TSTP Solution File: ALG414-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ALG414-1 : 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 : n004.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 10:32:41 EDT 2023

% Result   : Unsatisfiable 8.28s 3.18s
% Output   : CNFRefutation 8.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  109
% Syntax   : Number of formulae    :  112 (   5 unt; 107 typ;   0 def)
%            Number of atoms       :    5 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  157 ( 100   >;  57   *;   0   +;   0  <<)
%            Number of predicates  :   69 (  67 usr;   1 prp; 0-5 aty)
%            Number of functors    :   40 (  40 usr;   7 con; 0-4 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_Polynomial_Opdivmod__rel > c_Ring__and__Field_Odvd__class_Odvd > c_HOL_Oord__class_Oless > c_HOL_Oeq__class_Oeq > c_Polynomial_Opos__poly > class_SEQ_Obanach > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osgn__if > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring > class_Ring__and__Field_Opordered__ring > 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__field > 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_Ofield > class_Ring__and__Field_Odvd > class_Ring__and__Field_Odivision__by__zero > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring__0 > class_Ring__and__Field_Ocomm__semiring > class_Ring__and__Field_Ocomm__ring__1 > class_Ring__and__Field_Ocomm__ring > class_Ring__and__Field_Oabs__if > class_RealVector_Oreal__vector > class_RealVector_Oreal__normed__vector > class_RealVector_Oreal__normed__field > class_RealVector_Oreal__normed__div__algebra > class_RealVector_Oreal__normed__algebra__1 > class_RealVector_Oreal__normed__algebra > class_RealVector_Oreal__field > class_RealVector_Oreal__algebra > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__comm__monoid__add > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > class_OrderedGroup_Opordered__ab__group__add__abs > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Oordered__ab__group__add > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add__abs > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__mult > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__comm__monoid__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_Lattices_Oboolean__algebra > class_Int_Onumber__ring > class_HOL_Ozero > class_HOL_Oeq > class_Divides_Osemiring__div > class_Divides_Oring__div > c_Pair > c_RealVector_OscaleR__class_OscaleR > c_Polynomial_Osynthetic__divmod > c_Polynomial_Osynthetic__div > c_Polynomial_Osmult > c_Polynomial_Opoly__gcd > c_Polynomial_Opoly > c_Polynomial_Opdivmod > c_Polynomial_Opcompose > c_Polynomial_OpCons > c_Polynomial_Omonom > c_Polynomial_Ocoeff > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_HOL_Oinverse__class_Odivide > c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly > c_Divides_Odiv__class_Omod > tc_prod > c_Transcendental_Oexp > c_RealVector_Oof__real > c_RealVector_Onorm__class_Onorm > c_Polynomial_Odegree > c_OrderedGroup_Olordered__ab__group__add__class_Opprt > c_HOL_Ouminus__class_Ouminus > c_HOL_Osgn__class_Osgn > c_HOL_Oabs__class_Oabs > #nlpp > v_sko__local__XpCons__Xhyps__1 > v_sko__local__XpCons__1__1 > tc_Polynomial_Opoly > c_Suc > c_HOL_Ozero__class_Ozero > c_HOL_Oone__class_Oone > v_x____ > v_p > v_ds____ > v_d____ > tc_nat > tc_RealDef_Oreal > tc_Complex_Ocomplex

%Foreground sorts:

%Background operators:

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

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

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

tff(class_Ring__and__Field_Ocomm__semiring__0,type,
    class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).

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

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

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

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

tff(c_OrderedGroup_Olordered__ab__group__add__class_Opprt,type,
    c_OrderedGroup_Olordered__ab__group__add__class_Opprt: ( $i * $i ) > $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_RealVector_Oreal__normed__algebra__1,type,
    class_RealVector_Oreal__normed__algebra__1: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(v_sko__local__XpCons__1__1,type,
    v_sko__local__XpCons__1__1: $i > $i ).

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_Ocomm__ring__1,type,
    class_Ring__and__Field_Ocomm__ring__1: $i > $o ).

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

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

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

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

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

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

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_Ring__and__Field_Oring__no__zero__divisors,type,
    class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).

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

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

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

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

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

tff(v_sko__local__XpCons__Xhyps__1,type,
    v_sko__local__XpCons__Xhyps__1: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_4916,axiom,
    c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
    file(unknown,unknown) ).

tff(f_4915,axiom,
    c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
    file(unknown,unknown) ).

tff(c_1326,plain,
    c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
    inference(cnfTransformation,[status(thm)],[f_4916]) ).

tff(c_1324,plain,
    c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
    inference(cnfTransformation,[status(thm)],[f_4915]) ).

tff(c_1674,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1326,c_1324]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ALG414-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.09  % 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
% 0.08/0.28  % Computer : n004.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Thu Aug  3 20:17:56 EDT 2023
% 0.08/0.29  % CPUTime  : 
% 8.28/3.18  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.28/3.18  
% 8.28/3.18  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.63/3.21  
% 8.63/3.21  Inference rules
% 8.63/3.21  ----------------------
% 8.63/3.21  #Ref     : 0
% 8.63/3.21  #Sup     : 0
% 8.63/3.21  #Fact    : 0
% 8.63/3.21  #Define  : 0
% 8.63/3.21  #Split   : 0
% 8.63/3.21  #Chain   : 0
% 8.63/3.21  #Close   : 0
% 8.63/3.21  
% 8.63/3.21  Ordering : KBO
% 8.63/3.21  
% 8.63/3.21  Simplification rules
% 8.63/3.21  ----------------------
% 8.63/3.21  #Subsume      : 835
% 8.63/3.21  #Demod        : 1
% 8.63/3.21  #Tautology    : 0
% 8.63/3.21  #SimpNegUnit  : 0
% 8.63/3.21  #BackRed      : 0
% 8.63/3.21  
% 8.63/3.21  #Partial instantiations: 0
% 8.63/3.21  #Strategies tried      : 1
% 8.63/3.21  
% 8.63/3.21  Timing (in seconds)
% 8.63/3.21  ----------------------
% 8.63/3.21  Preprocessing        : 1.83
% 8.63/3.21  Parsing              : 1.16
% 8.63/3.21  CNF conversion       : 0.12
% 8.63/3.21  Main loop            : 0.26
% 8.63/3.21  Inferencing          : 0.00
% 8.63/3.21  Reduction            : 0.14
% 8.63/3.21  Demodulation         : 0.09
% 8.63/3.21  BG Simplification    : 0.14
% 8.63/3.21  Subsumption          : 0.08
% 8.63/3.21  Abstraction          : 0.03
% 8.63/3.21  MUC search           : 0.00
% 8.63/3.21  Cooper               : 0.00
% 8.63/3.21  Total                : 2.13
% 8.63/3.21  Index Insertion      : 0.00
% 8.63/3.21  Index Deletion       : 0.00
% 8.63/3.21  Index Matching       : 0.00
% 8.63/3.21  BG Taut test         : 0.00
%------------------------------------------------------------------------------