TSTP Solution File: SWW209+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW209+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n032.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 11:06:51 EDT 2023
% Result : Theorem 42.65s 17.46s
% Output : CNFRefutation 42.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 164
% Syntax : Number of formulae : 173 ( 7 unt; 160 typ; 0 def)
% Number of atoms : 19 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 244 ( 150 >; 94 *; 0 +; 0 <<)
% Number of predicates : 73 ( 71 usr; 1 prp; 0-4 aty)
% Number of functors : 89 ( 89 usr; 10 con; 0-5 aty)
% Number of variables : 23 (; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Record_Oiso__tuple__update__accessor__cong__assist > c_Nat__Transfer_Otransfer__morphism > c_Orderings_Oorder__class_Ostrict__mono > c_Orderings_Oord__class_Oless > c_SEQ_Oincseq > c_SEQ_Odecseq > c_SEQ_Oconvergent > c_SEQ_OCauchy > hBOOL > class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct > class_SEQ_Ocomplete__space > class_Rings_Ozero__neq__one > class_Rings_Osemiring__1 > 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 > 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 > class_Rings_Ocomm__ring__1 > class_RealVector_Oreal__normed__algebra > class_RealVector_Ometric__space > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Oord > class_Orderings_Olinorder > class_Nat_Osemiring__char__0 > class_Lattices_Oboolean__algebra > class_Lattices_Oab__semigroup__idem__mult > class_Int_Oring__char__0 > class_Groups_Ozero > class_Groups_Ouminus > 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 > 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__ab__semigroup__add > class_Groups_Oab__semigroup__mult > class_Groups_Oab__semigroup__add > class_Groups_Oab__group__add > class_Divides_Osemiring__div > c_SEQ_Osubseq > c_Fun_Oswap > c_Nat_Osemiring__1__class_Oof__nat__aux > c_Fun_Ocomp > c_Power_Opower_Opower > c_Groups_Oplus__class_Oplus > c_Groups_Ominus__class_Ominus > c_Divides_Odiv__class_Odiv > tc_fun > hAPP > c_SMT_Oz3div > c_Orderings_Oord__class_Oless__eq > c_Nat__Transfer_Otsub > c_Nat_Ocompow > c_Int_Oring__1__class_Oof__int > c_Int_Onat__aux > c_Groups_Ouminus__class_Ouminus > #nlpp > c_Transcendental_Oln > c_RealDef_Oreal > c_RComplete_Onatfloor > c_RComplete_Onatceiling > c_Power_Opower__class_Opower > c_Nat_Osemiring__1__class_Oof__nat > c_Nat_Ofunpow > c_Nat_OSuc > c_Groups_Ozero__class_Ozero > c_Groups_Otimes__class_Otimes > c_Groups_Oone__class_Oone > v_r > v_ga____ > v_f____ > tc_RealDef_Oreal > tc_Nat_Onat > tc_Int_Oint > tc_HOL_Obool > c_Int_Onat > #skF_36 > #skF_49 > #skF_37 > #skF_35 > #skF_11 > #skF_44 > #skF_21 > #skF_41 > #skF_16 > #skF_2 > #skF_4 > #skF_26 > #skF_30 > #skF_31 > #skF_47 > #skF_22 > #skF_54 > #skF_18 > #skF_52 > #skF_38 > #skF_14 > #skF_34 > #skF_32 > #skF_53 > #skF_48 > #skF_19 > #skF_45 > #skF_10 > #skF_6 > #skF_43 > #skF_7 > #skF_23 > #skF_51 > #skF_33 > #skF_28 > #skF_24 > #skF_13 > #skF_5 > #skF_17 > #skF_3 > #skF_50 > #skF_25 > #skF_46 > #skF_40 > #skF_8 > #skF_12 > #skF_29 > #skF_27 > #skF_1 > #skF_9 > #skF_15 > #skF_42 > #skF_20 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_ga____,type,
v_ga____: $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('#skF_36',type,
'#skF_36': $i > $i ).
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_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_37',type,
'#skF_37': ( $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('#skF_44',type,
'#skF_44': $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('#skF_16',type,
'#skF_16': $i > $i ).
tff(c_Nat__Transfer_Otsub,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(tc_HOL_Obool,type,
tc_HOL_Obool: $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(class_Rings_Ocomm__ring__1,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i > $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(class_Rings_Olinordered__semiring,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(c_Nat_Ofunpow,type,
c_Nat_Ofunpow: $i > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Oless__eq,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $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(c_Nat_Osemiring__1__class_Oof__nat__aux,type,
c_Nat_Osemiring__1__class_Oof__nat__aux: ( $i * $i * $i * $i ) > $i ).
tff(class_Groups_Omonoid__mult,type,
class_Groups_Omonoid__mult: $i > $o ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
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(c_Nat_Ocompow,type,
c_Nat_Ocompow: ( $i * $i ) > $i ).
tff(class_RealVector_Ometric__space,type,
class_RealVector_Ometric__space: $i > $o ).
tff(c_Groups_Oone__class_Oone,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(tc_Int_Oint,type,
tc_Int_Oint: $i ).
tff('#skF_54',type,
'#skF_54': $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_SEQ_OCauchy,type,
c_SEQ_OCauchy: ( $i * $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_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(c_Nat__Transfer_Otransfer__morphism,type,
c_Nat__Transfer_Otransfer__morphism: ( $i * $i * $i * $i ) > $o ).
tff('#skF_52',type,
'#skF_52': ( $i * $i * $i ) > $i ).
tff(c_RealDef_Oreal,type,
c_RealDef_Oreal: $i > $i ).
tff(class_Groups_Ocomm__monoid__mult,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff('#skF_38',type,
'#skF_38': ( $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(c_Orderings_Oorder__class_Ostrict__mono,type,
c_Orderings_Oorder__class_Ostrict__mono: ( $i * $i * $i ) > $o ).
tff(c_SEQ_Oincseq,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(c_Nat_Osemiring__1__class_Oof__nat,type,
c_Nat_Osemiring__1__class_Oof__nat: $i > $i ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff(class_Rings_Ocomm__semiring,type,
class_Rings_Ocomm__semiring: $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_32',type,
'#skF_32': $i > $i ).
tff('#skF_53',type,
'#skF_53': $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff(class_Groups_Ominus,type,
class_Groups_Ominus: $i > $o ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff(c_Fun_Ocomp,type,
c_Fun_Ocomp: ( $i * $i * $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(c_Int_Onat,type,
c_Int_Onat: $i ).
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_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('#skF_10',type,
'#skF_10': ( $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('#skF_6',type,
'#skF_6': ( $i * $i * $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(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(c_Int_Oring__1__class_Oof__int,type,
c_Int_Oring__1__class_Oof__int: ( $i * $i ) > $i ).
tff(class_Groups_Oab__semigroup__add,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(c_RComplete_Onatceiling,type,
c_RComplete_Onatceiling: $i > $i ).
tff(c_SEQ_Oconvergent,type,
c_SEQ_Oconvergent: ( $i * $i ) > $o ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i ) > $i ).
tff(c_SEQ_Osubseq,type,
c_SEQ_Osubseq: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(v_r,type,
v_r: $i ).
tff(class_Nat_Osemiring__char__0,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(c_Divides_Odiv__class_Odiv,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': $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_51',type,
'#skF_51': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': $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(class_Rings_Osemiring__1,type,
class_Rings_Osemiring__1: $i > $o ).
tff(c_Groups_Ouminus__class_Ouminus,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(c_Record_Oiso__tuple__update__accessor__cong__assist,type,
c_Record_Oiso__tuple__update__accessor__cong__assist: ( $i * $i * $i * $i ) > $o ).
tff(class_Rings_Olinordered__semiring__1__strict,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(c_Nat_OSuc,type,
c_Nat_OSuc: $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i ) > $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_17',type,
'#skF_17': $i > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
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(c_Fun_Oswap,type,
c_Fun_Oswap: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
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('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(c_Int_Onat__aux,type,
c_Int_Onat__aux: ( $i * $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('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(class_Groups_Oab__group__add,type,
class_Groups_Oab__group__add: $i > $o ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff(v_f____,type,
v_f____: $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(class_SEQ_Ocomplete__space,type,
class_SEQ_Ocomplete__space: $i > $o ).
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('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(class_Groups_Ouminus,type,
class_Groups_Ouminus: $i > $o ).
tff(f_5563,negated_conjecture,
~ ! [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_m),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_n)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f_40,axiom,
! [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,B_m),hAPP(v_ga____,B_n)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096) ).
tff(f_36,axiom,
! [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,B_m),hAPP(v_f____,B_n)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096) ).
tff(f_54,axiom,
! [V_v_2,V_c_2,V_b_2,V_a_2,T_a,T_b,T_c] :
( ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = V_c_2 )
=> ( hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_o__eq__dest__lhs) ).
tff(c_3346,plain,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,'#skF_53','#skF_54'),
inference(cnfTransformation,[status(thm)],[f_5563]) ).
tff(c_6,plain,
! [B_m_6,B_n_7] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,B_m_6),hAPP(v_ga____,B_n_7))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m_6,B_n_7) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_69678,plain,
! [B_m_141400,B_n_141401] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,B_m_141400),hAPP(v_f____,B_n_141401))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m_141400,B_n_141401) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_18,plain,
! [T_b_37,T_c_38,V_v_2_32,V_b_2_34,V_a_2_35,T_a_36] : ( hAPP(hAPP(c_Fun_Ocomp(T_c_38,T_b_37,T_a_36,V_a_2_35),V_b_2_34),V_v_2_32) = hAPP(V_a_2_35,hAPP(V_b_2_34,V_v_2_32)) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_3344,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),'#skF_53'),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),'#skF_54')),
inference(cnfTransformation,[status(thm)],[f_5563]) ).
tff(c_3574,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,'#skF_53')),hAPP(v_f____,hAPP(v_ga____,'#skF_54'))),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_18,c_3344]) ).
tff(c_69756,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,'#skF_53'),hAPP(v_ga____,'#skF_54')),
inference(resolution,[status(thm)],[c_69678,c_3574]) ).
tff(c_69825,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,'#skF_53','#skF_54'),
inference(resolution,[status(thm)],[c_6,c_69756]) ).
tff(c_69838,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3346,c_69825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW209+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n032.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 19:11:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 42.65/17.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.65/17.46
% 42.65/17.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 42.67/17.49
% 42.67/17.49 Inference rules
% 42.67/17.49 ----------------------
% 42.67/17.49 #Ref : 23
% 42.67/17.49 #Sup : 10969
% 42.67/17.49 #Fact : 12
% 42.67/17.49 #Define : 0
% 42.67/17.49 #Split : 19
% 42.67/17.49 #Chain : 0
% 42.67/17.49 #Close : 0
% 42.67/17.49
% 42.67/17.49 Ordering : KBO
% 42.67/17.49
% 42.67/17.49 Simplification rules
% 42.67/17.49 ----------------------
% 42.67/17.49 #Subsume : 3262
% 42.67/17.49 #Demod : 7038
% 42.67/17.49 #Tautology : 4354
% 42.67/17.49 #SimpNegUnit : 406
% 42.67/17.49 #BackRed : 95
% 42.67/17.49
% 42.67/17.49 #Partial instantiations: 56550
% 42.67/17.49 #Strategies tried : 1
% 42.67/17.49
% 42.67/17.49 Timing (in seconds)
% 42.67/17.49 ----------------------
% 42.67/17.49 Preprocessing : 2.28
% 42.67/17.49 Parsing : 1.25
% 42.67/17.49 CNF conversion : 0.18
% 42.67/17.49 Main loop : 14.15
% 42.67/17.49 Inferencing : 2.53
% 42.67/17.49 Reduction : 7.46
% 42.67/17.49 Demodulation : 5.81
% 42.67/17.49 BG Simplification : 0.25
% 42.67/17.49 Subsumption : 2.93
% 42.67/17.49 Abstraction : 0.16
% 42.67/17.49 MUC search : 0.00
% 42.67/17.49 Cooper : 0.00
% 42.67/17.49 Total : 16.48
% 42.67/17.49 Index Insertion : 0.00
% 42.67/17.49 Index Deletion : 0.00
% 42.67/17.49 Index Matching : 0.00
% 42.67/17.50 BG Taut test : 0.00
%------------------------------------------------------------------------------