TSTP Solution File: SWV821-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV821-1 : 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/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 : n024.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 11:05:44 EDT 2023
% Result : Unsatisfiable 37.41s 16.53s
% Output : CNFRefutation 37.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 130
% Syntax : Number of formulae : 138 ( 10 unt; 126 typ; 0 def)
% Number of atoms : 14 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 173 ( 114 >; 59 *; 0 +; 0 <<)
% Number of predicates : 80 ( 78 usr; 1 prp; 0-4 aty)
% Number of functors : 48 ( 48 usr; 12 con; 0-6 aty)
% Number of variables : 11 (; 11 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Natural_Oevaln > c_lessequals > c_Ring__and__Field_Odvd__class_Odvd > c_Natural_Oevalc > c_HOL_Oord__class_Oless > hBOOL > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osgn__if > class_Ring__and__Field_Osemiring__1 > class_Ring__and__Field_Osemiring__0 > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring__1__no__zero__divisors > class_Ring__and__Field_Oring__1 > class_Ring__and__Field_Oring > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Opordered__ring__abs > class_Ring__and__Field_Opordered__ring > class_Ring__and__Field_Opordered__cancel__semiring > class_Ring__and__Field_Oordered__semiring__strict > class_Ring__and__Field_Oordered__semiring > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oordered__field > class_Ring__and__Field_Oordered__comm__semiring__strict > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Omult__mono1 > class_Ring__and__Field_Omult__mono > class_Ring__and__Field_Olordered__ring > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ofield > class_Ring__and__Field_Odvd > 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_Ring__and__Field_Ocomm__ring__1 > class_Ring__and__Field_Ocomm__ring > class_Ring__and__Field_Oabs__if > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_OrderedGroup_Opordered__comm__monoid__add > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > class_OrderedGroup_Opordered__ab__semigroup__add > class_OrderedGroup_Opordered__ab__group__add__abs > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Oordered__ab__group__add > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add__meet > class_OrderedGroup_Olordered__ab__group__add__join > class_OrderedGroup_Olordered__ab__group__add__abs > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__mult > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__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_Nat_Osemiring__char__0 > class_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice > class_Lattices_Oboolean__algebra > class_Int_Onumber__ring > class_Divides_Osemiring__div > class_Divides_Oring__div > c_Natural_Osko__Natural__Xevaln__max2__1__1 > c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 > c_COMBK > c_Power_Opower__class_Opower > c_Orderings_Oord__class_Omin > c_Orderings_Oord__class_Omax > c_List_Oreplicate > c_List_Odrop > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_HOL_Oinverse__class_Odivide > c_Divides_Odiv__class_Omod > hAPP > c_OrderedGroup_Olordered__ab__group__add__class_Opprt > c_OrderedGroup_Olordered__ab__group__add__class_Onprt > c_Nitpick_Onat__gcd > c_Nat_Osize__class_Osize > c_Nat_Osemiring__1__class_Oof__nat > c_HOL_Ouminus__class_Ouminus > c_HOL_Osgn__class_Osgn > c_HOL_Oinverse__class_Oinverse > c_HOL_Oabs__class_Oabs > c_Fun_Oid > c_Com_Ocom_OSemi > c_COMBI > #nlpp > c_nat_Onat__size > c_Suc > c_String_Ochar_Ochar__size > c_Orderings_Obot__class_Obot > c_HOL_Ozero__class_Ozero > c_HOL_Oone__class_Oone > c_Com_Ocom_Ocom__size > c_Com_Ocom_OBODY > v_xb > v_xa > v_x > v_pn > v_Q > v_P > tc_nat > tc_String_Ochar > tc_Com_Ocom > t_b > t_a > c_Com_Ocom_OSKIP
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(class_OrderedGroup_Oordered__ab__group__add,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(class_Ring__and__Field_Opordered__ring__abs,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(c_Com_Ocom_Ocom__size,type,
c_Com_Ocom_Ocom__size: $i > $i ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_Nat_Osize__class_Osize,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(c_OrderedGroup_Olordered__ab__group__add__class_Opprt,type,
c_OrderedGroup_Olordered__ab__group__add__class_Opprt: ( $i * $i ) > $i ).
tff(c_HOL_Oinverse__class_Oinverse,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(class_Ring__and__Field_Oordered__semiring,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(class_Ring__and__Field_Osemiring,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(v_xa,type,
v_xa: $i ).
tff(v_P,type,
v_P: $i ).
tff(class_Ring__and__Field_Oring__1__no__zero__divisors,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(class_Ring__and__Field_Oring,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add__abs,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(class_Ring__and__Field_Osemiring__0,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_Nat_Osemiring__1__class_Oof__nat,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(class_OrderedGroup_Olordered__ab__group__add__meet,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $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(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(class_OrderedGroup_Olordered__ab__group__add__join,type,
class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__mult,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(c_HOL_Oinverse__class_Odivide,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Odivision__by__zero,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(c_String_Ochar_Ochar__size,type,
c_String_Ochar_Ochar__size: $i > $i ).
tff(class_Ring__and__Field_Oordered__field,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(class_Ring__and__Field_Opordered__ring,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(class_Ring__and__Field_Ozero__neq__one,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(c_Natural_Oevalc,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(v_pn,type,
v_pn: $i ).
tff(c_List_Oreplicate,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(c_nat_Onat__size,type,
c_nat_Onat__size: $i > $i ).
tff(c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $i ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(tc_Com_Ocom,type,
tc_Com_Ocom: $i ).
tff(c_Orderings_Oord__class_Omin,type,
c_Orderings_Oord__class_Omin: ( $i * $i * $i ) > $i ).
tff(c_Suc,type,
c_Suc: $i > $i ).
tff(class_Ring__and__Field_Oordered__comm__semiring__strict,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(class_Ring__and__Field_Ocomm__ring__1,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(class_Ring__and__Field_Ofield,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(c_OrderedGroup_Olordered__ab__group__add__class_Onprt,type,
c_OrderedGroup_Olordered__ab__group__add__class_Onprt: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(class_Divides_Oring__div,type,
class_Divides_Oring__div: $i > $o ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__cancel__ab__semigroup__add,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__mult,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(class_Power_Opower,type,
class_Power_Opower: $i > $o ).
tff(c_COMBI,type,
c_COMBI: ( $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Omax,type,
c_Orderings_Oord__class_Omax: ( $i * $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(class_Ring__and__Field_Oabs__if,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(v_Q,type,
v_Q: $i ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Nitpick_Onat__gcd,type,
c_Nitpick_Onat__gcd: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Ocomm__ring,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(c_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(class_Ring__and__Field_Oordered__semiring__strict,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(class_Ring__and__Field_Opordered__cancel__semiring,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(class_Nat_Osemiring__char__0,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(c_Power_Opower__class_Opower,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(c_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_Ring__and__Field_Odvd__class_Odvd,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(c_HOL_Ozero__class_Ozero,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(c_HOL_Oone__class_Oone,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(class_OrderedGroup_Omonoid__mult,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(class_Ring__and__Field_Omult__mono1,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(c_HOL_Osgn__class_Osgn,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_Fun_Oid,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_List_Odrop,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Olordered__ab__group__add__abs,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(class_Ring__and__Field_Oring__1,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(class_Ring__and__Field_Olordered__ring,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(class_Ring__and__Field_Osgn__if,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(class_Ring__and__Field_Odvd,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
tff(class_Ring__and__Field_Omult__mono,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(c_HOL_Oabs__class_Oabs,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $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_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(tc_String_Ochar,type,
tc_String_Ochar: $i ).
tff(class_Ring__and__Field_Opordered__semiring,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(v_xb,type,
v_xb: $i ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(t_b,type,
t_b: $i ).
tff(c_Natural_Osko__Natural__Xevaln__max2__1__1,type,
c_Natural_Osko__Natural__Xevaln__max2__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Osemiring__1,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i * $i ) > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(c_Natural_Oevaln,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(f_4301,axiom,
c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_HOL_Ozero__class_Ozero(tc_nat),
file(unknown,unknown) ).
tff(f_9366,axiom,
! [V_nat_H] : ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ),
file(unknown,unknown) ).
tff(f_9545,axiom,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
file(unknown,unknown) ).
tff(f_9474,axiom,
! [V_n,V_P,V_s,V_s1] :
( ( V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1)) )
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1) ),
file(unknown,unknown) ).
tff(c_1126,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),
inference(cnfTransformation,[status(thm)],[f_4301]) ).
tff(c_2440,plain,
! [V_nat_H_3652] : ( c_Suc(V_nat_H_3652) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_9366]) ).
tff(c_2626,plain,
! [V_nat_H_3652] : ( c_Suc(V_nat_H_3652) != c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) ),
inference(demodulation,[status(thm),theory(equality)],[c_1126,c_2440]) ).
tff(c_2532,plain,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
inference(cnfTransformation,[status(thm)],[f_9545]) ).
tff(c_2645,plain,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),v_xb),
inference(demodulation,[status(thm),theory(equality)],[c_1126,c_2532]) ).
tff(c_82116,plain,
! [V_P_5257,V_s_5258,V_n_5259,V_s1_5260] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P_5257),V_s_5258,V_n_5259,V_s1_5260)
| ( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P_5257,V_n_5259,V_s_5258,V_s1_5260)) = V_n_5259 ) ),
inference(cnfTransformation,[status(thm)],[f_9474]) ).
tff(c_82123,plain,
c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),v_xa,v_xb)) = c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),
inference(resolution,[status(thm)],[c_2645,c_82116]) ).
tff(c_82128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2626,c_82123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV821-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.15 % 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
% 0.14/0.36 % Computer : n024.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 22:50:15 EDT 2023
% 0.14/0.36 % CPUTime :
% 37.41/16.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.41/16.54
% 37.41/16.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 37.41/16.57
% 37.41/16.57 Inference rules
% 37.41/16.57 ----------------------
% 37.41/16.57 #Ref : 27
% 37.41/16.57 #Sup : 17063
% 37.41/16.57 #Fact : 10
% 37.41/16.57 #Define : 0
% 37.41/16.57 #Split : 14
% 37.41/16.57 #Chain : 0
% 37.41/16.57 #Close : 0
% 37.41/16.57
% 37.41/16.57 Ordering : KBO
% 37.41/16.57
% 37.41/16.57 Simplification rules
% 37.41/16.57 ----------------------
% 37.41/16.57 #Subsume : 6743
% 37.41/16.57 #Demod : 12359
% 37.41/16.57 #Tautology : 5169
% 37.41/16.57 #SimpNegUnit : 444
% 37.41/16.57 #BackRed : 44
% 37.41/16.57
% 37.41/16.57 #Partial instantiations: 0
% 37.41/16.57 #Strategies tried : 1
% 37.41/16.57
% 37.41/16.57 Timing (in seconds)
% 37.41/16.57 ----------------------
% 37.41/16.57 Preprocessing : 2.04
% 37.41/16.57 Parsing : 1.17
% 37.41/16.57 CNF conversion : 0.16
% 37.41/16.57 Main loop : 13.46
% 37.41/16.57 Inferencing : 1.98
% 37.41/16.57 Reduction : 6.90
% 37.41/16.57 Demodulation : 5.20
% 37.41/16.57 BG Simplification : 0.27
% 37.41/16.57 Subsumption : 3.57
% 37.41/16.57 Abstraction : 0.20
% 37.41/16.57 MUC search : 0.00
% 37.41/16.57 Cooper : 0.00
% 37.41/16.57 Total : 15.55
% 37.41/16.57 Index Insertion : 0.00
% 37.41/16.57 Index Deletion : 0.00
% 37.41/16.57 Index Matching : 0.00
% 37.41/16.57 BG Taut test : 0.00
%------------------------------------------------------------------------------