]) ).

tcf(c_137922,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136668,c_30311]) ).

tcf(c_137923,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_30230]) ).

tcf(c_137924,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_28649]) ).

tcf(c_137925,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_28613]) ).

tcf(c_137928,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_27007]) ).

tcf(c_137929,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_26975]) ).

tcf(c_137930,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_26068]) ).

tcf(c_137931,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_24518]) ).

tcf(c_137932,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_2536]) ).

tcf(c_137933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_2529]) ).

tcf(c_137934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_1530]) ).

tcf(c_137935,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_1476]) ).

tcf(c_137936,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_3134]) ).

tcf(c_137937,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_136668,c_1461]) ).

tcf(c_137938,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136668,c_72]) ).

tcf(c_137940,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X1) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136668,c_60]) ).

tcf(c_137941,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_68]) ).

tcf(c_137942,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_67]) ).

tcf(c_137945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136668,c_1437]) ).

tcf(c_137946,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136668,c_62]) ).

tcf(c_137947,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136668,c_1762]) ).

tcf(c_137948,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_136668,c_1733]) ).

tcf(c_137973,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_28611]) ).

tcf(c_137974,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_26066]) ).

tcf(c_137992,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK2,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136668,c_1405]) ).

tcf(c_137993,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_1496]) ).

tcf(c_137994,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_3116]) ).

tcf(c_137995,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136668,c_1390]) ).

tcf(c_137996,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136668,c_1376]) ).

tcf(c_137997,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_42331]) ).

tcf(c_138310,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK2)
      | ( max(sK0,sK4(X0,X1,sK2)) = sK0 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_136719,c_55]) ).

tcf(c_138311,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_65553]) ).

tcf(c_138312,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_54804]) ).

tcf(c_138313,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_30311]) ).

tcf(c_138316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_28613]) ).

tcf(c_138317,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_27640]) ).

tcf(c_138320,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_26975]) ).

tcf(c_138323,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_2536]) ).

tcf(c_138324,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_2529]) ).

tcf(c_138325,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_1530]) ).

tcf(c_138326,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X1) = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_1476]) ).

tcf(c_138327,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_3134]) ).

tcf(c_138328,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X1) = X1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_1461]) ).

tcf(c_138329,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_136719,c_72]) ).

tcf(c_138330,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_1402]) ).

tcf(c_138331,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136719,c_60]) ).

tcf(c_138334,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_28844]) ).

tcf(c_138335,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_27321]) ).

tcf(c_138336,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_131533]) ).

tcf(c_138337,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_37115]) ).

tcf(c_138338,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_66446]) ).

tcf(c_138339,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_30011]) ).

tcf(c_138340,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X1) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_28846]) ).

tcf(c_138341,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_25619]) ).

tcf(c_138342,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_25537]) ).

tcf(c_138343,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_28627]) ).

tcf(c_138344,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_24817]) ).

tcf(c_138345,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_24675]) ).

tcf(c_138346,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_27323]) ).

tcf(c_138347,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X1) = sK0 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_27204]) ).

tcf(c_138348,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_26986]) ).

tcf(c_138349,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_26081]) ).

tcf(c_138350,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_24529]) ).

tcf(c_138351,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_25409]) ).

tcf(c_138354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X1) = sK0 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136719,c_36424]) ).

tcf(c_138357,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_36420]) ).

tcf(c_138371,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK0,X1) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136719,c_1405]) ).

tcf(c_138372,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_1496]) ).

tcf(c_138373,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_3116]) ).

tcf(c_138374,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,X0) = sK0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136719,c_1390]) ).

tcf(c_138375,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK0,X0) = sK0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136719,c_1376]) ).

tcf(c_138376,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_42331]) ).

tcf(c_138798,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK2)
      | ( max(sK4(X0,X1,sK2),sK0) = sK0 )
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_136720,c_55]) ).

tcf(c_138799,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK2,sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_65553]) ).

tcf(c_138800,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_54804]) ).

tcf(c_138801,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_30311]) ).

tcf(c_138804,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_28613]) ).

tcf(c_138805,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_27640]) ).

tcf(c_138808,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_26975]) ).

tcf(c_138811,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_2536]) ).

tcf(c_138812,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_2529]) ).

tcf(c_138813,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_1530]) ).

tcf(c_138814,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK2) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_1476]) ).

tcf(c_138815,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_3134]) ).

tcf(c_138816,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_1461]) ).

tcf(c_138817,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = sK0 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_136720,c_72]) ).

tcf(c_138818,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_1402]) ).

tcf(c_138819,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136720,c_60]) ).

tcf(c_138822,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = sK0 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_28844]) ).

tcf(c_138823,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_27321]) ).

tcf(c_138824,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(X0,sK1) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_131533]) ).

tcf(c_138825,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_37115]) ).

tcf(c_138826,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_66446]) ).

tcf(c_138827,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_30011]) ).

tcf(c_138828,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_28846]) ).

tcf(c_138829,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_25619]) ).

tcf(c_138830,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_25537]) ).

tcf(c_138831,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_28627]) ).

tcf(c_138832,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_24817]) ).

tcf(c_138833,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_24675]) ).

tcf(c_138834,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_27323]) ).

tcf(c_138835,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_27204]) ).

tcf(c_138836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_26986]) ).

tcf(c_138837,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_26081]) ).

tcf(c_138838,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_24529]) ).

tcf(c_138839,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_25409]) ).

tcf(c_138842,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK0) = sK0 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136720,c_36424]) ).

tcf(c_138845,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_36420]) ).

tcf(c_138846,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_36417]) ).

tcf(c_138848,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_32597]) ).

tcf(c_138859,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(X1,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136720,c_1405]) ).

tcf(c_138860,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_1496]) ).

tcf(c_138861,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_3116]) ).

tcf(c_138862,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,sK0) = sK0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136720,c_1390]) ).

tcf(c_138863,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(X0,sK0) = sK0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136720,c_1376]) ).

tcf(c_138864,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_42331]) ).

tcf(c_139179,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK0,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_136576]) ).

tcf(c_139181,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_136576,c_29276]) ).

tcf(c_139188,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136576,c_1405]) ).

tcf(c_139189,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136576,c_1496]) ).

tcf(c_139191,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,max(sK2,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_136576,c_1390]) ).

tcf(c_139192,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(max(sK2,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136576,c_1376]) ).

tcf(c_139193,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_136576,c_35185]) ).

tcf(c_139206,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_139181,c_25410]) ).

tcf(c_139229,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK2)
      | ~ model_ub(X0,X1,sK2)
      | ~ lesseq(sK0,sK4(X0,X1,sK2)) ),
    inference(superposition,[status(thm)],[c_136596,c_55]) ).

tcf(c_139231,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK2,sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_54804]) ).

tcf(c_139236,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK2,sK2) = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_27640]) ).

tcf(c_139239,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_26975]) ).

tcf(c_139242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_2536]) ).

tcf(c_139243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_2529]) ).

tcf(c_139244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_1530]) ).

tcf(c_139246,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_3134]) ).

tcf(c_139248,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_136596,c_72]) ).

tcf(c_139250,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136596,c_60]) ).

tcf(c_139251,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_68]) ).

tcf(c_139252,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_67]) ).

tcf(c_139253,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_28844]) ).

tcf(c_139254,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_27321]) ).

tcf(c_139255,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(X0,sK1) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_131533]) ).

tcf(c_139256,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_37115]) ).

tcf(c_139257,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK0,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_66446]) ).

tcf(c_139258,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X1) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_30011]) ).

tcf(c_139259,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK0) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_28846]) ).

tcf(c_139260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_25619]) ).

tcf(c_139261,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_25537]) ).

tcf(c_139262,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_28627]) ).

tcf(c_139263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_24817]) ).

tcf(c_139264,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_24675]) ).

tcf(c_139265,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_27323]) ).

tcf(c_139266,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(X1,sK1) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_27204]) ).

tcf(c_139267,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_26986]) ).

tcf(c_139268,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_26081]) ).

tcf(c_139271,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_24427]) ).

tcf(c_139273,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136596,c_36424]) ).

tcf(c_139276,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_136596,c_36420]) ).

tcf(c_139277,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(sK2,sK2) = sK2 )
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_136596,c_36417]) ).

tcf(c_139279,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | ~ lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_136596,c_32597]) ).

tcf(c_139290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_1405]) ).

tcf(c_139291,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_1496]) ).

tcf(c_139292,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_3116]) ).

tcf(c_139293,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_1390]) ).

tcf(c_139294,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_1376]) ).

tcf(c_139295,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_42331]) ).

tcf(c_139589,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | minsol_model_ub(X0,X1,max(sK1,sK0))
      | lesseq(sK4(X0,X1,max(sK1,sK0)),sK2)
      | ~ model_ub(X0,X1,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_136614,c_55]) ).

tcf(c_139595,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136614,c_28613]) ).

tcf(c_139599,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136614,c_26975]) ).

tcf(c_139602,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136614,c_2536]) ).

tcf(c_139603,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136614,c_2529]) ).

tcf(c_139604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136614,c_1530]) ).

tcf(c_139605,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_136614,c_1476]) ).

tcf(c_139606,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_136614,c_3134]) ).

tcf(c_139607,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136614,c_1461]) ).

tcf(c_139608,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK2)
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_136614,c_72]) ).

tcf(c_139700,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK2,sK2,sK2)
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_65553]) ).

tcf(c_139701,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK2,sK2,sK2)
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_54804]) ).

tcf(c_139702,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_30311]) ).

tcf(c_139705,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_28613]) ).

tcf(c_139706,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_27640]) ).

tcf(c_139709,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_26975]) ).

tcf(c_139710,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK0)
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_26068]) ).

tcf(c_139712,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_2536]) ).

tcf(c_139713,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_2529]) ).

tcf(c_139714,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_1530]) ).

tcf(c_139716,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK2,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_3134]) ).

tcf(c_139721,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_68]) ).

tcf(c_139722,plain,
    ( ( max(sK2,sK0) = sK0 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_67]) ).

tcf(c_139723,plain,
    ( ( sK0 = sK2 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_28844]) ).

tcf(c_139726,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_37115]) ).

tcf(c_139727,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_66446]) ).

tcf(c_139728,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,X0) = X0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_30011]) ).

tcf(c_139729,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(X0,sK0) = X0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_28846]) ).

tcf(c_139730,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_25619]) ).

tcf(c_139731,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_25537]) ).

tcf(c_139732,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_28627]) ).

tcf(c_139733,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_24817]) ).

tcf(c_139734,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_24675]) ).

tcf(c_139738,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_26081]) ).

tcf(c_139740,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_25409]) ).

tcf(c_139743,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,max(sK1,sK0)) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136616,c_36424]) ).

tcf(c_139842,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK2,sK2,sK2)
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_65553]) ).

tcf(c_139843,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK2,sK2,sK2)
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_54804]) ).

tcf(c_139844,plain,
    ( lesseq(sK0,sK0)
    | ( max(sK2,sK2) = sK2 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_30311]) ).

tcf(c_139847,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_28613]) ).

tcf(c_139848,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK2,sK2) = sK2 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_27640]) ).

tcf(c_139851,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_26975]) ).

tcf(c_139852,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK0)
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_26068]) ).

tcf(c_139854,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_2536]) ).

tcf(c_139855,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_2529]) ).

tcf(c_139856,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_1530]) ).

tcf(c_139858,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK2,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_3134]) ).

tcf(c_139863,plain,
    ( ( max(sK0,sK2) = sK0 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_68]) ).

tcf(c_139864,plain,
    ( ( max(sK2,sK0) = sK0 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_67]) ).

tcf(c_139865,plain,
    ( ( sK0 = sK2 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_28844]) ).

tcf(c_139868,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_37115]) ).

tcf(c_139869,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_66446]) ).

tcf(c_139870,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK0,X0) = X0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_30011]) ).

tcf(c_139871,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(X0,sK0) = X0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_28846]) ).

tcf(c_139872,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_25619]) ).

tcf(c_139873,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_25537]) ).

tcf(c_139874,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_28627]) ).

tcf(c_139875,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_24817]) ).

tcf(c_139876,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_24675]) ).

tcf(c_139880,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_26081]) ).

tcf(c_139882,plain,
    ( lesseq(sK0,sK0)
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_25409]) ).

tcf(c_139885,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(max(sK1,sK0),sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136617,c_36424]) ).

tcf(c_140112,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | ~ model_ub(X0,X1,sK1)
      | ~ lesseq(sK0,sK4(X0,X1,sK1)) ),
    inference(superposition,[status(thm)],[c_139271,c_55]) ).

tcf(c_140122,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_26975]) ).

tcf(c_140125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_2536]) ).

tcf(c_140126,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_2529]) ).

tcf(c_140129,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_3134]) ).

tcf(c_140131,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK1 )
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_139271,c_72]) ).

tcf(c_140133,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK0,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_139271,c_60]) ).

tcf(c_140135,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_67]) ).

tcf(c_140154,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_1405]) ).

tcf(c_140155,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_1496]) ).

tcf(c_140156,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_3116]) ).

tcf(c_140159,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_139271,c_42331]) ).

tcf(c_140234,plain,
    ( model_max(sK1,sK2,sK0)
    | model_max(sK1,sK0,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_47278,c_24870,c_136580]) ).

tcf(c_140242,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2)
    | lesseq(max(sK1,sK2),sK2) ),
    inference(superposition,[status(thm)],[c_140234,c_29276]) ).

tcf(c_140249,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | lesseq(max(sK1,sK2),X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_140234,c_1405]) ).

tcf(c_140250,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_140234,c_1496]) ).

tcf(c_140251,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_140234,c_3116]) ).

tcf(c_140252,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(sK0,max(sK1,sK2)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_140234,c_1390]) ).

tcf(c_140253,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(max(sK1,sK2),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_140234,c_1376]) ).

tcf(c_140269,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_140251]) ).

tcf(c_140271,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK1,sK2),sK2) ),
    inference(superposition,[status(thm)],[c_140251,c_29276]) ).

tcf(c_140278,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK1,sK2),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_140251,c_1405]) ).

tcf(c_140279,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK1,sK2),X0) ),
    inference(superposition,[status(thm)],[c_140251,c_1496]) ).

tcf(c_140281,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,max(sK1,sK2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_140251,c_1390]) ).

tcf(c_140282,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(max(sK1,sK2),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_140251,c_1376]) ).

tcf(c_140283,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_140251,c_35185]) ).

tcf(c_140371,plain,
    ( model_max(sK2,sK1,sK0)
    | model_max(sK1,sK0,sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_47279,c_24739,c_136580]) ).

tcf(c_140379,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2)
    | lesseq(max(sK2,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_140371,c_29276]) ).

tcf(c_140386,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK1),X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_140371,c_1405]) ).

tcf(c_140387,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_140371,c_1496]) ).

tcf(c_140388,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_140371,c_3116]) ).

tcf(c_140389,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(sK0,max(sK2,sK1)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_140371,c_1390]) ).

tcf(c_140390,plain,
    ( model_max(sK1,sK0,sK2)
    | ( max(max(sK2,sK1),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_140371,c_1376]) ).

tcf(c_140408,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_140388,c_29276]) ).

tcf(c_140415,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK1),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_140388,c_1405]) ).

tcf(c_140416,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK2,sK1),X0) ),
    inference(superposition,[status(thm)],[c_140388,c_1496]) ).

tcf(c_140418,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,max(sK2,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_140388,c_1390]) ).

tcf(c_140419,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(max(sK2,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_140388,c_1376]) ).

tcf(c_140420,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_140388,c_35185]) ).

tcf(c_140440,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_65499]) ).

tcf(c_140441,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_29276]) ).

tcf(c_140442,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_28039]) ).

tcf(c_140443,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_54750]) ).

tcf(c_140448,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_47318,c_1405]) ).

tcf(c_140449,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_1496]) ).

tcf(c_140451,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_47318,c_1390]) ).

tcf(c_140452,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47318,c_1376]) ).

tcf(c_140453,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | model_max(sK1,sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_35185]) ).

tcf(c_140454,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_35184]) ).

tcf(c_140455,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_35183]) ).

tcf(c_140456,plain,
    ( model_max(sK1,sK1,sK0)
    | model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_35186]) ).

tcf(c_140463,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,X0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_65499]) ).

tcf(c_140464,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_29276]) ).

tcf(c_140465,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_28039]) ).

tcf(c_140466,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK1,sK0,X0)
      | model_max(X0,X0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_54750]) ).

tcf(c_140471,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47318,c_1405]) ).

tcf(c_140472,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47318,c_1496]) ).

tcf(c_140474,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_47318,c_1390]) ).

tcf(c_140475,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_47318,c_1376]) ).

tcf(c_140497,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_140475,c_1375]) ).

tcf(c_140501,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(light_normalisation,[status(thm)],[c_140474,c_1375]) ).

tcf(c_140713,plain,
    ! [X0: $i,X1: $i] :
      ( minsol_model_ub(X0,X1,max(sK1,sK0))
      | lesseq(sK4(X0,X1,max(sK1,sK0)),sK0)
      | ( sK1 = sK2 )
      | ~ model_ub(X0,X1,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_47645,c_55]) ).

tcf(c_140714,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_65553]) ).

tcf(c_140715,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_54804]) ).

tcf(c_140716,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_30311]) ).

tcf(c_140717,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_30230]) ).

tcf(c_140718,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_28649]) ).

tcf(c_140719,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | lesseq(max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_28613]) ).

tcf(c_140722,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_27007]) ).

tcf(c_140726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_2536]) ).

tcf(c_140727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_2529]) ).

tcf(c_140728,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_1530]) ).

tcf(c_140729,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_47645,c_1476]) ).

tcf(c_140730,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_3134]) ).

tcf(c_140731,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47645,c_1461]) ).

tcf(c_140732,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_47645,c_72]) ).

tcf(c_140741,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK1,sK0),sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47645,c_67882]) ).

tcf(c_141002,plain,
    ( ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(light_normalisation,[status(thm)],[c_22926,c_25410]) ).

tcf(c_141012,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_136724]) ).

tcf(c_141013,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_136724]) ).

tcf(c_141014,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X0,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_136724]) ).

tcf(c_141015,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X0,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_136724]) ).

tcf(c_141016,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK0) ),
    inference(superposition,[status(thm)],[c_1375,c_136724]) ).

tcf(c_141017,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | model_max(sK0,sK1,sK0) ),
    inference(superposition,[status(thm)],[c_40598,c_136724]) ).

tcf(c_141020,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X1,X0),X0,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_136724]) ).

tcf(c_141021,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X0,X1),X1,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_136724]) ).

tcf(c_141022,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X1,X0),X1,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_136724]) ).

tcf(c_141023,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X0,X1),X0,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_136724]) ).

tcf(c_141024,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK1,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_136724]) ).

tcf(c_141025,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,X0,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_136724]) ).

tcf(c_141026,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,max(X1,X0),sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_136724]) ).

tcf(c_141027,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,max(X0,X1),sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_136724]) ).

tcf(c_141028,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,max(X1,X0),sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_136724]) ).

tcf(c_141029,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,max(X0,X1),sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_136724]) ).

tcf(c_141030,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,X0,sK0)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30012,c_136724]) ).

tcf(c_141031,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,X0,sK0)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28847,c_136724]) ).

tcf(c_141032,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,X0,sK0)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27324,c_136724]) ).

tcf(c_141033,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,X0,sK0)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27205,c_136724]) ).

tcf(c_141035,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK2,sK0)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_30013,c_136724]) ).

tcf(c_141036,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK2,sK0)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_28848,c_136724]) ).

tcf(c_141037,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK2,sK0)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_27325,c_136724]) ).

tcf(c_141038,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK2,sK0)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_27206,c_136724]) ).

tcf(c_141039,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | model_max(sK0,sK2,sK0) ),
    inference(superposition,[status(thm)],[c_25411,c_136724]) ).

tcf(c_141042,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,X0,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_136724]) ).

tcf(c_141043,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK0,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_136724]) ).

tcf(c_141044,plain,
    ( lesseq(sK2,sK1)
    | model_max(sK1,sK0,sK2)
    | model_max(sK1,max(sK1,sK0),sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_136724]) ).

tcf(c_141045,plain,
    ( lesseq(sK2,sK1)
    | model_max(sK1,sK0,sK2)
    | model_max(max(sK1,sK0),sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_136724]) ).

tcf(c_141046,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | model_max(sK5(sK0,sK1,sK2),sK2,sK0) ),
    inference(superposition,[status(thm)],[c_38422,c_136724]) ).

tcf(c_141047,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | model_max(sK2,sK5(sK0,sK1,sK2),sK0) ),
    inference(superposition,[status(thm)],[c_31045,c_136724]) ).

tcf(c_141048,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | model_max(sK2,max(sK1,sK0),sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36518,c_136724]) ).

tcf(c_141049,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK1,sK0,sK2)
    | model_max(max(sK1,sK0),sK2,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_36519,c_136724]) ).

tcf(c_141062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X3)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_2536]) ).

tcf(c_141063,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X3)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_2529]) ).

tcf(c_141064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK2,X3)
      | lesseq(X3,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_1530]) ).

tcf(c_141065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136724,c_1476]) ).

tcf(c_141066,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK2,sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_3134]) ).

tcf(c_141067,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136724,c_1461]) ).

tcf(c_141068,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = sK2 )
      | ~ lesseq(max(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_136724,c_72]) ).

tcf(c_141069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_1402]) ).

tcf(c_141070,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_136724,c_60]) ).

tcf(c_141073,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136724,c_28844]) ).

tcf(c_141074,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = sK2 )
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136724,c_27321]) ).

tcf(c_141075,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(max(X0,X1),sK1) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136724,c_131533]) ).

tcf(c_141076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK0,sK1,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_37115]) ).

tcf(c_141077,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK0,sK0,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_66446]) ).

tcf(c_141078,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136724,c_30011]) ).

tcf(c_141079,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136724,c_28846]) ).

tcf(c_141080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK0,sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_25619]) ).

tcf(c_141081,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK2,sK0,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_25537]) ).

tcf(c_141082,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(X3,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_28627]) ).

tcf(c_141083,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK1,sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_24817]) ).

tcf(c_141084,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK2,sK1,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_24675]) ).

tcf(c_141085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136724,c_27323]) ).

tcf(c_141086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_136724,c_27204]) ).

tcf(c_141087,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(X3,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_26986]) ).

tcf(c_141088,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_26081]) ).

tcf(c_141089,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_136724,c_24529]) ).

tcf(c_141090,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_136724,c_25409]) ).

tcf(c_141092,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2))
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_136724,c_36424]) ).

tcf(c_141690,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_28649]) ).

tcf(c_141691,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_28613]) ).

tcf(c_141694,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_27007]) ).

tcf(c_141695,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_26975]) ).

tcf(c_141696,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_26068]) ).

tcf(c_141697,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_24518]) ).

tcf(c_141698,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_2536]) ).

tcf(c_141699,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_2529]) ).

tcf(c_141700,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_1530]) ).

tcf(c_141701,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_1476]) ).

tcf(c_141702,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_3134]) ).

tcf(c_141703,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_137323,c_1461]) ).

tcf(c_141704,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK1,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_137323,c_72]) ).

tcf(c_141707,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_68]) ).

tcf(c_141708,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( max(sK1,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_67]) ).

tcf(c_141711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,X2)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_137323,c_1437]) ).

tcf(c_141712,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(sK1,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_137323,c_62]) ).

tcf(c_141713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_137323,c_1762]) ).

tcf(c_141714,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK1,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_137323,c_1733]) ).

tcf(c_141739,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_28611]) ).

tcf(c_141740,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_26066]) ).

tcf(c_141758,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK1,X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_137323,c_1405]) ).

tcf(c_141759,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_1496]) ).

tcf(c_141760,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | model_max(sK1,sK0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_3116]) ).

tcf(c_141763,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_137323,c_42331]) ).

tcf(c_142344,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | ( max(sK0,sK4(X0,X1,sK1)) = sK0 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_137355,c_55]) ).

tcf(c_142350,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_28613]) ).

tcf(c_142354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_26975]) ).

tcf(c_142357,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_2536]) ).

tcf(c_142358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_2529]) ).

tcf(c_142361,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_3134]) ).

tcf(c_142363,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK1 )
      | ( max(sK0,X0) = sK0 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_137355,c_72]) ).

tcf(c_142365,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,X0) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_137355,c_60]) ).

tcf(c_142386,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(sK0,X1) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_137355,c_1405]) ).

tcf(c_142387,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_1496]) ).

tcf(c_142388,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_3116]) ).

tcf(c_142389,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,X0) = sK0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_137355,c_1390]) ).

tcf(c_142390,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(sK0,X0) = sK0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_137355,c_1376]) ).

tcf(c_142391,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137355,c_42331]) ).

tcf(c_142459,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | minsol_model_ub(X0,X1,sK1)
      | ( max(sK4(X0,X1,sK1),sK0) = sK0 )
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_137356,c_55]) ).

tcf(c_142465,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_28613]) ).

tcf(c_142469,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_26975]) ).

tcf(c_142472,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X1,X2)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_2536]) ).

tcf(c_142473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_2529]) ).

tcf(c_142476,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_3134]) ).

tcf(c_142478,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK1 )
      | ( max(X0,sK0) = sK0 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_137356,c_72]) ).

tcf(c_142480,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | ( max(X0,sK0) = sK0 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_137356,c_60]) ).

tcf(c_142501,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(max(sK1,sK0),X0)
      | ( max(X1,sK0) = sK0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_137356,c_1405]) ).

tcf(c_142502,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_1496]) ).

tcf(c_142503,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_3116]) ).

tcf(c_142504,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(X0,sK0) = sK0 )
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_137356,c_1390]) ).

tcf(c_142505,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( max(X0,sK0) = sK0 )
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_137356,c_1376]) ).

tcf(c_142506,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | ( sK0 = sK2 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_137356,c_42331]) ).

tcf(c_142627,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK1)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_141016]) ).

tcf(c_142636,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_141016,c_1405]) ).

tcf(c_142637,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_141016,c_1496]) ).

tcf(c_142638,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | model_max(X0,X0,sK0) ),
    inference(superposition,[status(thm)],[c_141016,c_3116]) ).

tcf(c_142639,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_141016,c_1390]) ).

tcf(c_142640,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_141016,c_1376]) ).

tcf(c_142641,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_141016,c_42331]) ).

tcf(c_142648,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_141016,c_29276]) ).

tcf(c_142649,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_141016,c_28039]) ).

tcf(c_142655,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_141016,c_1405]) ).

tcf(c_142656,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_141016,c_1496]) ).

tcf(c_142658,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_141016,c_1390]) ).

tcf(c_142659,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_141016,c_1376]) ).

tcf(c_142969,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_46232]) ).

tcf(c_142970,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_38720]) ).

tcf(c_142971,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_25707]) ).

tcf(c_142972,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_37893]) ).

tcf(c_142973,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_24532]) ).

tcf(c_142974,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_37379]) ).

tcf(c_142975,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_33799]) ).

tcf(c_142976,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_33192]) ).

tcf(c_142978,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47647,c_27794]) ).

tcf(c_142979,plain,
    ( model_max(sK0,sK1,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_40750]) ).

tcf(c_142980,plain,
    ( model_max(sK0,sK0,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_44569]) ).

tcf(c_142981,plain,
    ( model_max(sK0,sK2,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_25644]) ).

tcf(c_142982,plain,
    ( model_max(sK2,sK0,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_25562]) ).

tcf(c_142984,plain,
    ( model_max(sK1,sK2,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_24842]) ).

tcf(c_142985,plain,
    ( model_max(sK2,sK1,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_24700]) ).

tcf(c_142986,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_25708]) ).

tcf(c_142987,plain,
    ( lesseq(sK1,sK0)
    | model_max(sK0,max(sK1,sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_24533]) ).

tcf(c_142994,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(max(sK1,sK0),sK0) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_47647,c_2865]) ).

tcf(c_142999,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,sK0) = sK0 )
    | ( max(sK0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_47647,c_2861]) ).

tcf(c_143001,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,max(sK1,sK0),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47647,c_1437]) ).

tcf(c_143006,plain,
    ( model_max(sK0,max(sK1,sK0),sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_1353]) ).

tcf(c_143007,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ model_max(sK0,max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_47647,c_63]) ).

tcf(c_143008,plain,
    ! [X0: $i] :
      ( model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47647,c_62]) ).

tcf(c_143020,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK1,X0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_46208]) ).

tcf(c_143021,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_38694]) ).

tcf(c_143022,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_25719]) ).

tcf(c_143023,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_25039]) ).

tcf(c_143024,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_37867]) ).

tcf(c_143025,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_33773]) ).

tcf(c_143026,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | model_max(sK0,max(sK1,sK0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_33166]) ).

tcf(c_143027,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_3713]) ).

tcf(c_143028,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_2539]) ).

tcf(c_143029,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_2532]) ).

tcf(c_143030,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_1497]) ).

tcf(c_143031,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_1851]) ).

tcf(c_143032,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,max(sK1,sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_1351]) ).

tcf(c_143033,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(sK0,max(sK1,sK0),max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47647,c_1440]) ).

tcf(c_143305,plain,
    ( model_max(sK0,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_143006]) ).

tcf(c_143312,plain,
    ( lesseq(sK0,sK0)
    | lesseq(max(sK0,max(sK1,sK0)),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143006,c_29276]) ).

tcf(c_143313,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK0,max(sK1,sK0)),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143006,c_28039]) ).

tcf(c_143319,plain,
    ! [X0: $i] :
      ( lesseq(max(sK0,max(sK1,sK0)),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_143006,c_1405]) ).

tcf(c_143320,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(sK0,max(sK1,sK0)),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143006,c_1496]) ).

tcf(c_143322,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,max(sK0,max(sK1,sK0))) = sK0 ) ),
    inference(superposition,[status(thm)],[c_143006,c_1390]) ).

tcf(c_143323,plain,
    ( ( sK1 = sK2 )
    | ( max(max(sK0,max(sK1,sK0)),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_143006,c_1376]) ).

tcf(c_143360,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_46232]) ).

tcf(c_143361,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_38720]) ).

tcf(c_143362,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_25707]) ).

tcf(c_143363,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_37893]) ).

tcf(c_143364,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_24532]) ).

tcf(c_143365,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_37379]) ).

tcf(c_143366,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_33799]) ).

tcf(c_143367,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_33192]) ).

tcf(c_143369,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47648,c_27794]) ).

tcf(c_143370,plain,
    ( model_max(sK0,sK1,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_40750]) ).

tcf(c_143371,plain,
    ( model_max(sK0,sK0,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_44569]) ).

tcf(c_143372,plain,
    ( model_max(sK0,sK2,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_25644]) ).

tcf(c_143373,plain,
    ( model_max(sK2,sK0,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_25562]) ).

tcf(c_143375,plain,
    ( model_max(sK1,sK2,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_24842]) ).

tcf(c_143376,plain,
    ( model_max(sK2,sK1,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_24700]) ).

tcf(c_143377,plain,
    ( lesseq(sK0,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_25708]) ).

tcf(c_143378,plain,
    ( lesseq(sK1,sK0)
    | model_max(max(sK1,sK0),sK0,sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_24533]) ).

tcf(c_143392,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK1,sK0),sK0,X1)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47648,c_1437]) ).

tcf(c_143397,plain,
    ( model_max(max(sK1,sK0),sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_1353]) ).

tcf(c_143398,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ model_max(max(sK1,sK0),sK0,X0) ),
    inference(superposition,[status(thm)],[c_47648,c_63]) ).

tcf(c_143399,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_47648,c_62]) ).

tcf(c_143411,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK1,X0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_46208]) ).

tcf(c_143412,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_38694]) ).

tcf(c_143413,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_25719]) ).

tcf(c_143414,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_25039]) ).

tcf(c_143415,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_37867]) ).

tcf(c_143416,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_33773]) ).

tcf(c_143417,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | model_max(max(sK1,sK0),sK0,sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_33166]) ).

tcf(c_143418,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_3713]) ).

tcf(c_143419,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_2539]) ).

tcf(c_143420,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_2532]) ).

tcf(c_143421,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_1497]) ).

tcf(c_143422,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_1851]) ).

tcf(c_143423,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(max(sK1,sK0),sK0,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_1351]) ).

tcf(c_143424,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | model_max(max(sK1,sK0),sK0,max(X0,X1))
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_47648,c_1440]) ).

tcf(c_143600,plain,
    ( lesseq(sK0,sK0)
    | lesseq(max(max(sK1,sK0),sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143397,c_29276]) ).

tcf(c_143601,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(max(sK1,sK0),sK0),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143397,c_28039]) ).

tcf(c_143607,plain,
    ! [X0: $i] :
      ( lesseq(max(max(sK1,sK0),sK0),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_143397,c_1405]) ).

tcf(c_143608,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | lesseq(max(max(sK1,sK0),sK0),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143397,c_1496]) ).

tcf(c_143610,plain,
    ( ( sK1 = sK2 )
    | ( max(sK0,max(max(sK1,sK0),sK0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_143397,c_1390]) ).

tcf(c_143611,plain,
    ( ( sK1 = sK2 )
    | ( max(max(max(sK1,sK0),sK0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_143397,c_1376]) ).

tcf(c_143787,plain,
    ( model_max(sK1,sK0,sK2)
    | model_max(sK0,sK1,sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_47673,c_73,c_80,c_81,c_83,c_85,c_599,c_1639,c_1875,c_2072,c_2485,c_2891,c_2974,c_3364,c_3625,c_3626,c_5341,c_5344,c_6233,c_6543,c_6572,c_7938,c_8488,c_8937,c_9378,c_12289,c_15750,c_17848,c_24043,c_24053,c_24074,c_24455,c_25025,c_25235,c_25353,c_27178,c_35503,c_53651]) ).

tcf(c_143793,plain,
    ( model_max(sK1,sK0,sK1)
    | model_max(sK0,sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_143787]) ).

tcf(c_143802,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_143787,c_1405]) ).

tcf(c_143803,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_143787,c_1496]) ).

tcf(c_143804,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_143787,c_3116]) ).

tcf(c_143805,plain,
    ( model_max(sK0,sK1,sK0)
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_143787,c_1390]) ).

tcf(c_143806,plain,
    ( model_max(sK0,sK1,sK0)
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_143787,c_1376]) ).

tcf(c_143807,plain,
    ( lesseq(sK2,sK2)
    | model_max(sK0,sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143787,c_42331]) ).

tcf(c_143843,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_143804,c_1405]) ).

tcf(c_143844,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_143804,c_1496]) ).

tcf(c_143845,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,sK0)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_143804,c_3116]) ).

tcf(c_143846,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_143804,c_1390]) ).

tcf(c_143847,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_143804,c_1376]) ).

tcf(c_143852,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | model_max(sK0,sK1,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_143804,c_42331]) ).

tcf(c_143929,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK1,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_29276]) ).

tcf(c_143930,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | lesseq(max(sK1,sK1),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_28039]) ).

tcf(c_143936,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK0)
      | lesseq(max(sK1,sK1),X1)
      | ( sK1 = sK2 )
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_48734,c_1405]) ).

tcf(c_143937,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK1,sK1),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_1496]) ).

tcf(c_143939,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,max(sK1,sK1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_48734,c_1390]) ).

tcf(c_143940,plain,
    ! [X0: $i] :
      ( model_max(X0,X0,sK0)
      | ( sK1 = sK2 )
      | ( max(max(sK1,sK1),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_48734,c_1376]) ).

tcf(c_143942,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK1,sK0)
      | model_max(sK1,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_35185]) ).

tcf(c_143943,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(max(sK1,sK1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_35184]) ).

tcf(c_143944,plain,
    ( model_max(sK1,sK1,sK0)
    | ( sK1 = sK2 )
    | ( max(sK2,max(sK1,sK1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_35183]) ).

tcf(c_143949,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | model_max(sK1,sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_29276]) ).

tcf(c_143950,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK1,sK1,X0)
      | lesseq(max(X0,X0),sK2)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_28039]) ).

tcf(c_143956,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK1,X1)
      | lesseq(max(X1,X1),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_48734,c_1405]) ).

tcf(c_143957,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | model_max(sK1,sK1,X0)
      | lesseq(max(X0,X0),X1)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_48734,c_1496]) ).

tcf(c_143959,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_48734,c_1390]) ).

tcf(c_143960,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK1,X0)
      | ( sK1 = sK2 )
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_48734,c_1376]) ).

tcf(c_143971,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_143949,c_1375]) ).

tcf(c_144039,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_49865,c_72]) ).

tcf(c_144041,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_49865,c_60]) ).

tcf(c_144123,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_50247,c_72]) ).

tcf(c_144125,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_50247,c_60]) ).

tcf(c_144173,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK1,sK0),sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_56485,c_73,c_80,c_81,c_83,c_85,c_599,c_1875,c_2485,c_2891,c_2974,c_3626,c_5344,c_6543,c_7938,c_8488,c_8937,c_9378,c_15750,c_24043,c_24053,c_24074,c_25024,c_28907]) ).

tcf(c_144189,plain,
    ( lesseq(sK1,sK0)
    | lesseq(max(sK1,sK0),sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_144173]) ).

tcf(c_144202,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_144173,c_2536]) ).

tcf(c_144206,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK2)
      | model_max(max(sK1,sK0),max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_144173,c_3134]) ).

tcf(c_144208,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK0) = sK2 )
    | ~ lesseq(sK2,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_144173,c_72]) ).

tcf(c_144236,plain,
    lesseq(max(sK0,sK0),sK2),
    inference(global_subsumption_just,[status(thm)],[c_61689,c_3084,c_31898]) ).

tcf(c_144248,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1462,c_137360]) ).

tcf(c_144249,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1462,c_137360]) ).

tcf(c_144250,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X0,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1477,c_137360]) ).

tcf(c_144251,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X0,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1463,c_137360]) ).

tcf(c_144252,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X0,sK0) ),
    inference(superposition,[status(thm)],[c_1375,c_137360]) ).

tcf(c_144256,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X1,X0),X0,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2864,c_137360]) ).

tcf(c_144257,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X0,X1),X1,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2860,c_137360]) ).

tcf(c_144258,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X1,X0),X1,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2865,c_137360]) ).

tcf(c_144259,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(max(X0,X1),X0,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2861,c_137360]) ).

tcf(c_144260,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK1,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27205,c_137360]) ).

tcf(c_144261,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,X0,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_27325,c_137360]) ).

tcf(c_144262,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,max(X1,X0),sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_3000,c_137360]) ).

tcf(c_144263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,max(X0,X1),sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2995,c_137360]) ).

tcf(c_144264,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,max(X1,X0),sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_3001,c_137360]) ).

tcf(c_144265,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,max(X0,X1),sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2996,c_137360]) ).

tcf(c_144278,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK0,X0,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30013,c_137360]) ).

tcf(c_144279,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,sK0,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_28847,c_137360]) ).

tcf(c_144280,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK1,sK0,sK2)
    | model_max(sK1,max(sK1,sK0),sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25462,c_137360]) ).

tcf(c_144281,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK1,sK0,sK2)
    | model_max(max(sK1,sK0),sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_25455,c_137360]) ).

tcf(c_144300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | model_max(sK1,sK0,sK2)
      | model_max(X1,X2,sK0)
      | model_max(X3,X3,X0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_137360,c_2536]) ).

tcf(c_144301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(X3,X0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X3)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_137360,c_2529]) ).

tcf(c_144304,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_137360,c_3134]) ).

tcf(c_144306,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = sK1 )
      | ~ lesseq(max(X0,X1),sK1) ),
    inference(superposition,[status(thm)],[c_137360,c_72]) ).

tcf(c_144308,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ~ lesseq(max(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_137360,c_60]) ).

tcf(c_144987,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_40604,c_28850]) ).

tcf(c_144992,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_2108]) ).

tcf(c_144993,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X0 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_1956]) ).

tcf(c_144994,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_1585]) ).

tcf(c_144995,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_1580]) ).

tcf(c_144996,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X1,X2),X0)
      | ( max(max(X1,X2),sK0) = max(X1,X2) )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_28850,c_1405]) ).

tcf(c_144997,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_1496]) ).

tcf(c_144999,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK2,max(X0,X1)) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_1390]) ).

tcf(c_145000,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(max(X0,X1),sK2) = sK2 )
      | ( max(max(X0,X1),sK0) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_1376]) ).

tcf(c_145002,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK0,sK1),sK0) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_40730]) ).

tcf(c_145004,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(max(X0,X0),sK0) = max(X0,X0) ) ),
    inference(superposition,[status(thm)],[c_28850,c_1413]) ).

tcf(c_145006,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK0,sK2),sK0) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_28850,c_25625]) ).

tcf(c_145008,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK2,sK0),sK0) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_28850,c_25543]) ).

tcf(c_145015,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(max(sK1,sK1),sK0) = max(sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_42338]) ).

tcf(c_145016,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK2,sK1),sK0) = max(sK2,sK1) ) ),
    inference(superposition,[status(thm)],[c_28850,c_24681]) ).

tcf(c_145017,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK1,sK2),sK0) = max(sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_28850,c_24823]) ).

tcf(c_145018,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK2,sK5(sK0,sK1,sK2)),sK0) = max(sK2,sK5(sK0,sK1,sK2)) ) ),
    inference(superposition,[status(thm)],[c_28850,c_31071]) ).

tcf(c_145019,plain,
    ( lesseq(sK2,sK2)
    | ( max(max(sK5(sK0,sK1,sK2),sK2),sK0) = max(sK5(sK0,sK1,sK2),sK2) ) ),
    inference(superposition,[status(thm)],[c_28850,c_38452]) ).

tcf(c_145059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK5(X0,X1,X2),sK1)
      | ( sK0 = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_40604,c_29277]) ).

tcf(c_145064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X3)
      | lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_28649]) ).

tcf(c_145068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK1,X3)
      | lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | lesseq(sK5(X0,X1,X2),sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_27007]) ).

tcf(c_145072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X4,sK2)
      | model_max(X3,X3,X4)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_2536]) ).

tcf(c_145073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_2529]) ).

tcf(c_145074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X4,sK2)
      | lesseq(X3,X4)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_1530]) ).

tcf(c_145075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | ( max(X3,sK5(X0,X1,X2)) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_1476]) ).

tcf(c_145076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | model_max(sK5(X0,X1,X2),sK5(X0,X1,X2),X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_3134]) ).

tcf(c_145077,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X3,sK2)
      | ( max(sK5(X0,X1,X2),X3) = X3 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_1461]) ).

tcf(c_145078,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ~ model_ub(X0,X1,X2)
      | ~ lesseq(sK2,sK5(X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_29277,c_72]) ).

tcf(c_145080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK5(X0,X1,X2),X3)
      | ~ lesseq(sK2,X3)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_60]) ).

tcf(c_145083,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X0,sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_1762]) ).

tcf(c_145084,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X1,sK2)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_29277,c_1733]) ).

tcf(c_145184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,X1)
      | model_max(X2,X2,sK2)
      | model_max(X1,X1,X2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30009]) ).

tcf(c_145185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30009]) ).

tcf(c_145234,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_59,c_30009]) ).

tcf(c_145235,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_30009]) ).

tcf(c_145236,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30009]) ).

tcf(c_145239,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | lesseq(X0,X2)
      | model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30009]) ).

tcf(c_145240,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( X1 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2538,c_30009]) ).

tcf(c_145242,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_30009]) ).

tcf(c_145243,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X1 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30009]) ).

tcf(c_145246,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,sK2)
      | ( X1 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30009]) ).

tcf(c_145247,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( X1 = sK2 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30009]) ).

tcf(c_145250,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_136596,c_30009]) ).

tcf(c_145251,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_136720,c_30009]) ).

tcf(c_145252,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136719,c_30009]) ).

tcf(c_145253,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136588,c_30009]) ).

tcf(c_145254,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40733,c_30009]) ).

tcf(c_145255,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_30009]) ).

tcf(c_145256,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK1,X0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_47808,c_30009]) ).

tcf(c_145257,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46966,c_30009]) ).

tcf(c_145258,plain,
    ! [X0: $i] :
      ( ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = sK0 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_46965,c_30009]) ).

tcf(c_145259,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40787,c_30009]) ).

tcf(c_145260,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40637,c_30009]) ).

tcf(c_145261,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_6990,c_30009]) ).

tcf(c_145273,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X2,X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_2532,c_30009]) ).

tcf(c_145274,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | ( max(X0,X1) = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1497,c_30009]) ).

tcf(c_145275,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK2)
      | ( max(X0,X1) = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_1351,c_30009]) ).

tcf(c_145277,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30009]) ).

tcf(c_145278,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3349,c_30009]) ).

tcf(c_145279,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2411,c_30009]) ).

tcf(c_145280,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30009]) ).

tcf(c_145281,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1494,c_30009]) ).

tcf(c_145282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,X2)
      | model_max(X2,X2,sK2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30009]) ).

tcf(c_145283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30009]) ).

tcf(c_145284,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30009]) ).

tcf(c_145285,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | model_max(X0,X0,max(X1,X2))
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2539,c_30009]) ).

tcf(c_145286,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30009]) ).

tcf(c_145287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,sK2)
      | lesseq(X0,max(X1,X2))
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30009]) ).

tcf(c_145302,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_30009]) ).

tcf(c_145303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | ( sK5(X0,X1,X2) = sK2 )
      | ( max(sK0,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_30009]) ).

tcf(c_145306,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK1,sK0,sK2)
      | model_max(X0,X1,sK0)
      | ( max(X0,X1) = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_136724,c_30009]) ).

tcf(c_145307,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_47811,c_30009]) ).

tcf(c_145308,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK0)
      | ( sK1 = sK2 )
      | ( max(X0,X1) = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_46968,c_30009]) ).

tcf(c_145345,plain,
    ! [X0: $i] :
      ( ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK2 )
      | ( max(sK0,max(X0,sK2)) = max(X0,sK2) ) ),
    inference(superposition,[status(thm)],[c_12029,c_30009]) ).

tcf(c_145350,plain,
    ( ( sK0 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(sK0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_74460,c_30009]) ).

tcf(c_145351,plain,
    ( ( sK1 = sK2 )
    | ( max(sK1,sK0) = sK2 )
    | ( max(sK0,max(sK1,sK0)) = max(sK1,sK0) ) ),
    inference(superposition,[status(thm)],[c_73342,c_30009]) ).

tcf(c_145352,plain,
    ! [X0: $i] :
      ( ( sK0 = sK2 )
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_40604,c_30009]) ).

tcf(c_145636,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK1)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_144252]) ).

tcf(c_145645,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_144252,c_1405]) ).

tcf(c_145646,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X0,sK2)
      | model_max(X1,X1,sK0)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_144252,c_1496]) ).

tcf(c_145647,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | model_max(sK1,sK0,X1)
      | model_max(X0,X0,sK0) ),
    inference(superposition,[status(thm)],[c_144252,c_3116]) ).

tcf(c_145648,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_144252,c_1390]) ).

tcf(c_145649,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_144252,c_1376]) ).

tcf(c_145650,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | model_max(X0,X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_144252,c_42331]) ).

tcf(c_145657,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_144252,c_29276]) ).

tcf(c_145658,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X0,X0),sK2) ),
    inference(superposition,[status(thm)],[c_144252,c_28039]) ).

tcf(c_145664,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X1,X1),X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_144252,c_1405]) ).

tcf(c_145665,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(X0,X0),X1) ),
    inference(superposition,[status(thm)],[c_144252,c_1496]) ).

tcf(c_145667,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(sK0,max(X0,X0)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_144252,c_1390]) ).

tcf(c_145668,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( max(max(X0,X0),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_144252,c_1376]) ).

tcf(c_145679,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK1,X0)
      | lesseq(X0,sK2)
      | model_max(sK1,sK0,sK2) ),
    inference(light_normalisation,[status(thm)],[c_145657,c_1375]) ).

tcf(c_146240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X0,sK2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK0,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_145083]) ).

tcf(c_146253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X1,sK2)
      | minsol_model_ub(X0,X1,X2)
      | lesseq(sK0,sK4(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_56,c_145084]) ).

tcf(c_146296,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_67360,c_72]) ).

tcf(c_146298,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_67360,c_60]) ).

tcf(c_146414,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_73650,c_72]) ).

tcf(c_146416,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_73650,c_60]) ).

tcf(c_146499,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK0 = sK2 )
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_74721,c_72]) ).

tcf(c_146501,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_74721,c_60]) ).

tcf(c_146566,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | minsol_model_ub(X0,X1,max(sK1,sK0))
      | ~ model_ub(X0,X1,max(sK1,sK0))
      | ~ lesseq(sK2,sK4(X0,X1,max(sK1,sK0))) ),
    inference(superposition,[status(thm)],[c_77483,c_55]) ).

tcf(c_146567,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_65553]) ).

tcf(c_146568,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_54804]) ).

tcf(c_146569,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_30311]) ).

tcf(c_146570,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_30230]) ).

tcf(c_146571,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_28649]) ).

tcf(c_146572,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_28613]) ).

tcf(c_146573,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_27640]) ).

tcf(c_146574,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_27550]) ).

tcf(c_146575,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_27007]) ).

tcf(c_146576,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_26975]) ).

tcf(c_146577,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_26068]) ).

tcf(c_146578,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_24518]) ).

tcf(c_146579,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_2536]) ).

tcf(c_146580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(max(sK1,sK0),max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_2529]) ).

tcf(c_146581,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_1530]) ).

tcf(c_146582,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,X0)
      | ( max(X1,max(sK1,sK0)) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_1476]) ).

tcf(c_146583,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,X0)
      | model_max(max(sK1,sK0),max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_3134]) ).

tcf(c_146584,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,X0)
      | ( max(max(sK1,sK0),X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_1461]) ).

tcf(c_146585,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_77483,c_72]) ).

tcf(c_146586,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_1402]) ).

tcf(c_146587,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_77483,c_60]) ).

tcf(c_146588,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | ( max(X0,max(sK1,sK0)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_68]) ).

tcf(c_146589,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | ( max(max(sK1,sK0),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_67]) ).

tcf(c_146590,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_30546]) ).

tcf(c_146591,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_27794]) ).

tcf(c_146592,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_1437]) ).

tcf(c_146593,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK1,sK0,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_62]) ).

tcf(c_146604,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_50248]) ).

tcf(c_146605,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_77483,c_49866]) ).

tcf(c_146868,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,sK1)
      | ( sK0 = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_40604,c_30015]) ).

tcf(c_146873,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X1,X0) = X1 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_2108]) ).

tcf(c_146874,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X1,X0) = X0 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_1956]) ).

tcf(c_146875,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK2)
      | ( max(X0,X1) = X1 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_1585]) ).

tcf(c_146876,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK2)
      | ( max(X0,X1) = X0 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_1580]) ).

tcf(c_146877,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(max(X1,X2),X0)
      | ( max(sK0,max(X1,X2)) = max(X1,X2) )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_30015,c_1405]) ).

tcf(c_146878,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK2)
      | lesseq(max(X0,X1),X2)
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_1496]) ).

tcf(c_146880,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK2,max(X0,X1)) = sK2 )
      | ( max(sK0,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_1390]) ).

tcf(c_146881,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(sK0,max(X0,X1)) = max(X0,X1) )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_30015,c_1376]) ).

tcf(c_146883,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,max(sK0,sK1)) = max(sK0,sK1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_40730]) ).

tcf(c_146885,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | ( max(sK0,max(X0,X0)) = max(X0,X0) ) ),
    inference(superposition,[status(thm)],[c_30015,c_1413]) ).

tcf(c_146887,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,max(sK0,sK2)) = max(sK0,sK2) ) ),
    inference(superposition,[status(thm)],[c_30015,c_25625]) ).

tcf(c_146889,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,max(sK2,sK0)) = max(sK2,sK0) ) ),
    inference(superposition,[status(thm)],[c_30015,c_25543]) ).

tcf(c_146896,plain,
    ( lesseq(sK2,sK2)
    | ( sK0 = sK2 )
    | ( max(sK0,max(sK1,sK1)) = max(sK1,sK1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_42338]) ).

tcf(c_146897,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,max(sK2,sK1)) = max(sK2,sK1) ) ),
    inference(superposition,[status(thm)],[c_30015,c_24681]) ).

tcf(c_146898,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,max(sK1,sK2)) = max(sK1,sK2) ) ),
    inference(superposition,[status(thm)],[c_30015,c_24823]) ).

tcf(c_146899,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,max(sK2,sK5(sK0,sK1,sK2))) = max(sK2,sK5(sK0,sK1,sK2)) ) ),
    inference(superposition,[status(thm)],[c_30015,c_31071]) ).

tcf(c_146900,plain,
    ( lesseq(sK2,sK2)
    | ( max(sK0,max(sK5(sK0,sK1,sK2),sK2)) = max(sK5(sK0,sK1,sK2),sK2) ) ),
    inference(superposition,[status(thm)],[c_30015,c_38452]) ).

tcf(c_146949,plain,
    ( ( sK0 = sK2 )
    | ( max(sK0,sK1) = sK1 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1463,c_30168]) ).

tcf(c_146954,plain,
    ( model_max(sK1,sK0,sK2)
    | lesseq(sK1,max(sK1,sK0))
    | model_max(max(sK1,sK0),sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_137360]) ).

tcf(c_146955,plain,
    ( model_max(sK1,sK0,sK2)
    | lesseq(sK2,max(sK1,sK0))
    | model_max(max(sK1,sK0),sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_136724]) ).

tcf(c_146958,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_46232]) ).

tcf(c_146959,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_38720]) ).

tcf(c_146960,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_25707]) ).

tcf(c_146961,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_37893]) ).

tcf(c_146962,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_24532]) ).

tcf(c_146963,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_37379]) ).

tcf(c_146964,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_33799]) ).

tcf(c_146965,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_33192]) ).

tcf(c_146972,plain,
    ( lesseq(max(sK1,sK0),sK2)
    | ( sK0 = sK2 )
    | ~ model_max(max(sK1,sK0),sK1,sK1) ),
    inference(superposition,[status(thm)],[c_30168,c_32627]) ).

tcf(c_146990,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK1,sK0),sK1,X1)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_30168,c_1437]) ).

tcf(c_146995,plain,
    ( model_max(max(sK1,sK0),sK1,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_1353]) ).

tcf(c_146996,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 )
      | ~ model_max(max(sK1,sK0),sK1,X0) ),
    inference(superposition,[status(thm)],[c_30168,c_63]) ).

tcf(c_146997,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_30168,c_62]) ).

tcf(c_147016,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | model_max(max(sK1,sK0),sK1,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_3713]) ).

tcf(c_147017,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(max(sK1,sK0),sK1,X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_2539]) ).

tcf(c_147018,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | lesseq(X1,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_2532]) ).

tcf(c_147019,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | lesseq(X1,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_1497]) ).

tcf(c_147020,plain,
    ! [X0: $i] :
      ( model_max(max(sK1,sK0),sK1,X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_1851]) ).

tcf(c_147021,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_1351]) ).

tcf(c_147022,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,max(sK1,sK0))
      | model_max(max(sK1,sK0),sK1,max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30168,c_1440]) ).

tcf(c_147642,plain,
    ( model_max(sK1,sK0,sK2)
    | lesseq(sK1,max(sK1,sK0))
    | model_max(sK1,max(sK1,sK0),sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_137360]) ).

tcf(c_147643,plain,
    ( model_max(sK1,sK0,sK2)
    | lesseq(sK2,max(sK1,sK0))
    | model_max(sK1,max(sK1,sK0),sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_136724]) ).

tcf(c_147646,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK1,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_46232]) ).

tcf(c_147647,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK2,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_38720]) ).

tcf(c_147648,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK0,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_25707]) ).

tcf(c_147649,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK0,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_37893]) ).

tcf(c_147650,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | lesseq(sK1,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_24532]) ).

tcf(c_147651,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK0,sK0,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_37379]) ).

tcf(c_147652,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK1,sK2,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_33799]) ).

tcf(c_147653,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK2)
      | model_max(sK2,sK1,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_33192]) ).

tcf(c_147656,plain,
    ( model_max(sK1,max(sK1,sK0),sK2)
    | model_max(sK0,sK1,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_40750]) ).

tcf(c_147657,plain,
    ( model_max(sK1,max(sK1,sK0),sK2)
    | model_max(sK0,sK0,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_44569]) ).

tcf(c_147658,plain,
    ( model_max(sK1,max(sK1,sK0),sK2)
    | model_max(sK0,sK2,max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_25644]) ).

tcf(c_147660,plain,
    ( lesseq(max(sK1,sK0),sK2)
    | ( sK0 = sK2 )
    | ~ model_max(sK1,max(sK1,sK0),sK1) ),
    inference(superposition,[status(thm)],[c_30169,c_32627]) ).

tcf(c_147678,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,max(sK1,sK0),X1)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_30169,c_1437]) ).

tcf(c_147683,plain,
    ( model_max(sK1,max(sK1,sK0),max(sK1,sK0))
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_1353]) ).

tcf(c_147684,plain,
    ! [X0: $i] :
      ( lesseq(max(sK1,sK0),X0)
      | ( sK0 = sK2 )
      | ~ model_max(sK1,max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_30169,c_63]) ).

tcf(c_147685,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 )
      | ~ lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_30169,c_62]) ).

tcf(c_147704,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | model_max(sK1,max(sK1,sK0),X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_3713]) ).

tcf(c_147705,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK1,max(sK1,sK0),X1)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_2539]) ).

tcf(c_147706,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | lesseq(X1,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_2532]) ).

tcf(c_147707,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | lesseq(X1,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_1497]) ).

tcf(c_147708,plain,
    ! [X0: $i] :
      ( model_max(sK1,max(sK1,sK0),X0)
      | model_max(X0,X0,max(sK1,sK0))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_1851]) ).

tcf(c_147709,plain,
    ! [X0: $i] :
      ( lesseq(X0,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),X0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_1351]) ).

tcf(c_147710,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X1,max(sK1,sK0))
      | model_max(sK1,max(sK1,sK0),max(X0,X1))
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_30169,c_1440]) ).

tcf(c_148021,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | minsol_model_ub(X0,X1,max(sK1,sK0))
      | ~ model_ub(X0,X1,max(sK1,sK0))
      | ~ lesseq(sK2,sK4(X0,X1,max(sK1,sK0))) ),
    inference(superposition,[status(thm)],[c_136613,c_55]) ).

tcf(c_148022,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_65553]) ).

tcf(c_148023,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | model_max(max(sK1,sK0),max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_54804]) ).

tcf(c_148024,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_30311]) ).

tcf(c_148025,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_30230]) ).

tcf(c_148026,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_28649]) ).

tcf(c_148027,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_28613]) ).

tcf(c_148028,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | ( max(max(sK1,sK0),sK2) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_27640]) ).

tcf(c_148029,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | ( max(sK2,max(sK1,sK0)) = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_27550]) ).

tcf(c_148030,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X1)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_27007]) ).

tcf(c_148031,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_26975]) ).

tcf(c_148032,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_26068]) ).

tcf(c_148033,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | lesseq(max(sK1,sK0),sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_24518]) ).

tcf(c_148034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_2536]) ).

tcf(c_148035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(max(sK1,sK0),max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_2529]) ).

tcf(c_148036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_1530]) ).

tcf(c_148037,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,X0)
      | ( max(X1,max(sK1,sK0)) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_1476]) ).

tcf(c_148038,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,X0)
      | model_max(max(sK1,sK0),max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_3134]) ).

tcf(c_148039,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,X0)
      | ( max(max(sK1,sK0),X1) = X1 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_1461]) ).

tcf(c_148040,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | ( max(sK1,sK0) = X0 )
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,max(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_136613,c_72]) ).

tcf(c_148041,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,X0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_1402]) ).

tcf(c_148042,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(sK2,X0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_136613,c_60]) ).

tcf(c_148043,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | ( max(X0,max(sK1,sK0)) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_68]) ).

tcf(c_148044,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | ( max(max(sK1,sK0),X0) = X0 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_67]) ).

tcf(c_148045,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_30546]) ).

tcf(c_148046,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_27794]) ).

tcf(c_148047,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,X0)
      | model_max(sK1,sK0,X1)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_1437]) ).

tcf(c_148048,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | model_max(sK1,sK0,X0)
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_62]) ).

tcf(c_148053,plain,
    ( lesseq(sK2,sK0)
    | lesseq(max(sK1,sK0),sK2)
    | ~ lesseq(sK2,sK1) ),
    inference(superposition,[status(thm)],[c_136613,c_32597]) ).

tcf(c_148059,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_50248]) ).

tcf(c_148060,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK2,X0) ),
    inference(superposition,[status(thm)],[c_136613,c_49866]) ).

tcf(c_148476,plain,
    ( lesseq(sK0,sK0)
    | model_max(sK1,sK0,sK2)
    | lesseq(max(sK1,sK1),sK2)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_140456,c_29276]) ).

tcf(c_148483,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | lesseq(max(sK1,sK1),X0)
      | ( sK1 = sK2 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_140456,c_1405]) ).

tcf(c_148484,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | lesseq(max(sK1,sK1),X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_140456,c_1496]) ).

tcf(c_148485,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | model_max(sK1,sK0,sK2)
      | model_max(sK1,sK1,X0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_140456,c_3116]) ).

tcf(c_148486,plain,
    ( model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 )
    | ( max(sK0,max(sK1,sK1)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_140456,c_1390]) ).

tcf(c_148487,plain,
    ( model_max(sK1,sK0,sK2)
    | ( sK1 = sK2 )
    | ( max(max(sK1,sK1),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_140456,c_1376]) ).

tcf(c_148511,plain,
    ( model_max(sK1,sK0,sK1)
    | model_max(sK0,sK1,sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_143793,c_73,c_80,c_1875,c_25470,c_36557,c_53651]) ).

tcf(c_148518,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK0,sK1,sK0)
    | lesseq(max(sK1,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_148511,c_29276]) ).

tcf(c_148519,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK0,sK1,sK0)
    | lesseq(max(sK1,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_148511,c_28039]) ).

tcf(c_148521,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK0,sK1,sK0)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_148511,c_2108]) ).

tcf(c_148522,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK0,sK1,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_148511,c_1956]) ).

tcf(c_148523,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK0,sK1,sK0)
    | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_148511,c_1585]) ).

tcf(c_148524,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK0,sK1,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_148511,c_1580]) ).

tcf(c_148525,plain,
    ! [X0: $i] :
      ( model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_148511,c_1405]) ).

tcf(c_148526,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_148511,c_1496]) ).

tcf(c_148527,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_148511,c_3116]) ).

tcf(c_148528,plain,
    ( model_max(sK0,sK1,sK0)
    | ( max(sK1,max(sK1,sK0)) = sK1 ) ),
    inference(superposition,[status(thm)],[c_148511,c_1390]) ).

tcf(c_148529,plain,
    ( model_max(sK0,sK1,sK0)
    | ( max(max(sK1,sK0),sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_148511,c_1376]) ).

tcf(c_148534,plain,
    ( lesseq(sK2,sK1)
    | model_max(sK0,sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148511,c_42331]) ).

tcf(c_148535,plain,
    ( lesseq(sK2,sK1)
    | model_max(sK0,sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148511,c_129494]) ).

tcf(c_148536,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK0,sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148511,c_128917]) ).

tcf(c_148537,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK0,sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148511,c_117502]) ).

tcf(c_148538,plain,
    ( lesseq(sK0,sK1)
    | model_max(sK0,sK1,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148511,c_47301]) ).

tcf(c_148539,plain,
    ( lesseq(sK1,sK1)
    | model_max(sK0,sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148511,c_25461]) ).

tcf(c_148824,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_148527,c_29276]) ).

tcf(c_148825,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),sK2) ),
    inference(superposition,[status(thm)],[c_148527,c_28039]) ).

tcf(c_148827,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_148527,c_2108]) ).

tcf(c_148828,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_148527,c_1956]) ).

tcf(c_148829,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( max(sK1,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_148527,c_1585]) ).

tcf(c_148830,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_148527,c_1580]) ).

tcf(c_148831,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_148527,c_1405]) ).

tcf(c_148832,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,sK0)
      | lesseq(max(sK1,sK0),X0) ),
    inference(superposition,[status(thm)],[c_148527,c_1496]) ).

tcf(c_148833,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,sK0)
      | model_max(sK1,sK0,X0) ),
    inference(superposition,[status(thm)],[c_148527,c_3116]) ).

tcf(c_148834,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( max(X0,max(sK1,sK0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_148527,c_1390]) ).

tcf(c_148835,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( max(max(sK1,sK0),X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_148527,c_1376]) ).

tcf(c_148840,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148527,c_42331]) ).

tcf(c_148841,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148527,c_129494]) ).

tcf(c_148842,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148527,c_128917]) ).

tcf(c_148843,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148527,c_117502]) ).

tcf(c_148844,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148527,c_47301]) ).

tcf(c_148845,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_148527,c_25461]) ).

tcf(c_149056,plain,
    ( lesseq(sK2,sK1)
    | model_max(sK0,sK1,sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_148534,c_73,c_80,c_1875,c_36557,c_40829,c_53651]) ).

tcf(c_149063,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | lesseq(max(sK0,sK1),sK2) ),
    inference(superposition,[status(thm)],[c_149056,c_29276]) ).

tcf(c_149066,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149056,c_2108]) ).

tcf(c_149068,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149056,c_1585]) ).

tcf(c_149070,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(max(sK0,sK1),X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_149056,c_1405]) ).

tcf(c_149071,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | lesseq(max(sK0,sK1),X0) ),
    inference(superposition,[status(thm)],[c_149056,c_1496]) ).

tcf(c_149072,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149056,c_3116]) ).

tcf(c_149073,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK0,max(sK0,sK1)) = sK0 ) ),
    inference(superposition,[status(thm)],[c_149056,c_1390]) ).

tcf(c_149074,plain,
    ( lesseq(sK2,sK1)
    | ( max(max(sK0,sK1),sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_149056,c_1376]) ).

tcf(c_149075,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK1,sK0) ),
    inference(superposition,[status(thm)],[c_149056,c_45992]) ).

tcf(c_149076,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK2,sK0) ),
    inference(superposition,[status(thm)],[c_149056,c_40730]) ).

tcf(c_149077,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0) ),
    inference(superposition,[status(thm)],[c_149056,c_31169]) ).

tcf(c_149087,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0) ),
    inference(light_normalisation,[status(thm)],[c_149071,c_40598]) ).

tcf(c_149091,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK1)
    | lesseq(sK0,sK0) ),
    inference(light_normalisation,[status(thm)],[c_149063,c_40598]) ).

tcf(c_149092,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ~ lesseq(sK0,X0) ),
    inference(light_normalisation,[status(thm)],[c_149070,c_40598]) ).

tcf(c_149096,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_149068,c_40598]) ).

tcf(c_149101,plain,
    ( lesseq(sK1,sK1)
    | lesseq(sK1,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_149075]) ).

tcf(c_149103,plain,
    ( lesseq(sK1,sK1)
    | lesseq(sK1,sK0)
    | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_149075,c_54804]) ).

tcf(c_149108,plain,
    ( lesseq(sK1,sK1)
    | lesseq(sK1,sK0)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149075,c_27640]) ).

tcf(c_149113,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK1)
    | lesseq(sK1,sK0) ),
    inference(superposition,[status(thm)],[c_149075,c_24518]) ).

tcf(c_149114,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_149075,c_2536]) ).

tcf(c_149115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_2529]) ).

tcf(c_149116,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149075,c_1530]) ).

tcf(c_149117,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_149075,c_1476]) ).

tcf(c_149118,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_3134]) ).

tcf(c_149119,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149075,c_1461]) ).

tcf(c_149121,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149075,c_1402]) ).

tcf(c_149122,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_60]) ).

tcf(c_149123,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149075,c_68]) ).

tcf(c_149124,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149075,c_67]) ).

tcf(c_149128,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149075,c_131533]) ).

tcf(c_149129,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_37115]) ).

tcf(c_149130,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_66446]) ).

tcf(c_149131,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149075,c_30011]) ).

tcf(c_149132,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149075,c_28846]) ).

tcf(c_149133,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_25619]) ).

tcf(c_149134,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_25537]) ).

tcf(c_149135,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149075,c_28627]) ).

tcf(c_149136,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_24817]) ).

tcf(c_149137,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149075,c_24675]) ).

tcf(c_149138,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149075,c_27323]) ).

tcf(c_149139,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_149075,c_27204]) ).

tcf(c_149140,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149075,c_26986]) ).

tcf(c_149141,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149075,c_26081]) ).

tcf(c_149142,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149075,c_24529]) ).

tcf(c_149143,plain,
    ( lesseq(sK1,sK0)
    | lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_149075,c_25409]) ).

tcf(c_149144,plain,
    ( lesseq(sK1,sK1)
    | lesseq(sK1,sK0) ),
    inference(superposition,[status(thm)],[c_149075,c_24427]) ).

tcf(c_149148,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149075,c_36420]) ).

tcf(c_149149,plain,
    ( lesseq(sK1,sK0)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149075,c_36417]) ).

tcf(c_149151,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK0) ),
    inference(superposition,[status(thm)],[c_149075,c_32597]) ).

tcf(c_149241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_149122]) ).

tcf(c_149242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_149122]) ).

tcf(c_149243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_149122]) ).

tcf(c_149248,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_25680,c_149122]) ).

tcf(c_149252,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_34338,c_149122]) ).

tcf(c_149265,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1387,c_149122]) ).

tcf(c_149267,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_149122]) ).

tcf(c_149268,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_149122]) ).

tcf(c_149271,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_149122]) ).

tcf(c_149272,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_149122]) ).

tcf(c_149275,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_149122]) ).

tcf(c_149276,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_149122]) ).

tcf(c_149277,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK0,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_149122]) ).

tcf(c_149278,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_149122]) ).

tcf(c_149279,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_149122]) ).

tcf(c_149280,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_149122]) ).

tcf(c_149281,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_149122]) ).

tcf(c_149282,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_149122]) ).

tcf(c_149283,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK1,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_149122]) ).

tcf(c_149284,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_149122]) ).

tcf(c_149285,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_149122]) ).

tcf(c_149286,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_149122]) ).

tcf(c_149287,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_149122]) ).

tcf(c_149289,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_149122]) ).

tcf(c_149290,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1373,c_149122]) ).

tcf(c_149292,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2537,c_149122]) ).

tcf(c_149293,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1491,c_149122]) ).

tcf(c_149294,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_24523,c_149122]) ).

tcf(c_149296,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK1) ),
    inference(superposition,[status(thm)],[c_2535,c_149122]) ).

tcf(c_149297,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_149122]) ).

tcf(c_149299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK1) ),
    inference(superposition,[status(thm)],[c_2411,c_149122]) ).

tcf(c_149300,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_149122]) ).

tcf(c_149303,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | model_max(X0,X0,sK1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_149122]) ).

tcf(c_149304,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_149122]) ).

tcf(c_149305,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,sK5(X0,sK1,X1))
      | ~ model_ub(X0,sK1,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_149122]) ).

tcf(c_149306,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,sK5(sK1,X0,X1))
      | ~ model_ub(sK1,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_149122]) ).

tcf(c_149307,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK0,sK1,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46208,c_149122]) ).

tcf(c_149308,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK0,sK2,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38694,c_149122]) ).

tcf(c_149311,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK2,sK0,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37867,c_149122]) ).

tcf(c_149312,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK1,sK2,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33773,c_149122]) ).

tcf(c_149313,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(sK2,sK1,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33166,c_149122]) ).

tcf(c_149314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | model_max(X2,X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_149122]) ).

tcf(c_149315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1497,c_149122]) ).

tcf(c_149316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(X0,X1,sK1)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1351,c_149122]) ).

tcf(c_149318,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X1,sK1)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_149122]) ).

tcf(c_149319,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_149122]) ).

tcf(c_149321,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_149122]) ).

tcf(c_149323,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_149122]) ).

tcf(c_149324,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_149122]) ).

tcf(c_149325,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_149122]) ).

tcf(c_149326,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X2,sK1)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_149122]) ).

tcf(c_149327,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_149122]) ).

tcf(c_149328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_149122]) ).

tcf(c_149329,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_46229,c_149122]) ).

tcf(c_149330,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_38717,c_149122]) ).

tcf(c_149331,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25699,c_149122]) ).

tcf(c_149332,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37890,c_149122]) ).

tcf(c_149333,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24524,c_149122]) ).

tcf(c_149334,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37376,c_149122]) ).

tcf(c_149335,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33796,c_149122]) ).

tcf(c_149336,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33189,c_149122]) ).

tcf(c_149339,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK0)
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24424,c_149122]) ).

tcf(c_149343,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_149122]) ).

tcf(c_149344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_149122]) ).

tcf(c_149349,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_149122]) ).

tcf(c_149350,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_149122]) ).

tcf(c_149352,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24531,c_149122]) ).

tcf(c_149353,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24530,c_149122]) ).

tcf(c_149354,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24421,c_149122]) ).

tcf(c_149363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24532,c_149122]) ).

tcf(c_149364,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24533,c_149122]) ).

tcf(c_149373,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_149122]) ).

tcf(c_149374,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_149122]) ).

tcf(c_149375,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_149122]) ).

tcf(c_149376,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_149122]) ).

tcf(c_149378,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_149122]) ).

tcf(c_149380,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_149122]) ).

tcf(c_149382,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_149122]) ).

tcf(c_149384,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_149122]) ).

tcf(c_149385,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_149122]) ).

tcf(c_149388,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_149122]) ).

tcf(c_149389,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_149122]) ).

tcf(c_149390,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_149122]) ).

tcf(c_149397,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_149122]) ).

tcf(c_149401,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(X0,sK1))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_149122]) ).

tcf(c_149402,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(sK1,X0))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_149122]) ).

tcf(c_149403,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(X0,sK1))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_149122]) ).

tcf(c_149404,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(sK1,X0))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_149122]) ).

tcf(c_149413,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_149122]) ).

tcf(c_149414,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_149122]) ).

tcf(c_149415,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25053,c_149122]) ).

tcf(c_149416,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25051,c_149122]) ).

tcf(c_149417,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25054,c_149122]) ).

tcf(c_149418,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25052,c_149122]) ).

tcf(c_149975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30228]) ).

tcf(c_149976,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30228]) ).

tcf(c_149983,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30228]) ).

tcf(c_150025,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_59,c_30228]) ).

tcf(c_150026,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_30228]) ).

tcf(c_150027,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30228]) ).

tcf(c_150030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30228]) ).

tcf(c_150031,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | ( X1 = sK0 )
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_30228]) ).

tcf(c_150032,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30228]) ).

tcf(c_150033,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_30228]) ).

tcf(c_150034,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( X1 = sK0 )
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30228]) ).

tcf(c_150037,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X1 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_30228]) ).

tcf(c_150038,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_30228]) ).

tcf(c_150039,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = sK0 )
      | ( max(sK2,max(X0,X1)) = sK2 )
      | ~ model_max(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_63,c_30228]) ).

tcf(c_150040,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(X0,X1,sK0) = sK0 )
      | ( max(sK2,sK5(X0,X1,sK0)) = sK2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_66,c_30228]) ).

tcf(c_150041,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( X1 = sK0 )
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30228]) ).

tcf(c_150042,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X1 = sK0 )
      | ( max(sK2,X1) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30228]) ).

tcf(c_150043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK5(X0,X1,X2) = sK0 )
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ lesseq(X2,sK0)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_30228]) ).

tcf(c_150044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ( sK5(X0,X1,X2) = sK0 )
      | ( max(sK2,sK5(X0,X1,X2)) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_30228]) ).

tcf(c_150050,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_47809,c_30228]) ).

tcf(c_150056,plain,
    ( lesseq(sK0,sK0)
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6990,c_30228]) ).

tcf(c_150057,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(max(sK1,sK0),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136617,c_30228]) ).

tcf(c_150058,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK2,max(sK1,sK0)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136616,c_30228]) ).

tcf(c_150060,plain,
    ( ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_6979,c_30228]) ).

tcf(c_150061,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30228]) ).

tcf(c_150062,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( X1 = sK0 )
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30228]) ).

tcf(c_150063,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_30228]) ).

tcf(c_150064,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_30228]) ).

tcf(c_150065,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X1 = sK0 )
      | ( max(sK2,X1) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30228]) ).

tcf(c_150066,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1494,c_30228]) ).

tcf(c_150067,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30228]) ).

tcf(c_150068,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30228]) ).

tcf(c_150069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30228]) ).

tcf(c_150070,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK0,sK0,max(X1,X2))
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_30228]) ).

tcf(c_150071,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30228]) ).

tcf(c_150072,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30228]) ).

tcf(c_150088,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_136668,c_30228]) ).

tcf(c_150089,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_30228]) ).

tcf(c_150090,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136687,c_30228]) ).

tcf(c_150091,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_30228]) ).

tcf(c_150092,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_30228]) ).

tcf(c_150093,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_30228]) ).

tcf(c_150094,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_6990,c_30228]) ).

tcf(c_150099,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( max(X1,X0) = X1 )
      | ( max(X0,X1) = sK0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_30228]) ).

tcf(c_150100,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = sK0 )
      | ( max(sK2,max(X0,X1)) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_30228]) ).

tcf(c_150415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | model_max(X2,X2,X0)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30309]) ).

tcf(c_150416,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30309]) ).

tcf(c_150423,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_24523,c_30309]) ).

tcf(c_150465,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_59,c_30309]) ).

tcf(c_150466,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_30309]) ).

tcf(c_150467,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30309]) ).

tcf(c_150470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30309]) ).

tcf(c_150471,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X0)
      | ( X1 = sK0 )
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_30309]) ).

tcf(c_150472,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,X1)
      | lesseq(X1,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30309]) ).

tcf(c_150473,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_30309]) ).

tcf(c_150474,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( X1 = sK0 )
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30309]) ).

tcf(c_150477,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X1 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4121,c_30309]) ).

tcf(c_150478,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X0,X1) = sK0 )
      | ( max(X0,X1) = X0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4120,c_30309]) ).

tcf(c_150479,plain,
    ! [X0: $i,X1: $i] :
      ( ( max(X0,X1) = sK0 )
      | ( max(max(X0,X1),sK2) = sK2 )
      | ~ model_max(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_63,c_30309]) ).

tcf(c_150480,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK5(X0,X1,sK0) = sK0 )
      | ( max(sK5(X0,X1,sK0),sK2) = sK2 )
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_66,c_30309]) ).

tcf(c_150481,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X0,X0,X1)
      | ( X1 = sK0 )
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_30309]) ).

tcf(c_150482,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X0,X1)
      | ( X1 = sK0 )
      | ( max(X1,sK2) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_30309]) ).

tcf(c_150483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK5(X0,X1,X2) = sK0 )
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ lesseq(X2,sK0)
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1553,c_30309]) ).

tcf(c_150484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | ( sK5(X0,X1,X2) = sK0 )
      | ( max(sK5(X0,X1,X2),sK2) = sK2 )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1552,c_30309]) ).

tcf(c_150501,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25680,c_30309]) ).

tcf(c_150502,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2531,c_30309]) ).

tcf(c_150503,plain,
    ! [X0: $i,X1: $i] :
      ( model_max(sK0,sK0,X1)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3349,c_30309]) ).

tcf(c_150504,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2411,c_30309]) ).

tcf(c_150505,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,X0)
      | ( X0 = sK0 )
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1493,c_30309]) ).

tcf(c_150506,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1494,c_30309]) ).

tcf(c_150507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X1)
      | model_max(sK0,sK0,X2)
      | model_max(X1,X1,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3536,c_30309]) ).

tcf(c_150508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | model_max(sK0,sK0,X1)
      | model_max(X1,X1,X2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_3525,c_30309]) ).

tcf(c_150509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(sK0,sK0,X1)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2535,c_30309]) ).

tcf(c_150510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | model_max(sK0,sK0,max(X1,X2))
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_2539,c_30309]) ).

tcf(c_150511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1529,c_30309]) ).

tcf(c_150512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( model_max(X1,X2,X0)
      | lesseq(sK0,max(X1,X2))
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_1497,c_30309]) ).

tcf(c_150528,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136668,c_30309]) ).

tcf(c_150529,plain,
    ! [X0: $i] :
      ( model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_136667,c_30309]) ).

tcf(c_150530,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136687,c_30309]) ).

tcf(c_150531,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | model_max(sK1,sK0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_136588,c_30309]) ).

tcf(c_150532,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | ( sK1 = sK2 )
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_30309]) ).

tcf(c_150533,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( sK1 = sK2 )
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_40637,c_30309]) ).

tcf(c_150534,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_6990,c_30309]) ).

tcf(c_150539,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X0)
      | ( max(X1,X0) = X1 )
      | ( max(X0,X1) = sK0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4126,c_30309]) ).

tcf(c_150540,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | ( max(X1,X0) = X0 )
      | ( max(X0,X1) = sK0 )
      | ( max(max(X0,X1),sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_4125,c_30309]) ).

tcf(c_151639,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_149076]) ).

tcf(c_151641,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK1)
    | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_149076,c_54804]) ).

tcf(c_151646,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK1)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149076,c_27640]) ).

tcf(c_151649,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149076,c_26975]) ).

tcf(c_151651,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK0)
    | lesseq(sK1,sK1) ),
    inference(superposition,[status(thm)],[c_149076,c_24518]) ).

tcf(c_151652,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_149076,c_2536]) ).

tcf(c_151653,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_2529]) ).

tcf(c_151654,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149076,c_1530]) ).

tcf(c_151655,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_149076,c_1476]) ).

tcf(c_151656,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_3134]) ).

tcf(c_151657,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149076,c_1461]) ).

tcf(c_151659,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149076,c_1402]) ).

tcf(c_151660,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_60]) ).

tcf(c_151661,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149076,c_68]) ).

tcf(c_151662,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149076,c_67]) ).

tcf(c_151666,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149076,c_131533]) ).

tcf(c_151667,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_37115]) ).

tcf(c_151668,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_66446]) ).

tcf(c_151669,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149076,c_30011]) ).

tcf(c_151670,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149076,c_28846]) ).

tcf(c_151671,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_25619]) ).

tcf(c_151672,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_25537]) ).

tcf(c_151673,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149076,c_28627]) ).

tcf(c_151674,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_24817]) ).

tcf(c_151675,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149076,c_24675]) ).

tcf(c_151676,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149076,c_27323]) ).

tcf(c_151677,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_149076,c_27204]) ).

tcf(c_151678,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149076,c_26986]) ).

tcf(c_151679,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149076,c_26081]) ).

tcf(c_151680,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149076,c_24529]) ).

tcf(c_151681,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_149076,c_25409]) ).

tcf(c_151682,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK1) ),
    inference(superposition,[status(thm)],[c_149076,c_24427]) ).

tcf(c_151686,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149076,c_36420]) ).

tcf(c_151687,plain,
    ( lesseq(sK2,sK0)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149076,c_36417]) ).

tcf(c_151689,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK0) ),
    inference(superposition,[status(thm)],[c_149076,c_32597]) ).

tcf(c_151920,plain,
    ( lesseq(sK0,sK1)
    | lesseq(sK0,sK0)
    | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_151681,c_65553]) ).

tcf(c_151921,plain,
    ( lesseq(sK1,sK0)
    | lesseq(sK0,sK1)
    | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_151681,c_54804]) ).

tcf(c_151922,plain,
    ( lesseq(sK0,sK1)
    | lesseq(sK0,sK0)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151681,c_30311]) ).

tcf(c_151925,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151681,c_28613]) ).

tcf(c_151926,plain,
    ( lesseq(sK1,sK0)
    | lesseq(sK0,sK1)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151681,c_27640]) ).

tcf(c_151929,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151681,c_26975]) ).

tcf(c_151930,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK1)
    | lesseq(sK0,sK0) ),
    inference(superposition,[status(thm)],[c_151681,c_26068]) ).

tcf(c_151931,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK1,sK0)
    | lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_151681,c_24518]) ).

tcf(c_151932,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151681,c_2536]) ).

tcf(c_151933,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_2529]) ).

tcf(c_151934,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151681,c_1530]) ).

tcf(c_151935,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_1476]) ).

tcf(c_151936,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_3134]) ).

tcf(c_151937,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_1461]) ).

tcf(c_151939,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_151681,c_1402]) ).

tcf(c_151940,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_60]) ).

tcf(c_151941,plain,
    ( lesseq(sK0,sK1)
    | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_68]) ).

tcf(c_151942,plain,
    ( lesseq(sK0,sK1)
    | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_67]) ).

tcf(c_151947,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_37115]) ).

tcf(c_151948,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_66446]) ).

tcf(c_151949,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_30011]) ).

tcf(c_151950,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_28846]) ).

tcf(c_151951,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_25619]) ).

tcf(c_151952,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_25537]) ).

tcf(c_151953,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151681,c_28627]) ).

tcf(c_151954,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_24817]) ).

tcf(c_151955,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151681,c_24675]) ).

tcf(c_151956,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_27323]) ).

tcf(c_151957,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_151681,c_27204]) ).

tcf(c_151958,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151681,c_26986]) ).

tcf(c_151959,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_151681,c_26081]) ).

tcf(c_151960,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_151681,c_24529]) ).

tcf(c_151961,plain,
    ( lesseq(sK0,sK1)
    | lesseq(sK0,sK0) ),
    inference(superposition,[status(thm)],[c_151681,c_25409]) ).

tcf(c_151964,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151681,c_36424]) ).

tcf(c_152098,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_149087]) ).

tcf(c_152101,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_149087,c_54804]) ).

tcf(c_152106,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_27640]) ).

tcf(c_152111,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_24518]) ).

tcf(c_152112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_2536]) ).

tcf(c_152113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_2529]) ).

tcf(c_152114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_1530]) ).

tcf(c_152115,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_1476]) ).

tcf(c_152116,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_3134]) ).

tcf(c_152117,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_1461]) ).

tcf(c_152119,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_1402]) ).

tcf(c_152120,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_60]) ).

tcf(c_152121,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149087,c_68]) ).

tcf(c_152122,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149087,c_67]) ).

tcf(c_152126,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_149087,c_131533]) ).

tcf(c_152127,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_37115]) ).

tcf(c_152128,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_66446]) ).

tcf(c_152129,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30011]) ).

tcf(c_152130,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_28846]) ).

tcf(c_152131,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_25619]) ).

tcf(c_152132,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_25537]) ).

tcf(c_152133,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_28627]) ).

tcf(c_152134,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_24817]) ).

tcf(c_152135,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_24675]) ).

tcf(c_152136,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_27323]) ).

tcf(c_152137,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_27204]) ).

tcf(c_152138,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_26986]) ).

tcf(c_152139,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_26081]) ).

tcf(c_152140,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_24529]) ).

tcf(c_152142,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_24427]) ).

tcf(c_152146,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_36420]) ).

tcf(c_152147,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_36417]) ).

tcf(c_152149,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_32597]) ).

tcf(c_152150,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK0)
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_149087,c_55]) ).

tcf(c_152156,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_28613]) ).

tcf(c_152160,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_26975]) ).

tcf(c_152164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_2529]) ).

tcf(c_152166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_1476]) ).

tcf(c_152167,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_3134]) ).

tcf(c_152168,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_1461]) ).

tcf(c_152169,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149087,c_72]) ).

tcf(c_152171,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_60]) ).

tcf(c_152172,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_68]) ).

tcf(c_152173,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_67]) ).

tcf(c_152174,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30009]) ).

tcf(c_152175,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_28844]) ).

tcf(c_152176,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_27321]) ).

tcf(c_152177,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_131533]) ).

tcf(c_152178,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_37115]) ).

tcf(c_152179,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_66446]) ).

tcf(c_152180,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30011]) ).

tcf(c_152181,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_28846]) ).

tcf(c_152182,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_25619]) ).

tcf(c_152183,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_25537]) ).

tcf(c_152184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_28627]) ).

tcf(c_152185,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_24817]) ).

tcf(c_152186,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_24675]) ).

tcf(c_152187,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_27323]) ).

tcf(c_152188,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_27204]) ).

tcf(c_152189,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_26986]) ).

tcf(c_152190,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_26081]) ).

tcf(c_152191,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_24529]) ).

tcf(c_152192,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_25409]) ).

tcf(c_152193,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_149087,c_24427]) ).

tcf(c_152195,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149087,c_36424]) ).

tcf(c_152202,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30309]) ).

tcf(c_152205,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_26066]) ).

tcf(c_152206,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_149087,c_65553]) ).

tcf(c_152208,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30311]) ).

tcf(c_152209,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30230]) ).

tcf(c_152210,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149087,c_28649]) ).

tcf(c_152211,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_28613]) ).

tcf(c_152214,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149087,c_27007]) ).

tcf(c_152216,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149087,c_26068]) ).

tcf(c_152218,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_2536]) ).

tcf(c_152219,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_2529]) ).

tcf(c_152220,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_1530]) ).

tcf(c_152221,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_1476]) ).

tcf(c_152222,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_3134]) ).

tcf(c_152223,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_149087,c_1461]) ).

tcf(c_152224,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_72]) ).

tcf(c_152225,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149087,c_1402]) ).

tcf(c_152226,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_60]) ).

tcf(c_152227,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_68]) ).

tcf(c_152228,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_67]) ).

tcf(c_152229,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_149087,c_30546]) ).

tcf(c_152231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_149087,c_1437]) ).

tcf(c_152232,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_149087,c_62]) ).

tcf(c_152233,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_149087,c_1762]) ).

tcf(c_152234,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_149087,c_1733]) ).

tcf(c_152238,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_131533]) ).

tcf(c_152240,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_66446]) ).

tcf(c_152241,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30011]) ).

tcf(c_152242,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_28846]) ).

tcf(c_152243,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_25619]) ).

tcf(c_152244,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_25537]) ).

tcf(c_152246,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_24817]) ).

tcf(c_152247,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149087,c_24675]) ).

tcf(c_152248,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_27323]) ).

tcf(c_152256,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149087,c_36424]) ).

tcf(c_152259,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_34831]) ).

tcf(c_152261,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30309]) ).

tcf(c_152262,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149087,c_30228]) ).

tcf(c_152263,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_28611]) ).

tcf(c_152264,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2)
      | ( X0 = sK0 ) ),
    inference(superposition,[status(thm)],[c_149087,c_26066]) ).

tcf(c_152282,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK1)
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_152238,c_40598]) ).

tcf(c_153239,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK1)
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_149121,c_55]) ).

tcf(c_153253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_2529]) ).

tcf(c_153255,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_1476]) ).

tcf(c_153257,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_1461]) ).

tcf(c_153258,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149121,c_72]) ).

tcf(c_153260,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149121,c_60]) ).

tcf(c_153263,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_30009]) ).

tcf(c_153264,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_28844]) ).

tcf(c_153265,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_27321]) ).

tcf(c_153267,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_37115]) ).

tcf(c_153268,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_66446]) ).

tcf(c_153269,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_30011]) ).

tcf(c_153270,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_28846]) ).

tcf(c_153271,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_25619]) ).

tcf(c_153272,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_25537]) ).

tcf(c_153273,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149121,c_28627]) ).

tcf(c_153274,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_24817]) ).

tcf(c_153275,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_24675]) ).

tcf(c_153276,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_27323]) ).

tcf(c_153277,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_149121,c_27204]) ).

tcf(c_153278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK1,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149121,c_26986]) ).

tcf(c_153284,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_149121,c_36424]) ).

tcf(c_153295,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_149121,c_65553]) ).

tcf(c_153297,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149121,c_30311]) ).

tcf(c_153298,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_149121,c_30230]) ).

tcf(c_153299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149121,c_28649]) ).

tcf(c_153300,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_149121,c_28613]) ).

tcf(c_153303,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_149121,c_27007]) ).

tcf(c_153313,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X0)
      | ( X0 = sK1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_72]) ).

tcf(c_153315,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_149121,c_60]) ).

tcf(c_153318,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_149121,c_30546]) ).

tcf(c_153529,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_151659,c_65553]) ).

tcf(c_153531,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151659,c_30311]) ).

tcf(c_153534,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_28613]) ).

tcf(c_153538,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_26975]) ).

tcf(c_153539,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_26068]) ).

tcf(c_153541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_2536]) ).

tcf(c_153542,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_2529]) ).

tcf(c_153543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_1530]) ).

tcf(c_153544,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_1476]) ).

tcf(c_153545,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_3134]) ).

tcf(c_153546,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_1461]) ).

tcf(c_153548,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_1402]) ).

tcf(c_153549,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_60]) ).

tcf(c_153550,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_68]) ).

tcf(c_153551,plain,
    ! [X0: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_67]) ).

tcf(c_153556,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_37115]) ).

tcf(c_153557,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_66446]) ).

tcf(c_153558,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_30011]) ).

tcf(c_153559,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_28846]) ).

tcf(c_153560,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_25619]) ).

tcf(c_153561,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_25537]) ).

tcf(c_153562,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_28627]) ).

tcf(c_153563,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_24817]) ).

tcf(c_153564,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_24675]) ).

tcf(c_153565,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_27323]) ).

tcf(c_153566,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_27204]) ).

tcf(c_153567,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X2)
      | lesseq(sK1,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_26986]) ).

tcf(c_153568,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_26081]) ).

tcf(c_153569,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_24529]) ).

tcf(c_153570,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_25409]) ).

tcf(c_153573,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_36424]) ).

tcf(c_153576,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151659,c_28611]) ).

tcf(c_153578,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK1)
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_151659,c_55]) ).

tcf(c_153584,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_28613]) ).

tcf(c_153588,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_26975]) ).

tcf(c_153592,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_2529]) ).

tcf(c_153594,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_1476]) ).

tcf(c_153596,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_1461]) ).

tcf(c_153597,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151659,c_72]) ).

tcf(c_153599,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_60]) ).

tcf(c_153602,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_30009]) ).

tcf(c_153603,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_28844]) ).

tcf(c_153604,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_27321]) ).

tcf(c_153606,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_37115]) ).

tcf(c_153607,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_66446]) ).

tcf(c_153608,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_30011]) ).

tcf(c_153609,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_28846]) ).

tcf(c_153610,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_25619]) ).

tcf(c_153611,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_25537]) ).

tcf(c_153612,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_28627]) ).

tcf(c_153613,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_24817]) ).

tcf(c_153614,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_24675]) ).

tcf(c_153615,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_27323]) ).

tcf(c_153616,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_27204]) ).

tcf(c_153617,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_26986]) ).

tcf(c_153623,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151659,c_36424]) ).

tcf(c_153635,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_151659,c_54804]) ).

tcf(c_153638,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151659,c_28649]) ).

tcf(c_153640,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151659,c_27640]) ).

tcf(c_153641,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151659,c_27550]) ).

tcf(c_153642,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151659,c_27007]) ).

tcf(c_153643,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_26975]) ).

tcf(c_153646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_2536]) ).

tcf(c_153647,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_2529]) ).

tcf(c_153648,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_1530]) ).

tcf(c_153649,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X0,sK1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_151659,c_1476]) ).

tcf(c_153651,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK1)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_151659,c_1461]) ).

tcf(c_153652,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | ( X0 = sK1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_72]) ).

tcf(c_153654,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_151659,c_60]) ).

tcf(c_153655,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_151659,c_68]) ).

tcf(c_153656,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_151659,c_67]) ).

tcf(c_153658,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_151659,c_27794]) ).

tcf(c_153659,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_151659,c_1437]) ).

tcf(c_153660,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(X0,X1,sK1)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_151659,c_62]) ).

tcf(c_153661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_151659,c_1762]) ).

tcf(c_153662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_151659,c_1733]) ).

tcf(c_153666,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK0)
    | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_151659,c_131533]) ).

tcf(c_153689,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151659,c_36420]) ).

tcf(c_153690,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151659,c_36417]) ).

tcf(c_153691,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151659,c_36414]) ).

tcf(c_153695,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK1)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151659,c_42195]) ).

tcf(c_154129,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_151679,c_65553]) ).

tcf(c_154130,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_151679,c_54804]) ).

tcf(c_154131,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151679,c_30311]) ).

tcf(c_154134,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_28613]) ).

tcf(c_154135,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151679,c_27640]) ).

tcf(c_154139,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_26068]) ).

tcf(c_154140,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_24518]) ).

tcf(c_154141,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X2)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_2536]) ).

tcf(c_154142,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_2529]) ).

tcf(c_154143,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X2)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_1530]) ).

tcf(c_154144,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_1476]) ).

tcf(c_154145,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_3134]) ).

tcf(c_154146,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_1461]) ).

tcf(c_154148,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_1402]) ).

tcf(c_154149,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_60]) ).

tcf(c_154150,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK0,sK2) = sK0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_68]) ).

tcf(c_154151,plain,
    ! [X0: $i] :
      ( lesseq(sK0,X0)
      | lesseq(X0,sK1)
      | ( max(sK2,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_67]) ).

tcf(c_154156,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_37115]) ).

tcf(c_154157,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_66446]) ).

tcf(c_154158,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_30011]) ).

tcf(c_154159,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_28846]) ).

tcf(c_154160,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_25619]) ).

tcf(c_154161,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_25537]) ).

tcf(c_154162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_28627]) ).

tcf(c_154163,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_24817]) ).

tcf(c_154164,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_24675]) ).

tcf(c_154165,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_27323]) ).

tcf(c_154166,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_27204]) ).

tcf(c_154167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X2)
      | lesseq(X2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_26986]) ).

tcf(c_154168,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_26081]) ).

tcf(c_154169,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_24529]) ).

tcf(c_154170,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_25409]) ).

tcf(c_154173,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_36424]) ).

tcf(c_154178,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | minsol_model_ub(X0,X1,sK0)
      | lesseq(sK4(X0,X1,sK0),sK1)
      | ~ model_ub(X0,X1,sK0) ),
    inference(superposition,[status(thm)],[c_151679,c_55]) ).

tcf(c_154188,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151679,c_26975]) ).

tcf(c_154192,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_2529]) ).

tcf(c_154197,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | ( X0 = sK0 )
      | ~ lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_151679,c_72]) ).

tcf(c_154199,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X1)
      | lesseq(X0,sK1)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_60]) ).

tcf(c_154223,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151679,c_27007]) ).

tcf(c_154227,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_2536]) ).

tcf(c_154228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X2,sK1)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_2529]) ).

tcf(c_154230,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X1)
      | lesseq(X0,sK1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_151679,c_1476]) ).

tcf(c_154231,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_151679,c_3134]) ).

tcf(c_154232,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X1,sK1)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_151679,c_1461]) ).

tcf(c_154233,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | ( X0 = sK1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_72]) ).

tcf(c_154235,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_151679,c_60]) ).

tcf(c_154236,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_151679,c_68]) ).

tcf(c_154237,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_151679,c_67]) ).

tcf(c_154240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_151679,c_1437]) ).

tcf(c_154241,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(X0,X1,sK1)
      | lesseq(sK0,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_151679,c_62]) ).

tcf(c_154242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_151679,c_1762]) ).

tcf(c_154243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X1,sK1)
      | lesseq(sK0,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_151679,c_1733]) ).

tcf(c_154269,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151679,c_67882]) ).

tcf(c_154274,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151679,c_48696]) ).

tcf(c_154276,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK1)
    | lesseq(sK0,sK0)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151679,c_42195]) ).

tcf(c_154598,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_151660]) ).

tcf(c_154600,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X2)
      | lesseq(X1,sK1)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_151660]) ).

tcf(c_154601,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_39193,c_151660]) ).

tcf(c_154602,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_39192,c_151660]) ).

tcf(c_154609,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_34338,c_151660]) ).

tcf(c_154624,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_151660]) ).

tcf(c_154625,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_151660]) ).

tcf(c_154628,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_151660]) ).

tcf(c_154629,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_151660]) ).

tcf(c_154632,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_151660]) ).

tcf(c_154633,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_151660]) ).

tcf(c_154634,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK0,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_151660]) ).

tcf(c_154635,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_151660]) ).

tcf(c_154636,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_151660]) ).

tcf(c_154637,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_151660]) ).

tcf(c_154638,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK1)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_151660]) ).

tcf(c_154639,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK1)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_151660]) ).

tcf(c_154640,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK1,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_151660]) ).

tcf(c_154641,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_151660]) ).

tcf(c_154642,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_151660]) ).

tcf(c_154643,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_151660]) ).

tcf(c_154644,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK1)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_151660]) ).

tcf(c_154649,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2537,c_151660]) ).

tcf(c_154650,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1491,c_151660]) ).

tcf(c_154653,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK1) ),
    inference(superposition,[status(thm)],[c_2535,c_151660]) ).

tcf(c_154654,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_2538,c_151660]) ).

tcf(c_154656,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK1) ),
    inference(superposition,[status(thm)],[c_2411,c_151660]) ).

tcf(c_154657,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_151660]) ).

tcf(c_154660,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | model_max(X0,X0,sK1)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_151660]) ).

tcf(c_154662,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,sK5(X0,sK1,X1))
      | ~ model_ub(X0,sK1,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_151660]) ).

tcf(c_154663,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,sK5(sK1,X0,X1))
      | ~ model_ub(sK1,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_151660]) ).

tcf(c_154664,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(sK0,sK1,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46208,c_151660]) ).

tcf(c_154665,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(sK0,sK2,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38694,c_151660]) ).

tcf(c_154668,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(sK2,sK0,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37867,c_151660]) ).

tcf(c_154669,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(sK1,sK2,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33773,c_151660]) ).

tcf(c_154670,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(sK2,sK1,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33166,c_151660]) ).

tcf(c_154671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | model_max(X2,X2,sK1)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_151660]) ).

tcf(c_154675,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X1,sK1)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_151660]) ).

tcf(c_154676,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_151660]) ).

tcf(c_154680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_151660]) ).

tcf(c_154681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK1)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_151660]) ).

tcf(c_154683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X2,sK1)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_151660]) ).

tcf(c_154685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | model_max(X1,X2,sK1)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_151660]) ).

tcf(c_154686,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_46229,c_151660]) ).

tcf(c_154687,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_38717,c_151660]) ).

tcf(c_154689,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37890,c_151660]) ).

tcf(c_154690,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24524,c_151660]) ).

tcf(c_154691,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37376,c_151660]) ).

tcf(c_154692,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33796,c_151660]) ).

tcf(c_154693,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(sK1,X0) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33189,c_151660]) ).

tcf(c_154694,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK0)
    | ( max(sK0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_25406,c_151660]) ).

tcf(c_154706,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_151660]) ).

tcf(c_154707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X0)
      | lesseq(X2,sK2)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_24523,c_151660]) ).

tcf(c_154723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24532,c_151660]) ).

tcf(c_154724,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_24533,c_151660]) ).

tcf(c_154729,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK1)
    | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_151660]) ).

tcf(c_154734,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25015,c_151660]) ).

tcf(c_154735,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25009,c_151660]) ).

tcf(c_154736,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_151660]) ).

tcf(c_154737,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25014,c_151660]) ).

tcf(c_154739,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK0,sK1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_46230,c_151660]) ).

tcf(c_154741,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_38718,c_151660]) ).

tcf(c_154745,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37891,c_151660]) ).

tcf(c_154746,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | lesseq(sK1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_24526,c_151660]) ).

tcf(c_154749,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_37377,c_151660]) ).

tcf(c_154750,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33797,c_151660]) ).

tcf(c_154751,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(X0,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_33190,c_151660]) ).

tcf(c_154758,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK2,sK0)
      | lesseq(X0,sK1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_151660]) ).

tcf(c_154762,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(X0,sK1))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_151660]) ).

tcf(c_154763,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(sK1,X0))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_151660]) ).

tcf(c_154764,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(X0,sK1))
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_151660]) ).

tcf(c_154765,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(sK1,X0))
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_151660]) ).

tcf(c_154774,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25020,c_151660]) ).

tcf(c_154775,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25021,c_151660]) ).

tcf(c_154776,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25053,c_151660]) ).

tcf(c_154777,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25051,c_151660]) ).

tcf(c_154778,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25054,c_151660]) ).

tcf(c_154779,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK0)
      | lesseq(sK2,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25052,c_151660]) ).

tcf(c_154783,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK2,sK0)
    | ( sK1 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_154694,c_40598]) ).

tcf(c_155145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X2)
      | lesseq(X2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_151940]) ).

tcf(c_155146,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_151940]) ).

tcf(c_155147,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_151940]) ).

tcf(c_155148,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_39193,c_151940]) ).

tcf(c_155152,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_25680,c_151940]) ).

tcf(c_155157,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2)
      | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_34337,c_151940]) ).

tcf(c_155169,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1387,c_151940]) ).

tcf(c_155171,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46206,c_151940]) ).

tcf(c_155172,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_46205,c_151940]) ).

tcf(c_155173,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_151940]) ).

tcf(c_155174,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_151940]) ).

tcf(c_155175,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38692,c_151940]) ).

tcf(c_155176,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_38691,c_151940]) ).

tcf(c_155179,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37865,c_151940]) ).

tcf(c_155180,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_37864,c_151940]) ).

tcf(c_155181,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK0,sK0,sK0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_44769,c_151940]) ).

tcf(c_155182,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK0,sK1,sK0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_40745,c_151940]) ).

tcf(c_155183,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33771,c_151940]) ).

tcf(c_155184,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33770,c_151940]) ).

tcf(c_155185,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33164,c_151940]) ).

tcf(c_155186,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_33163,c_151940]) ).

tcf(c_155187,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK1,sK1,sK0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_35446,c_151940]) ).

tcf(c_155188,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK0,sK2,sK0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25639,c_151940]) ).

tcf(c_155189,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK2,sK0,sK0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25557,c_151940]) ).

tcf(c_155190,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK1,sK2,sK0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24837,c_151940]) ).

tcf(c_155191,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(sK2,sK1,sK0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_24695,c_151940]) ).

tcf(c_155192,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_151940]) ).

tcf(c_155194,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1373,c_151940]) ).

tcf(c_155196,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2537,c_151940]) ).

tcf(c_155197,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_151940]) ).

tcf(c_155198,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_24523,c_151940]) ).

tcf(c_155200,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X2,X0)
      | lesseq(X1,X2)
      | model_max(X0,X0,sK0) ),
    inference(superposition,[status(thm)],[c_2535,c_151940]) ).

tcf(c_155201,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | model_max(X1,X1,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_2538,c_151940]) ).

tcf(c_155203,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK0) ),
    inference(superposition,[status(thm)],[c_2411,c_151940]) ).

tcf(c_155204,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_1493,c_151940]) ).

tcf(c_155207,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | model_max(X0,X0,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_2530,c_151940]) ).

tcf(c_155208,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_1491,c_151940]) ).

tcf(c_155209,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,sK5(X0,sK0,X1))
      | ~ model_ub(X0,sK0,X1) ),
    inference(superposition,[status(thm)],[c_1652,c_151940]) ).

tcf(c_155210,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,sK5(sK0,X0,X1))
      | ~ model_ub(sK0,X0,X1) ),
    inference(superposition,[status(thm)],[c_1653,c_151940]) ).

tcf(c_155211,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK0,sK1,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_46208,c_151940]) ).

tcf(c_155212,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK0,sK2,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_38694,c_151940]) ).

tcf(c_155213,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25719,c_151940]) ).

tcf(c_155215,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK2,sK0,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_37867,c_151940]) ).

tcf(c_155216,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK1,sK2,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33773,c_151940]) ).

tcf(c_155217,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(sK2,sK1,sK0)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_33166,c_151940]) ).

tcf(c_155218,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | model_max(X2,X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2532,c_151940]) ).

tcf(c_155219,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1497,c_151940]) ).

tcf(c_155220,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(X0,X1,sK0)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1351,c_151940]) ).

tcf(c_155221,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,sK0)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_151940]) ).

tcf(c_155222,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_2531,c_151940]) ).

tcf(c_155223,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X1,X1,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3349,c_151940]) ).

tcf(c_155225,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_1493,c_151940]) ).

tcf(c_155227,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,X2)
      | model_max(X2,X2,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3536,c_151940]) ).

tcf(c_155228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | model_max(X1,X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_3525,c_151940]) ).

tcf(c_155229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_2535,c_151940]) ).

tcf(c_155230,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | model_max(X0,X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_2539,c_151940]) ).

tcf(c_155231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_1529,c_151940]) ).

tcf(c_155232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | model_max(X1,X2,sK0)
      | lesseq(X0,max(X1,X2)) ),
    inference(superposition,[status(thm)],[c_1497,c_151940]) ).

tcf(c_155233,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK0,sK1,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46229,c_151940]) ).

tcf(c_155234,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK0,sK2,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_38717,c_151940]) ).

tcf(c_155235,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | lesseq(sK0,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_151940]) ).

tcf(c_155236,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK2,sK0,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37890,c_151940]) ).

tcf(c_155237,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24524,c_151940]) ).

tcf(c_155238,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK0,sK0,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37376,c_151940]) ).

tcf(c_155239,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK1,sK2,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33796,c_151940]) ).

tcf(c_155240,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK2,sK1,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33189,c_151940]) ).

tcf(c_155241,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK1)
    | ( max(sK0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25406,c_151940]) ).

tcf(c_155244,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK1)
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24422,c_151940]) ).

tcf(c_155247,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_25393,c_151940]) ).

tcf(c_155248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1761,c_151940]) ).

tcf(c_155249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(sK2,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1732,c_151940]) ).

tcf(c_155255,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_34832,c_151940]) ).

tcf(c_155261,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK0)
    | lesseq(sK0,sK1)
    | model_max(sK1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_136687,c_151940]) ).

tcf(c_155263,plain,
    ( lesseq(sK2,sK0)
    | lesseq(sK1,sK0)
    | lesseq(sK0,sK1)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_41924,c_151940]) ).

tcf(c_155267,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK0,sK1,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_46230,c_151940]) ).

tcf(c_155269,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK0,sK2,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_38718,c_151940]) ).

tcf(c_155271,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | lesseq(sK0,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_25712,c_151940]) ).

tcf(c_155273,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK2,sK0,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37891,c_151940]) ).

tcf(c_155274,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_24526,c_151940]) ).

tcf(c_155277,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK0,sK0,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_37377,c_151940]) ).

tcf(c_155278,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK1,sK2,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33797,c_151940]) ).

tcf(c_155279,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | model_max(sK2,sK1,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_33190,c_151940]) ).

tcf(c_155286,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_24420,c_151940]) ).

tcf(c_155290,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_25712,c_151940]) ).

tcf(c_155292,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25686,c_151940]) ).

tcf(c_155293,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25684,c_151940]) ).

tcf(c_155294,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25403,c_151940]) ).

tcf(c_155295,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_25408,c_151940]) ).

tcf(c_155296,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X0,sK2)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_25699,c_151940]) ).

tcf(c_155297,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25695,c_151940]) ).

tcf(c_155298,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_25689,c_151940]) ).

tcf(c_155299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | model_max(X0,X0,sK2) ),
    inference(superposition,[status(thm)],[c_25694,c_151940]) ).

tcf(c_155300,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(X0,sK0))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10422,c_151940]) ).

tcf(c_155301,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(sK0,X0))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_10774,c_151940]) ).

tcf(c_155302,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(X0,sK0))
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12029,c_151940]) ).

tcf(c_155303,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(sK0,X0))
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_12517,c_151940]) ).

tcf(c_155304,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X2,sK2)
      | model_max(X0,X1,X2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25707,c_151940]) ).

tcf(c_155305,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | model_max(X0,X1,sK2)
      | lesseq(sK2,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_25708,c_151940]) ).

tcf(c_155314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X2)
      | lesseq(X1,sK2)
      | lesseq(X2,X0)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_25680,c_151940]) ).

tcf(c_155315,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,sK5(X0,sK2,X1))
      | ~ model_ub(X0,sK2,X1) ),
    inference(superposition,[status(thm)],[c_25700,c_151940]) ).

tcf(c_155316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,sK5(sK2,X0,X1))
      | ~ model_ub(sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_25701,c_151940]) ).

tcf(c_155317,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(X0,sK2))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25733,c_151940]) ).

tcf(c_155318,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(X0,sK2))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25731,c_151940]) ).

tcf(c_155319,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(sK2,X0))
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_25734,c_151940]) ).

tcf(c_155320,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,max(sK2,X0))
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_25732,c_151940]) ).

tcf(c_156445,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_152172]) ).

tcf(c_156446,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_65553]) ).

tcf(c_156447,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_54804]) ).

tcf(c_156448,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30311]) ).

tcf(c_156452,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_27640]) ).

tcf(c_156457,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_24518]) ).

tcf(c_156458,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_2536]) ).

tcf(c_156459,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | model_max(sK2,sK2,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_2529]) ).

tcf(c_156460,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_1530]) ).

tcf(c_156461,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X1,sK2) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_1476]) ).

tcf(c_156462,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_3134]) ).

tcf(c_156463,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_1461]) ).

tcf(c_156466,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ( max(X1,sK2) = X1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_152172,c_60]) ).

tcf(c_156467,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK2) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_68]) ).

tcf(c_156468,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_67]) ).

tcf(c_156469,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30009]) ).

tcf(c_156470,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_28844]) ).

tcf(c_156471,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_27321]) ).

tcf(c_156472,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK1) = sK1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_131533]) ).

tcf(c_156473,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK1,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_37115]) ).

tcf(c_156474,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_66446]) ).

tcf(c_156475,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK0,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30011]) ).

tcf(c_156476,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X1,sK0) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_28846]) ).

tcf(c_156477,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK2,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_25619]) ).

tcf(c_156478,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_25537]) ).

tcf(c_156479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_28627]) ).

tcf(c_156480,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_24817]) ).

tcf(c_156481,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_24675]) ).

tcf(c_156482,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK1,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_27323]) ).

tcf(c_156483,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X1,sK1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_27204]) ).

tcf(c_156484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_26986]) ).

tcf(c_156486,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_24529]) ).

tcf(c_156488,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_24427]) ).

tcf(c_156492,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_36420]) ).

tcf(c_156493,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_36417]) ).

tcf(c_156495,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_32597]) ).

tcf(c_156496,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_65553]) ).

tcf(c_156498,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30311]) ).

tcf(c_156499,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30230]) ).

tcf(c_156500,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_28649]) ).

tcf(c_156501,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_28613]) ).

tcf(c_156504,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_27007]) ).

tcf(c_156506,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_26068]) ).

tcf(c_156508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_2536]) ).

tcf(c_156509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_2529]) ).

tcf(c_156510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_1530]) ).

tcf(c_156511,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(X1,sK2) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_1476]) ).

tcf(c_156512,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_3134]) ).

tcf(c_156513,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_152172,c_1461]) ).

tcf(c_156514,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_152172,c_72]) ).

tcf(c_156516,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,X0)
      | ( max(X1,sK2) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_152172,c_60]) ).

tcf(c_156517,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( max(sK0,X0) = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_68]) ).

tcf(c_156518,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( max(X0,sK2) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_67]) ).

tcf(c_156521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_152172,c_1437]) ).

tcf(c_156522,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | model_max(X0,X1,sK0)
      | ( max(max(X0,X1),sK2) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_152172,c_62]) ).

tcf(c_156523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK5(X0,X1,X2),sK2) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_152172,c_1762]) ).

tcf(c_156524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | ( max(sK5(X0,X1,X2),sK2) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_152172,c_1733]) ).

tcf(c_156528,plain,
    ( lesseq(sK2,sK1)
    | ( max(sK2,sK2) = sK2 )
    | ( max(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_131533]) ).

tcf(c_156530,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK0,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152172,c_66446]) ).

tcf(c_156531,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30011]) ).

tcf(c_156532,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_28846]) ).

tcf(c_156533,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK2,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152172,c_25619]) ).

tcf(c_156534,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK0,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152172,c_25537]) ).

tcf(c_156536,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152172,c_24817]) ).

tcf(c_156537,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152172,c_24675]) ).

tcf(c_156538,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_27323]) ).

tcf(c_156539,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_27204]) ).

tcf(c_156543,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152172,c_25409]) ).

tcf(c_156546,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_152172,c_36424]) ).

tcf(c_156550,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 )
    | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_152172,c_34831]) ).

tcf(c_156552,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30309]) ).

tcf(c_156553,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_30228]) ).

tcf(c_156554,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_28611]) ).

tcf(c_156555,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152172,c_26066]) ).

tcf(c_156566,plain,
    ( lesseq(sK2,sK1)
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_156528,c_40598]) ).

tcf(c_156587,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( sK1 = sK2 )
    | ( sK0 = sK2 ) ),
    inference(light_normalisation,[status(thm)],[c_156550,c_24429]) ).

tcf(c_156892,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_40604,c_152173]) ).

tcf(c_156893,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_65553]) ).

tcf(c_156894,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_54804]) ).

tcf(c_156895,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_30311]) ).

tcf(c_156899,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_27640]) ).

tcf(c_156904,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_24518]) ).

tcf(c_156905,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_2536]) ).

tcf(c_156906,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | model_max(sK2,sK2,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_2529]) ).

tcf(c_156907,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_1530]) ).

tcf(c_156908,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_1476]) ).

tcf(c_156909,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_3134]) ).

tcf(c_156910,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X1) = X1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_1461]) ).

tcf(c_156913,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(X1,sK0)
      | ( max(sK2,X1) = X1 )
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_152173,c_60]) ).

tcf(c_156914,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK2) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_68]) ).

tcf(c_156915,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_67]) ).

tcf(c_156916,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK0,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_30009]) ).

tcf(c_156917,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK0) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_28844]) ).

tcf(c_156918,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( sK1 = sK2 )
      | ( max(sK1,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_27321]) ).

tcf(c_156919,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK1,sK1) = sK1 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_131533]) ).

tcf(c_156920,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK1,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_37115]) ).

tcf(c_156921,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_66446]) ).

tcf(c_156922,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X1) = X1 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_30011]) ).

tcf(c_156923,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_28846]) ).

tcf(c_156924,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK0,sK2,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_25619]) ).

tcf(c_156925,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_25537]) ).

tcf(c_156926,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_28627]) ).

tcf(c_156927,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK1,sK2,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_24817]) ).

tcf(c_156928,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | model_max(sK2,sK1,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_24675]) ).

tcf(c_156929,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X1) = X1 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_27323]) ).

tcf(c_156930,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_27204]) ).

tcf(c_156931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X2,sK1)
      | lesseq(X0,sK0)
      | lesseq(X1,X2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_26986]) ).

tcf(c_156933,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_24529]) ).

tcf(c_156935,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_24427]) ).

tcf(c_156939,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_36420]) ).

tcf(c_156940,plain,
    ! [X0: $i] :
      ( lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_36417]) ).

tcf(c_156942,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(X0,sK0)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_32597]) ).

tcf(c_156943,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | model_max(X0,X0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_65553]) ).

tcf(c_156945,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152173,c_30311]) ).

tcf(c_156946,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | ( max(sK2,X0) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_30230]) ).

tcf(c_156947,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_28649]) ).

tcf(c_156948,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_28613]) ).

tcf(c_156951,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_27007]) ).

tcf(c_156953,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,sK0)
      | lesseq(X0,sK2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_26068]) ).

tcf(c_156955,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X0,X1)
      | model_max(X1,X1,X2)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_2536]) ).

tcf(c_156956,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_2529]) ).

tcf(c_156957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_1530]) ).

tcf(c_156958,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,X1) = X1 )
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_1476]) ).

tcf(c_156959,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_3134]) ).

tcf(c_156960,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_152173,c_1461]) ).

tcf(c_156961,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_152173,c_72]) ).

tcf(c_156963,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,X0)
      | ( max(sK2,X1) = X1 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_152173,c_60]) ).

tcf(c_156964,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( max(sK2,X0) = X0 )
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_68]) ).

tcf(c_156965,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_67]) ).

tcf(c_156968,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_152173,c_1437]) ).

tcf(c_156969,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | model_max(X0,X1,sK0)
      | ( max(sK2,max(X0,X1)) = max(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_152173,c_62]) ).

tcf(c_156970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK2,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_152173,c_1762]) ).

tcf(c_156971,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | ( max(sK2,sK5(X0,X1,X2)) = sK5(X0,X1,X2) )
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_152173,c_1733]) ).

tcf(c_156997,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 )
    | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_152173,c_34831]) ).

tcf(c_156999,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152173,c_30309]) ).

tcf(c_157000,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_30228]) ).

tcf(c_157001,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK2)
      | lesseq(X0,X1)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_28611]) ).

tcf(c_157002,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK2)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152173,c_26066]) ).

tcf(c_157281,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | minsol_model_ub(X0,X1,sK2)
      | lesseq(sK4(X0,X1,sK2),sK0)
      | ~ model_ub(X0,X1,sK2) ),
    inference(superposition,[status(thm)],[c_151939,c_55]) ).

tcf(c_157295,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_2529]) ).

tcf(c_157297,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_1476]) ).

tcf(c_157299,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_1461]) ).

tcf(c_157300,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ~ lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151939,c_72]) ).

tcf(c_157302,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X0,sK0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151939,c_60]) ).

tcf(c_157305,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_30009]) ).

tcf(c_157306,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_28844]) ).

tcf(c_157307,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK2 )
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_27321]) ).

tcf(c_157309,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_37115]) ).

tcf(c_157310,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_66446]) ).

tcf(c_157311,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_30011]) ).

tcf(c_157312,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_28846]) ).

tcf(c_157313,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_25619]) ).

tcf(c_157314,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_25537]) ).

tcf(c_157315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK0,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151939,c_28627]) ).

tcf(c_157316,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_24817]) ).

tcf(c_157317,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_24675]) ).

tcf(c_157318,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_27323]) ).

tcf(c_157319,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_151939,c_27204]) ).

tcf(c_157320,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_151939,c_26986]) ).

tcf(c_157325,plain,
    ( lesseq(sK0,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151939,c_25407]) ).

tcf(c_157326,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_151939,c_36424]) ).

tcf(c_157327,plain,
    ( lesseq(sK1,sK0)
    | lesseq(sK0,sK1)
    | ( sK1 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151939,c_24425]) ).

tcf(c_157333,plain,
    ( lesseq(sK0,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 )
    | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151939,c_30309]) ).

tcf(c_157336,plain,
    ( lesseq(sK2,sK2)
    | lesseq(sK0,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_151939,c_26066]) ).

tcf(c_157341,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151939,c_28649]) ).

tcf(c_157345,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_151939,c_27007]) ).

tcf(c_157355,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_72]) ).

tcf(c_157357,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_151939,c_60]) ).

tcf(c_157393,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151939,c_30309]) ).

tcf(c_157394,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK2,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_151939,c_30228]) ).

tcf(c_157728,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_40604,c_152193]) ).

tcf(c_157729,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_152193,c_65553]) ).

tcf(c_157730,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | model_max(sK2,sK2,sK2) ),
    inference(superposition,[status(thm)],[c_152193,c_54804]) ).

tcf(c_157731,plain,
    ! [X0: $i] :
      ( lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_30311]) ).

tcf(c_157735,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_27640]) ).

tcf(c_157739,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK0,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_26068]) ).

tcf(c_157740,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_24518]) ).

tcf(c_157741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X2)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_2536]) ).

tcf(c_157742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_2529]) ).

tcf(c_157743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X2)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_1530]) ).

tcf(c_157744,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK2) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_1476]) ).

tcf(c_157745,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_3134]) ).

tcf(c_157746,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK2,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_1461]) ).

tcf(c_157748,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_1402]) ).

tcf(c_157749,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X0)
      | lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | ~ lesseq(sK1,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_60]) ).

tcf(c_157750,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK2) = sK1 ) ),
    inference(superposition,[status(thm)],[c_152193,c_68]) ).

tcf(c_157751,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_152193,c_67]) ).

tcf(c_157755,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK1,sK1) = sK1 ) ),
    inference(superposition,[status(thm)],[c_152193,c_131533]) ).

tcf(c_157756,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK1,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_37115]) ).

tcf(c_157757,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK0,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_66446]) ).

tcf(c_157758,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK0,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_30011]) ).

tcf(c_157759,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_28846]) ).

tcf(c_157760,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK0,sK2,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_25619]) ).

tcf(c_157761,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK0,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_25537]) ).

tcf(c_157762,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK0,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_28627]) ).

tcf(c_157763,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK1,sK2,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_24817]) ).

tcf(c_157764,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | model_max(sK2,sK1,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_24675]) ).

tcf(c_157765,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_27323]) ).

tcf(c_157766,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK1)
      | ( max(X0,sK1) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_27204]) ).

tcf(c_157767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK1,X2)
      | lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,sK1)
      | lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_26986]) ).

tcf(c_157768,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_26081]) ).

tcf(c_157769,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK1,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK1)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_24529]) ).

tcf(c_157771,plain,
    ! [X0: $i] :
      ( lesseq(sK1,sK1)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_24427]) ).

tcf(c_157775,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,X1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_36420]) ).

tcf(c_157776,plain,
    ! [X0: $i] :
      ( lesseq(sK1,X0)
      | lesseq(X0,sK0)
      | ( max(sK2,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_36417]) ).

tcf(c_157778,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK2)
      | lesseq(sK1,X0)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_32597]) ).

tcf(c_157779,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | minsol_model_ub(X0,X1,sK1)
      | lesseq(sK4(X0,X1,sK1),sK0)
      | ~ model_ub(X0,X1,sK1) ),
    inference(superposition,[status(thm)],[c_152193,c_55]) ).

tcf(c_157785,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X1)
      | lesseq(sK0,X0)
      | lesseq(X1,sK2)
      | lesseq(X0,sK0) ),
    inference(superposition,[status(thm)],[c_152193,c_28613]) ).

tcf(c_157793,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_2529]) ).

tcf(c_157796,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(X0,X1)
      | model_max(sK1,sK1,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_3134]) ).

tcf(c_157798,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( X0 = sK1 )
      | ~ lesseq(X0,sK1) ),
    inference(superposition,[status(thm)],[c_152193,c_72]) ).

tcf(c_157800,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X1)
      | lesseq(X0,sK0)
      | ~ lesseq(X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_60]) ).

tcf(c_157802,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | ( max(sK1,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_67]) ).

tcf(c_157806,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK0,X0)
      | lesseq(X0,sK0)
      | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_34831]) ).

tcf(c_157821,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | lesseq(sK0,X1)
      | lesseq(X1,sK0)
      | lesseq(X0,sK2) ),
    inference(superposition,[status(thm)],[c_152193,c_28649]) ).

tcf(c_157829,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X2)
      | lesseq(X1,sK0)
      | lesseq(X2,X0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_2536]) ).

tcf(c_157830,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | lesseq(X2,sK0)
      | lesseq(X1,X2)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_2529]) ).

tcf(c_157832,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X1)
      | lesseq(X0,sK0)
      | ( max(X0,X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_1476]) ).

tcf(c_157833,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | model_max(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_152193,c_3134]) ).

tcf(c_157834,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | lesseq(X1,sK0)
      | ( max(X0,X1) = X1 ) ),
    inference(superposition,[status(thm)],[c_152193,c_1461]) ).

tcf(c_157835,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | ( X0 = sK0 )
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_72]) ).

tcf(c_157837,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X1)
      | lesseq(X1,X0)
      | ~ lesseq(sK0,X0) ),
    inference(superposition,[status(thm)],[c_152193,c_60]) ).

tcf(c_157838,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | ( max(sK0,X0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_68]) ).

tcf(c_157839,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | ( max(X0,sK0) = sK0 ) ),
    inference(superposition,[status(thm)],[c_152193,c_67]) ).

tcf(c_157842,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X2,sK0)
      | model_max(X0,X1,X2)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_152193,c_1437]) ).

tcf(c_157843,plain,
    ! [X0: $i,X1: $i] :
      ( lesseq(sK2,sK1)
      | model_max(X0,X1,sK0)
      | lesseq(sK1,max(X0,X1)) ),
    inference(superposition,[status(thm)],[c_152193,c_62]) ).

tcf(c_157844,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X0,sK0)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_152193,c_1762]) ).

tcf(c_157845,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(X1,sK0)
      | lesseq(sK1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_152193,c_1733]) ).

tcf(c_157871,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK1,sK1)
    | lesseq(sK0,sK0)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_34831]) ).

tcf(c_157872,plain,
    ( lesseq(sK2,sK1)
    | lesseq(sK1,sK1)
    | ( sK0 = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_42332]) ).

tcf(c_157873,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | ( X0 = sK0 )
      | ( max(X0,sK2) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_30309]) ).

tcf(c_157874,plain,
    ! [X0: $i] :
      ( lesseq(sK2,sK1)
      | lesseq(sK1,X0)
      | ( X0 = sK0 )
      | ( max(sK2,X0) = sK2 ) ),
    inference(superposition,[status(thm)],[c_152193,c_30228]) ).

tcf(c_158281,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_157874,c_157873,c_157872,c_157871,c_157845,c_157844,c_157843,c_157842,c_157839,c_157838,c_157837,c_157835,c_157834,c_157833,c_157832,c_157829,c_157821,c_157806,c_157802,c_157800,c_157798,c_157796,c_157793,c_157830,c_157785,c_157779,c_157778,c_157776,c_157775,c_157771,c_157769,c_157768,c_157767,c_157766,c_157765,c_157764,c_157763,c_157762,c_157761,c_157760,c_157759,c_157758,c_157757,c_157756,c_157755,c_157751,c_157750,c_157749,c_157748,c_157746,c_157745,c_157744,c_157743,c_157742,c_157741,c_157740,c_157735,c_157730,c_157728,c_157394,c_157393,c_157357,c_157355,c_157345,c_157341,c_157336,c_157333,c_157327,c_157326,c_157325,c_157320,c_157319,c_157318,c_157317,c_157316,c_157315,c_157314,c_157313,c_157312,c_157311,c_157310,c_157309,c_157307,c_157306,c_157305,c_157302,c_157300,c_157299,c_157297,c_157295,c_157731,c_157729,c_157281,c_157002,c_157001,c_157000,c_156999,c_156997,c_156971,c_156970,c_156969,c_156968,c_156965,c_156964,c_156963,c_156961,c_156960,c_156959,c_156958,c_156957,c_156956,c_156955,c_156953,c_156951,c_156948,c_156947,c_156946,c_156945,c_156943,c_156942,c_156940,c_156939,c_156935,c_156933,c_156931,c_156930,c_156929,c_156928,c_156927,c_156926,c_156925,c_156924,c_156923,c_156922,c_156921,c_156920,c_156919,c_156918,c_156917,c_156916,c_156915,c_156914,c_156913,c_156910,c_156909,c_156908,c_156907,c_156906,c_156905,c_156904,c_156899,c_156895,c_156894,c_156893,c_156892,c_156587,c_156555,c_156554,c_156553,c_156552,c_156550,c_156546,c_156566,c_156543,c_156539,c_156538,c_156537,c_156536,c_156534,c_156533,c_156532,c_156531,c_156530,c_156528,c_156524,c_156523,c_156522,c_156521,c_156518,c_156517,c_156516,c_156514,c_156513,c_156512,c_156511,c_156510,c_156509,c_156508,c_156506,c_156504,c_156501,c_156500,c_156499,c_156498,c_156496,c_156495,c_156493,c_156492,c_156488,c_156486,c_156484,c_156483,c_156482,c_156481,c_156480,c_156479,c_156478,c_156477,c_156476,c_156475,c_156474,c_156473,c_156472,c_156471,c_156470,c_156469,c_156468,c_156467,c_156466,c_156463,c_156462,c_156461,c_156460,c_156459,c_156458,c_156457,c_156452,c_156448,c_156447,c_156446,c_156445,c_155320,c_155319,c_155318,c_155317,c_155316,c_155315,c_155314,c_155305,c_155304,c_155303,c_155302,c_155301,c_155300,c_155299,c_155298,c_155297,c_155296,c_155295,c_155294,c_155293,c_155292,c_155290,c_155286,c_155279,c_155278,c_155277,c_155274,c_155273,c_155271,c_155269,c_155267,c_155263,c_155261,c_155255,c_155249,c_155248,c_155247,c_155244,c_155241,c_155240,c_155239,c_155238,c_155237,c_155236,c_155235,c_155234,c_155233,c_155232,c_155230,c_155229,c_155228,c_155225,c_155223,c_155222,c_155221,c_155220,c_155219,c_155218,c_155217,c_155216,c_155215,c_155213,c_155212,c_155211,c_155210,c_155209,c_155208,c_155207,c_155204,c_155203,c_155201,c_155200,c_155227,c_155198,c_155197,c_155196,c_155194,c_155192,c_155191,c_155190,c_155189,c_155188,c_155187,c_155186,c_155185,c_155184,c_155183,c_155182,c_155181,c_155180,c_155179,c_155176,c_155175,c_155174,c_155173,c_155172,c_155171,c_155169,c_155231,c_155157,c_155152,c_155148,c_155147,c_155146,c_155145,c_154779,c_154778,c_154777,c_154776,c_154775,c_154774,c_154765,c_154764,c_154763,c_154762,c_154758,c_154751,c_154750,c_154749,c_154746,c_154745,c_154741,c_154739,c_154737,c_154736,c_154735,c_154734,c_154729,c_154724,c_154723,c_154707,c_154706,c_154694,c_154693,c_154692,c_154691,c_154690,c_154689,c_154687,c_154686,c_154685,c_154683,c_154681,c_154676,c_154675,c_154671,c_154670,c_154669,c_154668,c_154665,c_154664,c_154663,c_154662,c_154660,c_154657,c_154656,c_154654,c_154653,c_154680,c_154650,c_154649,c_154644,c_154643,c_154642,c_154641,c_154640,c_154639,c_154638,c_154637,c_154636,c_154635,c_154634,c_154633,c_154632,c_154629,c_154628,c_154625,c_154624,c_154609,c_154602,c_154601,c_154600,c_154598,c_154274,c_154269,c_154243,c_154242,c_154241,c_154240,c_154237,c_154236,c_154235,c_154233,c_154232,c_154231,c_154230,c_154227,c_154223,c_154276,c_154199,c_154197,c_154192,c_154228,c_154188,c_154178,c_154173,c_154170,c_154169,c_154168,c_154167,c_154166,c_154165,c_154164,c_154163,c_154162,c_154161,c_154160,c_154159,c_154158,c_154157,c_154156,c_154151,c_154150,c_154149,c_154148,c_154146,c_154145,c_154144,c_154143,c_154142,c_154141,c_154139,c_154134,c_154131,c_154129,c_153691,c_153690,c_153689,c_154783,c_153666,c_153662,c_153661,c_153660,c_153659,c_153658,c_153656,c_153655,c_153654,c_153652,c_153651,c_153649,c_153646,c_153643,c_153642,c_153641,c_153640,c_153638,c_153635,c_153695,c_153623,c_153617,c_153616,c_153615,c_153614,c_153613,c_153612,c_153611,c_153610,c_153609,c_153608,c_153607,c_153606,c_153604,c_153603,c_153602,c_153599,c_153597,c_153596,c_153594,c_153648,c_153592,c_153647,c_153588,c_153584,c_153578,c_153576,c_153573,c_153570,c_153569,c_153568,c_153567,c_153566,c_153565,c_153564,c_153563,c_153562,c_153561,c_153560,c_153559,c_153558,c_153557,c_153556,c_153551,c_153550,c_153549,c_153548,c_153546,c_153545,c_153544,c_153543,c_153542,c_153541,c_153539,c_153538,c_153534,c_153531,c_153529,c_153315,c_153313,c_153303,c_153299,c_153284,c_153278,c_153277,c_153276,c_153275,c_153274,c_153273,c_153272,c_153271,c_153270,c_153269,c_153268,c_153267,c_153265,c_153264,c_153263,c_153260,c_153258,c_153257,c_153255,c_153253,c_154135,c_154130,c_153239,c_152264,c_152263,c_152262,c_152261,c_152256,c_152282,c_152248,c_152247,c_152246,c_152244,c_152243,c_152242,c_152241,c_152240,c_152238,c_152234,c_152233,c_152232,c_152231,c_152229,c_152228,c_152227,c_152226,c_152224,c_152223,c_152222,c_152221,c_152218,c_152216,c_152214,c_152211,c_152210,c_152209,c_152208,c_152206,c_152205,c_152202,c_152195,c_152259,c_152193,c_152192,c_152191,c_152190,c_152189,c_152188,c_152187,c_152186,c_152185,c_152184,c_152183,c_152182,c_152181,c_152180,c_152179,c_152178,c_152177,c_152176,c_152175,c_152174,c_152173,c_152172,c_152171,c_152225,c_152169,c_152168,c_152167,c_152166,c_152220,c_152164,c_152219,c_152160,c_152156,c_152150,c_152149,c_152147,c_152146,c_152142,c_152140,c_152139,c_152138,c_152137,c_152136,c_152135,c_152134,c_152133,c_152132,c_152131,c_152130,c_152129,c_152128,c_152127,c_152126,c_152122,c_152121,c_152120,c_152119,c_152117,c_152116,c_152115,c_152114,c_152113,c_152112,c_152111,c_152106,c_152101,c_152098,c_151964,c_151961,c_151960,c_151959,c_151958,c_151957,c_151956,c_151955,c_151954,c_151953,c_151952,c_151951,c_151950,c_151949,c_151948,c_151947,c_151942,c_151941,c_151940,c_151939,c_151937,c_151936,c_151935,c_151934,c_151933,c_151932,c_151930,c_157739,c_151925,c_151922,c_151920,c_151689,c_151687,c_151686,c_151682,c_151681,c_151680,c_151679,c_151678,c_151677,c_151676,c_151675,c_151674,c_151673,c_151672,c_151671,c_151670,c_151669,c_151668,c_151667,c_151666,c_151662,c_151661,c_151660,c_151659,c_151657,c_151656,c_151655,c_151654,c_151653,c_151652,c_151651,c_151649,c_151646,c_151641,c_151639,c_150540,c_150539,c_150534,c_150533,c_150532,c_150531,c_150530,c_150529,c_150528,c_150512,c_150510,c_150509,c_150508,c_150505,c_150504,c_150503,c_150502,c_150501,c_150484,c_150483,c_150482,c_150481,c_150480,c_150479,c_150478,c_150477,c_150474,c_150473,c_150472,c_150471,c_150470,c_150507,c_150467,c_150466,c_150465,c_150506,c_150423,c_150511,c_150416,c_150415,c_150100,c_150099,c_150094,c_150093,c_150092,c_150091,c_150090,c_150089,c_150088,c_150072,c_150070,c_150069,c_150068,c_150065,c_150064,c_150063,c_150062,c_150061,c_150058,c_150057,c_150056,c_150060,c_150050,c_150044,c_150043,c_150042,c_150041,c_150040,c_150039,c_150038,c_150037,c_150034,c_150033,c_150032,c_150031,c_150030,c_150067,c_150027,c_150026,c_150025,c_150066,c_149983,c_150071,c_149976,c_149975,c_149418,c_149417,c_149416,c_149415,c_149414,c_149413,c_149404,c_149403,c_149402,c_149401,c_149397,c_149390,c_149389,c_149388,c_149385,c_149384,c_149382,c_149380,c_149378,c_149376,c_149375,c_149374,c_149373,c_149364,c_149363,c_149354,c_149353,c_149352,c_149350,c_149349,c_149344,c_149343,c_151931,c_149339,c_149336,c_149335,c_149334,c_149333,c_149332,c_149331,c_149330,c_149329,c_149328,c_149326,c_149325,c_149324,c_149321,c_149319,c_149318,c_153300,c_149316,c_149315,c_149314,c_149313,c_149312,c_149311,c_153318,c_149308,c_149307,c_149306,c_149305,c_149304,c_149303,c_149300,c_149299,c_149297,c_149296,c_149323,c_149294,c_149293,c_149292,c_149290,c_149289,c_153295,c_149287,c_149286,c_149285,c_149284,c_149283,c_149282,c_149281,c_149280,c_149279,c_149278,c_149277,c_149276,c_149275,c_149272,c_149271,c_153298,c_153297,c_149268,c_149267,c_149265,c_149327,c_149252,c_149248,c_149243,c_149242,c_149241,c_149151,c_149149,c_149148,c_149144,c_149142,c_149141,c_149140,c_149139,c_149138,c_149137,c_149136,c_149135,c_149134,c_149133,c_149132,c_149131,c_149130,c_149129,c_149128,c_149124,c_149123,c_149122,c_149121,c_149119,c_149118,c_149117,c_149116,c_149115,c_149114,c_149113,c_149108,c_151929,c_154140,c_151926,c_149103,c_151921,c_149101,c_149096,c_149092,c_149091,c_149087,c_149077,c_149076,c_149075,c_149074,c_149073,c_149072,c_149071,c_149070,c_149068,c_149066,c_149063,c_149056,c_148845,c_148844,c_148843,c_148842,c_148841,c_148840,c_148835,c_148834,c_148833,c_148832,c_148831,c_148830,c_148829,c_148828,c_148827,c_148825,c_148824,c_148539,c_148538,c_148537,c_148536,c_148535,c_148534,c_148529,c_148528,c_148527,c_148526,c_148525,c_148524,c_148523,c_148522,c_148521,c_148519,c_148518,c_148511,c_148487,c_148486,c_148485,c_148484,c_148483,c_148476,c_148059,c_148053,c_148048,c_148047,c_148046,c_148045,c_148044,c_148043,c_148042,c_148041,c_148040,c_148039,c_148038,c_148037,c_148036,c_148035,c_148034,c_148033,c_148032,c_148031,c_148030,c_148029,c_148028,c_148027,c_148026,c_148025,c_148024,c_148023,c_148022,c_148021,c_148060,c_147709,c_147708,c_147707,c_147706,c_147705,c_147704,c_147685,c_147684,c_147683,c_147710,c_147678,c_147660,c_147658,c_147657,c_147656,c_147653,c_147652,c_147651,c_147650,c_147649,c_147648,c_147647,c_147646,c_147643,c_147642,c_147021,c_147020,c_147019,c_147018,c_147017,c_147016,c_146997,c_146996,c_146995,c_147022,c_146990,c_146972,c_146965,c_146964,c_146963,c_146962,c_146961,c_146960,c_146959,c_146958,c_146955,c_146954,c_146949,c_146900,c_146899,c_146898,c_146897,c_146896,c_146889,c_146887,c_146885,c_146883,c_146881,c_146880,c_146878,c_146877,c_146876,c_146875,c_146874,c_146873,c_146868,c_146604,c_146593,c_146592,c_146591,c_146590,c_146589,c_146588,c_146587,c_146586,c_146585,c_146584,c_146583,c_146582,c_146581,c_146580,c_146579,c_146578,c_146577,c_146576,c_146575,c_146574,c_146573,c_146572,c_146571,c_146570,c_146569,c_146568,c_146567,c_146566,c_146605,c_146501,c_146499,c_146416,c_146414,c_146298,c_146296,c_146253,c_146240,c_145668,c_145667,c_145665,c_145664,c_145658,c_145657,c_145650,c_145649,c_145648,c_145647,c_145646,c_145645,c_145636,c_145352,c_145351,c_145350,c_145345,c_145308,c_145307,c_145306,c_145303,c_145302,c_145287,c_145285,c_145284,c_145283,c_145280,c_145279,c_145278,c_145277,c_145275,c_145274,c_145273,c_145261,c_145260,c_145259,c_145258,c_145257,c_145256,c_145255,c_145254,c_145253,c_145252,c_145251,c_145250,c_145247,c_145246,c_145243,c_145242,c_145240,c_145239,c_145282,c_145236,c_145235,c_145234,c_145281,c_145286,c_145185,c_145184,c_145084,c_145083,c_145080,c_145078,c_145077,c_145076,c_145075,c_145074,c_145073,c_145072,c_145068,c_145064,c_145059,c_145019,c_145018,c_145017,c_145016,c_145015,c_145008,c_145006,c_145004,c_145002,c_145000,c_144999,c_144997,c_144996,c_144995,c_144994,c_144993,c_144992,c_144987,c_144308,c_144306,c_144304,c_144301,c_144300,c_144281,c_144280,c_144279,c_144278,c_144265,c_144264,c_144263,c_144262,c_144261,c_144260,c_144259,c_144258,c_144257,c_144256,c_144252,c_144249,c_144248,c_144251,c_144250,c_144236,c_144208,c_144206,c_144202,c_144189,c_144173,c_144125,c_144123,c_144041,c_144039,c_143971,c_143960,c_143959,c_143957,c_143956,c_143950,c_143949,c_143944,c_143943,c_143942,c_143940,c_143939,c_143937,c_143936,c_143930,c_143929,c_143852,c_143847,c_143846,c_143845,c_143844,c_143843,c_143807,c_143806,c_143805,c_143804,c_143803,c_143802,c_143793,c_143787,c_143611,c_143610,c_143608,c_143607,c_143601,c_143600,c_143423,c_143422,c_143421,c_143420,c_143419,c_143418,c_143417,c_143416,c_143415,c_143414,c_143413,c_143412,c_143411,c_143399,c_143398,c_143397,c_143424,c_143392,c_143378,c_143377,c_143376,c_143375,c_143373,c_143372,c_143371,c_143370,c_143369,c_143367,c_143366,c_143365,c_143364,c_143363,c_143362,c_143361,c_143360,c_143323,c_143322,c_143320,c_143319,c_143313,c_143312,c_143305,c_143032,c_143031,c_143030,c_143029,c_143028,c_143027,c_143026,c_143025,c_143024,c_143023,c_143022,c_143021,c_143020,c_143008,c_143007,c_143006,c_143033,c_143001,c_142999,c_142994,c_142987,c_142986,c_142985,c_142984,c_142982,c_142981,c_142980,c_142979,c_142978,c_142976,c_142975,c_142974,c_142973,c_142972,c_142971,c_142970,c_142969,c_142659,c_142658,c_142656,c_142655,c_142649,c_142648,c_142641,c_142640,c_142639,c_142638,c_142637,c_142636,c_142627,c_142506,c_142505,c_142504,c_142503,c_142502,c_142501,c_142480,c_142478,c_142476,c_142473,c_142472,c_142469,c_142465,c_142459,c_142391,c_142390,c_142389,c_142388,c_142387,c_142386,c_142365,c_142363,c_142361,c_142358,c_142357,c_142354,c_142350,c_142344,c_141763,c_141760,c_141759,c_141758,c_141740,c_141739,c_141714,c_141713,c_141712,c_141711,c_141708,c_141707,c_141704,c_141703,c_141702,c_141701,c_141700,c_141699,c_141698,c_141697,c_141696,c_141695,c_141694,c_141691,c_141690,c_141092,c_141090,c_141089,c_141088,c_141087,c_141086,c_141085,c_141084,c_141083,c_141082,c_141081,c_141080,c_141079,c_141078,c_141077,c_141076,c_141075,c_141074,c_141073,c_141070,c_141069,c_141068,c_141067,c_141066,c_141065,c_141064,c_141063,c_141062,c_141049,c_141048,c_141047,c_141046,c_141045,c_141044,c_141043,c_141042,c_141039,c_141038,c_141037,c_141036,c_141035,c_141033,c_141032,c_141031,c_141030,c_141029,c_141028,c_141027,c_141026,c_141025,c_141024,c_141023,c_141022,c_141021,c_141020,c_141017,c_141016,c_141013,c_141012,c_141015,c_141014,c_141002,c_140741,c_140732,c_140731,c_140730,c_140729,c_140728,c_140727,c_140726,c_140722,c_140719,c_140718,c_140717,c_140716,c_140715,c_140714,c_140713,c_140501,c_140497,c_140475,c_140474,c_140472,c_140471,c_140466,c_140465,c_140464,c_140463,c_140456,c_140455,c_140454,c_140453,c_140452,c_140451,c_140449,c_140448,c_140443,c_140442,c_140441,c_140440,c_140420,c_140419,c_140418,c_140416,c_140415,c_140408,c_140390,c_140389,c_140388,c_140387,c_140386,c_140379,c_140371,c_140283,c_140282,c_140281,c_140279,c_140278,c_140271,c_140269,c_140253,c_140252,c_140251,c_140250,c_140249,c_140242,c_140234,c_140159,c_140156,c_140155,c_140154,c_140135,c_140133,c_140131,c_140129,c_140126,c_140125,c_140122,c_140112,c_139885,c_139882,c_139880,c_139876,c_139875,c_139874,c_139873,c_139872,c_139871,c_139870,c_139869,c_139868,c_139865,c_139864,c_139863,c_139858,c_139856,c_139855,c_139854,c_139852,c_139851,c_139848,c_139847,c_139844,c_139843,c_139842,c_139743,c_139740,c_139738,c_139734,c_139733,c_139732,c_139731,c_139730,c_139729,c_139728,c_139727,c_139726,c_139723,c_139722,c_139721,c_139716,c_139714,c_139713,c_139712,c_139710,c_139709,c_139706,c_139705,c_139702,c_139701,c_139700,c_139608,c_139607,c_139606,c_139605,c_139604,c_139603,c_139602,c_139599,c_139595,c_139589,c_139295,c_139294,c_139293,c_139292,c_139291,c_139290,c_139279,c_139277,c_139276,c_139273,c_139271,c_139268,c_139267,c_139266,c_139265,c_139264,c_139263,c_139262,c_139261,c_139260,c_139259,c_139258,c_139257,c_139256,c_139255,c_139254,c_139253,c_139252,c_139251,c_139250,c_139248,c_139246,c_139244,c_139243,c_139242,c_139239,c_139236,c_139231,c_139229,c_139193,c_139192,c_139191,c_139189,c_139188,c_139181,c_139179,c_138864,c_138863,c_138862,c_138861,c_138860,c_138859,c_138848,c_138846,c_138845,c_138842,c_138839,c_138838,c_138837,c_138836,c_138835,c_138834,c_138833,c_138832,c_138831,c_138830,c_138829,c_138828,c_138827,c_138826,c_138825,c_138824,c_138823,c_138822,c_138819,c_138818,c_138817,c_138816,c_138815,c_138814,c_138813,c_138812,c_138811,c_138808,c_138805,c_138804,c_138801,c_138800,c_138799,c_138798,c_138376,c_138375,c_138374,c_138373,c_138372,c_138371,c_138357,c_138354,c_138351,c_138350,c_138349,c_138348,c_138347,c_138346,c_138345,c_138344,c_138343,c_138342,c_138341,c_138340,c_138339,c_138338,c_138337,c_138336,c_138335,c_138334,c_138331,c_138330,c_138329,c_138328,c_138327,c_138326,c_138325,c_138324,c_138323,c_138320,c_138317,c_138316,c_138313,c_138312,c_138311,c_138310,c_137997,c_137996,c_137995,c_137994,c_137993,c_137992,c_137974,c_137973,c_137948,c_137947,c_137946,c_137945,c_137942,c_137941,c_137940,c_137938,c_137937,c_137936,c_137935,c_137934,c_137933,c_137932,c_137931,c_137930,c_137929,c_137928,c_137925,c_137924,c_137923,c_137922,c_137920,c_137658,c_137657,c_137656,c_137655,c_137654,c_137653,c_137635,c_137634,c_137630,c_137668,c_137627,c_137623,c_137622,c_137621,c_137620,c_137617,c_137616,c_137615,c_137614,c_137613,c_137612,c_137609,c_137608,c_137607,c_137606,c_137603,c_137602,c_137601,c_137599,c_137598,c_137597,c_137596,c_137595,c_137594,c_137593,c_137592,c_137591,c_137590,c_137589,c_137586,c_137585,c_137584,c_137583,c_137581,c_137411,c_137408,c_137407,c_137406,c_137362,c_137361,c_137360,c_137359,c_137356,c_137355,c_137354,c_137352,c_137351,c_137350,c_137349,c_137346,c_145679,c_137342,c_137341,c_137340,c_137338,c_137337,c_137336,c_137335,c_137334,c_137323,c_137321,c_137319,c_137317,c_137314,c_137347,c_137310,c_137306,c_137300,c_137264,c_137263,c_137262,c_137261,c_137260,c_136775,c_136774,c_136773,c_136772,c_136771,c_136770,c_136752,c_136751,c_136747,c_136791,c_136739,c_136738,c_136737,c_136734,c_136733,c_136732,c_136731,c_136730,c_136729,c_136726,c_136725,c_136724,c_136723,c_136721,c_136720,c_136719,c_136718,c_136716,c_136715,c_136714,c_136713,c_136710,c_136708,c_136707,c_136706,c_136705,c_136704,c_136703,c_136702,c_136701,c_136700,c_136699,c_136698,c_136709,c_136689,c_136687,c_136686,c_136685,c_136684,c_136683,c_136682,c_136681,c_136680,c_136679,c_136678,c_136677,c_136676,c_136675,c_136674,c_136673,c_136672,c_136671,c_136670,c_136669,c_136668,c_136667,c_136666,c_136717,c_136664,c_136663,c_136662,c_136661,c_136712,c_136659,c_136711,c_139206,c_136655,c_136651,c_137625,c_136647,c_136646,c_136645,c_136618,c_136617,c_136616,c_136615,c_136614,c_136613,c_136596,c_136592,c_136588,c_136580,c_136579,c_136578,c_136577,c_136576,c_136575,c_136574,c_136567,c_136565,c_136559,c_136548,c_136547,c_136545,c_136544,c_136528,c_136519,c_136518,c_136516,c_136515,c_136499,c_136398,c_136397,c_136394,c_136393,c_136391,c_136390,c_136384,c_136383,c_136377,c_136375,c_136374,c_136372,c_136371,c_136365,c_136364,c_136016,c_136015,c_136014,c_136011,c_135979,c_135978,c_135976,c_135975,c_135974,c_135959,c_135957,c_135956,c_135955,c_135952,c_135951,c_135950,c_135949,c_135947,c_135946,c_135945,c_135935,c_135934,c_135933,c_135932,c_135931,c_135930,c_135929,c_135928,c_135925,c_135924,c_135921,c_135920,c_135918,c_135917,c_135954,c_135914,c_135913,c_135912,c_135953,c_135958,c_135863,c_135862,c_135759,c_135740,c_135739,c_135717,c_135716,c_135678,c_135677,c_135675,c_135669,c_135639,c_135638,c_135637,c_135636,c_135635,c_135634,c_135631,c_135628,c_135627,c_135626,c_135625,c_135624,c_135623,c_135622,c_135621,c_135543,c_135542,c_135539,c_135538,c_135537,c_135536,c_135535,c_135531,c_135529,c_135528,c_135502,c_135498,c_135494,c_135490,c_135483,c_135482,c_135479,c_135478,c_135477,c_135476,c_135475,c_135469,c_135468,c_135464,c_135463,c_135462,c_135461,c_135460,c_135458,c_135457,c_135451,c_135450,c_135438,c_135437,c_135435,c_135376,c_135363,c_135116,c_135115,c_135113,c_135112,c_135111,c_135110,c_135098,c_135097,c_135095,c_135094,c_135093,c_135090,c_135089,c_135088,c_135087,c_135075,c_135074,c_135073,c_135072,c_135071,c_135070,c_135069,c_135068,c_135065,c_135064,c_135063,c_135062,c_135061,c_135092,c_135058,c_135057,c_135055,c_135030,c_135091,c_135096,c_135007,c_135006,c_134995,c_134992,c_134934,c_134933,c_134930,c_134928,c_134927,c_134926,c_134925,c_134924,c_134923,c_134922,c_134918,c_134914,c_134909,c_134642,c_134641,c_134640,c_134639,c_134638,c_134636,c_134635,c_134634,c_134632,c_134631,c_134447,c_134443,c_134439,c_134435,c_134428,c_134427,c_134424,c_134423,c_134422,c_134421,c_134420,c_134414,c_134413,c_134409,c_134408,c_134407,c_134406,c_134405,c_134403,c_134402,c_134396,c_134395,c_134221,c_134220,c_134202,c_134201,c_134199,c_134198,c_134193,c_134190,c_134156,c_134152,c_134148,c_134144,c_134137,c_134136,c_134133,c_134132,c_134131,c_134130,c_134129,c_134123,c_134122,c_134117,c_134116,c_134115,c_134114,c_134113,c_134111,c_134110,c_134104,c_134103,c_134074,c_134070,c_134066,c_134062,c_134055,c_134054,c_134051,c_134050,c_134049,c_134048,c_134047,c_134041,c_134040,c_134035,c_134034,c_134033,c_134032,c_134031,c_134029,c_134028,c_134022,c_134021,c_133346,c_133342,c_133318,c_133317,c_133315,c_133314,c_133308,c_133307,c_133304,c_133303,c_133302,c_133301,c_133300,c_133288,c_133284,c_133283,c_133281,c_133280,c_132999,c_132977,c_132976,c_132971,c_132970,c_132965,c_132955,c_132951,c_132948,c_132947,c_132939,c_132933,c_132932,c_132931,c_132928,c_132927,c_132926,c_132925,c_132924,c_132923,c_132922,c_132920,c_132917,c_132915,c_132914,c_132912,c_132910,c_132990,c_132906,c_132903,c_132902,c_132899,c_132898,c_132897,c_132896,c_132877,c_132834,c_132833,c_132832,c_132831,c_132830,c_132829,c_132828,c_132825,c_132809,c_132780,c_132779,c_132778,c_132777,c_132771,c_132769,c_132766,c_132761,c_132760,c_132759,c_132758,c_132757,c_132756,c_132751,c_132731,c_132730,c_132728,c_132727,c_132726,c_132725,c_132724,c_132718,c_132699,c_132655,c_132654,c_132648,c_132647,c_132646,c_132645,c_132644,c_132643,c_132642,c_132639,c_132623,c_132616,c_132615,c_132610,c_132606,c_132604,c_132596,c_132595,c_132593,c_132592,c_132591,c_132590,c_132589,c_132587,c_132585,c_132583,c_132561,c_132555,c_132551,c_132537,c_132536,c_132535,c_132534,c_132533,c_132527,c_132526,c_132522,c_132521,c_132520,c_132519,c_132518,c_132517,c_132516,c_132515,c_132509,c_132508,c_132459,c_132450,c_132449,c_132444,c_132440,c_132438,c_132437,c_132431,c_132427,c_132413,c_132412,c_132411,c_132410,c_132409,c_132403,c_132402,c_132400,c_132397,c_132396,c_132395,c_132394,c_132393,c_132392,c_132391,c_132390,c_132384,c_132383,c_131927,c_131926,c_131925,c_131891,c_131890,c_131888,c_131887,c_131886,c_131871,c_131869,c_131868,c_131867,c_131864,c_131863,c_131862,c_131861,c_131859,c_131858,c_131857,c_131847,c_131846,c_131845,c_131844,c_131843,c_131842,c_131841,c_131838,c_131837,c_131834,c_131833,c_131831,c_131830,c_131866,c_131827,c_131826,c_131825,c_131865,c_131870,c_131776,c_131775,c_131743,c_131742,c_131741,c_131740,c_131733,c_131732,c_131729,c_131724,c_131723,c_131722,c_131721,c_131720,c_131719,c_131691,c_131655,c_131654,c_131652,c_131633,c_131608,c_131607,c_131533,c_131529,c_131521,c_131471,c_131470,c_131468,c_131467,c_131399,c_131398,c_131397,c_131396,c_131395,c_131394,c_131375,c_131374,c_131373,c_131400,c_131368,c_131350,c_131334,c_130680,c_130683,c_130682,c_130676,c_130675,c_130674,c_130673,c_130658,c_130657,c_130656,c_130652,c_130648,c_130646,c_130641,c_130638,c_130637,c_130630,c_130629,c_130628,c_130626,c_130624,c_130623,c_130622,c_130620,c_130619,c_130618,c_130615,c_130613,c_130612,c_130610,c_130609,c_130608,c_130607,c_130606,c_130605,c_130604,c_130603,c_130602,c_130601,c_130600,c_130599,c_130598,c_130597,c_130591,c_130590,c_130588,c_130587,c_130617,c_130585,c_130584,c_130583,c_130581,c_130578,c_130577,c_130576,c_130575,c_130574,c_130573,c_130572,c_130571,c_130570,c_130569,c_130568,c_130567,c_130566,c_130563,c_130562,c_130559,c_130558,c_130556,c_130621,c_130551,c_130550,c_130549,c_130548,c_130547,c_130546,c_130545,c_130539,c_130534,c_130533,c_130532,c_130505,c_130460,c_130459,c_130457,c_130456,c_130382,c_130381,c_130380,c_130379,c_130378,c_130377,c_130358,c_130357,c_130356,c_130383,c_130351,c_130349,c_130344,c_130333,c_130317,c_130355,c_130369,c_130243,c_130242,c_130241,c_130240,c_130239,c_130238,c_130237,c_130224,c_130185,c_130184,c_130175,c_130160,c_129578,c_129580,c_129579,c_129573,c_129572,c_129571,c_129570,c_129566,c_129556,c_129555,c_129554,c_129550,c_129546,c_129544,c_129539,c_129536,c_129535,c_129528,c_129527,c_129526,c_129524,c_129522,c_129521,c_129520,c_129518,c_129517,c_129516,c_129513,c_129511,c_129510,c_129508,c_129507,c_129506,c_129505,c_129504,c_129503,c_129502,c_129501,c_129500,c_129499,c_129498,c_129497,c_129496,c_129495,c_129494,c_129489,c_129488,c_129486,c_129485,c_129515,c_129483,c_129482,c_129481,c_129479,c_129476,c_129475,c_129474,c_129473,c_129472,c_129471,c_129470,c_129469,c_129468,c_129467,c_129466,c_129465,c_129464,c_129461,c_129460,c_129457,c_129456,c_129454,c_129519,c_129449,c_129448,c_129447,c_129446,c_129445,c_129444,c_129443,c_129437,c_129432,c_129431,c_129430,c_129404,c_133001,c_129000,c_129002,c_128996,c_128995,c_128994,c_128993,c_128990,c_128959,c_128958,c_128943,c_128941,c_128940,c_128939,c_128936,c_128934,c_128933,c_128931,c_128930,c_128929,c_128925,c_128924,c_128921,c_128920,c_128919,c_128918,c_128917,c_128912,c_128911,c_128909,c_128908,c_128938,c_128906,c_128905,c_128904,c_128902,c_128894,c_128893,c_128892,c_128891,c_128888,c_128887,c_128884,c_128883,c_128880,c_128879,c_128877,c_128942,c_128860,c_128855,c_128854,c_128853,c_128819,c_128757,c_128756,c_128747,c_128670,c_128669,c_128660,c_128641,c_128643,c_128608,c_128607,c_128598,c_128581,c_128520,c_128519,c_128517,c_128515,c_128510,c_128435,c_128434,c_128432,c_128430,c_128425,c_128367,c_128366,c_128364,c_128362,c_128357,c_128338,c_133000,c_128228,c_128227,c_128225,c_128223,c_128218,c_128199,c_128201,c_128102,c_128101,c_128099,c_128098,c_128092,c_128091,c_128085,c_128084,c_128069,c_128068,c_128067,c_128066,c_128065,c_128056,c_134452,c_135507,c_127835,c_136407,c_127822,c_127821,c_127820,c_127819,c_127818,c_127817,c_127806,c_127802,c_134161,c_134079,c_127777,c_127771,c_127766,c_127765,c_127764,c_127762,c_127759,c_127756,c_127752,c_127747,c_127746,c_127741,c_127740,c_127739,c_127737,c_127736,c_127735,c_127733,c_127732,c_127730,c_127729,c_127755,c_127697,c_127685,c_127680,c_127679,c_117586,c_117588,c_117581,c_117580,c_117579,c_117578,c_117574,c_117544,c_117543,c_117528,c_117526,c_117525,c_117524,c_117521,c_117519,c_117518,c_117516,c_117515,c_117514,c_117510,c_117509,c_117506,c_117505,c_117504,c_117503,c_117502,c_117497,c_117496,c_117494,c_117493,c_117523,c_117491,c_117490,c_117489,c_117487,c_117479,c_117478,c_117477,c_117476,c_117473,c_117472,c_117469,c_117468,c_117465,c_117464,c_117462,c_117527,c_117445,c_117440,c_117439,c_117438,c_103075,c_103074,c_103073,c_103072,c_103038,c_103037,c_103022,c_103020,c_103019,c_103018,c_103015,c_103012,c_103009,c_103008,c_103004,c_103003,c_103000,c_102999,c_102998,c_102997,c_102991,c_102988,c_102987,c_103017,c_102985,c_102984,c_102983,c_102973,c_102972,c_102971,c_102970,c_102967,c_102966,c_102963,c_102962,c_102959,c_102958,c_103021,c_102939,c_102934,c_102933,c_102932,c_102429,c_102426,c_102424,c_102423,c_102422,c_102421,c_102420,c_102419,c_102418,c_102417,c_102416,c_102415,c_102414,c_102413,c_102412,c_102411,c_102410,c_102408,c_102407,c_102405,c_102404,c_102403,c_102402,c_102389,c_102388,c_102385,c_102384,c_102381,c_102380,c_102379,c_102378,c_102377,c_102376,c_102375,c_102374,c_102373,c_102372,c_102371,c_102370,c_102369,c_102368,c_102367,c_102366,c_102365,c_102364,c_102363,c_102362,c_102355,c_102354,c_102357,c_102356,c_102428,c_102132,c_102128,c_102126,c_102125,c_102124,c_102123,c_102122,c_102121,c_102120,c_102119,c_102118,c_102117,c_102116,c_102115,c_102114,c_102113,c_102112,c_102110,c_102109,c_102108,c_102107,c_102106,c_102105,c_102104,c_102101,c_102098,c_102097,c_102094,c_102093,c_102092,c_102091,c_102130,c_102067,c_102062,c_102061,c_102056,c_102052,c_102050,c_102048,c_102043,c_102039,c_102034,c_102033,c_102031,c_102030,c_102028,c_102027,c_102021,c_102020,c_102017,c_102016,c_102012,c_102011,c_102009,c_102008,c_102002,c_102001,c_101993,c_101992,c_101987,c_101981,c_101980,c_101978,c_101977,c_101971,c_101970,c_101661,c_101657,c_101653,c_101651,c_101650,c_101649,c_101648,c_101647,c_101646,c_101645,c_101644,c_101643,c_101642,c_101641,c_101640,c_101639,c_101638,c_101637,c_101635,c_101634,c_101633,c_101632,c_101631,c_101630,c_101629,c_101626,c_101623,c_101622,c_101619,c_101618,c_101617,c_101616,c_101655,c_101210,c_101208,c_101206,c_101205,c_101204,c_101203,c_101202,c_101201,c_101200,c_101199,c_101198,c_101197,c_101196,c_101195,c_101194,c_101193,c_101192,c_101191,c_101189,c_101188,c_101186,c_101185,c_101184,c_101183,c_101170,c_101169,c_101166,c_101165,c_101164,c_101163,c_101161,c_101160,c_101159,c_101158,c_101156,c_101155,c_101154,c_101153,c_101152,c_101151,c_101150,c_101149,c_101148,c_101147,c_101146,c_101145,c_101144,c_101143,c_101140,c_101139,c_101136,c_101135,c_101138,c_101137,c_101005,c_101001,c_100998,c_100996,c_100995,c_100994,c_100993,c_100992,c_100991,c_100990,c_100989,c_100988,c_100987,c_100986,c_100985,c_100984,c_100983,c_100982,c_100981,c_100979,c_100978,c_100977,c_100976,c_100975,c_100974,c_100973,c_100970,c_100967,c_100966,c_100963,c_100962,c_100961,c_100960,c_100805,c_100798,c_100794,c_100791,c_100789,c_100788,c_100787,c_100786,c_100785,c_100784,c_100783,c_100782,c_100781,c_100780,c_100779,c_100778,c_100777,c_100776,c_100775,c_100774,c_100772,c_100771,c_100770,c_100769,c_100768,c_100767,c_100766,c_100763,c_100760,c_100759,c_100756,c_100755,c_100754,c_100753,c_100740,c_100739,c_100345,c_100342,c_100338,c_100337,c_100335,c_100334,c_100328,c_100327,c_100325,c_100324,c_100323,c_100322,c_100317,c_100316,c_100312,c_100310,c_100308,c_100307,c_100305,c_100304,c_100303,c_100302,c_100301,c_100300,c_100298,c_100297,c_100293,c_100292,c_100291,c_100290,c_100277,c_100276,c_100275,c_100274,c_100273,c_100272,c_100271,c_100270,c_100269,c_100268,c_100267,c_100266,c_100261,c_100260,c_100263,c_100262,c_99956,c_99951,c_99918,c_99917,c_99915,c_99914,c_99913,c_99912,c_99911,c_99908,c_99907,c_99904,c_99902,c_99900,c_99899,c_99893,c_99892,c_99886,c_99885,c_99884,c_99882,c_99881,c_99879,c_99874,c_99872,c_99871,c_99870,c_99869,c_99868,c_99867,c_99866,c_99853,c_99663,c_99658,c_99625,c_99624,c_99622,c_99621,c_99620,c_99619,c_99618,c_99615,c_99614,c_99611,c_99609,c_99607,c_99606,c_99600,c_99599,c_99593,c_99592,c_99591,c_99589,c_99588,c_99586,c_99581,c_99579,c_99578,c_99577,c_99576,c_99575,c_99574,c_99573,c_99560,c_99251,c_99229,c_99228,c_99227,c_99226,c_99225,c_99224,c_99223,c_99222,c_99221,c_99219,c_99218,c_99217,c_99216,c_99215,c_99214,c_99213,c_99209,c_99208,c_99207,c_99205,c_99204,c_99203,c_99196,c_99195,c_99186,c_99185,c_99184,c_99183,c_99182,c_99181,c_99180,c_99179,c_99178,c_99177,c_99176,c_99175,c_99174,c_99173,c_99172,c_99171,c_99166,c_99165,c_99168,c_99167,c_99107,c_99105,c_97713,c_97708,c_97662,c_97661,c_97659,c_97658,c_97657,c_97656,c_97655,c_97652,c_97651,c_97649,c_97648,c_97647,c_97646,c_97616,c_97615,c_97614,c_97613,c_97612,c_97611,c_97610,c_97609,c_97608,c_97606,c_97605,c_97604,c_97603,c_97602,c_97601,c_97600,c_97597,c_97596,c_97595,c_97594,c_97593,c_97592,c_97591,c_97590,c_97589,c_97588,c_97587,c_97234,c_97229,c_97183,c_97182,c_97180,c_97179,c_97178,c_97177,c_97176,c_97173,c_97172,c_97170,c_97169,c_97168,c_97167,c_97137,c_97136,c_97135,c_97134,c_97133,c_97132,c_97131,c_97130,c_97129,c_97127,c_97126,c_97125,c_97124,c_97123,c_97122,c_97121,c_97118,c_97117,c_97116,c_97115,c_97114,c_97113,c_97112,c_97111,c_97110,c_97109,c_97108,c_96988,c_96987,c_96985,c_96984,c_96942,c_96941,c_96940,c_96939,c_96936,c_96935,c_96934,c_96932,c_96931,c_96930,c_96929,c_96927,c_96925,c_96924,c_96923,c_96922,c_96919,c_96918,c_96915,c_96914,c_96913,c_96912,c_96792,c_96791,c_96789,c_96788,c_96778,c_96746,c_96745,c_96744,c_96743,c_96740,c_96739,c_96738,c_96736,c_96735,c_96734,c_96733,c_96731,c_96729,c_96728,c_96727,c_96726,c_96723,c_96722,c_96719,c_96718,c_96717,c_96716,c_96704,c_96582,c_96581,c_96579,c_96574,c_96572,c_96571,c_96569,c_96567,c_96555,c_96554,c_96553,c_96546,c_96532,c_96521,c_96519,c_96306,c_96305,c_96303,c_96301,c_96300,c_96298,c_96297,c_96291,c_96290,c_96288,c_96287,c_96286,c_96285,c_96280,c_96279,c_96275,c_96273,c_96271,c_96270,c_96268,c_96267,c_96266,c_96265,c_96264,c_96263,c_96261,c_96260,c_96256,c_96255,c_96254,c_96253,c_96240,c_96239,c_96238,c_96237,c_96236,c_96235,c_96234,c_96233,c_96232,c_96231,c_96230,c_96229,c_96224,c_96223,c_96226,c_96225,c_95853,c_95852,c_95850,c_95849,c_95843,c_95842,c_95839,c_95837,c_95835,c_95834,c_95828,c_95827,c_95821,c_95820,c_95819,c_95818,c_95817,c_95816,c_95814,c_95809,c_95807,c_95806,c_95805,c_95804,c_95803,c_95802,c_95801,c_95788,c_95787,c_95273,c_95272,c_95270,c_95269,c_95263,c_95262,c_95259,c_95257,c_95255,c_95254,c_95248,c_95247,c_95241,c_95240,c_95239,c_95238,c_95237,c_95236,c_95234,c_95229,c_95227,c_95226,c_95225,c_95224,c_95223,c_95222,c_95221,c_95208,c_95207,c_94749,c_94727,c_94726,c_94725,c_94724,c_94723,c_94722,c_94721,c_94720,c_94719,c_94717,c_94716,c_94715,c_94714,c_94713,c_94712,c_94711,c_94707,c_94706,c_94705,c_94703,c_94702,c_94701,c_94694,c_94693,c_94684,c_94683,c_94682,c_94681,c_94680,c_94679,c_94678,c_94677,c_94676,c_94675,c_94674,c_94673,c_94672,c_94671,c_94670,c_94669,c_94664,c_94663,c_94666,c_94665,c_94546,c_94545,c_94543,c_94538,c_94536,c_94535,c_94533,c_94531,c_94519,c_94518,c_94517,c_94510,c_94504,c_94497,c_94496,c_94487,c_94485,c_94483,c_94391,c_94363,c_94360,c_94358,c_94335,c_94334,c_94321,c_94320,c_94319,c_94318,c_94317,c_94316,c_94315,c_94314,c_94313,c_94312,c_94196,c_94194,c_94191,c_94185,c_94184,c_94178,c_94177,c_94176,c_94175,c_94174,c_94173,c_94171,c_94166,c_94164,c_94163,c_94161,c_94158,c_94145,c_94144,c_94133,c_94131,c_94126,c_94125,c_94150,c_94112,c_93492,c_93486,c_93484,c_93479,c_93478,c_93465,c_93464,c_93463,c_93462,c_93457,c_93456,c_93452,c_93450,c_93448,c_93447,c_93445,c_93444,c_93438,c_93437,c_93431,c_93430,c_93417,c_93416,c_93415,c_93414,c_93413,c_93412,c_93411,c_93410,c_93409,c_93408,c_93406,c_93401,c_93400,c_93403,c_93402,c_101187,c_93151,c_93149,c_93146,c_93140,c_93139,c_93133,c_93132,c_93131,c_93130,c_93129,c_93128,c_93126,c_93121,c_93119,c_93118,c_93116,c_93113,c_93100,c_93099,c_93088,c_93086,c_93081,c_93080,c_93105,c_93067,c_92970,c_92967,c_92965,c_92953,c_92949,c_92946,c_92945,c_92944,c_92933,c_92931,c_92926,c_92912,c_92751,c_92748,c_92746,c_92735,c_92731,c_92730,c_92727,c_92726,c_92725,c_92714,c_92712,c_92707,c_92693,c_91719,c_91681,c_91678,c_91676,c_91675,c_91673,c_91671,c_91670,c_91693,c_91661,c_91660,c_91657,c_91615,c_91613,c_91609,c_91598,c_91597,c_91594,c_91587,c_91662,c_91574,c_91573,c_91562,c_91560,c_91556,c_91555,c_91541,c_91540,c_91539,c_91529,c_91527,c_91522,c_91608,c_91603,c_91599,c_91508,c_90498,c_90497,c_90495,c_90494,c_90488,c_90487,c_90485,c_90473,c_90472,c_90452,c_90451,c_90450,c_90449,c_90448,c_90447,c_90446,c_90445,c_90444,c_90442,c_90441,c_90440,c_90439,c_90438,c_90437,c_90436,c_90434,c_90433,c_90432,c_90431,c_90430,c_90429,c_90428,c_90427,c_90426,c_90425,c_90424,c_90423,c_90422,c_90183,c_90182,c_90180,c_90179,c_90173,c_90172,c_90170,c_90158,c_90157,c_90137,c_90136,c_90135,c_90134,c_90133,c_90132,c_90131,c_90130,c_90129,c_90127,c_90126,c_90125,c_90124,c_90123,c_90122,c_90121,c_90119,c_90118,c_90117,c_90116,c_90115,c_90114,c_90113,c_90112,c_90111,c_90110,c_90109,c_90108,c_90107,c_89671,c_89670,c_89668,c_89665,c_89664,c_89662,c_89661,c_89655,c_89654,c_89652,c_89651,c_89650,c_89649,c_89644,c_89643,c_89639,c_89637,c_89635,c_89634,c_89632,c_89631,c_89630,c_89629,c_89628,c_89627,c_89625,c_89624,c_89620,c_89619,c_89618,c_89617,c_89604,c_89603,c_89602,c_89601,c_89600,c_89599,c_89598,c_89597,c_89596,c_89595,c_89594,c_89593,c_89588,c_89587,c_89590,c_89589,c_89584,c_89298,c_89293,c_89292,c_89290,c_89289,c_89287,c_89285,c_89283,c_89282,c_89277,c_89275,c_89274,c_89268,c_89267,c_89265,c_89262,c_89261,c_89260,c_89259,c_89258,c_89257,c_89256,c_89254,c_89249,c_89247,c_89246,c_89245,c_89244,c_89243,c_89242,c_89241,c_89228,c_89227,c_89199,c_89195,c_89176,c_89175,c_89173,c_89172,c_89166,c_89165,c_89162,c_89161,c_89160,c_89159,c_89158,c_89145,c_89144,c_89142,c_89141,c_89132,c_88919,c_88894,c_88890,c_88871,c_88870,c_88868,c_88867,c_88861,c_88860,c_88857,c_88856,c_88855,c_88854,c_88853,c_88839,c_88838,c_88836,c_88835,c_88833,c_88831,c_88826,c_88825,c_88770,c_88769,c_88768,c_88767,c_88766,c_88750,c_88749,c_88772,c_88743,c_88718,c_88717,c_88716,c_88558,c_88554,c_88541,c_88540,c_88538,c_88537,c_88535,c_88534,c_88528,c_88527,c_88520,c_88519,c_88517,c_88516,c_88511,c_88510,c_88509,c_88508,c_88407,c_88406,c_88405,c_88404,c_88403,c_88387,c_88386,c_88409,c_88393,c_88380,c_88392,c_88355,c_88354,c_88353,c_88264,c_88263,c_88262,c_88261,c_88260,c_88259,c_88258,c_88254,c_88250,c_88247,c_88246,c_88245,c_87840,c_87813,c_87812,c_87809,c_87807,c_87793,c_87792,c_87791,c_87786,c_87785,c_87772,c_87771,c_87770,c_87769,c_87768,c_87767,c_87766,c_87765,c_87764,c_87763,c_87642,c_87641,c_87638,c_87636,c_87624,c_87623,c_87621,c_87620,c_87617,c_87609,c_87605,c_87603,c_87598,c_87622,c_87584,c_87470,c_87469,c_87466,c_87464,c_87453,c_87452,c_87451,c_87449,c_87448,c_87445,c_87437,c_87433,c_87431,c_87426,c_87450,c_87412,c_87240,c_87235,c_87234,c_87232,c_87231,c_87229,c_87227,c_87225,c_87224,c_87219,c_87217,c_87216,c_87210,c_87209,c_87207,c_87204,c_87203,c_87202,c_87201,c_87200,c_87199,c_87198,c_87196,c_87191,c_87189,c_87188,c_87187,c_87186,c_87185,c_87184,c_87183,c_87170,c_87169,c_102406,c_86815,c_86793,c_86792,c_86791,c_86790,c_86789,c_86788,c_86787,c_86786,c_86785,c_86783,c_86782,c_86781,c_86780,c_86779,c_86778,c_86777,c_86773,c_86772,c_86771,c_86769,c_86768,c_86767,c_86762,c_86761,c_86748,c_86747,c_86746,c_86745,c_86744,c_86743,c_86742,c_86741,c_86740,c_86739,c_86738,c_86737,c_86732,c_86731,c_86734,c_86733,c_85903,c_85851,c_85846,c_85845,c_85843,c_85842,c_85840,c_85838,c_85836,c_85835,c_85833,c_85821,c_85820,c_85800,c_85799,c_85798,c_85797,c_85796,c_85795,c_85794,c_85793,c_85792,c_85790,c_85789,c_85788,c_85787,c_85786,c_85785,c_85784,c_85782,c_85781,c_85780,c_85779,c_85778,c_85777,c_85776,c_85775,c_85774,c_85773,c_85772,c_85771,c_85770,c_85381,c_85329,c_85324,c_85323,c_85321,c_85320,c_85318,c_85316,c_85314,c_85313,c_85311,c_85299,c_85298,c_85278,c_85277,c_85276,c_85275,c_85274,c_85273,c_85272,c_85271,c_85270,c_85268,c_85267,c_85266,c_85265,c_85264,c_85263,c_85262,c_85260,c_85259,c_85258,c_85257,c_85256,c_85255,c_85254,c_85253,c_85252,c_85251,c_85250,c_85249,c_85248,c_85219,c_85215,c_85196,c_85195,c_85193,c_85192,c_85186,c_85185,c_85182,c_85181,c_85180,c_85179,c_85178,c_85165,c_85164,c_85162,c_85161,c_85152,c_85015,c_85010,c_84993,c_84989,c_84985,c_84980,c_84976,c_84957,c_84956,c_84954,c_84953,c_84947,c_84946,c_84943,c_84942,c_84941,c_84940,c_84939,c_84926,c_84925,c_84923,c_84922,c_84920,c_84918,c_84913,c_84755,c_84750,c_84748,c_84743,c_84742,c_84729,c_84728,c_84727,c_84726,c_84721,c_84720,c_84716,c_84714,c_84712,c_84711,c_84709,c_84708,c_84702,c_84701,c_84697,c_84696,c_84683,c_84682,c_84681,c_84680,c_84679,c_84678,c_84677,c_84676,c_84675,c_84674,c_88563,c_84667,c_84666,c_84669,c_84668,c_84401,c_84397,c_84396,c_84390,c_84389,c_84385,c_84384,c_84383,c_84382,c_84381,c_84380,c_84379,c_84378,c_84376,c_84371,c_84369,c_84368,c_84366,c_84363,c_84355,c_84343,c_84342,c_84339,c_84337,c_84332,c_84331,c_84359,c_84324,c_84318,c_84317,c_83966,c_83962,c_83961,c_83955,c_83954,c_83950,c_83949,c_83948,c_83947,c_83946,c_83945,c_83944,c_83943,c_83941,c_83936,c_83934,c_83933,c_83931,c_83928,c_83920,c_83908,c_83907,c_83904,c_83902,c_83897,c_83896,c_83924,c_83889,c_83883,c_83882,c_83363,c_83361,c_83357,c_83356,c_83351,c_83350,c_83349,c_83348,c_83347,c_83346,c_83345,c_83342,c_83341,c_83304,c_83303,c_83300,c_83298,c_83297,c_83295,c_83293,c_83287,c_83286,c_83283,c_83282,c_83279,c_83272,c_83352,c_83284,c_83259,c_83258,c_83247,c_83245,c_83292,c_83239,c_83285,c_83215,c_83213,c_83208,c_83320,c_83315,c_83194,c_82977,c_82976,c_82974,c_82969,c_82967,c_82966,c_82964,c_82962,c_82948,c_82941,c_82957,c_82934,c_82953,c_82928,c_82927,c_82916,c_82914,c_82615,c_82614,c_82612,c_82607,c_82605,c_82604,c_82602,c_82600,c_82586,c_82579,c_82595,c_82573,c_82572,c_82591,c_82566,c_82565,c_82554,c_82552,c_82520,c_82507,c_82437,c_82436,c_82435,c_82434,c_82433,c_82432,c_82431,c_82430,c_82429,c_82049,c_82047,c_82045,c_82044,c_82042,c_82041,c_82035,c_82034,c_82032,c_82031,c_82030,c_82029,c_82024,c_82023,c_82019,c_82017,c_82015,c_82014,c_82012,c_82011,c_82010,c_82009,c_82008,c_82007,c_82005,c_82004,c_82000,c_81999,c_81986,c_81985,c_81984,c_81983,c_81982,c_81981,c_81980,c_81979,c_81978,c_81977,c_81976,c_81975,c_81970,c_81969,c_81972,c_81971,c_81594,c_81593,c_81591,c_81590,c_81586,c_81584,c_81583,c_81580,c_81578,c_81575,c_81569,c_81568,c_81562,c_81561,c_81558,c_81557,c_81556,c_81555,c_81552,c_81551,c_81550,c_81548,c_81547,c_81546,c_81545,c_81544,c_81543,c_81542,c_81529,c_81355,c_81354,c_81352,c_81351,c_81347,c_81345,c_81344,c_81341,c_81339,c_81336,c_81330,c_81329,c_81323,c_81322,c_81319,c_81318,c_81317,c_81316,c_81313,c_81312,c_81311,c_81309,c_81308,c_81307,c_81306,c_81305,c_81304,c_81303,c_81290,c_81242,c_81241,c_81240,c_81239,c_81238,c_81237,c_81236,c_81235,c_81234,c_81156,c_81155,c_81154,c_81153,c_81152,c_81151,c_81150,c_81147,c_81143,c_81137,c_81111,c_81110,c_81087,c_81086,c_81060,c_81059,c_81057,c_81056,c_81050,c_81049,c_80916,c_80915,c_80901,c_80899,c_80893,c_80889,c_80888,c_80886,c_80885,c_80884,c_80883,c_80882,c_80876,c_80898,c_80872,c_80375,c_80374,c_80373,c_80372,c_80363,c_80362,c_80335,c_80334,c_80318,c_80317,c_80306,c_80305,c_80301,c_80300,c_80299,c_80298,c_80295,c_80294,c_80293,c_80292,c_80284,c_80277,c_80276,c_80275,c_80274,c_80273,c_80272,c_80271,c_80270,c_80269,c_80268,c_80267,c_80249,c_80214,c_80213,c_80212,c_80211,c_80209,c_80208,c_80202,c_80201,c_80179,c_80178,c_80177,c_80176,c_80174,c_80173,c_80167,c_80166,c_79855,c_79854,c_79853,c_79852,c_79843,c_79842,c_79814,c_79798,c_79797,c_79781,c_79780,c_79779,c_79778,c_79775,c_79774,c_79773,c_79772,c_79764,c_79757,c_79756,c_79755,c_79754,c_79753,c_79752,c_79751,c_79750,c_79749,c_79748,c_79747,c_79729,c_79110,c_79106,c_79102,c_79098,c_79094,c_79018,c_79017,c_79013,c_79010,c_79006,c_78999,c_78992,c_78985,c_78979,c_78978,c_78977,c_78976,c_78957,c_78956,c_78955,c_78954,c_78953,c_78952,c_78951,c_78950,c_78948,c_78942,c_78941,c_78940,c_78938,c_78929,c_78921,c_78919,c_78917,c_78916,c_78915,c_78913,c_78912,c_78910,c_78909,c_78907,c_78906,c_78905,c_78904,c_78900,c_78899,c_78894,c_78893,c_78892,c_78890,c_78889,c_78888,c_78886,c_78885,c_78883,c_78882,c_78874,c_78908,c_78872,c_78914,c_78857,c_78856,c_78855,c_78854,c_78852,c_78850,c_78846,c_78844,c_78841,c_78840,c_78839,c_78589,c_78585,c_78580,c_78576,c_78564,c_78563,c_78548,c_78502,c_78500,c_78499,c_78495,c_78492,c_78488,c_78481,c_78474,c_78467,c_78461,c_78460,c_78459,c_78458,c_78439,c_78438,c_78437,c_78436,c_78435,c_78434,c_78433,c_78432,c_78430,c_78424,c_78423,c_78422,c_78420,c_78411,c_78403,c_78401,c_78399,c_78398,c_78397,c_78395,c_78394,c_78392,c_78391,c_78389,c_78388,c_78387,c_78386,c_78382,c_78381,c_78376,c_78375,c_78374,c_78372,c_78371,c_78370,c_78368,c_78367,c_78365,c_78364,c_78356,c_78390,c_78354,c_78396,c_78339,c_78338,c_78337,c_78336,c_78334,c_78332,c_78328,c_78326,c_78323,c_78322,c_78321,c_78015,c_78014,c_78012,c_78011,c_77970,c_77969,c_77968,c_77967,c_77964,c_77963,c_77962,c_77960,c_77959,c_77958,c_77957,c_77955,c_77953,c_77952,c_77951,c_77950,c_77947,c_77946,c_77943,c_77942,c_77795,c_77794,c_77792,c_77791,c_77750,c_77749,c_77748,c_77747,c_77744,c_77743,c_77742,c_77740,c_77739,c_77738,c_77737,c_77735,c_77733,c_77732,c_77731,c_77730,c_77727,c_77726,c_77723,c_77722,c_77706,c_77705,c_77703,c_77702,c_77696,c_77695,c_77678,c_77677,c_77675,c_77674,c_77668,c_77667,c_77561,c_77560,c_77558,c_77557,c_77552,c_77551,c_77550,c_77549,c_77521,c_77520,c_77519,c_77518,c_77517,c_77487,c_77486,c_77485,c_77484,c_77483,c_77468,c_77440,c_77439,c_77437,c_77436,c_77430,c_77429,c_77391,c_77390,c_77388,c_77387,c_77381,c_77380,c_77375,c_77374,c_77372,c_77371,c_77013,c_77012,c_77010,c_77009,c_76997,c_76996,c_76994,c_76993,c_76983,c_76982,c_76981,c_76973,c_76972,c_76952,c_76951,c_76950,c_76949,c_76946,c_76945,c_76944,c_76942,c_76941,c_76940,c_76939,c_76937,c_76935,c_76934,c_76933,c_76932,c_76931,c_76930,c_76929,c_76928,c_76927,c_76926,c_76925,c_76909,c_76908,c_76906,c_76905,c_76899,c_76898,c_76881,c_76880,c_76878,c_76877,c_76871,c_76870,c_76539,c_76538,c_76536,c_76534,c_76533,c_76531,c_76530,c_76524,c_76523,c_76521,c_76520,c_76519,c_76518,c_76513,c_76512,c_76510,c_76508,c_76506,c_76505,c_76503,c_76502,c_76501,c_76500,c_76499,c_76498,c_76496,c_76495,c_76491,c_76490,c_76477,c_76476,c_76475,c_76474,c_76473,c_76472,c_76471,c_76470,c_76469,c_76468,c_76467,c_76466,c_76461,c_76460,c_76463,c_76462,c_76294,c_76293,c_76291,c_76290,c_76284,c_76283,c_76280,c_76278,c_76276,c_76275,c_76269,c_76268,c_76263,c_76262,c_76261,c_76260,c_76259,c_76258,c_76257,c_76255,c_76250,c_76248,c_76247,c_76246,c_76245,c_76244,c_76243,c_76242,c_76230,c_75789,c_75788,c_75786,c_75785,c_75779,c_75778,c_75775,c_75773,c_75771,c_75770,c_75764,c_75763,c_75758,c_75757,c_75756,c_75755,c_75754,c_75753,c_75752,c_75750,c_75745,c_75743,c_75742,c_75741,c_75740,c_75739,c_75738,c_75737,c_75725,c_75449,c_75427,c_75426,c_75425,c_75424,c_75423,c_75422,c_75421,c_75420,c_75419,c_75417,c_75416,c_75415,c_75414,c_75413,c_75412,c_75411,c_75407,c_75406,c_75405,c_75403,c_75402,c_75401,c_75398,c_75397,c_75388,c_75387,c_75386,c_75385,c_75384,c_75383,c_75382,c_75381,c_75380,c_75379,c_75378,c_75377,c_75376,c_75375,c_75374,c_75373,c_75368,c_75367,c_75370,c_75369,c_75345,c_75344,c_75342,c_75341,c_75335,c_75334,c_75308,c_75307,c_75306,c_75305,c_75304,c_75303,c_75297,c_75296,c_75177,c_75176,c_75175,c_75174,c_75173,c_75172,c_75171,c_75169,c_75166,c_75165,c_74989,c_74988,c_74986,c_74985,c_74979,c_74978,c_74944,c_74942,c_74941,c_74939,c_74938,c_74933,c_74932,c_74931,c_74930,c_74928,c_74909,c_74908,c_74906,c_74905,c_74899,c_74898,c_74741,c_74733,c_74732,c_74730,c_74729,c_74725,c_74724,c_74723,c_74722,c_74721,c_74720,c_74719,c_74718,c_74717,c_74716,c_74715,c_74714,c_74466,c_74465,c_74464,c_74463,c_74462,c_74461,c_74460,c_74458,c_74457,c_74456,c_74455,c_74451,c_74444,c_74425,c_74423,c_74422,c_74421,c_74419,c_74417,c_74412,c_74411,c_74408,c_74406,c_74405,c_74403,c_74400,c_74399,c_74397,c_74396,c_74416,c_74394,c_74393,c_74388,c_74387,c_74386,c_74385,c_74384,c_74379,c_74916,c_74372,c_74368,c_74367,c_74365,c_74363,c_74338,c_74337,c_74335,c_74334,c_74328,c_74327,c_74321,c_74320,c_74318,c_74317,c_96699,c_74054,c_74053,c_74051,c_74050,c_74037,c_74036,c_74034,c_74033,c_74023,c_74022,c_74021,c_74013,c_73993,c_73992,c_73991,c_73990,c_73987,c_73986,c_73985,c_73983,c_73982,c_73981,c_73980,c_73978,c_73976,c_73975,c_73974,c_73973,c_73972,c_73971,c_73970,c_73969,c_73968,c_73967,c_73966,c_73670,c_73662,c_73661,c_73659,c_73658,c_73654,c_73653,c_73652,c_73651,c_73650,c_73649,c_73648,c_73647,c_73646,c_73645,c_73644,c_73643,c_73627,c_73351,c_73348,c_73347,c_73346,c_73345,c_73344,c_73343,c_73342,c_73339,c_73338,c_73337,c_73336,c_73320,c_73308,c_73305,c_73304,c_73303,c_73301,c_73299,c_73294,c_73293,c_73290,c_73288,c_73287,c_73285,c_73282,c_73281,c_73279,c_73278,c_73298,c_73276,c_73275,c_73270,c_73269,c_73268,c_73267,c_73266,c_73265,c_73264,c_73263,c_73262,c_73255,c_73254,c_73253,c_73252,c_73249,c_73248,c_73246,c_73106,c_73105,c_73103,c_73102,c_73096,c_73095,c_73093,c_73092,c_73091,c_73063,c_73062,c_73061,c_73060,c_73059,c_73058,c_73057,c_73056,c_73055,c_73053,c_73052,c_73051,c_73050,c_73049,c_73048,c_73047,c_73046,c_73045,c_73044,c_73043,c_73042,c_73041,c_73040,c_73039,c_73038,c_73037,c_73036,c_72789,c_72788,c_72786,c_72785,c_72779,c_72778,c_72776,c_72775,c_72774,c_72746,c_72745,c_72744,c_72743,c_72742,c_72741,c_72740,c_72739,c_72738,c_72736,c_72735,c_72734,c_72733,c_72732,c_72731,c_72730,c_72729,c_72728,c_72727,c_72726,c_72725,c_72724,c_72723,c_72722,c_72721,c_72720,c_72719,c_72297,c_72293,c_72268,c_72217,c_72216,c_72211,c_72195,c_72191,c_72189,c_72188,c_72187,c_72186,c_72184,c_72183,c_72177,c_72176,c_72174,c_72173,c_72172,c_72171,c_72166,c_72165,c_72163,c_72161,c_72159,c_72158,c_72156,c_72155,c_72154,c_72153,c_72152,c_72151,c_72149,c_72148,c_72144,c_72143,c_72130,c_72129,c_72128,c_72127,c_72126,c_72125,c_72124,c_72123,c_72122,c_72121,c_72120,c_72119,c_72114,c_72113,c_72116,c_72115,c_71535,c_71530,c_71489,c_71488,c_71483,c_71479,c_71475,c_71471,c_71469,c_71468,c_71466,c_71465,c_71463,c_71461,c_71459,c_71458,c_71455,c_71452,c_71446,c_71445,c_71443,c_71441,c_71440,c_71439,c_71438,c_71437,c_71436,c_71435,c_71434,c_71432,c_71427,c_71425,c_71424,c_71423,c_71422,c_71421,c_71420,c_71419,c_71408,c_71407,c_71374,c_71372,c_71371,c_71369,c_71368,c_71363,c_71362,c_71361,c_71360,c_71343,c_71342,c_71340,c_71339,c_71333,c_71332,c_71321,c_71314,c_71313,c_71311,c_71310,c_71304,c_71303,c_71175,c_71174,c_70983,c_70982,c_70981,c_70980,c_70977,c_70971,c_70964,c_70955,c_70954,c_70952,c_70950,c_70945,c_70944,c_70941,c_70939,c_70938,c_70937,c_70936,c_70934,c_70933,c_70931,c_70928,c_70927,c_70925,c_70924,c_70949,c_70922,c_70921,c_70896,c_70894,c_70865,c_70864,c_70862,c_70861,c_70491,c_70486,c_70449,c_70448,c_70443,c_70439,c_70435,c_70431,c_70429,c_70428,c_70426,c_70425,c_70423,c_70421,c_70419,c_70418,c_70415,c_70412,c_70406,c_70405,c_70403,c_70401,c_70400,c_70399,c_70398,c_70397,c_70396,c_70395,c_70393,c_70388,c_70386,c_70385,c_70384,c_70383,c_70382,c_70381,c_70380,c_70369,c_70368,c_96700,c_69768,c_69749,c_69748,c_69747,c_69746,c_69745,c_69744,c_69743,c_69742,c_69741,c_69739,c_69738,c_69737,c_69736,c_69735,c_69734,c_69733,c_69729,c_69728,c_69727,c_69725,c_69724,c_69723,c_69720,c_69719,c_69706,c_69705,c_69704,c_69703,c_69702,c_69701,c_69700,c_69699,c_69698,c_69697,c_69696,c_69695,c_69690,c_69689,c_69692,c_69691,c_69104,c_69099,c_69082,c_69081,c_69076,c_69072,c_69068,c_69048,c_69047,c_69045,c_69044,c_69042,c_69040,c_69038,c_69037,c_69035,c_69034,c_69033,c_69006,c_69005,c_69004,c_69003,c_69002,c_69001,c_69000,c_68999,c_68998,c_68996,c_68995,c_68994,c_68993,c_68992,c_68991,c_68990,c_68989,c_68988,c_68987,c_68986,c_68985,c_68984,c_68983,c_68982,c_68981,c_68980,c_68979,c_68978,c_68506,c_68501,c_68484,c_68483,c_68478,c_68474,c_68470,c_68450,c_68449,c_68447,c_68446,c_68444,c_68442,c_68440,c_68439,c_68437,c_68436,c_68435,c_68408,c_68407,c_68406,c_68405,c_68404,c_68403,c_68402,c_68401,c_68400,c_68398,c_68397,c_68396,c_68395,c_68394,c_68393,c_68392,c_68391,c_68390,c_68389,c_68388,c_68387,c_68386,c_68385,c_68384,c_68383,c_68382,c_68381,c_68380,c_132967,c_67926,c_67925,c_67924,c_67923,c_67922,c_67919,c_67918,c_67917,c_67916,c_67915,c_67914,c_67913,c_67905,c_67904,c_67897,c_67895,c_67894,c_67893,c_67890,c_67889,c_67888,c_67887,c_67886,c_67885,c_67884,c_67883,c_67882,c_67881,c_67880,c_67879,c_67878,c_67877,c_67876,c_67875,c_67872,c_67871,c_67869,c_67868,c_67892,c_67866,c_67865,c_67863,c_67854,c_67896,c_67842,c_67841,c_67840,c_67823,c_67819,c_67815,c_67807,c_67806,c_67805,c_67804,c_67803,c_67797,c_67796,c_67544,c_67543,c_67541,c_67540,c_67528,c_67527,c_67525,c_67524,c_67514,c_67513,c_67505,c_67487,c_67486,c_67484,c_67483,c_67482,c_67479,c_67477,c_67476,c_67475,c_67474,c_67473,c_67472,c_67471,c_67470,c_67469,c_67468,c_67467,c_67466,c_67465,c_67464,c_67463,c_67462,c_67461,c_67460,c_67459,c_67363,c_67362,c_67361,c_67360,c_67359,c_67358,c_67357,c_67356,c_67355,c_67354,c_67353,c_67338,c_66972,c_66971,c_66970,c_66969,c_66968,c_66967,c_66966,c_66964,c_66963,c_66962,c_66961,c_67375,c_66929,c_66927,c_66925,c_66919,c_66916,c_66915,c_66914,c_66912,c_66909,c_66906,c_66905,c_66924,c_66903,c_66902,c_66897,c_66896,c_66895,c_66894,c_75352,c_66880,c_66878,c_66781,c_66780,c_66778,c_66777,c_66771,c_66770,c_66760,c_66752,c_66751,c_66749,c_66748,c_66742,c_66741,c_66703,c_66702,c_66700,c_66699,c_66693,c_66692,c_66687,c_66686,c_66684,c_66683,c_66541,c_66534,c_66531,c_66528,c_66510,c_66508,c_66503,c_66502,c_66499,c_66497,c_66496,c_66495,c_66490,c_66484,c_66483,c_66507,c_66480,c_66456,c_66446,c_66193,c_66188,c_66185,c_66184,c_66181,c_66176,c_66175,c_66170,c_66169,c_66168,c_66166,c_66165,c_66164,c_66160,c_66163,c_66136,c_66133,c_66114,c_66113,c_66105,c_66048,c_66047,c_65580,c_65579,c_65575,c_65574,c_65573,c_65572,c_65570,c_65569,c_65568,c_65567,c_65566,c_65565,c_65564,c_65563,c_65562,c_65561,c_65560,c_65559,c_65558,c_65557,c_65553,c_65550,c_65549,c_65552,c_65551,c_65546,c_65545,c_65544,c_65543,c_65542,c_65541,c_65531,c_65525,c_65524,c_65517,c_65515,c_65514,c_65513,c_65510,c_65508,c_65507,c_65506,c_65505,c_65504,c_65503,c_65502,c_65501,c_65500,c_65499,c_65498,c_65497,c_65494,c_65491,c_65512,c_65488,c_65487,c_65485,c_65477,c_65472,c_65465,c_65464,c_65463,c_64529,c_64528,c_64527,c_64526,c_64517,c_64516,c_64489,c_64488,c_64480,c_64478,c_64477,c_64476,c_64475,c_64473,c_64471,c_64470,c_64469,c_64468,c_64467,c_64461,c_64460,c_64459,c_64458,c_64457,c_64456,c_64455,c_64454,c_64453,c_64452,c_64449,c_64446,c_64444,c_64443,c_64442,c_64440,c_64439,c_64438,c_64437,c_64436,c_64435,c_64434,c_64432,c_64479,c_64420,c_64419,c_64418,c_63765,c_63764,c_63763,c_63762,c_63753,c_63752,c_63726,c_63725,c_63724,c_63716,c_63714,c_63713,c_63712,c_63711,c_63709,c_63707,c_63706,c_63705,c_63704,c_63703,c_63702,c_63701,c_63700,c_63699,c_63697,c_63696,c_63695,c_63694,c_63693,c_63692,c_63691,c_63690,c_63689,c_63688,c_63685,c_63682,c_63680,c_63679,c_63678,c_63676,c_63675,c_63674,c_63673,c_63672,c_63671,c_63670,c_63668,c_63715,c_63656,c_63655,c_63654,c_63380,c_63374,c_63373,c_63372,c_63371,c_63370,c_63355,c_63354,c_63353,c_63352,c_63345,c_63343,c_63342,c_63341,c_63338,c_63335,c_63333,c_63332,c_63331,c_63330,c_63329,c_63328,c_63322,c_63319,c_63318,c_63340,c_63316,c_63315,c_63344,c_63293,c_63292,c_63291,c_63283,c_63177,c_63176,c_63175,c_63174,c_63173,c_63171,c_63169,c_63166,c_63165,c_63156,c_63094,c_63093,c_63092,c_63091,c_63090,c_63088,c_63086,c_63083,c_63082,c_63073,c_62661,c_62660,c_62659,c_62654,c_62653,c_62652,c_62651,c_62650,c_62649,c_62648,c_62641,c_62640,c_62639,c_62632,c_62630,c_62629,c_62628,c_62625,c_62623,c_62622,c_62620,c_62619,c_62618,c_62617,c_62616,c_62615,c_62611,c_62610,c_62607,c_62604,c_62603,c_62627,c_62601,c_62600,c_62631,c_62578,c_62577,c_62576,c_62009,c_62008,c_61975,c_61962,c_61865,c_61864,c_61863,c_61833,c_61831,c_61826,c_61825,c_61824,c_61823,c_61818,c_61809,c_61804,c_61800,c_61797,c_61796,c_61793,c_61788,c_61785,c_61784,c_61781,c_61779,c_61778,c_61777,c_61776,c_61775,c_61771,c_61770,c_61769,c_61765,c_61764,c_61745,c_61744,c_61742,c_61741,c_61740,c_61739,c_61736,c_61734,c_61733,c_61732,c_61731,c_61729,c_61727,c_61724,c_61723,c_61721,c_61720,c_61719,c_61717,c_61715,c_61712,c_61711,c_61709,c_61708,c_61707,c_61704,c_61703,c_61702,c_61701,c_61700,c_61698,c_61697,c_61696,c_61695,c_61694,c_61693,c_61692,c_61691,c_61690,c_61689,c_61688,c_61685,c_61684,c_61683,c_61681,c_61680,c_61679,c_61678,c_61677,c_61676,c_61675,c_61674,c_61673,c_61671,c_61670,c_61669,c_61667,c_61666,c_61665,c_61664,c_61663,c_61662,c_61660,c_61659,c_61658,c_61682,c_61656,c_61655,c_61654,c_61653,c_61672,c_61651,c_61699,c_61649,c_61648,c_61647,c_61646,c_61645,c_61644,c_61643,c_61642,c_61641,c_61640,c_61639,c_61638,c_61637,c_61636,c_61631,c_61629,c_61628,c_61627,c_61624,c_61623,c_61622,c_61291,c_61290,c_61289,c_61284,c_61283,c_61282,c_61281,c_61280,c_61279,c_61278,c_61271,c_61270,c_61269,c_61262,c_61260,c_61259,c_61258,c_61255,c_61253,c_61252,c_61250,c_61249,c_61248,c_61247,c_61246,c_61245,c_61241,c_61240,c_61237,c_61234,c_61233,c_61257,c_61231,c_61230,c_61261,c_61208,c_61207,c_61206,c_60836,c_60835,c_60834,c_60833,c_60824,c_60823,c_60812,c_60811,c_60810,c_60805,c_60804,c_66761,c_60796,c_60795,c_60785,c_60782,c_60777,c_60774,c_60768,c_60767,c_60763,c_60761,c_60760,c_60759,c_60756,c_60754,c_60753,c_60752,c_60751,c_60750,c_60749,c_60744,c_60743,c_60742,c_60741,c_60727,c_60726,c_60725,c_60673,c_60672,c_60671,c_60670,c_60669,c_60667,c_60666,c_60665,c_60664,c_60662,c_60661,c_60653,c_60461,c_60460,c_60459,c_60458,c_60457,c_60455,c_60454,c_60453,c_60452,c_60450,c_60449,c_60441,c_60362,c_60361,c_60359,c_60358,c_60353,c_60352,c_60350,c_60349,c_60347,c_60346,c_60262,c_60261,c_60260,c_60259,c_60258,c_60256,c_60255,c_60254,c_60253,c_60251,c_60250,c_60242,c_60002,c_60001,c_60000,c_59999,c_59998,c_59996,c_59995,c_59994,c_59993,c_59991,c_59990,c_59982,c_59948,c_59947,c_59945,c_59944,c_59938,c_59935,c_59934,c_59932,c_59931,c_59540,c_59539,c_59537,c_59536,c_59527,c_59526,c_59524,c_59523,c_59516,c_59515,c_59493,c_59492,c_59491,c_59490,c_59488,c_59487,c_59486,c_59484,c_59483,c_59482,c_59481,c_59479,c_59477,c_59476,c_59475,c_59474,c_59473,c_59472,c_59471,c_59470,c_59469,c_58918,c_58917,c_58916,c_58915,c_58914,c_58911,c_58908,c_58906,c_58905,c_58899,c_58898,c_58889,c_58887,c_58885,c_58880,c_58879,c_58876,c_58873,c_58872,c_58870,c_58869,c_58867,c_58864,c_58863,c_58861,c_58860,c_58884,c_58858,c_58857,c_58836,c_58834,c_58822,c_58800,c_58799,c_58797,c_58796,c_58790,c_58786,c_58785,c_58783,c_58782,c_58780,c_58778,c_58775,c_58565,c_58515,c_58514,c_58512,c_58511,c_58501,c_58500,c_58498,c_58497,c_58495,c_58493,c_58490,c_58489,c_58468,c_58467,c_58466,c_58465,c_58463,c_58462,c_58461,c_58459,c_58458,c_58457,c_58456,c_58454,c_58452,c_58451,c_58450,c_58449,c_58448,c_58447,c_58446,c_58445,c_58444,c_58443,c_58125,c_58124,c_58123,c_58122,c_58121,c_58118,c_58115,c_58114,c_58113,c_58112,c_58106,c_58105,c_58096,c_58094,c_58092,c_58087,c_58086,c_58083,c_58079,c_58077,c_58076,c_58074,c_58071,c_58070,c_58068,c_58067,c_58091,c_58065,c_58064,c_58044,c_58042,c_57731,c_57730,c_57729,c_57728,c_57727,c_57724,c_57723,c_57722,c_57721,c_57720,c_57719,c_57718,c_57711,c_57710,c_57709,c_57702,c_57700,c_57698,c_57695,c_57693,c_57692,c_57690,c_57689,c_57686,c_57685,c_57683,c_57682,c_57681,c_57680,c_57677,c_57674,c_57673,c_57697,c_57671,c_57670,c_57650,c_57649,c_57648,c_57175,c_57174,c_57173,c_57172,c_57170,c_57166,c_57165,c_57164,c_57163,c_57162,c_57152,c_57138,c_57135,c_57134,c_57126,c_57124,c_57123,c_57122,c_57121,c_57119,c_57116,c_57114,c_57113,c_57110,c_57109,c_57108,c_57107,c_57106,c_57103,c_57102,c_57101,c_57100,c_57099,c_57098,c_57095,c_57093,c_57092,c_57091,c_57090,c_57089,c_57088,c_57085,c_57084,c_57083,c_57082,c_57125,c_57167,c_57068,c_57067,c_57066,c_57054,c_56734,c_56733,c_56688,c_56612,c_56611,c_56610,c_56581,c_56576,c_56575,c_56574,c_56573,c_56568,c_56559,c_56554,c_56550,c_56547,c_56546,c_56543,c_56539,c_56536,c_56535,c_56532,c_56530,c_56529,c_56528,c_56527,c_56526,c_56522,c_56521,c_56520,c_56516,c_56515,c_56498,c_56497,c_56495,c_56494,c_56493,c_56492,c_56488,c_56487,c_56486,c_56485,c_56484,c_56483,c_56482,c_56480,c_56477,c_56476,c_56475,c_56474,c_56473,c_56472,c_56470,c_56467,c_56466,c_56465,c_56464,c_56463,c_56461,c_56460,c_56459,c_56458,c_56457,c_56455,c_56454,c_56453,c_56452,c_56451,c_56450,c_56449,c_56448,c_56447,c_56446,c_56442,c_56441,c_56438,c_56437,c_56436,c_56435,c_56434,c_56433,c_56432,c_56431,c_56430,c_56428,c_56427,c_56426,c_56424,c_56423,c_56421,c_56420,c_56417,c_56416,c_56415,c_56439,c_56413,c_56412,c_56411,c_56410,c_56429,c_56408,c_56456,c_56406,c_56405,c_56404,c_56403,c_56402,c_56401,c_56400,c_56399,c_56398,c_56397,c_56396,c_56389,c_56388,c_56387,c_56384,c_56383,c_56382,c_56358,c_56357,c_56355,c_56354,c_56265,c_56264,c_56263,c_56261,c_56259,c_56256,c_56255,c_56248,c_56190,c_56189,c_56188,c_56186,c_56184,c_56181,c_56180,c_56173,c_56023,c_56022,c_56021,c_56019,c_56017,c_56014,c_56013,c_56006,c_55948,c_55947,c_55946,c_55944,c_55942,c_55939,c_55938,c_55931,c_55776,c_55775,c_55773,c_55772,c_55767,c_55765,c_55764,c_55762,c_55761,c_55755,c_55703,c_55702,c_55701,c_55699,c_55697,c_55694,c_55693,c_55686,c_55466,c_55461,c_55458,c_55457,c_55454,c_55449,c_55448,c_55443,c_55442,c_55441,c_55439,c_55438,c_55437,c_55433,c_55436,c_55391,c_55390,c_54831,c_54830,c_54826,c_54825,c_54824,c_54823,c_54821,c_54820,c_54819,c_54818,c_54817,c_54816,c_54815,c_54814,c_54813,c_54812,c_54811,c_54810,c_54809,c_54808,c_54806,c_54804,c_54801,c_54800,c_54803,c_54802,c_54797,c_54796,c_54795,c_54794,c_54793,c_54792,c_54782,c_54776,c_54775,c_54768,c_54766,c_54765,c_54764,c_54761,c_54759,c_54758,c_54757,c_54756,c_54755,c_54754,c_54753,c_54752,c_54751,c_54750,c_54749,c_54748,c_54745,c_54742,c_54763,c_54739,c_54738,c_54736,c_54730,c_54725,c_54718,c_54717,c_54716,c_54504,c_54503,c_54502,c_54501,c_54492,c_54491,c_54464,c_54463,c_54455,c_54453,c_54452,c_54451,c_54450,c_54448,c_54445,c_54443,c_54442,c_54436,c_54435,c_54434,c_54433,c_54432,c_54431,c_54429,c_54428,c_54427,c_54424,c_54421,c_54419,c_54418,c_54417,c_54414,c_54413,c_54412,c_54411,c_54454,c_54405,c_54397,c_54396,c_54395,c_54165,c_54164,c_54163,c_54162,c_54153,c_54152,c_54126,c_54125,c_54124,c_54116,c_54114,c_54113,c_54112,c_54111,c_54109,c_54106,c_54104,c_54103,c_54100,c_54097,c_54096,c_54095,c_54094,c_54093,c_54092,c_54090,c_54089,c_54088,c_54085,c_54082,c_54080,c_54079,c_54078,c_54075,c_54074,c_54073,c_54072,c_54115,c_54066,c_54058,c_54057,c_54056,c_53922,c_53921,c_53920,c_53918,c_53916,c_53913,c_53912,c_53907,c_53860,c_53859,c_53857,c_53856,c_53849,c_53848,c_53846,c_53845,c_53740,c_53739,c_53737,c_53736,c_53729,c_53728,c_53726,c_53725,c_53720,c_53719,c_53700,c_53699,c_53698,c_53697,c_53696,c_53695,c_53694,c_53692,c_53691,c_53690,c_53689,c_53687,c_53685,c_53684,c_53683,c_53682,c_53681,c_53680,c_53303,c_53302,c_53301,c_53300,c_53299,c_53296,c_53294,c_53293,c_53292,c_53291,c_53290,c_53274,c_53272,c_53270,c_53265,c_53264,c_53261,c_53260,c_53259,c_53258,c_53257,c_53255,c_53254,c_53252,c_53249,c_53248,c_53246,c_53245,c_53269,c_53243,c_53242,c_53223,c_53221,c_53209,c_53204,c_53195,c_53191,c_53187,c_53178,c_53177,c_53175,c_53174,c_53167,c_53166,c_53164,c_53163,c_53161,c_53159,c_53021,c_53016,c_52991,c_52987,c_52983,c_52961,c_52960,c_52958,c_52957,c_52950,c_52949,c_52947,c_52946,c_52944,c_52942,c_52941,c_52940,c_52922,c_52921,c_52920,c_52919,c_52918,c_52917,c_52916,c_52914,c_52913,c_52912,c_52911,c_52909,c_52907,c_52906,c_52905,c_52904,c_52903,c_52902,c_52697,c_52696,c_52695,c_52694,c_52693,c_52690,c_52689,c_52688,c_52687,c_52686,c_52685,c_52684,c_52668,c_52666,c_52664,c_52659,c_52658,c_52655,c_52654,c_52653,c_52652,c_52651,c_52649,c_52648,c_52646,c_52643,c_52642,c_52640,c_52639,c_52663,c_52637,c_52636,c_52618,c_52616,c_52603,c_52166,c_52165,c_52164,c_52163,c_52162,c_52159,c_52158,c_52157,c_52156,c_52155,c_52154,c_52153,c_52146,c_52145,c_52144,c_52137,c_52135,c_52134,c_52133,c_52130,c_52128,c_52127,c_52125,c_52124,c_52123,c_52121,c_52119,c_52118,c_52117,c_52116,c_52115,c_52112,c_52109,c_52108,c_52132,c_52106,c_52105,c_52136,c_52087,c_52086,c_52085,c_71212,c_71209,c_71199,c_71200,c_71203,c_71202,c_71185,c_71186,c_71189,c_71188,c_51606,c_51605,c_51604,c_51603,c_51602,c_51599,c_51598,c_51597,c_51596,c_51595,c_51594,c_51593,c_51586,c_51585,c_51584,c_51577,c_51575,c_51574,c_51573,c_51570,c_51568,c_51567,c_51565,c_51564,c_51563,c_51561,c_51559,c_51558,c_51557,c_51556,c_51555,c_51552,c_51549,c_51548,c_51572,c_51546,c_51545,c_51576,c_51527,c_51526,c_51525,c_66083,c_66080,c_66070,c_66071,c_66074,c_66073,c_66057,c_66058,c_66061,c_66060,c_51228,c_51227,c_51226,c_51225,c_51216,c_51215,c_51204,c_51203,c_51202,c_51197,c_51196,c_51188,c_51187,c_51177,c_51174,c_51169,c_51166,c_56701,c_51160,c_51159,c_51155,c_51153,c_51152,c_51151,c_51148,c_51146,c_51145,c_51144,c_51143,c_51142,c_51141,c_51123,c_51122,c_51121,c_50728,c_50727,c_50726,c_50725,c_50724,c_50721,c_50720,c_50719,c_50718,c_50717,c_50716,c_50715,c_50708,c_50707,c_50706,c_50699,c_50697,c_50695,c_50692,c_50690,c_50689,c_50687,c_50686,c_50683,c_50681,c_50680,c_50679,c_50678,c_50677,c_50674,c_50671,c_50670,c_50694,c_50668,c_50667,c_50649,c_50648,c_50647,c_50631,c_50520,c_50519,c_50517,c_50516,c_50512,c_50494,c_50493,c_50491,c_50490,c_50486,c_50464,c_50463,c_50461,c_50460,c_50454,c_50396,c_50395,c_50393,c_50392,c_50363,c_50358,c_50357,c_50355,c_50354,c_50348,c_50337,c_50328,c_50327,c_50325,c_50324,c_50323,c_50321,c_50309,c_50300,c_50299,c_50297,c_50296,c_50295,c_50293,c_50250,c_50249,c_50248,c_50247,c_50246,c_50245,c_50244,c_50243,c_50242,c_50241,c_50240,c_50231,c_132974,c_49870,c_49869,c_49868,c_49867,c_49866,c_49865,c_49863,c_49862,c_49861,c_49859,c_49115,c_49114,c_49113,c_49112,c_49110,c_49107,c_49106,c_49105,c_49104,c_49103,c_49102,c_49092,c_49080,c_49079,c_49078,c_49075,c_49074,c_49066,c_49064,c_49063,c_49062,c_49061,c_49059,c_49056,c_49054,c_49053,c_49050,c_49049,c_49048,c_49047,c_49046,c_49043,c_49042,c_49040,c_49039,c_49038,c_49035,c_49033,c_49032,c_49031,c_49030,c_49029,c_49028,c_49025,c_49024,c_49065,c_49081,c_49018,c_49010,c_49009,c_49008,c_48981,c_48980,c_48978,c_48977,c_48973,c_48950,c_48918,c_48915,c_48914,c_48911,c_48905,c_48904,c_48903,c_48902,c_48901,c_48900,c_48899,c_48896,c_48741,c_48739,c_48734,c_48733,c_48731,c_48726,c_48738,c_48722,c_48696,c_132975,c_48570,c_48568,c_48551,c_48549,c_48548,c_48546,c_48544,c_48540,c_48516,c_48515,c_48513,c_48512,c_48506,c_48430,c_48429,c_48427,c_48426,c_48271,c_48268,c_48266,c_48265,c_48263,c_48262,c_48256,c_48161,c_48160,c_48158,c_48157,c_48085,c_48084,c_48082,c_48081,c_47813,c_47812,c_47811,c_47810,c_47809,c_47808,c_47805,c_47804,c_47802,c_47799,c_47793,c_47783,c_47781,c_47780,c_47778,c_47801,c_47776,c_47800,c_47772,c_47709,c_47708,c_47706,c_47705,c_47698,c_47697,c_47684,c_47683,c_47682,c_47681,c_47679,c_47678,c_47677,c_47676,c_47675,c_47673,c_47668,c_47667,c_47670,c_47669,c_47648,c_47647,c_47645,c_47644,c_47385,c_47363,c_47319,c_47318,c_47317,c_47316,c_47315,c_47314,c_47312,c_47309,c_47310,c_47305,c_48917,c_47303,c_47302,c_47301,c_47300,c_47320,c_47308,c_47295,c_47307,c_47294,c_48898,c_47281,c_47280,c_47279,c_47278,c_47276,c_47274,c_47299,c_47313,c_47217,c_47215,c_132960,c_132964,c_132973,c_132972,c_132962,c_132969,c_132968,c_132961,c_132959,c_46970,c_46969,c_46968,c_46967,c_46966,c_46965,c_46964,c_46962,c_46961,c_46959,c_46956,c_46943,c_46940,c_46938,c_46937,c_46935,c_46958,c_46933,c_46957,c_60772,c_46929,c_46908,c_46903,c_46902,c_46900,c_46899,c_46871,c_46870,c_46868,c_46867,c_46728,c_46721,c_46720,c_46718,c_46717,c_46633,c_46632,c_46628,c_46627,c_46625,c_46624,c_46594,c_46564,c_46563,c_46562,c_46561,c_46560,c_46448,c_46447,c_46446,c_46445,c_46444,c_46253,c_46248,c_46234,c_46233,c_46232,c_46231,c_46230,c_46229,c_46228,c_46226,c_46225,c_46224,c_46223,c_46221,c_46217,c_46216,c_46210,c_46209,c_46208,c_46207,c_46206,c_46205,c_46204,c_46255,c_46202,c_46201,c_46200,c_46199,c_46222,c_46220,c_46196,c_46156,c_46155,c_46153,c_46152,c_46148,c_46137,c_46132,c_46128,c_46124,c_46119,c_46118,c_46116,c_46115,c_46051,c_46024,c_46023,c_46021,c_46020,c_46016,c_46014,c_46013,c_46012,c_46011,c_46010,c_46009,c_46004,c_46003,c_46001,c_46000,c_45999,c_45992,c_45976,c_45975,c_45973,c_45972,c_45968,c_45885,c_45884,c_45875,c_45862,c_45861,c_45856,c_45855,c_45630,c_45629,c_45619,c_45617,c_45615,c_45610,c_45609,c_45607,c_45606,c_45604,c_45601,c_45600,c_45597,c_45594,c_45614,c_45591,c_45590,c_45571,c_45498,c_45497,c_45488,c_45487,c_45485,c_45483,c_45478,c_45477,c_45476,c_45475,c_45474,c_45473,c_45472,c_45469,c_45468,c_45465,c_45462,c_45482,c_45459,c_45458,c_45439,c_81243,c_82438,c_45415,c_45414,c_45412,c_45411,c_45406,c_45329,c_45328,c_45326,c_45325,c_45320,c_45305,c_45304,c_45302,c_45301,c_45296,c_81244,c_82439,c_45269,c_45268,c_45266,c_45265,c_45264,c_45260,c_45039,c_45038,c_45037,c_45035,c_45034,c_45032,c_45030,c_45029,c_45014,c_45013,c_45011,c_45010,c_45005,c_44927,c_44926,c_44924,c_44919,c_44918,c_44916,c_44913,c_44904,c_44902,c_44901,c_44899,c_44915,c_44897,c_44914,c_44893,c_44794,c_44791,c_44783,c_44782,c_44781,c_44780,c_44779,c_44771,c_44770,c_44769,c_44768,c_44767,c_44619,c_44618,c_44616,c_44615,c_44608,c_44607,c_44594,c_44593,c_44592,c_44591,c_44590,c_44589,c_44588,c_44587,c_44586,c_44585,c_44582,c_44579,c_44578,c_44581,c_44580,c_44569,c_44545,c_44539,c_46600,c_46601,c_46604,c_46603,c_44421,c_44419,c_44417,c_44406,c_44405,c_44404,c_44403,c_44276,c_44274,c_44269,c_44268,c_44266,c_44264,c_44261,c_44273,c_44258,c_44257,c_44238,c_44149,c_44148,c_44146,c_44145,c_47251,c_47252,c_47255,c_47254,c_43818,c_43817,c_43816,c_43815,c_43814,c_43813,c_43801,c_43800,c_43799,c_43819,c_43794,c_43776,c_43766,c_43765,c_43764,c_43763,c_43762,c_43761,c_43749,c_43748,c_43747,c_43767,c_43742,c_43735,c_43728,c_43727,c_43726,c_43725,c_43724,c_43723,c_43722,c_43721,c_43773,c_43772,c_43771,c_43770,c_47218,c_47219,c_47222,c_47221,c_43542,c_43541,c_43540,c_43539,c_43538,c_43537,c_43534,c_43532,c_43526,c_43525,c_43524,c_43523,c_43543,c_43518,c_43513,c_43516,c_43515,c_43511,c_43505,c_43500,c_43497,c_43275,c_43274,c_43273,c_43272,c_50260,c_43256,c_43255,c_43247,c_43245,c_43244,c_43243,c_43240,c_43238,c_43237,c_43236,c_43235,c_43234,c_43233,c_43232,c_43231,c_43230,c_43227,c_43226,c_43224,c_43223,c_43242,c_43221,c_43220,c_43218,c_43214,c_43246,c_77446,c_43203,c_43202,c_43201,c_43184,c_43183,c_43182,c_43181,c_43180,c_43161,c_43160,c_43159,c_43158,c_43157,c_43137,c_43134,c_43132,c_43131,c_43129,c_43128,c_43120,c_43119,c_43117,c_43116,c_43101,c_43100,c_43098,c_43097,c_43083,c_43081,c_43080,c_43078,c_43077,c_42366,c_42355,c_42335,c_42338,c_42337,c_42332,c_42331,c_42330,c_42329,c_42327,c_42326,c_42325,c_42324,c_42322,c_42321,c_42320,c_42319,c_42318,c_42315,c_42314,c_42312,c_42311,c_42310,c_42309,c_42308,c_42307,c_42304,c_42305,c_42301,c_42300,c_42298,c_42297,c_42294,c_42293,c_42290,c_42289,c_42288,c_42287,c_42286,c_42285,c_42284,c_42283,c_42282,c_42279,c_42278,c_42277,c_42276,c_42275,c_42274,c_42271,c_42270,c_42269,c_42268,c_42267,c_42266,c_42265,c_42264,c_42195,c_42193,c_42192,c_42191,c_42190,c_42189,c_42188,c_42187,c_42132,c_42130,c_42129,c_42125,c_42124,c_42123,c_42122,c_42121,c_42120,c_42119,c_41926,c_41925,c_41924,c_41923,c_41922,c_41921,c_41917,c_41915,c_41914,c_41913,c_41912,c_56589,c_41910,c_41837,c_41836,c_41835,c_41834,c_41833,c_41832,c_41820,c_41819,c_41818,c_41838,c_41813,c_41795,c_41273,c_41272,c_41271,c_41270,c_41269,c_41268,c_41262,c_41261,c_41256,c_41255,c_41254,c_41274,c_41249,c_41235,c_41234,c_41233,c_41232,c_41231,c_41230,c_41229,c_41227,c_41226,c_41225,c_41224,c_41223,c_41222,c_41219,c_41217,c_41211,c_41210,c_41209,c_41208,c_41228,c_41203,c_41198,c_41201,c_41200,c_41196,c_41190,c_41185,c_41281,c_41280,c_41279,c_41278,c_40973,c_40972,c_40971,c_40970,c_40969,c_40968,c_40956,c_40955,c_40954,c_40974,c_40949,c_40931,c_40919,c_40918,c_40917,c_40916,c_40915,c_40914,c_40902,c_40901,c_40900,c_40920,c_40895,c_40888,c_40881,c_40880,c_40879,c_40878,c_40877,c_40876,c_40928,c_40927,c_40926,c_40925,c_40853,c_40843,c_40829,c_40825,c_40815,c_40814,c_40813,c_40812,c_40811,c_40810,c_40806,c_40803,c_40801,c_40787,c_40768,c_40765,c_40748,c_40746,c_40745,c_40744,c_40730,c_40750,c_40704,c_40728,c_40743,c_40638,c_40637,c_40636,c_40635,c_40634,c_40633,c_40632,c_40631,c_40630,c_40629,c_40628,c_40627,c_40626,c_40625,c_40624,c_40622,c_40619,c_40611,c_40614,c_40604,c_40598,c_40584,c_40583,c_40581,c_40580,c_40564,c_40563,c_40561,c_40560,c_40547,c_40536,c_40535,c_40532,c_40531,c_40529,c_40528,c_40526,c_40524,c_40515,c_40504,c_40503,c_40500,c_40499,c_40497,c_40496,c_40494,c_40492,c_40481,c_40480,c_40478,c_40477,c_40434,c_40433,c_40431,c_40430,c_40417,c_40413,c_40409,c_40406,c_40403,c_40400,c_40399,c_40397,c_40396,c_40394,c_40392,c_40371,c_40367,c_40363,c_40360,c_40357,c_40354,c_40353,c_40351,c_40350,c_40348,c_40346,c_40153,c_40152,c_40151,c_40150,c_40149,c_40148,c_40145,c_40143,c_40137,c_40136,c_40135,c_40134,c_40154,c_40129,c_40124,c_40127,c_40126,c_40122,c_40116,c_40111,c_40033,c_40032,c_40031,c_40030,c_40029,c_40028,c_40016,c_40015,c_40014,c_40034,c_40009,c_40002,c_39991,c_39630,c_39629,c_39628,c_39627,c_39626,c_39625,c_39619,c_39618,c_39613,c_39612,c_39611,c_39631,c_39606,c_39592,c_39591,c_39590,c_39589,c_39588,c_39587,c_39586,c_39584,c_39583,c_39582,c_39581,c_39580,c_39579,c_39576,c_39573,c_39572,c_39574,c_39568,c_39567,c_39566,c_39565,c_39585,c_39560,c_39555,c_39558,c_39557,c_39553,c_39547,c_39542,c_39663,c_39662,c_39661,c_39660,c_39459,c_39457,c_39449,c_39445,c_39444,c_39443,c_39440,c_39439,c_39236,c_39235,c_39233,c_39232,c_39227,c_39226,c_39215,c_39214,c_39212,c_39209,c_39207,c_39206,c_39204,c_39203,c_39200,c_39199,c_39198,c_39193,c_39192,c_39191,c_39189,c_39188,c_39187,c_39186,c_39185,c_39184,c_39202,c_39180,c_38981,c_38980,c_38978,c_38977,c_38966,c_38965,c_38964,c_38963,c_38962,c_38961,c_38960,c_38959,c_38958,c_38957,c_38956,c_38949,c_38948,c_38951,c_38950,c_38743,c_38742,c_38740,c_38739,c_38722,c_38721,c_38720,c_38719,c_38718,c_38717,c_38716,c_38714,c_38713,c_38712,c_38711,c_38709,c_38705,c_38702,c_38696,c_38695,c_38694,c_38693,c_38692,c_38691,c_38690,c_38741,c_38688,c_38687,c_38686,c_38685,c_38710,c_38708,c_38682,c_38658,c_38657,c_38655,c_38654,c_38632,c_38631,c_38629,c_38628,c_46113,c_38611,c_38610,c_38608,c_38607,c_38583,c_38575,c_38574,c_38573,c_38572,c_38571,c_38570,c_38569,c_38566,c_38517,c_38516,c_38515,c_38514,c_38513,c_38512,c_38511,c_38510,c_38509,c_38508,c_38507,c_38506,c_38505,c_38470,c_38469,c_38468,c_38467,c_38466,c_38465,c_38453,c_38452,c_38451,c_38471,c_38446,c_38428,c_38422,c_38269,c_38247,c_38246,c_38244,c_38243,c_38241,c_38239,c_38233,c_38232,c_38231,c_38230,c_38229,c_38228,c_38227,c_38226,c_38225,c_38224,c_38216,c_38215,c_38218,c_38217,c_37965,c_37916,c_37915,c_37913,c_37912,c_37910,c_37908,c_37895,c_37894,c_37893,c_37892,c_37891,c_37890,c_37889,c_37887,c_37886,c_37885,c_37884,c_37882,c_37878,c_37875,c_37869,c_37868,c_37867,c_37866,c_37865,c_37864,c_37863,c_37914,c_37861,c_37860,c_37859,c_37858,c_37883,c_37881,c_37855,c_37830,c_37829,c_37828,c_37827,c_37826,c_37825,c_37757,c_37756,c_37755,c_37754,c_37753,c_37752,c_37747,c_37726,c_37725,c_37724,c_37723,c_37722,c_37719,c_37402,c_37401,c_37399,c_37398,c_37393,c_37392,c_37381,c_37380,c_37379,c_37378,c_37377,c_37376,c_37375,c_37373,c_37372,c_37371,c_37370,c_37368,c_37364,c_37355,c_37354,c_37352,c_37349,c_37347,c_37346,c_37345,c_37344,c_37369,c_37367,c_37341,c_37320,c_37319,c_37317,c_37316,c_37290,c_37288,c_37284,c_37273,c_37120,c_37119,c_37116,c_37115,c_37114,c_37113,c_37112,c_37111,c_37110,c_37109,c_37108,c_37107,c_37106,c_37105,c_37104,c_37103,c_37102,c_37101,c_37100,c_37097,c_37099,c_37022,c_37021,c_37020,c_37019,c_37018,c_37017,c_37016,c_37013,c_36984,c_36859,c_36834,c_36833,c_36831,c_36826,c_36818,c_36813,c_36664,c_36663,c_36662,c_36661,c_36660,c_36657,c_36655,c_36654,c_36651,c_36650,c_36648,c_36647,c_36646,c_36645,c_36644,c_36643,c_36642,c_36639,c_36638,c_36641,c_36640,c_36591,c_36589,c_36588,c_36587,c_36586,c_36585,c_36569,c_36565,c_36564,c_36563,c_36557,c_36519,c_36518,c_36517,c_36516,c_36515,c_36457,c_36454,c_36452,c_36451,c_36449,c_36448,c_36440,c_36439,c_36437,c_36436,c_36424,c_36420,c_36417,c_36414,c_36409,c_36408,c_36407,c_36406,c_36405,c_36300,c_36299,c_36296,c_36295,c_36274,c_36273,c_36272,c_36271,c_36270,c_36267,c_36216,c_36213,c_36212,c_36210,c_36209,c_36153,c_36152,c_36150,c_36149,c_36148,c_36147,c_36077,c_36076,c_36074,c_36073,c_35847,c_35846,c_35844,c_35843,c_35837,c_35836,c_35834,c_35833,c_35832,c_35829,c_35828,c_35827,c_35826,c_35821,c_35820,c_35819,c_35818,c_35817,c_35816,c_35815,c_35814,c_35811,c_35810,c_35809,c_35808,c_35807,c_35831,c_35805,c_35804,c_35802,c_35799,c_35830,c_35835,c_35789,c_35788,c_35509,c_35508,c_35507,c_35506,c_35505,c_35504,c_35503,c_35487,c_35486,c_35485,c_35484,c_35481,c_35478,c_35474,c_35473,c_35470,c_35469,c_35468,c_35466,c_35464,c_35463,c_35462,c_35460,c_35459,c_35458,c_35456,c_35455,c_35454,c_35453,c_35452,c_35451,c_35450,c_35467,c_35446,c_35445,c_35477,c_35439,c_35435,c_35427,c_35426,c_35188,c_35186,c_35185,c_35184,c_35183,c_35182,c_35181,c_35180,c_35179,c_35178,c_35177,c_35176,c_35175,c_35174,c_35171,c_35170,c_35169,c_35168,c_35167,c_35166,c_35165,c_35164,c_35163,c_35162,c_35161,c_35160,c_35159,c_35158,c_35157,c_35155,c_35154,c_35152,c_35149,c_35148,c_35151,c_35150,c_36819,c_34845,c_34844,c_34842,c_34841,c_34840,c_34837,c_34835,c_34833,c_34832,c_34831,c_34830,c_34829,c_34826,c_34825,c_34820,c_34819,c_34818,c_34817,c_34816,c_34815,c_34803,c_34802,c_34822,c_34821,c_34796,c_34794,c_34782,c_34781,c_34780,c_34779,c_34663,c_34659,c_34658,c_34657,c_34656,c_34651,c_34645,c_34662,c_34637,c_34635,c_34634,c_34630,c_34624,c_34623,c_34622,c_34621,c_34620,c_34641,c_34655,c_34379,c_34377,c_34376,c_34374,c_34373,c_34368,c_34367,c_34364,c_34357,c_34356,c_34354,c_34351,c_34349,c_34348,c_34346,c_34345,c_34342,c_34341,c_34340,c_34338,c_34337,c_34336,c_34334,c_34333,c_34332,c_34331,c_34330,c_34329,c_34344,c_34325,c_34122,c_34121,c_34119,c_34118,c_34108,c_34107,c_34106,c_34105,c_34104,c_34103,c_34102,c_34101,c_34100,c_34099,c_34093,c_34092,c_34095,c_34094,c_33821,c_33820,c_33818,c_33817,c_33812,c_33811,c_33808,c_33801,c_33800,c_33799,c_33798,c_33797,c_33796,c_33795,c_33793,c_33792,c_33791,c_33790,c_33788,c_33784,c_33783,c_33782,c_33781,c_33775,c_33774,c_33773,c_33772,c_33771,c_33770,c_33769,c_33819,c_33767,c_33766,c_33765,c_33764,c_33789,c_33787,c_33761,c_33526,c_33523,c_33518,c_33514,c_33498,c_33492,c_33491,c_33489,c_33488,c_33486,c_33484,c_33478,c_33477,c_33476,c_33475,c_33474,c_33473,c_33472,c_33471,c_33470,c_33469,c_33463,c_33462,c_33465,c_33464,c_33274,c_33269,c_33248,c_33244,c_33240,c_33214,c_33213,c_33211,c_33210,c_33208,c_33206,c_33205,c_33204,c_33201,c_33194,c_33193,c_33192,c_33191,c_33190,c_33189,c_33188,c_33186,c_33185,c_33184,c_33183,c_33181,c_33177,c_33176,c_33175,c_33174,c_33168,c_33167,c_33166,c_33165,c_33164,c_33163,c_33162,c_33212,c_33160,c_33159,c_33158,c_33157,c_33182,c_33180,c_33154,c_32909,c_32907,c_32906,c_32904,c_32903,c_32898,c_32897,c_32894,c_32887,c_32886,c_32884,c_32881,c_32879,c_32878,c_32876,c_32874,c_32870,c_32869,c_32868,c_32861,c_32860,c_32858,c_32855,c_32853,c_32852,c_32850,c_32875,c_32873,c_32847,c_32830,c_32829,c_32827,c_32826,c_32819,c_32821,c_32796,c_32787,c_32786,c_32784,c_32783,c_32776,c_32778,c_32654,c_32653,c_32648,c_32646,c_32643,c_32641,c_32636,c_32631,c_32628,c_32627,c_32626,c_32625,c_32619,c_32640,c_32615,c_32597,c_32433,c_32432,c_32431,c_32430,c_32429,c_32428,c_32416,c_32415,c_32414,c_32434,c_32409,c_32395,c_32092,c_32086,c_32085,c_32077,c_32046,c_32045,c_32044,c_32043,c_32042,c_32041,c_32038,c_32036,c_32030,c_32029,c_32028,c_32027,c_32047,c_32022,c_32017,c_32020,c_32019,c_32015,c_32009,c_32008,c_32006,c_32049,c_32048,c_31973,c_31972,c_31970,c_31969,c_31962,c_31961,c_31964,c_31963,c_31939,c_31938,c_31936,c_31935,c_31908,c_31907,c_31905,c_31904,c_31898,c_31695,c_31693,c_31692,c_31691,c_31690,c_31689,c_31688,c_31687,c_31686,c_31685,c_31683,c_31682,c_31681,c_31680,c_31679,c_31678,c_31677,c_31672,c_31671,c_31674,c_31673,c_31659,c_31658,c_31656,c_31655,c_31635,c_31634,c_31632,c_31631,c_31579,c_31578,c_31581,c_31580,c_31561,c_31560,c_31559,c_31558,c_31557,c_31556,c_31555,c_31552,c_47253,c_132930,c_40739,c_31467,c_31466,c_31464,c_31463,c_31456,c_31455,c_31458,c_31457,c_31439,c_31414,c_31215,c_31217,c_31211,c_31210,c_31209,c_31208,c_31188,c_31187,c_31185,c_31183,c_31178,c_31177,c_31174,c_31173,c_31172,c_31170,c_31169,c_31164,c_31163,c_31161,c_31160,c_31182,c_31158,c_31157,c_31147,c_31145,c_31121,c_31085,c_31084,c_31082,c_31080,c_31077,c_31076,c_31079,c_31062,c_30924,c_30923,c_30922,c_30921,c_30920,c_30919,c_30918,c_30916,c_30915,c_30913,c_30912,c_30911,c_30910,c_30905,c_30907,c_47220,c_132929,c_40735,c_30781,c_30780,c_30779,c_30778,c_30777,c_30776,c_30775,c_30774,c_30773,c_30772,c_30771,c_30770,c_30769,c_30764,c_30766,c_30759,c_30714,c_30713,c_30711,c_30710,c_30546,c_30544,c_30543,c_30542,c_30541,c_30539,c_30538,c_30531,c_30530,c_30529,c_30528,c_30527,c_30526,c_30525,c_30524,c_30521,c_30518,c_30517,c_30520,c_30519,c_30315,c_30314,c_30311,c_30309,c_30308,c_30307,c_30306,c_30305,c_30304,c_30303,c_30300,c_30234,c_30233,c_30230,c_30228,c_30227,c_30226,c_30225,c_30224,c_30223,c_30222,c_30219,c_30169,c_30168,c_30167,c_30166,c_30164,c_30163,c_30162,c_30161,c_30160,c_30159,c_30022,c_30017,c_30016,c_30015,c_30014,c_30013,c_30012,c_30011,c_30009,c_30008,c_30007,c_30006,c_30004,c_30003,c_29992,c_29991,c_29989,c_29988,c_29944,c_29923,c_29922,c_29925,c_29924,c_29914,c_29905,c_29904,c_29903,c_29902,c_29901,c_29900,c_29899,c_29896,c_29895,c_31058,c_44551,c_44552,c_44555,c_44554,c_29564,c_29563,c_29562,c_29561,c_29555,c_29554,c_29553,c_29549,c_29543,c_29541,c_29533,c_29530,c_29527,c_29526,c_29525,c_29524,c_29522,c_29519,c_29518,c_29516,c_29515,c_29538,c_29513,c_29512,c_29502,c_29501,c_29500,c_29336,c_29335,c_29334,c_29333,c_29329,c_29328,c_29310,c_29302,c_29299,c_29297,c_29296,c_29291,c_29288,c_29283,c_29282,c_29278,c_29277,c_29276,c_29275,c_29274,c_29268,c_29266,c_29264,c_29255,c_29254,c_29253,c_29252,c_29068,c_29067,c_29066,c_29065,c_29062,c_29059,c_29058,c_29053,c_29045,c_29037,c_29034,c_29031,c_29030,c_29029,c_29028,c_29026,c_29023,c_29022,c_29020,c_29019,c_29042,c_29017,c_29016,c_29006,c_29005,c_29004,c_28959,c_28958,c_28957,c_28956,c_28955,c_28954,c_28942,c_28941,c_28940,c_28960,c_28935,c_28908,c_28857,c_28856,c_28855,c_28852,c_28851,c_28850,c_28849,c_28848,c_28847,c_28846,c_28844,c_28843,c_28842,c_28841,c_28839,c_28838,c_28655,c_28654,c_28652,c_28649,c_28647,c_28646,c_28644,c_28640,c_28639,c_28638,c_28637,c_28636,c_28633,c_28632,c_28630,c_28627,c_28625,c_28624,c_28622,c_28643,c_28641,c_28619,c_28617,c_28616,c_28613,c_28611,c_28610,c_28608,c_28607,c_28606,c_28642,c_28603,c_28551,c_28550,c_28549,c_28548,c_28547,c_28546,c_28545,c_28544,c_28543,c_28542,c_28541,c_28537,c_28536,c_28539,c_28538,c_28522,c_28521,c_28519,c_28518,c_28505,c_28504,c_28502,c_28501,c_36820,c_31086,c_28095,c_28094,c_28093,c_28092,c_28089,c_28088,c_28078,c_28077,c_28072,c_28065,c_28062,c_28060,c_28059,c_28054,c_28051,c_28046,c_28045,c_28041,c_28040,c_28039,c_28038,c_28037,c_28031,c_28029,c_28027,c_28019,c_28018,c_28017,c_28016,c_27794,c_27792,c_27791,c_27790,c_27789,c_27788,c_27787,c_27786,c_27781,c_27780,c_27779,c_27778,c_27777,c_27776,c_27775,c_27774,c_27772,c_27769,c_27768,c_27771,c_27770,c_27640,c_27638,c_27637,c_27636,c_27635,c_27634,c_27633,c_27632,c_27631,c_31073,c_27550,c_27548,c_27547,c_27546,c_27545,c_27544,c_27543,c_27542,c_27541,c_27507,c_27506,c_27495,c_27489,c_27463,c_27462,c_27461,c_27460,c_27459,c_27458,c_27456,c_27455,c_27454,c_27451,c_27450,c_27453,c_27448,c_27447,c_27446,c_27445,c_27444,c_27464,c_27439,c_27434,c_27437,c_27436,c_27432,c_27426,c_27457,c_27412,c_27411,c_27409,c_27334,c_27333,c_27332,c_27329,c_27328,c_27327,c_27326,c_27325,c_27324,c_27323,c_27321,c_27320,c_27319,c_27318,c_27316,c_27315,c_40716,c_40736,c_40818,c_44408,c_40733,c_44407,c_44410,c_44409,c_40823,c_27215,c_27214,c_27213,c_27210,c_27209,c_27208,c_27207,c_27206,c_27205,c_27204,c_27202,c_27201,c_27200,c_27199,c_27197,c_27196,c_27013,c_27012,c_27010,c_27007,c_27005,c_27004,c_27002,c_26998,c_26995,c_26992,c_26991,c_26989,c_26986,c_26984,c_26983,c_26981,c_27001,c_26999,c_26978,c_26975,c_26973,c_26972,c_26970,c_26969,c_26968,c_27000,c_26966,c_26941,c_26938,c_26936,c_26935,c_26933,c_26932,c_26925,c_26924,c_26922,c_26921,c_26897,c_26896,c_26894,c_26893,c_40721,c_26815,c_26812,c_26810,c_26809,c_26807,c_26806,c_26801,c_26800,c_26798,c_26797,c_26795,c_26794,c_26777,c_26775,c_26773,c_26733,c_26730,c_26728,c_26727,c_26725,c_26724,c_26718,c_26717,c_26715,c_26714,c_26678,c_26677,c_26676,c_26675,c_26674,c_26673,c_26672,c_26669,c_26652,c_26651,c_26649,c_26648,c_26646,c_26645,c_26629,c_26613,c_26611,c_26603,c_26594,c_26593,c_26592,c_26591,c_26590,c_26589,c_26588,c_26585,c_26584,c_40714,c_26483,c_26481,c_26478,c_26476,c_26475,c_26470,c_26469,c_26467,c_26466,c_26464,c_26480,c_26461,c_26460,c_26435,c_26434,c_26432,c_26431,c_26399,c_26398,c_26397,c_26396,c_26395,c_26394,c_26393,c_26390,c_26377,c_26370,c_26367,c_26363,c_26360,c_26356,c_26355,c_26353,c_26352,c_26347,c_26346,c_26345,c_26343,c_26342,c_26318,c_26317,c_26315,c_26314,c_26260,c_26256,c_26252,c_26248,c_26236,c_26227,c_26226,c_26225,c_26224,c_26223,c_26222,c_26221,c_26218,c_26217,c_26206,c_26205,c_26203,c_26202,c_26187,c_26186,c_26184,c_26183,c_26323,c_26320,c_26326,c_36987,c_36988,c_36991,c_36990,c_26137,c_26136,c_26134,c_26133,c_26081,c_26079,c_26072,c_26071,c_26068,c_26066,c_26065,c_26063,c_26061,c_26059,c_26049,c_26048,c_26046,c_26045,c_26034,c_26033,c_26031,c_26030,c_26267,c_26264,c_31129,c_31118,c_26244,c_31081,c_31074,c_36832,c_31060,c_36823,c_36822,c_36821,c_36817,c_36814,c_31052,c_25925,c_25924,c_25921,c_25919,c_25916,c_25914,c_25913,c_25912,c_25911,c_25910,c_25909,c_25907,c_25906,c_25904,c_25918,c_25901,c_25900,c_56340,c_25734,c_25733,c_25732,c_25731,c_25729,c_25728,c_25727,c_25726,c_25725,c_25724,c_25723,c_25719,c_25717,c_25716,c_25715,c_25712,c_25710,c_25709,c_25708,c_25707,c_25706,c_25701,c_25700,c_25699,c_25698,c_25695,c_25694,c_25692,c_25691,c_25714,c_25689,c_25688,c_25686,c_25684,c_25718,c_25680,c_25679,c_25678,c_25643,c_25642,c_25641,c_25640,c_25639,c_25638,c_25626,c_25625,c_25624,c_25644,c_25619,c_25596,c_25592,c_25578,c_25571,c_25561,c_25560,c_25559,c_25558,c_25557,c_25556,c_25553,c_25551,c_25545,c_25544,c_25543,c_25542,c_25562,c_25537,c_25532,c_25535,c_25534,c_25530,c_25524,c_25470,c_25467,c_25462,c_25461,c_25460,c_25459,c_25458,c_25456,c_25455,c_25454,c_25453,c_25437,c_25413,c_25412,c_25411,c_25410,c_25409,c_25408,c_25407,c_25406,c_25405,c_25404,c_25403,c_25402,c_25401,c_25396,c_25395,c_25393,c_25356,c_25355,c_25354,c_25353,c_25352,c_25351,c_25350,c_25349,c_25340,c_25339,c_25337,c_25336,c_25322,c_25318,c_25315,c_25312,c_25311,c_25310,c_25308,c_25307,c_31608,c_31609,c_31612,c_31611,c_25057,c_25056,c_25055,c_25054,c_25053,c_25052,c_25051,c_25047,c_25046,c_25045,c_25039,c_25037,c_25035,c_25030,c_25029,c_25026,c_25025,c_25024,c_25023,c_25022,c_25021,c_25020,c_25018,c_25015,c_25014,c_25012,c_25011,c_25034,c_25009,c_25008,c_25000,c_24998,c_31128,c_31089,c_31088,c_31087,c_31072,c_31071,c_31070,c_31090,c_31063,c_31065,c_31083,c_100344,c_31045,c_40592,c_24935,c_24934,c_24932,c_24931,c_24918,c_24917,c_24915,c_24914,c_24841,c_24840,c_24839,c_24838,c_24837,c_24836,c_24824,c_24823,c_24822,c_24842,c_24817,c_24787,c_24786,c_24785,c_24783,c_24782,c_24734,c_24730,c_24716,c_24709,c_24699,c_24698,c_24697,c_24696,c_24695,c_24694,c_24691,c_24689,c_24683,c_24682,c_24681,c_24680,c_24700,c_24675,c_24670,c_24673,c_24672,c_24668,c_24662,c_24540,c_24539,c_24538,c_24537,c_24536,c_24535,c_24534,c_24533,c_24532,c_24531,c_24530,c_24529,c_24527,c_24526,c_24524,c_24521,c_24518,c_24516,c_24515,c_24513,c_24523,c_24511,c_24522,c_24509,c_24429,c_24428,c_24427,c_24426,c_24425,c_24424,c_24423,c_24422,c_24421,c_24420,c_24419,c_24417,c_24132,c_24131,c_24130,c_24129,c_24128,c_24125,c_24124,c_24122,c_24121,c_24119,c_24117,c_24112,c_24111,c_24108,c_24107,c_24106,c_24105,c_24104,c_24102,c_24101,c_24098,c_24097,c_24095,c_24094,c_24116,c_24092,c_24091,c_24084,c_24083,c_24081,c_24056,c_24055,c_24053,c_24052,c_24051,c_24050,c_24049,c_24044,c_24043,c_23771,c_23770,c_23769,c_23768,c_23767,c_23764,c_23763,c_23761,c_23760,c_23758,c_23756,c_23751,c_23750,c_23747,c_23746,c_23745,c_23744,c_23743,c_23741,c_23740,c_23737,c_23736,c_23734,c_23733,c_23755,c_23731,c_23730,c_23723,c_23722,c_23720,c_23663,c_23662,c_23661,c_23660,c_23659,c_23658,c_23657,c_23656,c_23655,c_23654,c_23653,c_23652,c_23632,c_23631,c_23629,c_23628,c_23546,c_23545,c_23544,c_23543,c_23542,c_23541,c_23529,c_23528,c_23527,c_23547,c_23522,c_23482,c_23481,c_23479,c_23478,c_23472,c_23396,c_23395,c_23394,c_23393,c_23392,c_23391,c_23379,c_23378,c_23377,c_23397,c_23372,c_23370,c_23365,c_23357,c_23301,c_23300,c_23299,c_23298,c_23297,c_23296,c_23295,c_23294,c_23154,c_23150,c_23145,c_23144,c_23142,c_23141,c_23135,c_23134,c_23133,c_23131,c_23130,c_23049,c_23048,c_23047,c_23046,c_23045,c_23044,c_23043,c_23042,c_23016,c_23015,c_23013,c_23012,c_22927,c_22926,c_22925,c_22924,c_22923,c_22922,c_22921,c_22920,c_22919,c_22918,c_22917,c_22912,c_22851,c_22850,c_22849,c_22848,c_22847,c_22845,c_22844,c_22843,c_22841,c_22823,c_22822,c_22821,c_22812,c_22811,c_22810,c_22789,c_22788,c_22786,c_22785,c_22693,c_22691,c_22689,c_22685,c_22675,c_22674,c_22673,c_22672,c_22671,c_22670,c_22669,c_22666,c_22664,c_22587,c_22586,c_22585,c_22584,c_22583,c_22582,c_22570,c_22569,c_22568,c_22588,c_22563,c_22478,c_22474,c_22469,c_22468,c_22466,c_22465,c_22460,c_22459,c_22458,c_22456,c_22455,c_22375,c_22374,c_22373,c_22372,c_22371,c_22370,c_22369,c_22368,c_22331,c_22327,c_22325,c_22324,c_22322,c_22321,c_22315,c_22314,c_22312,c_22311,c_22258,c_22257,c_22256,c_22255,c_22254,c_22253,c_22252,c_22251,c_22188,c_22184,c_22179,c_22178,c_22176,c_22175,c_22170,c_22169,c_22168,c_22166,c_22165,c_40723,c_40737,c_40819,c_40710,c_40817,c_22072,c_22071,c_22070,c_22069,c_22068,c_22067,c_22066,c_22065,c_21990,c_21989,c_21988,c_21987,c_21986,c_21985,c_21984,c_21983,c_21909,c_21908,c_21906,c_21905,c_21900,c_21861,c_21860,c_21859,c_21858,c_21856,c_21855,c_21854,c_21852,c_21822,c_21821,c_21819,c_21818,c_21621,c_21620,c_21615,c_21606,c_21605,c_21604,c_21603,c_21602,c_21601,c_21600,c_21597,c_21596,c_21350,c_21349,c_21347,c_21346,c_21345,c_21342,c_21341,c_21340,c_21339,c_21338,c_21337,c_21335,c_21334,c_21332,c_21331,c_21344,c_21329,c_21328,c_21327,c_21343,c_21321,c_21348,c_21319,c_21318,c_21112,c_21111,c_21110,c_21109,c_21108,c_21107,c_21104,c_21102,c_21097,c_21096,c_21095,c_21113,c_21090,c_21085,c_21088,c_21087,c_21083,c_21077,c_21076,c_20941,c_20940,c_20939,c_20938,c_20937,c_20936,c_20935,c_20934,c_20932,c_20844,c_20843,c_20842,c_20841,c_20840,c_20839,c_20838,c_20837,c_20836,c_20305,c_20300,c_20299,c_20297,c_20295,c_20294,c_20293,c_20291,c_20290,c_20289,c_20288,c_20287,c_20285,c_20284,c_20283,c_20282,c_20280,c_20278,c_20277,c_20276,c_20275,c_20274,c_20273,c_20272,c_20271,c_20270,c_20269,c_20302,c_20267,c_20266,c_20265,c_20264,c_20281,c_20279,c_20261,c_20027,c_20026,c_20024,c_20023,c_20002,c_20001,c_20000,c_19998,c_19992,c_20008,c_20007,c_20006,c_20005,c_19985,c_19982,c_19980,c_19979,c_19978,c_19977,c_19975,c_19974,c_19991,c_19929,c_19928,c_19927,c_19926,c_19925,c_19924,c_19923,c_19922,c_19921,c_19920,c_19919,c_19865,c_19864,c_19863,c_19862,c_19861,c_19860,c_19859,c_19858,c_19857,c_19856,c_19855,c_19850,c_19852,c_19815,c_19814,c_19813,c_19812,c_19811,c_19810,c_19808,c_19807,c_19806,c_19804,c_19603,c_19602,c_19601,c_19600,c_19599,c_19598,c_19596,c_19595,c_19594,c_19592,c_19465,c_19464,c_19462,c_19461,c_19417,c_19415,c_19401,c_19400,c_19399,c_19398,c_19397,c_19396,c_19395,c_19392,c_19317,c_19316,c_19314,c_19313,c_19184,c_19183,c_19178,c_19169,c_19168,c_19167,c_19166,c_19165,c_19164,c_19163,c_19160,c_19159,c_19058,c_19057,c_19056,c_19055,c_19054,c_19053,c_19043,c_19042,c_19041,c_19059,c_19036,c_19034,c_19024,c_18493,c_18492,c_18490,c_18489,c_18483,c_18482,c_18480,c_18479,c_18474,c_18473,c_18472,c_18471,c_18469,c_18466,c_18464,c_18463,c_18461,c_18460,c_18459,c_18457,c_18456,c_18455,c_18454,c_18453,c_18451,c_18448,c_18446,c_18445,c_18443,c_18442,c_18458,c_18440,c_18439,c_18420,c_18419,c_18417,c_18416,c_18332,c_18331,c_18330,c_18329,c_18328,c_18327,c_18318,c_18317,c_18316,c_18333,c_18311,c_18259,c_18258,c_18256,c_18255,c_18034,c_18033,c_18032,c_18031,c_18030,c_18029,c_18023,c_18021,c_18020,c_18019,c_18035,c_18014,c_17956,c_17955,c_17953,c_17952,c_17794,c_17793,c_17792,c_17791,c_17790,c_17789,c_17782,c_17781,c_17780,c_17795,c_17775,c_17726,c_17697,c_17696,c_17709,c_17708,c_17706,c_17705,c_17651,c_17650,c_17648,c_17647,c_15807,c_15805,c_15804,c_15802,c_15801,c_15800,c_15799,c_15798,c_15797,c_15795,c_15794,c_15792,c_15791,c_15790,c_15789,c_15788,c_15803,c_15806,c_15781,c_15575,c_15568,c_15567,c_15565,c_15564,c_15559,c_15557,c_15556,c_15555,c_15554,c_15553,c_15552,c_15551,c_15550,c_15549,c_15547,c_15546,c_15544,c_15543,c_15538,c_15537,c_15536,c_15535,c_15534,c_15533,c_15532,c_15531,c_15530,c_15529,c_15528,c_15527,c_15526,c_15525,c_15524,c_15521,c_15520,c_15523,c_15522,c_15484,c_15483,c_15481,c_15480,c_15476,c_15474,c_15473,c_15471,c_15470,c_15466,c_15435,c_15434,c_15432,c_15431,c_15425,c_15424,c_15422,c_15421,c_15417,c_15241,c_15240,c_15239,c_15238,c_15237,c_15234,c_15232,c_15230,c_15229,c_15228,c_15242,c_15223,c_15221,c_15220,c_15218,c_15216,c_15215,c_15040,c_15039,c_15038,c_15037,c_15036,c_15029,c_15028,c_15027,c_15041,c_15022,c_15030,c_14977,c_14976,c_14974,c_14973,c_14957,c_14813,c_14812,c_14811,c_14810,c_14809,c_14804,c_14803,c_14802,c_14814,c_14797,c_14783,c_14778,c_14775,c_14708,c_14707,c_14705,c_14704,c_14693,c_14517,c_14516,c_14515,c_14514,c_14513,c_14509,c_14508,c_14507,c_14518,c_14502,c_14500,c_14489,c_14187,c_14186,c_14184,c_14183,c_14181,c_14180,c_14179,c_14176,c_14175,c_14171,c_14170,c_14168,c_14167,c_14162,c_14158,c_14157,c_14156,c_14151,c_14150,c_14149,c_14147,c_13929,c_13911,c_13910,c_13909,c_13907,c_13906,c_13900,c_13899,c_13897,c_13896,c_13892,c_13866,c_13848,c_13847,c_13846,c_13844,c_13843,c_13837,c_13836,c_13834,c_13833,c_13829,c_13818,c_13817,c_13816,c_13811,c_13696,c_13695,c_13693,c_13692,c_13522,c_13521,c_13520,c_13519,c_13518,c_13517,c_13516,c_13515,c_13514,c_13512,c_13511,c_13510,c_13508,c_12838,c_12837,c_12836,c_12833,c_12832,c_12830,c_12829,c_12827,c_12826,c_12825,c_12822,c_12821,c_12817,c_12816,c_12814,c_12813,c_12810,c_12809,c_12808,c_12807,c_12806,c_12804,c_12802,c_12800,c_12799,c_12798,c_12797,c_12796,c_12795,c_12794,c_12793,c_12823,c_12786,c_12785,c_12661,c_12660,c_12658,c_12657,c_12561,c_12560,c_12530,c_12526,c_12517,c_12516,c_12515,c_12514,c_12513,c_12510,c_12507,c_12506,c_12478,c_12477,c_12475,c_12474,c_12370,c_12369,c_12368,c_12367,c_12366,c_12363,c_12362,c_12361,c_12371,c_12357,c_12356,c_12355,c_12354,c_12352,c_12325,c_12324,c_12323,c_12169,c_12168,c_12167,c_12166,c_12165,c_12164,c_12163,c_12162,c_12161,c_12159,c_12158,c_12157,c_12068,c_12066,c_12043,c_12038,c_12029,c_12028,c_12027,c_12026,c_12025,c_12022,c_12019,c_12017,c_11991,c_11970,c_11969,c_11968,c_11966,c_11965,c_11964,c_11961,c_11960,c_11958,c_11957,c_11955,c_11913,c_11892,c_11891,c_11890,c_11888,c_11887,c_11885,c_11883,c_11882,c_11880,c_11879,c_11877,c_11736,c_11735,c_11734,c_11733,c_11732,c_11731,c_11730,c_11729,c_11727,c_11726,c_11725,c_11724,c_11723,c_11379,c_11378,c_11377,c_11376,c_11375,c_11374,c_11373,c_11372,c_11370,c_11369,c_11368,c_11367,c_11366,c_11355,c_11354,c_11353,c_11348,c_11249,c_11248,c_11246,c_11245,c_11241,c_11224,c_11223,c_11199,c_11198,c_11171,c_11170,c_11168,c_11167,c_11166,c_11090,c_11089,c_11088,c_11087,c_11086,c_11084,c_11083,c_11082,c_11091,c_11077,c_11075,c_11074,c_11072,c_11070,c_10972,c_10971,c_10970,c_10969,c_10968,c_10967,c_10966,c_10965,c_10964,c_10962,c_10961,c_10960,c_10814,c_10813,c_10812,c_10807,c_10806,c_10795,c_10786,c_10783,c_10774,c_10773,c_10772,c_10771,c_10770,c_10767,c_10765,c_10764,c_10741,c_10740,c_10738,c_10737,c_10723,c_10722,c_10721,c_10647,c_10646,c_10645,c_10644,c_10643,c_10642,c_10641,c_10640,c_10639,c_10637,c_10636,c_10635,c_10624,c_10462,c_10458,c_10457,c_10456,c_10455,c_10451,c_10450,c_10449,c_10446,c_10443,c_10439,c_10438,c_10437,c_10433,c_10431,c_10422,c_10421,c_10420,c_10419,c_10418,c_10415,c_10414,c_10412,c_10303,c_10302,c_10301,c_10300,c_10299,c_10298,c_10297,c_10296,c_10295,c_10280,c_10279,c_10278,c_10277,c_10239,c_10238,c_10237,c_10236,c_10235,c_10234,c_10233,c_10232,c_10231,c_10192,c_10191,c_10190,c_10189,c_10109,c_10107,c_10106,c_10105,c_10104,c_10103,c_10102,c_10080,c_10078,c_10077,c_10075,c_10074,c_10031,c_10029,c_10028,c_10026,c_10025,c_9892,c_9891,c_9890,c_9889,c_9888,c_9887,c_9886,c_9885,c_9884,c_9883,c_9882,c_9881,c_9878,c_9877,c_9880,c_9879,c_9757,c_9756,c_9754,c_9753,c_9667,c_9666,c_9664,c_9663,c_9615,c_9614,c_9612,c_9611,c_9553,c_9552,c_9550,c_9549,c_9528,c_9527,c_9525,c_9524,c_9502,c_9501,c_9499,c_9498,c_9297,c_9296,c_9295,c_9294,c_9293,c_9292,c_9291,c_9290,c_9289,c_9288,c_9287,c_9284,c_9283,c_9286,c_9285,c_9262,c_9261,c_9259,c_9258,c_8730,c_8729,c_8728,c_8727,c_8726,c_8725,c_8724,c_8723,c_8722,c_8721,c_8720,c_8719,c_8718,c_8717,c_8716,c_8714,c_8713,c_8712,c_8711,c_8710,c_8709,c_8708,c_8706,c_8705,c_8704,c_8715,c_8702,c_8701,c_8700,c_8699,c_8698,c_8696,c_8695,c_8694,c_8693,c_8691,c_8690,c_8540,c_8538,c_8537,c_8533,c_8532,c_8529,c_8528,c_8527,c_8525,c_8522,c_8521,c_8519,c_8518,c_8517,c_8516,c_8509,c_8508,c_8501,c_8495,c_8314,c_8312,c_8311,c_8307,c_8306,c_8303,c_8302,c_8301,c_8299,c_8296,c_8295,c_8293,c_8292,c_8291,c_8290,c_8283,c_8282,c_8165,c_8164,c_8163,c_8162,c_8161,c_8159,c_8158,c_8157,c_8166,c_8153,c_8152,c_8151,c_8150,c_7658,c_7657,c_7655,c_7654,c_7649,c_7647,c_7643,c_7642,c_7641,c_7639,c_7636,c_7634,c_7633,c_7632,c_7631,c_7630,c_7629,c_7628,c_7626,c_7623,c_7621,c_7620,c_7619,c_7618,c_7617,c_7616,c_7580,c_7579,c_7577,c_7483,c_7482,c_7481,c_7480,c_7479,c_7477,c_7476,c_7475,c_7484,c_7471,c_7470,c_7469,c_7451,c_7450,c_7448,c_7282,c_7281,c_7280,c_7279,c_7278,c_7276,c_7275,c_7274,c_7283,c_7269,c_7267,c_7266,c_7160,c_7159,c_7158,c_7157,c_7156,c_7154,c_7153,c_7152,c_7151,c_7147,c_7145,c_7144,c_7143,c_7142,c_7150,c_7140,c_6993,c_6992,c_6991,c_6990,c_6989,c_6988,c_6987,c_6986,c_6985,c_6979,c_6966,c_6965,c_6963,c_6938,c_6937,c_6892,c_6891,c_6889,c_6888,c_6876,c_26241,c_6619,c_6617,c_6615,c_6614,c_6612,c_6611,c_6609,c_6608,c_6606,c_6605,c_6603,c_6600,c_6598,c_6597,c_6596,c_6595,c_6594,c_6593,c_6592,c_6591,c_6590,c_6589,c_6588,c_6587,c_6584,c_6583,c_6586,c_6585,c_6386,c_6385,c_6383,c_6382,c_6380,c_6379,c_6378,c_6377,c_6375,c_6374,c_6373,c_6372,c_6371,c_6370,c_6264,c_6263,c_6261,c_6260,c_6258,c_6257,c_6256,c_6255,c_6253,c_6252,c_6251,c_6250,c_6249,c_6248,c_6182,c_6181,c_6180,c_6179,c_6177,c_6176,c_6175,c_6183,c_6170,c_6168,c_6167,c_6166,c_6140,c_6139,c_6137,c_6066,c_6065,c_6063,c_5960,c_5959,c_5958,c_5957,c_5955,c_5954,c_5953,c_5961,c_5949,c_5948,c_5947,c_5946,c_5909,c_5908,c_5906,c_5840,c_5839,c_5838,c_5837,c_5835,c_5834,c_5833,c_5841,c_5828,c_5826,c_5825,c_5620,c_5619,c_5618,c_5617,c_5616,c_5614,c_5613,c_5612,c_5611,c_5607,c_5605,c_5604,c_5603,c_5602,c_5610,c_5600,c_5500,c_5499,c_5498,c_5497,c_5496,c_5495,c_5494,c_5493,c_5492,c_5486,c_5477,c_5476,c_5457,c_5456,c_5454,c_5387,c_5386,c_5384,c_5361,c_5360,c_5358,c_5157,c_5156,c_5155,c_5154,c_5153,c_5152,c_5150,c_5149,c_5148,c_5147,c_5146,c_5145,c_5143,c_5142,c_5140,c_5138,c_5137,c_5135,c_5134,c_5133,c_5129,c_5128,c_5131,c_5130,c_5000,c_4999,c_4997,c_4996,c_4995,c_4994,c_4993,c_4992,c_4991,c_4989,c_4988,c_4987,c_4986,c_4985,c_4984,c_4825,c_4824,c_4822,c_4821,c_4820,c_4819,c_4818,c_4817,c_4816,c_4814,c_4813,c_4812,c_4811,c_4810,c_4809,c_4684,c_4683,c_4686,c_4685,c_4678,c_4673,c_4670,c_4669,c_4664,c_4663,c_4661,c_4654,c_24054,c_4549,c_4548,c_4547,c_4545,c_4544,c_4543,c_4550,c_4538,c_4535,c_4534,c_4345,c_4344,c_4338,c_4335,c_4334,c_4332,c_4331,c_4329,c_4328,c_4327,c_4326,c_4325,c_4342,c_4318,c_4227,c_4225,c_4224,c_4223,c_4222,c_4221,c_4218,c_4217,c_4220,c_4219,c_4128,c_4127,c_4126,c_4125,c_4123,c_4122,c_4121,c_4120,c_4118,c_4117,c_4116,c_4124,c_4114,c_4113,c_4112,c_4111,c_4110,c_4109,c_4108,c_4107,c_3923,c_3922,c_3921,c_3918,c_3916,c_3913,c_3912,c_3911,c_3910,c_3909,c_3906,c_3905,c_3904,c_3903,c_3920,c_3896,c_3885,c_3884,c_3876,c_3875,c_3859,c_3858,c_3856,c_3852,c_3854,c_3720,c_3719,c_3716,c_3715,c_3713,c_3712,c_3711,c_3710,c_3709,c_3707,c_3706,c_3705,c_3704,c_3663,c_3662,c_3661,c_3660,c_3542,c_3541,c_3540,c_3536,c_3534,c_3533,c_3532,c_3531,c_3530,c_3529,c_3527,c_3526,c_3525,c_3524,c_3523,c_3539,c_3516,c_3398,c_3397,c_3396,c_3393,c_3392,c_3389,c_3388,c_3387,c_3386,c_3385,c_3382,c_3381,c_3380,c_3379,c_3395,c_3372,c_3349,c_3335,c_3135,c_3134,c_3131,c_3130,c_3133,c_3132,c_3127,c_3126,c_3123,c_3122,c_3120,c_3119,c_3118,c_3117,c_3116,c_3113,c_3112,c_3110,c_3125,c_3103,c_3001,c_3000,c_2998,c_2997,c_2996,c_2995,c_2993,c_2992,c_2991,c_2999,c_2989,c_2988,c_2986,c_2985,c_2939,c_2938,c_2937,c_2935,c_2934,c_2933,c_2940,c_2928,c_2925,c_2927,c_2936,c_2914,c_2907,c_2868,c_2865,c_2864,c_2862,c_2861,c_2860,c_2858,c_2857,c_2856,c_2863,c_2854,c_2853,c_2852,c_2851,c_2850,c_2770,c_2769,c_2768,c_2766,c_2763,c_2762,c_2765,c_2764,c_2682,c_2681,c_2680,c_2678,c_2687,c_2686,c_2685,c_2684,c_2539,c_2538,c_2537,c_2536,c_2534,c_2533,c_2532,c_2531,c_2530,c_2529,c_2535,c_2527,c_2526,c_2423,c_2421,c_2420,c_2419,c_2426,c_2415,c_2422,c_2413,c_2412,c_2411,c_2408,c_2407,c_2410,c_2409,c_2302,c_2301,c_2300,c_2299,c_2297,c_2296,c_2295,c_2294,c_2293,c_2292,c_2298,c_2290,c_2289,c_149143,c_21949,c_2193,c_2192,c_2191,c_2190,c_2188,c_2187,c_2186,c_2185,c_2184,c_2183,c_2189,c_2181,c_2180,c_2156,c_2114,c_2112,c_2111,c_2109,c_2108,c_2107,c_2113,c_26330,c_20803,c_2045,c_2042,c_2043,c_2040,c_2046,c_2013,c_1961,c_1959,c_1958,c_1957,c_1956,c_1955,c_1960,c_1906,c_1905,c_1904,c_1855,c_1854,c_1851,c_1850,c_1849,c_1826,c_1825,c_1824,c_1823,c_1822,c_1807,c_1806,c_1805,c_1804,c_1765,c_1764,c_1763,c_1762,c_1761,c_1760,c_1736,c_1735,c_1734,c_1733,c_1732,c_1731,c_1681,c_1680,c_1679,c_1682,c_32792,c_1589,c_1588,c_1587,c_1586,c_1585,c_1584,c_1582,c_1581,c_1580,c_1579,c_1555,c_1554,c_1553,c_1552,c_1530,c_1529,c_1497,c_1496,c_1493,c_1494,c_1491,c_1477,c_1476,c_1463,c_1462,c_1461,c_1440,c_1439,c_1438,c_1437,c_1436,c_1424,c_1414,c_1413,c_1412,c_1405,c_1402,c_1390,c_1387,c_1376,c_1375,c_1373,c_1353,c_1351,c_1340,c_1703,c_530,c_519,c_508,c_500,c_488,c_472,c_2012,c_1653,c_1652,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM859+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Thu Sep 24 05:37:39 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44  
% 0.11/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44  
% 0.11/0.44  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 35.50/7.42  % SZS status Started for theBenchmark.p
% 35.50/7.42  % SZS status Theorem for theBenchmark.p
% 35.50/7.42  
% 35.50/7.42  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 35.50/7.42  
% 35.50/7.42  % ------  iProver source info
% 35.50/7.42  
% 35.50/7.42  % git: date: 2026-07-19 20:42:38 +0200
% 35.50/7.42  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 35.50/7.42  % git: non_committed_changes: false
% 35.50/7.42  
% 35.50/7.42  % ------ Parsing...
% 35.50/7.42  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 35.50/7.42  
% 35.50/7.42  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e % 
% 35.50/7.42  
% 35.50/7.42  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 35.50/7.42  
% 35.50/7.42  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 35.50/7.42  % ------ Proving...
% 35.50/7.42  % ------ Problem Properties 
% 35.50/7.42  
% 35.50/7.42  % 
% 35.50/7.42  % clauses                               24
% 35.50/7.42  % conjectures                           0
% 35.50/7.42  % EPR                                   12
% 35.50/7.42  % Horn                                  19
% 35.50/7.42  % unary                                 1
% 35.50/7.42  % binary                                11
% 35.50/7.42  % lits                                  61
% 35.50/7.42  % lits eq                               3
% 35.50/7.42  % fd_pure                               0
% 35.50/7.42  % fd_pseudo                             0
% 35.50/7.42  % fd_cond                               0
% 35.50/7.42  % fd_pseudo_cond                        1
% 35.50/7.42  % AC symbols                            0
% 35.50/7.42  
% 35.50/7.42  % ------ Schedule dynamic 5 is on 
% 35.50/7.42  
% 35.50/7.42  % ------ no conjectures: strip conj schedule 
% 35.50/7.42  
% 35.50/7.42  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 35.50/7.42  
% 35.50/7.42  
% 35.50/7.42  % ------ 
% 35.50/7.42  % Current options:
% 35.50/7.42  % ------ 
% 35.50/7.42  
% 35.50/7.42  
% 35.50/7.42  % 
% 35.50/7.42  
% 35.50/7.42  % ------ Proving...
% 35.50/7.42  % 
% 35.50/7.42  
% 35.50/7.42  % SZS status Theorem for theBenchmark.p
% 35.50/7.42  
% 35.50/7.42  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.62/7.54  
% 46.62/7.54  
%------------------------------------------------------------------------------