TSTP Solution File: KRS202+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : KRS202+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 03:07:42 EDT 2022

% Result   : Theorem 10.07s 10.23s
% Output   : CNFRefutation 10.07s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(not,axiom,
    ! [I,F] :
      ( model(I,F)
    <=> ~ model(I,not(F)) ),
    input ).

fof(not_0,plain,
    ! [F,I] :
      ( model(I,F)
      | model(I,not(F)) ),
    inference(orientation,[status(thm)],[not]) ).

fof(not_1,plain,
    ! [F,I] :
      ( ~ model(I,F)
      | ~ model(I,not(F)) ),
    inference(orientation,[status(thm)],[not]) ).

fof(xora,axiom,
    ! [S1,S2] :
      ( ! [Ax,C] :
          ( status(Ax,C,S1)
        <~> status(Ax,C,S2) )
    <=> xora(S1,S2) ),
    input ).

fof(xora_0,plain,
    ! [S1,S2] :
      ( xora(S1,S2)
      | ~ ! [Ax,C] :
            ( status(Ax,C,S1)
          <~> status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[xora]) ).

fof(xora_1,plain,
    ! [S1,S2] :
      ( ~ xora(S1,S2)
      | ! [Ax,C] :
          ( status(Ax,C,S1)
        <~> status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[xora]) ).

fof(nevera,axiom,
    ! [S1,S2] :
      ( ! [Ax,C] :
          ( status(Ax,C,S1)
         => ~ status(Ax,C,S2) )
    <=> nevera(S1,S2) ),
    input ).

fof(nevera_0,plain,
    ! [S1,S2] :
      ( nevera(S1,S2)
      | ~ ! [Ax,C] :
            ( status(Ax,C,S1)
           => ~ status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[nevera]) ).

fof(nevera_1,plain,
    ! [S1,S2] :
      ( ~ nevera(S1,S2)
      | ! [Ax,C] :
          ( status(Ax,C,S1)
         => ~ status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[nevera]) ).

fof(nota,axiom,
    ! [S1,S2] :
      ( ? [Ax,C] :
          ( status(Ax,C,S1)
          & ~ status(Ax,C,S2) )
    <=> nota(S1,S2) ),
    input ).

fof(nota_0,plain,
    ! [S1,S2] :
      ( nota(S1,S2)
      | ~ ? [Ax,C] :
            ( status(Ax,C,S1)
            & ~ status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[nota]) ).

fof(nota_1,plain,
    ! [S1,S2] :
      ( ~ nota(S1,S2)
      | ? [Ax,C] :
          ( status(Ax,C,S1)
          & ~ status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[nota]) ).

fof(isa,axiom,
    ! [S1,S2] :
      ( ! [Ax,C] :
          ( status(Ax,C,S1)
         => status(Ax,C,S2) )
    <=> isa(S1,S2) ),
    input ).

fof(isa_0,plain,
    ! [S1,S2] :
      ( isa(S1,S2)
      | ~ ! [Ax,C] :
            ( status(Ax,C,S1)
           => status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[isa]) ).

fof(isa_1,plain,
    ! [S1,S2] :
      ( ~ isa(S1,S2)
      | ! [Ax,C] :
          ( status(Ax,C,S1)
         => status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[isa]) ).

fof(mighta,axiom,
    ! [S1,S2] :
      ( ? [Ax,C] :
          ( status(Ax,C,S1)
          & status(Ax,C,S2) )
    <=> mighta(S1,S2) ),
    input ).

fof(mighta_0,plain,
    ! [S1,S2] :
      ( mighta(S1,S2)
      | ~ ? [Ax,C] :
            ( status(Ax,C,S1)
            & status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[mighta]) ).

fof(mighta_1,plain,
    ! [S1,S2] :
      ( ~ mighta(S1,S2)
      | ? [Ax,C] :
          ( status(Ax,C,S1)
          & status(Ax,C,S2) ) ),
    inference(orientation,[status(thm)],[mighta]) ).

fof(noc,axiom,
    ! [Ax,C] :
      ( ( ? [I1] :
            ( model(I1,Ax)
            & model(I1,C) )
        & ? [I2] :
            ( model(I2,Ax)
            & model(I2,not(C)) ) )
    <=> status(Ax,C,noc) ),
    input ).

fof(noc_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,noc)
      | ~ ( ? [I1] :
              ( model(I1,Ax)
              & model(I1,C) )
          & ? [I2] :
              ( model(I2,Ax)
              & model(I2,not(C)) ) ) ),
    inference(orientation,[status(thm)],[noc]) ).

fof(noc_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,noc)
      | ( ? [I1] :
            ( model(I1,Ax)
            & model(I1,C) )
        & ? [I2] :
            ( model(I2,Ax)
            & model(I2,not(C)) ) ) ),
    inference(orientation,[status(thm)],[noc]) ).

fof(uns,axiom,
    ! [Ax,C] :
      ( ( ! [I1] : model(I1,Ax)
        & ! [I2] : model(I2,not(C)) )
    <=> status(Ax,C,uns) ),
    input ).

fof(uns_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,uns)
      | ~ ( ! [I1] : model(I1,Ax)
          & ! [I2] : model(I2,not(C)) ) ),
    inference(orientation,[status(thm)],[uns]) ).

fof(uns_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,uns)
      | ( ! [I1] : model(I1,Ax)
        & ! [I2] : model(I2,not(C)) ) ),
    inference(orientation,[status(thm)],[uns]) ).

fof(csa,axiom,
    ! [Ax,C] :
      ( ? [I1] :
          ( model(I1,Ax)
          & model(I1,not(C)) )
    <=> status(Ax,C,csa) ),
    input ).

fof(csa_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,csa)
      | ~ ? [I1] :
            ( model(I1,Ax)
            & model(I1,not(C)) ) ),
    inference(orientation,[status(thm)],[csa]) ).

fof(csa_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,csa)
      | ? [I1] :
          ( model(I1,Ax)
          & model(I1,not(C)) ) ),
    inference(orientation,[status(thm)],[csa]) ).

fof(wca,axiom,
    ! [Ax,C] :
      ( ( ~ ? [I1] : model(I1,Ax)
        & ? [I2] : model(I2,C)
        & ? [I3] : ~ model(I3,C) )
    <=> status(Ax,C,wca) ),
    input ).

fof(wca_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,wca)
      | ~ ( ~ ? [I1] : model(I1,Ax)
          & ? [I2] : model(I2,C)
          & ? [I3] : ~ model(I3,C) ) ),
    inference(orientation,[status(thm)],[wca]) ).

fof(wca_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,wca)
      | ( ~ ? [I1] : model(I1,Ax)
        & ? [I2] : model(I2,C)
        & ? [I3] : ~ model(I3,C) ) ),
    inference(orientation,[status(thm)],[wca]) ).

fof(tca,axiom,
    ! [Ax,C] :
      ( ( ~ ? [I1] : model(I1,Ax)
        & ! [I2] : model(I2,C) )
    <=> status(Ax,C,tca) ),
    input ).

fof(tca_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,tca)
      | ~ ( ~ ? [I1] : model(I1,Ax)
          & ! [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[tca]) ).

fof(tca_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,tca)
      | ( ~ ? [I1] : model(I1,Ax)
        & ! [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[tca]) ).

fof(sca,axiom,
    ! [Ax,C] :
      ( ( ~ ? [I1] : model(I1,Ax)
        & ? [I2] : model(I2,C) )
    <=> status(Ax,C,sca) ),
    input ).

fof(sca_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,sca)
      | ~ ( ~ ? [I1] : model(I1,Ax)
          & ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[sca]) ).

fof(sca_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,sca)
      | ( ~ ? [I1] : model(I1,Ax)
        & ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[sca]) ).

fof(cax,axiom,
    ! [Ax,C] :
      ( ~ ? [I1] : model(I1,Ax)
    <=> status(Ax,C,cax) ),
    input ).

fof(cax_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,cax)
      | ? [I1] : model(I1,Ax) ),
    inference(orientation,[status(thm)],[cax]) ).

fof(cax_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,cax)
      | ~ ? [I1] : model(I1,Ax) ),
    inference(orientation,[status(thm)],[cax]) ).

fof(wth,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
           => model(I2,C) )
        & ? [I3] :
            ( model(I3,C)
            & ~ model(I3,Ax) )
        & ? [I4] : ~ model(I4,C) )
    <=> status(Ax,C,wth) ),
    input ).

fof(wth_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,wth)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] :
              ( model(I2,Ax)
             => model(I2,C) )
          & ? [I3] :
              ( model(I3,C)
              & ~ model(I3,Ax) )
          & ? [I4] : ~ model(I4,C) ) ),
    inference(orientation,[status(thm)],[wth]) ).

fof(wth_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,wth)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
           => model(I2,C) )
        & ? [I3] :
            ( model(I3,C)
            & ~ model(I3,Ax) )
        & ? [I4] : ~ model(I4,C) ) ),
    inference(orientation,[status(thm)],[wth]) ).

fof(wtc,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        & ? [I2] : ~ model(I2,Ax)
        & ! [I3] : model(I3,C) )
    <=> status(Ax,C,wtc) ),
    input ).

fof(wtc_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,wtc)
      | ~ ( ? [I1] : model(I1,Ax)
          & ? [I2] : ~ model(I2,Ax)
          & ! [I3] : model(I3,C) ) ),
    inference(orientation,[status(thm)],[wtc]) ).

fof(wtc_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,wtc)
      | ( ? [I1] : model(I1,Ax)
        & ? [I2] : ~ model(I2,Ax)
        & ! [I3] : model(I3,C) ) ),
    inference(orientation,[status(thm)],[wtc]) ).

fof(tau,axiom,
    ! [Ax,C] :
      ( ! [I1] :
          ( model(I1,Ax)
          & model(I1,C) )
    <=> status(Ax,C,tau) ),
    input ).

fof(tau_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,tau)
      | ~ ! [I1] :
            ( model(I1,Ax)
            & model(I1,C) ) ),
    inference(orientation,[status(thm)],[tau]) ).

fof(tau_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,tau)
      | ! [I1] :
          ( model(I1,Ax)
          & model(I1,C) ) ),
    inference(orientation,[status(thm)],[tau]) ).

fof(eth,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        & ? [I2] : ~ model(I2,Ax)
        & ! [I3] :
            ( model(I3,Ax)
          <=> model(I3,C) ) )
    <=> status(Ax,C,eth) ),
    input ).

fof(eth_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,eth)
      | ~ ( ? [I1] : model(I1,Ax)
          & ? [I2] : ~ model(I2,Ax)
          & ! [I3] :
              ( model(I3,Ax)
            <=> model(I3,C) ) ) ),
    inference(orientation,[status(thm)],[eth]) ).

fof(eth_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,eth)
      | ( ? [I1] : model(I1,Ax)
        & ? [I2] : ~ model(I2,Ax)
        & ! [I3] :
            ( model(I3,Ax)
          <=> model(I3,C) ) ) ),
    inference(orientation,[status(thm)],[eth]) ).

fof(wec,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
           => model(I2,C) )
        & ? [I3] :
            ( model(I3,C)
            & ~ model(I3,Ax) ) )
    <=> status(Ax,C,wec) ),
    input ).

fof(wec_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,wec)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] :
              ( model(I2,Ax)
             => model(I2,C) )
          & ? [I3] :
              ( model(I3,C)
              & ~ model(I3,Ax) ) ) ),
    inference(orientation,[status(thm)],[wec]) ).

fof(wec_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,wec)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
           => model(I2,C) )
        & ? [I3] :
            ( model(I3,C)
            & ~ model(I3,Ax) ) ) ),
    inference(orientation,[status(thm)],[wec]) ).

fof(tac,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        & ! [I2] : model(I2,C) )
    <=> status(Ax,C,tac) ),
    input ).

fof(tac_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,tac)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[tac]) ).

fof(tac_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,tac)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[tac]) ).

fof(eqv,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
          <=> model(I2,C) ) )
    <=> status(Ax,C,eqv) ),
    input ).

fof(eqv_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,eqv)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] :
              ( model(I2,Ax)
            <=> model(I2,C) ) ) ),
    inference(orientation,[status(thm)],[eqv]) ).

fof(eqv_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,eqv)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
          <=> model(I2,C) ) ) ),
    inference(orientation,[status(thm)],[eqv]) ).

fof(thm,axiom,
    ! [Ax,C] :
      ( ! [I1] :
          ( model(I1,Ax)
         => model(I1,C) )
    <=> status(Ax,C,thm) ),
    input ).

fof(thm_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,thm)
      | ~ ! [I1] :
            ( model(I1,Ax)
           => model(I1,C) ) ),
    inference(orientation,[status(thm)],[thm]) ).

fof(thm_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,thm)
      | ! [I1] :
          ( model(I1,Ax)
         => model(I1,C) ) ),
    inference(orientation,[status(thm)],[thm]) ).

fof(sat,axiom,
    ! [Ax,C] :
      ( ? [I1] :
          ( model(I1,Ax)
          & model(I1,C) )
    <=> status(Ax,C,sat) ),
    input ).

fof(sat_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,sat)
      | ~ ? [I1] :
            ( model(I1,Ax)
            & model(I1,C) ) ),
    inference(orientation,[status(thm)],[sat]) ).

fof(sat_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,sat)
      | ? [I1] :
          ( model(I1,Ax)
          & model(I1,C) ) ),
    inference(orientation,[status(thm)],[sat]) ).

fof(esa,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
      <=> ? [I2] : model(I2,C) )
    <=> status(Ax,C,esa) ),
    input ).

fof(esa_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,esa)
      | ~ ( ? [I1] : model(I1,Ax)
        <=> ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[esa]) ).

fof(esa_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,esa)
      | ( ? [I1] : model(I1,Ax)
      <=> ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[esa]) ).

fof(sap,axiom,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
       => ? [I2] : model(I2,C) )
    <=> status(Ax,C,sap) ),
    input ).

fof(sap_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,sap)
      | ~ ( ? [I1] : model(I1,Ax)
         => ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[sap]) ).

fof(sap_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,sap)
      | ( ? [I1] : model(I1,Ax)
       => ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[sap]) ).

fof(unp,axiom,
    ! [Ax,C] :
      ( ( ~ ? [I1] : model(I1,Ax)
       => ~ ? [I2] : model(I2,C) )
    <=> status(Ax,C,unp) ),
    input ).

fof(unp_0,plain,
    ! [Ax,C] :
      ( status(Ax,C,unp)
      | ~ ( ~ ? [I1] : model(I1,Ax)
         => ~ ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[unp]) ).

fof(unp_1,plain,
    ! [Ax,C] :
      ( ~ status(Ax,C,unp)
      | ( ~ ? [I1] : model(I1,Ax)
       => ~ ? [I2] : model(I2,C) ) ),
    inference(orientation,[status(thm)],[unp]) ).

fof(def_lhs_atom1,axiom,
    ! [C,Ax] :
      ( lhs_atom1(C,Ax)
    <=> ~ status(Ax,C,unp) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [Ax,C] :
      ( lhs_atom1(C,Ax)
      | ( ~ ? [I1] : model(I1,Ax)
       => ~ ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[unp_1,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [C,Ax] :
      ( lhs_atom2(C,Ax)
    <=> status(Ax,C,unp) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [Ax,C] :
      ( lhs_atom2(C,Ax)
      | ~ ( ~ ? [I1] : model(I1,Ax)
         => ~ ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[unp_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [C,Ax] :
      ( lhs_atom3(C,Ax)
    <=> ~ status(Ax,C,sap) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [Ax,C] :
      ( lhs_atom3(C,Ax)
      | ( ? [I1] : model(I1,Ax)
       => ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[sap_1,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [C,Ax] :
      ( lhs_atom4(C,Ax)
    <=> status(Ax,C,sap) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [Ax,C] :
      ( lhs_atom4(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
         => ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[sap_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [C,Ax] :
      ( lhs_atom5(C,Ax)
    <=> ~ status(Ax,C,esa) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [Ax,C] :
      ( lhs_atom5(C,Ax)
      | ( ? [I1] : model(I1,Ax)
      <=> ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[esa_1,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [C,Ax] :
      ( lhs_atom6(C,Ax)
    <=> status(Ax,C,esa) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [Ax,C] :
      ( lhs_atom6(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
        <=> ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[esa_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [C,Ax] :
      ( lhs_atom7(C,Ax)
    <=> ~ status(Ax,C,sat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [Ax,C] :
      ( lhs_atom7(C,Ax)
      | ? [I1] :
          ( model(I1,Ax)
          & model(I1,C) ) ),
    inference(fold_definition,[status(thm)],[sat_1,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [C,Ax] :
      ( lhs_atom8(C,Ax)
    <=> status(Ax,C,sat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [Ax,C] :
      ( lhs_atom8(C,Ax)
      | ~ ? [I1] :
            ( model(I1,Ax)
            & model(I1,C) ) ),
    inference(fold_definition,[status(thm)],[sat_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [C,Ax] :
      ( lhs_atom9(C,Ax)
    <=> ~ status(Ax,C,thm) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [Ax,C] :
      ( lhs_atom9(C,Ax)
      | ! [I1] :
          ( model(I1,Ax)
         => model(I1,C) ) ),
    inference(fold_definition,[status(thm)],[thm_1,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [C,Ax] :
      ( lhs_atom10(C,Ax)
    <=> status(Ax,C,thm) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [Ax,C] :
      ( lhs_atom10(C,Ax)
      | ~ ! [I1] :
            ( model(I1,Ax)
           => model(I1,C) ) ),
    inference(fold_definition,[status(thm)],[thm_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [C,Ax] :
      ( lhs_atom11(C,Ax)
    <=> ~ status(Ax,C,eqv) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [Ax,C] :
      ( lhs_atom11(C,Ax)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
          <=> model(I2,C) ) ) ),
    inference(fold_definition,[status(thm)],[eqv_1,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [C,Ax] :
      ( lhs_atom12(C,Ax)
    <=> status(Ax,C,eqv) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [Ax,C] :
      ( lhs_atom12(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] :
              ( model(I2,Ax)
            <=> model(I2,C) ) ) ),
    inference(fold_definition,[status(thm)],[eqv_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [C,Ax] :
      ( lhs_atom13(C,Ax)
    <=> ~ status(Ax,C,tac) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [Ax,C] :
      ( lhs_atom13(C,Ax)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[tac_1,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [C,Ax] :
      ( lhs_atom14(C,Ax)
    <=> status(Ax,C,tac) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [Ax,C] :
      ( lhs_atom14(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[tac_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [C,Ax] :
      ( lhs_atom15(C,Ax)
    <=> ~ status(Ax,C,wec) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [Ax,C] :
      ( lhs_atom15(C,Ax)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
           => model(I2,C) )
        & ? [I3] :
            ( model(I3,C)
            & ~ model(I3,Ax) ) ) ),
    inference(fold_definition,[status(thm)],[wec_1,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [C,Ax] :
      ( lhs_atom16(C,Ax)
    <=> status(Ax,C,wec) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [Ax,C] :
      ( lhs_atom16(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] :
              ( model(I2,Ax)
             => model(I2,C) )
          & ? [I3] :
              ( model(I3,C)
              & ~ model(I3,Ax) ) ) ),
    inference(fold_definition,[status(thm)],[wec_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [C,Ax] :
      ( lhs_atom17(C,Ax)
    <=> ~ status(Ax,C,eth) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [Ax,C] :
      ( lhs_atom17(C,Ax)
      | ( ? [I1] : model(I1,Ax)
        & ? [I2] : ~ model(I2,Ax)
        & ! [I3] :
            ( model(I3,Ax)
          <=> model(I3,C) ) ) ),
    inference(fold_definition,[status(thm)],[eth_1,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [C,Ax] :
      ( lhs_atom18(C,Ax)
    <=> status(Ax,C,eth) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [Ax,C] :
      ( lhs_atom18(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
          & ? [I2] : ~ model(I2,Ax)
          & ! [I3] :
              ( model(I3,Ax)
            <=> model(I3,C) ) ) ),
    inference(fold_definition,[status(thm)],[eth_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [C,Ax] :
      ( lhs_atom19(C,Ax)
    <=> ~ status(Ax,C,tau) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [Ax,C] :
      ( lhs_atom19(C,Ax)
      | ! [I1] :
          ( model(I1,Ax)
          & model(I1,C) ) ),
    inference(fold_definition,[status(thm)],[tau_1,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [C,Ax] :
      ( lhs_atom20(C,Ax)
    <=> status(Ax,C,tau) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ! [Ax,C] :
      ( lhs_atom20(C,Ax)
      | ~ ! [I1] :
            ( model(I1,Ax)
            & model(I1,C) ) ),
    inference(fold_definition,[status(thm)],[tau_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [C,Ax] :
      ( lhs_atom21(C,Ax)
    <=> ~ status(Ax,C,wtc) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [Ax,C] :
      ( lhs_atom21(C,Ax)
      | ( ? [I1] : model(I1,Ax)
        & ? [I2] : ~ model(I2,Ax)
        & ! [I3] : model(I3,C) ) ),
    inference(fold_definition,[status(thm)],[wtc_1,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [C,Ax] :
      ( lhs_atom22(C,Ax)
    <=> status(Ax,C,wtc) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [Ax,C] :
      ( lhs_atom22(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
          & ? [I2] : ~ model(I2,Ax)
          & ! [I3] : model(I3,C) ) ),
    inference(fold_definition,[status(thm)],[wtc_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [C,Ax] :
      ( lhs_atom23(C,Ax)
    <=> ~ status(Ax,C,wth) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [Ax,C] :
      ( lhs_atom23(C,Ax)
      | ( ? [I1] : model(I1,Ax)
        & ! [I2] :
            ( model(I2,Ax)
           => model(I2,C) )
        & ? [I3] :
            ( model(I3,C)
            & ~ model(I3,Ax) )
        & ? [I4] : ~ model(I4,C) ) ),
    inference(fold_definition,[status(thm)],[wth_1,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [C,Ax] :
      ( lhs_atom24(C,Ax)
    <=> status(Ax,C,wth) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [Ax,C] :
      ( lhs_atom24(C,Ax)
      | ~ ( ? [I1] : model(I1,Ax)
          & ! [I2] :
              ( model(I2,Ax)
             => model(I2,C) )
          & ? [I3] :
              ( model(I3,C)
              & ~ model(I3,Ax) )
          & ? [I4] : ~ model(I4,C) ) ),
    inference(fold_definition,[status(thm)],[wth_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [C,Ax] :
      ( lhs_atom25(C,Ax)
    <=> ~ status(Ax,C,cax) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [Ax,C] :
      ( lhs_atom25(C,Ax)
      | ~ ? [I1] : model(I1,Ax) ),
    inference(fold_definition,[status(thm)],[cax_1,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [C,Ax] :
      ( lhs_atom26(C,Ax)
    <=> status(Ax,C,cax) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [Ax,C] :
      ( lhs_atom26(C,Ax)
      | ? [I1] : model(I1,Ax) ),
    inference(fold_definition,[status(thm)],[cax_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [C,Ax] :
      ( lhs_atom27(C,Ax)
    <=> ~ status(Ax,C,sca) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [Ax,C] :
      ( lhs_atom27(C,Ax)
      | ( ~ ? [I1] : model(I1,Ax)
        & ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[sca_1,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [C,Ax] :
      ( lhs_atom28(C,Ax)
    <=> status(Ax,C,sca) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [Ax,C] :
      ( lhs_atom28(C,Ax)
      | ~ ( ~ ? [I1] : model(I1,Ax)
          & ? [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[sca_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [C,Ax] :
      ( lhs_atom29(C,Ax)
    <=> ~ status(Ax,C,tca) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [Ax,C] :
      ( lhs_atom29(C,Ax)
      | ( ~ ? [I1] : model(I1,Ax)
        & ! [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[tca_1,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [C,Ax] :
      ( lhs_atom30(C,Ax)
    <=> status(Ax,C,tca) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [Ax,C] :
      ( lhs_atom30(C,Ax)
      | ~ ( ~ ? [I1] : model(I1,Ax)
          & ! [I2] : model(I2,C) ) ),
    inference(fold_definition,[status(thm)],[tca_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [C,Ax] :
      ( lhs_atom31(C,Ax)
    <=> ~ status(Ax,C,wca) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [Ax,C] :
      ( lhs_atom31(C,Ax)
      | ( ~ ? [I1] : model(I1,Ax)
        & ? [I2] : model(I2,C)
        & ? [I3] : ~ model(I3,C) ) ),
    inference(fold_definition,[status(thm)],[wca_1,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [C,Ax] :
      ( lhs_atom32(C,Ax)
    <=> status(Ax,C,wca) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [Ax,C] :
      ( lhs_atom32(C,Ax)
      | ~ ( ~ ? [I1] : model(I1,Ax)
          & ? [I2] : model(I2,C)
          & ? [I3] : ~ model(I3,C) ) ),
    inference(fold_definition,[status(thm)],[wca_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [C,Ax] :
      ( lhs_atom33(C,Ax)
    <=> ~ status(Ax,C,csa) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [Ax,C] :
      ( lhs_atom33(C,Ax)
      | ? [I1] :
          ( model(I1,Ax)
          & model(I1,not(C)) ) ),
    inference(fold_definition,[status(thm)],[csa_1,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [C,Ax] :
      ( lhs_atom34(C,Ax)
    <=> status(Ax,C,csa) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ! [Ax,C] :
      ( lhs_atom34(C,Ax)
      | ~ ? [I1] :
            ( model(I1,Ax)
            & model(I1,not(C)) ) ),
    inference(fold_definition,[status(thm)],[csa_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [C,Ax] :
      ( lhs_atom35(C,Ax)
    <=> ~ status(Ax,C,uns) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [Ax,C] :
      ( lhs_atom35(C,Ax)
      | ( ! [I1] : model(I1,Ax)
        & ! [I2] : model(I2,not(C)) ) ),
    inference(fold_definition,[status(thm)],[uns_1,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [C,Ax] :
      ( lhs_atom36(C,Ax)
    <=> status(Ax,C,uns) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [Ax,C] :
      ( lhs_atom36(C,Ax)
      | ~ ( ! [I1] : model(I1,Ax)
          & ! [I2] : model(I2,not(C)) ) ),
    inference(fold_definition,[status(thm)],[uns_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [C,Ax] :
      ( lhs_atom37(C,Ax)
    <=> ~ status(Ax,C,noc) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [Ax,C] :
      ( lhs_atom37(C,Ax)
      | ( ? [I1] :
            ( model(I1,Ax)
            & model(I1,C) )
        & ? [I2] :
            ( model(I2,Ax)
            & model(I2,not(C)) ) ) ),
    inference(fold_definition,[status(thm)],[noc_1,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [C,Ax] :
      ( lhs_atom38(C,Ax)
    <=> status(Ax,C,noc) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [Ax,C] :
      ( lhs_atom38(C,Ax)
      | ~ ( ? [I1] :
              ( model(I1,Ax)
              & model(I1,C) )
          & ? [I2] :
              ( model(I2,Ax)
              & model(I2,not(C)) ) ) ),
    inference(fold_definition,[status(thm)],[noc_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [S2,S1] :
      ( lhs_atom39(S2,S1)
    <=> ~ mighta(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [S1,S2] :
      ( lhs_atom39(S2,S1)
      | ? [Ax,C] :
          ( status(Ax,C,S1)
          & status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[mighta_1,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [S2,S1] :
      ( lhs_atom40(S2,S1)
    <=> mighta(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [S1,S2] :
      ( lhs_atom40(S2,S1)
      | ~ ? [Ax,C] :
            ( status(Ax,C,S1)
            & status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[mighta_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [S2,S1] :
      ( lhs_atom41(S2,S1)
    <=> ~ isa(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [S1,S2] :
      ( lhs_atom41(S2,S1)
      | ! [Ax,C] :
          ( status(Ax,C,S1)
         => status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[isa_1,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [S2,S1] :
      ( lhs_atom42(S2,S1)
    <=> isa(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [S1,S2] :
      ( lhs_atom42(S2,S1)
      | ~ ! [Ax,C] :
            ( status(Ax,C,S1)
           => status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[isa_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [S2,S1] :
      ( lhs_atom43(S2,S1)
    <=> ~ nota(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [S1,S2] :
      ( lhs_atom43(S2,S1)
      | ? [Ax,C] :
          ( status(Ax,C,S1)
          & ~ status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[nota_1,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [S2,S1] :
      ( lhs_atom44(S2,S1)
    <=> nota(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [S1,S2] :
      ( lhs_atom44(S2,S1)
      | ~ ? [Ax,C] :
            ( status(Ax,C,S1)
            & ~ status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[nota_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [S2,S1] :
      ( lhs_atom45(S2,S1)
    <=> ~ nevera(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [S1,S2] :
      ( lhs_atom45(S2,S1)
      | ! [Ax,C] :
          ( status(Ax,C,S1)
         => ~ status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[nevera_1,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [S2,S1] :
      ( lhs_atom46(S2,S1)
    <=> nevera(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ! [S1,S2] :
      ( lhs_atom46(S2,S1)
      | ~ ! [Ax,C] :
            ( status(Ax,C,S1)
           => ~ status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[nevera_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [S2,S1] :
      ( lhs_atom47(S2,S1)
    <=> ~ xora(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ! [S1,S2] :
      ( lhs_atom47(S2,S1)
      | ! [Ax,C] :
          ( status(Ax,C,S1)
        <~> status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[xora_1,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [S2,S1] :
      ( lhs_atom48(S2,S1)
    <=> xora(S1,S2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [S1,S2] :
      ( lhs_atom48(S2,S1)
      | ~ ! [Ax,C] :
            ( status(Ax,C,S1)
          <~> status(Ax,C,S2) ) ),
    inference(fold_definition,[status(thm)],[xora_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [I,F] :
      ( lhs_atom49(I,F)
    <=> ~ model(I,F) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ! [F,I] :
      ( lhs_atom49(I,F)
      | ~ model(I,not(F)) ),
    inference(fold_definition,[status(thm)],[not_1,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [I,F] :
      ( lhs_atom50(I,F)
    <=> model(I,F) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [F,I] :
      ( lhs_atom50(I,F)
      | model(I,not(F)) ),
    inference(fold_definition,[status(thm)],[not_0,def_lhs_atom50]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X7,X8] :
      ( lhs_atom48(X7,X8)
      | ~ ! [X2,X1] :
            ( status(X2,X1,X8)
          <~> status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_1,axiom,
    ! [X7,X8] :
      ( lhs_atom47(X7,X8)
      | ! [X2,X1] :
          ( status(X2,X1,X8)
        <~> status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_2,axiom,
    ! [X7,X8] :
      ( lhs_atom45(X7,X8)
      | ! [X2,X1] :
          ( status(X2,X1,X8)
         => ~ status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_3,axiom,
    ! [X7,X8] :
      ( lhs_atom40(X7,X8)
      | ~ ? [X2,X1] :
            ( status(X2,X1,X8)
            & status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_4,axiom,
    ! [X7,X8] :
      ( lhs_atom43(X7,X8)
      | ? [X2,X1] :
          ( status(X2,X1,X8)
          & ~ status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_5,axiom,
    ! [X7,X8] :
      ( lhs_atom42(X7,X8)
      | ~ ! [X2,X1] :
            ( status(X2,X1,X8)
           => status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_6,axiom,
    ! [X1,X2] :
      ( lhs_atom18(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ? [X4] : ~ model(X4,X2)
          & ! [X5] :
              ( model(X5,X2)
            <=> model(X5,X1) ) ) ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( lhs_atom12(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] :
              ( model(X4,X2)
            <=> model(X4,X1) ) ) ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_8,axiom,
    ! [X7,X8] :
      ( lhs_atom44(X7,X8)
      | ~ ? [X2,X1] :
            ( status(X2,X1,X8)
            & ~ status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_9,axiom,
    ! [X7,X8] :
      ( lhs_atom41(X7,X8)
      | ! [X2,X1] :
          ( status(X2,X1,X8)
         => status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_10,axiom,
    ! [X1,X2] :
      ( lhs_atom24(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] :
              ( model(X4,X2)
             => model(X4,X1) )
          & ? [X5] :
              ( model(X5,X1)
              & ~ model(X5,X2) )
          & ? [X6] : ~ model(X6,X1) ) ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_11,axiom,
    ! [X1,X2] :
      ( lhs_atom36(X1,X2)
      | ~ ( ! [X3] : model(X3,X2)
          & ! [X4] : model(X4,not(X1)) ) ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_12,axiom,
    ! [X1,X2] :
      ( lhs_atom20(X1,X2)
      | ~ ! [X3] :
            ( model(X3,X2)
            & model(X3,X1) ) ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_13,axiom,
    ! [X1,X2] :
      ( lhs_atom16(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] :
              ( model(X4,X2)
             => model(X4,X1) )
          & ? [X5] :
              ( model(X5,X1)
              & ~ model(X5,X2) ) ) ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_14,axiom,
    ! [X7,X8] :
      ( lhs_atom46(X7,X8)
      | ~ ! [X2,X1] :
            ( status(X2,X1,X8)
           => ~ status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_15,axiom,
    ! [X7,X8] :
      ( lhs_atom39(X7,X8)
      | ? [X2,X1] :
          ( status(X2,X1,X8)
          & status(X2,X1,X7) ) ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_16,axiom,
    ! [X1,X2] :
      ( lhs_atom30(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
          & ! [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_17,axiom,
    ! [X1,X2] :
      ( lhs_atom22(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ? [X4] : ~ model(X4,X2)
          & ! [X5] : model(X5,X1) ) ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_18,axiom,
    ! [X1,X2] :
      ( lhs_atom38(X1,X2)
      | ~ ( ? [X3] :
              ( model(X3,X2)
              & model(X3,X1) )
          & ? [X4] :
              ( model(X4,X2)
              & model(X4,not(X1)) ) ) ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_19,axiom,
    ! [X1,X2] :
      ( lhs_atom14(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_20,axiom,
    ! [X1,X2] :
      ( lhs_atom6(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
        <=> ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_21,axiom,
    ! [X1,X2] :
      ( lhs_atom32(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
          & ? [X4] : model(X4,X1)
          & ? [X5] : ~ model(X5,X1) ) ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_22,axiom,
    ! [X1,X2] :
      ( lhs_atom31(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
        & ? [X4] : model(X4,X1)
        & ? [X5] : ~ model(X5,X1) ) ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_23,axiom,
    ! [X1,X2] :
      ( lhs_atom23(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] :
            ( model(X4,X2)
           => model(X4,X1) )
        & ? [X5] :
            ( model(X5,X1)
            & ~ model(X5,X2) )
        & ? [X6] : ~ model(X6,X1) ) ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_24,axiom,
    ! [X1,X2] :
      ( lhs_atom21(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ? [X4] : ~ model(X4,X2)
        & ! [X5] : model(X5,X1) ) ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_25,axiom,
    ! [X1,X2] :
      ( lhs_atom17(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ? [X4] : ~ model(X4,X2)
        & ! [X5] :
            ( model(X5,X2)
          <=> model(X5,X1) ) ) ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_26,axiom,
    ! [X1,X2] :
      ( lhs_atom15(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] :
            ( model(X4,X2)
           => model(X4,X1) )
        & ? [X5] :
            ( model(X5,X1)
            & ~ model(X5,X2) ) ) ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_27,axiom,
    ! [X1,X2] :
      ( lhs_atom10(X1,X2)
      | ~ ! [X3] :
            ( model(X3,X2)
           => model(X3,X1) ) ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_28,axiom,
    ! [X1,X2] :
      ( lhs_atom28(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
          & ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_29,axiom,
    ! [X1,X2] :
      ( lhs_atom5(X1,X2)
      | ( ? [X3] : model(X3,X2)
      <=> ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_30,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | ( ? [X3] : model(X3,X2)
       => ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_31,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
       => ~ ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_32,axiom,
    ! [X1,X2] :
      ( lhs_atom34(X1,X2)
      | ~ ? [X3] :
            ( model(X3,X2)
            & model(X3,not(X1)) ) ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_33,axiom,
    ! [X1,X2] :
      ( lhs_atom37(X1,X2)
      | ( ? [X3] :
            ( model(X3,X2)
            & model(X3,X1) )
        & ? [X4] :
            ( model(X4,X2)
            & model(X4,not(X1)) ) ) ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_34,axiom,
    ! [X1,X2] :
      ( lhs_atom33(X1,X2)
      | ? [X3] :
          ( model(X3,X2)
          & model(X3,not(X1)) ) ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_35,axiom,
    ! [X1,X2] :
      ( lhs_atom8(X1,X2)
      | ~ ? [X3] :
            ( model(X3,X2)
            & model(X3,X1) ) ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_36,axiom,
    ! [X1,X2] :
      ( lhs_atom27(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
        & ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_37,axiom,
    ! [X1,X2] :
      ( lhs_atom26(X1,X2)
      | ? [X3] : model(X3,X2) ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_38,axiom,
    ! [X1,X2] :
      ( lhs_atom13(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_39,axiom,
    ! [X1,X2] :
      ( lhs_atom11(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] :
            ( model(X4,X2)
          <=> model(X4,X1) ) ) ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_40,axiom,
    ! [X1,X2] :
      ( lhs_atom7(X1,X2)
      | ? [X3] :
          ( model(X3,X2)
          & model(X3,X1) ) ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_41,axiom,
    ! [X1,X2] :
      ( lhs_atom4(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
         => ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_42,axiom,
    ! [X1,X2] :
      ( lhs_atom2(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
         => ~ ? [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_43,axiom,
    ! [X1,X2] :
      ( lhs_atom9(X1,X2)
      | ! [X3] :
          ( model(X3,X2)
         => model(X3,X1) ) ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_44,axiom,
    ! [X9,X10] :
      ( lhs_atom49(X9,X10)
      | ~ model(X9,not(X10)) ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_45,axiom,
    ! [X1,X2] :
      ( lhs_atom29(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
        & ! [X4] : model(X4,X1) ) ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_46,axiom,
    ! [X1,X2] :
      ( lhs_atom25(X1,X2)
      | ~ ? [X3] : model(X3,X2) ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_47,axiom,
    ! [X9,X10] :
      ( lhs_atom50(X9,X10)
      | model(X9,not(X10)) ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_48,axiom,
    ! [X1,X2] :
      ( lhs_atom35(X1,X2)
      | ( ! [X3] : model(X3,X2)
        & ! [X4] : model(X4,not(X1)) ) ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_49,axiom,
    ! [X1,X2] :
      ( lhs_atom19(X1,X2)
      | ! [X3] :
          ( model(X3,X2)
          & model(X3,X1) ) ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_50,plain,
    ! [X7,X8] :
      ( lhs_atom48(X7,X8)
      | ~ ! [X2,X1] :
            ~ ( status(X2,X1,X8)
            <=> status(X2,X1,X7) ) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_51,plain,
    ! [X7,X8] :
      ( lhs_atom47(X7,X8)
      | ! [X2,X1] :
          ~ ( status(X2,X1,X8)
          <=> status(X2,X1,X7) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_52,plain,
    ! [X7,X8] :
      ( lhs_atom45(X7,X8)
      | ! [X2,X1] :
          ( status(X2,X1,X8)
         => ~ status(X2,X1,X7) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_53,axiom,
    ! [X7,X8] :
      ( lhs_atom40(X7,X8)
      | ~ ? [X2,X1] :
            ( status(X2,X1,X8)
            & status(X2,X1,X7) ) ),
    c_0_3 ).

fof(c_0_54,plain,
    ! [X7,X8] :
      ( lhs_atom43(X7,X8)
      | ? [X2,X1] :
          ( status(X2,X1,X8)
          & ~ status(X2,X1,X7) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_55,axiom,
    ! [X7,X8] :
      ( lhs_atom42(X7,X8)
      | ~ ! [X2,X1] :
            ( status(X2,X1,X8)
           => status(X2,X1,X7) ) ),
    c_0_5 ).

fof(c_0_56,plain,
    ! [X1,X2] :
      ( lhs_atom18(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ? [X4] : ~ model(X4,X2)
          & ! [X5] :
              ( model(X5,X2)
            <=> model(X5,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_57,axiom,
    ! [X1,X2] :
      ( lhs_atom12(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] :
              ( model(X4,X2)
            <=> model(X4,X1) ) ) ),
    c_0_7 ).

fof(c_0_58,plain,
    ! [X7,X8] :
      ( lhs_atom44(X7,X8)
      | ~ ? [X2,X1] :
            ( status(X2,X1,X8)
            & ~ status(X2,X1,X7) ) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_59,axiom,
    ! [X7,X8] :
      ( lhs_atom41(X7,X8)
      | ! [X2,X1] :
          ( status(X2,X1,X8)
         => status(X2,X1,X7) ) ),
    c_0_9 ).

fof(c_0_60,plain,
    ! [X1,X2] :
      ( lhs_atom24(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] :
              ( model(X4,X2)
             => model(X4,X1) )
          & ? [X5] :
              ( model(X5,X1)
              & ~ model(X5,X2) )
          & ? [X6] : ~ model(X6,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_61,axiom,
    ! [X1,X2] :
      ( lhs_atom36(X1,X2)
      | ~ ( ! [X3] : model(X3,X2)
          & ! [X4] : model(X4,not(X1)) ) ),
    c_0_11 ).

fof(c_0_62,axiom,
    ! [X1,X2] :
      ( lhs_atom20(X1,X2)
      | ~ ! [X3] :
            ( model(X3,X2)
            & model(X3,X1) ) ),
    c_0_12 ).

fof(c_0_63,plain,
    ! [X1,X2] :
      ( lhs_atom16(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] :
              ( model(X4,X2)
             => model(X4,X1) )
          & ? [X5] :
              ( model(X5,X1)
              & ~ model(X5,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_64,plain,
    ! [X7,X8] :
      ( lhs_atom46(X7,X8)
      | ~ ! [X2,X1] :
            ( status(X2,X1,X8)
           => ~ status(X2,X1,X7) ) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_65,axiom,
    ! [X7,X8] :
      ( lhs_atom39(X7,X8)
      | ? [X2,X1] :
          ( status(X2,X1,X8)
          & status(X2,X1,X7) ) ),
    c_0_15 ).

fof(c_0_66,axiom,
    ! [X1,X2] :
      ( lhs_atom30(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
          & ! [X4] : model(X4,X1) ) ),
    c_0_16 ).

fof(c_0_67,plain,
    ! [X1,X2] :
      ( lhs_atom22(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ? [X4] : ~ model(X4,X2)
          & ! [X5] : model(X5,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_68,axiom,
    ! [X1,X2] :
      ( lhs_atom38(X1,X2)
      | ~ ( ? [X3] :
              ( model(X3,X2)
              & model(X3,X1) )
          & ? [X4] :
              ( model(X4,X2)
              & model(X4,not(X1)) ) ) ),
    c_0_18 ).

fof(c_0_69,axiom,
    ! [X1,X2] :
      ( lhs_atom14(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
          & ! [X4] : model(X4,X1) ) ),
    c_0_19 ).

fof(c_0_70,axiom,
    ! [X1,X2] :
      ( lhs_atom6(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
        <=> ? [X4] : model(X4,X1) ) ),
    c_0_20 ).

fof(c_0_71,plain,
    ! [X1,X2] :
      ( lhs_atom32(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
          & ? [X4] : model(X4,X1)
          & ? [X5] : ~ model(X5,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_72,plain,
    ! [X1,X2] :
      ( lhs_atom31(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
        & ? [X4] : model(X4,X1)
        & ? [X5] : ~ model(X5,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_73,plain,
    ! [X1,X2] :
      ( lhs_atom23(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] :
            ( model(X4,X2)
           => model(X4,X1) )
        & ? [X5] :
            ( model(X5,X1)
            & ~ model(X5,X2) )
        & ? [X6] : ~ model(X6,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_74,plain,
    ! [X1,X2] :
      ( lhs_atom21(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ? [X4] : ~ model(X4,X2)
        & ! [X5] : model(X5,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_75,plain,
    ! [X1,X2] :
      ( lhs_atom17(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ? [X4] : ~ model(X4,X2)
        & ! [X5] :
            ( model(X5,X2)
          <=> model(X5,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_76,plain,
    ! [X1,X2] :
      ( lhs_atom15(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] :
            ( model(X4,X2)
           => model(X4,X1) )
        & ? [X5] :
            ( model(X5,X1)
            & ~ model(X5,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_77,axiom,
    ! [X1,X2] :
      ( lhs_atom10(X1,X2)
      | ~ ! [X3] :
            ( model(X3,X2)
           => model(X3,X1) ) ),
    c_0_27 ).

fof(c_0_78,axiom,
    ! [X1,X2] :
      ( lhs_atom28(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
          & ? [X4] : model(X4,X1) ) ),
    c_0_28 ).

fof(c_0_79,axiom,
    ! [X1,X2] :
      ( lhs_atom5(X1,X2)
      | ( ? [X3] : model(X3,X2)
      <=> ? [X4] : model(X4,X1) ) ),
    c_0_29 ).

fof(c_0_80,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | ( ? [X3] : model(X3,X2)
       => ? [X4] : model(X4,X1) ) ),
    c_0_30 ).

fof(c_0_81,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
       => ~ ? [X4] : model(X4,X1) ) ),
    c_0_31 ).

fof(c_0_82,axiom,
    ! [X1,X2] :
      ( lhs_atom34(X1,X2)
      | ~ ? [X3] :
            ( model(X3,X2)
            & model(X3,not(X1)) ) ),
    c_0_32 ).

fof(c_0_83,axiom,
    ! [X1,X2] :
      ( lhs_atom37(X1,X2)
      | ( ? [X3] :
            ( model(X3,X2)
            & model(X3,X1) )
        & ? [X4] :
            ( model(X4,X2)
            & model(X4,not(X1)) ) ) ),
    c_0_33 ).

fof(c_0_84,axiom,
    ! [X1,X2] :
      ( lhs_atom33(X1,X2)
      | ? [X3] :
          ( model(X3,X2)
          & model(X3,not(X1)) ) ),
    c_0_34 ).

fof(c_0_85,axiom,
    ! [X1,X2] :
      ( lhs_atom8(X1,X2)
      | ~ ? [X3] :
            ( model(X3,X2)
            & model(X3,X1) ) ),
    c_0_35 ).

fof(c_0_86,axiom,
    ! [X1,X2] :
      ( lhs_atom27(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
        & ? [X4] : model(X4,X1) ) ),
    c_0_36 ).

fof(c_0_87,axiom,
    ! [X1,X2] :
      ( lhs_atom26(X1,X2)
      | ? [X3] : model(X3,X2) ),
    c_0_37 ).

fof(c_0_88,axiom,
    ! [X1,X2] :
      ( lhs_atom13(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] : model(X4,X1) ) ),
    c_0_38 ).

fof(c_0_89,axiom,
    ! [X1,X2] :
      ( lhs_atom11(X1,X2)
      | ( ? [X3] : model(X3,X2)
        & ! [X4] :
            ( model(X4,X2)
          <=> model(X4,X1) ) ) ),
    c_0_39 ).

fof(c_0_90,axiom,
    ! [X1,X2] :
      ( lhs_atom7(X1,X2)
      | ? [X3] :
          ( model(X3,X2)
          & model(X3,X1) ) ),
    c_0_40 ).

fof(c_0_91,axiom,
    ! [X1,X2] :
      ( lhs_atom4(X1,X2)
      | ~ ( ? [X3] : model(X3,X2)
         => ? [X4] : model(X4,X1) ) ),
    c_0_41 ).

fof(c_0_92,axiom,
    ! [X1,X2] :
      ( lhs_atom2(X1,X2)
      | ~ ( ~ ? [X3] : model(X3,X2)
         => ~ ? [X4] : model(X4,X1) ) ),
    c_0_42 ).

fof(c_0_93,axiom,
    ! [X1,X2] :
      ( lhs_atom9(X1,X2)
      | ! [X3] :
          ( model(X3,X2)
         => model(X3,X1) ) ),
    c_0_43 ).

fof(c_0_94,plain,
    ! [X9,X10] :
      ( lhs_atom49(X9,X10)
      | ~ model(X9,not(X10)) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_95,axiom,
    ! [X1,X2] :
      ( lhs_atom29(X1,X2)
      | ( ~ ? [X3] : model(X3,X2)
        & ! [X4] : model(X4,X1) ) ),
    c_0_45 ).

fof(c_0_96,axiom,
    ! [X1,X2] :
      ( lhs_atom25(X1,X2)
      | ~ ? [X3] : model(X3,X2) ),
    c_0_46 ).

fof(c_0_97,axiom,
    ! [X9,X10] :
      ( lhs_atom50(X9,X10)
      | model(X9,not(X10)) ),
    c_0_47 ).

fof(c_0_98,axiom,
    ! [X1,X2] :
      ( lhs_atom35(X1,X2)
      | ( ! [X3] : model(X3,X2)
        & ! [X4] : model(X4,not(X1)) ) ),
    c_0_48 ).

fof(c_0_99,axiom,
    ! [X1,X2] :
      ( lhs_atom19(X1,X2)
      | ! [X3] :
          ( model(X3,X2)
          & model(X3,X1) ) ),
    c_0_49 ).

fof(c_0_100,plain,
    ! [X9,X10] :
      ( ( ~ status(esk51_2(X9,X10),esk52_2(X9,X10),X10)
        | status(esk51_2(X9,X10),esk52_2(X9,X10),X9)
        | lhs_atom48(X9,X10) )
      & ( ~ status(esk51_2(X9,X10),esk52_2(X9,X10),X9)
        | status(esk51_2(X9,X10),esk52_2(X9,X10),X10)
        | lhs_atom48(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).

fof(c_0_101,plain,
    ! [X9,X10,X11,X12,X13,X14] :
      ( ( ~ status(X11,X12,X10)
        | ~ status(X11,X12,X9)
        | lhs_atom47(X9,X10) )
      & ( status(X13,X14,X10)
        | status(X13,X14,X9)
        | lhs_atom47(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])]) ).

fof(c_0_102,plain,
    ! [X9,X10,X11,X12] :
      ( lhs_atom45(X9,X10)
      | ~ status(X11,X12,X10)
      | ~ status(X11,X12,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).

fof(c_0_103,plain,
    ! [X9,X10,X11,X12] :
      ( lhs_atom40(X9,X10)
      | ~ status(X11,X12,X10)
      | ~ status(X11,X12,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).

fof(c_0_104,plain,
    ! [X9,X10] :
      ( ( status(esk47_2(X9,X10),esk48_2(X9,X10),X10)
        | lhs_atom43(X9,X10) )
      & ( ~ status(esk47_2(X9,X10),esk48_2(X9,X10),X9)
        | lhs_atom43(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_54])])]) ).

fof(c_0_105,plain,
    ! [X9,X10] :
      ( ( status(esk45_2(X9,X10),esk46_2(X9,X10),X10)
        | lhs_atom42(X9,X10) )
      & ( ~ status(esk45_2(X9,X10),esk46_2(X9,X10),X9)
        | lhs_atom42(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).

fof(c_0_106,plain,
    ! [X6,X7,X8,X9] :
      ( ( ~ model(esk20_2(X6,X7),X7)
        | ~ model(esk20_2(X6,X7),X6)
        | model(X9,X7)
        | ~ model(X8,X7)
        | lhs_atom18(X6,X7) )
      & ( model(esk20_2(X6,X7),X7)
        | model(esk20_2(X6,X7),X6)
        | model(X9,X7)
        | ~ model(X8,X7)
        | lhs_atom18(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])]) ).

fof(c_0_107,plain,
    ! [X5,X6,X7] :
      ( ( ~ model(esk12_2(X5,X6),X6)
        | ~ model(esk12_2(X5,X6),X5)
        | ~ model(X7,X6)
        | lhs_atom12(X5,X6) )
      & ( model(esk12_2(X5,X6),X6)
        | model(esk12_2(X5,X6),X5)
        | ~ model(X7,X6)
        | lhs_atom12(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])]) ).

fof(c_0_108,plain,
    ! [X9,X10,X11,X12] :
      ( lhs_atom44(X9,X10)
      | ~ status(X11,X12,X10)
      | status(X11,X12,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).

fof(c_0_109,plain,
    ! [X9,X10,X11,X12] :
      ( lhs_atom41(X9,X10)
      | ~ status(X11,X12,X10)
      | status(X11,X12,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).

fof(c_0_110,plain,
    ! [X7,X8,X9,X11,X12] :
      ( ( model(esk29_2(X7,X8),X8)
        | ~ model(X11,X7)
        | model(X11,X8)
        | model(X12,X7)
        | ~ model(X9,X8)
        | lhs_atom24(X7,X8) )
      & ( ~ model(esk29_2(X7,X8),X7)
        | ~ model(X11,X7)
        | model(X11,X8)
        | model(X12,X7)
        | ~ model(X9,X8)
        | lhs_atom24(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])]) ).

fof(c_0_111,plain,
    ! [X5,X6] :
      ( lhs_atom36(X5,X6)
      | ~ model(esk39_2(X5,X6),X6)
      | ~ model(esk40_2(X5,X6),not(X5)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).

fof(c_0_112,plain,
    ! [X4,X5] :
      ( lhs_atom20(X4,X5)
      | ~ model(esk21_2(X4,X5),X5)
      | ~ model(esk22_2(X4,X5),X4) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).

fof(c_0_113,plain,
    ! [X6,X7,X8,X10] :
      ( ( model(esk17_2(X6,X7),X7)
        | ~ model(X10,X6)
        | model(X10,X7)
        | ~ model(X8,X7)
        | lhs_atom16(X6,X7) )
      & ( ~ model(esk17_2(X6,X7),X6)
        | ~ model(X10,X6)
        | model(X10,X7)
        | ~ model(X8,X7)
        | lhs_atom16(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])])]) ).

fof(c_0_114,plain,
    ! [X9,X10] :
      ( ( status(esk49_2(X9,X10),esk50_2(X9,X10),X10)
        | lhs_atom46(X9,X10) )
      & ( status(esk49_2(X9,X10),esk50_2(X9,X10),X9)
        | lhs_atom46(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).

fof(c_0_115,plain,
    ! [X9,X10] :
      ( ( status(esk43_2(X9,X10),esk44_2(X9,X10),X10)
        | lhs_atom39(X9,X10) )
      & ( status(esk43_2(X9,X10),esk44_2(X9,X10),X9)
        | lhs_atom39(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_65])])]) ).

fof(c_0_116,plain,
    ! [X5,X6] :
      ( lhs_atom30(X5,X6)
      | model(esk33_2(X5,X6),X6)
      | ~ model(esk34_2(X5,X6),X5) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).

fof(c_0_117,plain,
    ! [X6,X7,X8,X9] :
      ( lhs_atom22(X6,X7)
      | ~ model(X8,X7)
      | model(X9,X7)
      | ~ model(esk25_2(X6,X7),X6) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).

fof(c_0_118,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom38(X5,X6)
      | ~ model(X7,X6)
      | ~ model(X7,X5)
      | ~ model(X8,X6)
      | ~ model(X8,not(X5)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).

fof(c_0_119,plain,
    ! [X5,X6,X7] :
      ( lhs_atom14(X5,X6)
      | ~ model(X7,X6)
      | ~ model(esk14_2(X5,X6),X5) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).

fof(c_0_120,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ model(X7,X6)
        | ~ model(X8,X5)
        | lhs_atom6(X5,X6) )
      & ( model(esk7_2(X5,X6),X6)
        | model(esk8_2(X5,X6),X5)
        | lhs_atom6(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])])]) ).

fof(c_0_121,plain,
    ! [X6,X7,X9,X10] :
      ( lhs_atom32(X6,X7)
      | model(esk37_2(X6,X7),X7)
      | ~ model(X9,X6)
      | model(X10,X6) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])]) ).

fof(c_0_122,plain,
    ! [X6,X7,X8] :
      ( ( ~ model(X8,X7)
        | lhs_atom31(X6,X7) )
      & ( model(esk35_2(X6,X7),X6)
        | lhs_atom31(X6,X7) )
      & ( ~ model(esk36_2(X6,X7),X6)
        | lhs_atom31(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])])]) ).

fof(c_0_123,plain,
    ! [X7,X8,X10] :
      ( ( model(esk26_2(X7,X8),X8)
        | lhs_atom23(X7,X8) )
      & ( ~ model(X10,X8)
        | model(X10,X7)
        | lhs_atom23(X7,X8) )
      & ( model(esk27_2(X7,X8),X7)
        | lhs_atom23(X7,X8) )
      & ( ~ model(esk27_2(X7,X8),X8)
        | lhs_atom23(X7,X8) )
      & ( ~ model(esk28_2(X7,X8),X7)
        | lhs_atom23(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])])]) ).

fof(c_0_124,plain,
    ! [X6,X7,X10] :
      ( ( model(esk23_2(X6,X7),X7)
        | lhs_atom21(X6,X7) )
      & ( ~ model(esk24_2(X6,X7),X7)
        | lhs_atom21(X6,X7) )
      & ( model(X10,X6)
        | lhs_atom21(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_74])])])]) ).

fof(c_0_125,plain,
    ! [X6,X7,X10,X11] :
      ( ( model(esk18_2(X6,X7),X7)
        | lhs_atom17(X6,X7) )
      & ( ~ model(esk19_2(X6,X7),X7)
        | lhs_atom17(X6,X7) )
      & ( ~ model(X10,X7)
        | model(X10,X6)
        | lhs_atom17(X6,X7) )
      & ( ~ model(X11,X6)
        | model(X11,X7)
        | lhs_atom17(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])])])]) ).

fof(c_0_126,plain,
    ! [X6,X7,X9] :
      ( ( model(esk15_2(X6,X7),X7)
        | lhs_atom15(X6,X7) )
      & ( ~ model(X9,X7)
        | model(X9,X6)
        | lhs_atom15(X6,X7) )
      & ( model(esk16_2(X6,X7),X6)
        | lhs_atom15(X6,X7) )
      & ( ~ model(esk16_2(X6,X7),X7)
        | lhs_atom15(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])])]) ).

fof(c_0_127,plain,
    ! [X4,X5] :
      ( ( model(esk10_2(X4,X5),X5)
        | lhs_atom10(X4,X5) )
      & ( ~ model(esk10_2(X4,X5),X4)
        | lhs_atom10(X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])]) ).

fof(c_0_128,plain,
    ! [X5,X6,X8] :
      ( lhs_atom28(X5,X6)
      | model(esk32_2(X5,X6),X6)
      | ~ model(X8,X5) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).

fof(c_0_129,plain,
    ! [X5,X6,X7,X9] :
      ( ( ~ model(X7,X6)
        | model(esk5_2(X5,X6),X5)
        | lhs_atom5(X5,X6) )
      & ( ~ model(X9,X5)
        | model(esk6_2(X5,X6),X6)
        | lhs_atom5(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])])]) ).

fof(c_0_130,plain,
    ! [X5,X6,X7] :
      ( lhs_atom3(X5,X6)
      | ~ model(X7,X6)
      | model(esk3_2(X5,X6),X5) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).

fof(c_0_131,plain,
    ! [X5,X6,X8] :
      ( lhs_atom1(X5,X6)
      | model(esk1_2(X5,X6),X6)
      | ~ model(X8,X5) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])]) ).

fof(c_0_132,plain,
    ! [X4,X5,X6] :
      ( lhs_atom34(X4,X5)
      | ~ model(X6,X5)
      | ~ model(X6,not(X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])]) ).

fof(c_0_133,plain,
    ! [X5,X6] :
      ( ( model(esk41_2(X5,X6),X6)
        | lhs_atom37(X5,X6) )
      & ( model(esk41_2(X5,X6),X5)
        | lhs_atom37(X5,X6) )
      & ( model(esk42_2(X5,X6),X6)
        | lhs_atom37(X5,X6) )
      & ( model(esk42_2(X5,X6),not(X5))
        | lhs_atom37(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_83])])]) ).

fof(c_0_134,plain,
    ! [X4,X5] :
      ( ( model(esk38_2(X4,X5),X5)
        | lhs_atom33(X4,X5) )
      & ( model(esk38_2(X4,X5),not(X4))
        | lhs_atom33(X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_84])])]) ).

fof(c_0_135,plain,
    ! [X4,X5,X6] :
      ( lhs_atom8(X4,X5)
      | ~ model(X6,X5)
      | ~ model(X6,X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).

fof(c_0_136,plain,
    ! [X5,X6,X7] :
      ( ( ~ model(X7,X6)
        | lhs_atom27(X5,X6) )
      & ( model(esk31_2(X5,X6),X5)
        | lhs_atom27(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])])]) ).

fof(c_0_137,plain,
    ! [X4,X5] :
      ( lhs_atom26(X4,X5)
      | model(esk30_2(X4,X5),X5) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_87])]) ).

fof(c_0_138,plain,
    ! [X5,X6,X8] :
      ( ( model(esk13_2(X5,X6),X6)
        | lhs_atom13(X5,X6) )
      & ( model(X8,X5)
        | lhs_atom13(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_88])])])]) ).

fof(c_0_139,plain,
    ! [X5,X6,X8,X9] :
      ( ( model(esk11_2(X5,X6),X6)
        | lhs_atom11(X5,X6) )
      & ( ~ model(X8,X6)
        | model(X8,X5)
        | lhs_atom11(X5,X6) )
      & ( ~ model(X9,X5)
        | model(X9,X6)
        | lhs_atom11(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])])])]) ).

fof(c_0_140,plain,
    ! [X4,X5] :
      ( ( model(esk9_2(X4,X5),X5)
        | lhs_atom7(X4,X5) )
      & ( model(esk9_2(X4,X5),X4)
        | lhs_atom7(X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_90])])]) ).

fof(c_0_141,plain,
    ! [X5,X6,X8] :
      ( ( model(esk4_2(X5,X6),X6)
        | lhs_atom4(X5,X6) )
      & ( ~ model(X8,X5)
        | lhs_atom4(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])])]) ).

fof(c_0_142,plain,
    ! [X5,X6,X7] :
      ( ( ~ model(X7,X6)
        | lhs_atom2(X5,X6) )
      & ( model(esk2_2(X5,X6),X5)
        | lhs_atom2(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])])]) ).

fof(c_0_143,plain,
    ! [X4,X5,X6] :
      ( lhs_atom9(X4,X5)
      | ~ model(X6,X5)
      | model(X6,X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])]) ).

fof(c_0_144,plain,
    ! [X11,X12] :
      ( lhs_atom49(X11,X12)
      | ~ model(X11,not(X12)) ),
    inference(variable_rename,[status(thm)],[c_0_94]) ).

fof(c_0_145,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ model(X7,X6)
        | lhs_atom29(X5,X6) )
      & ( model(X8,X5)
        | lhs_atom29(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])]) ).

fof(c_0_146,plain,
    ! [X4,X5,X6] :
      ( lhs_atom25(X4,X5)
      | ~ model(X6,X5) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])]) ).

fof(c_0_147,plain,
    ! [X11,X12] :
      ( lhs_atom50(X11,X12)
      | model(X11,not(X12)) ),
    inference(variable_rename,[status(thm)],[c_0_97]) ).

fof(c_0_148,plain,
    ! [X5,X6,X7,X8] :
      ( ( model(X7,X6)
        | lhs_atom35(X5,X6) )
      & ( model(X8,not(X5))
        | lhs_atom35(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_98])])]) ).

fof(c_0_149,plain,
    ! [X4,X5,X6,X7] :
      ( ( model(X6,X5)
        | lhs_atom19(X4,X5) )
      & ( model(X7,X4)
        | lhs_atom19(X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_99])])])]) ).

cnf(c_0_150,plain,
    ( lhs_atom48(X1,X2)
    | status(esk51_2(X1,X2),esk52_2(X1,X2),X1)
    | ~ status(esk51_2(X1,X2),esk52_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_151,plain,
    ( lhs_atom48(X1,X2)
    | status(esk51_2(X1,X2),esk52_2(X1,X2),X2)
    | ~ status(esk51_2(X1,X2),esk52_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_152,plain,
    ( lhs_atom47(X1,X2)
    | ~ status(X3,X4,X1)
    | ~ status(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_153,plain,
    ( lhs_atom45(X3,X4)
    | ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_154,plain,
    ( lhs_atom40(X3,X4)
    | ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_155,plain,
    ( lhs_atom43(X1,X2)
    | ~ status(esk47_2(X1,X2),esk48_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_156,plain,
    ( lhs_atom42(X1,X2)
    | ~ status(esk45_2(X1,X2),esk46_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_157,plain,
    ( lhs_atom18(X1,X2)
    | model(X4,X2)
    | ~ model(X3,X2)
    | ~ model(esk20_2(X1,X2),X1)
    | ~ model(esk20_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_158,plain,
    ( lhs_atom12(X1,X2)
    | ~ model(X3,X2)
    | ~ model(esk12_2(X1,X2),X1)
    | ~ model(esk12_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_159,plain,
    ( status(X1,X2,X3)
    | lhs_atom44(X3,X4)
    | ~ status(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_160,plain,
    ( status(X1,X2,X3)
    | lhs_atom41(X3,X4)
    | ~ status(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_161,plain,
    ( lhs_atom24(X1,X2)
    | model(X4,X1)
    | model(X5,X2)
    | ~ model(X3,X2)
    | ~ model(X5,X1)
    | ~ model(esk29_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_162,plain,
    ( lhs_atom36(X1,X2)
    | ~ model(esk40_2(X1,X2),not(X1))
    | ~ model(esk39_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_163,plain,
    ( lhs_atom20(X1,X2)
    | ~ model(esk22_2(X1,X2),X1)
    | ~ model(esk21_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_164,plain,
    ( lhs_atom16(X1,X2)
    | model(X4,X2)
    | ~ model(X3,X2)
    | ~ model(X4,X1)
    | ~ model(esk17_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_165,plain,
    ( lhs_atom18(X1,X2)
    | model(X4,X2)
    | model(esk20_2(X1,X2),X1)
    | model(esk20_2(X1,X2),X2)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_166,plain,
    ( lhs_atom24(X1,X2)
    | model(X4,X1)
    | model(X5,X2)
    | model(esk29_2(X1,X2),X2)
    | ~ model(X3,X2)
    | ~ model(X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_167,plain,
    ( lhs_atom47(X1,X2)
    | status(X3,X4,X1)
    | status(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_168,plain,
    ( lhs_atom46(X1,X2)
    | status(esk49_2(X1,X2),esk50_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_169,plain,
    ( lhs_atom46(X1,X2)
    | status(esk49_2(X1,X2),esk50_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_170,plain,
    ( lhs_atom43(X1,X2)
    | status(esk47_2(X1,X2),esk48_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_171,plain,
    ( lhs_atom42(X1,X2)
    | status(esk45_2(X1,X2),esk46_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_172,plain,
    ( lhs_atom39(X1,X2)
    | status(esk43_2(X1,X2),esk44_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_173,plain,
    ( lhs_atom39(X1,X2)
    | status(esk43_2(X1,X2),esk44_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_174,plain,
    ( model(esk33_2(X1,X2),X2)
    | lhs_atom30(X1,X2)
    | ~ model(esk34_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_175,plain,
    ( lhs_atom12(X1,X2)
    | model(esk12_2(X1,X2),X1)
    | model(esk12_2(X1,X2),X2)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_176,plain,
    ( model(X3,X2)
    | lhs_atom22(X1,X2)
    | ~ model(esk25_2(X1,X2),X1)
    | ~ model(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_177,plain,
    ( lhs_atom38(X2,X3)
    | ~ model(X1,not(X2))
    | ~ model(X1,X3)
    | ~ model(X4,X2)
    | ~ model(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_178,plain,
    ( lhs_atom16(X1,X2)
    | model(X4,X2)
    | model(esk17_2(X1,X2),X2)
    | ~ model(X3,X2)
    | ~ model(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_179,plain,
    ( lhs_atom14(X1,X2)
    | ~ model(esk14_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_180,plain,
    ( lhs_atom6(X1,X2)
    | model(esk8_2(X1,X2),X1)
    | model(esk7_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_181,plain,
    ( model(X1,X2)
    | model(esk37_2(X2,X4),X4)
    | lhs_atom32(X2,X4)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_182,plain,
    ( lhs_atom31(X1,X2)
    | ~ model(esk36_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_183,plain,
    ( lhs_atom23(X1,X2)
    | ~ model(esk27_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_184,plain,
    ( lhs_atom23(X1,X2)
    | ~ model(esk28_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_185,plain,
    ( lhs_atom21(X1,X2)
    | ~ model(esk24_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_186,plain,
    ( lhs_atom17(X1,X2)
    | ~ model(esk19_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_187,plain,
    ( lhs_atom15(X1,X2)
    | ~ model(esk16_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_188,plain,
    ( lhs_atom10(X1,X2)
    | ~ model(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_189,plain,
    ( model(esk32_2(X2,X3),X3)
    | lhs_atom28(X2,X3)
    | ~ model(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_190,plain,
    ( lhs_atom5(X1,X2)
    | model(esk5_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_191,plain,
    ( lhs_atom5(X1,X2)
    | model(esk6_2(X1,X2),X2)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_192,plain,
    ( model(esk3_2(X1,X2),X1)
    | lhs_atom3(X1,X2)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_193,plain,
    ( model(esk1_2(X2,X3),X3)
    | lhs_atom1(X2,X3)
    | ~ model(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_194,plain,
    ( lhs_atom34(X2,X3)
    | ~ model(X1,not(X2))
    | ~ model(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_195,plain,
    ( lhs_atom37(X1,X2)
    | model(esk42_2(X1,X2),not(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_196,plain,
    ( lhs_atom33(X1,X2)
    | model(esk38_2(X1,X2),not(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_197,plain,
    ( lhs_atom8(X2,X3)
    | ~ model(X1,X2)
    | ~ model(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_198,plain,
    ( lhs_atom6(X1,X2)
    | ~ model(X3,X1)
    | ~ model(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_199,plain,
    ( lhs_atom37(X1,X2)
    | model(esk41_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_200,plain,
    ( lhs_atom37(X1,X2)
    | model(esk41_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_201,plain,
    ( lhs_atom37(X1,X2)
    | model(esk42_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_202,plain,
    ( lhs_atom33(X1,X2)
    | model(esk38_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_203,plain,
    ( lhs_atom31(X1,X2)
    | model(esk35_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_204,plain,
    ( lhs_atom27(X1,X2)
    | model(esk31_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_205,plain,
    ( model(esk30_2(X1,X2),X2)
    | lhs_atom26(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_206,plain,
    ( lhs_atom23(X1,X2)
    | model(esk26_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_207,plain,
    ( lhs_atom23(X1,X2)
    | model(esk27_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_208,plain,
    ( lhs_atom21(X1,X2)
    | model(esk23_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_209,plain,
    ( lhs_atom17(X1,X2)
    | model(esk18_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_210,plain,
    ( lhs_atom15(X1,X2)
    | model(esk15_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_211,plain,
    ( lhs_atom15(X1,X2)
    | model(esk16_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_212,plain,
    ( lhs_atom13(X1,X2)
    | model(esk13_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_213,plain,
    ( lhs_atom11(X1,X2)
    | model(esk11_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_214,plain,
    ( lhs_atom10(X1,X2)
    | model(esk10_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_215,plain,
    ( lhs_atom7(X1,X2)
    | model(esk9_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_216,plain,
    ( lhs_atom7(X1,X2)
    | model(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_217,plain,
    ( lhs_atom4(X1,X2)
    | model(esk4_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_218,plain,
    ( lhs_atom2(X1,X2)
    | model(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_219,plain,
    ( lhs_atom23(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_220,plain,
    ( lhs_atom17(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_221,plain,
    ( lhs_atom17(X1,X2)
    | model(X3,X2)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_222,plain,
    ( lhs_atom15(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_223,plain,
    ( lhs_atom11(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_224,plain,
    ( lhs_atom11(X1,X2)
    | model(X3,X2)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_225,plain,
    ( model(X1,X2)
    | lhs_atom9(X2,X3)
    | ~ model(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_226,plain,
    ( lhs_atom49(X1,X2)
    | ~ model(X1,not(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_227,plain,
    ( lhs_atom31(X1,X2)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_228,plain,
    ( lhs_atom29(X1,X2)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_229,plain,
    ( lhs_atom27(X1,X2)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_230,plain,
    ( lhs_atom25(X3,X2)
    | ~ model(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_231,plain,
    ( lhs_atom4(X1,X2)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_232,plain,
    ( lhs_atom2(X1,X2)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_233,plain,
    ( model(X1,not(X2))
    | lhs_atom50(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_234,plain,
    ( lhs_atom35(X1,X2)
    | model(X3,not(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_235,plain,
    ( lhs_atom35(X1,X2)
    | model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_236,plain,
    ( lhs_atom29(X1,X2)
    | model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_237,plain,
    ( lhs_atom21(X1,X2)
    | model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_238,plain,
    ( lhs_atom19(X1,X2)
    | model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_239,plain,
    ( lhs_atom19(X1,X2)
    | model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_240,plain,
    ( lhs_atom13(X1,X2)
    | model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_241,plain,
    ( lhs_atom48(X1,X2)
    | status(esk51_2(X1,X2),esk52_2(X1,X2),X1)
    | ~ status(esk51_2(X1,X2),esk52_2(X1,X2),X2) ),
    c_0_150,
    [final] ).

cnf(c_0_242,plain,
    ( lhs_atom48(X1,X2)
    | status(esk51_2(X1,X2),esk52_2(X1,X2),X2)
    | ~ status(esk51_2(X1,X2),esk52_2(X1,X2),X1) ),
    c_0_151,
    [final] ).

cnf(c_0_243,plain,
    ( lhs_atom47(X1,X2)
    | ~ status(X3,X4,X1)
    | ~ status(X3,X4,X2) ),
    c_0_152,
    [final] ).

cnf(c_0_244,plain,
    ( lhs_atom45(X3,X4)
    | ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    c_0_153,
    [final] ).

cnf(c_0_245,plain,
    ( lhs_atom40(X3,X4)
    | ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    c_0_154,
    [final] ).

cnf(c_0_246,plain,
    ( lhs_atom43(X1,X2)
    | ~ status(esk47_2(X1,X2),esk48_2(X1,X2),X1) ),
    c_0_155,
    [final] ).

cnf(c_0_247,plain,
    ( lhs_atom42(X1,X2)
    | ~ status(esk45_2(X1,X2),esk46_2(X1,X2),X1) ),
    c_0_156,
    [final] ).

cnf(c_0_248,plain,
    ( lhs_atom18(X1,X2)
    | model(X4,X2)
    | ~ model(X3,X2)
    | ~ model(esk20_2(X1,X2),X1)
    | ~ model(esk20_2(X1,X2),X2) ),
    c_0_157,
    [final] ).

cnf(c_0_249,plain,
    ( lhs_atom12(X1,X2)
    | ~ model(X3,X2)
    | ~ model(esk12_2(X1,X2),X1)
    | ~ model(esk12_2(X1,X2),X2) ),
    c_0_158,
    [final] ).

cnf(c_0_250,plain,
    ( status(X1,X2,X3)
    | lhs_atom44(X3,X4)
    | ~ status(X1,X2,X4) ),
    c_0_159,
    [final] ).

cnf(c_0_251,plain,
    ( status(X1,X2,X3)
    | lhs_atom41(X3,X4)
    | ~ status(X1,X2,X4) ),
    c_0_160,
    [final] ).

cnf(c_0_252,plain,
    ( lhs_atom24(X1,X2)
    | model(X4,X1)
    | model(X5,X2)
    | ~ model(X3,X2)
    | ~ model(X5,X1)
    | ~ model(esk29_2(X1,X2),X1) ),
    c_0_161,
    [final] ).

cnf(c_0_253,plain,
    ( lhs_atom36(X1,X2)
    | ~ model(esk40_2(X1,X2),not(X1))
    | ~ model(esk39_2(X1,X2),X2) ),
    c_0_162,
    [final] ).

cnf(c_0_254,plain,
    ( lhs_atom20(X1,X2)
    | ~ model(esk22_2(X1,X2),X1)
    | ~ model(esk21_2(X1,X2),X2) ),
    c_0_163,
    [final] ).

cnf(c_0_255,plain,
    ( lhs_atom16(X1,X2)
    | model(X4,X2)
    | ~ model(X3,X2)
    | ~ model(X4,X1)
    | ~ model(esk17_2(X1,X2),X1) ),
    c_0_164,
    [final] ).

cnf(c_0_256,plain,
    ( lhs_atom18(X1,X2)
    | model(X4,X2)
    | model(esk20_2(X1,X2),X1)
    | model(esk20_2(X1,X2),X2)
    | ~ model(X3,X2) ),
    c_0_165,
    [final] ).

cnf(c_0_257,plain,
    ( lhs_atom24(X1,X2)
    | model(X4,X1)
    | model(X5,X2)
    | model(esk29_2(X1,X2),X2)
    | ~ model(X3,X2)
    | ~ model(X5,X1) ),
    c_0_166,
    [final] ).

cnf(c_0_258,plain,
    ( lhs_atom47(X1,X2)
    | status(X3,X4,X1)
    | status(X3,X4,X2) ),
    c_0_167,
    [final] ).

cnf(c_0_259,plain,
    ( lhs_atom46(X1,X2)
    | status(esk49_2(X1,X2),esk50_2(X1,X2),X2) ),
    c_0_168,
    [final] ).

cnf(c_0_260,plain,
    ( lhs_atom46(X1,X2)
    | status(esk49_2(X1,X2),esk50_2(X1,X2),X1) ),
    c_0_169,
    [final] ).

cnf(c_0_261,plain,
    ( lhs_atom43(X1,X2)
    | status(esk47_2(X1,X2),esk48_2(X1,X2),X2) ),
    c_0_170,
    [final] ).

cnf(c_0_262,plain,
    ( lhs_atom42(X1,X2)
    | status(esk45_2(X1,X2),esk46_2(X1,X2),X2) ),
    c_0_171,
    [final] ).

cnf(c_0_263,plain,
    ( lhs_atom39(X1,X2)
    | status(esk43_2(X1,X2),esk44_2(X1,X2),X2) ),
    c_0_172,
    [final] ).

cnf(c_0_264,plain,
    ( lhs_atom39(X1,X2)
    | status(esk43_2(X1,X2),esk44_2(X1,X2),X1) ),
    c_0_173,
    [final] ).

cnf(c_0_265,plain,
    ( model(esk33_2(X1,X2),X2)
    | lhs_atom30(X1,X2)
    | ~ model(esk34_2(X1,X2),X1) ),
    c_0_174,
    [final] ).

cnf(c_0_266,plain,
    ( lhs_atom12(X1,X2)
    | model(esk12_2(X1,X2),X1)
    | model(esk12_2(X1,X2),X2)
    | ~ model(X3,X2) ),
    c_0_175,
    [final] ).

cnf(c_0_267,plain,
    ( model(X3,X2)
    | lhs_atom22(X1,X2)
    | ~ model(esk25_2(X1,X2),X1)
    | ~ model(X4,X2) ),
    c_0_176,
    [final] ).

cnf(c_0_268,plain,
    ( lhs_atom38(X2,X3)
    | ~ model(X1,not(X2))
    | ~ model(X1,X3)
    | ~ model(X4,X2)
    | ~ model(X4,X3) ),
    c_0_177,
    [final] ).

cnf(c_0_269,plain,
    ( lhs_atom16(X1,X2)
    | model(X4,X2)
    | model(esk17_2(X1,X2),X2)
    | ~ model(X3,X2)
    | ~ model(X4,X1) ),
    c_0_178,
    [final] ).

cnf(c_0_270,plain,
    ( lhs_atom14(X1,X2)
    | ~ model(esk14_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    c_0_179,
    [final] ).

cnf(c_0_271,plain,
    ( lhs_atom6(X1,X2)
    | model(esk8_2(X1,X2),X1)
    | model(esk7_2(X1,X2),X2) ),
    c_0_180,
    [final] ).

cnf(c_0_272,plain,
    ( model(X1,X2)
    | model(esk37_2(X2,X4),X4)
    | lhs_atom32(X2,X4)
    | ~ model(X3,X2) ),
    c_0_181,
    [final] ).

cnf(c_0_273,plain,
    ( lhs_atom31(X1,X2)
    | ~ model(esk36_2(X1,X2),X1) ),
    c_0_182,
    [final] ).

cnf(c_0_274,plain,
    ( lhs_atom23(X1,X2)
    | ~ model(esk27_2(X1,X2),X2) ),
    c_0_183,
    [final] ).

cnf(c_0_275,plain,
    ( lhs_atom23(X1,X2)
    | ~ model(esk28_2(X1,X2),X1) ),
    c_0_184,
    [final] ).

cnf(c_0_276,plain,
    ( lhs_atom21(X1,X2)
    | ~ model(esk24_2(X1,X2),X2) ),
    c_0_185,
    [final] ).

cnf(c_0_277,plain,
    ( lhs_atom17(X1,X2)
    | ~ model(esk19_2(X1,X2),X2) ),
    c_0_186,
    [final] ).

cnf(c_0_278,plain,
    ( lhs_atom15(X1,X2)
    | ~ model(esk16_2(X1,X2),X2) ),
    c_0_187,
    [final] ).

cnf(c_0_279,plain,
    ( lhs_atom10(X1,X2)
    | ~ model(esk10_2(X1,X2),X1) ),
    c_0_188,
    [final] ).

cnf(c_0_280,plain,
    ( model(esk32_2(X2,X3),X3)
    | lhs_atom28(X2,X3)
    | ~ model(X1,X2) ),
    c_0_189,
    [final] ).

cnf(c_0_281,plain,
    ( lhs_atom5(X1,X2)
    | model(esk5_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    c_0_190,
    [final] ).

cnf(c_0_282,plain,
    ( lhs_atom5(X1,X2)
    | model(esk6_2(X1,X2),X2)
    | ~ model(X3,X1) ),
    c_0_191,
    [final] ).

cnf(c_0_283,plain,
    ( model(esk3_2(X1,X2),X1)
    | lhs_atom3(X1,X2)
    | ~ model(X3,X2) ),
    c_0_192,
    [final] ).

cnf(c_0_284,plain,
    ( model(esk1_2(X2,X3),X3)
    | lhs_atom1(X2,X3)
    | ~ model(X1,X2) ),
    c_0_193,
    [final] ).

cnf(c_0_285,plain,
    ( lhs_atom34(X2,X3)
    | ~ model(X1,not(X2))
    | ~ model(X1,X3) ),
    c_0_194,
    [final] ).

cnf(c_0_286,plain,
    ( lhs_atom37(X1,X2)
    | model(esk42_2(X1,X2),not(X1)) ),
    c_0_195,
    [final] ).

cnf(c_0_287,plain,
    ( lhs_atom33(X1,X2)
    | model(esk38_2(X1,X2),not(X1)) ),
    c_0_196,
    [final] ).

cnf(c_0_288,plain,
    ( lhs_atom8(X2,X3)
    | ~ model(X1,X2)
    | ~ model(X1,X3) ),
    c_0_197,
    [final] ).

cnf(c_0_289,plain,
    ( lhs_atom6(X1,X2)
    | ~ model(X3,X1)
    | ~ model(X4,X2) ),
    c_0_198,
    [final] ).

cnf(c_0_290,plain,
    ( lhs_atom37(X1,X2)
    | model(esk41_2(X1,X2),X2) ),
    c_0_199,
    [final] ).

cnf(c_0_291,plain,
    ( lhs_atom37(X1,X2)
    | model(esk41_2(X1,X2),X1) ),
    c_0_200,
    [final] ).

cnf(c_0_292,plain,
    ( lhs_atom37(X1,X2)
    | model(esk42_2(X1,X2),X2) ),
    c_0_201,
    [final] ).

cnf(c_0_293,plain,
    ( lhs_atom33(X1,X2)
    | model(esk38_2(X1,X2),X2) ),
    c_0_202,
    [final] ).

cnf(c_0_294,plain,
    ( lhs_atom31(X1,X2)
    | model(esk35_2(X1,X2),X1) ),
    c_0_203,
    [final] ).

cnf(c_0_295,plain,
    ( lhs_atom27(X1,X2)
    | model(esk31_2(X1,X2),X1) ),
    c_0_204,
    [final] ).

cnf(c_0_296,plain,
    ( model(esk30_2(X1,X2),X2)
    | lhs_atom26(X1,X2) ),
    c_0_205,
    [final] ).

cnf(c_0_297,plain,
    ( lhs_atom23(X1,X2)
    | model(esk26_2(X1,X2),X2) ),
    c_0_206,
    [final] ).

cnf(c_0_298,plain,
    ( lhs_atom23(X1,X2)
    | model(esk27_2(X1,X2),X1) ),
    c_0_207,
    [final] ).

cnf(c_0_299,plain,
    ( lhs_atom21(X1,X2)
    | model(esk23_2(X1,X2),X2) ),
    c_0_208,
    [final] ).

cnf(c_0_300,plain,
    ( lhs_atom17(X1,X2)
    | model(esk18_2(X1,X2),X2) ),
    c_0_209,
    [final] ).

cnf(c_0_301,plain,
    ( lhs_atom15(X1,X2)
    | model(esk15_2(X1,X2),X2) ),
    c_0_210,
    [final] ).

cnf(c_0_302,plain,
    ( lhs_atom15(X1,X2)
    | model(esk16_2(X1,X2),X1) ),
    c_0_211,
    [final] ).

cnf(c_0_303,plain,
    ( lhs_atom13(X1,X2)
    | model(esk13_2(X1,X2),X2) ),
    c_0_212,
    [final] ).

cnf(c_0_304,plain,
    ( lhs_atom11(X1,X2)
    | model(esk11_2(X1,X2),X2) ),
    c_0_213,
    [final] ).

cnf(c_0_305,plain,
    ( lhs_atom10(X1,X2)
    | model(esk10_2(X1,X2),X2) ),
    c_0_214,
    [final] ).

cnf(c_0_306,plain,
    ( lhs_atom7(X1,X2)
    | model(esk9_2(X1,X2),X2) ),
    c_0_215,
    [final] ).

cnf(c_0_307,plain,
    ( lhs_atom7(X1,X2)
    | model(esk9_2(X1,X2),X1) ),
    c_0_216,
    [final] ).

cnf(c_0_308,plain,
    ( lhs_atom4(X1,X2)
    | model(esk4_2(X1,X2),X2) ),
    c_0_217,
    [final] ).

cnf(c_0_309,plain,
    ( lhs_atom2(X1,X2)
    | model(esk2_2(X1,X2),X1) ),
    c_0_218,
    [final] ).

cnf(c_0_310,plain,
    ( lhs_atom23(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    c_0_219,
    [final] ).

cnf(c_0_311,plain,
    ( lhs_atom17(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    c_0_220,
    [final] ).

cnf(c_0_312,plain,
    ( lhs_atom17(X1,X2)
    | model(X3,X2)
    | ~ model(X3,X1) ),
    c_0_221,
    [final] ).

cnf(c_0_313,plain,
    ( lhs_atom15(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    c_0_222,
    [final] ).

cnf(c_0_314,plain,
    ( lhs_atom11(X1,X2)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    c_0_223,
    [final] ).

cnf(c_0_315,plain,
    ( lhs_atom11(X1,X2)
    | model(X3,X2)
    | ~ model(X3,X1) ),
    c_0_224,
    [final] ).

cnf(c_0_316,plain,
    ( model(X1,X2)
    | lhs_atom9(X2,X3)
    | ~ model(X1,X3) ),
    c_0_225,
    [final] ).

cnf(c_0_317,plain,
    ( lhs_atom49(X1,X2)
    | ~ model(X1,not(X2)) ),
    c_0_226,
    [final] ).

cnf(c_0_318,plain,
    ( lhs_atom31(X1,X2)
    | ~ model(X3,X2) ),
    c_0_227,
    [final] ).

cnf(c_0_319,plain,
    ( lhs_atom29(X1,X2)
    | ~ model(X3,X2) ),
    c_0_228,
    [final] ).

cnf(c_0_320,plain,
    ( lhs_atom27(X1,X2)
    | ~ model(X3,X2) ),
    c_0_229,
    [final] ).

cnf(c_0_321,plain,
    ( lhs_atom25(X3,X2)
    | ~ model(X1,X2) ),
    c_0_230,
    [final] ).

cnf(c_0_322,plain,
    ( lhs_atom4(X1,X2)
    | ~ model(X3,X1) ),
    c_0_231,
    [final] ).

cnf(c_0_323,plain,
    ( lhs_atom2(X1,X2)
    | ~ model(X3,X2) ),
    c_0_232,
    [final] ).

cnf(c_0_324,plain,
    ( model(X1,not(X2))
    | lhs_atom50(X1,X2) ),
    c_0_233,
    [final] ).

cnf(c_0_325,plain,
    ( lhs_atom35(X1,X2)
    | model(X3,not(X1)) ),
    c_0_234,
    [final] ).

cnf(c_0_326,plain,
    ( lhs_atom35(X1,X2)
    | model(X3,X2) ),
    c_0_235,
    [final] ).

cnf(c_0_327,plain,
    ( lhs_atom29(X1,X2)
    | model(X3,X1) ),
    c_0_236,
    [final] ).

cnf(c_0_328,plain,
    ( lhs_atom21(X1,X2)
    | model(X3,X1) ),
    c_0_237,
    [final] ).

cnf(c_0_329,plain,
    ( lhs_atom19(X1,X2)
    | model(X3,X2) ),
    c_0_238,
    [final] ).

cnf(c_0_330,plain,
    ( lhs_atom19(X1,X2)
    | model(X3,X1) ),
    c_0_239,
    [final] ).

cnf(c_0_331,plain,
    ( lhs_atom13(X1,X2)
    | model(X3,X1) ),
    c_0_240,
    [final] ).

% End CNF derivation
cnf(c_0_241_0,axiom,
    ( xora(X2,X1)
    | status(sk1_esk51_2(X1,X2),sk1_esk52_2(X1,X2),X1)
    | ~ status(sk1_esk51_2(X1,X2),sk1_esk52_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_241,def_lhs_atom48]) ).

cnf(c_0_242_0,axiom,
    ( xora(X2,X1)
    | status(sk1_esk51_2(X1,X2),sk1_esk52_2(X1,X2),X2)
    | ~ status(sk1_esk51_2(X1,X2),sk1_esk52_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_242,def_lhs_atom48]) ).

cnf(c_0_243_0,axiom,
    ( ~ xora(X2,X1)
    | ~ status(X3,X4,X1)
    | ~ status(X3,X4,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_243,def_lhs_atom47]) ).

cnf(c_0_244_0,axiom,
    ( ~ nevera(X4,X3)
    | ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_244,def_lhs_atom45]) ).

cnf(c_0_245_0,axiom,
    ( mighta(X4,X3)
    | ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_245,def_lhs_atom40]) ).

cnf(c_0_246_0,axiom,
    ( ~ nota(X2,X1)
    | ~ status(sk1_esk47_2(X1,X2),sk1_esk48_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_246,def_lhs_atom43]) ).

cnf(c_0_247_0,axiom,
    ( isa(X2,X1)
    | ~ status(sk1_esk45_2(X1,X2),sk1_esk46_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_247,def_lhs_atom42]) ).

cnf(c_0_248_0,axiom,
    ( status(X2,X1,eth)
    | model(X4,X2)
    | ~ model(X3,X2)
    | ~ model(sk1_esk20_2(X1,X2),X1)
    | ~ model(sk1_esk20_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_248,def_lhs_atom18]) ).

cnf(c_0_249_0,axiom,
    ( status(X2,X1,eqv)
    | ~ model(X3,X2)
    | ~ model(sk1_esk12_2(X1,X2),X1)
    | ~ model(sk1_esk12_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_249,def_lhs_atom12]) ).

cnf(c_0_250_0,axiom,
    ( nota(X4,X3)
    | status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_250,def_lhs_atom44]) ).

cnf(c_0_251_0,axiom,
    ( ~ isa(X4,X3)
    | status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_251,def_lhs_atom41]) ).

cnf(c_0_252_0,axiom,
    ( status(X2,X1,wth)
    | model(X4,X1)
    | model(X5,X2)
    | ~ model(X3,X2)
    | ~ model(X5,X1)
    | ~ model(sk1_esk29_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_252,def_lhs_atom24]) ).

cnf(c_0_253_0,axiom,
    ( status(X2,X1,uns)
    | ~ model(sk1_esk40_2(X1,X2),not(X1))
    | ~ model(sk1_esk39_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_253,def_lhs_atom36]) ).

cnf(c_0_254_0,axiom,
    ( status(X2,X1,tau)
    | ~ model(sk1_esk22_2(X1,X2),X1)
    | ~ model(sk1_esk21_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_254,def_lhs_atom20]) ).

cnf(c_0_255_0,axiom,
    ( status(X2,X1,wec)
    | model(X4,X2)
    | ~ model(X3,X2)
    | ~ model(X4,X1)
    | ~ model(sk1_esk17_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_255,def_lhs_atom16]) ).

cnf(c_0_256_0,axiom,
    ( status(X2,X1,eth)
    | model(X4,X2)
    | model(sk1_esk20_2(X1,X2),X1)
    | model(sk1_esk20_2(X1,X2),X2)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_256,def_lhs_atom18]) ).

cnf(c_0_257_0,axiom,
    ( status(X2,X1,wth)
    | model(X4,X1)
    | model(X5,X2)
    | model(sk1_esk29_2(X1,X2),X2)
    | ~ model(X3,X2)
    | ~ model(X5,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_257,def_lhs_atom24]) ).

cnf(c_0_258_0,axiom,
    ( ~ xora(X2,X1)
    | status(X3,X4,X1)
    | status(X3,X4,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_258,def_lhs_atom47]) ).

cnf(c_0_259_0,axiom,
    ( nevera(X2,X1)
    | status(sk1_esk49_2(X1,X2),sk1_esk50_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_259,def_lhs_atom46]) ).

cnf(c_0_260_0,axiom,
    ( nevera(X2,X1)
    | status(sk1_esk49_2(X1,X2),sk1_esk50_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_260,def_lhs_atom46]) ).

cnf(c_0_261_0,axiom,
    ( ~ nota(X2,X1)
    | status(sk1_esk47_2(X1,X2),sk1_esk48_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_261,def_lhs_atom43]) ).

cnf(c_0_262_0,axiom,
    ( isa(X2,X1)
    | status(sk1_esk45_2(X1,X2),sk1_esk46_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_262,def_lhs_atom42]) ).

cnf(c_0_263_0,axiom,
    ( ~ mighta(X2,X1)
    | status(sk1_esk43_2(X1,X2),sk1_esk44_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_263,def_lhs_atom39]) ).

cnf(c_0_264_0,axiom,
    ( ~ mighta(X2,X1)
    | status(sk1_esk43_2(X1,X2),sk1_esk44_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_264,def_lhs_atom39]) ).

cnf(c_0_265_0,axiom,
    ( status(X2,X1,tca)
    | model(sk1_esk33_2(X1,X2),X2)
    | ~ model(sk1_esk34_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_265,def_lhs_atom30]) ).

cnf(c_0_266_0,axiom,
    ( status(X2,X1,eqv)
    | model(sk1_esk12_2(X1,X2),X1)
    | model(sk1_esk12_2(X1,X2),X2)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_266,def_lhs_atom12]) ).

cnf(c_0_267_0,axiom,
    ( status(X2,X1,wtc)
    | model(X3,X2)
    | ~ model(sk1_esk25_2(X1,X2),X1)
    | ~ model(X4,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_267,def_lhs_atom22]) ).

cnf(c_0_268_0,axiom,
    ( status(X3,X2,noc)
    | ~ model(X1,not(X2))
    | ~ model(X1,X3)
    | ~ model(X4,X2)
    | ~ model(X4,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_268,def_lhs_atom38]) ).

cnf(c_0_269_0,axiom,
    ( status(X2,X1,wec)
    | model(X4,X2)
    | model(sk1_esk17_2(X1,X2),X2)
    | ~ model(X3,X2)
    | ~ model(X4,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_269,def_lhs_atom16]) ).

cnf(c_0_270_0,axiom,
    ( status(X2,X1,tac)
    | ~ model(sk1_esk14_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_270,def_lhs_atom14]) ).

cnf(c_0_271_0,axiom,
    ( status(X2,X1,esa)
    | model(sk1_esk8_2(X1,X2),X1)
    | model(sk1_esk7_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_271,def_lhs_atom6]) ).

cnf(c_0_272_0,axiom,
    ( status(X4,X2,wca)
    | model(X1,X2)
    | model(sk1_esk37_2(X2,X4),X4)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_272,def_lhs_atom32]) ).

cnf(c_0_273_0,axiom,
    ( ~ status(X2,X1,wca)
    | ~ model(sk1_esk36_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_273,def_lhs_atom31]) ).

cnf(c_0_274_0,axiom,
    ( ~ status(X2,X1,wth)
    | ~ model(sk1_esk27_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_274,def_lhs_atom23]) ).

cnf(c_0_275_0,axiom,
    ( ~ status(X2,X1,wth)
    | ~ model(sk1_esk28_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_275,def_lhs_atom23]) ).

cnf(c_0_276_0,axiom,
    ( ~ status(X2,X1,wtc)
    | ~ model(sk1_esk24_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_276,def_lhs_atom21]) ).

cnf(c_0_277_0,axiom,
    ( ~ status(X2,X1,eth)
    | ~ model(sk1_esk19_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_277,def_lhs_atom17]) ).

cnf(c_0_278_0,axiom,
    ( ~ status(X2,X1,wec)
    | ~ model(sk1_esk16_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_278,def_lhs_atom15]) ).

cnf(c_0_279_0,axiom,
    ( status(X2,X1,thm)
    | ~ model(sk1_esk10_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_279,def_lhs_atom10]) ).

cnf(c_0_280_0,axiom,
    ( status(X3,X2,sca)
    | model(sk1_esk32_2(X2,X3),X3)
    | ~ model(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_280,def_lhs_atom28]) ).

cnf(c_0_281_0,axiom,
    ( ~ status(X2,X1,esa)
    | model(sk1_esk5_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_281,def_lhs_atom5]) ).

cnf(c_0_282_0,axiom,
    ( ~ status(X2,X1,esa)
    | model(sk1_esk6_2(X1,X2),X2)
    | ~ model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_282,def_lhs_atom5]) ).

cnf(c_0_283_0,axiom,
    ( ~ status(X2,X1,sap)
    | model(sk1_esk3_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_283,def_lhs_atom3]) ).

cnf(c_0_284_0,axiom,
    ( ~ status(X3,X2,unp)
    | model(sk1_esk1_2(X2,X3),X3)
    | ~ model(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_284,def_lhs_atom1]) ).

cnf(c_0_285_0,axiom,
    ( status(X3,X2,csa)
    | ~ model(X1,not(X2))
    | ~ model(X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_285,def_lhs_atom34]) ).

cnf(c_0_286_0,axiom,
    ( ~ status(X2,X1,noc)
    | model(sk1_esk42_2(X1,X2),not(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_286,def_lhs_atom37]) ).

cnf(c_0_287_0,axiom,
    ( ~ status(X2,X1,csa)
    | model(sk1_esk38_2(X1,X2),not(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_287,def_lhs_atom33]) ).

cnf(c_0_288_0,axiom,
    ( status(X3,X2,sat)
    | ~ model(X1,X2)
    | ~ model(X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_288,def_lhs_atom8]) ).

cnf(c_0_289_0,axiom,
    ( status(X2,X1,esa)
    | ~ model(X3,X1)
    | ~ model(X4,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_289,def_lhs_atom6]) ).

cnf(c_0_290_0,axiom,
    ( ~ status(X2,X1,noc)
    | model(sk1_esk41_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_290,def_lhs_atom37]) ).

cnf(c_0_291_0,axiom,
    ( ~ status(X2,X1,noc)
    | model(sk1_esk41_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_291,def_lhs_atom37]) ).

cnf(c_0_292_0,axiom,
    ( ~ status(X2,X1,noc)
    | model(sk1_esk42_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_292,def_lhs_atom37]) ).

cnf(c_0_293_0,axiom,
    ( ~ status(X2,X1,csa)
    | model(sk1_esk38_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_293,def_lhs_atom33]) ).

cnf(c_0_294_0,axiom,
    ( ~ status(X2,X1,wca)
    | model(sk1_esk35_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_294,def_lhs_atom31]) ).

cnf(c_0_295_0,axiom,
    ( ~ status(X2,X1,sca)
    | model(sk1_esk31_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_295,def_lhs_atom27]) ).

cnf(c_0_296_0,axiom,
    ( status(X2,X1,cax)
    | model(sk1_esk30_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_296,def_lhs_atom26]) ).

cnf(c_0_297_0,axiom,
    ( ~ status(X2,X1,wth)
    | model(sk1_esk26_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_297,def_lhs_atom23]) ).

cnf(c_0_298_0,axiom,
    ( ~ status(X2,X1,wth)
    | model(sk1_esk27_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_298,def_lhs_atom23]) ).

cnf(c_0_299_0,axiom,
    ( ~ status(X2,X1,wtc)
    | model(sk1_esk23_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_299,def_lhs_atom21]) ).

cnf(c_0_300_0,axiom,
    ( ~ status(X2,X1,eth)
    | model(sk1_esk18_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_300,def_lhs_atom17]) ).

cnf(c_0_301_0,axiom,
    ( ~ status(X2,X1,wec)
    | model(sk1_esk15_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_301,def_lhs_atom15]) ).

cnf(c_0_302_0,axiom,
    ( ~ status(X2,X1,wec)
    | model(sk1_esk16_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_302,def_lhs_atom15]) ).

cnf(c_0_303_0,axiom,
    ( ~ status(X2,X1,tac)
    | model(sk1_esk13_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_303,def_lhs_atom13]) ).

cnf(c_0_304_0,axiom,
    ( ~ status(X2,X1,eqv)
    | model(sk1_esk11_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_304,def_lhs_atom11]) ).

cnf(c_0_305_0,axiom,
    ( status(X2,X1,thm)
    | model(sk1_esk10_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_305,def_lhs_atom10]) ).

cnf(c_0_306_0,axiom,
    ( ~ status(X2,X1,sat)
    | model(sk1_esk9_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom7]) ).

cnf(c_0_307_0,axiom,
    ( ~ status(X2,X1,sat)
    | model(sk1_esk9_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom7]) ).

cnf(c_0_308_0,axiom,
    ( status(X2,X1,sap)
    | model(sk1_esk4_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_308,def_lhs_atom4]) ).

cnf(c_0_309_0,axiom,
    ( status(X2,X1,unp)
    | model(sk1_esk2_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_309,def_lhs_atom2]) ).

cnf(c_0_310_0,axiom,
    ( ~ status(X2,X1,wth)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_310,def_lhs_atom23]) ).

cnf(c_0_311_0,axiom,
    ( ~ status(X2,X1,eth)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_311,def_lhs_atom17]) ).

cnf(c_0_312_0,axiom,
    ( ~ status(X2,X1,eth)
    | model(X3,X2)
    | ~ model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_312,def_lhs_atom17]) ).

cnf(c_0_313_0,axiom,
    ( ~ status(X2,X1,wec)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_313,def_lhs_atom15]) ).

cnf(c_0_314_0,axiom,
    ( ~ status(X2,X1,eqv)
    | model(X3,X1)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_314,def_lhs_atom11]) ).

cnf(c_0_315_0,axiom,
    ( ~ status(X2,X1,eqv)
    | model(X3,X2)
    | ~ model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_315,def_lhs_atom11]) ).

cnf(c_0_316_0,axiom,
    ( ~ status(X3,X2,thm)
    | model(X1,X2)
    | ~ model(X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_316,def_lhs_atom9]) ).

cnf(c_0_317_0,axiom,
    ( ~ model(X1,X2)
    | ~ model(X1,not(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_317,def_lhs_atom49]) ).

cnf(c_0_318_0,axiom,
    ( ~ status(X2,X1,wca)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_318,def_lhs_atom31]) ).

cnf(c_0_319_0,axiom,
    ( ~ status(X2,X1,tca)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_319,def_lhs_atom29]) ).

cnf(c_0_320_0,axiom,
    ( ~ status(X2,X1,sca)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_320,def_lhs_atom27]) ).

cnf(c_0_321_0,axiom,
    ( ~ status(X2,X3,cax)
    | ~ model(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_321,def_lhs_atom25]) ).

cnf(c_0_322_0,axiom,
    ( status(X2,X1,sap)
    | ~ model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_322,def_lhs_atom4]) ).

cnf(c_0_323_0,axiom,
    ( status(X2,X1,unp)
    | ~ model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_323,def_lhs_atom2]) ).

cnf(c_0_324_0,axiom,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_324,def_lhs_atom50]) ).

cnf(c_0_325_0,axiom,
    ( ~ status(X2,X1,uns)
    | model(X3,not(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_325,def_lhs_atom35]) ).

cnf(c_0_326_0,axiom,
    ( ~ status(X2,X1,uns)
    | model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_326,def_lhs_atom35]) ).

cnf(c_0_327_0,axiom,
    ( ~ status(X2,X1,tca)
    | model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_327,def_lhs_atom29]) ).

cnf(c_0_328_0,axiom,
    ( ~ status(X2,X1,wtc)
    | model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_328,def_lhs_atom21]) ).

cnf(c_0_329_0,axiom,
    ( ~ status(X2,X1,tau)
    | model(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_329,def_lhs_atom19]) ).

cnf(c_0_330_0,axiom,
    ( ~ status(X2,X1,tau)
    | model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_330,def_lhs_atom19]) ).

cnf(c_0_331_0,axiom,
    ( ~ status(X2,X1,tac)
    | model(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_331,def_lhs_atom13]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X8,X7] :
      ( model(X8,X7)
    <~> model(X8,not(X7)) ),
    file('<stdin>',completeness) ).

fof(c_0_1_002,axiom,
    ? [X2,X3] :
      ( ? [X1] :
          ( model(X1,X2)
          & model(X1,X3) )
      & ? [X4] :
          ( ~ model(X4,X2)
          | ~ model(X4,X3) ) ),
    file('<stdin>',sat_non_taut_pair) ).

fof(c_0_2_003,axiom,
    ? [X2,X3] :
      ( ? [X1] : model(X1,X2)
      & ! [X4] :
          ( model(X4,X2)
         => model(X4,X3) )
      & ? [X5] :
          ( ~ model(X5,X2)
          & model(X5,X3) )
      & ? [X6] : ~ model(X6,X3) ),
    file('<stdin>',mixed_pair) ).

fof(c_0_3_004,axiom,
    ? [X7] :
    ! [X8] : ~ model(X8,X7),
    file('<stdin>',contradiction) ).

fof(c_0_4_005,axiom,
    ? [X7] :
      ( ? [X1] : model(X1,X7)
      & ? [X4] : ~ model(X4,X7) ),
    file('<stdin>',satisfiable) ).

fof(c_0_5_006,axiom,
    ? [X1,X2,X3] :
      ( model(X1,X2)
      & ~ model(X1,X3)
      & ? [X4] : model(X4,X3) ),
    file('<stdin>',non_thm_spt) ).

fof(c_0_6_007,axiom,
    ? [X7] :
    ! [X8] : model(X8,X7),
    file('<stdin>',tautology) ).

fof(c_0_7_008,plain,
    ! [X8,X7] :
      ~ ( model(X8,X7)
      <=> model(X8,not(X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_8_009,plain,
    ? [X2,X3] :
      ( ? [X1] :
          ( model(X1,X2)
          & model(X1,X3) )
      & ? [X4] :
          ( ~ model(X4,X2)
          | ~ model(X4,X3) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_9_010,plain,
    ? [X2,X3] :
      ( ? [X1] : model(X1,X2)
      & ! [X4] :
          ( model(X4,X2)
         => model(X4,X3) )
      & ? [X5] :
          ( ~ model(X5,X2)
          & model(X5,X3) )
      & ? [X6] : ~ model(X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_10_011,plain,
    ? [X7] :
    ! [X8] : ~ model(X8,X7),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_11_012,plain,
    ? [X7] :
      ( ? [X1] : model(X1,X7)
      & ? [X4] : ~ model(X4,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_12_013,plain,
    ? [X1,X2,X3] :
      ( model(X1,X2)
      & ~ model(X1,X3)
      & ? [X4] : model(X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_13_014,axiom,
    ? [X7] :
    ! [X8] : model(X8,X7),
    c_0_6 ).

fof(c_0_14_015,plain,
    ! [X9,X10,X11,X12] :
      ( ( ~ model(X9,X10)
        | ~ model(X9,not(X10)) )
      & ( model(X11,X12)
        | model(X11,not(X12)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).

fof(c_0_15_016,plain,
    ( model(esk12_0,esk10_0)
    & model(esk12_0,esk11_0)
    & ( ~ model(esk13_0,esk10_0)
      | ~ model(esk14_0,esk11_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_8])])]) ).

fof(c_0_16_017,plain,
    ! [X10] :
      ( model(esk6_0,esk5_0)
      & ( ~ model(X10,esk5_0)
        | model(X10,esk7_0) )
      & ~ model(esk8_0,esk5_0)
      & model(esk8_0,esk7_0)
      & ~ model(esk9_0,esk7_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

fof(c_0_17_018,plain,
    ! [X10] : ~ model(X10,esk15_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

fof(c_0_18_019,plain,
    ( model(esk17_0,esk16_0)
    & ~ model(esk18_0,esk16_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).

fof(c_0_19_020,plain,
    ( model(esk1_0,esk2_0)
    & ~ model(esk1_0,esk3_0)
    & model(esk4_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_12])])]) ).

fof(c_0_20_021,plain,
    ! [X10] : model(X10,esk19_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).

cnf(c_0_21_022,plain,
    ( ~ model(X1,not(X2))
    | ~ model(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22_023,plain,
    ( ~ model(esk14_0,esk11_0)
    | ~ model(esk13_0,esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23_024,plain,
    ( model(X1,not(X2))
    | model(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24_025,plain,
    ( model(X1,esk7_0)
    | ~ model(X1,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25_026,plain,
    ~ model(X1,esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26_027,plain,
    ~ model(esk18_0,esk16_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27_028,plain,
    ~ model(esk8_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28_029,plain,
    ~ model(esk9_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_29_030,plain,
    ~ model(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30_031,plain,
    model(X1,esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31_032,plain,
    model(esk17_0,esk16_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_32_033,plain,
    model(esk12_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_33_034,plain,
    model(esk12_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_34_035,plain,
    model(esk6_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_35_036,plain,
    model(esk8_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_36_037,plain,
    model(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_37_038,plain,
    model(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_38_039,plain,
    ( ~ model(X1,not(X2))
    | ~ model(X1,X2) ),
    c_0_21,
    [final] ).

cnf(c_0_39_040,plain,
    ( ~ model(esk14_0,esk11_0)
    | ~ model(esk13_0,esk10_0) ),
    c_0_22,
    [final] ).

cnf(c_0_40_041,plain,
    ( model(X1,not(X2))
    | model(X1,X2) ),
    c_0_23,
    [final] ).

cnf(c_0_41_042,plain,
    ( model(X1,esk7_0)
    | ~ model(X1,esk5_0) ),
    c_0_24,
    [final] ).

cnf(c_0_42_043,plain,
    ~ model(X1,esk15_0),
    c_0_25,
    [final] ).

cnf(c_0_43_044,plain,
    ~ model(esk18_0,esk16_0),
    c_0_26,
    [final] ).

cnf(c_0_44_045,plain,
    ~ model(esk8_0,esk5_0),
    c_0_27,
    [final] ).

cnf(c_0_45_046,plain,
    ~ model(esk9_0,esk7_0),
    c_0_28,
    [final] ).

cnf(c_0_46_047,plain,
    ~ model(esk1_0,esk3_0),
    c_0_29,
    [final] ).

cnf(c_0_47_048,plain,
    model(X1,esk19_0),
    c_0_30,
    [final] ).

cnf(c_0_48_049,plain,
    model(esk17_0,esk16_0),
    c_0_31,
    [final] ).

cnf(c_0_49_050,plain,
    model(esk12_0,esk10_0),
    c_0_32,
    [final] ).

cnf(c_0_50_051,plain,
    model(esk12_0,esk11_0),
    c_0_33,
    [final] ).

cnf(c_0_51_052,plain,
    model(esk6_0,esk5_0),
    c_0_34,
    [final] ).

cnf(c_0_52_053,plain,
    model(esk8_0,esk7_0),
    c_0_35,
    [final] ).

cnf(c_0_53_054,plain,
    model(esk1_0,esk2_0),
    c_0_36,
    [final] ).

cnf(c_0_54_055,plain,
    model(esk4_0,esk3_0),
    c_0_37,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_38_0,axiom,
    ( ~ model(X1,not(X2))
    | ~ model(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_1,axiom,
    ( ~ model(X1,X2)
    | ~ model(X1,not(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_39_0,axiom,
    ( ~ model(sk2_esk14_0,sk2_esk11_0)
    | ~ model(sk2_esk13_0,sk2_esk10_0) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_39_1,axiom,
    ( ~ model(sk2_esk13_0,sk2_esk10_0)
    | ~ model(sk2_esk14_0,sk2_esk11_0) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_40_0,axiom,
    ( model(X1,not(X2))
    | model(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_1,axiom,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_41_0,axiom,
    ( model(X1,sk2_esk7_0)
    | ~ model(X1,sk2_esk5_0) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_1,axiom,
    ( ~ model(X1,sk2_esk5_0)
    | model(X1,sk2_esk7_0) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_42_0,axiom,
    ~ model(X1,sk2_esk15_0),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_43_0,axiom,
    ~ model(sk2_esk18_0,sk2_esk16_0),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_44_0,axiom,
    ~ model(sk2_esk8_0,sk2_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_45_0,axiom,
    ~ model(sk2_esk9_0,sk2_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_46_0,axiom,
    ~ model(sk2_esk1_0,sk2_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_47_0,axiom,
    model(X1,sk2_esk19_0),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_48_0,axiom,
    model(sk2_esk17_0,sk2_esk16_0),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_49_0,axiom,
    model(sk2_esk12_0,sk2_esk10_0),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_50_0,axiom,
    model(sk2_esk12_0,sk2_esk11_0),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_51_0,axiom,
    model(sk2_esk6_0,sk2_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_52_0,axiom,
    model(sk2_esk8_0,sk2_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_53_0,axiom,
    model(sk2_esk1_0,sk2_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_54_0,axiom,
    model(sk2_esk4_0,sk2_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_056,conjecture,
    nota(esa,thm),
    file('<stdin>',nota_esa_thm) ).

fof(c_0_1_057,negated_conjecture,
    ~ nota(esa,thm),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_058,negated_conjecture,
    ~ nota(esa,thm),
    c_0_1 ).

cnf(c_0_3_059,negated_conjecture,
    ~ nota(esa,thm),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_060,negated_conjecture,
    ~ nota(esa,thm),
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_112,negated_conjecture,
    ~ nota(esa,thm),
    file('/export/starexec/sandbox/tmp/iprover_modulo_53fe49.p',c_0_4) ).

cnf(c_183,negated_conjecture,
    ~ nota(esa,thm),
    inference(copy,[status(esa)],[c_112]) ).

cnf(c_187,negated_conjecture,
    ~ nota(esa,thm),
    inference(copy,[status(esa)],[c_183]) ).

cnf(c_188,negated_conjecture,
    ~ nota(esa,thm),
    inference(copy,[status(esa)],[c_187]) ).

cnf(c_189,negated_conjecture,
    ~ nota(esa,thm),
    inference(copy,[status(esa)],[c_188]) ).

cnf(c_527,negated_conjecture,
    ~ nota(esa,thm),
    inference(copy,[status(esa)],[c_189]) ).

cnf(c_102,plain,
    ( ~ status(X0,X1,X2)
    | status(X0,X1,X3)
    | nota(X2,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_53fe49.p',c_0_250_0) ).

cnf(c_507,plain,
    ( ~ status(X0,X1,X2)
    | status(X0,X1,X3)
    | nota(X2,X3) ),
    inference(copy,[status(esa)],[c_102]) ).

cnf(c_531,plain,
    ( status(X0,X1,thm)
    | ~ status(X0,X1,esa) ),
    inference(resolution,[status(thm)],[c_527,c_507]) ).

cnf(c_532,plain,
    ( status(X0,X1,thm)
    | ~ status(X0,X1,esa) ),
    inference(rewriting,[status(thm)],[c_531]) ).

cnf(c_63,plain,
    ( ~ model(X0,X1)
    | ~ model(X2,X3)
    | status(X1,X3,esa) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_53fe49.p',c_0_289_0) ).

cnf(c_429,plain,
    ( ~ model(X0,X1)
    | ~ model(X2,X3)
    | status(X1,X3,esa) ),
    inference(copy,[status(esa)],[c_63]) ).

cnf(c_537,plain,
    ( ~ model(X0,X1)
    | ~ model(X2,X3)
    | status(X1,X3,thm) ),
    inference(resolution,[status(thm)],[c_532,c_429]) ).

cnf(c_538,plain,
    ( ~ model(X0,X1)
    | ~ model(X2,X3)
    | status(X1,X3,thm) ),
    inference(rewriting,[status(thm)],[c_537]) ).

cnf(c_14,plain,
    model(sk2_esk17_0,sk2_esk16_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_53fe49.p',c_0_48_0) ).

cnf(c_331,plain,
    model(sk2_esk17_0,sk2_esk16_0),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_553,plain,
    ( ~ model(X0,X1)
    | status(X1,sk2_esk16_0,thm) ),
    inference(resolution,[status(thm)],[c_538,c_331]) ).

cnf(c_554,plain,
    ( ~ model(X0,X1)
    | status(X1,sk2_esk16_0,thm) ),
    inference(rewriting,[status(thm)],[c_553]) ).

cnf(c_13,plain,
    model(X0,sk2_esk19_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_53fe49.p',c_0_47_0) ).

cnf(c_329,plain,
    model(X0,sk2_esk19_0),
    inference(copy,[status(esa)],[c_13]) ).

cnf(c_621,plain,
    status(sk2_esk19_0,sk2_esk16_0,thm),
    inference(resolution,[status(thm)],[c_554,c_329]) ).

cnf(c_622,plain,
    status(sk2_esk19_0,sk2_esk16_0,thm),
    inference(rewriting,[status(thm)],[c_621]) ).

cnf(c_36,plain,
    ( ~ model(X0,X1)
    | model(X0,X2)
    | ~ status(X1,X2,thm) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_53fe49.p',c_0_316_0) ).

cnf(c_375,plain,
    ( ~ model(X0,X1)
    | model(X0,X2)
    | ~ status(X1,X2,thm) ),
    inference(copy,[status(esa)],[c_36]) ).

cnf(c_2517,plain,
    ( model(X0,sk2_esk16_0)
    | ~ model(X0,sk2_esk19_0) ),
    inference(resolution,[status(thm)],[c_622,c_375]) ).

cnf(c_2518,plain,
    ( model(X0,sk2_esk16_0)
    | ~ model(X0,sk2_esk19_0) ),
    inference(rewriting,[status(thm)],[c_2517]) ).

cnf(c_387363,plain,
    model(X0,sk2_esk16_0),
    inference(forward_subsumption_resolution,[status(thm)],[c_2518,c_329]) ).

cnf(c_387364,plain,
    model(X0,sk2_esk16_0),
    inference(rewriting,[status(thm)],[c_387363]) ).

cnf(c_9,plain,
    ~ model(sk2_esk18_0,sk2_esk16_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_53fe49.p',c_0_43_0) ).

cnf(c_321,plain,
    ~ model(sk2_esk18_0,sk2_esk16_0),
    inference(copy,[status(esa)],[c_9]) ).

cnf(c_387366,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_387364,c_321]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS202+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 06:47:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % FOF problem with conjecture
% 0.20/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_415187.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_53fe49.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_e97949 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.45  % --bmc1_dump_file                      -
% 0.20/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.45  % --bmc1_ucm_extend_mode                1
% 0.20/0.45  % --bmc1_ucm_init_mode                  2
% 0.20/0.45  % --bmc1_ucm_cone_mode                  none
% 0.20/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.45  % --bmc1_ucm_relax_model                4
% 0.20/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.45  % --bmc1_ucm_layered_model              none
% 0.20/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.45  
% 0.20/0.45  % ------ AIG Options
% 0.20/0.45  
% 0.20/0.45  % --aig_mode                            false
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation Options
% 0.20/0.45  
% 0.20/0.45  % --instantiation_flag                  true
% 0.20/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45  % --inst_solver_per_active              750
% 0.20/0.45  % --inst_solver_calls_frac              0.5
% 0.20/0.45  % --inst_passive_queue_type             priority_queues
% 0.20/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45  % --inst_passive_queues_freq            [25;2]
% 0.20/0.45  % --inst_dismatching                    true
% 0.20/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.45  % --inst_prop_sim_given                 true
% 0.20/0.45  % --inst_prop_sim_new                   false
% 0.20/0.45  % --inst_orphan_elimination             true
% 0.20/0.45  % --inst_learning_loop_flag             true
% 0.20/0.45  % --inst_learning_start                 3000
% 0.20/0.45  % --inst_learning_factor                2
% 0.20/0.45  % --inst_start_prop_sim_after_learn     3
% 0.20/0.45  % --inst_sel_renew                      solver
% 0.20/0.45  % --inst_lit_activity_flag              true
% 0.20/0.45  % --inst_out_proof                      true
% 0.20/0.45  
% 0.20/0.45  % ------ Resolution Options
% 0.20/0.45  
% 0.20/0.45  % --resolution_flag                     true
% 0.20/0.45  % --res_lit_sel                         kbo_max
% 0.20/0.45  % --res_to_prop_solver                  none
% 0.20/0.45  % --res_prop_simpl_new                  false
% 0.20/0.45  % --res_prop_simpl_given                false
% 0.20/0.45  % --res_passive_queue_type              priority_queues
% 0.20/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45  % --res_passive_queues_freq             [15;5]
% 0.20/0.45  % --res_forward_subs                    full
% 0.20/0.45  % --res_backward_subs                   full
% 0.20/0.45  % --res_forward_subs_resolution         true
% 0.20/0.45  % --res_backward_subs_resolution        true
% 0.20/0.45  % --res_orphan_elimination              false
% 0.20/0.45  % --res_time_limit                      1000.
% 0.20/0.45  % --res_out_proof                       true
% 0.20/0.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_415187.s
% 0.20/0.45  % --modulo                              true
% 0.20/0.45  
% 0.20/0.45  % ------ Combination Options
% 0.20/0.45  
% 0.20/0.45  % --comb_res_mult                       1000
% 0.20/0.45  % --comb_inst_mult                      300
% 0.20/0.45  % ------ 
% 0.20/0.45  
% 0.20/0.45  % ------ Parsing...% successful
% 0.20/0.45  
% 0.20/0.45  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.45  
% 0.20/0.45  % ------ Proving...
% 0.20/0.45  % ------ Problem Properties 
% 0.20/0.45  
% 0.20/0.45  % 
% 0.20/0.45  % EPR                                   false
% 0.20/0.45  % Horn                                  false
% 0.20/0.45  % Has equality                          false
% 0.20/0.45  
% 0.20/0.45  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % % ------ Current options:
% 0.20/0.45  
% 0.20/0.45  % ------ Input Options
% 0.20/0.45  
% 0.20/0.45  % --out_options                         all
% 0.20/0.45  % --tptp_safe_out                       true
% 0.20/0.45  % --problem_path                        ""
% 0.20/0.45  % --include_path                        ""
% 0.20/0.45  % --clausifier                          .//eprover
% 0.20/0.45  % --clausifier_options                  --tstp-format  
% 0.20/0.45  % --stdin                               false
% 0.20/0.45  % --dbg_backtrace                       false
% 0.20/0.45  % --dbg_dump_prop_clauses               false
% 0.20/0.45  % --dbg_dump_prop_clauses_file          -
% 0.20/0.45  % --dbg_out_stat                        false
% 0.20/0.45  
% 0.20/0.45  % ------ General Options
% 0.20/0.45  
% 0.20/0.45  % --fof                                 false
% 0.20/0.45  % --time_out_real                       150.
% 0.20/0.45  % --time_out_prep_mult                  0.2
% 0.20/0.45  % --time_out_virtual                    -1.
% 0.20/0.45  % --schedule                            none
% 0.20/0.45  % --ground_splitting                    input
% 0.20/0.45  % --splitting_nvd                       16
% 0.20/0.45  % --non_eq_to_eq                        false
% 0.20/0.45  % --prep_gs_sim                         true
% 0.20/0.45  % --prep_unflatten                      false
% 0.20/0.45  % --prep_res_sim                        true
% 0.20/0.45  % --prep_upred                          true
% 0.20/0.45  % --res_sim_input                       true
% 0.20/0.45  % --clause_weak_htbl                    true
% 0.20/0.45  % --gc_record_bc_elim                   false
% 0.20/0.45  % --symbol_type_check                   false
% 0.20/0.45  % --clausify_out                        false
% 0.20/0.45  % --large_theory_mode                   false
% 0.20/0.45  % --prep_sem_filter                     none
% 0.20/0.45  % --prep_sem_filter_out                 false
% 0.20/0.45  % --preprocessed_out                    false
% 0.20/0.45  % --sub_typing                          false
% 0.20/0.45  % --brand_transform                     false
% 0.20/0.45  % --pure_diseq_elim                     true
% 0.20/0.45  % --min_unsat_core                      false
% 0.20/0.45  % --pred_elim                           true
% 0.20/0.45  % --add_important_lit                   false
% 0.20/0.45  % --soft_assumptions                    false
% 0.20/0.45  % --reset_solvers                       false
% 0.20/0.45  % --bc_imp_inh                          []
% 0.20/0.45  % --conj_cone_tolerance                 1.5
% 0.20/0.45  % --prolific_symb_bound                 500
% 0.20/0.45  % --lt_threshold                        2000
% 0.20/0.45  
% 0.20/0.45  % ------ SAT Options
% 0.20/0.45  
% 0.20/0.45  % --sat_mode                            false
% 0.20/0.45  % --sat_fm_restart_options              ""
% 0.20/0.45  % --sat_gr_def                          false
% 0.20/0.45  % --sat_epr_types                       true
% 0.20/0.45  % --sat_non_cyclic_types                false
% 0.20/0.45  % --sat_finite_models                   false
% 0.20/0.45  % --sat_fm_lemmas                       false
% 0.20/0.45  % --sat_fm_prep                         false
% 0.20/0.45  % --sat_fm_uc_incr                      true
% 0.20/0.45  % --sat_out_model                       small
% 0.20/0.45  % --sat_out_clauses                     false
% 0.20/0.45  
% 0.20/0.45  % ------ QBF Options
% 0.20/0.45  
% 0.20/0.45  % --qbf_mode                            false
% 0.20/0.45  % --qbf_elim_univ                       true
% 0.20/0.45  % --qbf_sk_in                           true
% 0.20/0.45  % --qbf_pred_elim                       true
% 0.20/0.45  % --qbf_split                           32
% 0.20/0.45  
% 0.20/0.45  % ------ BMC1 Options
% 0.20/0.45  
% 0.20/0.45  % --bmc1_incremental                    false
% 0.20/0.45  % --bmc1_axioms                         reachable_all
% 0.20/0.45  % --bmc1_min_bound                      0
% 0.20/0.45  % --bmc1_max_bound                      -1
% 0.20/0.45  % --bmc1_max_bound_default              -1
% 0.20/0.45  % --bmc1_symbol_reachability            true
% 0.20/0.45  % --bmc1_property_lemmas                false
% 0.20/0.45  % --bmc1_k_induction                    false
% 0.20/0.45  % --bmc1_non_equiv_states               false
% 0.20/0.45  % --bmc1_deadlock                       false
% 0.20/0.45  % --bmc1_ucm                            false
% 0.20/0.45  % --bmc1_add_unsat_core                 none
% 0.20/0.45  % --bmc1_unsat_core_children            false
% 0.20/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.45  % --bmc1_out_stat                       full
% 0.20/0.45  % --bmc1_ground_init                    false
% 0.20/0.45  % --bmc1_pre_inst_next_state            false
% 0.20/0.45  % --bmc1_pre_inst_state                 false
% 0.20/0.45  % --bmc1_pre_inst_reach_state           false
% 0.20/0.45  % --bmc1_out_unsat_core                 false
% 0.20/0.45  % --bmc1_aig_witness_out                false
% 0.20/0.45  % --bmc1_verbose                        false
% 0.20/0.45  % --bmc1_dump_clauses_tptp              false
% 0.20/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.45  % --bmc1_dump_file                      -
% 0.20/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.45  % --bmc1_ucm_extend_mode                1
% 0.20/0.45  % --bmc1_ucm_init_mode                  2
% 0.20/0.45  % --bmc1_ucm_cone_mode                  none
% 0.20/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.45  % --bmc1_ucm_relax_model                4
% 0.20/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.45  % --bmc1_ucm_layered_model              none
% 0.20/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.45  
% 0.20/0.45  % ------ AIG Options
% 0.20/0.45  
% 0.20/0.45  % --aig_mode                            false
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation Options
% 0.20/0.45  
% 0.20/0.45  % --instantiation_flag                  true
% 0.20/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45  % --inst_solver_per_active              750
% 0.20/0.45  % --inst_solver_calls_frac              0.5
% 0.20/0.45  % --inst_passive_queue_type             priority_queues
% 0.20/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45  % --inst_passive_queues_freq            [25;2]
% 0.20/0.45  % --inst_dismatching                    true
% 0.20/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.45  % --inst_prop_sim_given                 true
% 10.07/10.23  % --inst_prop_sim_new                   false
% 10.07/10.23  % --inst_orphan_elimination             true
% 10.07/10.23  % --inst_learning_loop_flag             true
% 10.07/10.23  % --inst_learning_start                 3000
% 10.07/10.23  % --inst_learning_factor                2
% 10.07/10.23  % --inst_start_prop_sim_after_learn     3
% 10.07/10.23  % --inst_sel_renew                      solver
% 10.07/10.23  % --inst_lit_activity_flag              true
% 10.07/10.23  % --inst_out_proof                      true
% 10.07/10.23  
% 10.07/10.23  % ------ Resolution Options
% 10.07/10.23  
% 10.07/10.23  % --resolution_flag                     true
% 10.07/10.23  % --res_lit_sel                         kbo_max
% 10.07/10.23  % --res_to_prop_solver                  none
% 10.07/10.23  % --res_prop_simpl_new                  false
% 10.07/10.23  % --res_prop_simpl_given                false
% 10.07/10.23  % --res_passive_queue_type              priority_queues
% 10.07/10.23  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 10.07/10.23  % --res_passive_queues_freq             [15;5]
% 10.07/10.23  % --res_forward_subs                    full
% 10.07/10.23  % --res_backward_subs                   full
% 10.07/10.23  % --res_forward_subs_resolution         true
% 10.07/10.23  % --res_backward_subs_resolution        true
% 10.07/10.23  % --res_orphan_elimination              false
% 10.07/10.23  % --res_time_limit                      1000.
% 10.07/10.23  % --res_out_proof                       true
% 10.07/10.23  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_415187.s
% 10.07/10.23  % --modulo                              true
% 10.07/10.23  
% 10.07/10.23  % ------ Combination Options
% 10.07/10.23  
% 10.07/10.23  % --comb_res_mult                       1000
% 10.07/10.23  % --comb_inst_mult                      300
% 10.07/10.23  % ------ 
% 10.07/10.23  
% 10.07/10.23  
% 10.07/10.23  
% 10.07/10.23  % ------ Proving...
% 10.07/10.23  % 
% 10.07/10.23  
% 10.07/10.23  
% 10.07/10.23  %  Resolution empty clause
% 10.07/10.23  
% 10.07/10.23  % ------                             Statistics
% 10.07/10.23  
% 10.07/10.23  % ------ General
% 10.07/10.23  
% 10.07/10.23  % num_of_input_clauses:                 113
% 10.07/10.23  % num_of_input_neg_conjectures:         1
% 10.07/10.23  % num_of_splits:                        0
% 10.07/10.23  % num_of_split_atoms:                   0
% 10.07/10.23  % num_of_sem_filtered_clauses:          0
% 10.07/10.23  % num_of_subtypes:                      0
% 10.07/10.23  % monotx_restored_types:                0
% 10.07/10.23  % sat_num_of_epr_types:                 0
% 10.07/10.23  % sat_num_of_non_cyclic_types:          0
% 10.07/10.23  % sat_guarded_non_collapsed_types:      0
% 10.07/10.23  % is_epr:                               0
% 10.07/10.23  % is_horn:                              0
% 10.07/10.23  % has_eq:                               0
% 10.07/10.23  % num_pure_diseq_elim:                  0
% 10.07/10.23  % simp_replaced_by:                     0
% 10.07/10.23  % res_preprocessed:                     2
% 10.07/10.23  % prep_upred:                           0
% 10.07/10.23  % prep_unflattend:                      0
% 10.07/10.23  % pred_elim_cands:                      0
% 10.07/10.23  % pred_elim:                            0
% 10.07/10.23  % pred_elim_cl:                         0
% 10.07/10.23  % pred_elim_cycles:                     0
% 10.07/10.23  % forced_gc_time:                       0
% 10.07/10.23  % gc_basic_clause_elim:                 0
% 10.07/10.23  % parsing_time:                         0.004
% 10.07/10.23  % sem_filter_time:                      0.
% 10.07/10.23  % pred_elim_time:                       0.
% 10.07/10.23  % out_proof_time:                       0.
% 10.07/10.23  % monotx_time:                          0.
% 10.07/10.23  % subtype_inf_time:                     0.
% 10.07/10.23  % unif_index_cands_time:                0.006
% 10.07/10.23  % unif_index_add_time:                  0.004
% 10.07/10.23  % total_time:                           9.813
% 10.07/10.23  % num_of_symbols:                       123
% 10.07/10.23  % num_of_terms:                         1997
% 10.07/10.23  
% 10.07/10.23  % ------ Propositional Solver
% 10.07/10.23  
% 10.07/10.23  % prop_solver_calls:                    1
% 10.07/10.23  % prop_fast_solver_calls:               3
% 10.07/10.23  % prop_num_of_clauses:                  177
% 10.07/10.23  % prop_preprocess_simplified:           255
% 10.07/10.23  % prop_fo_subsumed:                     0
% 10.07/10.23  % prop_solver_time:                     0.
% 10.07/10.23  % prop_fast_solver_time:                0.
% 10.07/10.23  % prop_unsat_core_time:                 0.
% 10.07/10.23  
% 10.07/10.23  % ------ QBF 
% 10.07/10.23  
% 10.07/10.23  % qbf_q_res:                            0
% 10.07/10.23  % qbf_num_tautologies:                  0
% 10.07/10.23  % qbf_prep_cycles:                      0
% 10.07/10.23  
% 10.07/10.23  % ------ BMC1
% 10.07/10.23  
% 10.07/10.23  % bmc1_current_bound:                   -1
% 10.07/10.23  % bmc1_last_solved_bound:               -1
% 10.07/10.23  % bmc1_unsat_core_size:                 -1
% 10.07/10.23  % bmc1_unsat_core_parents_size:         -1
% 10.07/10.23  % bmc1_merge_next_fun:                  0
% 10.07/10.23  % bmc1_unsat_core_clauses_time:         0.
% 10.07/10.23  
% 10.07/10.23  % ------ Instantiation
% 10.07/10.23  
% 10.07/10.23  % inst_num_of_clauses:                  111
% 10.07/10.23  % inst_num_in_passive:                  0
% 10.07/10.23  % inst_num_in_active:                   0
% 10.07/10.23  % inst_num_in_unprocessed:              113
% 10.07/10.23  % inst_num_of_loops:                    0
% 10.07/10.23  % inst_num_of_learning_restarts:        0
% 10.07/10.23  % inst_num_moves_active_passive:        0
% 10.07/10.23  % inst_lit_activity:                    0
% 10.07/10.23  % inst_lit_activity_moves:              0
% 10.07/10.23  % inst_num_tautologies:                 0
% 10.07/10.23  % inst_num_prop_implied:                0
% 10.07/10.23  % inst_num_existing_simplified:         0
% 10.07/10.23  % inst_num_eq_res_simplified:           0
% 10.07/10.23  % inst_num_child_elim:                  0
% 10.07/10.23  % inst_num_of_dismatching_blockings:    0
% 10.07/10.23  % inst_num_of_non_proper_insts:         0
% 10.07/10.23  % inst_num_of_duplicates:               0
% 10.07/10.23  % inst_inst_num_from_inst_to_res:       0
% 10.07/10.23  % inst_dismatching_checking_time:       0.
% 10.07/10.23  
% 10.07/10.23  % ------ Resolution
% 10.07/10.23  
% 10.07/10.23  % res_num_of_clauses:                   184280
% 10.07/10.23  % res_num_in_passive:                   183250
% 10.07/10.23  % res_num_in_active:                    1011
% 10.07/10.23  % res_num_of_loops:                     919
% 10.07/10.23  % res_forward_subset_subsumed:          4567
% 10.07/10.23  % res_backward_subset_subsumed:         4
% 10.07/10.23  % res_forward_subsumed:                 12
% 10.07/10.23  % res_backward_subsumed:                1
% 10.07/10.23  % res_forward_subsumption_resolution:   1
% 10.07/10.23  % res_backward_subsumption_resolution:  1
% 10.07/10.23  % res_clause_to_clause_subsumption:     17260
% 10.07/10.23  % res_orphan_elimination:               0
% 10.07/10.23  % res_tautology_del:                    9
% 10.07/10.23  % res_num_eq_res_simplified:            0
% 10.07/10.23  % res_num_sel_changes:                  0
% 10.07/10.23  % res_moves_from_active_to_pass:        0
% 10.07/10.23  
% 10.07/10.23  % Status Unsatisfiable
% 10.07/10.23  % SZS status Theorem
% 10.07/10.23  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------