TSTP Solution File: SWW215+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW215+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 : n009.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 11:06:52 EDT 2023
% Result : Theorem 38.67s 16.78s
% Output : CNFRefutation 38.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 187
% Syntax : Number of formulae : 203 ( 13 unt; 178 typ; 0 def)
% Number of atoms : 46 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 13 |; 2 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 287 ( 157 >; 130 *; 0 +; 0 <<)
% Number of predicates : 83 ( 81 usr; 1 prp; 0-5 aty)
% Number of functors : 97 ( 97 usr; 21 con; 0-6 aty)
% Number of variables : 25 (; 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Polynomial_Opdivmod__rel > c_Rings_Odvd__class_Odvd > c_Orderings_Oord__class_Oless__eq > c_Orderings_Oord__class_Oless > c_SEQ_Odecseq > 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_Odvd > class_Rings_Odivision__ring__inverse__zero > class_Rings_Odivision__ring > 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__field > class_RealVector_Oreal__normed__div__algebra > class_RealVector_Oreal__normed__algebra__1 > class_RealVector_Oreal__normed__algebra > class_RealVector_Oreal__field > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Oord > class_Orderings_Olinorder > class_Orderings_Odense__linorder > class_Lattices_Oab__semigroup__idem__mult > class_Int_Oring__char__0 > class_Groups_Ozero > 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_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__inverse__zero > class_Fields_Ofield > class_Divides_Osemiring__div > class_Divides_Oring__div > c_RealDef_Opositive > c_Rings_Oinverse__class_Odivide > c_Power_Opower_Opower > c_Polynomial_Osynthetic__div > c_Polynomial_Opcompose > c_Polynomial_Oorder > c_Groups_Oplus__class_Oplus > c_Groups_Ominus__class_Ominus > c_Divides_Odiv__class_Omod > c_Divides_Odiv__class_Odiv > tc_fun > hAPP > c_RealVector_Onorm__class_Onorm > c_RealDef_Oreal > c_Polynomial_Opoly > c_Polynomial_Odegree > c_Groups_Oabs__class_Oabs > c_Fundamental__Theorem__Algebra__Mirabelle_Opsize > #nlpp > tc_Polynomial_Opoly > c_Transcendental_Oarctan > c_RComplete_Onatfloor > c_RComplete_Onatceiling > c_Power_Opower__class_Opower > c_Groups_Ozero__class_Ozero > c_Groups_Otimes__class_Otimes > c_Groups_Oone__class_Oone > c_Complex_Oexpi > v_z > v_w____ > v_q____ > v_p > v_m____ > v_e > v_da____ > v_d____ > v_cs____ > tc_RealDef_Oreal > tc_Nat_Onat > tc_Int_Oint > tc_HOL_Obool > tc_Complex_Ocomplex > c_Complex_Oii > #skF_32 > #skF_26 > #skF_49 > #skF_11 > #skF_41 > #skF_31 > #skF_33 > #skF_44 > #skF_18 > #skF_17 > #skF_30 > #skF_15 > #skF_47 > #skF_20 > #skF_56 > #skF_22 > #skF_19 > #skF_36 > #skF_13 > #skF_39 > #skF_10 > #skF_34 > #skF_14 > #skF_29 > #skF_48 > #skF_45 > #skF_35 > #skF_2 > #skF_8 > #skF_7 > #skF_37 > #skF_42 > #skF_9 > #skF_4 > #skF_51 > #skF_28 > #skF_24 > #skF_40 > #skF_23 > #skF_5 > #skF_52 > #skF_50 > #skF_54 > #skF_55 > #skF_3 > #skF_38 > #skF_46 > #skF_12 > #skF_25 > #skF_43 > #skF_27 > #skF_6 > #skF_1 > #skF_21 > #skF_53 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_Groups_Olinordered__ab__group__add,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(class_Rings_Ocomm__semiring__1,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i ) > $i ).
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_26',type,
'#skF_26': ( $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $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_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(class_Rings_Olinordered__semiring__strict,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(c_RealDef_Oreal,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff(class_Rings_Osemiring,type,
class_Rings_Osemiring: $i > $o ).
tff(tc_HOL_Obool,type,
tc_HOL_Obool: $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i ) > $i ).
tff(class_Rings_Ocomm__ring__1,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
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('#skF_17',type,
'#skF_17': $i ).
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_30',type,
'#skF_30': ( $i * $i ) > $i ).
tff(class_Groups_Ocomm__monoid__add,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
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_RealVector_Oreal__normed__field,type,
class_RealVector_Oreal__normed__field: $i > $o ).
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(class_Rings_Olinordered__comm__semiring__strict,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
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(class_Rings_Odvd,type,
class_Rings_Odvd: $i > $o ).
tff('#skF_56',type,
'#skF_56': ( $i * $i * $i ) > $i ).
tff(v_e,type,
v_e: $i ).
tff(c_Groups_Oone__class_Oone,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(c_Polynomial_Osynthetic__div,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(tc_Int_Oint,type,
tc_Int_Oint: $i ).
tff(class_Fields_Ofield__inverse__zero,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(class_Orderings_Odense__linorder,type,
class_Orderings_Odense__linorder: $i > $o ).
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(v_z,type,
v_z: $i ).
tff(tc_RealDef_Oreal,type,
tc_RealDef_Oreal: $i ).
tff(v_d____,type,
v_d____: $i ).
tff(class_Rings_Ocomm__semiring__0,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(class_Groups_Ocomm__monoid__mult,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(c_RComplete_Onatfloor,type,
c_RComplete_Onatfloor: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $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(c_Complex_Oii,type,
c_Complex_Oii: $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff(v_cs____,type,
v_cs____: $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(class_Rings_Odivision__ring,type,
class_Rings_Odivision__ring: $i > $o ).
tff(c_Complex_Oexpi,type,
c_Complex_Oexpi: $i > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(class_Rings_Ocomm__semiring,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
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(c_Rings_Oinverse__class_Odivide,type,
c_Rings_Oinverse__class_Odivide: ( $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(class_Fields_Ofield,type,
class_Fields_Ofield: $i > $o ).
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(class_Divides_Oring__div,type,
class_Divides_Oring__div: $i > $o ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $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(c_Orderings_Oord__class_Oless,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(c_Groups_Ozero__class_Ozero,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $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_Rings_Odivision__ring__inverse__zero,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(class_Rings_Oring__1,type,
class_Rings_Oring__1: $i > $o ).
tff(class_Power_Opower,type,
class_Power_Opower: $i > $o ).
tff(c_Rings_Odvd__class_Odvd,type,
c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(v_m____,type,
v_m____: $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i ) > $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(class_Rings_Osemiring__0,type,
class_Rings_Osemiring__0: $i > $o ).
tff(c_Polynomial_Opdivmod__rel,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $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(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_9',type,
'#skF_9': $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(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('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': ( $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('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(class_Rings_Oring__no__zero__divisors,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(class_Rings_Oring,type,
class_Rings_Oring: $i > $o ).
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(v_da____,type,
v_da____: $i ).
tff(c_RealVector_Onorm__class_Onorm,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $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(class_Rings_Ozero__neq__one,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(class_Rings_Ono__zero__divisors,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(c_Polynomial_Odegree,type,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i ) > $i ).
tff(c_Polynomial_Opcompose,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(v_w____,type,
v_w____: $i ).
tff(c_Power_Opower__class_Opower,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(v_p,type,
v_p: $i ).
tff(c_RealDef_Opositive,type,
c_RealDef_Opositive: $i > $o ).
tff(class_Rings_Oordered__semiring,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(class_RealVector_Oreal__field,type,
class_RealVector_Oreal__field: $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(v_q____,type,
v_q____: $i ).
tff('#skF_25',type,
'#skF_25': ( $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(c_Transcendental_Oarctan,type,
c_Transcendental_Oarctan: $i > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $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_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff(class_Groups_Oordered__ab__semigroup__add,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff('#skF_53',type,
'#skF_53': ( $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_6195,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
tff(f_35,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_H_I2_J) ).
tff(f_402,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_36,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_H_I5_J) ).
tff(f_6186,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
tff(f_66,axiom,
! [V_w,V_z] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__linear) ).
tff(f_6488,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_72,axiom,
! [V_k,V_j,V_i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
tff(f_393,axiom,
! [V_y_2,V_x_2,T_a] :
( class_Orderings_Opreorder(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)
& ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__le__not__le) ).
tff(c_3470,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_6195]) ).
tff(c_6,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_144,plain,
! [T_a_158,V_x_2_157,V_y_2_156] :
( c_Orderings_Oord__class_Oless__eq(T_a_158,V_x_2_157,V_y_2_156)
| ~ c_Orderings_Oord__class_Oless(T_a_158,V_x_2_157,V_y_2_156)
| ~ class_Orderings_Oorder(T_a_158) ),
inference(cnfTransformation,[status(thm)],[f_402]) ).
tff(c_8,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_3452,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_6186]) ).
tff(c_5354,plain,
! [V_w_3298,V_z_3299] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w_3298,V_z_3299)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z_3299,V_w_3298) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_3698,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cnfTransformation,[status(thm)],[f_6488]) ).
tff(c_5365,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),
inference(resolution,[status(thm)],[c_5354,c_3698]) ).
tff(c_35724,plain,
! [V_i_3971,V_k_3972,V_j_3973] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i_3971,V_k_3972)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j_3973,V_k_3972)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i_3971,V_j_3973) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_36093,plain,
! [V_i_3975] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i_3975,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i_3975,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(resolution,[status(thm)],[c_5365,c_35724]) ).
tff(c_136,plain,
! [T_a_155,V_y_2_153,V_x_2_154] :
( ~ c_Orderings_Oord__class_Oless__eq(T_a_155,V_y_2_153,V_x_2_154)
| ~ c_Orderings_Oord__class_Oless(T_a_155,V_x_2_154,V_y_2_153)
| ~ class_Orderings_Opreorder(T_a_155) ),
inference(cnfTransformation,[status(thm)],[f_393]) ).
tff(c_36115,plain,
! [V_i_3975] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),V_i_3975)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i_3975,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(resolution,[status(thm)],[c_36093,c_136]) ).
tff(c_43191,plain,
! [V_i_4050] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),V_i_4050)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i_4050,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3452,c_36115]) ).
tff(c_43268,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(resolution,[status(thm)],[c_8,c_43191]) ).
tff(c_43273,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_144,c_43268]) ).
tff(c_43288,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3470,c_6,c_43273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW215+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 19:36:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 38.67/16.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.67/16.79
% 38.67/16.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 38.80/16.82
% 38.80/16.82 Inference rules
% 38.80/16.82 ----------------------
% 38.80/16.82 #Ref : 14
% 38.80/16.82 #Sup : 8246
% 38.80/16.82 #Fact : 12
% 38.80/16.82 #Define : 0
% 38.80/16.82 #Split : 15
% 38.80/16.82 #Chain : 0
% 38.80/16.82 #Close : 0
% 38.80/16.82
% 38.80/16.82 Ordering : KBO
% 38.80/16.82
% 38.80/16.82 Simplification rules
% 38.80/16.82 ----------------------
% 38.80/16.82 #Subsume : 2321
% 38.80/16.82 #Demod : 5967
% 38.80/16.82 #Tautology : 4378
% 38.80/16.82 #SimpNegUnit : 201
% 38.80/16.82 #BackRed : 1
% 38.80/16.82
% 38.80/16.82 #Partial instantiations: 0
% 38.80/16.82 #Strategies tried : 1
% 38.80/16.82
% 38.80/16.82 Timing (in seconds)
% 38.80/16.82 ----------------------
% 38.80/16.82 Preprocessing : 2.37
% 38.80/16.82 Parsing : 1.25
% 38.80/16.82 CNF conversion : 0.19
% 38.80/16.82 Main loop : 13.40
% 38.80/16.82 Inferencing : 1.95
% 38.80/16.82 Reduction : 7.39
% 38.80/16.82 Demodulation : 5.66
% 38.80/16.82 BG Simplification : 0.24
% 38.80/16.82 Subsumption : 2.95
% 38.80/16.82 Abstraction : 0.15
% 38.80/16.82 MUC search : 0.00
% 38.80/16.82 Cooper : 0.00
% 38.80/16.82 Total : 15.82
% 38.80/16.82 Index Insertion : 0.00
% 38.80/16.82 Index Deletion : 0.00
% 38.80/16.82 Index Matching : 0.00
% 38.80/16.82 BG Taut test : 0.00
%------------------------------------------------------------------------------