%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW096+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 00:01:20 EDT 2022

% Result   : Theorem 78.39s 11.29s
% Output   : CNFRefutation 78.39s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

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

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

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

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

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

fof(prop_true,axiom,
    ! [X1] :
      ( prop(X1) = true
    <=> bool(X1) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom1) ).

fof(and1_and2,conjecture,
    ! [X5,X6] : and1(X5,X6) = and2(X5,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_and2) ).

fof(def_and2,axiom,
    ! [X5,X6] :
    ? [X7] :
      ( and2(X5,X6) = phi(f1(X5,X6,X7))
      & ~ ? [X8] : forallprefers(f1(X5,X6,X8),f1(X5,X6,X7)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_and2) ).

fof(def_f1,axiom,
    ! [X5,X6,X7] : f1(X5,X6,X7) = lazy_impl(prop(X7),impl(impl(X5,impl(X6,X7)),X7)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_f1) ).

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

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

fof(and1_axiom1,axiom,
    ! [X3,X4] :
      ( ~ bool(X3)
     => and1(X3,X4) = phi(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',and1_axiom1) ).

fof(impl_axiom2,axiom,
    ! [X3,X4] :
      ( ( bool(X3)
        & ~ bool(X4) )
     => impl(X3,X4) = phi(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',impl_axiom2) ).

fof(and1_axiom2,axiom,
    ! [X3,X4] :
      ( ( bool(X3)
        & ~ bool(X4) )
     => and1(X3,X4) = phi(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',and1_axiom2) ).

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/sandbox/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/sandbox/benchmark/Axioms/SWV012+0.ax',def_f2) ).

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

fof(and1_axiom4,axiom,
    ! [X4] :
      ( bool(X4)
     => and1(true,X4) = X4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',and1_axiom4) ).

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

fof(and1_axiom3,axiom,
    ! [X4] :
      ( bool(X4)
     => and1(false,X4) = false ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',and1_axiom3) ).

fof(c_0_25,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_26,plain,
    ! [X28] : lazy_impl(true,X28) = phi(X28),
    inference(variable_rename,[status(thm)],[lazy_impl_axiom3]) ).

fof(c_0_27,plain,
    ! [X81] : f7(X81) = lazy_impl(prop(X81),X81),
    inference(variable_rename,[status(thm)],[def_f7]) ).

fof(c_0_28,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_29,plain,
    false2 = phi(f7(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,plain,
    lazy_impl(true,X1) = phi(X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    f7(X1) = lazy_impl(prop(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_32,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_33,plain,
    ! [X27] : lazy_impl(false,X27) = true,
    inference(variable_rename,[status(thm)],[lazy_impl_axiom2]) ).

cnf(c_0_34,plain,
    ( phi(X1) = X1
    | ~ d(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    false2 = lazy_impl(true,lazy_impl(prop(esk7_0),esk7_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_36,plain,
    ( bool(X1)
    | prop(X1) = false ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,plain,
    lazy_impl(false,X1) = true,
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_38,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_39,plain,
    ( lazy_impl(true,X1) = X1
    | ~ d(X1) ),
    inference(rw,[status(thm)],[c_0_34,c_0_30]) ).

cnf(c_0_40,plain,
    ( lazy_impl(true,true) = false2
    | bool(esk7_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_41,plain,
    d(true),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_42,plain,
    ( X1 = false
    | X1 = true
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    ( true = false2
    | bool(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_44,plain,
    ( true = false2
    | esk7_0 = true
    | esk7_0 = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_45,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_46,plain,
    ( bool(X1)
    | X1 != true ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,plain,
    ( lazy_impl(true,lazy_impl(prop(true),true)) = false2
    | esk7_0 = false
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_35,c_0_44]) ).

cnf(c_0_48,plain,
    ( prop(X1) = true
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_49,plain,
    bool(true),
    inference(er,[status(thm)],[c_0_46]) ).

cnf(c_0_50,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_47,c_0_48]),c_0_49])]) ).

cnf(c_0_51,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_50,c_0_39]),c_0_41])]) ).

cnf(c_0_52,plain,
    ( bool(X1)
    | X1 != false ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_53,plain,
    ( lazy_impl(true,lazy_impl(true,esk7_0)) = false2
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_48]) ).

cnf(c_0_54,plain,
    ( esk7_0 = false
    | true = false2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_51]),c_0_41])]) ).

cnf(c_0_55,plain,
    bool(false),
    inference(er,[status(thm)],[c_0_52]) ).

cnf(c_0_56,plain,
    ( phi(X1) = err
    | phi(X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_57,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_53,c_0_54]),c_0_55])]) ).

cnf(c_0_58,plain,
    d(false),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_59,plain,
    ~ forallprefers(f7(X1),f7(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_60,plain,
    ( lazy_impl(true,X1) = X1
    | lazy_impl(true,X1) = err ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_30]),c_0_30]) ).

cnf(c_0_61,plain,
    ( lazy_impl(true,false) = false2
    | true = false2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_39]),c_0_58])]) ).

cnf(c_0_62,plain,
    ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(esk7_0),esk7_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_31]),c_0_31]) ).

cnf(c_0_63,plain,
    ( lazy_impl(prop(esk7_0),esk7_0) = false2
    | false2 = err ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_60]),c_0_35]) ).

cnf(c_0_64,plain,
    ( lazy_impl(true,X1) = X1
    | err != X1 ),
    inference(ef,[status(thm)],[c_0_60]) ).

cnf(c_0_65,plain,
    ( true = false2
    | false2 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_61]),c_0_58])]) ).

cnf(c_0_66,plain,
    ( ~ forallprefers(lazy_impl(true,X1),lazy_impl(prop(esk7_0),esk7_0))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_48]) ).

cnf(c_0_67,plain,
    lazy_impl(true,false2) = false2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_63]),c_0_64]) ).

cnf(c_0_68,plain,
    bool(false2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_65]),c_0_52]) ).

cnf(c_0_69,plain,
    ~ forallprefers(false2,lazy_impl(prop(esk7_0),esk7_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).

fof(c_0_70,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_71,plain,
    ( bool(esk7_0)
    | ~ forallprefers(false2,true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_36]),c_0_37]) ).

cnf(c_0_72,plain,
    ( d(X1)
    | forallprefers(X1,X2)
    | ~ d(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

fof(c_0_73,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_74,plain,
    ( ~ forallprefers(false2,lazy_impl(true,esk7_0))
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_48]) ).

cnf(c_0_75,plain,
    ( d(false2)
    | bool(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_41])]) ).

cnf(c_0_76,plain,
    ( bool(X1)
    | lazy_impl(X1,X2) = phi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_77,plain,
    ( d(false2)
    | ~ forallprefers(false2,lazy_impl(true,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(true,esk7_0))
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_48]) ).

cnf(c_0_79,plain,
    ( lazy_impl(X1,X2) = lazy_impl(true,X1)
    | bool(X1) ),
    inference(rw,[status(thm)],[c_0_76,c_0_30]) ).

cnf(c_0_80,plain,
    ( phi(X1) = err
    | d(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_81,plain,
    ( d(false2)
    | ~ d(lazy_impl(true,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_77,c_0_72]) ).

cnf(c_0_82,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_78,c_0_54]),c_0_55])]) ).

cnf(c_0_83,plain,
    ~ forallprefers(lazy_impl(true,prop(X1)),lazy_impl(prop(esk7_0),esk7_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_79]),c_0_66]) ).

cnf(c_0_84,plain,
    ( bool(X1)
    | forallprefers(X1,X2)
    | ~ d(X1)
    | ~ d(X2)
    | ~ bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_85,plain,
    ( lazy_impl(true,X1) = err
    | d(X1) ),
    inference(rw,[status(thm)],[c_0_80,c_0_30]) ).

cnf(c_0_86,plain,
    d(err),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_87,plain,
    ( d(false2)
    | ~ d(esk7_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_39]) ).

fof(c_0_88,negated_conjecture,
    ~ ! [X5,X6] : and1(X5,X6) = and2(X5,X6),
    inference(assume_negation,[status(cth)],[and1_and2]) ).

fof(c_0_89,plain,
    ! [X38,X39,X41] :
      ( and2(X38,X39) = phi(f1(X38,X39,esk1_2(X38,X39)))
      & ~ forallprefers(f1(X38,X39,X41),f1(X38,X39,esk1_2(X38,X39))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[def_and2])])])]) ).

cnf(c_0_90,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(prop(X1),X1),false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_39]),c_0_58])]) ).

cnf(c_0_91,plain,
    ( false2 = err
    | ~ forallprefers(lazy_impl(true,prop(X1)),false2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_63]) ).

cnf(c_0_92,plain,
    ( forallprefers(X1,X2)
    | bool(X1)
    | ~ d(X2)
    | ~ bool(X2) ),
    inference(csr,[status(thm)],[c_0_84,c_0_72]) ).

cnf(c_0_93,plain,
    d(false2),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_85]),c_0_86])]),c_0_87]) ).

fof(c_0_94,negated_conjecture,
    and1(esk8_0,esk9_0) != and2(esk8_0,esk9_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).

cnf(c_0_95,plain,
    and2(X1,X2) = phi(f1(X1,X2,esk1_2(X1,X2))),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

fof(c_0_96,plain,
    ! [X35,X36,X37] : f1(X35,X36,X37) = lazy_impl(prop(X37),impl(impl(X35,impl(X36,X37)),X37)),
    inference(variable_rename,[status(thm)],[def_f1]) ).

fof(c_0_97,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_98,plain,
    ( lazy_impl(prop(esk7_0),esk7_0) = false2
    | ~ d(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_35]) ).

cnf(c_0_99,plain,
    ( true = false2
    | d(lazy_impl(prop(X1),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_72]),c_0_58])]) ).

cnf(c_0_100,plain,
    ( false2 = err
    | bool(lazy_impl(true,prop(X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_68])]) ).

cnf(c_0_101,plain,
    ( forallprefers(X1,X2)
    | X1 != false
    | X2 != true ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_102,negated_conjecture,
    and1(esk8_0,esk9_0) != and2(esk8_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_103,plain,
    and2(X1,X2) = lazy_impl(true,f1(X1,X2,esk1_2(X1,X2))),
    inference(rw,[status(thm)],[c_0_95,c_0_30]) ).

cnf(c_0_104,plain,
    f1(X1,X2,X3) = lazy_impl(prop(X3),impl(impl(X1,impl(X2,X3)),X3)),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_105,plain,
    ( bool(X1)
    | impl(X1,X2) = phi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_106,plain,
    ( lazy_impl(prop(esk7_0),esk7_0) = false2
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_107,plain,
    ( lazy_impl(true,prop(X1)) = true
    | lazy_impl(true,prop(X1)) = false
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_42,c_0_100]) ).

cnf(c_0_108,plain,
    true != err,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

cnf(c_0_109,plain,
    ( forallprefers(X1,true)
    | X1 != false ),
    inference(er,[status(thm)],[c_0_101]) ).

cnf(c_0_110,negated_conjecture,
    lazy_impl(true,lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).

cnf(c_0_111,plain,
    ( impl(X1,X2) = lazy_impl(true,X1)
    | bool(X1) ),
    inference(rw,[status(thm)],[c_0_105,c_0_30]) ).

cnf(c_0_112,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(true,prop(X1)),false2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_106]) ).

cnf(c_0_113,plain,
    ( lazy_impl(true,prop(X1)) = false
    | prop(X1) = true
    | false2 = err ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_107]),c_0_108]) ).

cnf(c_0_114,plain,
    forallprefers(false,true),
    inference(er,[status(thm)],[c_0_109]) ).

cnf(c_0_115,negated_conjecture,
    ( bool(esk8_0)
    | lazy_impl(true,lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_116,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_112,c_0_92]),c_0_93]),c_0_68])]) ).

cnf(c_0_117,plain,
    ( prop(X1) = true
    | false2 = err
    | ~ forallprefers(false,false2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_113]) ).

cnf(c_0_118,plain,
    ( false2 = false
    | forallprefers(false,false2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_65]) ).

cnf(c_0_119,plain,
    ( false2 = false
    | false2 != err ),
    inference(spm,[status(thm)],[c_0_108,c_0_65]) ).

cnf(c_0_120,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(esk8_0,esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_60]) ).

cnf(c_0_121,plain,
    ( lazy_impl(true,prop(X1)) = true
    | lazy_impl(true,prop(X1)) = false
    | true = false2 ),
    inference(spm,[status(thm)],[c_0_42,c_0_116]) ).

cnf(c_0_122,plain,
    ( bool(X1)
    | prop(X1) != true ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_123,plain,
    ( prop(X1) = true
    | false2 = false ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).

cnf(c_0_124,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(prop(esk1_2(esk8_0,esk9_0)),lazy_impl(true,esk8_0))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_111]) ).

cnf(c_0_125,plain,
    ( lazy_impl(true,X1) = err
    | X1 != err ),
    inference(ef,[status(thm)],[c_0_60]) ).

cnf(c_0_126,plain,
    ( lazy_impl(true,prop(X1)) = false
    | prop(X1) = true
    | true = false2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_121]),c_0_108]) ).

cnf(c_0_127,plain,
    false != err,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

fof(c_0_128,plain,
    ! [X29,X30] :
      ( bool(X29)
      | and1(X29,X30) = phi(X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[and1_axiom1])])]) ).

cnf(c_0_129,plain,
    ( false2 = false
    | bool(X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_130,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(prop(esk1_2(esk8_0,esk9_0)),esk8_0)) != and1(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_60]),c_0_125]) ).

cnf(c_0_131,plain,
    ( prop(X1) = true
    | prop(X1) = false
    | true = false2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_126]),c_0_127]) ).

cnf(c_0_132,plain,
    ( bool(X1)
    | and1(X1,X2) = phi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_133,plain,
    ( prop(X1) = true
    | prop(X1) = false
    | false2 = err ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_113]),c_0_127]) ).

cnf(c_0_134,plain,
    lazy_impl(true,err) = err,
    inference(er,[status(thm)],[c_0_64]) ).

cnf(c_0_135,plain,
    ( false2 = false
    | X1 = true
    | X1 = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_129]) ).

cnf(c_0_136,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | lazy_impl(true,esk8_0) = err
    | true = false2
    | bool(esk8_0)
    | and1(esk8_0,esk9_0) != lazy_impl(true,lazy_impl(true,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_137,plain,
    ( and1(X1,X2) = lazy_impl(true,X1)
    | bool(X1) ),
    inference(rw,[status(thm)],[c_0_132,c_0_30]) ).

cnf(c_0_138,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | false2 = err
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_133]) ).

cnf(c_0_139,plain,
    false2 = false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_134]),c_0_108]),c_0_127]) ).

cnf(c_0_140,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | lazy_impl(true,esk8_0) = err
    | true = false2
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(true,esk8_0)) != lazy_impl(true,esk8_0) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_141,plain,
    ( prop(X1) = false
    | true = false2
    | ~ forallprefers(lazy_impl(true,X1),false) ),
    inference(spm,[status(thm)],[c_0_90,c_0_131]) ).

cnf(c_0_142,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | lazy_impl(true,lazy_impl(true,impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139]),c_0_127]) ).

cnf(c_0_143,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | lazy_impl(true,esk8_0) = err
    | true = false2
    | bool(esk8_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_60]),c_0_60]),c_0_125]) ).

cnf(c_0_144,plain,
    true != false,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

cnf(c_0_145,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_141,c_0_92]),c_0_58]),c_0_55])]) ).

cnf(c_0_146,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0)))
    | bool(esk8_0)
    | and1(esk8_0,esk9_0) != err ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_85]),c_0_134]) ).

cnf(c_0_147,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | lazy_impl(true,esk8_0) = err
    | bool(esk8_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_139]),c_0_144]) ).

cnf(c_0_148,plain,
    ( prop(X1) = false
    | bool(lazy_impl(true,X1)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_139]),c_0_144]) ).

cnf(c_0_149,negated_conjecture,
    ( lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0)
    | ~ d(lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)))) ),
    inference(spm,[status(thm)],[c_0_110,c_0_39]) ).

cnf(c_0_150,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | lazy_impl(true,impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0)
    | ~ d(impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_39]) ).

cnf(c_0_151,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0)))
    | bool(esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_137]),c_0_147]) ).

cnf(c_0_152,plain,
    ( bool(lazy_impl(true,X1))
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_148]),c_0_144]) ).

cnf(c_0_153,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | true = false2
    | lazy_impl(true,impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0)
    | ~ d(lazy_impl(true,impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)))) ),
    inference(spm,[status(thm)],[c_0_149,c_0_131]) ).

cnf(c_0_154,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | lazy_impl(true,impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_155,plain,
    ( lazy_impl(true,X1) = true
    | lazy_impl(true,X1) = false
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_152]) ).

cnf(c_0_156,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | true = false2
    | impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)) != and1(esk8_0,esk9_0)
    | ~ d(impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0))) ),
    inference(spm,[status(thm)],[c_0_153,c_0_39]) ).

cnf(c_0_157,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(lazy_impl(true,esk8_0))
    | lazy_impl(true,lazy_impl(true,lazy_impl(true,esk8_0))) != and1(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_111]),c_0_152]) ).

cnf(c_0_158,plain,
    ~ bool(err),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_155]),c_0_134]),c_0_108]),c_0_127]) ).

cnf(c_0_159,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | true = false2
    | bool(esk8_0)
    | impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0)) != and1(esk8_0,esk9_0)
    | ~ d(impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0))) ),
    inference(spm,[status(thm)],[c_0_156,c_0_111]) ).

cnf(c_0_160,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(esk8_0)
    | and1(esk8_0,esk9_0) != err ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_85]),c_0_134]),c_0_134]),c_0_158]) ).

cnf(c_0_161,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0)) != and1(esk8_0,esk9_0)
    | ~ d(impl(lazy_impl(true,esk8_0),esk1_2(esk8_0,esk9_0))) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_139]),c_0_144]) ).

cnf(c_0_162,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(esk8_0)
    | bool(esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_137]),c_0_85]) ).

cnf(c_0_163,plain,
    ~ forallprefers(f1(X1,X2,X3),f1(X1,X2,esk1_2(X1,X2))),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_164,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | impl(esk8_0,esk1_2(esk8_0,esk9_0)) != and1(esk8_0,esk9_0)
    | ~ d(impl(esk8_0,esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_39]),c_0_162]) ).

cnf(c_0_165,negated_conjecture,
    ( bool(esk9_0)
    | lazy_impl(true,lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,lazy_impl(true,esk9_0)),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

fof(c_0_166,plain,
    ! [X21,X22] :
      ( ~ bool(X21)
      | bool(X22)
      | impl(X21,X22) = phi(X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[impl_axiom2])])]) ).

cnf(c_0_167,plain,
    ~ forallprefers(lazy_impl(prop(X3),impl(impl(X1,impl(X2,X3)),X3)),lazy_impl(prop(esk1_2(X1,X2)),impl(impl(X1,impl(X2,esk1_2(X1,X2))),esk1_2(X1,X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_104]),c_0_104]) ).

cnf(c_0_168,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk8_0)
    | ~ d(lazy_impl(true,esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_111]),c_0_137]) ).

cnf(c_0_169,negated_conjecture,
    ( d(esk9_0)
    | bool(esk9_0)
    | lazy_impl(true,lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,err),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_85]) ).

cnf(c_0_170,plain,
    ( prop(X1) = false
    | prop(X1) = true ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_139]),c_0_127]) ).

cnf(c_0_171,plain,
    ( d(X1)
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_85]),c_0_158]) ).

cnf(c_0_172,plain,
    ( bool(X2)
    | impl(X1,X2) = phi(X2)
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_173,plain,
    ( bool(esk7_0)
    | ~ forallprefers(lazy_impl(true,prop(X1)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_36]),c_0_37]) ).

cnf(c_0_174,plain,
    ( bool(X1)
    | ~ forallprefers(lazy_impl(prop(X2),impl(lazy_impl(true,X1),X2)),lazy_impl(prop(esk1_2(X1,X3)),impl(impl(X1,impl(X3,esk1_2(X1,X3))),esk1_2(X1,X3)))) ),
    inference(spm,[status(thm)],[c_0_167,c_0_111]) ).

cnf(c_0_175,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_39]),c_0_162]) ).

cnf(c_0_176,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(esk9_0)
    | lazy_impl(true,lazy_impl(true,impl(impl(esk8_0,err),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).

cnf(c_0_177,plain,
    ( impl(X1,X2) = lazy_impl(true,X2)
    | bool(X2)
    | ~ bool(X1) ),
    inference(rw,[status(thm)],[c_0_172,c_0_30]) ).

fof(c_0_178,plain,
    ! [X31,X32] :
      ( ~ bool(X31)
      | bool(X32)
      | and1(X31,X32) = phi(X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[and1_axiom2])])]) ).

cnf(c_0_179,plain,
    ( prop(X1) = true
    | false2 = err
    | bool(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_113]),c_0_114])]) ).

cnf(c_0_180,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_174,c_0_175]),c_0_37]) ).

cnf(c_0_181,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(esk9_0)
    | lazy_impl(true,lazy_impl(true,impl(err,esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_134]),c_0_158]),c_0_175]) ).

cnf(c_0_182,plain,
    ( bool(X2)
    | and1(X1,X2) = phi(X2)
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_183,plain,
    ( false2 = err
    | bool(esk7_0)
    | bool(X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_179]) ).

cnf(c_0_184,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(esk8_0,X1)),true) ),
    inference(spm,[status(thm)],[c_0_180,c_0_60]) ).

cnf(c_0_185,negated_conjecture,
    ( bool(esk9_0)
    | lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,lazy_impl(true,esk9_0)),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0)
    | ~ d(lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,lazy_impl(true,esk9_0)),esk1_2(esk8_0,esk9_0)))) ),
    inference(spm,[status(thm)],[c_0_149,c_0_111]) ).

cnf(c_0_186,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(esk9_0)
    | and1(esk8_0,esk9_0) != err ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_111]),c_0_134]),c_0_134]),c_0_134]),c_0_158]) ).

cnf(c_0_187,plain,
    ( and1(X1,X2) = lazy_impl(true,X2)
    | bool(X2)
    | ~ bool(X1) ),
    inference(rw,[status(thm)],[c_0_182,c_0_30]) ).

cnf(c_0_188,plain,
    ( lazy_impl(true,esk7_0) = false2
    | false2 = err
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_63,c_0_48]) ).

cnf(c_0_189,plain,
    ( false2 = err
    | bool(esk7_0) ),
    inference(ef,[status(thm)],[c_0_183]) ).

cnf(c_0_190,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),lazy_impl(true,esk8_0)),true) ),
    inference(spm,[status(thm)],[c_0_184,c_0_111]) ).

cnf(c_0_191,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | lazy_impl(true,impl(impl(esk8_0,lazy_impl(true,esk9_0)),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0)
    | ~ d(lazy_impl(true,impl(impl(esk8_0,lazy_impl(true,esk9_0)),esk1_2(esk8_0,esk9_0)))) ),
    inference(spm,[status(thm)],[c_0_185,c_0_170]) ).

cnf(c_0_192,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | d(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_175]),c_0_85]),c_0_171]) ).

cnf(c_0_193,plain,
    ( lazy_impl(true,esk7_0) = false2
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_194,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),esk8_0),true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_60]),c_0_125]) ).

cnf(c_0_195,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | lazy_impl(true,impl(impl(esk8_0,esk9_0),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0)
    | ~ d(lazy_impl(true,impl(impl(esk8_0,esk9_0),esk1_2(esk8_0,esk9_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_39]),c_0_192]) ).

cnf(c_0_196,plain,
    ( esk7_0 = false2
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_60,c_0_193]) ).

cnf(c_0_197,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | prop(X1) = false
    | bool(esk8_0)
    | ~ forallprefers(lazy_impl(true,esk8_0),true) ),
    inference(spm,[status(thm)],[c_0_194,c_0_170]) ).

cnf(c_0_198,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | impl(impl(esk8_0,esk9_0),esk1_2(esk8_0,esk9_0)) != and1(esk8_0,esk9_0)
    | ~ d(impl(impl(esk8_0,esk9_0),esk1_2(esk8_0,esk9_0))) ),
    inference(spm,[status(thm)],[c_0_195,c_0_39]) ).

cnf(c_0_199,plain,
    ( lazy_impl(prop(false2),false2) = false2
    | false2 = err ),
    inference(spm,[status(thm)],[c_0_63,c_0_196]) ).

cnf(c_0_200,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | prop(X1) = false
    | bool(esk8_0)
    | ~ forallprefers(esk8_0,true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_60]),c_0_125]) ).

cnf(c_0_201,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | impl(lazy_impl(true,esk9_0),esk1_2(esk8_0,esk9_0)) != and1(esk8_0,esk9_0)
    | ~ d(impl(lazy_impl(true,esk9_0),esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_177]),c_0_175]) ).

cnf(c_0_202,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_199,c_0_139]),c_0_139]),c_0_139]),c_0_139]),c_0_127]) ).

cnf(c_0_203,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | prop(X1) = false
    | bool(esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_92]),c_0_41]),c_0_49])]) ).

cnf(c_0_204,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | impl(esk9_0,esk1_2(esk8_0,esk9_0)) != and1(esk8_0,esk9_0)
    | ~ d(impl(esk9_0,esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_39]),c_0_192]) ).

cnf(c_0_205,negated_conjecture,
    ( lazy_impl(true,esk8_0) = err
    | bool(esk8_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_37]),c_0_144]) ).

cnf(c_0_206,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | and1(esk8_0,esk9_0) != lazy_impl(true,esk9_0)
    | ~ d(lazy_impl(true,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_204,c_0_111]) ).

cnf(c_0_207,negated_conjecture,
    ( bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),true) ),
    inference(spm,[status(thm)],[c_0_180,c_0_205]) ).

cnf(c_0_208,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0)
    | ~ d(lazy_impl(true,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_187]),c_0_175]) ).

cnf(c_0_209,negated_conjecture,
    ( bool(esk8_0)
    | ~ forallprefers(lazy_impl(prop(X1),err),true) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_111]),c_0_134]),c_0_158]) ).

cnf(c_0_210,plain,
    ( bool(X1)
    | ~ forallprefers(lazy_impl(prop(X2),impl(impl(X3,lazy_impl(true,X1)),X2)),lazy_impl(prop(esk1_2(X3,X1)),impl(impl(X3,impl(X1,esk1_2(X3,X1))),esk1_2(X3,X1)))) ),
    inference(spm,[status(thm)],[c_0_167,c_0_111]) ).

cnf(c_0_211,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | bool(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_39]),c_0_192]) ).

cnf(c_0_212,negated_conjecture,
    ( prop(X1) = false
    | bool(esk8_0)
    | ~ forallprefers(err,true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_170]),c_0_134]) ).

cnf(c_0_213,negated_conjecture,
    ( bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(impl(esk8_0,lazy_impl(true,esk9_0)),X1)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_37]) ).

cnf(c_0_214,negated_conjecture,
    ( prop(X1) = false
    | bool(esk8_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_92]),c_0_41]),c_0_49])]),c_0_158]) ).

cnf(c_0_215,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(impl(esk8_0,esk9_0),X1)),true) ),
    inference(spm,[status(thm)],[c_0_213,c_0_60]) ).

cnf(c_0_216,negated_conjecture,
    bool(esk8_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_214]),c_0_37]),c_0_144]) ).

cnf(c_0_217,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(lazy_impl(true,esk9_0),X1)),true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_177]),c_0_216])]) ).

cnf(c_0_218,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(esk9_0,X1)),true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_60]),c_0_125]) ).

cnf(c_0_219,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),lazy_impl(true,esk9_0)),true) ),
    inference(spm,[status(thm)],[c_0_218,c_0_111]) ).

cnf(c_0_220,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),esk9_0),true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_60]),c_0_125]) ).

cnf(c_0_221,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | prop(X1) = false
    | bool(esk9_0)
    | ~ forallprefers(lazy_impl(true,esk9_0),true) ),
    inference(spm,[status(thm)],[c_0_220,c_0_170]) ).

fof(c_0_222,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])])])]) ).

fof(c_0_223,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]) ).

cnf(c_0_224,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | prop(X1) = false
    | bool(esk9_0)
    | ~ forallprefers(esk9_0,true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_60]),c_0_125]) ).

cnf(c_0_225,plain,
    ~ forallprefers(f2(X1,X2,X3),f2(X1,X2,esk2_2(X1,X2))),
    inference(split_conjunct,[status(thm)],[c_0_222]) ).

cnf(c_0_226,plain,
    f2(X1,X2,X3) = lazy_impl(prop(X3),impl(lazy_impl(X1,impl(X2,X3)),X3)),
    inference(split_conjunct,[status(thm)],[c_0_223]) ).

cnf(c_0_227,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | prop(X1) = false
    | bool(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_92]),c_0_41]),c_0_49])]) ).

cnf(c_0_228,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_225,c_0_226]),c_0_226]) ).

cnf(c_0_229,negated_conjecture,
    ( lazy_impl(true,esk9_0) = err
    | bool(esk9_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_227]),c_0_37]),c_0_144]) ).

cnf(c_0_230,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(prop(X1),X1),false2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_61]) ).

cnf(c_0_231,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_228,c_0_37]),c_0_37]) ).

fof(c_0_232,plain,
    ! [X24] :
      ( ~ bool(X24)
      | impl(true,X24) = X24 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[impl_axiom4])]) ).

cnf(c_0_233,negated_conjecture,
    ( bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(impl(esk8_0,err),X1)),true) ),
    inference(spm,[status(thm)],[c_0_213,c_0_229]) ).

cnf(c_0_234,plain,
    ( true = false2
    | bool(lazy_impl(prop(X1),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_92]),c_0_68])]),c_0_93])]) ).

cnf(c_0_235,plain,
    ( bool(esk2_2(false,X1))
    | ~ forallprefers(lazy_impl(prop(X2),impl(true,X2)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_36]),c_0_37]) ).

cnf(c_0_236,plain,
    ( impl(true,X1) = X1
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_232]) ).

cnf(c_0_237,negated_conjecture,
    ( bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),impl(err,X1)),true) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_177]),c_0_134]),c_0_216])]),c_0_158]) ).

cnf(c_0_238,plain,
    ( bool(lazy_impl(prop(X1),impl(true,X1)))
    | ~ bool(lazy_impl(prop(esk2_2(false,X2)),impl(true,esk2_2(false,X2)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_92]),c_0_171]) ).

cnf(c_0_239,plain,
    bool(lazy_impl(prop(X1),X1)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_139]),c_0_144]) ).

cnf(c_0_240,plain,
    ( bool(esk2_2(false,X1))
    | ~ forallprefers(lazy_impl(prop(X2),X2),true)
    | ~ bool(X2) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_241,negated_conjecture,
    ( bool(esk9_0)
    | ~ forallprefers(lazy_impl(prop(X1),err),true) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_111]),c_0_134]),c_0_158]) ).

cnf(c_0_242,plain,
    ( bool(lazy_impl(prop(X1),impl(true,X1)))
    | ~ bool(esk2_2(false,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_236]),c_0_239])]) ).

cnf(c_0_243,plain,
    bool(esk2_2(false,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_202]),c_0_114]),c_0_55])]) ).

cnf(c_0_244,negated_conjecture,
    ( prop(X1) = false
    | bool(esk9_0)
    | ~ forallprefers(err,true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_170]),c_0_134]) ).

cnf(c_0_245,plain,
    bool(lazy_impl(prop(X1),impl(true,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243])]) ).

cnf(c_0_246,negated_conjecture,
    ( bool(esk1_2(esk8_0,esk9_0))
    | 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_149,c_0_36]),c_0_37]),c_0_37]),c_0_41])]) ).

cnf(c_0_247,negated_conjecture,
    ( esk8_0 = true
    | esk8_0 = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_216]) ).

fof(c_0_248,plain,
    ! [X34] :
      ( ~ bool(X34)
      | and1(true,X34) = X34 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[and1_axiom4])]) ).

cnf(c_0_249,negated_conjecture,
    ( prop(X1) = false
    | bool(esk9_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_92]),c_0_41]),c_0_49])]),c_0_158]) ).

cnf(c_0_250,plain,
    ( prop(X1) = false
    | bool(lazy_impl(true,impl(true,X1))) ),
    inference(spm,[status(thm)],[c_0_245,c_0_170]) ).

cnf(c_0_251,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(impl(X2,X1),X1)),lazy_impl(prop(esk1_2(X2,true)),impl(impl(X2,impl(true,esk1_2(X2,true))),esk1_2(X2,true))))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_167,c_0_236]) ).

cnf(c_0_252,negated_conjecture,
    ( esk8_0 = false
    | bool(esk1_2(true,esk9_0))
    | and1(true,esk9_0) != true ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_253,plain,
    ( and1(true,X1) = X1
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_248]) ).

cnf(c_0_254,negated_conjecture,
    bool(esk9_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_249]),c_0_37]),c_0_144]) ).

cnf(c_0_255,plain,
    ( lazy_impl(true,impl(true,X1)) = true
    | lazy_impl(true,impl(true,X1)) = false
    | prop(X1) = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_250]) ).

cnf(c_0_256,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(X1,X1)),lazy_impl(prop(esk1_2(true,true)),impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true))))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_251,c_0_236]) ).

cnf(c_0_257,negated_conjecture,
    ( esk8_0 = false
    | bool(esk1_2(true,esk9_0))
    | esk9_0 != true ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_46]) ).

cnf(c_0_258,negated_conjecture,
    ( esk9_0 = true
    | esk9_0 = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_254]) ).

cnf(c_0_259,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_60,c_0_255]),c_0_108]) ).

cnf(c_0_260,plain,
    ( ~ forallprefers(lazy_impl(true,impl(X1,X1)),lazy_impl(prop(esk1_2(true,true)),impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true))))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_256,c_0_48]) ).

cnf(c_0_261,negated_conjecture,
    ( esk8_0 = false
    | lazy_impl(true,lazy_impl(prop(esk1_2(true,esk9_0)),impl(impl(true,impl(esk9_0,esk1_2(true,esk9_0))),esk1_2(true,esk9_0)))) != and1(true,esk9_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_247]) ).

cnf(c_0_262,negated_conjecture,
    ( esk9_0 = false
    | esk8_0 = false
    | bool(esk1_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_263,plain,
    ( impl(true,X1) = true
    | impl(true,X1) = false
    | prop(X1) = false ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_259]),c_0_127]) ).

cnf(c_0_264,plain,
    ( impl(true,true) = true
    | prop(true) = false
    | ~ forallprefers(false,lazy_impl(prop(esk1_2(true,true)),impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_259]),c_0_49])]) ).

cnf(c_0_265,negated_conjecture,
    ( esk9_0 = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(prop(esk1_2(true,true)),impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true)))) != and1(true,true) ),
    inference(spm,[status(thm)],[c_0_261,c_0_258]) ).

cnf(c_0_266,negated_conjecture,
    ( esk1_2(true,true) = true
    | esk1_2(true,true) = false
    | esk8_0 = false
    | esk9_0 = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_262]) ).

cnf(c_0_267,plain,
    ( impl(true,false) = false
    | impl(true,false) = true ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_263]),c_0_37]),c_0_144]) ).

cnf(c_0_268,plain,
    ( impl(true,true) = true
    | prop(true) = false
    | bool(esk1_2(true,true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_36]),c_0_37]),c_0_114])]) ).

cnf(c_0_269,negated_conjecture,
    ( esk1_2(true,true) = false
    | esk8_0 = false
    | esk9_0 = false
    | lazy_impl(true,lazy_impl(prop(true),impl(impl(true,impl(true,true)),true))) != and1(true,true) ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_270,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(X1,X2),X2)),lazy_impl(prop(esk1_2(X1,true)),impl(impl(X1,impl(true,esk1_2(X1,true))),esk1_2(X1,true))))
    | ~ bool(X2) ),
    inference(spm,[status(thm)],[c_0_251,c_0_48]) ).

cnf(c_0_271,plain,
    impl(true,false) = false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_267]),c_0_55])]),c_0_144]) ).

cnf(c_0_272,plain,
    ( impl(true,X1) = false
    | impl(true,X1) = true
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_263]),c_0_144]) ).

cnf(c_0_273,plain,
    ( impl(true,true) = true
    | prop(true) = false
    | ~ forallprefers(false,lazy_impl(true,impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_48]),c_0_268]) ).

cnf(c_0_274,plain,
    ( lazy_impl(X1,X2) = err
    | lazy_impl(X1,X2) = X1
    | bool(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_79]) ).

cnf(c_0_275,plain,
    ( lazy_impl(true,X1) = X1
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_60]),c_0_158]) ).

cnf(c_0_276,negated_conjecture,
    ( lazy_impl(true,lazy_impl(true,impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0)
    | ~ bool(esk1_2(esk8_0,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_110,c_0_48]) ).

cnf(c_0_277,negated_conjecture,
    ( esk1_2(true,true) = false
    | esk9_0 = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(prop(true),impl(impl(true,true),true))) != and1(true,true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_236]),c_0_49])]) ).

cnf(c_0_278,plain,
    ( d(lazy_impl(prop(X1),X1))
    | ~ d(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_72]) ).

cnf(c_0_279,plain,
    ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(prop(esk1_2(true,true)),impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_55])]) ).

cnf(c_0_280,plain,
    ( impl(true,X1) = false
    | true = X1
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_236,c_0_272]) ).

cnf(c_0_281,plain,
    ( prop(X1) = false
    | d(impl(true,X1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_85]),c_0_158]) ).

cnf(c_0_282,plain,
    ( impl(true,true) = true
    | prop(true) = false
    | ~ forallprefers(false,lazy_impl(true,impl(impl(true,esk1_2(true,true)),esk1_2(true,true)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_236]),c_0_268]) ).

cnf(c_0_283,plain,
    ( impl(true,esk1_2(true,true)) = false
    | impl(true,esk1_2(true,true)) = true
    | impl(true,true) = true
    | prop(true) = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_263]),c_0_37]),c_0_114])]) ).

cnf(c_0_284,plain,
    ( lazy_impl(true,prop(X1)) = false
    | lazy_impl(true,prop(X1)) = true ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_139]),c_0_127]) ).

cnf(c_0_285,plain,
    ( lazy_impl(X1,X2) = err
    | lazy_impl(true,X1) = X1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_274]),c_0_275]) ).

cnf(c_0_286,negated_conjecture,
    ( esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(impl(true,impl(esk9_0,esk1_2(true,esk9_0))),esk1_2(true,esk9_0)))) != and1(true,esk9_0)
    | ~ bool(esk1_2(true,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_276,c_0_247]) ).

cnf(c_0_287,negated_conjecture,
    ( esk1_2(true,true) = false
    | esk8_0 = false
    | esk9_0 = false
    | lazy_impl(true,lazy_impl(prop(true),impl(true,true))) != and1(true,true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_236]),c_0_49])]) ).

cnf(c_0_288,plain,
    ( false2 = err
    | d(lazy_impl(prop(X1),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_63]),c_0_93])]) ).

cnf(c_0_289,plain,
    ( impl(true,esk1_2(true,true)) = true
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(prop(esk1_2(true,true)),impl(false,esk1_2(true,true))))
    | ~ bool(impl(true,esk1_2(true,true))) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_290,plain,
    ( prop(X1) = false
    | bool(impl(true,X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_39]),c_0_281]) ).

fof(c_0_291,plain,
    ! [X23] :
      ( ~ bool(X23)
      | impl(false,X23) = true ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[impl_axiom3])]) ).

cnf(c_0_292,plain,
    ( impl(true,esk1_2(true,true)) = false
    | impl(true,true) = true
    | prop(true) = false
    | ~ forallprefers(false,lazy_impl(true,impl(true,esk1_2(true,true)))) ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_293,plain,
    lazy_impl(true,true) = true,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_127]),c_0_108]) ).

cnf(c_0_294,negated_conjecture,
    ( esk9_0 = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true)))) != and1(true,true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_258]),c_0_262]) ).

cnf(c_0_295,negated_conjecture,
    ( esk1_2(true,true) = false
    | esk9_0 = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(prop(true),true)) != and1(true,true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_236]),c_0_49])]) ).

cnf(c_0_296,plain,
    ( d(lazy_impl(prop(X1),impl(true,X1)))
    | ~ d(lazy_impl(prop(esk2_2(false,X2)),impl(true,esk2_2(false,X2)))) ),
    inference(spm,[status(thm)],[c_0_231,c_0_72]) ).

cnf(c_0_297,plain,
    d(lazy_impl(prop(X1),X1)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_139]),c_0_127]) ).

cnf(c_0_298,plain,
    ( impl(true,esk1_2(true,true)) = true
    | prop(esk1_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(prop(esk1_2(true,true)),impl(false,esk1_2(true,true)))) ),
    inference(spm,[status(thm)],[c_0_289,c_0_290]) ).

cnf(c_0_299,plain,
    ( impl(false,X1) = true
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_291]) ).

cnf(c_0_300,plain,
    ( impl(true,esk1_2(true,true)) = false
    | impl(true,true) = true
    | prop(true) = false ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_283]),c_0_293]),c_0_114])]),c_0_144]) ).

cnf(c_0_301,negated_conjecture,
    ( esk8_0 = false
    | esk9_0 = false
    | lazy_impl(true,lazy_impl(true,impl(impl(true,esk1_2(true,true)),esk1_2(true,true)))) != and1(true,true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_236]),c_0_262]) ).

cnf(c_0_302,negated_conjecture,
    ( esk1_2(true,true) = false
    | esk8_0 = false
    | esk9_0 = false
    | and1(true,true) != true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_48]),c_0_293]),c_0_293]),c_0_49])]) ).

cnf(c_0_303,plain,
    ( impl(true,impl(true,esk1_2(true,true))) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(prop(esk1_2(true,true)),impl(true,esk1_2(true,true))))
    | ~ bool(impl(true,esk1_2(true,true))) ),
    inference(spm,[status(thm)],[c_0_279,c_0_272]) ).

cnf(c_0_304,plain,
    ( d(lazy_impl(prop(X1),impl(true,X1)))
    | ~ bool(esk2_2(false,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_236]),c_0_297])]) ).

cnf(c_0_305,plain,
    ( impl(true,esk1_2(true,true)) = true
    | prop(esk1_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(prop(esk1_2(true,true)),true)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_36]) ).

cnf(c_0_306,plain,
    ( bool(esk1_2(true,true))
    | ~ forallprefers(lazy_impl(true,impl(false,false)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_36]),c_0_37]) ).

cnf(c_0_307,plain,
    ( impl(true,true) = true
    | prop(true) = false
    | ~ forallprefers(false,lazy_impl(true,impl(false,esk1_2(true,true)))) ),
    inference(spm,[status(thm)],[c_0_282,c_0_300]) ).

cnf(c_0_308,negated_conjecture,
    ( esk9_0 = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(esk1_2(true,true),esk1_2(true,true)))) != and1(true,true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_236]),c_0_262]) ).

cnf(c_0_309,negated_conjecture,
    ( esk1_2(true,true) = false
    | esk9_0 = false
    | esk8_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_253]),c_0_49])]) ).

cnf(c_0_310,plain,
    ( impl(true,impl(true,esk1_2(true,true))) = false
    | prop(esk1_2(true,true)) = false
    | ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(prop(esk1_2(true,true)),impl(true,esk1_2(true,true)))) ),
    inference(spm,[status(thm)],[c_0_303,c_0_290]) ).

cnf(c_0_311,plain,
    d(lazy_impl(prop(X1),impl(true,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_243])]) ).

cnf(c_0_312,plain,
    ( impl(true,esk1_2(true,true)) = true
    | ~ forallprefers(lazy_impl(true,impl(false,false)),true) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_48]),c_0_293]),c_0_144]),c_0_306]) ).

cnf(c_0_313,plain,
    ( impl(true,true) = true
    | prop(true) = false ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_299]),c_0_293]),c_0_114])]),c_0_268]) ).

cnf(c_0_314,negated_conjecture,
    ( esk8_0 = false
    | esk9_0 = false
    | lazy_impl(true,lazy_impl(true,impl(false,false))) != and1(true,true) ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_315,plain,
    ( impl(true,impl(true,esk1_2(true,true))) = false
    | prop(esk1_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_310,c_0_92]),c_0_311]),c_0_245])]) ).

cnf(c_0_316,plain,
    ( impl(true,esk1_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_312,c_0_92]),c_0_41]),c_0_49])]) ).

cnf(c_0_317,plain,
    impl(true,true) = true,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_313]),c_0_49])]),c_0_144]) ).

cnf(c_0_318,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | false2 = err
    | lazy_impl(true,lazy_impl(true,impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_133]) ).

cnf(c_0_319,negated_conjecture,
    ( esk9_0 = false
    | esk8_0 = false
    | and1(true,true) != true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_299]),c_0_293]),c_0_293]),c_0_55])]) ).

cnf(c_0_320,plain,
    ( prop(esk1_2(true,true)) = false
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_317]),c_0_144]) ).

cnf(c_0_321,negated_conjecture,
    ( prop(esk1_2(esk8_0,esk9_0)) = false
    | lazy_impl(true,lazy_impl(true,impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)))) != and1(esk8_0,esk9_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_139]),c_0_127]) ).

cnf(c_0_322,negated_conjecture,
    ( esk8_0 = false
    | esk9_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_253]),c_0_49])]) ).

cnf(c_0_323,plain,
    ( bool(lazy_impl(true,impl(false,false)))
    | ~ bool(esk1_2(true,true)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_320]),c_0_144]) ).

cnf(c_0_324,negated_conjecture,
    ( prop(esk1_2(esk8_0,false)) = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(impl(esk8_0,impl(false,esk1_2(esk8_0,false))),esk1_2(esk8_0,false)))) != and1(esk8_0,false) ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_325,plain,
    ( false2 = err
    | esk7_0 = true
    | esk7_0 = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_189]) ).

cnf(c_0_326,plain,
    ( lazy_impl(true,esk1_2(true,true)) = true
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_316]),c_0_49])]),c_0_323]) ).

cnf(c_0_327,negated_conjecture,
    ( prop(esk1_2(esk8_0,false)) = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(impl(esk8_0,true),esk1_2(esk8_0,false)))) != and1(esk8_0,false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_299]),c_0_36]) ).

cnf(c_0_328,plain,
    ( esk7_0 = false
    | false2 = err
    | ~ forallprefers(false2,lazy_impl(true,true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_325]),c_0_49])]) ).

cnf(c_0_329,plain,
    ( esk1_2(true,true) = true
    | bool(lazy_impl(true,impl(false,false))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_326]),c_0_108]) ).

cnf(c_0_330,negated_conjecture,
    ( prop(esk1_2(true,false)) = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(impl(true,true),esk1_2(true,false)))) != and1(true,false) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_247]),c_0_144]) ).

cnf(c_0_331,plain,
    ( false2 = err
    | esk7_0 = false
    | ~ forallprefers(false2,true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_39]),c_0_41])]) ).

cnf(c_0_332,plain,
    ( lazy_impl(true,impl(false,false)) = true
    | lazy_impl(true,impl(false,false)) = false
    | esk1_2(true,true) = true ),
    inference(spm,[status(thm)],[c_0_42,c_0_329]) ).

cnf(c_0_333,negated_conjecture,
    ( prop(esk1_2(true,false)) = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(true,impl(true,esk1_2(true,false)))) != and1(true,false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_236]),c_0_49])]) ).

cnf(c_0_334,plain,
    esk7_0 = false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_139]),c_0_139]),c_0_114])]),c_0_127]) ).

cnf(c_0_335,plain,
    ( lazy_impl(true,impl(false,false)) = false
    | esk1_2(true,true) = true
    | impl(false,false) = true ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_332]),c_0_108]) ).

cnf(c_0_336,negated_conjecture,
    ( prop(esk1_2(true,false)) = false
    | esk8_0 = false
    | lazy_impl(true,lazy_impl(true,esk1_2(true,false))) != and1(true,false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_236]),c_0_36]) ).

cnf(c_0_337,plain,
    ( lazy_impl(true,X1) = false
    | true = X1
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_155]),c_0_108]) ).

cnf(c_0_338,plain,
    lazy_impl(true,false) = false,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_139]),c_0_139]),c_0_127]),c_0_334]) ).

cnf(c_0_339,plain,
    ( impl(true,esk1_2(true,true)) = true
    | impl(false,false) = true
    | esk1_2(true,true) = true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_335]),c_0_114])]) ).

cnf(c_0_340,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(impl(X2,true),X1)),lazy_impl(prop(esk1_2(X2,false)),impl(impl(X2,impl(false,esk1_2(X2,false))),esk1_2(X2,false))))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_167,c_0_299]) ).

cnf(c_0_341,negated_conjecture,
    ( prop(esk1_2(true,false)) = false
    | esk1_2(true,false) = true
    | esk8_0 = false
    | and1(true,false) != false ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_36]) ).

cnf(c_0_342,plain,
    ( impl(false,false) = true
    | esk1_2(true,true) = true
    | ~ bool(esk1_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_236,c_0_339]) ).

cnf(c_0_343,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(X1,true),X2)),lazy_impl(prop(esk1_2(X1,false)),impl(impl(X1,impl(false,esk1_2(X1,false))),esk1_2(X1,false))))
    | ~ bool(X2) ),
    inference(spm,[status(thm)],[c_0_340,c_0_48]) ).

cnf(c_0_344,negated_conjecture,
    ( prop(esk1_2(true,false)) = false
    | esk1_2(true,false) = true
    | esk8_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_253]),c_0_55])]) ).

cnf(c_0_345,plain,
    ( lazy_impl(true,esk1_2(true,true)) = true
    | esk1_2(true,true) = true
    | impl(false,false) = true ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_339]),c_0_49])]),c_0_342]) ).

cnf(c_0_346,negated_conjecture,
    ( esk1_2(true,false) = true
    | esk8_0 = false
    | ~ forallprefers(lazy_impl(true,impl(impl(true,true),X1)),true)
    | ~ bool(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_37]) ).

cnf(c_0_347,plain,
    ( ~ forallprefers(lazy_impl(true,impl(false,false)),lazy_impl(true,impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true))))
    | ~ bool(esk1_2(true,true)) ),
    inference(spm,[status(thm)],[c_0_279,c_0_48]) ).

cnf(c_0_348,plain,
    ( impl(false,false) = true
    | esk1_2(true,true) = true ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_345]),c_0_108]) ).

cnf(c_0_349,negated_conjecture,
    ( esk1_2(true,false) = true
    | esk8_0 = false
    | ~ forallprefers(lazy_impl(true,impl(true,X1)),true)
    | ~ bool(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_236]),c_0_49])]) ).

cnf(c_0_350,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_347,c_0_348]),c_0_317]),c_0_317]),c_0_317]),c_0_293]),c_0_49])]) ).

cnf(c_0_351,negated_conjecture,
    ( esk1_2(true,false) = true
    | esk8_0 = false
    | ~ forallprefers(lazy_impl(true,X1),true)
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_349,c_0_236]) ).

cnf(c_0_352,plain,
    ( impl(false,false) = true
    | d(impl(false,false))
    | ~ forallprefers(err,true) ),
    inference(spm,[status(thm)],[c_0_350,c_0_85]) ).

cnf(c_0_353,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(impl(X2,true),X1)),lazy_impl(prop(esk1_2(X2,false)),impl(impl(X2,true),esk1_2(X2,false))))
    | ~ bool(esk1_2(X2,false))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_299]) ).

cnf(c_0_354,negated_conjecture,
    ( esk1_2(true,false) = true
    | esk8_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_338]),c_0_114]),c_0_55])]) ).

cnf(c_0_355,plain,
    ( ~ forallprefers(impl(false,false),lazy_impl(prop(esk1_2(true,true)),impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true))))
    | ~ d(impl(false,false)) ),
    inference(spm,[status(thm)],[c_0_279,c_0_39]) ).

cnf(c_0_356,plain,
    ( impl(false,false) = true
    | d(impl(false,false)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_92]),c_0_41]),c_0_49])]),c_0_158]) ).

cnf(c_0_357,negated_conjecture,
    ( lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0))) != and1(esk8_0,esk9_0)
    | ~ bool(lazy_impl(prop(esk1_2(esk8_0,esk9_0)),impl(impl(esk8_0,impl(esk9_0,esk1_2(esk8_0,esk9_0))),esk1_2(esk8_0,esk9_0)))) ),
    inference(spm,[status(thm)],[c_0_110,c_0_275]) ).

cnf(c_0_358,negated_conjecture,
    ( esk8_0 = false
    | ~ forallprefers(lazy_impl(prop(X1),impl(true,X1)),lazy_impl(prop(true),true))
    | ~ bool(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_49])]),c_0_317]),c_0_317]),c_0_317]) ).

cnf(c_0_359,plain,
    ( impl(false,false) = true
    | ~ forallprefers(impl(false,false),lazy_impl(prop(esk1_2(true,true)),impl(impl(true,impl(true,esk1_2(true,true))),esk1_2(true,true)))) ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_360,plain,
    ( bool(esk1_2(X1,X2))
    | ~ forallprefers(lazy_impl(prop(X3),impl(impl(X1,impl(X2,X3)),X3)),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_36]),c_0_37]) ).

cnf(c_0_361,negated_conjecture,
    ( esk9_0 = false
    | lazy_impl(prop(esk1_2(esk8_0,true)),impl(impl(esk8_0,impl(true,esk1_2(esk8_0,true))),esk1_2(esk8_0,true))) != and1(esk8_0,true)
    | ~ bool(lazy_impl(prop(esk1_2(esk8_0,true)),impl(impl(esk8_0,impl(true,esk1_2(esk8_0,true))),esk1_2(esk8_0,true)))) ),
    inference(spm,[status(thm)],[c_0_357,c_0_258]) ).

cnf(c_0_362,negated_conjecture,
    ( esk8_0 = false
    | ~ forallprefers(false,lazy_impl(prop(true),true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_271]),c_0_202]),c_0_55])]) ).

cnf(c_0_363,plain,
    ( impl(false,false) = true
    | ~ forallprefers(impl(false,false),lazy_impl(prop(true),true)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_348]),c_0_317]),c_0_317]),c_0_317]) ).

cnf(c_0_364,plain,
    ( impl(false,false) = true
    | ~ bool(impl(false,false)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_337]),c_0_114])]) ).

cnf(c_0_365,plain,
    ( bool(esk1_2(false,X1))
    | ~ forallprefers(lazy_impl(prop(X2),impl(true,X2)),true)
    | ~ bool(impl(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_360,c_0_299]) ).

cnf(c_0_366,negated_conjecture,
    ( esk1_2(esk8_0,true) = true
    | esk9_0 = false
    | lazy_impl(prop(esk1_2(esk8_0,true)),impl(impl(esk8_0,false),esk1_2(esk8_0,true))) != and1(esk8_0,true)
    | ~ bool(lazy_impl(prop(esk1_2(esk8_0,true)),impl(impl(esk8_0,false),esk1_2(esk8_0,true))))
    | ~ bool(esk1_2(esk8_0,true)) ),
    inference(spm,[status(thm)],[c_0_361,c_0_280]) ).

cnf(c_0_367,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_362,c_0_48]),c_0_293]),c_0_114]),c_0_49])]) ).

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_363,c_0_92]),c_0_297]),c_0_239])]),c_0_364]) ).

cnf(c_0_369,plain,
    bool(esk1_2(false,true)),
    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_365,c_0_271]),c_0_271]),c_0_202]),c_0_114]),c_0_55])]) ).

cnf(c_0_370,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(true,X1)),lazy_impl(prop(esk1_2(false,X2)),impl(impl(false,impl(X2,esk1_2(false,X2))),esk1_2(false,X2))))
    | ~ bool(impl(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_167,c_0_299]) ).

cnf(c_0_371,negated_conjecture,
    ( esk1_2(false,true) = true
    | esk9_0 = false
    | lazy_impl(prop(esk1_2(false,true)),impl(true,esk1_2(false,true))) != and1(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(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_366,c_0_367]),c_0_367]),c_0_367]),c_0_368]),c_0_367]),c_0_367]),c_0_367]),c_0_367]),c_0_368]),c_0_367]),c_0_245]),c_0_367]),c_0_369])]) ).

cnf(c_0_372,plain,
    ~ forallprefers(false,lazy_impl(prop(esk1_2(false,true)),impl(impl(false,impl(true,esk1_2(false,true))),esk1_2(false,true)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_271]),c_0_271]),c_0_202]),c_0_55])]) ).

cnf(c_0_373,plain,
    ( esk1_2(false,true) = true
    | esk1_2(false,true) = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_369]) ).

cnf(c_0_374,negated_conjecture,
    ( esk1_2(false,true) = true
    | esk9_0 = false
    | lazy_impl(true,impl(true,esk1_2(false,true))) != and1(false,true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_48]),c_0_369])]) ).

fof(c_0_375,plain,
    ! [X33] :
      ( ~ bool(X33)
      | and1(false,X33) = false ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[and1_axiom3])]) ).

cnf(c_0_376,plain,
    ( esk1_2(false,true) = false
    | ~ forallprefers(false,lazy_impl(prop(true),impl(impl(false,true),true))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_317]) ).

cnf(c_0_377,negated_conjecture,
    ( esk1_2(false,true) = true
    | esk9_0 = false
    | and1(false,true) != false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_280]),c_0_338]),c_0_369])]) ).

cnf(c_0_378,plain,
    ( and1(false,X1) = false
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_379,plain,
    ( esk1_2(false,true) = false
    | ~ forallprefers(false,lazy_impl(prop(true),true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_299]),c_0_317]),c_0_49])]) ).

cnf(c_0_380,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(impl(false,impl(X2,X1)),X1)),lazy_impl(prop(esk1_2(false,X2)),impl(true,esk1_2(false,X2))))
    | ~ bool(impl(X2,esk1_2(false,X2))) ),
    inference(spm,[status(thm)],[c_0_167,c_0_299]) ).

cnf(c_0_381,negated_conjecture,
    ( esk1_2(false,true) = true
    | esk9_0 = false ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_49])]) ).

cnf(c_0_382,plain,
    esk1_2(false,true) = false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_48]),c_0_293]),c_0_114]),c_0_49])]) ).

cnf(c_0_383,negated_conjecture,
    ( esk9_0 = false
    | ~ forallprefers(lazy_impl(prop(X1),impl(impl(false,impl(true,X1)),X1)),lazy_impl(prop(true),true)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_317]),c_0_317]),c_0_49])]) ).

cnf(c_0_384,plain,
    ~ forallprefers(lazy_impl(prop(X1),impl(impl(false,impl(true,X1)),X1)),false),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_382]),c_0_271]),c_0_368]),c_0_271]),c_0_202]) ).

cnf(c_0_385,negated_conjecture,
    ( esk9_0 = false
    | ~ forallprefers(false,lazy_impl(prop(true),true)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_271]),c_0_368]),c_0_271]),c_0_202]) ).

cnf(c_0_386,plain,
    ~ forallprefers(lazy_impl(prop(true),impl(impl(false,true),true)),false),
    inference(spm,[status(thm)],[c_0_384,c_0_317]) ).

cnf(c_0_387,negated_conjecture,
    ( lazy_impl(true,lazy_impl(true,impl(impl(false,impl(esk9_0,esk1_2(false,esk9_0))),esk1_2(false,esk9_0)))) != and1(false,esk9_0)
    | ~ bool(esk1_2(false,esk9_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_367]),c_0_367]),c_0_367]),c_0_367]),c_0_367]) ).

cnf(c_0_388,negated_conjecture,
    esk9_0 = false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_48]),c_0_293]),c_0_114]),c_0_49])]) ).

cnf(c_0_389,plain,
    bool(esk1_2(false,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_365,c_0_368]),c_0_271]),c_0_202]),c_0_114]),c_0_49])]) ).

cnf(c_0_390,plain,
    ~ forallprefers(lazy_impl(true,impl(impl(false,true),true)),false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_48]),c_0_49])]) ).

cnf(c_0_391,negated_conjecture,
    lazy_impl(true,lazy_impl(true,impl(impl(false,impl(false,esk1_2(false,false))),esk1_2(false,false)))) != and1(false,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)],[c_0_387,c_0_388]),c_0_388]),c_0_388]),c_0_388]),c_0_388]),c_0_389])]) ).

cnf(c_0_392,plain,
    bool(lazy_impl(true,impl(impl(false,true),true))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_92]),c_0_58]),c_0_55])]) ).

cnf(c_0_393,negated_conjecture,
    lazy_impl(true,lazy_impl(true,impl(impl(false,true),esk1_2(false,false)))) != and1(false,false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_299]),c_0_389])]) ).

cnf(c_0_394,plain,
    d(impl(impl(false,true),true)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_85]),c_0_158]) ).

cnf(c_0_395,plain,
    ( true = false2
    | ~ forallprefers(lazy_impl(true,X1),false2)
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_48]) ).

cnf(c_0_396,negated_conjecture,
    lazy_impl(true,lazy_impl(true,impl(true,esk1_2(false,false)))) != and1(false,false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_299]),c_0_49])]) ).

cnf(c_0_397,plain,
    ~ forallprefers(impl(impl(false,true),true),false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_39]),c_0_394])]) ).

cnf(c_0_398,plain,
    ( ~ forallprefers(lazy_impl(true,X1),false)
    | ~ bool(X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_139]),c_0_139]),c_0_144]) ).

cnf(c_0_399,negated_conjecture,
    lazy_impl(true,lazy_impl(true,esk1_2(false,false))) != and1(false,false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_236]),c_0_389])]) ).

cnf(c_0_400,plain,
    d(esk1_2(false,false)),
    inference(spm,[status(thm)],[c_0_171,c_0_389]) ).

cnf(c_0_401,plain,
    ~ forallprefers(lazy_impl(true,impl(false,true)),false),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_111]),c_0_398]) ).

cnf(c_0_402,negated_conjecture,
    lazy_impl(true,esk1_2(false,false)) != and1(false,false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_39]),c_0_400])]) ).

cnf(c_0_403,plain,
    bool(lazy_impl(true,impl(false,true))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_92]),c_0_58]),c_0_55])]) ).

cnf(c_0_404,negated_conjecture,
    and1(false,false) != esk1_2(false,false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_39]),c_0_400])]) ).

cnf(c_0_405,plain,
    d(impl(false,true)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_85]),c_0_158]) ).

cnf(c_0_406,plain,
    ( esk1_2(false,false) = true
    | esk1_2(false,false) = false ),
    inference(spm,[status(thm)],[c_0_42,c_0_389]) ).

cnf(c_0_407,negated_conjecture,
    esk1_2(false,false) != false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_378]),c_0_55])]) ).

cnf(c_0_408,plain,
    ~ forallprefers(impl(false,true),false),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_39]),c_0_405])]) ).

cnf(c_0_409,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(impl(false,true),X1)),lazy_impl(prop(esk1_2(false,false)),impl(true,esk1_2(false,false))))
    | ~ bool(impl(false,esk1_2(false,false)))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_299]) ).

cnf(c_0_410,plain,
    esk1_2(false,false) = true,
    inference(sr,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_411,plain,
    bool(impl(false,true)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_92]),c_0_58]),c_0_55])]) ).

cnf(c_0_412,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(impl(false,true),X1)),lazy_impl(prop(true),true))
    | ~ bool(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_409,c_0_410]),c_0_410]),c_0_317]),c_0_410]),c_0_411])]) ).

cnf(c_0_413,plain,
    ( ~ forallprefers(lazy_impl(prop(X1),impl(true,X1)),lazy_impl(prop(true),true))
    | ~ bool(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_299]),c_0_49])]) ).

cnf(c_0_414,plain,
    ~ forallprefers(false,lazy_impl(prop(true),true)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_271]),c_0_202]),c_0_55])]) ).

cnf(c_0_415,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_48]),c_0_293]),c_0_114]),c_0_49])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW096+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 : Sat Jun  4 19:53:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 78.39/11.29  # ENIGMATIC: Solved by autoschedule:
% 78.39/11.29  # No SInE strategy applied
% 78.39/11.29  # Trying AutoSched0 for 150 seconds
% 78.39/11.29  # AutoSched0-Mode selected heuristic G_E___042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 78.39/11.29  # and selection function SelectNewComplexAHPNS.
% 78.39/11.29  #
% 78.39/11.29  # Preprocessing time       : 0.028 s
% 78.39/11.29  # Presaturation interreduction done
% 78.39/11.29  
% 78.39/11.29  # Proof found!
% 78.39/11.29  # SZS status Theorem
% 78.39/11.29  # SZS output start CNFRefutation
% See solution above
% 78.39/11.29  # Training examples: 0 positive, 0 negative
% 78.39/11.29  
% 78.39/11.29  # -------------------------------------------------
% 78.39/11.29  # User time                : 8.823 s
% 78.39/11.29  # System time              : 0.090 s
% 78.39/11.29  # Total time               : 8.913 s
% 78.39/11.29  # Maximum resident set size: 7120 pages
% 78.39/11.29  
%------------------------------------------------------------------------------