TSTP Solution File: ALG365-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG365-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:32:37 EDT 2023
% Result : Unsatisfiable 6.49s 2.53s
% Output : CNFRefutation 6.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 89
% Syntax : Number of formulae : 94 ( 6 unt; 86 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 130 ( 75 >; 55 *; 0 +; 0 <<)
% Number of predicates : 57 ( 56 usr; 2 prp; 0-5 aty)
% Number of functors : 30 ( 30 usr; 10 con; 0-5 aty)
% Number of variables : 3 (; 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Limits_Otendsto > c_Lim_OLIM > c_Limits_OZfun > c_Lim_OisCont > c_fequal > c_Series_Osums > c_SEQ_OLIMSEQ > c_RealVector_Obounded__linear > c_Lim_OisUCont > c_Deriv_Odifferentiable > c_Series_Osummable > c_SEQ_Oconvergent > c_SEQ_OZseq > c_SEQ_OCauchy > class_SEQ_Ocomplete__space > class_SEQ_Obanach > class_Ring__and__Field_Osemiring__0 > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ofield > class_Ring__and__Field_Odivision__ring > class_Ring__and__Field_Odivision__by__zero > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring > class_RealVector_Otopological__space > class_RealVector_Oreal__vector > class_RealVector_Oreal__normed__vector > class_RealVector_Oreal__normed__field > class_RealVector_Oreal__normed__div__algebra > class_RealVector_Oreal__normed__algebra__1 > class_RealVector_Oreal__normed__algebra > class_RealVector_Oreal__algebra__1 > class_RealVector_Oreal__algebra > class_RealVector_Ometric__space > class_OrderedGroup_Oordered__ab__group__add > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__ab__semigroup__add > class_OrderedGroup_Oab__semigroup__mult > class_OrderedGroup_Oab__semigroup__idem__mult > class_OrderedGroup_Oab__semigroup__add > class_OrderedGroup_Oab__group__add > class_Lattices_Oboolean__algebra > class_Int_Onumber__ring > class_HOL_Ozero > c_SEQ_Osubseq > c_SEQ_Omonoseq > c_COMBC > c_COMBB > c_Set_Oimage > c_Finite__Set_Osetsum > v_sko__CHAINED__1 > c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1 > c_COMBK > tc_fun > hAPP > c_Series_Osuminf > c_SEQ_Olim > c_Complex_Ocomplex_OComplex > #nlpp > c_RealVector_OscaleR__class_OscaleR > c_RealVector_Oof__real > c_RealVector_Onorm__class_Onorm > c_HOL_Ozero__class_Ozero > c_HOL_Ouminus__class_Ouminus > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Oinverse__class_Oinverse > v_thesis____ > v_s > v_ga____ > v_f____ > tc_nat > tc_bool > tc_RealDef_Oreal > tc_Complex_Ocomplex > c_Suc > c_Complex_ORe > c_Complex_OIm
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_HOL_Ozero,type,
class_HOL_Ozero: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(v_ga____,type,
v_ga____: $i ).
tff(c_RealVector_Onorm__class_Onorm,type,
c_RealVector_Onorm__class_Onorm: $i > $i ).
tff(class_OrderedGroup_Oordered__ab__group__add,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_Series_Osums,type,
c_Series_Osums: ( $i * $i * $i ) > $o ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(c_Lim_OLIM,type,
c_Lim_OLIM: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Lim_OisCont,type,
c_Lim_OisCont: ( $i * $i * $i * $i ) > $o ).
tff(v_s,type,
v_s: $i ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(class_Ring__and__Field_Osemiring,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(c_HOL_Oinverse__class_Oinverse,type,
c_HOL_Oinverse__class_Oinverse: $i > $i ).
tff(class_RealVector_Oreal__normed__algebra__1,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(class_RealVector_Oreal__vector,type,
class_RealVector_Oreal__vector: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(class_Ring__and__Field_Oring,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(class_RealVector_Oreal__normed__field,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(class_Ring__and__Field_Osemiring__0,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(c_Complex_Ocomplex_OComplex,type,
c_Complex_Ocomplex_OComplex: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(class_RealVector_Ometric__space,type,
class_RealVector_Ometric__space: $i > $o ).
tff(v_thesis____,type,
v_thesis____: $o ).
tff(class_Ring__and__Field_Omult__zero,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(c_COMBB,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_SEQ_OCauchy,type,
c_SEQ_OCauchy: ( $i * $i ) > $o ).
tff(tc_RealDef_Oreal,type,
tc_RealDef_Oreal: $i ).
tff(class_OrderedGroup_Oab__semigroup__mult,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(class_Ring__and__Field_Odivision__by__zero,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(c_Complex_OIm,type,
c_Complex_OIm: $i ).
tff(c_SEQ_Olim,type,
c_SEQ_Olim: ( $i * $i ) > $i ).
tff(class_SEQ_Obanach,type,
class_SEQ_Obanach: $i > $o ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(c_RealVector_Obounded__linear,type,
c_RealVector_Obounded__linear: ( $i * $i * $i ) > $o ).
tff(c_Lim_OisUCont,type,
c_Lim_OisUCont: ( $i * $i * $i ) > $o ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(c_SEQ_OLIMSEQ,type,
c_SEQ_OLIMSEQ: ( $i * $i * $i ) > $o ).
tff(class_Ring__and__Field_Ofield,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(c_SEQ_OZseq,type,
c_SEQ_OZseq: ( $i * $i ) > $o ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(v_sko__CHAINED__1,type,
v_sko__CHAINED__1: ( $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(class_RealVector_Oreal__normed__algebra,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(class_RealVector_Oreal__normed__div__algebra,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oring__no__zero__divisors,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(c_Deriv_Odifferentiable,type,
c_Deriv_Odifferentiable: ( $i * $i * $i ) > $o ).
tff(class_RealVector_Oreal__normed__vector,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(tc_bool,type,
tc_bool: $i ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Limits_Otendsto,type,
c_Limits_Otendsto: ( $i * $i * $i * $i * $i ) > $o ).
tff(class_RealVector_Oreal__algebra,type,
class_RealVector_Oreal__algebra: $i > $o ).
tff(c_SEQ_Oconvergent,type,
c_SEQ_Oconvergent: ( $i * $i ) > $o ).
tff(class_RealVector_Oreal__algebra__1,type,
class_RealVector_Oreal__algebra__1: $i > $o ).
tff(c_SEQ_Osubseq,type,
c_SEQ_Osubseq: $i > $o ).
tff(c_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(tc_Complex_Ocomplex,type,
tc_Complex_Ocomplex: $i ).
tff(c_HOL_Ozero__class_Ozero,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(c_Series_Osummable,type,
c_Series_Osummable: ( $i * $i ) > $o ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1,type,
c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1: ( $i * $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_RealVector_OscaleR__class_OscaleR,type,
c_RealVector_OscaleR__class_OscaleR: $i > $i ).
tff(class_RealVector_Otopological__space,type,
class_RealVector_Otopological__space: $i > $o ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(c_SEQ_Omonoseq,type,
c_SEQ_Omonoseq: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(class_Ring__and__Field_Odivision__ring,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(c_Complex_ORe,type,
c_Complex_ORe: $i ).
tff(c_Suc,type,
c_Suc: $i ).
tff(c_Finite__Set_Osetsum,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(c_Series_Osuminf,type,
c_Series_Osuminf: ( $i * $i ) > $i ).
tff(v_f____,type,
v_f____: $i ).
tff(c_RealVector_Oof__real,type,
c_RealVector_Oof__real: $i > $i ).
tff(class_SEQ_Ocomplete__space,type,
class_SEQ_Ocomplete__space: $i > $o ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(c_Limits_OZfun,type,
c_Limits_OZfun: ( $i * $i * $i * $i ) > $o ).
tff(f_2764,axiom,
~ v_thesis____,
file(unknown,unknown) ).
tff(f_2769,axiom,
! [V_x] :
( v_thesis____
| ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),V_x,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_2762,axiom,
c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(c_772,plain,
~ v_thesis____,
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_774,plain,
! [V_x_1222] :
( ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),V_x_1222,tc_RealDef_Oreal)
| v_thesis____ ),
inference(cnfTransformation,[status(thm)],[f_2769]) ).
tff(c_955,plain,
! [V_x_1222] : ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),V_x_1222,tc_RealDef_Oreal),
inference(negUnitSimplification,[status(thm)],[c_772,c_774]) ).
tff(c_770,plain,
c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_2762]) ).
tff(c_956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_955,c_770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ALG365-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 20:21:06 EDT 2023
% 0.14/0.37 % CPUTime :
% 6.49/2.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.70/2.54
% 6.70/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.75/2.56
% 6.75/2.56 Inference rules
% 6.75/2.56 ----------------------
% 6.75/2.56 #Ref : 0
% 6.75/2.56 #Sup : 0
% 6.75/2.56 #Fact : 0
% 6.75/2.56 #Define : 0
% 6.75/2.56 #Split : 0
% 6.75/2.56 #Chain : 0
% 6.75/2.56 #Close : 0
% 6.75/2.56
% 6.75/2.56 Ordering : KBO
% 6.75/2.56
% 6.75/2.56 Simplification rules
% 6.75/2.56 ----------------------
% 6.75/2.56 #Subsume : 476
% 6.75/2.56 #Demod : 0
% 6.75/2.56 #Tautology : 0
% 6.75/2.56 #SimpNegUnit : 2
% 6.75/2.56 #BackRed : 0
% 6.75/2.56
% 6.75/2.56 #Partial instantiations: 0
% 6.75/2.56 #Strategies tried : 1
% 6.75/2.56
% 6.75/2.56 Timing (in seconds)
% 6.75/2.56 ----------------------
% 6.75/2.57 Preprocessing : 1.30
% 6.75/2.57 Parsing : 0.70
% 6.75/2.57 CNF conversion : 0.10
% 6.75/2.57 Main loop : 0.18
% 6.75/2.57 Inferencing : 0.00
% 6.75/2.57 Reduction : 0.09
% 6.75/2.57 Demodulation : 0.06
% 6.75/2.57 BG Simplification : 0.11
% 6.75/2.57 Subsumption : 0.06
% 6.75/2.57 Abstraction : 0.02
% 6.75/2.57 MUC search : 0.00
% 6.75/2.57 Cooper : 0.00
% 6.75/2.57 Total : 1.53
% 6.75/2.57 Index Insertion : 0.00
% 6.75/2.57 Index Deletion : 0.00
% 6.75/2.57 Index Matching : 0.00
% 6.75/2.57 BG Taut test : 0.00
%------------------------------------------------------------------------------