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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ITP013+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 : Sat Jul 16 22:45:55 EDT 2022

% Result   : Theorem 0.26s 1.43s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  14 unt;   0 def)
%            Number of atoms       :   34 (  26 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   6   ~;   3   |;   5   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :   51 (   2 sgn  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Ewords_2En2w__sub,conjecture,
    ! [X1,X35,X36] :
      ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X36),s(tyop_2Enum_2Enum,X35))))
     => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X35),s(tyop_2Enum_2Enum,X36))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X35))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X36))))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Ewords_2En2w__sub) ).

fof(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
    ! [X1,X2] :
      ( ! [X31,X32] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X31))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X32))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X31),s(tyop_2Enum_2Enum,X32)))))))
      & ! [X33,X34] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X33))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X34))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X34),s(tyop_2Enum_2Enum,X33))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X33),s(tyop_2Enum_2Enum,X34))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X34),s(tyop_2Enum_2Enum,X33))))))))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).

fof(thm_2Ewords_2Eword__sub__def,axiom,
    ! [X1,X29,X30] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X29),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X30))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X29),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X30))))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).

fof(reserved_2Eho_2Ebool__cases__ax,axiom,
    ! [X8] :
      ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).

fof(reserved_2Eho_2Enotfalse,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reserved_2Eho_2Enotfalse) ).

fof(thm_2Ebool_2Ebool__case__thm,axiom,
    ! [X1] :
      ( ! [X16,X17] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X16),s(X1,X17))) = s(X1,X16)
      & ! [X27,X28] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X27),s(X1,X28))) = s(X1,X28) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1,X35,X36] :
        ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X36),s(tyop_2Enum_2Enum,X35))))
       => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X35),s(tyop_2Enum_2Enum,X36))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X35))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X36))))) ),
    inference(assume_negation,[status(cth)],[thm_2Ewords_2En2w__sub]) ).

fof(c_0_7,plain,
    ! [X35,X37,X38,X36,X39,X40] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X35),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X35),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X35),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X37))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X35),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X35),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X38))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X35),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X35),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X37),s(tyop_2Enum_2Enum,X38)))))))
      & s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X39))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X40))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X40),s(tyop_2Enum_2Enum,X39))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X39),s(tyop_2Enum_2Enum,X40))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X40),s(tyop_2Enum_2Enum,X39))))))))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ewords_2EWORD__LITERAL__ADD])])])]) ).

fof(c_0_8,plain,
    ! [X31,X32,X33] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X31),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X31),X32),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X31),X33))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X31),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X31),X32),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X31),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X31),X33))))),
    inference(variable_rename,[status(thm)],[thm_2Ewords_2Eword__sub__def]) ).

fof(c_0_9,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk6_0),s(tyop_2Enum_2Enum,esk5_0))))
    & s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk5_0),s(tyop_2Enum_2Enum,esk6_0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk5_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk6_0))))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_10,plain,
    ! [X9] :
      ( s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).

fof(c_0_11,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).

cnf(c_0_12,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))))))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))))),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk6_0),s(tyop_2Enum_2Enum,esk5_0)))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_17,plain,
    ! [X29,X30,X31,X29,X32,X33] :
      ( s(X29,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X29,X30),s(X29,X31))) = s(X29,X30)
      & s(X29,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X29,X32),s(X29,X33))) = s(X29,X33) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ebool_2Ebool__case__thm])])])]) ).

cnf(c_0_18,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk6_0),s(tyop_2Enum_2Enum,esk5_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_20,plain,
    s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk5_0),s(tyop_2Enum_2Enum,esk6_0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk5_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk6_0))))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_22,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk5_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk6_0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk5_0),s(tyop_2Enum_2Enum,esk6_0))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : ITP013+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.08/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun  3 12:52:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.26/1.43  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.26/1.43  # Preprocessing time       : 0.033 s
% 0.26/1.43  
% 0.26/1.43  # Proof found!
% 0.26/1.43  # SZS status Theorem
% 0.26/1.43  # SZS output start CNFRefutation
% See solution above
% 0.26/1.43  # Proof object total steps             : 24
% 0.26/1.43  # Proof object clause steps            : 11
% 0.26/1.43  # Proof object formula steps           : 13
% 0.26/1.43  # Proof object conjectures             : 8
% 0.26/1.43  # Proof object clause conjectures      : 5
% 0.26/1.43  # Proof object formula conjectures     : 3
% 0.26/1.43  # Proof object initial clauses used    : 7
% 0.26/1.43  # Proof object initial formulas used   : 6
% 0.26/1.43  # Proof object generating inferences   : 2
% 0.26/1.43  # Proof object simplifying inferences  : 5
% 0.26/1.43  # Training examples: 0 positive, 0 negative
% 0.26/1.43  # Parsed axioms                        : 46
% 0.26/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.26/1.43  # Initial clauses                      : 104
% 0.26/1.43  # Removed in clause preprocessing      : 25
% 0.26/1.43  # Initial clauses in saturation        : 79
% 0.26/1.43  # Processed clauses                    : 1156
% 0.26/1.43  # ...of these trivial                  : 12
% 0.26/1.43  # ...subsumed                          : 955
% 0.26/1.43  # ...remaining for further processing  : 189
% 0.26/1.43  # Other redundant clauses eliminated   : 0
% 0.26/1.43  # Clauses deleted for lack of memory   : 0
% 0.26/1.43  # Backward-subsumed                    : 4
% 0.26/1.43  # Backward-rewritten                   : 33
% 0.26/1.43  # Generated clauses                    : 16593
% 0.26/1.43  # ...of the previous two non-trivial   : 13651
% 0.26/1.43  # Contextual simplify-reflections      : 195
% 0.26/1.43  # Paramodulations                      : 16529
% 0.26/1.43  # Factorizations                       : 56
% 0.26/1.43  # Equation resolutions                 : 7
% 0.26/1.43  # Current number of processed clauses  : 151
% 0.26/1.43  #    Positive orientable unit clauses  : 30
% 0.26/1.43  #    Positive unorientable unit clauses: 1
% 0.26/1.43  #    Negative unit clauses             : 13
% 0.26/1.43  #    Non-unit-clauses                  : 107
% 0.26/1.43  # Current number of unprocessed clauses: 11714
% 0.26/1.43  # ...number of literals in the above   : 43286
% 0.26/1.43  # Current number of archived formulas  : 0
% 0.26/1.43  # Current number of archived clauses   : 38
% 0.26/1.43  # Clause-clause subsumption calls (NU) : 13708
% 0.26/1.43  # Rec. Clause-clause subsumption calls : 7540
% 0.26/1.43  # Non-unit clause-clause subsumptions  : 485
% 0.26/1.43  # Unit Clause-clause subsumption calls : 518
% 0.26/1.43  # Rewrite failures with RHS unbound    : 0
% 0.26/1.43  # BW rewrite match attempts            : 283
% 0.26/1.43  # BW rewrite match successes           : 15
% 0.26/1.43  # Condensation attempts                : 0
% 0.26/1.43  # Condensation successes               : 0
% 0.26/1.43  # Termbank termtop insertions          : 374657
% 0.26/1.43  
% 0.26/1.43  # -------------------------------------------------
% 0.26/1.43  # User time                : 0.274 s
% 0.26/1.43  # System time              : 0.009 s
% 0.26/1.43  # Total time               : 0.283 s
% 0.26/1.43  # Maximum resident set size: 13224 pages
% 0.26/23.42  eprover: CPU time limit exceeded, terminating
% 0.26/23.42  eprover: CPU time limit exceeded, terminating
% 0.26/23.42  eprover: CPU time limit exceeded, terminating
% 0.26/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43  eprover: No such file or directory
% 0.26/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43  eprover: eprover: No such file or directory
% 0.26/23.43  Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------