TSTP Solution File: LCL760-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL760-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n007.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 Aug 22 10:48:55 EDT 2023

% Result   : Unsatisfiable 7.27s 2.68s
% Output   : CNFRefutation 7.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  101 (   5 unt;  96 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  140 (  83   >;  57   *;   0   +;   0  <<)
%            Number of predicates  :   48 (  47 usr;   1 prp; 0-3 aty)
%            Number of functors    :   49 (  49 usr;  13 con; 0-6 aty)
%            Number of variables   :    4 (;   4   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_fequal > c_Type_Otypings > c_Type_Otyping > c_Ring__and__Field_Odvd__class_Odvd > c_List_Olistsp > c_HOL_Oord__class_Oless > c_Lambda_Obeta > hBOOL > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osemiring__1 > class_Ring__and__Field_Osemiring__0 > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring__1__no__zero__divisors > class_Ring__and__Field_Oordered__semiring__strict > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oordered__comm__semiring__strict > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Oidom > class_Ring__and__Field_Odvd > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Osemigroup__add > class_OrderedGroup_Opordered__comm__monoid__add > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ocomm__monoid__mult > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__ab__semigroup__add > class_OrderedGroup_Oab__semigroup__mult > class_OrderedGroup_Oab__semigroup__idem__mult > class_OrderedGroup_Oab__semigroup__add > class_OrderedGroup_Oab__group__add > class_Nat_Osemiring__char__0 > class_Int_Onumber__ring > class_Divides_Osemiring__div > c_COMBB > c_List_Ofoldl > c_Lambda_OdB_OdB__case > c_COMBC > c_Type_Oshift > c_List_Omap > c_Finite__Set_Osetsum > c_SetInterval_Oord__class_OatLeastLessThan > c_Power_Opower__class_Opower > c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 > c_Lambda_Osubstn > c_HOL_Otimes__class_Otimes > c_Divides_Odiv__class_Omod > c_Divides_Odiv__class_Odiv > tc_fun > hAPP > c_Nat_Osize__class_Osize > c_Nat_Osemiring__1__class_Oof__nat > #nlpp > v_sko__Nat__Xnat__Xinducts__1 > v_sko__Nat__Xnat__Xinduct__1 > v_sko__List__Xupt__Xinduct__1 > v_sko__List__Xreplicate__Xinduct__1 > v_sko__List__Xlexn__Xinduct__1 > c_Suc > c_List_Olist_ONil > c_Lambda_OdB_OdB__size > c_Lambda_OdB_OVar > c_Lambda_OdB_OAbs > c_HOL_Ozero__class_Ozero > c_HOL_Oplus__class_Oplus > c_HOL_Oone__class_Oone > c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 > c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1 > c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 > c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1 > c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1 > v_ss > v_s > v_ra > v_ja > v_ia > tc_nat > tc_Type_Otype > tc_Lambda_OdB > t_a > c_Lambda_Osubst > c_Lambda_Olift > c_Lambda_OdB_OApp > c_InductTermi_OIT

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
    class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).

tff(class_Orderings_Olinorder,type,
    class_Orderings_Olinorder: $i > $o ).

tff(v_ja,type,
    v_ja: $i ).

tff(class_Int_Onumber__ring,type,
    class_Int_Onumber__ring: $i > $o ).

tff(v_sko__List__Xlexn__Xinduct__1,type,
    v_sko__List__Xlexn__Xinduct__1: $i > $i ).

tff(c_List_Olist_ONil,type,
    c_List_Olist_ONil: $i > $i ).

tff(c_HOL_Oord__class_Oless,type,
    c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).

tff(c_COMBC,type,
    c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).

tff(c_Nat_Osize__class_Osize,type,
    c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).

tff(tc_Type_Otype,type,
    tc_Type_Otype: $i ).

tff(c_Lambda_OdB_OdB__case,type,
    c_Lambda_OdB_OdB__case: ( $i * $i * $i * $i * $i ) > $i ).

tff(v_s,type,
    v_s: $i ).

tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
    class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).

tff(class_Ring__and__Field_Osemiring,type,
    class_Ring__and__Field_Osemiring: $i > $o ).

tff(class_Ring__and__Field_Oring__1__no__zero__divisors,type,
    class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).

tff(class_Ring__and__Field_Ocomm__semiring,type,
    class_Ring__and__Field_Ocomm__semiring: $i > $o ).

tff(class_Ring__and__Field_Osemiring__0,type,
    class_Ring__and__Field_Osemiring__0: $i > $o ).

tff(c_Nat_Osemiring__1__class_Oof__nat,type,
    c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).

tff(class_OrderedGroup_Oab__semigroup__add,type,
    class_OrderedGroup_Oab__semigroup__add: $i > $o ).

tff(v_sko__List__Xreplicate__Xinduct__1,type,
    v_sko__List__Xreplicate__Xinduct__1: $i > $i ).

tff(c_InductTermi_OIT,type,
    c_InductTermi_OIT: $i ).

tff(t_a,type,
    t_a: $i ).

tff(class_Ring__and__Field_Omult__zero,type,
    class_Ring__and__Field_Omult__zero: $i > $o ).

tff(class_OrderedGroup_Olordered__ab__group__add,type,
    class_OrderedGroup_Olordered__ab__group__add: $i > $o ).

tff(c_Lambda_Obeta,type,
    c_Lambda_Obeta: ( $i * $i ) > $o ).

tff(c_List_Ofoldl,type,
    c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).

tff(class_Orderings_Oorder,type,
    class_Orderings_Oorder: $i > $o ).

tff(class_Orderings_Opreorder,type,
    class_Orderings_Opreorder: $i > $o ).

tff(c_List_Olistsp,type,
    c_List_Olistsp: ( $i * $i * $i ) > $o ).

tff(class_OrderedGroup_Oab__semigroup__mult,type,
    class_OrderedGroup_Oab__semigroup__mult: $i > $o ).

tff(class_Ring__and__Field_Ono__zero__divisors,type,
    class_Ring__and__Field_Ono__zero__divisors: $i > $o ).

tff(class_Ring__and__Field_Ozero__neq__one,type,
    class_Ring__and__Field_Ozero__neq__one: $i > $o ).

tff(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1,type,
    c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1: $i > $i ).

tff(c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1,type,
    c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1: ( $i * $i * $i ) > $i ).

tff(class_Ring__and__Field_Oordered__ring__strict,type,
    class_Ring__and__Field_Oordered__ring__strict: $i > $o ).

tff(v_ra,type,
    v_ra: $i ).

tff(c_Lambda_Osubst,type,
    c_Lambda_Osubst: $i ).

tff(c_HOL_Oplus__class_Oplus,type,
    c_HOL_Oplus__class_Oplus: $i > $i ).

tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).

tff(c_Lambda_OdB_OVar,type,
    c_Lambda_OdB_OVar: $i > $i ).

tff(c_Type_Oshift,type,
    c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).

tff(c_Type_Otyping,type,
    c_Type_Otyping: ( $i * $i * $i ) > $o ).

tff(c_Suc,type,
    c_Suc: $i > $i ).

tff(class_Ring__and__Field_Oordered__comm__semiring__strict,type,
    class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).

tff(class_Ring__and__Field_Oordered__idom,type,
    class_Ring__and__Field_Oordered__idom: $i > $o ).

tff(c_Lambda_OdB_OAbs,type,
    c_Lambda_OdB_OAbs: $i > $i ).

tff(class_OrderedGroup_Ocancel__semigroup__add,type,
    class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).

tff(v_sko__List__Xupt__Xinduct__1,type,
    v_sko__List__Xupt__Xinduct__1: $i > $i ).

tff(tc_nat,type,
    tc_nat: $i ).

tff(c_Divides_Odiv__class_Omod,type,
    c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).

tff(v_sko__Nat__Xnat__Xinducts__1,type,
    v_sko__Nat__Xnat__Xinducts__1: $i > $i ).

tff(class_OrderedGroup_Opordered__cancel__ab__semigroup__add,type,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).

tff(class_OrderedGroup_Ocomm__monoid__mult,type,
    class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).

tff(class_OrderedGroup_Ocomm__monoid__add,type,
    class_OrderedGroup_Ocomm__monoid__add: $i > $o ).

tff(class_Power_Opower,type,
    class_Power_Opower: $i > $o ).

tff(tc_fun,type,
    tc_fun: ( $i * $i ) > $i ).

tff(class_Ring__and__Field_Oring__no__zero__divisors,type,
    class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).

tff(class_Ring__and__Field_Oidom,type,
    class_Ring__and__Field_Oidom: $i > $o ).

tff(c_Lambda_OdB_OApp,type,
    c_Lambda_OdB_OApp: $i ).

tff(class_OrderedGroup_Omonoid__add,type,
    class_OrderedGroup_Omonoid__add: $i > $o ).

tff(c_Type_Otypings,type,
    c_Type_Otypings: ( $i * $i * $i ) > $o ).

tff(c_Lambda_Osubstn,type,
    c_Lambda_Osubstn: ( $i * $i * $i ) > $i ).

tff(class_Ring__and__Field_Oordered__semiring__strict,type,
    class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).

tff(c_COMBB,type,
    c_COMBB: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(class_Nat_Osemiring__char__0,type,
    class_Nat_Osemiring__char__0: $i > $o ).

tff(c_Power_Opower__class_Opower,type,
    c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).

tff(c_HOL_Otimes__class_Otimes,type,
    c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).

tff(tc_Lambda_OdB,type,
    tc_Lambda_OdB: $i ).

tff(c_Ring__and__Field_Odvd__class_Odvd,type,
    c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).

tff(class_OrderedGroup_Osemigroup__add,type,
    class_OrderedGroup_Osemigroup__add: $i > $o ).

tff(c_Divides_Odiv__class_Odiv,type,
    c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).

tff(c_HOL_Ozero__class_Ozero,type,
    c_HOL_Ozero__class_Ozero: $i > $i ).

tff(c_HOL_Oone__class_Oone,type,
    c_HOL_Oone__class_Oone: $i > $i ).

tff(c_fequal,type,
    c_fequal: ( $i * $i * $i ) > $o ).

tff(c_SetInterval_Oord__class_OatLeastLessThan,type,
    c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).

tff(class_OrderedGroup_Omonoid__mult,type,
    class_OrderedGroup_Omonoid__mult: $i > $o ).

tff(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1,type,
    c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1: $i > $i ).

tff(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1,type,
    c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1: $i > $i ).

tff(class_OrderedGroup_Oab__group__add,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

tff(hAPP,type,
    hAPP: ( $i * $i ) > $i ).

tff(v_ia,type,
    v_ia: $i ).

tff(class_Ring__and__Field_Odvd,type,
    class_Ring__and__Field_Odvd: $i > $o ).

tff(hBOOL,type,
    hBOOL: $i > $o ).

tff(class_Divides_Osemiring__div,type,
    class_Divides_Osemiring__div: $i > $o ).

tff(v_sko__Nat__Xnat__Xinduct__1,type,
    v_sko__Nat__Xnat__Xinduct__1: $i > $i ).

tff(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1,type,
    c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1: $i > $i ).

tff(class_Ring__and__Field_Ocomm__semiring__1,type,
    class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).

tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
    class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).

tff(c_Finite__Set_Osetsum,type,
    c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).

tff(v_ss,type,
    v_ss: $i ).

tff(c_Lambda_OdB_OdB__size,type,
    c_Lambda_OdB_OdB__size: $i > $i ).

tff(c_Lambda_Olift,type,
    c_Lambda_Olift: $i ).

tff(class_Ring__and__Field_Osemiring__1,type,
    class_Ring__and__Field_Osemiring__1: $i > $o ).

tff(class_Ring__and__Field_Oordered__semidom,type,
    class_Ring__and__Field_Oordered__semidom: $i > $o ).

tff(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1,type,
    c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1: $i > $i ).

tff(c_List_Omap,type,
    c_List_Omap: ( $i * $i * $i * $i ) > $i ).

tff(f_3633,axiom,
    ! [V_i,V_j] : hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(V_i))),c_Suc(V_j))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(V_i)),V_j)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_j,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file(unknown,unknown) ).

tff(f_3638,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(v_ia))),c_Suc(v_ja))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(v_ia)),v_ja)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file(unknown,unknown) ).

tff(c_1224,plain,
    ! [V_i_1693,V_j_1694] : hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(V_i_1693))),c_Suc(V_j_1694))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(V_i_1693)),V_j_1694)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i_1693),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_j_1694,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    inference(cnfTransformation,[status(thm)],[f_3633]) ).

tff(c_1230,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(v_ia))),c_Suc(v_ja))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(v_ia)),v_ja)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    inference(cnfTransformation,[status(thm)],[f_3638]) ).

tff(c_1304,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1224,c_1230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : LCL760-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n007.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 : Thu Aug  3 13:17:38 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 7.27/2.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.27/2.69  
% 7.27/2.69  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.27/2.71  
% 7.27/2.71  Inference rules
% 7.27/2.71  ----------------------
% 7.27/2.71  #Ref     : 0
% 7.27/2.71  #Sup     : 0
% 7.27/2.71  #Fact    : 0
% 7.27/2.71  #Define  : 0
% 7.27/2.71  #Split   : 0
% 7.27/2.71  #Chain   : 0
% 7.27/2.71  #Close   : 0
% 7.27/2.71  
% 7.27/2.71  Ordering : KBO
% 7.27/2.71  
% 7.27/2.71  Simplification rules
% 7.27/2.71  ----------------------
% 7.27/2.71  #Subsume      : 650
% 7.27/2.71  #Demod        : 1
% 7.27/2.71  #Tautology    : 0
% 7.27/2.71  #SimpNegUnit  : 0
% 7.27/2.71  #BackRed      : 0
% 7.27/2.71  
% 7.27/2.71  #Partial instantiations: 0
% 7.27/2.71  #Strategies tried      : 1
% 7.27/2.71  
% 7.27/2.71  Timing (in seconds)
% 7.27/2.71  ----------------------
% 7.27/2.72  Preprocessing        : 1.47
% 7.27/2.72  Parsing              : 0.81
% 7.27/2.72  CNF conversion       : 0.12
% 7.27/2.72  Main loop            : 0.14
% 7.27/2.72  Inferencing          : 0.00
% 7.27/2.72  Reduction            : 0.07
% 7.27/2.72  Demodulation         : 0.05
% 7.27/2.72  BG Simplification    : 0.13
% 7.27/2.72  Subsumption          : 0.05
% 7.27/2.72  Abstraction          : 0.03
% 7.27/2.72  MUC search           : 0.00
% 7.27/2.72  Cooper               : 0.00
% 7.27/2.72  Total                : 1.66
% 7.27/2.72  Index Insertion      : 0.00
% 7.27/2.72  Index Deletion       : 0.00
% 7.27/2.72  Index Matching       : 0.00
% 7.27/2.72  BG Taut test         : 0.00
%------------------------------------------------------------------------------