TSTP Solution File: SWW179+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW179+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n005.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 11:06:48 EDT 2023
% Result : Theorem 282.00s 239.37s
% Output : CNFRefutation 282.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 229
% Syntax : Number of formulae : 348 ( 88 unt; 184 typ; 0 def)
% Number of atoms : 277 ( 98 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 205 ( 92 ~; 71 |; 6 &)
% ( 7 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 307 ( 173 >; 134 *; 0 +; 0 <<)
% Number of predicates : 79 ( 77 usr; 1 prp; 0-3 aty)
% Number of functors : 107 ( 107 usr; 11 con; 0-5 aty)
% Number of variables : 162 (; 161 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Orderings_Oord__class_Oless__eq > c_Orderings_Oord__class_Oless > c_SEQ_Oincseq > c_SEQ_Odecseq > c_SEQ_OBseq > c_Polynomial_Opos__poly > hBOOL > class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct > class_Rings_Ozero__neq__one > class_Rings_Osemiring__0 > class_Rings_Osemiring > class_Rings_Oring__no__zero__divisors > class_Rings_Oring__1__no__zero__divisors > class_Rings_Oring__1 > class_Rings_Oring > class_Rings_Oordered__semiring > class_Rings_Oordered__ring__abs > class_Rings_Oordered__ring > class_Rings_Oordered__comm__semiring > class_Rings_Oordered__cancel__semiring > class_Rings_Ono__zero__divisors > class_Rings_Omult__zero > class_Rings_Olinordered__semiring__strict > class_Rings_Olinordered__semiring__1__strict > class_Rings_Olinordered__semiring__1 > class_Rings_Olinordered__semiring > class_Rings_Olinordered__semidom > class_Rings_Olinordered__ring__strict > class_Rings_Olinordered__ring > class_Rings_Olinordered__idom > class_Rings_Olinordered__comm__semiring__strict > class_Rings_Oidom > class_Rings_Ocomm__semiring__1 > class_Rings_Ocomm__semiring__0 > class_Rings_Ocomm__semiring > class_Rings_Ocomm__ring__1 > class_Rings_Ocomm__ring > class_RealVector_Oreal__normed__vector > class_RealVector_Oreal__normed__div__algebra > class_RealVector_Oreal__normed__algebra__1 > class_RealVector_Oreal__normed__algebra > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Oord > class_Orderings_Olinorder > class_Lattices_Oboolean__algebra > class_Lattices_Oab__semigroup__idem__mult > class_Int_Oring__char__0 > class_Groups_Ozero > class_Groups_Ouminus > class_Groups_Osgn__if > class_Groups_Oordered__comm__monoid__add > class_Groups_Oordered__cancel__ab__semigroup__add > class_Groups_Oordered__ab__semigroup__add__imp__le > class_Groups_Oordered__ab__semigroup__add > class_Groups_Oordered__ab__group__add__abs > class_Groups_Oordered__ab__group__add > class_Groups_Oone > class_Groups_Omonoid__mult > class_Groups_Omonoid__add > class_Groups_Ominus > class_Groups_Olinordered__ab__group__add > class_Groups_Ogroup__add > class_Groups_Ocomm__monoid__mult > class_Groups_Ocomm__monoid__add > class_Groups_Ocancel__semigroup__add > class_Groups_Ocancel__comm__monoid__add > class_Groups_Ocancel__ab__semigroup__add > class_Groups_Oabs__if > class_Groups_Oab__semigroup__mult > class_Groups_Oab__semigroup__add > class_Groups_Oab__group__add > class_Fields_Olinordered__field__inverse__zero > class_Fields_Olinordered__field > class_Fields_Ofield > class_Divides_Osemiring__div > c_Polynomial_Opoly__rec > c_Power_Opower_Opower > c_Polynomial_Oorder > c_Groups_Oplus__class_Oplus > c_Groups_Ominus__class_Ominus > c_Divides_Odiv__class_Odiv > tc_fun > hAPP > c_SMT_Oz3div > c_RealVector_Onorm__class_Onorm > c_RealDef_Oreal > c_Polynomial_Opoly > c_Polynomial_Ocoeff > c_Nat__Transfer_Otsub > c_Groups_Ouminus__class_Ouminus > c_Groups_Osgn__class_Osgn > c_Groups_Oabs__class_Oabs > #nlpp > tc_Polynomial_Opoly > c_Transcendental_Oln > c_RComplete_Onatfloor > c_RComplete_Onatceiling > c_Power_Opower__class_Opower > c_Nat_OSuc > c_Groups_Ozero__class_Ozero > c_Groups_Otimes__class_Otimes > c_Groups_Oone__class_Oone > v_r > v_m____ > v_cs____ > v_c____ > tc_RealDef_Oreal > tc_Nat_Onat > tc_Int_Oint > tc_HOL_Obool > tc_Complex_Ocomplex > #skF_62 > #skF_33 > #skF_7 > #skF_24 > #skF_69 > #skF_35 > #skF_11 > #skF_64 > #skF_21 > #skF_41 > #skF_6 > #skF_17 > #skF_57 > #skF_26 > #skF_44 > #skF_53 > #skF_18 > #skF_47 > #skF_20 > #skF_56 > #skF_63 > #skF_72 > #skF_32 > #skF_67 > #skF_22 > #skF_66 > #skF_52 > #skF_31 > #skF_38 > #skF_65 > #skF_13 > #skF_39 > #skF_34 > #skF_30 > #skF_48 > #skF_25 > #skF_68 > #skF_60 > #skF_19 > #skF_45 > #skF_10 > #skF_2 > #skF_3 > #skF_37 > #skF_42 > #skF_8 > #skF_51 > #skF_4 > #skF_49 > #skF_28 > #skF_71 > #skF_15 > #skF_40 > #skF_23 > #skF_14 > #skF_59 > #skF_58 > #skF_50 > #skF_54 > #skF_55 > #skF_46 > #skF_12 > #skF_36 > #skF_43 > #skF_29 > #skF_27 > #skF_61 > #skF_1 > #skF_9 > #skF_5 > #skF_70 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff(class_Groups_Olinordered__ab__group__add,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(c_Transcendental_Oln,type,
c_Transcendental_Oln: $i > $i ).
tff(class_Rings_Ocomm__semiring__1,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(c_Orderings_Oord__class_Oless__eq,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(class_Int_Oring__char__0,type,
class_Int_Oring__char__0: $i > $o ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff(class_Groups_Omonoid__add,type,
class_Groups_Omonoid__add: $i > $o ).
tff(class_Rings_Oordered__ring,type,
class_Rings_Oordered__ring: $i > $o ).
tff('#skF_69',type,
'#skF_69': ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(class_Rings_Olinordered__semiring__strict,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(class_Groups_Oabs__if,type,
class_Groups_Oabs__if: $i > $o ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i ) > $i ).
tff(c_RealDef_Oreal,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff(class_Rings_Osemiring,type,
class_Rings_Osemiring: $i > $o ).
tff(c_Nat__Transfer_Otsub,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(tc_HOL_Obool,type,
tc_HOL_Obool: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff(class_Rings_Ocomm__ring__1,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(class_Groups_Oordered__ab__semigroup__add__imp__le,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(class_Groups_Ogroup__add,type,
class_Groups_Ogroup__add: $i > $o ).
tff(tc_Nat_Onat,type,
tc_Nat_Onat: $i ).
tff(class_Groups_Oone,type,
class_Groups_Oone: $i > $o ).
tff(class_Rings_Olinordered__semiring,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(class_RealVector_Oreal__normed__algebra__1,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(class_Groups_Ocancel__comm__monoid__add,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff(class_Groups_Ocomm__monoid__add,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(c_SEQ_Odecseq,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(c_Groups_Otimes__class_Otimes,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(class_Groups_Omonoid__mult,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(tc_Polynomial_Opoly,type,
tc_Polynomial_Opoly: $i > $i ).
tff(class_Rings_Ocomm__ring,type,
class_Rings_Ocomm__ring: $i > $o ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff(class_Rings_Olinordered__comm__semiring__strict,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(class_Groups_Oordered__ab__group__add,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i * $i ) > $i ).
tff(c_Groups_Oone__class_Oone,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i ) > $i ).
tff(tc_Int_Oint,type,
tc_Int_Oint: $i ).
tff('#skF_72',type,
'#skF_72': ( $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff('#skF_67',type,
'#skF_67': ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $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(class_Rings_Olinordered__ring,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(c_Power_Opower_Opower,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(tc_RealDef_Oreal,type,
tc_RealDef_Oreal: $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i * $i ) > $i ).
tff(class_Rings_Ocomm__semiring__0,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff('#skF_52',type,
'#skF_52': ( $i * $i * $i ) > $i ).
tff(class_Groups_Ocomm__monoid__mult,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i ) > $i ).
tff(c_RComplete_Onatfloor,type,
c_RComplete_Onatfloor: $i > $i ).
tff(class_Rings_Oordered__comm__semiring,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(class_Rings_Olinordered__semidom,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff(v_cs____,type,
v_cs____: $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i ) > $i ).
tff(c_SEQ_Oincseq,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(class_Rings_Ocomm__semiring,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(class_Groups_Oordered__ab__group__add__abs,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(class_Groups_Ocancel__semigroup__add,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(class_Rings_Oordered__cancel__semiring,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff(class_Groups_Ominus,type,
class_Groups_Ominus: $i > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i * $i ) > $i ).
tff('#skF_60',type,
'#skF_60': $i > $i ).
tff(class_Fields_Ofield,type,
class_Fields_Ofield: $i > $o ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i ) > $i ).
tff(class_Rings_Olinordered__semiring__1,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(c_Groups_Osgn__class_Osgn,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(class_Rings_Oordered__ring__abs,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(class_Groups_Oordered__comm__monoid__add,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(c_Groups_Ominus__class_Ominus,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(c_Orderings_Oord__class_Oless,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_Groups_Ozero__class_Ozero,type,
c_Groups_Ozero__class_Ozero: $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_Groups_Osgn__if,type,
class_Groups_Osgn__if: $i > $o ).
tff(class_Rings_Oring__1,type,
class_Rings_Oring__1: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(class_Power_Opower,type,
class_Power_Opower: $i > $o ).
tff(v_m____,type,
v_m____: $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(c_Polynomial_Opos__poly,type,
c_Polynomial_Opos__poly: ( $i * $i ) > $o ).
tff(class_Rings_Osemiring__0,type,
class_Rings_Osemiring__0: $i > $o ).
tff(class_Rings_Omult__zero,type,
class_Rings_Omult__zero: $i > $o ).
tff(c_Groups_Oplus__class_Oplus,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Oord,type,
class_Orderings_Oord: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(class_RealVector_Oreal__normed__vector,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(class_Groups_Oab__semigroup__add,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(class_Fields_Olinordered__field,type,
class_Fields_Olinordered__field: $i > $o ).
tff(c_RComplete_Onatceiling,type,
c_RComplete_Onatceiling: $i > $i ).
tff(c_Groups_Oabs__class_Oabs,type,
c_Groups_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(v_r,type,
v_r: $i ).
tff(c_Polynomial_Opoly,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(tc_Complex_Ocomplex,type,
tc_Complex_Ocomplex: $i ).
tff(c_Divides_Odiv__class_Odiv,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(class_Groups_Ocancel__ab__semigroup__add,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(class_Rings_Oidom,type,
class_Rings_Oidom: $i > $o ).
tff(c_SMT_Oz3div,type,
c_SMT_Oz3div: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i * $i * $i ) > $i ).
tff(class_Groups_Ozero,type,
class_Groups_Ozero: $i > $o ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(class_Lattices_Oab__semigroup__idem__mult,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(class_Rings_Oring__no__zero__divisors,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff('#skF_71',type,
'#skF_71': ( $i * $i * $i ) > $i ).
tff(class_Rings_Oring,type,
class_Rings_Oring: $i > $o ).
tff(c_Groups_Ouminus__class_Ouminus,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i ) > $i ).
tff(class_Rings_Olinordered__semiring__1__strict,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff(c_Nat_OSuc,type,
c_Nat_OSuc: $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(c_RealVector_Onorm__class_Onorm,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(c_SEQ_OBseq,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(v_c____,type,
v_c____: $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_Groups_Oab__semigroup__mult,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(class_Groups_Oordered__cancel__ab__semigroup__add,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff('#skF_59',type,
'#skF_59': ( $i * $i ) > $i ).
tff(class_Rings_Ozero__neq__one,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(c_Polynomial_Ocoeff,type,
c_Polynomial_Ocoeff: ( $i * $i ) > $i ).
tff(class_Rings_Ono__zero__divisors,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff('#skF_58',type,
'#skF_58': ( $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
tff('#skF_55',type,
'#skF_55': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i ) > $i ).
tff(c_Power_Opower__class_Opower,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(class_Rings_Oordered__semiring,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(class_Rings_Olinordered__idom,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(class_Fields_Olinordered__field__inverse__zero,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff(class_Groups_Oab__group__add,type,
class_Groups_Oab__group__add: $i > $o ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff(c_Polynomial_Oorder,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(class_Rings_Olinordered__ring__strict,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(class_Rings_Oring__1__no__zero__divisors,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff('#skF_61',type,
'#skF_61': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(class_Groups_Oordered__ab__semigroup__add,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(c_Polynomial_Opoly__rec,type,
c_Polynomial_Opoly__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_70',type,
'#skF_70': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(class_Groups_Ouminus,type,
class_Groups_Ouminus: $i > $o ).
tff(f_5814,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
tff(f_33,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__0960_A_060_061_Acmod_Ac_096) ).
tff(f_1877,axiom,
! [V_y_2,V_x_2,T_a] :
( class_Orderings_Olinorder(T_a)
=> ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
<=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__not__less) ).
tff(f_5843,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
tff(f_5860,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
tff(f_5858,axiom,
class_Groups_Omonoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Omonoid__add) ).
tff(f_3513,axiom,
! [V_y,V_x] : ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_x,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__diff__def) ).
tff(f_1026,axiom,
! [V_a,T_a] :
( class_Groups_Omonoid__add(T_a)
=> ( c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0__left) ).
tff(f_2981,axiom,
! [V_y_2,V_x_2,T_a] :
( class_Groups_Ogroup__add(T_a)
=> ( ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) )
<=> ( V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__eq__0__iff) ).
tff(f_5851,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
tff(f_1694,axiom,
! [V_c,V_a,T_a] :
( class_Rings_Ocomm__semiring__1(T_a)
=> ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f_2783,axiom,
! [V_b,V_a,T_a] :
( class_Groups_Ogroup__add(T_a)
=> ( c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__diff__cancel) ).
tff(f_2864,axiom,
! [V_x,T_a] :
( class_RealVector_Oreal__normed__vector(T_a)
=> ( c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_RealVector_Onorm__class_Onorm(T_a,V_x) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__minus__cancel) ).
tff(f_96,axiom,
! [V_x,T_a] :
( class_RealVector_Oreal__normed__vector(T_a)
=> ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).
tff(f_5819,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
tff(f_5807,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
tff(f_3622,axiom,
! [V_n_2] :
( ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
<=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__zero__iff) ).
tff(f_2418,axiom,
! [V_s,V_r] : ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_r,V_s) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_s)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__diff__def) ).
tff(f_3073,axiom,
! [V_a_2,V_x_2] :
( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
<=> ( V_x_2 = V_a_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__add__minus__iff) ).
tff(f_525,axiom,
! [V_w,V_z] : ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
tff(f_6116,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_3561,axiom,
! [V_x] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> ( c_RComplete_Onatceiling(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__neg) ).
tff(f_36,axiom,
! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__add__one__gt__zero) ).
tff(f_5788,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
tff(f_968,axiom,
? [B_m] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
& ! [B_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),B_z)),B_m) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons) ).
tff(f_2132,axiom,
! [V_x] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
=> ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sgn__pos) ).
tff(f_2887,axiom,
! [V_x,T_a] :
( class_RealVector_Oreal__normed__vector(T_a)
=> ( c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__minus) ).
tff(f_5806,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
tff(f_3387,axiom,
! [V_a_2,T_a] :
( class_Rings_Olinordered__idom(T_a)
=> ( ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) )
<=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__1__neg) ).
tff(f_5781,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
tff(f_3244,axiom,
! [V_r] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) ) )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__abs__def) ).
tff(f_1293,axiom,
! [V_a,T_a] :
( class_Groups_Oordered__ab__group__add__abs(T_a)
=> ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__not__less__zero) ).
tff(f_5827,axiom,
class_Groups_Osgn__if(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Osgn__if) ).
tff(f_3381,axiom,
! [V_x,T_a] :
( class_Groups_Osgn__if(T_a)
=> ( ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) )
=> ( c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) )
& ( ( V_x != c_Groups_Ozero__class_Ozero(T_a) )
=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
=> ( c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) )
& ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
=> ( c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__if) ).
tff(f_5783,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
tff(f_5796,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
tff(f_838,axiom,
! [V_a,T_a] :
( class_Rings_Olinordered__semidom(T_a)
=> c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__one) ).
tff(f_5822,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
tff(f_1857,axiom,
! [V_y_2,V_x_2,T_a] :
( class_Orderings_Oorder(T_a)
=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
<=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
& ( V_x_2 != V_y_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__le) ).
tff(f_1498,axiom,
! [V_z,V_x,V_y,T_a] :
( class_Orderings_Oorder(T_a)
=> ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
=> ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
=> c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I10_J) ).
tff(f_1248,axiom,
! [V_b,V_a,T_a] :
( class_Groups_Oordered__comm__monoid__add(T_a)
=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__pos__pos) ).
tff(f_3640,axiom,
! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__natceiling__ge) ).
tff(f_132,axiom,
! [V_y_2,V_x_2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
& ( V_x_2 != V_y_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
tff(f_3557,axiom,
! [V_x] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> ( c_RComplete_Onatfloor(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__neg) ).
tff(f_3692,axiom,
! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__natfloor__gt__diff__one) ).
tff(c_3309,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5814]) ).
tff(c_4,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_19425,plain,
! [T_a_3485,V_x_2_3486,V_y_2_3487] :
( ~ c_Orderings_Oord__class_Oless(T_a_3485,V_x_2_3486,V_y_2_3487)
| ~ c_Orderings_Oord__class_Oless__eq(T_a_3485,V_y_2_3487,V_x_2_3486)
| ~ class_Orderings_Olinorder(T_a_3485) ),
inference(cnfTransformation,[status(thm)],[f_1877]) ).
tff(c_19596,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_4,c_19425]) ).
tff(c_19800,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_19596]) ).
tff(c_3367,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_5843]) ).
tff(c_3401,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_5860]) ).
tff(c_3397,plain,
class_Groups_Omonoid__add(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_5858]) ).
tff(c_14913,plain,
! [V_x_3388,V_y_3389] : ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_x_3388,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y_3389)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_x_3388,V_y_3389) ),
inference(cnfTransformation,[status(thm)],[f_3513]) ).
tff(c_428,plain,
! [T_a_446,V_a_445] :
( ( c_Groups_Oplus__class_Oplus(T_a_446,c_Groups_Ozero__class_Ozero(T_a_446),V_a_445) = V_a_445 )
| ~ class_Groups_Omonoid__add(T_a_446) ),
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_14930,plain,
! [V_y_3389] :
( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),V_y_3389) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y_3389) )
| ~ class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_14913,c_428]) ).
tff(c_14984,plain,
! [V_y_3389] : ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),V_y_3389) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y_3389) ),
inference(demodulation,[status(thm),theory(equality)],[c_3397,c_14930]) ).
tff(c_1393,plain,
! [T_a_1495,V_x_2_1494] :
( ( c_Groups_Oplus__class_Oplus(T_a_1495,V_x_2_1494,c_Groups_Ouminus__class_Ouminus(T_a_1495,V_x_2_1494)) = c_Groups_Ozero__class_Ozero(T_a_1495) )
| ~ class_Groups_Ogroup__add(T_a_1495) ),
inference(cnfTransformation,[status(thm)],[f_2981]) ).
tff(c_3383,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_5851]) ).
tff(c_12320,plain,
! [T_a_3344,V_c_3345,V_a_3346] :
( ( c_Groups_Oplus__class_Oplus(T_a_3344,V_c_3345,V_a_3346) = c_Groups_Oplus__class_Oplus(T_a_3344,V_a_3346,V_c_3345) )
| ~ class_Rings_Ocomm__semiring__1(T_a_3344) ),
inference(cnfTransformation,[status(thm)],[f_1694]) ).
tff(c_12333,plain,
! [V_c_3345,V_a_3346] : ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_c_3345,V_a_3346) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_a_3346,V_c_3345) ),
inference(resolution,[status(thm)],[c_3383,c_12320]) ).
tff(c_22982,plain,
! [T_a_3549,V_a_3550,V_b_3551] :
( ( c_Groups_Ominus__class_Ominus(T_a_3549,c_Groups_Oplus__class_Oplus(T_a_3549,V_a_3550,V_b_3551),V_b_3551) = V_a_3550 )
| ~ class_Groups_Ogroup__add(T_a_3549) ),
inference(cnfTransformation,[status(thm)],[f_2783]) ).
tff(c_23081,plain,
! [V_c_3345,V_a_3346] :
( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_c_3345,V_a_3346),V_c_3345) = V_a_3346 )
| ~ class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_12333,c_22982]) ).
tff(c_589844,plain,
! [V_c_1772236,V_a_1772237] : ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_c_1772236,V_a_1772237),V_c_1772236) = V_a_1772237 ),
inference(demodulation,[status(thm),theory(equality)],[c_3401,c_23081]) ).
tff(c_592108,plain,
! [V_a_1772265,V_c_1772266] : ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_a_1772265,V_c_1772266),V_c_1772266) = V_a_1772265 ),
inference(superposition,[status(thm),theory(equality)],[c_12333,c_589844]) ).
tff(c_592143,plain,
! [V_x_2_1494] :
( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_x_2_1494)) = V_x_2_1494 )
| ~ class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_1393,c_592108]) ).
tff(c_592478,plain,
! [V_x_2_1772269] : ( c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_x_2_1772269)) = V_x_2_1772269 ),
inference(demodulation,[status(thm),theory(equality)],[c_3401,c_14984,c_592143]) ).
tff(c_1327,plain,
! [T_a_1448,V_x_1447] :
( ( c_RealVector_Onorm__class_Onorm(T_a_1448,c_Groups_Ouminus__class_Ouminus(T_a_1448,V_x_1447)) = c_RealVector_Onorm__class_Onorm(T_a_1448,V_x_1447) )
| ~ class_RealVector_Oreal__normed__vector(T_a_1448) ),
inference(cnfTransformation,[status(thm)],[f_2864]) ).
tff(c_592496,plain,
! [V_x_2_1772269] :
( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_x_2_1772269)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x_2_1772269) )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_592478,c_1327]) ).
tff(c_600055,plain,
! [V_x_2_1772395] : ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_x_2_1772395)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x_2_1772395) ),
inference(demodulation,[status(thm),theory(equality)],[c_3367,c_592496]) ).
tff(c_38,plain,
! [T_a_29,V_x_28] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a_29,V_x_28),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(T_a_29) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_600075,plain,
! [V_x_2_1772395] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x_2_1772395),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_600055,c_38]) ).
tff(c_600116,plain,
! [V_x_2_1772395] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x_2_1772395),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(demodulation,[status(thm),theory(equality)],[c_3367,c_600075]) ).
tff(c_3319,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5819]) ).
tff(c_3295,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5807]) ).
tff(c_12335,plain,
! [V_c_3345,V_a_3346] : ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_c_3345,V_a_3346) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a_3346,V_c_3345) ),
inference(resolution,[status(thm)],[c_3295,c_12320]) ).
tff(c_23063,plain,
! [V_c_3345,V_a_3346] :
( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_c_3345,V_a_3346),V_c_3345) = V_a_3346 )
| ~ class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_12335,c_22982]) ).
tff(c_23183,plain,
! [V_c_3345,V_a_3346] : ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_c_3345,V_a_3346),V_c_3345) = V_a_3346 ),
inference(demodulation,[status(thm),theory(equality)],[c_3319,c_23063]) ).
tff(c_1838,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_3622]) ).
tff(c_1072,plain,
! [V_r_1176,V_s_1175] : ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r_1176,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_s_1175)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_r_1176,V_s_1175) ),
inference(cnfTransformation,[status(thm)],[f_2418]) ).
tff(c_1451,plain,
! [V_x_2_1552,V_a_2_1551] :
( ( V_x_2_1552 = V_a_2_1551 )
| ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2_1552,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2_1551)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(cnfTransformation,[status(thm)],[f_3073]) ).
tff(c_3680,plain,
! [V_x_2_1552,V_a_2_1551] :
( ( V_x_2_1552 = V_a_2_1551 )
| ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2_1552,V_a_2_1551) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1072,c_1451]) ).
tff(c_23027,plain,
! [V_a_3550,V_b_3551] :
( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a_3550,V_b_3551) = V_b_3551 )
| ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != V_a_3550 )
| ~ class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_22982,c_3680]) ).
tff(c_24320,plain,
! [V_a_3573,V_b_3574] :
( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a_3573,V_b_3574) = V_b_3574 )
| ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != V_a_3573 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3319,c_23027]) ).
tff(c_206,plain,
! [V_z_209,V_w_208] : ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_209),V_w_208) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w_208),V_z_209) ),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_3549,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(cnfTransformation,[status(thm)],[f_6116]) ).
tff(c_3690,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)))),
inference(demodulation,[status(thm),theory(equality)],[c_206,c_3549]) ).
tff(c_24415,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)))
| ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(superposition,[status(thm),theory(equality)],[c_24320,c_3690]) ).
tff(c_24561,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(splitLeft,[status(thm)],[c_24415]) ).
tff(c_21706,plain,
! [T_a_3530,V_y_2_3531,V_x_2_3532] :
( c_Orderings_Oord__class_Oless__eq(T_a_3530,V_y_2_3531,V_x_2_3532)
| c_Orderings_Oord__class_Oless(T_a_3530,V_x_2_3532,V_y_2_3531)
| ~ class_Orderings_Olinorder(T_a_3530) ),
inference(cnfTransformation,[status(thm)],[f_1877]) ).
tff(c_1795,plain,
! [V_x_1811] :
( ( c_RComplete_Onatceiling(V_x_1811) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_1811,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_3561]) ).
tff(c_21782,plain,
! [V_y_2_3531] :
( ( c_RComplete_Onatceiling(V_y_2_3531) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2_3531)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_21706,c_1795]) ).
tff(c_602311,plain,
! [V_y_2_1772427] :
( ( c_RComplete_Onatceiling(V_y_2_1772427) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2_1772427) ),
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_21782]) ).
tff(c_8,plain,
! [V_x_4] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x_4))),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_24995,plain,
! [V_a_3346] : ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a_3346,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = V_a_3346 ),
inference(superposition,[status(thm),theory(equality)],[c_12335,c_24320]) ).
tff(c_24997,plain,
! [V_a_3581,V_c_3582] :
( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a_3581,V_c_3582) = V_a_3581 )
| ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != V_c_3582 ) ),
inference(superposition,[status(thm),theory(equality)],[c_12335,c_24320]) ).
tff(c_25091,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
| ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(superposition,[status(thm),theory(equality)],[c_24997,c_3690]) ).
tff(c_25325,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(splitLeft,[status(thm)],[c_25091]) ).
tff(c_3257,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5788]) ).
tff(c_392,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_968]) ).
tff(c_22858,plain,
! [V_x_3546] :
( ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x_3546) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_3546) ),
inference(cnfTransformation,[status(thm)],[f_2132]) ).
tff(c_22921,plain,
c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,'#skF_2') = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_392,c_22858]) ).
tff(c_58859,plain,
! [T_a_4037,V_x_4038] :
( ( c_Groups_Ouminus__class_Ouminus(T_a_4037,c_Groups_Osgn__class_Osgn(T_a_4037,V_x_4038)) = c_Groups_Osgn__class_Osgn(T_a_4037,c_Groups_Ouminus__class_Ouminus(T_a_4037,V_x_4038)) )
| ~ class_RealVector_Oreal__normed__vector(T_a_4037) ),
inference(cnfTransformation,[status(thm)],[f_2887]) ).
tff(c_59053,plain,
( ( c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,'#skF_2')) )
| ~ class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_22921,c_58859]) ).
tff(c_59119,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,'#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_3257,c_59053]) ).
tff(c_3293,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5806]) ).
tff(c_131525,plain,
! [T_a_278229,V_a_2_278230] :
( c_Orderings_Oord__class_Oless(T_a_278229,V_a_2_278230,c_Groups_Ozero__class_Ozero(T_a_278229))
| ( c_Groups_Ouminus__class_Ouminus(T_a_278229,c_Groups_Oone__class_Oone(T_a_278229)) != c_Groups_Osgn__class_Osgn(T_a_278229,V_a_2_278230) )
| ~ class_Rings_Olinordered__idom(T_a_278229) ),
inference(cnfTransformation,[status(thm)],[f_3387]) ).
tff(c_3243,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5781]) ).
tff(c_10178,plain,
! [V_r_3278] :
( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r_3278) = V_r_3278 )
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r_3278,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_3244]) ).
tff(c_542,plain,
! [T_a_580,V_a_579] :
( ~ c_Orderings_Oord__class_Oless(T_a_580,c_Groups_Oabs__class_Oabs(T_a_580,V_a_579),c_Groups_Ozero__class_Ozero(T_a_580))
| ~ class_Groups_Oordered__ab__group__add__abs(T_a_580) ),
inference(cnfTransformation,[status(thm)],[f_1293]) ).
tff(c_10182,plain,
! [V_a_579] :
( ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
| ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_579)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_579) ) ),
inference(resolution,[status(thm)],[c_10178,c_542]) ).
tff(c_10230,plain,
! [V_a_3279] : ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_3279)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_3279) ),
inference(demodulation,[status(thm),theory(equality)],[c_3243,c_10182]) ).
tff(c_10241,plain,
! [V_a_3279] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_3279),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_10230,c_542]) ).
tff(c_10275,plain,
! [V_a_3279] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_3279),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(demodulation,[status(thm),theory(equality)],[c_3243,c_10241]) ).
tff(c_131742,plain,
! [V_a_3279] :
( ( c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) != c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_3279)) )
| ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_131525,c_10275]) ).
tff(c_132177,plain,
! [V_a_3279] : ( c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) != c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_3279)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3293,c_131742]) ).
tff(c_316953,plain,
! [V_a_3279] : ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,'#skF_2')) != c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a_3279)) ),
inference(demodulation,[status(thm),theory(equality)],[c_59119,c_132177]) ).
tff(c_3335,plain,
class_Groups_Osgn__if(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5827]) ).
tff(c_1645,plain,
! [T_a_1678,V_x_1677] :
( ( c_Groups_Ouminus__class_Ouminus(T_a_1678,c_Groups_Oone__class_Oone(T_a_1678)) = c_Groups_Osgn__class_Osgn(T_a_1678,V_x_1677) )
| c_Orderings_Oord__class_Oless(T_a_1678,c_Groups_Ozero__class_Ozero(T_a_1678),V_x_1677)
| ( c_Groups_Ozero__class_Ozero(T_a_1678) = V_x_1677 )
| ~ class_Groups_Osgn__if(T_a_1678) ),
inference(cnfTransformation,[status(thm)],[f_3381]) ).
tff(c_3247,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5783]) ).
tff(c_3273,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5796]) ).
tff(c_15190,plain,
! [T_a_3395,V_a_3396] :
( c_Orderings_Oord__class_Oless(T_a_3395,V_a_3396,c_Groups_Oplus__class_Oplus(T_a_3395,V_a_3396,c_Groups_Oone__class_Oone(T_a_3395)))
| ~ class_Rings_Olinordered__semidom(T_a_3395) ),
inference(cnfTransformation,[status(thm)],[f_838]) ).
tff(c_15211,plain,
! [V_a_3346] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a_3346,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_a_3346))
| ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_12335,c_15190]) ).
tff(c_15292,plain,
! [V_a_3346] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a_3346,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_a_3346)),
inference(demodulation,[status(thm),theory(equality)],[c_3273,c_15211]) ).
tff(c_3325,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_5822]) ).
tff(c_25088,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r))))
| ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(superposition,[status(thm),theory(equality)],[c_24997,c_3690]) ).
tff(c_25885,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(splitLeft,[status(thm)],[c_25088]) ).
tff(c_52349,plain,
! [T_a_3973,V_x_2_3974,V_y_2_3975] :
( c_Orderings_Oord__class_Oless(T_a_3973,V_x_2_3974,V_y_2_3975)
| ( V_y_2_3975 = V_x_2_3974 )
| ~ c_Orderings_Oord__class_Oless__eq(T_a_3973,V_x_2_3974,V_y_2_3975)
| ~ class_Orderings_Oorder(T_a_3973) ),
inference(cnfTransformation,[status(thm)],[f_1857]) ).
tff(c_52586,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))
| ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_4,c_52349]) ).
tff(c_52853,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))
| ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3325,c_52586]) ).
tff(c_52854,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
inference(negUnitSimplification,[status(thm)],[c_25885,c_52853]) ).
tff(c_129594,plain,
! [T_a_275549,V_z_275550,V_x_275551,V_y_275552] :
( c_Orderings_Oord__class_Oless(T_a_275549,V_z_275550,V_x_275551)
| ~ c_Orderings_Oord__class_Oless(T_a_275549,V_z_275550,V_y_275552)
| ~ c_Orderings_Oord__class_Oless(T_a_275549,V_y_275552,V_x_275551)
| ~ class_Orderings_Oorder(T_a_275549) ),
inference(cnfTransformation,[status(thm)],[f_1498]) ).
tff(c_129666,plain,
! [V_x_275551] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_275551)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),V_x_275551)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_52854,c_129594]) ).
tff(c_130647,plain,
! [V_x_276668] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_276668)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),V_x_276668) ),
inference(demodulation,[status(thm),theory(equality)],[c_3325,c_129666]) ).
tff(c_130821,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))),
inference(resolution,[status(thm)],[c_15292,c_130647]) ).
tff(c_572259,plain,
! [T_a_1769996,V_a_1769997,V_b_1769998] :
( c_Orderings_Oord__class_Oless(T_a_1769996,c_Groups_Ozero__class_Ozero(T_a_1769996),c_Groups_Oplus__class_Oplus(T_a_1769996,V_a_1769997,V_b_1769998))
| ~ c_Orderings_Oord__class_Oless(T_a_1769996,c_Groups_Ozero__class_Ozero(T_a_1769996),V_b_1769998)
| ~ c_Orderings_Oord__class_Oless(T_a_1769996,c_Groups_Ozero__class_Ozero(T_a_1769996),V_a_1769997)
| ~ class_Groups_Oordered__comm__monoid__add(T_a_1769996) ),
inference(cnfTransformation,[status(thm)],[f_1248]) ).
tff(c_572483,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_572259,c_3690]) ).
tff(c_573136,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r))),
inference(demodulation,[status(thm),theory(equality)],[c_3247,c_130821,c_572483]) ).
tff(c_573374,plain,
( ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
| ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_Groups_Osgn__if(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_1645,c_573136]) ).
tff(c_573433,plain,
( ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r))) = c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,'#skF_2')) )
| ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3335,c_59119,c_573374]) ).
tff(c_573435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25325,c_316953,c_573433]) ).
tff(c_573437,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(splitRight,[status(thm)],[c_25088]) ).
tff(c_573442,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)))),
inference(demodulation,[status(thm),theory(equality)],[c_573437,c_3690]) ).
tff(c_573446,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_r)))),
inference(demodulation,[status(thm),theory(equality)],[c_24995,c_573442]) ).
tff(c_588878,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_573446]) ).
tff(c_588879,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))),
inference(splitRight,[status(thm)],[c_25091]) ).
tff(c_602375,plain,
c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(resolution,[status(thm)],[c_602311,c_588879]) ).
tff(c_1856,plain,
! [V_x_1853] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_1853,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_1853))),
inference(cnfTransformation,[status(thm)],[f_3640]) ).
tff(c_602785,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(superposition,[status(thm),theory(equality)],[c_602375,c_1856]) ).
tff(c_602799,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(demodulation,[status(thm),theory(equality)],[c_1838,c_602785]) ).
tff(c_58,plain,
! [V_x_2_42,V_y_2_41] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2_42,V_y_2_41)
| ( V_y_2_41 = V_x_2_42 )
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2_42,V_y_2_41) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_603481,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(resolution,[status(thm)],[c_602799,c_58]) ).
tff(c_603504,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(negUnitSimplification,[status(thm)],[c_24561,c_603481]) ).
tff(c_62,plain,
! [V_x_2_42,V_y_2_41] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2_42,V_y_2_41)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2_42,V_y_2_41) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_9754,plain,
! [V_x_3264] :
( ( c_RComplete_Onatfloor(V_x_3264) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_3264,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_3557]) ).
tff(c_9781,plain,
! [V_x_2_42] :
( ( c_RComplete_Onatfloor(V_x_2_42) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2_42,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(resolution,[status(thm)],[c_62,c_9754]) ).
tff(c_604184,plain,
c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(resolution,[status(thm)],[c_603504,c_9781]) ).
tff(c_615917,plain,
! [V_x_1772605] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_1772605,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x_1772605))),
inference(cnfTransformation,[status(thm)],[f_3692]) ).
tff(c_615937,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(superposition,[status(thm),theory(equality)],[c_604184,c_615917]) ).
tff(c_615994,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(demodulation,[status(thm),theory(equality)],[c_23183,c_1838,c_615937]) ).
tff(c_615996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_600116,c_615994]) ).
tff(c_615998,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(splitRight,[status(thm)],[c_24415]) ).
tff(c_616235,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(superposition,[status(thm),theory(equality)],[c_615998,c_15292]) ).
tff(c_616244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19800,c_616235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWW179+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 19:12:27 EDT 2023
% 0.22/0.36 % CPUTime :
% 282.00/239.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 282.00/239.39
% 282.00/239.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 282.00/239.44
% 282.00/239.44 Inference rules
% 282.00/239.44 ----------------------
% 282.00/239.44 #Ref : 130
% 282.00/239.44 #Sup : 122058
% 282.00/239.44 #Fact : 20
% 282.00/239.44 #Define : 0
% 282.00/239.44 #Split : 204
% 282.00/239.44 #Chain : 0
% 282.00/239.44 #Close : 0
% 282.00/239.44
% 282.00/239.44 Ordering : KBO
% 282.00/239.44
% 282.00/239.44 Simplification rules
% 282.00/239.44 ----------------------
% 282.00/239.44 #Subsume : 38517
% 282.00/239.44 #Demod : 81106
% 282.00/239.44 #Tautology : 26729
% 282.00/239.44 #SimpNegUnit : 4762
% 282.00/239.44 #BackRed : 245
% 282.00/239.44
% 282.00/239.44 #Partial instantiations: 784839
% 282.00/239.44 #Strategies tried : 1
% 282.00/239.44
% 282.00/239.44 Timing (in seconds)
% 282.00/239.44 ----------------------
% 282.00/239.44 Preprocessing : 2.25
% 282.00/239.44 Parsing : 1.24
% 282.00/239.44 CNF conversion : 0.18
% 282.00/239.44 Main loop : 236.09
% 282.00/239.44 Inferencing : 23.02
% 282.00/239.44 Reduction : 137.29
% 282.00/239.44 Demodulation : 109.72
% 282.00/239.44 BG Simplification : 0.92
% 282.00/239.44 Subsumption : 60.66
% 282.00/239.44 Abstraction : 1.44
% 282.00/239.44 MUC search : 0.00
% 282.00/239.44 Cooper : 0.00
% 282.00/239.44 Total : 238.43
% 282.00/239.44 Index Insertion : 0.00
% 282.00/239.44 Index Deletion : 0.00
% 282.00/239.44 Index Matching : 0.00
% 282.00/239.44 BG Taut test : 0.00
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