%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW097+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 : Thu Jul 21 00:01:30 EDT 2022

% Result   : Theorem 25.72s 4.63s
% Output   : CNFRefutation 25.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   80
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  393 (  79 unt;   0 def)
%            Number of atoms       :  986 ( 551 equ)
%            Maximal formula atoms :   75 (   2 avg)
%            Number of connectives :  878 ( 285   ~; 544   |;  40   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  244 (  43 sgn  54   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(def_false2,axiom,
    ? [X5] :
      ( false2 = phi(f7(X5))
      & ~ ? [X10] : forallprefers(f7(X10),f7(X5)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',def_false2) ).

fof(lazy_impl_axiom3,axiom,
    ! [X4] : lazy_impl(true,X4) = phi(X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom3) ).

fof(def_f7,axiom,
    ! [X5] : f7(X5) = lazy_impl(prop(X5),X5),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',def_f7) ).

fof(def_phi,axiom,
    ! [X1] :
      ( ( d(X1)
        & phi(X1) = X1 )
      | ( ~ d(X1)
        & phi(X1) = err ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',def_phi) ).

fof(prop_false,axiom,
    ! [X1] :
      ( prop(X1) = false
    <=> ~ bool(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',prop_false) ).

fof(lazy_impl_axiom2,axiom,
    ! [X4] : lazy_impl(false,X4) = true,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom2) ).

fof(def_bool,axiom,
    ! [X1] :
      ( bool(X1)
    <=> ( X1 = false
        | X1 = true ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',def_bool) ).

fof(false_true_err_in_d,axiom,
    ( d(true)
    & d(false)
    & d(err) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',false_true_err_in_d) ).

fof(prop_true,axiom,
    ! [X1] :
      ( prop(X1) = true
    <=> bool(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',prop_true) ).

fof(def_forallprefers,axiom,
    ! [X1,X2] :
      ( forallprefers(X1,X2)
    <=> ( ( ~ d(X1)
          & d(X2) )
        | ( d(X1)
          & d(X2)
          & ~ bool(X1)
          & bool(X2) )
        | ( X1 = false
          & X2 = true ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',def_forallprefers) ).

fof(lazy_impl_axiom1,axiom,
    ! [X3,X4] :
      ( ~ bool(X3)
     => lazy_impl(X3,X4) = phi(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom1) ).

fof(distinct_false_true_err,axiom,
    ( true != false
    & true != err
    & false != err ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',distinct_false_true_err) ).

fof(lazy_and1_lazy_and2,conjecture,
    ! [X5,X6] : lazy_and1(X5,X6) = lazy_and2(X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_and1_lazy_and2) ).

fof(def_lazy_and2,axiom,
    ! [X5,X6] :
    ? [X7] :
      ( lazy_and2(X5,X6) = phi(f2(X5,X6,X7))
      & ~ ? [X8] : forallprefers(f2(X5,X6,X8),f2(X5,X6,X7)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',def_lazy_and2) ).

fof(def_f2,axiom,
    ! [X5,X6,X7] : f2(X5,X6,X7) = lazy_impl(prop(X7),impl(lazy_impl(X5,impl(X6,X7)),X7)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',def_f2) ).

fof(impl_axiom1,axiom,
    ! [X3,X4] :
      ( ~ bool(X3)
     => impl(X3,X4) = phi(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',impl_axiom1) ).

fof(lazy_and1_axiom1,axiom,
    ! [X3,X4] :
      ( ~ bool(X3)
     => lazy_and1(X3,X4) = phi(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',lazy_and1_axiom1) ).

fof(impl_axiom4,axiom,
    ! [X4] :
      ( bool(X4)
     => impl(true,X4) = X4 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',impl_axiom4) ).

fof(lazy_and1_axiom3,axiom,
    ! [X4] : lazy_and1(true,X4) = phi(X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',lazy_and1_axiom3) ).

fof(impl_axiom3,axiom,
    ! [X4] :
      ( bool(X4)
     => impl(false,X4) = true ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',impl_axiom3) ).

fof(lazy_and1_axiom2,axiom,
    ! [X4] : lazy_and1(false,X4) = false,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV012+0.ax',lazy_and1_axiom2) ).

fof(c_0_21,plain,
    ! [X83] :
      ( false2 = phi(f7(esk7_0))
      & ~ forallprefers(f7(X83),f7(esk7_0)) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[def_false2])])])]) ).

fof(c_0_22,plain,
    ! [X28] : lazy_impl(true,X28) = phi(X28),
    inference(variable_rename,[status(thm)],[lazy_impl_axiom3]) ).

fof(c_0_23,plain,
    ! [X81] : f7(X81) = lazy_impl(prop(X81),X81),
    inference(variable_rename,[status(thm)],[def_f7]) ).

fof(c_0_24,plain,
    ! [X16] :
      ( ( ~ d(X16)
        | d(X16) )
      & ( phi(X16) = err
        | d(X16) )
      & ( ~ d(X16)
        | phi(X16) = X16 )
      & ( phi(X16) = err
        | phi(X16) = X16 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[def_phi])])]) ).

cnf(c_0_25,plain,
    false2 = phi(f7(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    lazy_impl(true,X1) = phi(X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,plain,
    f7(X1) = lazy_impl(prop(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_28,plain,
    ! [X18] :
      ( ( prop(X18) != false
        | ~ bool(X18) )
      & ( bool(X18)
        | prop(X18) = false ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[prop_false])])]) ).

fof(c_0_29,plain,
    ! [X27] : lazy_impl(false,X27) = true,
    inference(variable_rename,[status(thm)],[lazy_impl_axiom2]) ).

cnf(c_0_30,plain,
    ( phi(X1) = X1
    | ~ d(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    false2 = lazy_impl(true,lazy_impl(prop(esk7_0),esk7_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_32,plain,
    ( bool(X1)
    | prop(X1) = false ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    lazy_impl(false,X1) = true,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_34,plain,
    ! [X11] :
      ( ( ~ bool(X11)
        | X11 = false
        | X11 = true )
      & ( X11 != false
        | bool(X11) )
      & ( X11 != true
        | bool(X11) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[def_bool])])]) ).

cnf(c_0_35,plain,
    ( lazy_impl(true,X1) = X1
    | ~ d(X1) ),
    inference(rw,[status(thm)],[c_0_30,c_0_26]) ).

cnf(c_0_36,plain,
    ( lazy_impl(true,true) = false2
    | bool(esk7_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_37,plain,
    d(true),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_38,plain,
    ( X1 = false
    | X1 = true
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_39,plain,
    ( true = false2
    | bool(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_40,plain,
    ( true = false2
    | esk7_0 = true
    | esk7_0 = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_41,plain,
    ! [X17] :
      ( ( prop(X17) != true
        | bool(X17) )
      & ( ~ bool(X17)
        | prop(X17) = true ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[prop_true])]) ).

cnf(c_0_42,plain,
    ( bool(X1)
    | X1 != true ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,plain,
    ( lazy_impl(true,lazy_impl(prop(true),true)) = false2
    | esk7_0 = false
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_31,c_0_40]) ).

cnf(c_0_44,plain,
    ( prop(X1) = true
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_45,plain,
    bool(true),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_46,plain,
    ( lazy_impl(true,lazy_impl(true,true)) = false2
    | true = false2
    | esk7_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_47,plain,
    ( lazy_impl(true,true) = false2
    | esk7_0 = false
    | true = false2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_35]),c_0_37])]) ).

cnf(c_0_48,plain,
    ( bool(X1)
    | X1 != false ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_49,plain,
    ( lazy_impl(true,lazy_impl(true,esk7_0)) = false2
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_44]) ).

cnf(c_0_50,plain,
    ( esk7_0 = false
    | true = false2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_47]),c_0_37])]) ).

cnf(c_0_51,plain,
    bool(false),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_52,plain,
    ( phi(X1) = err
    | phi(X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_53,plain,
    ( lazy_impl(true,lazy_impl(true,false)) = false2
    | true = false2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_54,plain,
    d(false),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_55,plain,
    ~ forallprefers(f7(X1),f7(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_56,plain,
    ( lazy_impl(true,X1) = X1
    | lazy_impl(true,X1) = err ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_26]),c_0_26]) ).

cnf(c_0_57,plain,
    ( lazy_impl(true,false) = false2
    | true = false2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_35]),c_0_54])]) ).

cnf(c_0_58,plain,
    ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(esk7_0),esk7_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_27]),c_0_27]) ).

cnf(c_0_59,plain,
    ( lazy_impl(prop(esk7_0),esk7_0) = false2
    | false2 = err ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_56]),c_0_31]) ).

cnf(c_0_60,plain,
    ( lazy_impl(true,X1) = X1
    | err != X1 ),
    inference(ef,[status(thm)],[c_0_56]) ).

cnf(c_0_61,plain,
    ( true = false2
    | false2 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_57]),c_0_54])]) ).

cnf(c_0_62,plain,
    ( ~ forallprefers(lazy_impl(true,X1),lazy_impl(prop(esk7_0),esk7_0))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_44]) ).

cnf(c_0_63,plain,
    lazy_impl(true,false2) = false2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_59]),c_0_60]) ).

cnf(c_0_64,plain,
    bool(false2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_61]),c_0_48]) ).

cnf(c_0_65,plain,
    ~ forallprefers(false2,lazy_impl(prop(esk7_0),esk7_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).

fof(c_0_66,plain,
    ! [X12,X13] :
      ( ( X12 = false
        | d(X12)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | d(X12)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X12 = false
        | d(X13)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | d(X13)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X12 = false
        | ~ bool(X12)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | ~ bool(X12)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X12 = false
        | bool(X13)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | bool(X13)
        | ~ d(X12)
        | ~ forallprefers(X12,X13) )
      & ( X12 = false
        | d(X12)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | d(X12)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( X12 = false
        | d(X13)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | d(X13)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( X12 = false
        | ~ bool(X12)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | ~ bool(X12)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( X12 = false
        | bool(X13)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( X13 = true
        | bool(X13)
        | d(X13)
        | ~ forallprefers(X12,X13) )
      & ( d(X12)
        | ~ d(X13)
        | forallprefers(X12,X13) )
      & ( ~ d(X12)
        | ~ d(X13)
        | bool(X12)
        | ~ bool(X13)
        | forallprefers(X12,X13) )
      & ( X12 != false
        | X13 != true
        | forallprefers(X12,X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[def_forallprefers])])])]) ).

cnf(c_0_67,plain,
    ( bool(esk7_0)
    | ~ forallprefers(false2,true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_32]),c_0_33]) ).

cnf(c_0_68,plain,
    ( d(X1)
    | forallprefers(X1,X2)
    | ~ d(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

fof(c_0_69,plain,
    ! [X25,X26] :
      ( bool(X25)
      | lazy_impl(X25,X26) = phi(X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[lazy_impl_axiom1])])]) ).

cnf(c_0_70,plain,
    ( ~ forallprefers(false2,lazy_impl(true,esk7_0))
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_44]) ).

cnf(c_0_71,plain,
    ( d(false2)
    | bool(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_37])]) ).

cnf(c_0_72,plain,
    ( bool(X1)
    | lazy_impl(X1,X2) = phi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_73,plain,
    ( d(false2)
    | ~ forallprefers(false2,lazy_impl(true,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_74,plain,
    ( lazy_impl(X1,X2) = lazy_impl(true,X1)
    | bool(X1) ),
    inference(rw,[status(thm)],[c_0_72,c_0_26]) ).

cnf(c_0_75,plain,
    ( phi(X1) = err
    | d(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_76,plain,
    ( d(false2)
    | ~ d(lazy_impl(true,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_68]) ).

cnf(c_0_77,plain,
    ~ forallprefers(lazy_impl(true,prop(X1)),lazy_impl(prop(esk7_0),esk7_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_74]),c_0_62]) ).

cnf(c_0_78,plain,
    ( bool(X1)
    | forallprefers(X1,X2)
    | ~ d(X1)
    | ~ d(X2)
    | ~ bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_79,plain,
    ( lazy_impl(true,X1) = err
    | d(X1) ),
    inference(rw,[status(thm)],[c_0_75,c_0_26]) ).

cnf(c_0_80,plain,
    d(err),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_81,plain,
    ( d(false2)
    | ~ d(esk7_0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_35]) ).

cnf(c_0_82,plain,
    ( false2 = err
    | ~ forallprefers(lazy_impl(true,prop(X1)),false2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_59]) ).

cnf(c_0_83,plain,
    ( forallprefers(X1,X2)
    | bool(X1)
    | ~ d(X2)
    | ~ bool(X2) ),
    inference(csr,[status(thm)],[c_0_78,c_0_68]) ).

cnf(c_0_84,plain,
    d(false2),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_79]),c_0_80])]),c_0_81]) ).

cnf(c_0_85,plain,
    ( false2 = err
    | bool(lazy_impl(true,prop(X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_64])]),c_0_84])]) ).

cnf(c_0_86,plain,
    ( forallprefers(X1,X2)
    | X1 != false
    | X2 != true ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_87,plain,
    ( ~ forallprefers(lazy_impl(true,prop(X1)),lazy_impl(true,esk7_0))
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_44]) ).

cnf(c_0_88,plain,
    ( lazy_impl(true,prop(X1)) = true
    | lazy_impl(true,prop(X1)) = false
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_38,c_0_85]) ).

cnf(c_0_89,plain,
    true != err,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

cnf(c_0_90,plain,
    ( forallprefers(X1,true)
    | X1 != false ),
    inference(er,[status(thm)],[c_0_86]) ).

cnf(c_0_91,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(true,esk7_0))
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_44]) ).

cnf(c_0_92,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(true,prop(X1)),lazy_impl(true,false)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_50]),c_0_51])]) ).

cnf(c_0_93,plain,
    ( lazy_impl(true,prop(X1)) = false
    | prop(X1) = true
    | false2 = err ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_88]),c_0_89]) ).

cnf(c_0_94,plain,
    forallprefers(false,true),
    inference(er,[status(thm)],[c_0_90]) ).

cnf(c_0_95,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(true,false)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_50]),c_0_51])]) ).

fof(c_0_96,negated_conjecture,
    ~ ! [X5,X6] : lazy_and1(X5,X6) = lazy_and2(X5,X6),
    inference(assume_negation,[status(cth)],[lazy_and1_lazy_and2]) ).

fof(c_0_97,plain,
    ! [X49,X50,X52] :
      ( lazy_and2(X49,X50) = phi(f2(X49,X50,esk2_2(X49,X50)))
      & ~ forallprefers(f2(X49,X50,X52),f2(X49,X50,esk2_2(X49,X50))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[def_lazy_and2])])])]) ).

cnf(c_0_98,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(true,prop(X1)),false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_35]),c_0_54])]) ).

cnf(c_0_99,plain,
    ( prop(X1) = true
    | false2 = err
    | ~ forallprefers(false,false2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_93]) ).

cnf(c_0_100,plain,
    ( false2 = false
    | forallprefers(false,false2) ),
    inference(spm,[status(thm)],[c_0_94,c_0_61]) ).

cnf(c_0_101,plain,
    ( false2 = false
    | false2 != err ),
    inference(spm,[status(thm)],[c_0_89,c_0_61]) ).

cnf(c_0_102,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(prop(X1),X1),false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_35]),c_0_54])]) ).

fof(c_0_103,negated_conjecture,
    lazy_and1(esk8_0,esk9_0) != lazy_and2(esk8_0,esk9_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])]) ).

cnf(c_0_104,plain,
    lazy_and2(X1,X2) = phi(f2(X1,X2,esk2_2(X1,X2))),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

fof(c_0_105,plain,
    ! [X46,X47,X48] : f2(X46,X47,X48) = lazy_impl(prop(X48),impl(lazy_impl(X46,impl(X47,X48)),X48)),
    inference(variable_rename,[status(thm)],[def_f2]) ).

fof(c_0_106,plain,
    ! [X19,X20] :
      ( bool(X19)
      | impl(X19,X20) = phi(X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[impl_axiom1])])]) ).

cnf(c_0_107,plain,
    ( true = false2
    | bool(lazy_impl(true,prop(X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_83]),c_0_54]),c_0_51])]) ).

cnf(c_0_108,plain,
    ( bool(X1)
    | prop(X1) != true ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_109,plain,
    ( prop(X1) = true
    | false2 = false ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).

cnf(c_0_110,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(true,X1),false)
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_44]) ).

cnf(c_0_111,plain,
    ( false2 = err
    | d(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_79]) ).

cnf(c_0_112,negated_conjecture,
    lazy_and1(esk8_0,esk9_0) != lazy_and2(esk8_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_113,plain,
    lazy_and2(X1,X2) = lazy_impl(true,f2(X1,X2,esk2_2(X1,X2))),
    inference(rw,[status(thm)],[c_0_104,c_0_26]) ).

cnf(c_0_114,plain,
    f2(X1,X2,X3) = lazy_impl(prop(X3),impl(lazy_impl(X1,impl(X2,X3)),X3)),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_115,plain,
    ( bool(X1)
    | impl(X1,X2) = phi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_116,plain,
    ( lazy_impl(true,prop(X1)) = true
    | lazy_impl(true,prop(X1)) = false
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_38,c_0_107]) ).

cnf(c_0_117,plain,
    ( false2 = false
    | bool(X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_118,plain,
    ( true = false2
    | bool(lazy_impl(true,X1))
    | ~ bool(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_83]),c_0_54]),c_0_51])]) ).

cnf(c_0_119,plain,
    ( bool(lazy_impl(prop(X1),X1))
    | ~ d(lazy_impl(prop(esk7_0),esk7_0))
    | ~ bool(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_83]) ).

cnf(c_0_120,plain,
    ( false2 = err
    | d(false2) ),
    inference(spm,[status(thm)],[c_0_111,c_0_59]) ).

cnf(c_0_121,negated_conjecture,
    lazy_impl(true,lazy_impl(prop(esk2_2(esk8_0,esk9_0)),impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0)))) != lazy_and1(esk8_0,esk9_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

cnf(c_0_122,plain,
    ( impl(X1,X2) = lazy_impl(true,X1)
    | bool(X1) ),
    inference(rw,[status(thm)],[c_0_115,c_0_26]) ).

cnf(c_0_123,plain,
    ( lazy_impl(true,prop(X1)) = false
    | prop(X1) = true
    | true = false2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_116]),c_0_89]) ).

cnf(c_0_124,plain,
    false != err,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

cnf(c_0_125,plain,
    lazy_impl(true,err) = err,
    inference(er,[status(thm)],[c_0_60]) ).

cnf(c_0_126,plain,
    ( false2 = false
    | X1 = true
    | X1 = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_117]) ).

cnf(c_0_127,plain,
    ( lazy_impl(true,X1) = true
    | lazy_impl(true,X1) = false
    | true = false2
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_118]) ).

cnf(c_0_128,plain,
    ( false2 = err
    | bool(lazy_impl(prop(X1),X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_59]),c_0_64])]),c_0_120]) ).

cnf(c_0_129,plain,
    ( lazy_impl(X1,X2) = X1
    | bool(X1)
    | ~ d(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_74]) ).

cnf(c_0_130,negated_conjecture,
    ( bool(esk8_0)
    | lazy_impl(true,lazy_impl(prop(esk2_2(esk8_0,esk9_0)),impl(lazy_impl(true,esk8_0),esk2_2(esk8_0,esk9_0)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_74]) ).

cnf(c_0_131,negated_conjecture,
    ( bool(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))))
    | lazy_impl(true,lazy_impl(prop(esk2_2(esk8_0,esk9_0)),lazy_impl(true,lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0)))))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_132,plain,
    ( prop(X1) = true
    | prop(X1) = false
    | true = false2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_123]),c_0_124]) ).

cnf(c_0_133,plain,
    false2 = false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_125]),c_0_89]),c_0_124]) ).

cnf(c_0_134,plain,
    true != false,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

cnf(c_0_135,plain,
    ( true = false2
    | ~ bool(err) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_127]),c_0_125]),c_0_89]),c_0_124]) ).

cnf(c_0_136,plain,
    ( lazy_impl(true,lazy_impl(true,prop(esk7_0))) = false2
    | bool(prop(esk7_0)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_74]) ).

cnf(c_0_137,plain,
    ( false2 = err
    | bool(prop(X1))
    | ~ d(prop(X1)) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_138,negated_conjecture,
    ( bool(lazy_impl(true,esk8_0))
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(prop(esk2_2(esk8_0,esk9_0)),lazy_impl(true,lazy_impl(true,esk8_0)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_122]) ).

cnf(c_0_139,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | true = false2
    | bool(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))))
    | lazy_impl(true,lazy_impl(true,lazy_impl(true,lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0)))))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_140,plain,
    ( bool(lazy_impl(true,X1))
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_133]),c_0_134]) ).

cnf(c_0_141,plain,
    ~ bool(err),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_133]),c_0_134]) ).

fof(c_0_142,plain,
    ! [X42,X43] :
      ( bool(X42)
      | lazy_and1(X42,X43) = phi(X42) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[lazy_and1_axiom1])])]) ).

cnf(c_0_143,plain,
    ( false2 = err
    | bool(prop(esk7_0)) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_79]),c_0_125]),c_0_137]) ).

cnf(c_0_144,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | true = false2
    | bool(lazy_impl(true,esk8_0))
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(true,lazy_impl(true,lazy_impl(true,esk8_0)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_138,c_0_132]) ).

cnf(c_0_145,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))))
    | lazy_impl(true,lazy_impl(true,lazy_impl(true,lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0)))))) != lazy_and1(esk8_0,esk9_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_133]),c_0_134]) ).

cnf(c_0_146,plain,
    ( lazy_impl(X1,X2) = err
    | d(X1)
    | bool(X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_74]) ).

cnf(c_0_147,plain,
    ( d(X1)
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_79]),c_0_141]) ).

cnf(c_0_148,plain,
    ( bool(X1)
    | lazy_and1(X1,X2) = phi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_149,plain,
    ( prop(esk7_0) = true
    | prop(esk7_0) = false
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_38,c_0_143]) ).

cnf(c_0_150,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(lazy_impl(true,esk8_0))
    | lazy_impl(true,lazy_impl(true,lazy_impl(true,lazy_impl(true,esk8_0)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_133]),c_0_134]),c_0_140]) ).

cnf(c_0_151,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | d(esk8_0)
    | lazy_and1(esk8_0,esk9_0) != err ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_125]),c_0_125]),c_0_125]),c_0_141]),c_0_147]) ).

cnf(c_0_152,plain,
    ( lazy_and1(X1,X2) = lazy_impl(true,X1)
    | bool(X1) ),
    inference(rw,[status(thm)],[c_0_148,c_0_26]) ).

cnf(c_0_153,plain,
    ( lazy_impl(true,esk7_0) = false2
    | prop(esk7_0) = false
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_59,c_0_149]) ).

cnf(c_0_154,plain,
    ~ forallprefers(f2(X1,X2,X3),f2(X1,X2,esk2_2(X1,X2))),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_155,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(lazy_impl(true,esk8_0))
    | lazy_impl(true,lazy_impl(true,lazy_impl(true,esk8_0))) != lazy_and1(esk8_0,esk9_0)
    | ~ d(lazy_impl(true,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_150,c_0_35]) ).

cnf(c_0_156,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | d(esk8_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_79]),c_0_147]) ).

cnf(c_0_157,plain,
    ( lazy_impl(true,esk7_0) = false2
    | false2 = err
    | ~ forallprefers(lazy_impl(true,prop(X1)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_153]),c_0_33]) ).

cnf(c_0_158,plain,
    ~ forallprefers(lazy_impl(prop(X3),impl(lazy_impl(X1,impl(X2,X3)),X3)),lazy_impl(prop(esk2_2(X1,X2)),impl(lazy_impl(X1,impl(X2,esk2_2(X1,X2))),esk2_2(X1,X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_114]),c_0_114]) ).

cnf(c_0_159,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | lazy_and1(esk8_0,esk9_0) != lazy_impl(true,lazy_impl(true,esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_35]),c_0_156]) ).

cnf(c_0_160,plain,
    ( lazy_impl(true,esk7_0) = false2
    | false2 = err
    | ~ forallprefers(lazy_impl(true,false),true) ),
    inference(spm,[status(thm)],[c_0_157,c_0_153]) ).

cnf(c_0_161,plain,
    ( d(X1)
    | ~ forallprefers(lazy_impl(prop(X2),impl(err,X2)),lazy_impl(prop(esk2_2(X1,X3)),impl(lazy_impl(X1,impl(X3,esk2_2(X1,X3))),esk2_2(X1,X3)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_146]),c_0_147]) ).

cnf(c_0_162,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(true,esk8_0)) != lazy_impl(true,esk8_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_152]) ).

cnf(c_0_163,plain,
    ( lazy_impl(true,esk7_0) = false2
    | false2 = err ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_35]),c_0_94]),c_0_54])]) ).

cnf(c_0_164,negated_conjecture,
    ( d(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_156]),c_0_33]) ).

cnf(c_0_165,plain,
    ( prop(X1) = true
    | prop(X1) = false
    | false2 = err ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_93]),c_0_124]) ).

cnf(c_0_166,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | ~ d(lazy_impl(true,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_162,c_0_35]) ).

cnf(c_0_167,plain,
    ( esk7_0 = false2
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_56,c_0_163]) ).

cnf(c_0_168,negated_conjecture,
    ( d(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),err),true) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_122]),c_0_125]),c_0_141]) ).

cnf(c_0_169,plain,
    ( prop(X1) = false
    | prop(X1) = true ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_133]),c_0_124]) ).

cnf(c_0_170,plain,
    ( bool(X1)
    | ~ forallprefers(lazy_impl(prop(X2),impl(lazy_impl(true,X1),X2)),lazy_impl(prop(esk2_2(X1,X3)),impl(lazy_impl(X1,impl(X3,esk2_2(X1,X3))),esk2_2(X1,X3)))) ),
    inference(spm,[status(thm)],[c_0_158,c_0_74]) ).

cnf(c_0_171,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_35]),c_0_156]) ).

cnf(c_0_172,plain,
    ( lazy_impl(prop(false2),false2) = false2
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_59,c_0_167]) ).

cnf(c_0_173,negated_conjecture,
    ( prop(X1) = false
    | d(esk8_0)
    | ~ forallprefers(err,true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_125]) ).

cnf(c_0_174,negated_conjecture,
    ( bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(lazy_impl(true,esk8_0),X1)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_33]) ).

cnf(c_0_175,plain,
    lazy_impl(prop(false),false) = false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_133]),c_0_133]),c_0_133]),c_0_133]),c_0_124]) ).

cnf(c_0_176,negated_conjecture,
    ( prop(X1) = false
    | d(esk8_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_83]),c_0_37]),c_0_45])]),c_0_141]) ).

fof(c_0_177,plain,
    ! [X24] :
      ( ~ bool(X24)
      | impl(true,X24) = X24 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[impl_axiom4])]) ).

cnf(c_0_178,negated_conjecture,
    ( bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(esk8_0,X1)),true)
    | ~ d(esk8_0) ),
    inference(spm,[status(thm)],[c_0_174,c_0_35]) ).

cnf(c_0_179,negated_conjecture,
    d(esk8_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_33]),c_0_134]) ).

cnf(c_0_180,plain,
    ( impl(true,X1) = X1
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_181,plain,
    ( lazy_impl(prop(esk7_0),esk7_0) = false2
    | ~ d(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_31]) ).

cnf(c_0_182,plain,
    ( lazy_impl(true,true) = false
    | lazy_impl(true,true) = true
    | prop(X1) = false
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_116,c_0_132]) ).

cnf(c_0_183,negated_conjecture,
    ( bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(esk8_0,X1)),true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).

cnf(c_0_184,plain,
    ( prop(esk7_0) = false
    | false2 = err
    | ~ forallprefers(lazy_impl(true,true),false2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_149]) ).

cnf(c_0_185,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(lazy_impl(X2,X1),X1)),lazy_impl(prop(esk2_2(X2,true)),impl(lazy_impl(X2,impl(true,esk2_2(X2,true))),esk2_2(X2,true))))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_180]) ).

cnf(c_0_186,plain,
    ( lazy_impl(true,true) = true
    | lazy_impl(true,true) = false
    | true = false2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_33]),c_0_33]),c_0_37])]) ).

cnf(c_0_187,negated_conjecture,
    ( bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),lazy_impl(true,esk8_0)),true) ),
    inference(spm,[status(thm)],[c_0_183,c_0_122]) ).

cnf(c_0_188,plain,
    ( prop(esk7_0) = false
    | false2 = err
    | bool(lazy_impl(true,true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_83]),c_0_84]),c_0_64])]) ).

cnf(c_0_189,plain,
    ( lazy_impl(true,true) = false
    | true = false2
    | ~ forallprefers(lazy_impl(prop(true),impl(true,true)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_45])]) ).

cnf(c_0_190,negated_conjecture,
    ( bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),esk8_0),true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_35]),c_0_179])]) ).

cnf(c_0_191,plain,
    ( false2 = err
    | bool(lazy_impl(true,true))
    | ~ bool(esk7_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_188]),c_0_134]) ).

cnf(c_0_192,plain,
    ( lazy_impl(true,true) = false
    | true = false2
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_44]),c_0_45])]) ).

cnf(c_0_193,negated_conjecture,
    ( prop(X1) = false
    | bool(esk8_0)
    | ~ forallprefers(lazy_impl(true,esk8_0),true) ),
    inference(spm,[status(thm)],[c_0_190,c_0_169]) ).

cnf(c_0_194,plain,
    ( false2 = err
    | bool(lazy_impl(true,true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_167]),c_0_64])]) ).

cnf(c_0_195,plain,
    ( lazy_impl(true,true) = false
    | true = false2
    | bool(esk2_2(true,true))
    | ~ forallprefers(lazy_impl(true,impl(true,true)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_32]),c_0_33]) ).

cnf(c_0_196,negated_conjecture,
    ( prop(X1) = false
    | bool(esk8_0)
    | ~ forallprefers(esk8_0,true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_35]),c_0_179])]) ).

cnf(c_0_197,plain,
    ( lazy_impl(true,true) = true
    | lazy_impl(true,true) = false
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_38,c_0_194]) ).

cnf(c_0_198,plain,
    ( lazy_impl(true,true) = false
    | bool(esk2_2(true,true))
    | ~ forallprefers(lazy_impl(true,impl(true,true)),true) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_133]),c_0_134]) ).

cnf(c_0_199,negated_conjecture,
    ( bool(esk9_0)
    | lazy_impl(true,lazy_impl(prop(esk2_2(esk8_0,esk9_0)),impl(lazy_impl(esk8_0,lazy_impl(true,esk9_0)),esk2_2(esk8_0,esk9_0)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_200,negated_conjecture,
    ( prop(X1) = false
    | bool(esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_83]),c_0_37]),c_0_45])]) ).

fof(c_0_201,plain,
    ! [X45] : lazy_and1(true,X45) = phi(X45),
    inference(variable_rename,[status(thm)],[lazy_and1_axiom3]) ).

cnf(c_0_202,plain,
    ( lazy_impl(true,true) = false
    | false2 = err
    | ~ forallprefers(lazy_impl(prop(true),impl(true,true)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_197]),c_0_45])]) ).

cnf(c_0_203,plain,
    ( lazy_impl(X1,X2) = err
    | lazy_impl(X1,X2) = X1
    | bool(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_74]) ).

cnf(c_0_204,plain,
    ( lazy_impl(true,X1) = X1
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_56]),c_0_141]) ).

cnf(c_0_205,plain,
    ( lazy_impl(true,true) = false
    | bool(lazy_impl(true,impl(true,true)))
    | bool(esk2_2(true,true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_83]),c_0_37]),c_0_45])]) ).

cnf(c_0_206,negated_conjecture,
    ( bool(lazy_impl(esk8_0,lazy_impl(true,esk9_0)))
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(prop(esk2_2(esk8_0,esk9_0)),lazy_impl(true,lazy_impl(esk8_0,lazy_impl(true,esk9_0))))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_199,c_0_122]) ).

cnf(c_0_207,negated_conjecture,
    bool(esk8_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_200]),c_0_33]),c_0_134]) ).

cnf(c_0_208,plain,
    lazy_and1(true,X1) = phi(X1),
    inference(split_conjunct,[status(thm)],[c_0_201]) ).

cnf(c_0_209,plain,
    ( lazy_impl(true,true) = false
    | false2 = err
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_44]),c_0_45])]) ).

cnf(c_0_210,plain,
    ( lazy_impl(true,prop(X1)) = false
    | lazy_impl(true,prop(X1)) = true ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_133]),c_0_124]) ).

cnf(c_0_211,plain,
    ( lazy_impl(X1,X2) = err
    | lazy_impl(true,X1) = X1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_203]),c_0_204]) ).

cnf(c_0_212,plain,
    ( lazy_impl(true,impl(true,true)) = true
    | lazy_impl(true,impl(true,true)) = false
    | lazy_impl(true,true) = false
    | bool(esk2_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_205]) ).

cnf(c_0_213,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | false2 = err
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(esk8_0,lazy_impl(true,esk9_0)),esk2_2(esk8_0,esk9_0)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_199,c_0_165]) ).

cnf(c_0_214,negated_conjecture,
    ( d(esk9_0)
    | bool(lazy_impl(esk8_0,err))
    | lazy_impl(true,lazy_impl(prop(esk2_2(esk8_0,esk9_0)),lazy_impl(true,lazy_impl(esk8_0,err)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_79]),c_0_147]) ).

cnf(c_0_215,negated_conjecture,
    ( esk8_0 = true
    | esk8_0 = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_207]) ).

cnf(c_0_216,plain,
    lazy_and1(true,X1) = lazy_impl(true,X1),
    inference(rw,[status(thm)],[c_0_208,c_0_26]) ).

cnf(c_0_217,plain,
    ( lazy_impl(true,true) = false
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_133]),c_0_124]) ).

cnf(c_0_218,plain,
    lazy_impl(true,true) = true,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_124]),c_0_89]) ).

cnf(c_0_219,plain,
    ( lazy_impl(true,impl(true,true)) = false
    | lazy_impl(true,impl(true,true)) = true
    | lazy_impl(true,true) = false
    | esk2_2(true,true) = true
    | esk2_2(true,true) = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_212]) ).

cnf(c_0_220,negated_conjecture,
    ( prop(esk2_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(esk8_0,lazy_impl(true,esk9_0)),esk2_2(esk8_0,esk9_0)))) != lazy_and1(esk8_0,esk9_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_133]),c_0_124]) ).

cnf(c_0_221,negated_conjecture,
    ( esk8_0 = false
    | d(esk9_0)
    | lazy_impl(true,lazy_impl(prop(esk2_2(true,esk9_0)),err)) != lazy_impl(true,esk9_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_125]),c_0_125]),c_0_125]),c_0_216]),c_0_141]) ).

cnf(c_0_222,plain,
    ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218]),c_0_134]) ).

cnf(c_0_223,plain,
    ( lazy_impl(true,X1) = false
    | lazy_impl(true,X1) = true
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_133]),c_0_134]) ).

cnf(c_0_224,plain,
    ( lazy_impl(true,impl(true,true)) = false
    | esk2_2(true,true) = false
    | esk2_2(true,true) = true
    | lazy_impl(true,true) = false
    | impl(true,true) = true ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_219]),c_0_89]) ).

cnf(c_0_225,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(true,lazy_impl(true,esk9_0)),esk2_2(true,esk9_0)))) != lazy_impl(true,esk9_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_215]),c_0_216]) ).

cnf(c_0_226,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | d(esk9_0) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_169]),c_0_125]),c_0_125]),c_0_79]) ).

cnf(c_0_227,plain,
    ( lazy_impl(true,impl(true,esk2_2(true,true))) = false
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(prop(esk2_2(true,true)),impl(true,esk2_2(true,true))))
    | ~ bool(impl(true,esk2_2(true,true))) ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_228,plain,
    ( impl(true,true) = true
    | esk2_2(true,true) = true
    | esk2_2(true,true) = false
    | lazy_impl(true,true) = false ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_224]),c_0_94])]),c_0_38]) ).

cnf(c_0_229,plain,
    ( d(lazy_impl(prop(X1),X1))
    | ~ d(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_68]) ).

cnf(c_0_230,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(true,esk9_0),esk2_2(true,esk9_0)))) != esk9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_35]),c_0_226]) ).

cnf(c_0_231,plain,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(prop(esk2_2(true,true)),esk2_2(true,true)))
    | ~ bool(esk2_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_227,c_0_180]) ).

cnf(c_0_232,plain,
    ( esk2_2(true,true) = false
    | esk2_2(true,true) = true
    | impl(true,true) = true ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_218]),c_0_134]) ).

cnf(c_0_233,plain,
    ( false2 = err
    | d(lazy_impl(prop(X1),X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_59]),c_0_120]) ).

cnf(c_0_234,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(true,impl(esk9_0,esk2_2(true,esk9_0)))) != esk9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_35]),c_0_226]) ).

cnf(c_0_235,plain,
    ( impl(true,true) = true
    | esk2_2(true,true) = false
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(prop(true),true)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_218]),c_0_45])]),c_0_134]) ).

cnf(c_0_236,plain,
    d(lazy_impl(prop(X1),X1)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_133]),c_0_124]) ).

cnf(c_0_237,plain,
    bool(lazy_impl(prop(X1),X1)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_133]),c_0_124]) ).

cnf(c_0_238,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(true,lazy_impl(true,esk9_0))) != esk9_0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_122]) ).

cnf(c_0_239,plain,
    ( bool(X1)
    | ~ forallprefers(lazy_impl(prop(X2),impl(lazy_impl(X3,lazy_impl(true,X1)),X2)),lazy_impl(prop(esk2_2(X3,X1)),impl(lazy_impl(X3,impl(X1,esk2_2(X3,X1))),esk2_2(X3,X1)))) ),
    inference(spm,[status(thm)],[c_0_158,c_0_122]) ).

cnf(c_0_240,plain,
    ( esk2_2(true,true) = false
    | impl(true,true) = true
    | bool(lazy_impl(true,impl(true,true))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_83]),c_0_236]),c_0_237])]) ).

cnf(c_0_241,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(true,esk9_0)) != esk9_0
    | ~ d(lazy_impl(true,lazy_impl(true,esk9_0))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_35]) ).

cnf(c_0_242,plain,
    ( d(X1)
    | ~ forallprefers(lazy_impl(prop(X2),impl(lazy_impl(X3,err),X2)),lazy_impl(prop(esk2_2(X3,X1)),impl(lazy_impl(X3,impl(X1,esk2_2(X3,X1))),esk2_2(X3,X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_79]),c_0_147]) ).

cnf(c_0_243,plain,
    ( lazy_impl(true,true) = false
    | true = false2
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(true,impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true))))
    | ~ bool(esk2_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_192,c_0_44]) ).

cnf(c_0_244,plain,
    ( lazy_impl(true,impl(true,true)) = true
    | lazy_impl(true,impl(true,true)) = false
    | impl(true,true) = true
    | esk2_2(true,true) = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_240]) ).

cnf(c_0_245,plain,
    ( prop(X1) = false
    | true = false2
    | ~ forallprefers(lazy_impl(true,X1),false) ),
    inference(spm,[status(thm)],[c_0_102,c_0_132]) ).

cnf(c_0_246,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | bool(esk9_0)
    | lazy_impl(true,esk9_0) != esk9_0
    | ~ d(lazy_impl(true,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_241,c_0_35]) ).

cnf(c_0_247,negated_conjecture,
    ( esk8_0 = false
    | d(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),true) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_226]),c_0_125]),c_0_33]) ).

cnf(c_0_248,plain,
    ( lazy_impl(true,true) = false
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(true,impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true))))
    | ~ bool(esk2_2(true,true)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_133]),c_0_134]) ).

cnf(c_0_249,plain,
    ( esk2_2(true,true) = false
    | impl(true,true) = true
    | ~ forallprefers(lazy_impl(true,impl(true,true)),true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_44]),c_0_218]),c_0_45])]) ).

cnf(c_0_250,plain,
    ( lazy_impl(true,impl(true,true)) = false
    | esk2_2(true,true) = false
    | impl(true,true) = true ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_244]),c_0_89]) ).

cnf(c_0_251,plain,
    ( lazy_impl(true,lazy_impl(true,esk7_0)) = false2
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_49,c_0_39]) ).

cnf(c_0_252,plain,
    ( prop(X1) = false
    | true = false2
    | d(lazy_impl(true,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_68]),c_0_54])]) ).

cnf(c_0_253,plain,
    ( prop(X1) = false
    | true = false2
    | bool(lazy_impl(true,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_83]),c_0_54]),c_0_51])]) ).

cnf(c_0_254,negated_conjecture,
    ( prop(esk2_2(true,esk9_0)) = false
    | esk8_0 = false
    | bool(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_35]),c_0_226]) ).

cnf(c_0_255,negated_conjecture,
    ( esk8_0 = false
    | d(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),err),true) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_122]),c_0_125]),c_0_141]) ).

cnf(c_0_256,plain,
    ( ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(true,impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true))))
    | ~ bool(esk2_2(true,true)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_218]),c_0_134]) ).

cnf(c_0_257,plain,
    ( impl(true,true) = true
    | esk2_2(true,true) = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_94])]) ).

cnf(c_0_258,plain,
    esk7_0 = false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_133]),c_0_133]),c_0_124]) ).

cnf(c_0_259,plain,
    ( lazy_impl(true,esk7_0) = false2
    | true = false2
    | ~ d(lazy_impl(true,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_251]) ).

cnf(c_0_260,plain,
    ( true = false2
    | d(lazy_impl(true,esk7_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_252]),c_0_33]),c_0_33]),c_0_37])]) ).

cnf(c_0_261,plain,
    ( true = false2
    | bool(lazy_impl(true,esk7_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_253]),c_0_33]),c_0_33]),c_0_37])]) ).

cnf(c_0_262,negated_conjecture,
    ( esk8_0 = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(lazy_impl(true,lazy_impl(true,esk9_0)),X1)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_254]),c_0_33]) ).

cnf(c_0_263,negated_conjecture,
    ( prop(X1) = false
    | esk8_0 = false
    | d(esk9_0)
    | ~ forallprefers(err,true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_169]),c_0_125]) ).

cnf(c_0_264,plain,
    ( impl(true,true) = true
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(true,impl(lazy_impl(true,impl(true,false)),false))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_51])]) ).

cnf(c_0_265,plain,
    lazy_impl(true,false) = false,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_133]),c_0_133]),c_0_124]),c_0_258]) ).

fof(c_0_266,plain,
    ! [X23] :
      ( ~ bool(X23)
      | impl(false,X23) = true ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[impl_axiom3])]) ).

cnf(c_0_267,plain,
    ~ forallprefers(lazy_impl(prop(false2),impl(false2,false2)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_63]),c_0_64])]) ).

cnf(c_0_268,plain,
    ( lazy_impl(true,esk7_0) = false2
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_269,plain,
    ( lazy_impl(true,esk7_0) = true
    | lazy_impl(true,esk7_0) = false
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_38,c_0_261]) ).

cnf(c_0_270,negated_conjecture,
    ( esk8_0 = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(lazy_impl(true,esk9_0),X1)),true)
    | ~ d(lazy_impl(true,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_262,c_0_35]) ).

cnf(c_0_271,negated_conjecture,
    ( prop(X1) = false
    | esk8_0 = false
    | d(esk9_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_83]),c_0_37]),c_0_45])]),c_0_141]) ).

cnf(c_0_272,plain,
    ( impl(true,true) = true
    | ~ forallprefers(lazy_impl(true,impl(true,true)),lazy_impl(true,impl(false,false))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_180]),c_0_265]),c_0_51])]) ).

cnf(c_0_273,plain,
    ( impl(false,X1) = true
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_266]) ).

cnf(c_0_274,plain,
    ~ forallprefers(lazy_impl(true,impl(false2,false2)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_44]),c_0_64])]) ).

cnf(c_0_275,plain,
    ( lazy_impl(true,esk7_0) = false
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_276,negated_conjecture,
    ( esk8_0 = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(esk9_0,X1)),true)
    | ~ d(esk9_0) ),
    inference(spm,[status(thm)],[c_0_270,c_0_35]) ).

cnf(c_0_277,negated_conjecture,
    ( esk8_0 = false
    | d(esk9_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_271]),c_0_33]),c_0_134]) ).

cnf(c_0_278,plain,
    ~ forallprefers(lazy_impl(prop(X1),impl(true,X1)),lazy_impl(prop(esk2_2(false,X2)),impl(true,esk2_2(false,X2)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_33]),c_0_33]) ).

cnf(c_0_279,plain,
    ( impl(true,true) = true
    | ~ forallprefers(lazy_impl(true,impl(true,true)),true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_218]),c_0_51])]) ).

cnf(c_0_280,plain,
    ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_133]),c_0_133]) ).

cnf(c_0_281,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(true,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_91,c_0_39]) ).

cnf(c_0_282,plain,
    ( true = false2
    | d(esk7_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_275]),c_0_124]) ).

cnf(c_0_283,negated_conjecture,
    ( esk8_0 = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(esk9_0,X1)),true) ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_284,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(esk2_2(false,X2)),impl(true,esk2_2(false,X2))))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_278,c_0_180]) ).

cnf(c_0_285,plain,
    ( impl(true,true) = true
    | bool(lazy_impl(true,impl(true,true))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_83]),c_0_37]),c_0_45])]) ).

cnf(c_0_286,plain,
    ( prop(esk2_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(true,impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))) ),
    inference(spm,[status(thm)],[c_0_280,c_0_169]) ).

cnf(c_0_287,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(prop(X1),X1),esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_35]),c_0_282]) ).

cnf(c_0_288,plain,
    ( lazy_impl(true,X1) = false
    | true = false2
    | true = X1
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_127]),c_0_89]) ).

cnf(c_0_289,negated_conjecture,
    ( esk8_0 = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),lazy_impl(true,esk9_0)),true) ),
    inference(spm,[status(thm)],[c_0_283,c_0_122]) ).

cnf(c_0_290,plain,
    ~ forallprefers(false,lazy_impl(prop(esk2_2(false,X1)),impl(true,esk2_2(false,X1)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_175]),c_0_51])]) ).

cnf(c_0_291,plain,
    ( lazy_impl(true,impl(true,true)) = true
    | lazy_impl(true,impl(true,true)) = false
    | impl(true,true) = true ),
    inference(spm,[status(thm)],[c_0_38,c_0_285]) ).

cnf(c_0_292,plain,
    ( prop(esk2_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(true,impl(lazy_impl(true,esk2_2(true,true)),esk2_2(true,true)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_180]),c_0_32]) ).

cnf(c_0_293,plain,
    ( prop(X1) = false
    | true = false2
    | ~ forallprefers(lazy_impl(true,X1),esk7_0) ),
    inference(spm,[status(thm)],[c_0_287,c_0_132]) ).

cnf(c_0_294,plain,
    ( lazy_impl(true,X1) = false
    | true = X1
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_133]),c_0_134]) ).

cnf(c_0_295,negated_conjecture,
    ( esk8_0 = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),esk9_0),true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_35]),c_0_277]) ).

cnf(c_0_296,plain,
    bool(esk2_2(false,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_32]),c_0_33]),c_0_94])]) ).

cnf(c_0_297,plain,
    ( lazy_impl(true,impl(true,true)) = false
    | impl(true,true) = true ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_291]),c_0_89]) ).

cnf(c_0_298,plain,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | prop(esk2_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(true,impl(true,esk2_2(true,true)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_223]),c_0_32]) ).

cnf(c_0_299,plain,
    ( prop(X1) = false
    | ~ forallprefers(lazy_impl(true,X1),false) ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_133]),c_0_134]),c_0_258]) ).

cnf(c_0_300,plain,
    ( prop(esk2_2(true,true)) = false
    | esk2_2(true,true) = true
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(true,impl(false,esk2_2(true,true)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_294]),c_0_32]) ).

cnf(c_0_301,plain,
    ( bool(esk2_2(true,true))
    | ~ forallprefers(lazy_impl(true,impl(false2,false2)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_32]),c_0_33]) ).

cnf(c_0_302,negated_conjecture,
    ( prop(X1) = false
    | esk8_0 = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(true,esk9_0),true) ),
    inference(spm,[status(thm)],[c_0_295,c_0_169]) ).

cnf(c_0_303,plain,
    ( esk2_2(false,X1) = true
    | esk2_2(false,X1) = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_296]) ).

cnf(c_0_304,plain,
    impl(true,true) = true,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_297]),c_0_94])]) ).

cnf(c_0_305,plain,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | prop(esk2_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(true,esk2_2(true,true))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_180]),c_0_32]) ).

cnf(c_0_306,plain,
    ( prop(X1) = false
    | d(X1)
    | ~ forallprefers(err,false) ),
    inference(spm,[status(thm)],[c_0_299,c_0_79]) ).

cnf(c_0_307,plain,
    ( prop(esk2_2(true,true)) = false
    | esk2_2(true,true) = true
    | ~ forallprefers(lazy_impl(true,impl(false,false)),true) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_273]),c_0_218]),c_0_32]) ).

cnf(c_0_308,plain,
    ( bool(esk2_2(true,true))
    | ~ forallprefers(lazy_impl(true,impl(false,false)),true) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_133]),c_0_133]) ).

cnf(c_0_309,plain,
    ( lazy_impl(prop(X1),X1) = true
    | lazy_impl(prop(X1),X1) = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_237]) ).

cnf(c_0_310,negated_conjecture,
    ( prop(X1) = false
    | esk8_0 = false
    | bool(lazy_impl(true,esk9_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_83]),c_0_37]),c_0_45])]),c_0_140]) ).

cnf(c_0_311,plain,
    ( esk2_2(false,X1) = false
    | ~ forallprefers(false,lazy_impl(prop(true),true)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_303]),c_0_304]) ).

cnf(c_0_312,plain,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | prop(esk2_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),true) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_223]),c_0_134]),c_0_32]) ).

cnf(c_0_313,plain,
    ( prop(X1) = false
    | d(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_83]),c_0_54]),c_0_51])]),c_0_141]) ).

cnf(c_0_314,plain,
    ( prop(esk2_2(true,true)) = false
    | esk2_2(true,true) = true
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_83]),c_0_37]),c_0_45])]) ).

cnf(c_0_315,plain,
    ( bool(lazy_impl(true,impl(false,false)))
    | bool(esk2_2(true,true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_83]),c_0_37]),c_0_45])]) ).

cnf(c_0_316,negated_conjecture,
    ( lazy_impl(prop(esk2_2(esk8_0,esk9_0)),impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0))) != lazy_and1(esk8_0,esk9_0)
    | ~ d(lazy_impl(prop(esk2_2(esk8_0,esk9_0)),impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0)))) ),
    inference(spm,[status(thm)],[c_0_121,c_0_35]) ).

cnf(c_0_317,plain,
    ( lazy_impl(true,X1) = false
    | lazy_impl(true,X1) = true
    | prop(X1) = false ),
    inference(spm,[status(thm)],[c_0_309,c_0_169]) ).

cnf(c_0_318,negated_conjecture,
    ( esk8_0 = false
    | bool(lazy_impl(true,esk9_0)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_310]),c_0_33]),c_0_134]) ).

cnf(c_0_319,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(lazy_impl(X2,impl(X3,X1)),X1)),lazy_impl(true,impl(lazy_impl(X2,impl(X3,esk2_2(X2,X3))),esk2_2(X2,X3))))
    | ~ bool(esk2_2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_158,c_0_44]) ).

cnf(c_0_320,plain,
    esk2_2(false,X1) = false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_44]),c_0_218]),c_0_94]),c_0_45])]) ).

cnf(c_0_321,plain,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | prop(esk2_2(true,true)) = false
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_83]),c_0_37]),c_0_45])]) ).

cnf(c_0_322,plain,
    ( d(esk2_2(true,true))
    | ~ forallprefers(lazy_impl(true,impl(false,false)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_313]),c_0_33]) ).

cnf(c_0_323,plain,
    ( esk2_2(true,true) = true
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_314]),c_0_134]),c_0_315]) ).

cnf(c_0_324,negated_conjecture,
    ( lazy_impl(true,esk2_2(esk8_0,esk9_0)) = true
    | lazy_impl(true,esk2_2(esk8_0,esk9_0)) = false
    | lazy_and1(esk8_0,esk9_0) != true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_33]),c_0_33]),c_0_37])]) ).

cnf(c_0_325,negated_conjecture,
    ( lazy_impl(true,esk9_0) = true
    | lazy_impl(true,esk9_0) = false
    | esk8_0 = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_318]) ).

cnf(c_0_326,plain,
    ~ forallprefers(lazy_impl(prop(X1),impl(true,X1)),lazy_impl(true,impl(true,false))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_33]),c_0_33]),c_0_51])]) ).

cnf(c_0_327,plain,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_321]),c_0_134]),c_0_315]) ).

cnf(c_0_328,plain,
    ( d(esk2_2(true,true))
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_83]),c_0_37]),c_0_45])]) ).

cnf(c_0_329,plain,
    ( lazy_impl(true,impl(false,false)) = true
    | lazy_impl(true,impl(false,false)) = false
    | esk2_2(true,true) = true ),
    inference(spm,[status(thm)],[c_0_38,c_0_323]) ).

cnf(c_0_330,negated_conjecture,
    ( lazy_impl(true,esk2_2(true,esk9_0)) = false
    | lazy_impl(true,esk2_2(true,esk9_0)) = true
    | esk8_0 = false
    | lazy_impl(true,esk9_0) != true ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_215]),c_0_216]) ).

cnf(c_0_331,negated_conjecture,
    ( lazy_impl(true,esk9_0) = false
    | esk8_0 = false
    | esk9_0 = true ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_325]),c_0_89]) ).

cnf(c_0_332,plain,
    ~ forallprefers(lazy_impl(prop(X1),impl(true,X1)),false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_180]),c_0_265]),c_0_51])]) ).

cnf(c_0_333,plain,
    ( esk2_2(true,true) = false
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_327]),c_0_328]) ).

cnf(c_0_334,plain,
    ( lazy_impl(true,impl(false,false)) = false
    | esk2_2(true,true) = true
    | impl(false,false) = true ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_329]),c_0_89]) ).

cnf(c_0_335,negated_conjecture,
    ( lazy_impl(true,esk2_2(true,esk9_0)) = true
    | lazy_impl(true,esk2_2(true,esk9_0)) = false
    | lazy_impl(true,esk9_0) = false
    | esk8_0 = false
    | ~ bool(esk9_0) ),
    inference(spm,[status(thm)],[c_0_330,c_0_223]) ).

cnf(c_0_336,negated_conjecture,
    ( esk9_0 = true
    | esk8_0 = false
    | esk9_0 = false ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_331]),c_0_124]) ).

cnf(c_0_337,plain,
    ( prop(X1) = false
    | ~ forallprefers(lazy_impl(true,impl(true,X1)),false) ),
    inference(spm,[status(thm)],[c_0_332,c_0_169]) ).

cnf(c_0_338,plain,
    ( esk2_2(true,true) = true
    | d(impl(false,false)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_79]),c_0_141]) ).

cnf(c_0_339,plain,
    ( esk2_2(true,true) = false
    | d(impl(false,false)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_79]),c_0_141]) ).

cnf(c_0_340,plain,
    ( prop(esk2_2(true,true)) = false
    | impl(false,false) = true
    | esk2_2(true,true) = true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_334]),c_0_94])]) ).

cnf(c_0_341,negated_conjecture,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | lazy_impl(true,esk2_2(true,true)) = true
    | esk9_0 = false
    | esk8_0 = false ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_218]),c_0_45])]),c_0_134]) ).

cnf(c_0_342,plain,
    ~ forallprefers(false,lazy_impl(prop(false),impl(true,false))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_320]),c_0_320]) ).

cnf(c_0_343,plain,
    ( prop(X1) = false
    | bool(lazy_impl(true,impl(true,X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_83]),c_0_54]),c_0_51])]) ).

cnf(c_0_344,plain,
    ( prop(X1) = false
    | d(impl(true,X1))
    | ~ forallprefers(err,false) ),
    inference(spm,[status(thm)],[c_0_337,c_0_79]) ).

cnf(c_0_345,plain,
    d(impl(false,false)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_134]) ).

cnf(c_0_346,plain,
    ( ~ forallprefers(lazy_impl(true,impl(false2,false2)),lazy_impl(true,impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true))))
    | ~ bool(esk2_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_274,c_0_44]) ).

cnf(c_0_347,plain,
    ( esk2_2(true,true) = true
    | impl(false,false) = true
    | ~ bool(esk2_2(true,true)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_340]),c_0_134]) ).

cnf(c_0_348,negated_conjecture,
    ( esk8_0 = false
    | lazy_impl(true,lazy_impl(prop(esk2_2(true,esk9_0)),impl(lazy_impl(true,impl(esk9_0,esk2_2(true,esk9_0))),esk2_2(true,esk9_0)))) != lazy_impl(true,esk9_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_215]),c_0_216]) ).

cnf(c_0_349,negated_conjecture,
    ( lazy_impl(true,esk2_2(true,true)) = false
    | esk2_2(true,true) = true
    | esk8_0 = false
    | esk9_0 = false ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_341]),c_0_89]) ).

cnf(c_0_350,plain,
    ~ forallprefers(false,lazy_impl(true,impl(true,false))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_44]),c_0_51])]) ).

cnf(c_0_351,plain,
    ( lazy_impl(true,impl(true,X1)) = true
    | lazy_impl(true,impl(true,X1)) = false
    | prop(X1) = false ),
    inference(spm,[status(thm)],[c_0_38,c_0_343]) ).

cnf(c_0_352,plain,
    ( prop(X1) = false
    | d(impl(true,X1)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_83]),c_0_54]),c_0_51])]),c_0_141]) ).

cnf(c_0_353,plain,
    ~ forallprefers(impl(false,false),lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_35]),c_0_345])]) ).

cnf(c_0_354,plain,
    ( ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(true,impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true))))
    | ~ bool(esk2_2(true,true)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_133]),c_0_133]) ).

cnf(c_0_355,plain,
    ( impl(false,false) = true
    | esk2_2(true,true) = true ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_334]),c_0_94])]),c_0_347]) ).

cnf(c_0_356,negated_conjecture,
    ( esk9_0 = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(prop(esk2_2(true,true)),impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true)))) != true ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_336]),c_0_218]) ).

cnf(c_0_357,negated_conjecture,
    ( esk2_2(true,true) = true
    | esk2_2(true,true) = false
    | esk9_0 = false
    | esk8_0 = false ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_349]),c_0_124]) ).

cnf(c_0_358,plain,
    ( lazy_impl(true,impl(true,false)) = false
    | prop(false) = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_94])]) ).

cnf(c_0_359,plain,
    d(impl(true,false)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_352]),c_0_33]),c_0_134]) ).

cnf(c_0_360,plain,
    ( ~ forallprefers(impl(false,false),lazy_impl(true,impl(lazy_impl(true,impl(true,esk2_2(true,true))),esk2_2(true,true))))
    | ~ bool(esk2_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_353,c_0_44]) ).

cnf(c_0_361,plain,
    ( impl(false,false) = true
    | ~ forallprefers(lazy_impl(true,impl(false,false)),true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_304]),c_0_218]),c_0_304]),c_0_218]),c_0_45])]) ).

cnf(c_0_362,negated_conjecture,
    ( esk2_2(true,true) = false
    | esk8_0 = false
    | esk9_0 = false
    | lazy_impl(true,lazy_impl(prop(true),true)) != true ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_304]),c_0_218]),c_0_304]) ).

cnf(c_0_363,plain,
    ( impl(true,false) = false
    | prop(false) = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_358]),c_0_359])]) ).

cnf(c_0_364,plain,
    ( impl(false,false) = true
    | ~ forallprefers(impl(false,false),true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_355]),c_0_304]),c_0_218]),c_0_304]),c_0_218]),c_0_45])]) ).

cnf(c_0_365,plain,
    ( impl(false,false) = true
    | ~ bool(impl(false,false)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_294]),c_0_94])]) ).

cnf(c_0_366,negated_conjecture,
    ( esk2_2(true,true) = false
    | esk9_0 = false
    | esk8_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_44]),c_0_218]),c_0_218]),c_0_45])]) ).

cnf(c_0_367,plain,
    impl(true,false) = false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_363]),c_0_51])]),c_0_134]) ).

cnf(c_0_368,plain,
    impl(false,false) = true,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_83]),c_0_37]),c_0_45])]),c_0_365]) ).

cnf(c_0_369,plain,
    ( bool(esk2_2(X1,X2))
    | ~ forallprefers(lazy_impl(prop(X3),impl(lazy_impl(X1,impl(X2,X3)),X3)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_32]),c_0_33]) ).

cnf(c_0_370,negated_conjecture,
    ( lazy_impl(true,lazy_impl(true,impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0)))) != lazy_and1(esk8_0,esk9_0)
    | ~ bool(esk2_2(esk8_0,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_121,c_0_44]) ).

cnf(c_0_371,negated_conjecture,
    ( esk8_0 = false
    | esk9_0 = false
    | lazy_impl(true,lazy_impl(prop(false),true)) != true ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_366]),c_0_367]),c_0_265]),c_0_368]) ).

cnf(c_0_372,plain,
    ( bool(esk2_2(true,X1))
    | ~ forallprefers(lazy_impl(prop(X2),impl(impl(X1,X2),X2)),true)
    | ~ d(impl(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_369,c_0_35]) ).

cnf(c_0_373,plain,
    ( lazy_impl(true,impl(true,X1)) = false
    | impl(true,X1) = true
    | prop(X1) = false ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_351]),c_0_89]) ).

cnf(c_0_374,negated_conjecture,
    ( esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(true,impl(esk9_0,esk2_2(true,esk9_0))),esk2_2(true,esk9_0)))) != lazy_impl(true,esk9_0)
    | ~ bool(esk2_2(true,esk9_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_215]),c_0_216]) ).

cnf(c_0_375,negated_conjecture,
    ( esk9_0 = false
    | esk8_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_44]),c_0_218]),c_0_218]),c_0_51])]) ).

cnf(c_0_376,plain,
    bool(esk2_2(true,false)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_368]),c_0_367]),c_0_175]),c_0_94]),c_0_37])]) ).

cnf(c_0_377,plain,
    ( impl(true,X1) = true
    | impl(true,X1) = false
    | prop(X1) = false ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_373]),c_0_124]) ).

cnf(c_0_378,plain,
    ( lazy_impl(true,impl(X1,X2)) = err
    | ~ forallprefers(lazy_impl(prop(X2),impl(impl(X1,X2),X2)),lazy_impl(prop(esk2_2(true,X1)),impl(lazy_impl(true,impl(X1,esk2_2(true,X1))),esk2_2(true,X1)))) ),
    inference(spm,[status(thm)],[c_0_158,c_0_56]) ).

cnf(c_0_379,negated_conjecture,
    ( esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(true,impl(false,esk2_2(true,false))),esk2_2(true,false)))) != false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_265]),c_0_376])]) ).

cnf(c_0_380,plain,
    ( impl(true,X1) = false
    | impl(true,X1) = true
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_377]),c_0_134]) ).

cnf(c_0_381,plain,
    ( lazy_impl(true,impl(false,X1)) = err
    | ~ forallprefers(lazy_impl(prop(X1),impl(impl(false,X1),X1)),lazy_impl(prop(esk2_2(true,false)),impl(true,esk2_2(true,false)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_273]),c_0_218]),c_0_376])]) ).

cnf(c_0_382,negated_conjecture,
    ( esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(true,esk2_2(true,false)))) != false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_273]),c_0_218]),c_0_376])]) ).

cnf(c_0_383,plain,
    ( impl(true,X1) = false
    | true = X1
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_380]) ).

cnf(c_0_384,plain,
    ~ forallprefers(false,lazy_impl(prop(esk2_2(true,false)),impl(true,esk2_2(true,false)))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_368]),c_0_218]),c_0_367]),c_0_175]),c_0_89]) ).

cnf(c_0_385,negated_conjecture,
    ( esk2_2(true,false) = true
    | esk8_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_265]),c_0_265]),c_0_376])]) ).

cnf(c_0_386,negated_conjecture,
    ( lazy_impl(prop(esk2_2(esk8_0,esk9_0)),impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0))) != lazy_and1(esk8_0,esk9_0)
    | ~ bool(lazy_impl(prop(esk2_2(esk8_0,esk9_0)),impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0)))) ),
    inference(spm,[status(thm)],[c_0_121,c_0_204]) ).

cnf(c_0_387,negated_conjecture,
    ( esk8_0 = false
    | ~ forallprefers(false,lazy_impl(prop(true),true)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_304]) ).

fof(c_0_388,plain,
    ! [X44] : lazy_and1(false,X44) = false,
    inference(variable_rename,[status(thm)],[lazy_and1_axiom2]) ).

cnf(c_0_389,negated_conjecture,
    ( lazy_impl(true,impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0))) != lazy_and1(esk8_0,esk9_0)
    | ~ bool(lazy_impl(true,impl(lazy_impl(esk8_0,impl(esk9_0,esk2_2(esk8_0,esk9_0))),esk2_2(esk8_0,esk9_0))))
    | ~ bool(esk2_2(esk8_0,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_386,c_0_44]) ).

cnf(c_0_390,negated_conjecture,
    esk8_0 = false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_44]),c_0_218]),c_0_94]),c_0_45])]) ).

cnf(c_0_391,plain,
    lazy_and1(false,X1) = false,
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_392,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_390]),c_0_390]),c_0_320]),c_0_33]),c_0_390]),c_0_320]),c_0_367]),c_0_265]),c_0_390]),c_0_391]),c_0_390]),c_0_390]),c_0_320]),c_0_33]),c_0_390]),c_0_320]),c_0_367]),c_0_265]),c_0_51]),c_0_390]),c_0_320]),c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : SWW097+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Sat Jun  4 16:08:49 EDT 2022
% 0.15/0.30  % CPUTime  : 
% 0.15/0.37  # ENIGMATIC: Selected SinE mode:
% 0.15/0.38  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.15/0.38  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.15/0.38  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 25.72/4.63  # ENIGMATIC: Solved by autoschedule:
% 25.72/4.63  # No SInE strategy applied
% 25.72/4.63  # Trying AutoSched0 for 150 seconds
% 25.72/4.63  # AutoSched0-Mode selected heuristic G_E___042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 25.72/4.63  # and selection function SelectNewComplexAHPNS.
% 25.72/4.63  #
% 25.72/4.63  # Preprocessing time       : 0.017 s
% 25.72/4.63  # Presaturation interreduction done
% 25.72/4.63  
% 25.72/4.63  # Proof found!
% 25.72/4.63  # SZS status Theorem
% 25.72/4.63  # SZS output start CNFRefutation
% See solution above
% 25.72/4.63  # Training examples: 0 positive, 0 negative
% 25.72/4.63  
% 25.72/4.63  # -------------------------------------------------
% 25.72/4.63  # User time                : 2.172 s
% 25.72/4.63  # System time              : 0.032 s
% 25.72/4.63  # Total time               : 2.204 s
% 25.72/4.63  # Maximum resident set size: 7120 pages
% 25.72/4.63  
%------------------------------------------------------------------------------