TSTP Solution File: SWW389+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW389+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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 00:10:43 EDT 2022

% Result   : Theorem 0.98s 8.16s
% Output   : CNFRefutation 0.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   47 (  24 unt;   0 def)
%            Number of atoms       :   83 (  30 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   68 (  32   ~;  24   |;   5   &)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   8 con; 0-5 aty)
%            Number of variables   :  138 (  47 sgn  68   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_insert__code,axiom,
    ! [X16,X19,X30,X5] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X5),X30),X19),X16))
    <=> ( X30 = X16
        | hBOOL(hAPP(X19,X16)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_insert__code) ).

fof(fact_insert__absorb,axiom,
    ! [X19,X6,X5] :
      ( hBOOL(hAPP(hAPP(c_member(X5),X6),X19))
     => hAPP(hAPP(c_Set_Oinsert(X5),X6),X19) = X19 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_insert__absorb) ).

fof(fact_ex__in__conv,axiom,
    ! [X19,X5] :
      ( ? [X3] : hBOOL(hAPP(hAPP(c_member(X5),X3),X19))
    <=> X19 != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_ex__in__conv) ).

fof(fact_ext,axiom,
    ! [X1,X2] :
      ( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
     => X2 = X1 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_ext) ).

fof(help_c__COMBK__1,axiom,
    ! [X315,X314,X5,X62] : hAPP(hAPP(c_COMBK(X62,X5),X314),X315) = X314,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_c__COMBK__1) ).

fof(fact_bot2E,axiom,
    ! [X30,X16,X17,X5] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_fun(X17,tc_HOL_Obool))),X16),X30)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_bot2E) ).

fof(conj_0,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(help_c__fFalse__1,axiom,
    ~ hBOOL(c_fFalse),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_c__fFalse__1) ).

fof(fact_bot__empty__eq,axiom,
    ! [X16,X5] :
      ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X16))
    <=> hBOOL(hAPP(hAPP(c_member(X5),X16),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_bot__empty__eq) ).

fof(fact_emptyE,axiom,
    ! [X6,X5] : ~ hBOOL(hAPP(hAPP(c_member(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_emptyE) ).

fof(fact_escape,axiom,
    ! [X23,X21,X4,X5,X24] :
      ( ! [X25,X26] :
          ( hBOOL(hAPP(hAPP(X24,X25),X26))
         => c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X5),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X26))),X21),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X5),hAPP(X23,X25)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) )
     => c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X24),X21),X23)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_escape) ).

fof(c_0_11,plain,
    ! [X31,X32,X33,X34,X31,X32,X33,X34] :
      ( ( ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X34),X33),X32),X31))
        | X33 = X31
        | hBOOL(hAPP(X32,X31)) )
      & ( X33 != X31
        | hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X34),X33),X32),X31)) )
      & ( ~ hBOOL(hAPP(X32,X31))
        | hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X34),X33),X32),X31)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__code])])])])]) ).

fof(c_0_12,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP(hAPP(c_member(X22),X21),X20))
      | hAPP(hAPP(c_Set_Oinsert(X22),X21),X20) = X20 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])]) ).

fof(c_0_13,plain,
    ! [X20,X21,X22,X20,X21] :
      ( ( ~ hBOOL(hAPP(hAPP(c_member(X21),X22),X20))
        | X20 != c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool)) )
      & ( X20 = c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool))
        | hBOOL(hAPP(hAPP(c_member(X21),esk10_2(X20,X21)),X20)) ) ),
    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_ex__in__conv])])])])])]) ).

cnf(c_0_14,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),esk10_2(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,plain,
    ! [X4,X5] :
      ( hAPP(X5,esk8_2(X4,X5)) != hAPP(X4,esk8_2(X4,X5))
      | X5 = X4 ),
    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_ext])])])])]) ).

fof(c_0_18,plain,
    ! [X316,X317,X318,X319] : hAPP(hAPP(c_COMBK(X319,X318),X317),X316) = X317,
    inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).

fof(c_0_19,plain,
    ! [X31,X32,X33,X34] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X34,tc_fun(X33,tc_HOL_Obool))),X32),X31)),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_bot2E])]) ).

cnf(c_0_20,plain,
    hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( hAPP(hAPP(c_Set_Oinsert(X1),esk10_2(X2,X1)),X2) = X2
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

fof(c_0_22,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

cnf(c_0_23,plain,
    ( X1 = X2
    | hAPP(X1,esk8_2(X2,X1)) != hAPP(X2,esk8_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | hBOOL(hAPP(X1,esk10_2(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_27,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_28,plain,
    ~ hBOOL(c_fFalse),
    inference(fof_simplification,[status(thm)],[help_c__fFalse__1]) ).

cnf(c_0_29,plain,
    ( X1 = hAPP(c_COMBK(X2,X3),X4)
    | hAPP(X1,esk8_2(hAPP(c_COMBK(X2,X3),X4),X1)) != X4 ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,plain,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool)),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_31,plain,
    ! [X17,X18,X17,X18] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)),X17))
        | hBOOL(hAPP(hAPP(c_member(X18),X17),c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)))) )
      & ( ~ hBOOL(hAPP(hAPP(c_member(X18),X17),c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool))))
        | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)),X17)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__empty__eq])])])]) ).

fof(c_0_32,plain,
    ! [X7,X8] : ~ hBOOL(hAPP(hAPP(c_member(X8),X7),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)))),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_emptyE])]) ).

cnf(c_0_33,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( hAPP(c_COMBK(X1,X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))
    | hBOOL(X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_24]) ).

cnf(c_0_35,plain,
    ~ hBOOL(c_fFalse),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))) = hAPP(c_COMBK(X3,X4),X5)
    | c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)) != X5 ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_37,plain,
    ! [X27,X28,X29,X30,X31] :
      ( ( hBOOL(hAPP(hAPP(X31,esk11_5(X27,X28,X29,X30,X31)),esk12_5(X27,X28,X29,X30,X31)))
        | c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X30)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X30),X31),X28),X27)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X30),tc_HOL_Obool)))) )
      & ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X30)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X30),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X30),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),esk12_5(X27,X28,X29,X30,X31)))),X28),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X30),hAPP(X27,esk11_5(X27,X28,X29,X30,X31))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X30),tc_HOL_Obool))))
        | c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X30)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X30),X31),X28),X27)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X30),tc_HOL_Obool)))) ) ),
    inference(distribute,[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_escape])])])])])]) ).

cnf(c_0_38,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_41,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))) = hAPP(c_COMBK(X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_42,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
    | hBOOL(hAPP(hAPP(X3,esk11_5(X5,X4,X2,X1,X3)),esk12_5(X5,X4,X2,X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
    inference(sr,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_fun(X4,tc_HOL_Obool)))),X5),X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_30]),c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW389+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun  5 21:10:19 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.98/8.16  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.98/8.16  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.98/8.16  # Preprocessing time       : 0.153 s
% 0.98/8.16  
% 0.98/8.16  # Proof found!
% 0.98/8.16  # SZS status Theorem
% 0.98/8.16  # SZS output start CNFRefutation
% See solution above
% 0.98/8.16  # Proof object total steps             : 47
% 0.98/8.16  # Proof object clause steps            : 24
% 0.98/8.16  # Proof object formula steps           : 23
% 0.98/8.16  # Proof object conjectures             : 7
% 0.98/8.16  # Proof object clause conjectures      : 4
% 0.98/8.16  # Proof object formula conjectures     : 3
% 0.98/8.16  # Proof object initial clauses used    : 11
% 0.98/8.16  # Proof object initial formulas used   : 11
% 0.98/8.16  # Proof object generating inferences   : 10
% 0.98/8.16  # Proof object simplifying inferences  : 6
% 0.98/8.16  # Training examples: 0 positive, 0 negative
% 0.98/8.16  # Parsed axioms                        : 5241
% 0.98/8.16  # Removed by relevancy pruning/SinE    : 5140
% 0.98/8.16  # Initial clauses                      : 155
% 0.98/8.16  # Removed in clause preprocessing      : 7
% 0.98/8.16  # Initial clauses in saturation        : 148
% 0.98/8.16  # Processed clauses                    : 3516
% 0.98/8.16  # ...of these trivial                  : 27
% 0.98/8.16  # ...subsumed                          : 2353
% 0.98/8.16  # ...remaining for further processing  : 1136
% 0.98/8.16  # Other redundant clauses eliminated   : 220
% 0.98/8.16  # Clauses deleted for lack of memory   : 61642
% 0.98/8.16  # Backward-subsumed                    : 115
% 0.98/8.16  # Backward-rewritten                   : 38
% 0.98/8.16  # Generated clauses                    : 163480
% 0.98/8.16  # ...of the previous two non-trivial   : 159530
% 0.98/8.16  # Contextual simplify-reflections      : 436
% 0.98/8.16  # Paramodulations                      : 163181
% 0.98/8.16  # Factorizations                       : 40
% 0.98/8.16  # Equation resolutions                 : 260
% 0.98/8.16  # Current number of processed clauses  : 978
% 0.98/8.16  #    Positive orientable unit clauses  : 78
% 0.98/8.16  #    Positive unorientable unit clauses: 21
% 0.98/8.16  #    Negative unit clauses             : 33
% 0.98/8.16  #    Non-unit-clauses                  : 846
% 0.98/8.16  # Current number of unprocessed clauses: 65137
% 0.98/8.16  # ...number of literals in the above   : 233564
% 0.98/8.16  # Current number of archived formulas  : 0
% 0.98/8.16  # Current number of archived clauses   : 153
% 0.98/8.16  # Clause-clause subsumption calls (NU) : 195939
% 0.98/8.16  # Rec. Clause-clause subsumption calls : 117688
% 0.98/8.16  # Non-unit clause-clause subsumptions  : 2249
% 0.98/8.16  # Unit Clause-clause subsumption calls : 4765
% 0.98/8.16  # Rewrite failures with RHS unbound    : 904
% 0.98/8.16  # BW rewrite match attempts            : 3454
% 0.98/8.16  # BW rewrite match successes           : 297
% 0.98/8.16  # Condensation attempts                : 0
% 0.98/8.16  # Condensation successes               : 0
% 0.98/8.16  # Termbank termtop insertions          : 7105996
% 0.98/8.16  
% 0.98/8.16  # -------------------------------------------------
% 0.98/8.16  # User time                : 5.989 s
% 0.98/8.16  # System time              : 0.080 s
% 0.98/8.16  # Total time               : 6.069 s
% 0.98/8.16  # Maximum resident set size: 133496 pages
% 0.98/24.11  eprover: CPU time limit exceeded, terminating
% 0.98/24.12  eprover: CPU time limit exceeded, terminating
% 0.98/24.12  eprover: CPU time limit exceeded, terminating
% 0.98/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.13  eprover: No such file or directory
% 0.98/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.14  eprover: No such file or directory
% 0.98/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.14  eprover: No such file or directory
% 0.98/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.14  eprover: No such file or directory
% 0.98/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.14  eprover: No such file or directory
% 0.98/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.14  eprover: No such file or directory
% 0.98/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.14  eprover: No such file or directory
% 0.98/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.14  eprover: No such file or directory
% 0.98/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.15  eprover: No such file or directory
% 0.98/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.15  eprover: No such file or directory
% 0.98/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.15  eprover: No such file or directory
% 0.98/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.15  eprover: No such file or directory
% 0.98/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.15  eprover: No such file or directory
% 0.98/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.15  eprover: No such file or directory
% 0.98/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.16  eprover: No such file or directory
% 0.98/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.16  eprover: No such file or directory
% 0.98/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.16  eprover: No such file or directory
% 0.98/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.16  eprover: No such file or directory
% 0.98/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.16  eprover: No such file or directory
% 0.98/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.16  eprover: No such file or directory
% 0.98/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.17  eprover: No such file or directory
% 0.98/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.17  eprover: No such file or directory
% 0.98/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.17  eprover: No such file or directory
% 0.98/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.17  eprover: No such file or directory
% 0.98/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.17  eprover: No such file or directory
% 0.98/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.17  eprover: No such file or directory
% 0.98/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.17  eprover: No such file or directory
% 0.98/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.98/24.18  eprover: No such file or directory
% 0.98/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.18  eprover: No such file or directory
% 0.98/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.18  eprover: No such file or directory
% 0.98/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.19  eprover: No such file or directory
% 0.98/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.19  eprover: No such file or directory
% 0.98/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.98/24.20  eprover: No such file or directory
%------------------------------------------------------------------------------