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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SCT163+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 : Mon Jul 18 21:23:31 EDT 2022

% Result   : Theorem 0.32s 9.50s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   54 (  28 unt;   0 def)
%            Number of atoms       :  122 (  34 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  111 (  43   ~;  44   |;   9   &)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :   18 (  18 usr;   4 con; 0-5 aty)
%            Number of variables   :  115 (  22 sgn  66   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_finite__subset,axiom,
    ! [X10,X11,X9] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X11),X10))
     => ( c_Finite__Set_Ofinite(X9,X10)
       => c_Finite__Set_Ofinite(X9,X11) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__subset) ).

fof(fact_subset__UNIV,axiom,
    ! [X11,X9] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X11),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_subset__UNIV) ).

fof(fact_finite__option__UNIV,axiom,
    ! [X9] :
      ( c_Finite__Set_Ofinite(tc_Option_Ooption(X9),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X9),tc_HOL_Obool)))
    <=> c_Finite__Set_Ofinite(X9,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__option__UNIV) ).

fof(fact_finite,axiom,
    ! [X11,X9] :
      ( class_Finite__Set_Ofinite(X9)
     => c_Finite__Set_Ofinite(X9,X11) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite) ).

fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Product____Type__Ounit__Finite__Set_Ofinite) ).

fof(fact_finite__imageD,axiom,
    ! [X11,X2,X13,X9] :
      ( c_Finite__Set_Ofinite(X9,c_Set_Oimage(X13,X9,X2,X11))
     => ( c_Fun_Oinj__on(X13,X9,X2,X11)
       => c_Finite__Set_Ofinite(X13,X11) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__imageD) ).

fof(fact_Nat_Oadd__0__right,axiom,
    ! [X24] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X24),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X24,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Nat_Oadd__0__right) ).

fof(fact_inj__on__def,axiom,
    ! [X11,X2,X13,X9] :
      ( c_Fun_Oinj__on(X9,X13,X2,X11)
    <=> ! [X3] :
          ( hBOOL(hAPP(hAPP(c_member(X9),X3),X11))
         => ! [X43] :
              ( hBOOL(hAPP(hAPP(c_member(X9),X43),X11))
             => ( hAPP(X2,X3) = hAPP(X2,X43)
               => X3 = X43 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_inj__on__def) ).

fof(fact_finite__UNIV__inj__surj,axiom,
    ! [X2,X9] :
      ( c_Finite__Set_Ofinite(X9,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))
     => ( c_Fun_Oinj__on(X9,X9,X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))
       => c_Set_Oimage(X9,X9,X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__UNIV__inj__surj) ).

fof(fact_inj__Suc,axiom,
    ! [X62] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X62),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_inj__Suc) ).

fof(fact_range__ex1__eq,axiom,
    ! [X18,X2,X13,X9] :
      ( c_Fun_Oinj__on(X9,X13,X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))
     => ( hBOOL(hAPP(hAPP(c_member(X13),X18),c_Set_Oimage(X9,X13,X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))))
      <=> ? [X3] :
            ( X18 = hAPP(X2,X3)
            & ! [X84] :
                ( X18 = hAPP(X2,X84)
               => X84 = X3 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_range__ex1__eq) ).

fof(fact_UNIV__I,axiom,
    ! [X7,X9] : hBOOL(hAPP(hAPP(c_member(X9),X7),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_UNIV__I) ).

fof(fact_Zero__neq__Suc,axiom,
    ! [X24] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X24),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Zero__neq__Suc) ).

fof(fact_nat_Osize_I1_J,axiom,
    c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_nat_Osize_I1_J) ).

fof(c_0_14,plain,
    ! [X12,X13,X14] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13),X12))
      | ~ c_Finite__Set_Ofinite(X14,X12)
      | c_Finite__Set_Ofinite(X14,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__subset])]) ).

fof(c_0_15,plain,
    ! [X12,X13] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X12),c_Orderings_Otop__class_Otop(tc_fun(X13,tc_HOL_Obool)))),
    inference(variable_rename,[status(thm)],[fact_subset__UNIV]) ).

cnf(c_0_16,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X10,X10] :
      ( ( ~ c_Finite__Set_Ofinite(tc_Option_Ooption(X10),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X10),tc_HOL_Obool)))
        | c_Finite__Set_Ofinite(X10,c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool))) )
      & ( ~ c_Finite__Set_Ofinite(X10,c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool)))
        | c_Finite__Set_Ofinite(tc_Option_Ooption(X10),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X10),tc_HOL_Obool))) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__option__UNIV])])])]) ).

fof(c_0_19,plain,
    ! [X12,X13] :
      ( ~ class_Finite__Set_Ofinite(X13)
      | c_Finite__Set_Ofinite(X13,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite])]) ).

cnf(c_0_20,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    ( c_Finite__Set_Ofinite(tc_Option_Ooption(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool)))
    | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    inference(split_conjunct,[status(thm)],[arity_Product____Type__Ounit__Finite__Set_Ofinite]) ).

cnf(c_0_24,plain,
    ( c_Finite__Set_Ofinite(tc_Option_Ooption(X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_26,plain,
    ! [X14,X15,X16,X17] :
      ( ~ c_Finite__Set_Ofinite(X17,c_Set_Oimage(X16,X17,X15,X14))
      | ~ c_Fun_Oinj__on(X16,X17,X15,X14)
      | c_Finite__Set_Ofinite(X16,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageD])]) ).

cnf(c_0_27,plain,
    c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Product__Type_Ounit),X1),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_28,plain,
    ! [X25] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X25,
    inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).

fof(c_0_29,plain,
    ! [X44,X45,X46,X47,X48,X49,X44,X45,X46,X47] :
      ( ( ~ c_Fun_Oinj__on(X47,X46,X45,X44)
        | ~ hBOOL(hAPP(hAPP(c_member(X47),X48),X44))
        | ~ hBOOL(hAPP(hAPP(c_member(X47),X49),X44))
        | hAPP(X45,X48) != hAPP(X45,X49)
        | X48 = X49 )
      & ( hBOOL(hAPP(hAPP(c_member(X47),esk5_4(X44,X45,X46,X47)),X44))
        | c_Fun_Oinj__on(X47,X46,X45,X44) )
      & ( hBOOL(hAPP(hAPP(c_member(X47),esk6_4(X44,X45,X46,X47)),X44))
        | c_Fun_Oinj__on(X47,X46,X45,X44) )
      & ( hAPP(X45,esk5_4(X44,X45,X46,X47)) = hAPP(X45,esk6_4(X44,X45,X46,X47))
        | c_Fun_Oinj__on(X47,X46,X45,X44) )
      & ( esk5_4(X44,X45,X46,X47) != esk6_4(X44,X45,X46,X47)
        | c_Fun_Oinj__on(X47,X46,X45,X44) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inj__on__def])])])])])])]) ).

fof(c_0_30,plain,
    ! [X10,X11] :
      ( ~ c_Finite__Set_Ofinite(X11,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)))
      | ~ c_Fun_Oinj__on(X11,X11,X10,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)))
      | c_Set_Oimage(X11,X11,X10,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__UNIV__inj__surj])]) ).

fof(c_0_31,plain,
    ! [X63] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X63),
    inference(variable_rename,[status(thm)],[fact_inj__Suc]) ).

cnf(c_0_32,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X2)
    | ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X1,X3,X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Option_Ooption(tc_Product__Type_Ounit)),X1),
    inference(spm,[status(thm)],[c_0_24,c_0_27]) ).

cnf(c_0_34,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X3,esk5_4(X4,X3,X2,X1)) = hAPP(X3,esk6_4(X4,X3,X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | esk5_4(X4,X3,X2,X1) != esk6_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( c_Set_Oimage(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
    | ~ c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
    | ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X1,tc_Option_Ooption(tc_Option_Ooption(tc_Product__Type_Ounit)),X3,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,plain,
    c_Fun_Oinj__on(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_34]),c_0_36]) ).

fof(c_0_41,plain,
    ! [X85,X86,X87,X88,X90,X91] :
      ( ( X85 = hAPP(X86,esk44_4(X85,X86,X87,X88))
        | ~ hBOOL(hAPP(hAPP(c_member(X87),X85),c_Set_Oimage(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool)))))
        | ~ c_Fun_Oinj__on(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool))) )
      & ( X85 != hAPP(X86,X90)
        | X90 = esk44_4(X85,X86,X87,X88)
        | ~ hBOOL(hAPP(hAPP(c_member(X87),X85),c_Set_Oimage(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool)))))
        | ~ c_Fun_Oinj__on(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool))) )
      & ( X85 = hAPP(X86,esk45_5(X85,X86,X87,X88,X91))
        | X85 != hAPP(X86,X91)
        | hBOOL(hAPP(hAPP(c_member(X87),X85),c_Set_Oimage(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool)))))
        | ~ c_Fun_Oinj__on(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool))) )
      & ( esk45_5(X85,X86,X87,X88,X91) != X91
        | X85 != hAPP(X86,X91)
        | hBOOL(hAPP(hAPP(c_member(X87),X85),c_Set_Oimage(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool)))))
        | ~ c_Fun_Oinj__on(X88,X87,X86,c_Orderings_Otop__class_Otop(tc_fun(X88,tc_HOL_Obool))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_range__ex1__eq])])])])])])]) ).

cnf(c_0_42,plain,
    ( c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
    | ~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    c_Finite__Set_Ofinite(X1,X2),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_44,plain,
    ! [X10,X11] : hBOOL(hAPP(hAPP(c_member(X11),X10),c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)))),
    inference(variable_rename,[status(thm)],[fact_UNIV__I]) ).

fof(c_0_45,plain,
    ! [X25] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X25),
    inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).

cnf(c_0_46,plain,
    ( X4 = hAPP(X3,esk44_4(X4,X3,X2,X1))
    | ~ c_Fun_Oinj__on(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
    | ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Set_Oimage(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_47,plain,
    c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).

cnf(c_0_48,plain,
    hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_50,plain,
    hAPP(c_Nat_OSuc,esk44_4(X1,c_Nat_OSuc,tc_Nat_Onat,tc_Nat_Onat)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_38]),c_0_48])]) ).

cnf(c_0_51,plain,
    c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[fact_nat_Osize_I1_J]) ).

cnf(c_0_52,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,plain,
    $false,
    inference(sr,[status(thm)],[c_0_51,c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SCT163+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n018.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 Jul  2 09:02:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.32/9.50  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.32/9.50  # Preprocessing time       : 0.267 s
% 0.32/9.50  
% 0.32/9.50  # Proof found!
% 0.32/9.50  # SZS status Theorem
% 0.32/9.50  # SZS output start CNFRefutation
% See solution above
% 0.32/9.50  # Proof object total steps             : 54
% 0.32/9.50  # Proof object clause steps            : 28
% 0.32/9.50  # Proof object formula steps           : 26
% 0.32/9.50  # Proof object conjectures             : 0
% 0.32/9.50  # Proof object clause conjectures      : 0
% 0.32/9.50  # Proof object formula conjectures     : 0
% 0.32/9.50  # Proof object initial clauses used    : 15
% 0.32/9.50  # Proof object initial formulas used   : 14
% 0.32/9.50  # Proof object generating inferences   : 11
% 0.32/9.50  # Proof object simplifying inferences  : 8
% 0.32/9.50  # Training examples: 0 positive, 0 negative
% 0.32/9.50  # Parsed axioms                        : 533
% 0.32/9.50  # Removed by relevancy pruning/SinE    : 0
% 0.32/9.50  # Initial clauses                      : 804
% 0.32/9.50  # Removed in clause preprocessing      : 53
% 0.32/9.50  # Initial clauses in saturation        : 751
% 0.32/9.50  # Processed clauses                    : 12347
% 0.32/9.50  # ...of these trivial                  : 191
% 0.32/9.50  # ...subsumed                          : 8529
% 0.32/9.50  # ...remaining for further processing  : 3627
% 0.32/9.50  # Other redundant clauses eliminated   : 1001
% 0.32/9.50  # Clauses deleted for lack of memory   : 127459
% 0.32/9.50  # Backward-subsumed                    : 261
% 0.32/9.50  # Backward-rewritten                   : 206
% 0.32/9.50  # Generated clauses                    : 333745
% 0.32/9.50  # ...of the previous two non-trivial   : 324336
% 0.32/9.50  # Contextual simplify-reflections      : 5600
% 0.32/9.50  # Paramodulations                      : 332527
% 0.32/9.50  # Factorizations                       : 42
% 0.32/9.50  # Equation resolutions                 : 1160
% 0.32/9.50  # Current number of processed clauses  : 3074
% 0.32/9.50  #    Positive orientable unit clauses  : 202
% 0.32/9.50  #    Positive unorientable unit clauses: 35
% 0.32/9.50  #    Negative unit clauses             : 186
% 0.32/9.50  #    Non-unit-clauses                  : 2651
% 0.32/9.50  # Current number of unprocessed clauses: 65962
% 0.32/9.50  # ...number of literals in the above   : 236771
% 0.32/9.50  # Current number of archived formulas  : 0
% 0.32/9.50  # Current number of archived clauses   : 489
% 0.32/9.50  # Clause-clause subsumption calls (NU) : 2283830
% 0.32/9.50  # Rec. Clause-clause subsumption calls : 528697
% 0.32/9.50  # Non-unit clause-clause subsumptions  : 10363
% 0.32/9.50  # Unit Clause-clause subsumption calls : 44654
% 0.32/9.50  # Rewrite failures with RHS unbound    : 377
% 0.32/9.50  # BW rewrite match attempts            : 12821
% 0.32/9.50  # BW rewrite match successes           : 392
% 0.32/9.50  # Condensation attempts                : 0
% 0.32/9.50  # Condensation successes               : 0
% 0.32/9.50  # Termbank termtop insertions          : 9894281
% 0.32/9.50  
% 0.32/9.50  # -------------------------------------------------
% 0.32/9.50  # User time                : 8.251 s
% 0.32/9.50  # System time              : 0.106 s
% 0.32/9.50  # Total time               : 8.357 s
% 0.32/9.50  # Maximum resident set size: 143520 pages
% 0.32/23.45  eprover: CPU time limit exceeded, terminating
% 0.32/23.45  eprover: CPU time limit exceeded, terminating
% 0.32/23.45  eprover: CPU time limit exceeded, terminating
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.50  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.50  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.50  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.50  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.50  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.50  eprover: No such file or directory
% 0.32/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.51  eprover: No such file or directory
% 0.32/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.51  eprover: No such file or directory
% 0.32/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.51  eprover: No such file or directory
% 0.32/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.51  eprover: No such file or directory
% 0.32/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.51  eprover: No such file or directory
% 0.32/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.52  eprover: No such file or directory
% 0.32/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.52  eprover: No such file or directory
% 0.32/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.52  eprover: No such file or directory
% 0.32/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.52  eprover: No such file or directory
% 0.32/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.52  eprover: No such file or directory
% 0.32/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.53  eprover: No such file or directory
%------------------------------------------------------------------------------