TSTP Solution File: SWW308+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWW308+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 06:45:16 EDT 2024

% Result   : ContradictoryAxioms 20.34s 3.91s
% Output   : CNFRefutation 20.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   66 (  53 unt;   0 def)
%            Number of atoms       :   87 (  45 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   46 (  25   ~;  14   |;   2   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;   6 con; 0-3 aty)
%            Number of variables   :  108 (  12 sgn  60   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_Collect__mem__eq,axiom,
    ! [X19,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),c_member(X5)),X19)) = X19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__mem__eq) ).

fof(fact_Collect__def,axiom,
    ! [X24,X5] : hAPP(c_Set_OCollect(X5),X24) = X24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).

fof(fact_less__not__refl,axiom,
    ! [X118] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X118),X118)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__not__refl) ).

fof(help_c__COMBC__1,axiom,
    ! [X33,X23,X24,X5,X51,X17] : hAPP(hAPP(hAPP(c_COMBC(X17,X51,X5),X24),X23),X33) = hAPP(hAPP(X24,X33),X23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBC__1) ).

fof(fact_number__of__is__id,axiom,
    ! [X120] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X120) = X120,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id) ).

fof(fact_nat__number__of__def,axiom,
    ! [X168] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X168) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X168)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__number__of__def) ).

fof(fact_less__eq__Suc__le__raw,axiom,
    ! [X117] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X117) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X117)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__Suc__le__raw) ).

fof(fact_finite__nat__set__iff__bounded__le,axiom,
    ! [X139] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X139))
    <=> ? [X140] :
        ! [X3] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X139))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X140)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__nat__set__iff__bounded__le) ).

fof(fact_one__is__num__one,axiom,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__is__num__one) ).

fof(fact_card__infinite,axiom,
    ! [X19,X5] :
      ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X19))
     => hAPP(c_Finite__Set_Ocard(X5),X19) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_card__infinite) ).

fof(fact_Zero__neq__Suc,axiom,
    ! [X119] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X119),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Zero__neq__Suc) ).

fof(fact_rangeI,axiom,
    ! [X17,X16,X2,X5] : hBOOL(hAPP(hAPP(c_member(X5),hAPP(X2,X16)),hAPP(c_Set_Oimage(X17,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X17,tc_HOL_Obool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rangeI) ).

fof(fact_card__UNIV__bool,axiom,
    hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_card__UNIV__bool) ).

fof(fact_transfer__nat__int__numerals_I1_J,axiom,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_transfer__nat__int__numerals_I1_J) ).

fof(fact_Pls__def,axiom,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Pls__def) ).

fof(fact_semiring__norm_I115_J,axiom,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_semiring__norm_I115_J) ).

fof(fact_finite__imageI,axiom,
    ! [X59,X17,X136,X5] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X136))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X17),hAPP(c_Set_Oimage(X5,X17,X59),X136))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__imageI) ).

fof(c_0_17,plain,
    ! [X1612,X1613] : hAPP(c_Set_OCollect(X1613),hAPP(hAPP(c_COMBC(X1613,tc_fun(X1613,tc_HOL_Obool),tc_HOL_Obool),c_member(X1613)),X1612)) = X1612,
    inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).

fof(c_0_18,plain,
    ! [X1582,X1583] : hAPP(c_Set_OCollect(X1583),X1582) = X1582,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

fof(c_0_19,plain,
    ! [X118] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X118),X118)),
    inference(fof_simplification,[status(thm)],[fact_less__not__refl]) ).

fof(c_0_20,plain,
    ! [X643,X644,X645,X646,X647,X648] : hAPP(hAPP(hAPP(c_COMBC(X648,X647,X646),X645),X644),X643) = hAPP(hAPP(X645,X643),X644),
    inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).

cnf(c_0_21,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_23,plain,
    ! [X3934] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3934) = X3934,
    inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).

fof(c_0_24,plain,
    ! [X3582] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X3582) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3582)),
    inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).

fof(c_0_25,plain,
    ! [X1326] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1326),X1326)),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).

fof(c_0_26,plain,
    ! [X2921] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2921) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2921)),
    inference(variable_rename,[status(thm)],[fact_less__eq__Suc__le__raw]) ).

fof(c_0_27,plain,
    ! [X1497,X1499,X1500,X1501] :
      ( ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1497))
        | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1499),X1497))
        | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1499),esk33_1(X1497))) )
      & ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk34_2(X1500,X1501)),X1500))
        | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1500)) )
      & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk34_2(X1500,X1501)),X1501))
        | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1500)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__nat__set__iff__bounded__le])])])])])])]) ).

cnf(c_0_28,plain,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_30,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),
    inference(split_conjunct,[status(thm)],[fact_one__is__num__one]) ).

cnf(c_0_31,plain,
    hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,plain,
    hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_33,plain,
    ! [X19,X5] :
      ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X19))
     => hAPP(c_Finite__Set_Ocard(X5),X19) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(fof_simplification,[status(thm)],[fact_card__infinite]) ).

fof(c_0_34,plain,
    ! [X119] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X119),
    inference(fof_simplification,[status(thm)],[fact_Zero__neq__Suc]) ).

cnf(c_0_35,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),esk33_1(X1)))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,plain,
    hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_39,plain,
    ! [X1958,X1959,X1960,X1961] : hBOOL(hAPP(hAPP(c_member(X1961),hAPP(X1960,X1959)),hAPP(c_Set_Oimage(X1958,X1961,X1960),c_Orderings_Otop__class_Otop(tc_fun(X1958,tc_HOL_Obool))))),
    inference(variable_rename,[status(thm)],[fact_rangeI]) ).

cnf(c_0_40,plain,
    hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    inference(split_conjunct,[status(thm)],[fact_card__UNIV__bool]) ).

cnf(c_0_41,plain,
    c_Int_OBit1(c_Int_OPls) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_42,plain,
    hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,X1),
    inference(rw,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_43,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J]) ).

cnf(c_0_44,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).

fof(c_0_45,plain,
    ! [X3072,X3073] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X3073),X3072))
      | hAPP(c_Finite__Set_Ocard(X3073),X3072) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).

fof(c_0_46,plain,
    ! [X2926] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2926),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).

cnf(c_0_47,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X1)),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_48,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk33_1(X2)))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_49,plain,
    hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_50,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
    inference(split_conjunct,[status(thm)],[fact_semiring__norm_I115_J]) ).

cnf(c_0_51,plain,
    hAPP(c_Int_Onat,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))) = hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_52,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
    inference(rw,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_53,plain,
    ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
    | hAPP(c_Finite__Set_Ocard(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_54,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_55,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk33_1(X1))))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_56,plain,
    hBOOL(hAPP(hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(X3,X4))),
    inference(rw,[status(thm)],[c_0_49,c_0_38]) ).

fof(c_0_57,plain,
    ! [X1983,X1984,X1985,X1986] :
      ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1986),X1985))
      | hBOOL(hAPP(c_Finite__Set_Ofinite(X1984),hAPP(c_Set_Oimage(X1986,X1984,X1983),X1985))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])])]) ).

cnf(c_0_58,plain,
    hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_41]),c_0_42]),c_0_51]),c_0_52]) ).

cnf(c_0_59,plain,
    ( hAPP(c_Finite__Set_Ocard(X1),X2) = hAPP(c_Int_Onat,c_Int_OPls)
    | hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
    inference(rw,[status(thm)],[c_0_53,c_0_52]) ).

cnf(c_0_60,plain,
    hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
    inference(rw,[status(thm)],[c_0_54,c_0_52]) ).

cnf(c_0_61,plain,
    ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(X1,X2,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_62,plain,
    ( hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2)))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_63,plain,
    hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_64,plain,
    ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,plain,
    $false,
    inference(sr,[status(thm)],[c_0_63,c_0_64]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW308+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 19:25:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order model finding
% 0.22/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.34/3.91  # Version: 3.1.0
% 20.34/3.91  # Preprocessing class: FMLMSMSMSSSNFFN.
% 20.34/3.91  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.34/3.91  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.34/3.91  # Starting new_bool_3 with 300s (1) cores
% 20.34/3.91  # Starting new_bool_1 with 300s (1) cores
% 20.34/3.91  # Starting sh5l with 300s (1) cores
% 20.34/3.91  # new_bool_3 with pid 5240 completed with status 0
% 20.34/3.91  # Result found by new_bool_3
% 20.34/3.91  # Preprocessing class: FMLMSMSMSSSNFFN.
% 20.34/3.91  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.34/3.91  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.34/3.91  # Starting new_bool_3 with 300s (1) cores
% 20.34/3.91  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.34/3.91  # Search class: FGHSM-SMLM33-DFFFFFNN
% 20.34/3.91  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 20.34/3.91  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 20.34/3.91  # SAT001_MinMin_p005000_rr with pid 5243 completed with status 0
% 20.34/3.91  # Result found by SAT001_MinMin_p005000_rr
% 20.34/3.91  # Preprocessing class: FMLMSMSMSSSNFFN.
% 20.34/3.91  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.34/3.91  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.34/3.91  # Starting new_bool_3 with 300s (1) cores
% 20.34/3.91  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.34/3.91  # Search class: FGHSM-SMLM33-DFFFFFNN
% 20.34/3.91  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 20.34/3.91  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 20.34/3.91  # Preprocessing time       : 0.050 s
% 20.34/3.91  # Presaturation interreduction done
% 20.34/3.91  
% 20.34/3.91  # Proof found!
% 20.34/3.91  # SZS status ContradictoryAxioms
% 20.34/3.91  # SZS output start CNFRefutation
% See solution above
% 20.34/3.91  # Parsed axioms                        : 5228
% 20.34/3.91  # Removed by relevancy pruning/SinE    : 3189
% 20.34/3.91  # Initial clauses                      : 3161
% 20.34/3.91  # Removed in clause preprocessing      : 86
% 20.34/3.91  # Initial clauses in saturation        : 3075
% 20.34/3.91  # Processed clauses                    : 12098
% 20.34/3.91  # ...of these trivial                  : 499
% 20.34/3.91  # ...subsumed                          : 5577
% 20.34/3.91  # ...remaining for further processing  : 6022
% 20.34/3.91  # Other redundant clauses eliminated   : 669
% 20.34/3.91  # Clauses deleted for lack of memory   : 0
% 20.34/3.91  # Backward-subsumed                    : 192
% 20.34/3.91  # Backward-rewritten                   : 557
% 20.34/3.91  # Generated clauses                    : 102740
% 20.34/3.91  # ...of the previous two non-redundant : 97616
% 20.34/3.91  # ...aggressively subsumed             : 0
% 20.34/3.91  # Contextual simplify-reflections      : 18
% 20.34/3.91  # Paramodulations                      : 102050
% 20.34/3.91  # Factorizations                       : 12
% 20.34/3.91  # NegExts                              : 0
% 20.34/3.91  # Equation resolutions                 : 714
% 20.34/3.91  # Disequality decompositions           : 0
% 20.34/3.91  # Total rewrite steps                  : 26733
% 20.34/3.91  # ...of those cached                   : 19636
% 20.34/3.91  # Propositional unsat checks           : 1
% 20.34/3.91  #    Propositional check models        : 0
% 20.34/3.91  #    Propositional check unsatisfiable : 0
% 20.34/3.91  #    Propositional clauses             : 0
% 20.34/3.91  #    Propositional clauses after purity: 0
% 20.34/3.91  #    Propositional unsat core size     : 0
% 20.34/3.91  #    Propositional preprocessing time  : 0.000
% 20.34/3.91  #    Propositional encoding time       : 0.117
% 20.34/3.91  #    Propositional solver time         : 0.044
% 20.34/3.91  #    Success case prop preproc time    : 0.000
% 20.34/3.91  #    Success case prop encoding time   : 0.000
% 20.34/3.91  #    Success case prop solver time     : 0.000
% 20.34/3.91  # Current number of processed clauses  : 2704
% 20.34/3.91  #    Positive orientable unit clauses  : 732
% 20.34/3.91  #    Positive unorientable unit clauses: 60
% 20.34/3.91  #    Negative unit clauses             : 506
% 20.34/3.91  #    Non-unit-clauses                  : 1406
% 20.34/3.91  # Current number of unprocessed clauses: 74510
% 20.34/3.91  # ...number of literals in the above   : 160750
% 20.34/3.91  # Current number of archived formulas  : 0
% 20.34/3.91  # Current number of archived clauses   : 3077
% 20.34/3.91  # Clause-clause subsumption calls (NU) : 1042618
% 20.34/3.91  # Rec. Clause-clause subsumption calls : 531462
% 20.34/3.91  # Non-unit clause-clause subsumptions  : 2848
% 20.34/3.91  # Unit Clause-clause subsumption calls : 46350
% 20.34/3.91  # Rewrite failures with RHS unbound    : 722
% 20.34/3.91  # BW rewrite match attempts            : 13668
% 20.34/3.91  # BW rewrite match successes           : 1173
% 20.34/3.91  # Condensation attempts                : 0
% 20.34/3.91  # Condensation successes               : 0
% 20.34/3.91  # Termbank termtop insertions          : 3197688
% 20.34/3.91  # Search garbage collected termcells   : 71169
% 20.34/3.91  
% 20.34/3.91  # -------------------------------------------------
% 20.34/3.91  # User time                : 2.982 s
% 20.34/3.91  # System time              : 0.097 s
% 20.34/3.91  # Total time               : 3.079 s
% 20.34/3.91  # Maximum resident set size: 18412 pages
% 20.34/3.91  
% 20.34/3.91  # -------------------------------------------------
% 20.34/3.91  # User time                : 3.210 s
% 20.34/3.91  # System time              : 0.106 s
% 20.34/3.91  # Total time               : 3.317 s
% 20.34/3.91  # Maximum resident set size: 9432 pages
% 20.34/3.91  % E---3.1 exiting
%------------------------------------------------------------------------------