TSTP Solution File: LCL762-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL762-1 : 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 : n023.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 10:48:56 EDT 2023

% Result   : Unsatisfiable 6.09s 2.43s
% Output   : CNFRefutation 6.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  117
% Syntax   : Number of formulae    :  122 (   8 unt; 114 typ;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  210 ( 103   >; 107   *;   0   +;   0  <<)
%            Number of predicates  :   32 (  30 usr;   1 prp; 0-4 aty)
%            Number of functors    :   84 (  84 usr;  11 con; 0-5 aty)
%            Number of variables   :    2 (;   2   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_List_Olistrelp > c_ListOrder_Ostep1 > c_Wellfounded_Oaccp > c_Type_Otypings > c_Type_Otyping > c_OrderedGroup_Omonoid__add > c_List_Olistsp > c_HOL_Oord__class_Oless > c_OrderedGroup_Osemigroup__add > c_List_Olinorder__class_Osorted > hBOOL > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ocomm__semiring__1 > 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_Omonoid__add > class_OrderedGroup_Olordered__ab__group__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_Int_Onumber__ring > c_Map_Omap__upds > c_List_Olist_Olist__case > c_List_Ofoldr > c_List_Ofoldl > c_Lambda_OdB_OdB__rec > c_Lambda_OdB_OdB__case > c_Type_Osko__Type__Xvar__app__types__1__1 > c_Type_Osko__Type__Xvar__app__typesE__1__1 > c_Type_Osko__Type__Xtypes__snocE__1__2 > c_Type_Osko__Type__Xtypes__snocE__1__1 > c_Type_Osko__Type__Xlist__app__typeE__1__1 > c_Type_Osko__Type__Xlist__app__typeD__1__1 > c_List_Omap > c_List_Olist__update > c_List_Ofiltermap > c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 > c_Predicate_Oconversep > c_List_Osko__List__Xfilter__eq__Cons__iff__1__3 > c_List_Osko__List__XCons__eq__filter__iff__1__3 > c_List_Orotate > c_List_Oreplicate > c_List_Oremove1 > c_List_Olist_OCons > c_List_Ofilter > c_List_Oappend > c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 > c_Lambda_Osubstn > c_Lambda_Osubst > c_Lambda_Oliftn > tc_fun > hAPP > c_Transitive__Closure_Ortranclp > c_Nat_Osize__class_Osize > c_List_Orev > c_List_Oremdups > c_Lambda_Olift > #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__XdropWhile__Xinduct__2 > v_sko__List__XdropWhile__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 > v_sko__InductTermi__XIT__Xcases__6 > v_sko__InductTermi__XIT__Xcases__5 > v_sko__InductTermi__XIT__Xcases__4 > v_sko__InductTermi__XIT__Xcases__3 > v_sko__InductTermi__XIT__Xcases__2 > v_sko__InductTermi__XIT__Xcases__1 > tc_List_Olist > c_fequal > c_List_Olist_ONil > c_ListApplication_Osko__ListApplication__Xlem__1__4 > c_ListApplication_Osko__ListApplication__Xlem__1__3 > c_ListApplication_Osko__ListApplication__Xlem__1__2 > c_ListApplication_Osko__ListApplication__Xlem__1__1 > c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 > c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 > c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 > c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 > c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 > c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 > c_Lambda_OdB_OVar > c_Lambda_OdB_OAbs > c_HOL_Ozero__class_Ozero > c_HOL_Oplus__class_Oplus > v_n > tc_nat > tc_bool > tc_Type_Otype > tc_Lambda_OdB > t_b > t_a > c_Type_Otype_OFun > c_Lambda_OdB_OApp > c_Lambda_Obeta > c_InductTermi_OIT

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c_Lambda_Olift,type,
    c_Lambda_Olift: ( $i * $i ) > $i ).

tff(c_List_Ofiltermap,type,
    c_List_Ofiltermap: ( $i * $i * $i * $i ) > $i ).

tff(class_Orderings_Olinorder,type,
    class_Orderings_Olinorder: $i > $o ).

tff(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3,type,
    c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3: $i > $i ).

tff(class_Int_Onumber__ring,type,
    class_Int_Onumber__ring: $i > $o ).

tff(c_List_Olist_ONil,type,
    c_List_Olist_ONil: $i > $i ).

tff(c_HOL_Oord__class_Oless,type,
    c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).

tff(c_fequal,type,
    c_fequal: $i > $i ).

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_Lambda_OdB_OdB__case,type,
    c_Lambda_OdB_OdB__case: ( $i * $i * $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_List_Ofilter,type,
    c_List_Ofilter: ( $i * $i * $i ) > $i ).

tff(v_sko__List__Xremove1__Xinduct__1,type,
    v_sko__List__Xremove1__Xinduct__1: $i > $i ).

tff(c_List_Orev,type,
    c_List_Orev: ( $i * $i ) > $i ).

tff(class_OrderedGroup_Oab__semigroup__add,type,
    class_OrderedGroup_Oab__semigroup__add: $i > $o ).

tff(v_n,type,
    v_n: $i ).

tff(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2,type,
    c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2: $i > $i ).

tff(v_sko__InductTermi__XIT__Xcases__4,type,
    v_sko__InductTermi__XIT__Xcases__4: $i > $i ).

tff(v_sko__List__Xconcat__Xinduct__1,type,
    v_sko__List__Xconcat__Xinduct__1: $i > $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(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_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(v_sko__InductTermi__XIT__Xcases__1,type,
    v_sko__InductTermi__XIT__Xcases__1: $i > $i ).

tff(c_List_Olistsp,type,
    c_List_Olistsp: ( $i * $i * $i ) > $o ).

tff(c_Type_Osko__Type__Xtypes__snocE__1__1,type,
    c_Type_Osko__Type__Xtypes__snocE__1__1: ( $i * $i * $i * $i ) > $i ).

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(c_Lambda_Osubst,type,
    c_Lambda_Osubst: ( $i * $i * $i ) > $i ).

tff(v_sko__List__Xtake__Xinduct__1,type,
    v_sko__List__Xtake__Xinduct__1: $i > $i ).

tff(v_sko__InductTermi__XIT__Xcases__2,type,
    v_sko__InductTermi__XIT__Xcases__2: $i > $i ).

tff(c_ListApplication_Osko__ListApplication__Xlem__1__2,type,
    c_ListApplication_Osko__ListApplication__Xlem__1__2: $i > $i ).

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_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4,type,
    c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4: $i > $i ).

tff(c_ListApplication_Osko__ListApplication__Xlem__1__4,type,
    c_ListApplication_Osko__ListApplication__Xlem__1__4: $i > $i ).

tff(c_ListOrder_Ostep1,type,
    c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).

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_sko__List__XdropWhile__Xinduct__2,type,
    v_sko__List__XdropWhile__Xinduct__2: $i > $i ).

tff(c_ListApplication_Osko__ListApplication__Xlem__1__3,type,
    c_ListApplication_Osko__ListApplication__Xlem__1__3: $i > $i ).

tff(c_List_Ofoldr,type,
    c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).

tff(c_List_Osko__List__XCons__eq__filter__iff__1__3,type,
    c_List_Osko__List__XCons__eq__filter__iff__1__3: ( $i * $i * $i ) > $i ).

tff(v_sko__InductTermi__XIT__Xcases__5,type,
    v_sko__InductTermi__XIT__Xcases__5: $i > $i ).

tff(c_Type_Osko__Type__Xtypes__snocE__1__2,type,
    c_Type_Osko__Type__Xtypes__snocE__1__2: ( $i * $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_List_Oremdups,type,
    c_List_Oremdups: ( $i * $i ) > $i ).

tff(c_Type_Otyping,type,
    c_Type_Otyping: ( $i * $i * $i ) > $o ).

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(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_OrderedGroup_Ocancel__semigroup__add,type,
    class_OrderedGroup_Ocancel__semigroup__add: $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_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(v_sko__List__XdropWhile__Xinduct__1,type,
    v_sko__List__XdropWhile__Xinduct__1: $i > $i ).

tff(class_OrderedGroup_Ocomm__monoid__add,type,
    class_OrderedGroup_Ocomm__monoid__add: $i > $o ).

tff(c_ListApplication_Osko__ListApplication__Xlem__1__1,type,
    c_ListApplication_Osko__ListApplication__Xlem__1__1: $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(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1,type,
    c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1: ( $i * $i * $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(c_List_Osko__List__Xfilter__eq__Cons__iff__1__3,type,
    c_List_Osko__List__Xfilter__eq__Cons__iff__1__3: ( $i * $i * $i ) > $i ).

tff(c_OrderedGroup_Omonoid__add,type,
    c_OrderedGroup_Omonoid__add: ( $i * $i * $i ) > $o ).

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_ListApplication_Osko__ListApplication__Xex__head__tail__1__2,type,
    c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2: $i > $i ).

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_Lambda_OdB_OdB__rec,type,
    c_Lambda_OdB_OdB__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(c_List_Orotate,type,
    c_List_Orotate: ( $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(v_sko__List__Xconcat__Xinduct__2,type,
    v_sko__List__Xconcat__Xinduct__2: $i > $i ).

tff(v_sko__List__Xremove1__Xinduct__2,type,
    v_sko__List__Xremove1__Xinduct__2: $i > $i ).

tff(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1,type,
    c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1: $i > $i ).

tff(v_sko__InductTermi__XIT__Xcases__3,type,
    v_sko__InductTermi__XIT__Xcases__3: $i > $i ).

tff(class_OrderedGroup_Oab__group__add,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

tff(hAPP,type,
    hAPP: ( $i * $i ) > $i ).

tff(c_Wellfounded_Oaccp,type,
    c_Wellfounded_Oaccp: ( $i * $i * $i ) > $o ).

tff(v_sko__List__Xlist__Xinduct__2,type,
    v_sko__List__Xlist__Xinduct__2: $i > $i ).

tff(c_Type_Otype_OFun,type,
    c_Type_Otype_OFun: $i ).

tff(c_List_Olist_OCons,type,
    c_List_Olist_OCons: ( $i * $i * $i ) > $i ).

tff(hBOOL,type,
    hBOOL: $i > $o ).

tff(v_sko__InductTermi__XIT__Xcases__6,type,
    v_sko__InductTermi__XIT__Xcases__6: $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_Transitive__Closure_Ortranclp,type,
    c_Transitive__Closure_Ortranclp: ( $i * $i ) > $i ).

tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
    class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).

tff(c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1,type,
    c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1: $i > $i ).

tff(v_sko__List__Xlist__Xinduct__1,type,
    v_sko__List__Xlist__Xinduct__1: $i > $i ).

tff(t_b,type,
    t_b: $i ).

tff(v_sko__List__Xmap__Xinduct__2,type,
    v_sko__List__Xmap__Xinduct__2: $i > $i ).

tff(c_Predicate_Oconversep,type,
    c_Predicate_Oconversep: ( $i * $i * $i ) > $i ).

tff(c_Lambda_Obeta,type,
    c_Lambda_Obeta: $i ).

tff(c_OrderedGroup_Osemigroup__add,type,
    c_OrderedGroup_Osemigroup__add: ( $i * $i ) > $o ).

tff(class_Ring__and__Field_Oordered__semidom,type,
    class_Ring__and__Field_Oordered__semidom: $i > $o ).

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_2001,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
    file(unknown,unknown) ).

tff(f_1985,axiom,
    ! [V_m] : ( c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
    file(unknown,unknown) ).

tff(f_1999,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file(unknown,unknown) ).

tff(c_804,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
    inference(cnfTransformation,[status(thm)],[f_2001]) ).

tff(c_794,plain,
    ! [V_m_1304] : ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m_1304),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OVar(V_m_1304) ),
    inference(cnfTransformation,[status(thm)],[f_1985]) ).

tff(c_802,plain,
    hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    inference(cnfTransformation,[status(thm)],[f_1999]) ).

tff(c_845,plain,
    hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
    inference(demodulation,[status(thm),theory(equality)],[c_794,c_802]) ).

tff(c_846,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_804,c_845]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LCL762-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % 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
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 13:43:22 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 6.09/2.43  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.09/2.43  
% 6.09/2.43  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.09/2.46  
% 6.09/2.46  Inference rules
% 6.09/2.46  ----------------------
% 6.09/2.46  #Ref     : 0
% 6.09/2.46  #Sup     : 0
% 6.09/2.46  #Fact    : 0
% 6.09/2.46  #Define  : 0
% 6.09/2.46  #Split   : 0
% 6.09/2.46  #Chain   : 0
% 6.09/2.46  #Close   : 0
% 6.09/2.46  
% 6.09/2.46  Ordering : KBO
% 6.09/2.46  
% 6.09/2.46  Simplification rules
% 6.09/2.46  ----------------------
% 6.09/2.46  #Subsume      : 421
% 6.09/2.46  #Demod        : 1
% 6.09/2.46  #Tautology    : 0
% 6.09/2.46  #SimpNegUnit  : 1
% 6.09/2.46  #BackRed      : 0
% 6.09/2.46  
% 6.09/2.46  #Partial instantiations: 0
% 6.09/2.46  #Strategies tried      : 1
% 6.09/2.46  
% 6.09/2.46  Timing (in seconds)
% 6.09/2.46  ----------------------
% 6.09/2.47  Preprocessing        : 1.29
% 6.09/2.47  Parsing              : 0.75
% 6.09/2.47  CNF conversion       : 0.10
% 6.09/2.47  Main loop            : 0.12
% 6.09/2.47  Inferencing          : 0.00
% 6.09/2.47  Reduction            : 0.05
% 6.09/2.47  Demodulation         : 0.04
% 6.09/2.47  BG Simplification    : 0.09
% 6.09/2.47  Subsumption          : 0.04
% 6.09/2.47  Abstraction          : 0.02
% 6.09/2.47  MUC search           : 0.00
% 6.09/2.47  Cooper               : 0.00
% 6.09/2.47  Total                : 1.45
% 6.09/2.47  Index Insertion      : 0.00
% 6.09/2.47  Index Deletion       : 0.00
% 6.09/2.47  Index Matching       : 0.00
% 6.09/2.47  BG Taut test         : 0.00
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