TSTP Solution File: SWW330+1 by E-SAT---3.1

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%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW330+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:11:03 EDT 2023

% Result   : Theorem 4.63s 2.23s
% Output   : CNFRefutation 4.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  115 (  76 unt;   0 def)
%            Number of atoms       :  177 ( 101 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  113 (  51   ~;  38   |;   9   &)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   44 (  44 usr;  17 con; 0-3 aty)
%            Number of variables   :  180 (  20 sgn; 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.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/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_Pls__def) ).

fof(fact_One__nat__def,axiom,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_One__nat__def) ).

fof(fact_number__of__is__id,axiom,
    ! [X105] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X105) = X105,
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_number__of__is__id) ).

fof(fact_transfer__int__nat__numerals_I2_J,axiom,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_transfer__int__nat__numerals_I2_J) ).

fof(fact_nat__number__of__def,axiom,
    ! [X147] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X147) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X147)),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_nat__number__of__def) ).

fof(conj_1,conjecture,
    ( ! [X3] :
        ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
       => c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) )
   => ! [X3] :
        ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
       => c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',conj_1) ).

fof(fact_Collect__empty__eq,axiom,
    ! [X6,X7] :
      ( hAPP(c_Set_OCollect(X7),X6) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X6,X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_Collect__empty__eq) ).

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/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_one__is__num__one) ).

fof(fact_card__infinite,axiom,
    ! [X21,X7] :
      ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X21))
     => hAPP(c_Finite__Set_Ocard(X7),X21) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_card__infinite) ).

fof(fact_Collect__def,axiom,
    ! [X6,X7] : hAPP(c_Set_OCollect(X7),X6) = X6,
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_Collect__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/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_semiring__norm_I115_J) ).

fof(fact_Zero__neq__Suc,axiom,
    ! [X37] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X37),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_Zero__neq__Suc) ).

fof(help_c__COMBK__1,axiom,
    ! [X312,X58,X7,X28] : hAPP(hAPP(c_COMBK(X28,X7),X58),X312) = X58,
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',help_c__COMBK__1) ).

fof(fact_Collect__neg__eq,axiom,
    ! [X6,X7] : hAPP(c_Set_OCollect(X7),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X7),c_fNot),X6)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Set_OCollect(X7),X6)),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_Collect__neg__eq) ).

fof(fact_finite__Un,axiom,
    ! [X16,X124,X7] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X7),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X7,tc_HOL_Obool)),X124),X16)))
    <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X124))
        & hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X16)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_finite__Un) ).

fof(fact_Un__UNIV__right,axiom,
    ! [X21,X7] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X7,tc_HOL_Obool)),X21),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_Un__UNIV__right) ).

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/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_card__UNIV__bool) ).

fof(fact_mem__def,axiom,
    ! [X21,X19,X7] :
      ( hBOOL(hAPP(hAPP(c_member(X7),X19),X21))
    <=> hBOOL(hAPP(X21,X19)) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_mem__def) ).

fof(fact_double__complement,axiom,
    ! [X21,X7] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),X21)) = X21,
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_double__complement) ).

fof(help_c__fNot__1,axiom,
    ! [X6] :
      ( ~ hBOOL(hAPP(c_fNot,X6))
      | ~ hBOOL(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',help_c__fNot__1) ).

fof(fact_add__eq__self__zero,axiom,
    ! [X27,X37] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),X27) = X37
     => X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_add__eq__self__zero) ).

fof(help_c__COMBB__1,axiom,
    ! [X68,X4,X6,X36,X7,X22] : hAPP(hAPP(hAPP(c_COMBB(X22,X7,X36),X6),X4),X68) = hAPP(X6,hAPP(X4,X68)),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',help_c__COMBB__1) ).

fof(fact_filter__id__conv,axiom,
    ! [X249,X6,X7] :
      ( hAPP(c_List_Ofilter(X7,X6),X249) = X249
    <=> ! [X3] :
          ( hBOOL(hAPP(hAPP(c_member(X7),X3),hAPP(c_List_Oset(X7),X249)))
         => hBOOL(hAPP(X6,X3)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_filter__id__conv) ).

fof(fact_add__Suc__right,axiom,
    ! [X27,X37] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),hAPP(c_Nat_OSuc,X27)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),X27)),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_add__Suc__right) ).

fof(fact_Nat_Oadd__0__right,axiom,
    ! [X37] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X37,
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_Nat_Oadd__0__right) ).

fof(fact_n__not__Suc__n,axiom,
    ! [X27] : X27 != hAPP(c_Nat_OSuc,X27),
    file('/export/starexec/sandbox2/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p',fact_n__not__Suc__n) ).

cnf(c_0_27,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_28,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).

cnf(c_0_29,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[fact_One__nat__def]) ).

cnf(c_0_30,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_31,plain,
    ! [X3108] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3108) = X3108,
    inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).

cnf(c_0_32,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[fact_transfer__int__nat__numerals_I2_J]) ).

cnf(c_0_33,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_34,plain,
    ! [X5411] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X5411) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X5411)),
    inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).

fof(c_0_35,negated_conjecture,
    ~ ( ! [X3] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) )
     => ! [X3] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ) ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_36,plain,
    ! [X6,X7] :
      ( hAPP(c_Set_OCollect(X7),X6) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X6,X3)) ),
    inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).

cnf(c_0_37,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_38,plain,
    hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,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_34]) ).

fof(c_0_41,plain,
    ! [X21,X7] :
      ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X21))
     => hAPP(c_Finite__Set_Ocard(X7),X21) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(fof_simplification,[status(thm)],[fact_card__infinite]) ).

fof(c_0_42,negated_conjecture,
    ! [X316] :
      ( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X316),v_G))
        | c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X316) )
      & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
      & ~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk2_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).

fof(c_0_43,plain,
    ! [X4670,X4671,X4672,X4673,X4675] :
      ( ( hAPP(c_Set_OCollect(X4671),X4670) != c_Orderings_Obot__class_Obot(tc_fun(X4671,tc_HOL_Obool))
        | ~ hBOOL(hAPP(X4670,X4672)) )
      & ( hBOOL(hAPP(X4673,esk144_1(X4673)))
        | hAPP(c_Set_OCollect(X4675),X4673) = c_Orderings_Obot__class_Obot(tc_fun(X4675,tc_HOL_Obool)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).

fof(c_0_44,plain,
    ! [X4662,X4663] : hAPP(c_Set_OCollect(X4663),X4662) = X4662,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

cnf(c_0_45,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_46,plain,
    c_Int_OBit1(c_Int_OPls) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_47,plain,
    hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,X1),
    inference(rw,[status(thm)],[c_0_40,c_0_38]) ).

fof(c_0_48,plain,
    ! [X3804,X3805] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X3805),X3804))
      | hAPP(c_Finite__Set_Ocard(X3805),X3804) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).

fof(c_0_49,plain,
    ! [X957] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X957),
    inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).

cnf(c_0_50,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_52,plain,
    ! [X2548,X2549,X2550,X2551] : hAPP(hAPP(c_COMBK(X2551,X2550),X2549),X2548) = X2549,
    inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).

cnf(c_0_53,plain,
    ( hBOOL(hAPP(X1,esk144_1(X1)))
    | hAPP(c_Set_OCollect(X2),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_54,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_55,plain,
    ! [X2597,X2598] : hAPP(c_Set_OCollect(X2598),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2598),c_fNot),X2597)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2598,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2598),X2597)),
    inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).

fof(c_0_56,plain,
    ! [X824,X825,X826] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X825))
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X826,tc_HOL_Obool)),X825),X824))) )
      & ( hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X824))
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X826,tc_HOL_Obool)),X825),X824))) )
      & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X825))
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X824))
        | hBOOL(hAPP(c_Finite__Set_Ofinite(X826),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X826,tc_HOL_Obool)),X825),X824))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__Un])])]) ).

fof(c_0_57,plain,
    ! [X1988,X1989] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1989,tc_HOL_Obool)),X1988),c_Orderings_Otop__class_Otop(tc_fun(X1989,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1989,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[fact_Un__UNIV__right]) ).

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_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_59,plain,
    hAPP(c_Int_Onat,c_Int_OBit0(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))))) = 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)],[c_0_45,c_0_46]),c_0_47]),c_0_30]) ).

cnf(c_0_60,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_48]) ).

cnf(c_0_61,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_62,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Int_Onat,c_Int_OPls),esk2_0),
    inference(rw,[status(thm)],[c_0_50,c_0_30]) ).

cnf(c_0_63,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Int_Onat,c_Int_OPls),X1)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
    inference(rw,[status(thm)],[c_0_51,c_0_30]) ).

fof(c_0_64,plain,
    ! [X672,X673,X674] :
      ( ( ~ hBOOL(hAPP(hAPP(c_member(X674),X673),X672))
        | hBOOL(hAPP(X672,X673)) )
      & ( ~ hBOOL(hAPP(X672,X673))
        | hBOOL(hAPP(hAPP(c_member(X674),X673),X672)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])]) ).

cnf(c_0_65,plain,
    hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_66,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | hBOOL(hAPP(X1,esk144_1(X1))) ),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

fof(c_0_67,plain,
    ! [X1914,X1915] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1915,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1915,tc_HOL_Obool)),X1914)) = X1914,
    inference(variable_rename,[status(thm)],[fact_double__complement]) ).

cnf(c_0_68,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_69,plain,
    ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_70,plain,
    hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_71,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)],[c_0_58,c_0_46]),c_0_47]),c_0_59]) ).

cnf(c_0_72,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_60,c_0_30]) ).

cnf(c_0_73,plain,
    hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
    inference(rw,[status(thm)],[c_0_61,c_0_30]) ).

fof(c_0_74,plain,
    ! [X6] :
      ( ~ hBOOL(hAPP(c_fNot,X6))
      | ~ hBOOL(X6) ),
    inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).

cnf(c_0_75,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),v_G)),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_76,plain,
    ( hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_77,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = X3
    | hBOOL(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_65]) ).

fof(c_0_78,plain,
    ! [X2149,X2150] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2150),X2149) != X2150
      | X2149 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])]) ).

fof(c_0_79,plain,
    ! [X540,X541,X542,X543,X544,X545] : hAPP(hAPP(hAPP(c_COMBB(X545,X544,X543),X542),X541),X540) = hAPP(X542,hAPP(X541,X540)),
    inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).

cnf(c_0_80,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_81,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_54]),c_0_54]) ).

fof(c_0_82,plain,
    ! [X5129,X5130,X5131,X5132,X5133,X5134,X5135] :
      ( ( hAPP(c_List_Ofilter(X5131,X5130),X5129) != X5129
        | ~ hBOOL(hAPP(hAPP(c_member(X5131),X5132),hAPP(c_List_Oset(X5131),X5129)))
        | hBOOL(hAPP(X5130,X5132)) )
      & ( hBOOL(hAPP(hAPP(c_member(X5135),esk161_3(X5133,X5134,X5135)),hAPP(c_List_Oset(X5135),X5133)))
        | hAPP(c_List_Ofilter(X5135,X5134),X5133) = X5133 )
      & ( ~ hBOOL(hAPP(X5134,esk161_3(X5133,X5134,X5135)))
        | hAPP(c_List_Ofilter(X5135,X5134),X5133) = X5133 ) ),
    inference(distribute,[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_filter__id__conv])])])])])]) ).

cnf(c_0_83,plain,
    ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
    | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_84,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_71,c_0_72]),c_0_73]) ).

fof(c_0_85,plain,
    ! [X2609] :
      ( ~ hBOOL(hAPP(c_fNot,X2609))
      | ~ hBOOL(X2609) ),
    inference(variable_rename,[status(thm)],[c_0_74]) ).

cnf(c_0_86,negated_conjecture,
    ~ hBOOL(hAPP(v_G,esk2_0)),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_87,plain,
    ( X1 = X2
    | hBOOL(X1)
    | hBOOL(X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_77]) ).

cnf(c_0_88,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

fof(c_0_89,plain,
    ! [X968,X969] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X969),hAPP(c_Nat_OSuc,X968)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X969),X968)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).

cnf(c_0_90,plain,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_91,plain,
    hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_81]) ).

cnf(c_0_92,plain,
    ( hAPP(c_List_Ofilter(X3,X1),X2) = X2
    | ~ hBOOL(hAPP(X1,esk161_3(X2,X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_93,plain,
    hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X1)),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_94,plain,
    ( ~ hBOOL(hAPP(c_fNot,X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_95,negated_conjecture,
    ( X1 = hAPP(v_G,esk2_0)
    | hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_96,plain,
    ( X1 = hAPP(c_Int_Onat,c_Int_OPls)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != X2 ),
    inference(rw,[status(thm)],[c_0_88,c_0_30]) ).

cnf(c_0_97,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

fof(c_0_98,plain,
    ! [X2153] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2153),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2153,
    inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).

cnf(c_0_99,plain,
    hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_90]) ).

cnf(c_0_100,plain,
    hAPP(c_List_Ofilter(X1,c_Finite__Set_Ofinite(tc_HOL_Obool)),X2) = X2,
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_101,negated_conjecture,
    ( hAPP(c_fNot,X1) = hAPP(v_G,esk2_0)
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_102,plain,
    hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) != X1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_73]) ).

cnf(c_0_103,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_98]) ).

fof(c_0_104,plain,
    ! [X967] : X967 != hAPP(c_Nat_OSuc,X967),
    inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).

cnf(c_0_105,plain,
    hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,negated_conjecture,
    ( hAPP(c_fNot,X1) = hAPP(v_G,esk2_0)
    | X1 = hAPP(v_G,esk2_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_95]) ).

cnf(c_0_107,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))) != X1,
    inference(spm,[status(thm)],[c_0_102,c_0_97]) ).

cnf(c_0_108,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Int_Onat,c_Int_OPls)) = X1,
    inference(rw,[status(thm)],[c_0_103,c_0_30]) ).

cnf(c_0_109,plain,
    X1 != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_110,negated_conjecture,
    ( hAPP(c_fNot,hAPP(v_G,esk2_0)) = X1
    | X1 = hAPP(v_G,esk2_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_111,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_112,negated_conjecture,
    hAPP(c_Nat_OSuc,hAPP(c_fNot,hAPP(v_G,esk2_0))) = hAPP(v_G,esk2_0),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110])]) ).

cnf(c_0_113,negated_conjecture,
    hAPP(c_fNot,hAPP(v_G,esk2_0)) != hAPP(c_Nat_OSuc,hAPP(v_G,esk2_0)),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_114,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_110])]),c_0_109]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW330+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n028.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   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 22:49:22 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 1.05/1.22  Running first-order model finding
% 1.05/1.22  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/tmp/tmp.FH2Cjc1UFN/E---3.1_6128.p
% 4.63/2.22  # Version: 3.1pre001
% 4.63/2.22  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.63/2.22  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.63/2.22  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.63/2.22  # Starting new_bool_3 with 300s (1) cores
% 4.63/2.22  # Starting new_bool_1 with 300s (1) cores
% 4.63/2.22  # Starting sh5l with 300s (1) cores
% 4.63/2.22  # new_bool_1 with pid 6466 completed with status 0
% 4.63/2.22  # Result found by new_bool_1
% 4.63/2.22  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.63/2.22  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.63/2.22  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.63/2.22  # Starting new_bool_3 with 300s (1) cores
% 4.63/2.22  # Starting new_bool_1 with 300s (1) cores
% 4.63/2.22  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.63/2.22  # Search class: FGHSM-SMLM33-DFFFFFNN
% 4.63/2.22  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.63/2.22  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 4.63/2.22  # SAT001_MinMin_p005000_rr with pid 6469 completed with status 0
% 4.63/2.22  # Result found by SAT001_MinMin_p005000_rr
% 4.63/2.22  # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.63/2.23  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.63/2.23  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.63/2.23  # Starting new_bool_3 with 300s (1) cores
% 4.63/2.23  # Starting new_bool_1 with 300s (1) cores
% 4.63/2.23  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.63/2.23  # Search class: FGHSM-SMLM33-DFFFFFNN
% 4.63/2.23  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.63/2.23  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 4.63/2.23  # Preprocessing time       : 0.056 s
% 4.63/2.23  # Presaturation interreduction done
% 4.63/2.23  
% 4.63/2.23  # Proof found!
% 4.63/2.23  # SZS status Theorem
% 4.63/2.23  # SZS output start CNFRefutation
% See solution above
% 4.63/2.23  # Parsed axioms                        : 5225
% 4.63/2.23  # Removed by relevancy pruning/SinE    : 3761
% 4.63/2.23  # Initial clauses                      : 2234
% 4.63/2.23  # Removed in clause preprocessing      : 70
% 4.63/2.23  # Initial clauses in saturation        : 2164
% 4.63/2.23  # Processed clauses                    : 4750
% 4.63/2.23  # ...of these trivial                  : 224
% 4.63/2.23  # ...subsumed                          : 1608
% 4.63/2.23  # ...remaining for further processing  : 2918
% 4.63/2.23  # Other redundant clauses eliminated   : 1320
% 4.63/2.23  # Clauses deleted for lack of memory   : 0
% 4.63/2.23  # Backward-subsumed                    : 46
% 4.63/2.23  # Backward-rewritten                   : 232
% 4.63/2.23  # Generated clauses                    : 41006
% 4.63/2.23  # ...of the previous two non-redundant : 37066
% 4.63/2.23  # ...aggressively subsumed             : 0
% 4.63/2.23  # Contextual simplify-reflections      : 8
% 4.63/2.23  # Paramodulations                      : 39676
% 4.63/2.23  # Factorizations                       : 10
% 4.63/2.23  # NegExts                              : 0
% 4.63/2.23  # Equation resolutions                 : 1344
% 4.63/2.23  # Total rewrite steps                  : 8879
% 4.63/2.23  # Propositional unsat checks           : 0
% 4.63/2.23  #    Propositional check models        : 0
% 4.63/2.23  #    Propositional check unsatisfiable : 0
% 4.63/2.23  #    Propositional clauses             : 0
% 4.63/2.23  #    Propositional clauses after purity: 0
% 4.63/2.23  #    Propositional unsat core size     : 0
% 4.63/2.23  #    Propositional preprocessing time  : 0.000
% 4.63/2.23  #    Propositional encoding time       : 0.000
% 4.63/2.23  #    Propositional solver time         : 0.000
% 4.63/2.23  #    Success case prop preproc time    : 0.000
% 4.63/2.23  #    Success case prop encoding time   : 0.000
% 4.63/2.23  #    Success case prop solver time     : 0.000
% 4.63/2.23  # Current number of processed clauses  : 893
% 4.63/2.23  #    Positive orientable unit clauses  : 382
% 4.63/2.23  #    Positive unorientable unit clauses: 3
% 4.63/2.23  #    Negative unit clauses             : 134
% 4.63/2.23  #    Non-unit-clauses                  : 374
% 4.63/2.23  # Current number of unprocessed clauses: 30954
% 4.63/2.23  # ...number of literals in the above   : 70042
% 4.63/2.23  # Current number of archived formulas  : 0
% 4.63/2.23  # Current number of archived clauses   : 1857
% 4.63/2.23  # Clause-clause subsumption calls (NU) : 340234
% 4.63/2.23  # Rec. Clause-clause subsumption calls : 159249
% 4.63/2.23  # Non-unit clause-clause subsumptions  : 1033
% 4.63/2.23  # Unit Clause-clause subsumption calls : 5514
% 4.63/2.23  # Rewrite failures with RHS unbound    : 169
% 4.63/2.23  # BW rewrite match attempts            : 7529
% 4.63/2.23  # BW rewrite match successes           : 398
% 4.63/2.23  # Condensation attempts                : 0
% 4.63/2.23  # Condensation successes               : 0
% 4.63/2.23  # Termbank termtop insertions          : 951449
% 4.63/2.23  
% 4.63/2.23  # -------------------------------------------------
% 4.63/2.23  # User time                : 0.816 s
% 4.63/2.23  # System time              : 0.048 s
% 4.63/2.23  # Total time               : 0.864 s
% 4.63/2.23  # Maximum resident set size: 15848 pages
% 4.63/2.23  
% 4.63/2.23  # -------------------------------------------------
% 4.63/2.23  # User time                : 0.926 s
% 4.63/2.23  # System time              : 0.054 s
% 4.63/2.23  # Total time               : 0.980 s
% 4.63/2.23  # Maximum resident set size: 9556 pages
% 4.63/2.23  % E---3.1 exiting
%------------------------------------------------------------------------------