TSTP Solution File: LCL805-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL805-1 : 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 : n029.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 10:49:03 EDT 2023
% Result : Unsatisfiable 8.00s 2.89s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 141
% Syntax : Number of formulae : 146 ( 8 unt; 138 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 261 ( 123 >; 138 *; 0 +; 0 <<)
% Number of predicates : 52 ( 50 usr; 1 prp; 0-4 aty)
% Number of functors : 88 ( 88 usr; 15 con; 0-6 aty)
% Number of variables : 10 (; 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_List_Olistrelp > c_lessequals > c_fequal > c_Type_Otypings > c_Type_Otyping > c_List_Olistsp > c_HOL_Oord__class_Oless > c_List_Olinorder__class_Osorted > c_List_Odistinct > c_Lambda_Obeta > hBOOL > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osemiring__1 > class_Ring__and__Field_Osemiring__0 > class_Ring__and__Field_Oring__1__no__zero__divisors > class_Ring__and__Field_Oring__1 > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ocomm__semiring__1 > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Osemigroup__add > 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 > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add__meet > 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__add > class_OrderedGroup_Oab__group__add > class_Nat_Osemiring__char__0 > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Int_Oring__char__0 > class_Int_Onumber__ring > class_Int_Onumber > class_Divides_Osemiring__div > class_Divides_Oring__div > c_COMBB > c_Map_Omap__upds > c_List_Osko__List__Xmap__ext__1__1 > c_List_Osko__List__Xmap__eq__conv__1__1 > c_List_Osko__List__Xmap__cong__1__1 > c_List_Osko__List__Xlistsum__map__filter__1__1 > c_List_Olist_Olist__case > c_List_Ofoldl > c_Fun_Ocomp > c_COMBC > c_Type_Osko__Type__Xvar__app__types__1__1 > c_Type_Osko__Type__Xvar__app__typesE__1__1 > c_Type_Osko__Type__Xlist__app__typeE__1__1 > c_Type_Osko__Type__Xlist__app__typeD__1__1 > c_Type_Oshift > c_Nat_Osemiring__1__class_Oof__nat__aux > c_List_Omap > c_List_Olist__update > c_List_Ofiltermap > c_Power_Opower__class_Opower > c_List_Otake > c_List_Osko__List__Xmap__idI__1__1 > c_List_Osko__List__Xin__listsp__conv__set__1__1 > c_List_Orotate > c_List_Oreplicate > c_List_Oremove1 > c_List_Olist_Olist__size > c_List_Olist_OCons > c_List_Ofilter > c_List_Odrop > c_List_Oappend > c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 > c_Lattices_Olower__semilattice__class_Oinf > c_Lambda_Osubstn > c_Lambda_Oliftn > c_HOL_Ominus__class_Ominus > c_Divides_Odiv__class_Omod > v_sko__List__Xlistsp__Xinducts__2 > v_sko__List__Xlistsp__Xinducts__1 > v_sko__List__Xlistsp__Xinduct__2 > v_sko__List__Xlistsp__Xinduct__1 > v_sko__List__Xlistsp__Xcases__2 > v_sko__List__Xlistsp__Xcases__1 > tc_fun > hAPP > c_Type_Otype_OFun > c_Nat_Osize__class_Osize > c_Nat_Osemiring__1__class_Oof__nat > c_List_Orev > c_List_Oremdups > c_List_Olistsum > c_List_Olength__unique > c_Int_Onumber__class_Onumber__of > #nlpp > v_sko__List__Xtake__Xinduct__2 > v_sko__List__Xtake__Xinduct__1 > v_sko__List__Xremove1__Xinduct__2 > v_sko__List__Xremove1__Xinduct__1 > v_sko__List__Xmap__Xinduct__2 > v_sko__List__Xmap__Xinduct__1 > v_sko__List__Xlist__Xinduct__2 > v_sko__List__Xlist__Xinduct__1 > v_sko__List__Xdistinct__Xinduct__2 > v_sko__List__Xdistinct__Xinduct__1 > v_sko__List__Xconcat__Xinduct__2 > v_sko__List__Xconcat__Xinduct__1 > tc_List_Olist > c_Suc > c_List_Olist_ONil > c_Lambda_OdB_OVar > c_Lambda_OdB_OAbs > c_HOL_Ozero__class_Ozero > c_HOL_Oplus__class_Oplus > c_HOL_Oone__class_Oone > v_ua______ > v_u____ > v_n____ > v_i____ > tc_nat > tc_bool > tc_Type_Otype > tc_Lambda_OdB > tc_Int_Oint > t_b > t_a > c_Lambda_Osubst > c_Lambda_Olift > c_Lambda_OdB_OApp > c_InductTermi_OIT
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_Int_Oring__char__0,type,
class_Int_Oring__char__0: $i > $o ).
tff(c_List_Ofiltermap,type,
c_List_Ofiltermap: ( $i * $i * $i * $i ) > $i ).
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(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_List_Olist_Olist__size,type,
c_List_Olist_Olist__size: ( $i * $i * $i ) > $i ).
tff(c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(v_sko__List__Xlistsp__Xcases__1,type,
v_sko__List__Xlistsp__Xcases__1: ( $i * $i ) > $i ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Odistinct,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(c_List_Oappend,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(c_Nat_Osize__class_Osize,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(tc_Type_Otype,type,
tc_Type_Otype: $i ).
tff(c_Lambda_Oliftn,type,
c_Lambda_Oliftn: ( $i * $i * $i ) > $i ).
tff(c_Type_Osko__Type__Xvar__app__typesE__1__1,type,
c_Type_Osko__Type__Xvar__app__typesE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(c_Int_Onumber__class_Onumber__of,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(v_sko__List__Xlistsp__Xinducts__1,type,
v_sko__List__Xlistsp__Xinducts__1: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oring__1__no__zero__divisors,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(c_Fun_Ocomp,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Ofilter,type,
c_List_Ofilter: ( $i * $i * $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_Ring__and__Field_Osemiring__0,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(c_List_Osko__List__Xmap__cong__1__1,type,
c_List_Osko__List__Xmap__cong__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xremove1__Xinduct__1,type,
v_sko__List__Xremove1__Xinduct__1: $i > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_List_Orev,type,
c_List_Orev: ( $i * $i ) > $i ).
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(v_sko__List__Xconcat__Xinduct__1,type,
v_sko__List__Xconcat__Xinduct__1: $i > $i ).
tff(c_Type_Otype_OFun,type,
c_Type_Otype_OFun: ( $i * $i ) > $i ).
tff(tc_Int_Oint,type,
tc_Int_Oint: $i ).
tff(c_Map_Omap__upds,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xmap__Xinduct__1,type,
v_sko__List__Xmap__Xinduct__1: $i > $i ).
tff(c_InductTermi_OIT,type,
c_InductTermi_OIT: $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(v_sko__List__Xdistinct__Xinduct__2,type,
v_sko__List__Xdistinct__Xinduct__2: $i > $i ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(c_Lambda_Obeta,type,
c_Lambda_Obeta: ( $i * $i ) > $o ).
tff(c_List_Ofoldl,type,
c_List_Ofoldl: ( $i * $i * $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(c_List_Olistsp,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(c_Type_Osko__Type__Xlist__app__typeD__1__1,type,
c_Type_Osko__Type__Xlist__app__typeD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xtake__Xinduct__1,type,
v_sko__List__Xtake__Xinduct__1: $i > $i ).
tff(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(class_Int_Onumber,type,
class_Int_Onumber: $i > $o ).
tff(class_Ring__and__Field_Ozero__neq__one,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(c_Type_Osko__Type__Xvar__app__types__1__1,type,
c_Type_Osko__Type__Xvar__app__types__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Osko__List__Xlistsum__map__filter__1__1,type,
c_List_Osko__List__Xlistsum__map__filter__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Oreplicate,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1,type,
c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1: ( $i * $i * $i ) > $i ).
tff(v_ua______,type,
v_ua______: $i ).
tff(c_Lambda_Osubst,type,
c_Lambda_Osubst: $i ).
tff(c_List_Osko__List__Xin__listsp__conv__set__1__1,type,
c_List_Osko__List__Xin__listsp__conv__set__1__1: ( $i * $i * $i ) > $i ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(c_Lambda_OdB_OVar,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(c_Type_Oshift,type,
c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Osko__List__Xmap__idI__1__1,type,
c_List_Osko__List__Xmap__idI__1__1: ( $i * $i * $i ) > $i ).
tff(c_List_Oremdups,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(v_n____,type,
v_n____: $i ).
tff(c_Type_Otyping,type,
c_Type_Otyping: ( $i * $i * $i ) > $o ).
tff(c_Suc,type,
c_Suc: $i > $i ).
tff(c_List_Olinorder__class_Osorted,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(v_sko__List__Xlistsp__Xinducts__2,type,
v_sko__List__Xlistsp__Xinducts__2: ( $i * $i ) > $i ).
tff(c_List_Olistsum,type,
c_List_Olistsum: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(c_Lambda_OdB_OAbs,type,
c_Lambda_OdB_OAbs: $i > $i ).
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(c_Type_Osko__Type__Xlist__app__typeE__1__1,type,
c_Type_Osko__Type__Xlist__app__typeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Olist__update,type,
c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(c_List_Osko__List__Xmap__eq__conv__1__1,type,
c_List_Osko__List__Xmap__eq__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Oremove1,type,
c_List_Oremove1: ( $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__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(class_Power_Opower,type,
class_Power_Opower: $i > $o ).
tff(v_sko__List__Xlistsp__Xinduct__2,type,
v_sko__List__Xlistsp__Xinduct__2: ( $i * $i ) > $i ).
tff(v_sko__List__Xtake__Xinduct__2,type,
v_sko__List__Xtake__Xinduct__2: $i > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(c_Lambda_OdB_OApp,type,
c_Lambda_OdB_OApp: $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_List_Olist_Olist__case,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Type_Otypings,type,
c_Type_Otypings: ( $i * $i * $i ) > $o ).
tff(c_Lambda_Osubstn,type,
c_Lambda_Osubstn: ( $i * $i * $i ) > $i ).
tff(c_List_Orotate,type,
c_List_Orotate: ( $i * $i * $i ) > $i ).
tff(c_COMBB,type,
c_COMBB: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(class_Nat_Osemiring__char__0,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(c_Power_Opower__class_Opower,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(tc_Lambda_OdB,type,
tc_Lambda_OdB: $i ).
tff(class_OrderedGroup_Osemigroup__add,type,
class_OrderedGroup_Osemigroup__add: $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(v_sko__List__Xconcat__Xinduct__2,type,
v_sko__List__Xconcat__Xinduct__2: $i > $i ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(class_OrderedGroup_Omonoid__mult,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(v_sko__List__Xremove1__Xinduct__2,type,
v_sko__List__Xremove1__Xinduct__2: $i > $i ).
tff(v_sko__List__Xlistsp__Xcases__2,type,
v_sko__List__Xlistsp__Xcases__2: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(v_sko__List__Xlistsp__Xinduct__1,type,
v_sko__List__Xlistsp__Xinduct__1: ( $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_List_Odrop,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oring__1,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(v_sko__List__Xlist__Xinduct__2,type,
v_sko__List__Xlist__Xinduct__2: $i > $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $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(c_List_Osko__List__Xmap__ext__1__1,type,
c_List_Osko__List__Xmap__ext__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(v_i____,type,
v_i____: $i ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(v_sko__List__Xdistinct__Xinduct__1,type,
v_sko__List__Xdistinct__Xinduct__1: $i > $i ).
tff(c_List_Otake,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(v_sko__List__Xlist__Xinduct__1,type,
v_sko__List__Xlist__Xinduct__1: $i > $i ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(t_b,type,
t_b: $i ).
tff(v_u____,type,
v_u____: $i ).
tff(v_sko__List__Xmap__Xinduct__2,type,
v_sko__List__Xmap__Xinduct__2: $i > $i ).
tff(c_Lambda_Olift,type,
c_Lambda_Olift: $i ).
tff(class_Ring__and__Field_Osemiring__1,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(c_List_Olength__unique,type,
c_List_Olength__unique: ( $i * $i ) > $i ).
tff(c_List_Olistrelp,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(c_List_Omap,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(f_4573,axiom,
! [V_A,T_a] : c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a),
file(unknown,unknown) ).
tff(f_4582,axiom,
! [T_a,V_f,T_b] : ( c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ),
file(unknown,unknown) ).
tff(f_4584,axiom,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file(unknown,unknown) ).
tff(c_1670,plain,
! [V_A_2464,T_a_2465] : c_List_Olistsp(V_A_2464,c_List_Olist_ONil(T_a_2465),T_a_2465),
inference(cnfTransformation,[status(thm)],[f_4573]) ).
tff(c_1680,plain,
! [V_f_2479,T_b_2480,T_a_2478] : ( c_List_Omap(V_f_2479,c_List_Olist_ONil(T_b_2480),T_b_2480,T_a_2478) = c_List_Olist_ONil(T_a_2478) ),
inference(cnfTransformation,[status(thm)],[f_4582]) ).
tff(c_1682,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnfTransformation,[status(thm)],[f_4584]) ).
tff(c_1839,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(demodulation,[status(thm),theory(equality)],[c_1680,c_1680,c_1682]) ).
tff(c_1842,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1670,c_1839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL805-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % 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
% 0.15/0.34 % Computer : n029.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 14:19:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 8.00/2.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.00/2.90
% 8.00/2.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.00/2.93
% 8.00/2.93 Inference rules
% 8.00/2.93 ----------------------
% 8.00/2.93 #Ref : 0
% 8.00/2.93 #Sup : 0
% 8.00/2.93 #Fact : 0
% 8.00/2.93 #Define : 0
% 8.00/2.93 #Split : 0
% 8.00/2.93 #Chain : 0
% 8.00/2.93 #Close : 0
% 8.00/2.93
% 8.00/2.93 Ordering : KBO
% 8.00/2.93
% 8.00/2.93 Simplification rules
% 8.00/2.93 ----------------------
% 8.00/2.93 #Subsume : 917
% 8.00/2.93 #Demod : 4
% 8.00/2.93 #Tautology : 1
% 8.00/2.93 #SimpNegUnit : 0
% 8.00/2.93 #BackRed : 0
% 8.00/2.93
% 8.00/2.93 #Partial instantiations: 0
% 8.00/2.93 #Strategies tried : 1
% 8.00/2.93
% 8.00/2.93 Timing (in seconds)
% 8.00/2.93 ----------------------
% 8.00/2.93 Preprocessing : 1.70
% 8.00/2.93 Parsing : 0.96
% 8.00/2.93 CNF conversion : 0.14
% 8.00/2.93 Main loop : 0.18
% 8.00/2.93 Inferencing : 0.00
% 8.00/2.93 Reduction : 0.09
% 8.00/2.93 Demodulation : 0.06
% 8.00/2.93 BG Simplification : 0.15
% 8.00/2.93 Subsumption : 0.06
% 8.00/2.93 Abstraction : 0.03
% 8.00/2.93 MUC search : 0.00
% 8.00/2.93 Cooper : 0.00
% 8.00/2.93 Total : 1.93
% 8.00/2.93 Index Insertion : 0.00
% 8.00/2.93 Index Deletion : 0.00
% 8.00/2.93 Index Matching : 0.00
% 8.00/2.94 BG Taut test : 0.00
%------------------------------------------------------------------------------